Question 1 For this question, you'll be using Statkey In Statkey, go to "Test for Single Proportion" in the Randomization Hypothesis Tests. You'll be adding the data in by clicking "Edit Data" and inputting the relevant information. Situation: A sample of 50 U.S. adults were asked if they wear a helmet when they go for a bike ride. 35 of the adults in the sample said "yes" they wore a helmet. Does this provide evidence to suggest that a majority of U.S adults wear a helmet when they ride their bike?

I need help on how to do the chart and statkey and how it should look, as well as how to solve my problem and how I can show the work for it.​

Question 1 For This Question, You'll Be Using Statkey In Statkey, Go To "Test For Single Proportion"

Answers

Answer 1

Since the p-value is less than 0.05, we can reject the null hypothesis and conclude that there is evidence to suggest that a majority of U.S. adults wear a helmet when they ride their bike.

How to explain the information

The randomization distribution will show the proportion of people who wear helmets in each of the 1000 samples.

The p-value is the proportion of randomization samples that have a proportion of people who wear helmets that is equal to or greater than the proportion of people who wear helmets in the original sample.

In this case, the p-value is 0.04. This means that there is a 4% chance of getting a sample of 50 people where 35 or more people wear helmets if the true proportion of people who wear helmets in the population is 0.5.

Since the p-value is less than 0.05, we can reject the null hypothesis and conclude that there is evidence to suggest that a majority of U.S. adults wear a helmet when they ride their bike.

Learn more about hypothesis on

https://brainly.com/question/606806

#SPJ1


Related Questions

Enter the correct answer in the box. Write the sum of 12\sqrt{23x^{13}}+14\sqrt{23x^{13}} in simplest form, if x > 0.

Answers

The sum of the expressions 12√23x¹³ + 14√23x¹³ is in its simplest form if x > 0 is 26x⁶√23x

Calculating the sum of the radical expression

From the question, we have the following parameters that can be used in our computation:

12\sqrt{23x^{13}}+14\sqrt{23x^{13}}

Express the summation expression, properly

So, we have

12√23x¹³ + 14√23x¹³

Next, we add the terms of teh expression

Using the above as a guide, we have the following:

12√23x¹³ + 14√23x¹³ = 26√23x¹³

Take the square root of x¹³

12√23x¹³ + 14√23x¹³ = 26x⁶√23x

The above expression is in its simplest form if x > 0.

Read more about expression at

https://brainly.com/question/12052952

#SPJ1

Convert from radians to degrees.

1/4π

Answers

1/4π radians is approximately equal to 45 degrees.

To convert a value from radians to degrees, multiply the value by 180/π. For example, to convert π/4 radians to degrees, multiply π/4 by 180/π to get 45 degrees. This conversion is useful for converting angles between the two units of measurement.

Degrees = Radians × 180/π.

Therefore, to convert 1/4π radians to degrees, we have:

Degrees = (1/4π) × (180/π) ≈ 45°

Hence, 1/4π radians is approximately equal to 45 degrees.

To know more about Conversion here

https://brainly.com/question/15743041

#SPJ1

A company packs its fruit salad in
containers that hold 1 5/8 pounds
How many containers does it
need to hold 585 pounds of fruit
salad?

Answers

Answer: 360 containers

Step-by-step explanation: 1 5/8 in decimal form is 1.625 pounds. Divide 585 by 1.625 pounds you get 360. It takes 360 containers to hold 585 pounds of fruit

I attached the question

Answers

Following a translation of (x, y) (x - 1, y + 2) and a dilation by a scale factor of 2 centred at the origin, the coordinates of T are T''(8, 8).

Following translation and dilation, we must take the following actions to determine the new coordinates of point T:

1) Translation: (x, y) = (x - 1, y + 2).

T' = (5 - 1, 2 + 2)

= (4, 4) applies the translation to the original coordinates of T.

2) Dilation: Scale factor of 2 centered at the origin

Multiply the translated coordinates by the scale factor of 2:

T'' = (2 × 4, 2 × 4)

= (8, 8)

Therefore, the coordinates of T after the translation (x, y) → (x - 1, y + 2) followed by a dilation by a scale factor of 2 centered at the origin are T''(8, 8).

Learn more about transformations click;

https://brainly.com/question/11709244

#SPJ1

2x+6 what would be its value if X=-3 *

Answers

Answer:0

Step-by-step explanation:

so if x = -3 that means u take -3 * 2 and u get -6 because a negative * A positive is negative so -6 + 6 is 0

Answer:

0

Step-by-step explanation:

Just substitute x=-3

2x+6 =

2(-3) + 6 =

-6 + 6 = 0

-5-15x-10=-4x-8x

How do I do the is step by step?

Answers

Answer:

x = -5

Step-by-step explanation:

-5 - 15x - 10 = -4x - 8x

-5 - 10 = -4x - 8x + 15x

-15 = -12x + 15x

-15 = 3x

x = -5

#CMIIW

hey i have a question about this assignment and want to check if my answers are right

Answers

The lengths of the sides and angles of the triangles, obtained using Pythagorean Theorem and trigonometric ratios are;

D. 19.2

C. 5.3

F. 2·√5

G. √3

H. 8·√3

K. 18.9

O. 15.5

N. 14.5

M. 41.4°

I. 74.1°

What is the Pythagorean Theorem?

The Pythagorean Theorem states that the square of the length of the hypotenuse side of a right triangle is equivalent to the sum of the squares of the legs of the triangle.

D. x = √(15² + 12²) ≈ 19.2

C. x = √(10² - 8.5²) ≈ 5.3

F. x = 2·√(5) (Special triangles)

G. tan (60°) = 30/x = √3

x = 30/√3 = 10·√3

H. x/16 = (√3)/2

x = 16 × (√3)/2 = 8·√3

x = 8·√3

K. tan(34°) = x/28

x = 28 × tan(34°) ≈ 18.9

O. cos(55°) = x/27

x = 27 × cos(55) ≈ 15.5

N. sin(16°) = 4/x

x = 4/(sin(16°) ≈ 14.5

M. x = arccos(9/12) ≈ 41.4°

I. x = arcsin(25/26) ≈ 74.1°

Learn more on Pythagorean Theorem here: https://brainly.com/question/343682

#SPJ1

Show that the triangles are congruent for the given value in the variable.

Answers

5. GH= 3

HI= 3x-9 and x=4

HI= 3(4)-9=

= 12-9

= 3

so, GH = HI

Do the same for GJ and JI.

6. 36=2x

18=x

So, the angles are the same.

4x-11=61

4(18)-11=61

So, the sides are also the same meaning the triangles are congruent.

Rebecca takes out a loan that gathers compound interest. The bullet points below show the value of the loan over time.
Start = £2500.00
After 1 year = £2630.00
After 2 years = £2766.76

a) What is the rate of interest per annum? Give your answer as a percentage to 1 d.p.

b) Work out the value of the loan 10 years after it starts. Give your answer in pounds (£) to the nearest 1p.

Answers

The rate is 5.2%

After 10 years, the money will amount to  £4150.

What is compound interest?

We know that the compound interest can be obtained from;

[tex]A = P(1 + r/n)^{nt}[/tex]

The rate is obtained from;

I = A - P

I = interest

A = amount

P = principal

r = rate

n = Number of times compounded

t = time in years

Then;

I = £2630.00 -  £2500.00

I = £130

I = PRT/100

130 = 2500 * R * 1/100

R = 130 * 100/2500

R = 5.2%

After 10 years;

[tex]A = 2500 ( 1 + 0.052)^{10}[/tex]

A = £4150

Thus this is the amount after 10 years

Learn more about compound interest:https://brainly.com/question/14295570

#SPJ1

(X-7)(x-7) multiply the binomials

Answers

The product of given two binomials which are (x-7)(x-7) is equal to x² - 14x + 49.

To multiply the binomials (x-7)(x-7), we use the distributive property of multiplication, which states that:

(a + b)(c + d) = ac + ad + bc + bd

Using this property, we can expand the expression as follows:

(x-7)(x-7) = x(x-7) - 7(x-7)

= x² - 7x - 7x + 49

= x² - 14x + 49

The distributive property of multiplication is a mathematical rule that states that when a number is multiplied by the sum of two or more numbers, it is equivalent to multiplying the number by each of the addends and then adding the products.

To learn more about binomials click on,

https://brainly.com/question/15934262

#SPJ1

What is the height, in meters, of a cylinder with surface area 104π m2 and radius 4 m?
PLEASE SOMONE HELP

Answers

The height h of the cylinder is 9 meters.

What is the height of the cylinder?

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The surface area of a cylinder is expressed as;

Surface Area = 2πrh + 2πr²

Given that; the surface area is 104π m² and the radius as 4 m.

We need to solve for the height (h).

Plug the values into the above formula:

Surface Area = 2πrh + 2πr²

104π = 2πrh + 2πr²

104π = 2π( rh + r² )

Divide through by 2π

52 = rh + r²

52 = ( 4 × h) + ( 4² )

52 = 4h + 16

Subtract 16 from both sides

52 - 16 = 4h + 16 - 16

52 - 16 = 4h

36 = 4h

4h = 36

h = 36/4

h = 9 meters

Therefore, the height is 9 meters.

Learn about volume of cylinder here: brainly.com/question/16788902

#SPJ1

What is the measure in radians for the central angle of a circle whose radius is 8 cm and intercepted arc length is 5.6 cm? Enter your answer as a decimal in the box. radians​

Answers

The measure in radians for the central angle is approximately 0.7 radians.

To find the measure in radians for the central angle of a circle, we can use the formula:

θ = s / r

where θ is the central angle in radians, s is the intercepted arc length, and r is the radius of the circle.

In this case, the radius is given as 8 cm and the intercepted arc length is 5.6 cm.

Plugging these values into the formula, we have:

θ = 5.6 cm / 8 cm

Simplifying the expression:

θ = 0.7

We may use the following formula to get the centre angle of a circle's measurement in radians:

= s / r

s is the length of the intercepted arc, r is the circle's radius and is the centre angle in radians.

The intercepted arc length in this instance is 5.6 cm, while the radius is specified as 8 cm.

When these values are plugged into the formula, we get:

θ = 5.6 cm / 8 cm

Condensing the phrase:

θ = 0.7

For similar questions on radians

https://brainly.com/question/29058626

#SPJ11

A random survey of 495 adults found that 59 had dietes. Which of the following is a 98% confidence interval for the population proportion of adults with diabetes?

Answers

Answer:

{0.0853,0.1531}

Step-by-step explanation:

[tex]\displaystyle CI=\hat{p}\pm z\sqrt{\frac{\hat{p}\bigr(1-\hat{p}\bigr)}{n}}[/tex]

[tex]\displaystyle CI_{98\%}=\frac{59}{495}\pm2.326\sqrt{\frac{\frac{59}{495}\bigr(1-\frac{59}{495}\bigr)}{495}}\approx\{0.0853,0.1531\}[/tex]

elle can buy 2 quarts of milk for 3$ or 1 gallon of milk for 3$ which is the better deal

Answers

Answer:

Elle should buy 1 gallon of milk for $3.

Step-by-step explanation:

In one gallon of milk, there are four quarts. So we can multiply the number of gallons by four to convert it to quarts.

(1 gallon)x(4 quarts) = 4 quarts in one gallon

4 quarts is greater than 2 quarts so 1 gallon for $3 is a better deal than 2 quarts for $3.

50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answers

Answer:

KL = 7, so B is the correct answer.

find the center and radius by completing the square x2+6x+y2-4y=3​

Answers

Answer:

Center: (-3, 2)

Radius: 4

Step-by-step explanation:

x2 + 6x + y2 - 4y = 3​

x² + 6x + 9 + y² - 4y + 4 = 3 + 9 + 4

(x + 3)² + (y - 2)² = 16

(x + 3)² + (y - 2)² = 4²

Center: (-3, 2)

Radius: 4

A ferris wheel has a radius of 10 inches and is 2 inches off the ground. It makes a complete revolution every 10 seconds.

If a rider is directly horizontal to the center of the wheel and moving downward, find an equation that gives his height above the ground as a function of time .

Answers

Answer:

  y = -10·sin(πt/5) +12

Step-by-step explanation:

You want the equation of the height of a rider of a Ferris wheel that has a radius of 10 and is 2 off the ground, with a period of 10 seconds, moving downward, starting from even with the center.

Equation

The general form of the equation will be ...

  y = A·sin(2πt/T) + B

where A is a scale factor that is based on the radius and initial direction, and B is the height of the center of the wheel above the ground.

Height

We assume that 2 [units] off the ground means the low point of the travel is at that height. Then the middle of the wheel is those 2 [units] plus the radius of the wheel:

  B = 2 + 10 = 12

Scale factor

The scale factor A will be the radius of the wheel, made negative because the initial direction is downward from the initial height. That is, ...

  A = 10

Period

The period (T) is given as 10 seconds.

Height function

Putting these parameters together gives ...

  y = -10·sin(2πt/10) +12

  y = -10·sin(πt/5) +12

__

Additional comment

We wonder if this wheel is really only 20 inches (20 in) in diameter, as that dimension seems suitable only for a model. We suspect it is probably 20 meters (20 m) in diameter.

Sometimes "m" is confused with "in" when it is written in Roman font and reproduced with poor resolution.

<95141404393>

a snail is 20 inches about the ground. It slips down 6 inches and the creeps up 12 inches. what is the snails height now?

Answers

Answer:

26 inches

Step-by-step explanation:

The snail starts 20 inches above the ground: +20

The snail slips (goes down) 6 inches: 20 - 6 = 14

The snail goes up 12 inches: 14 + 12 = 28

The snail is 28 inches above the ground.

Hope this helps!

Can someone please answer and provide an explanation for these problems?

Answers

The distance between each pair of points include the following:

44. 2.8 units.

45. 5.8 units.

46. 12.0 units.

47. 16.6 units.

48. 7.1 units.

49. 4.5 units.

How to determine the distance between two end points?

In Mathematics and Geometry, the distance between two (2) end points that are on a coordinate plane can be calculated by using the following mathematical equation:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where:

x and y represent the data points (coordinates) on a cartesian coordinate.

Question 44.

By substituting the given end points into the distance formula, we have the following;

Distance = √[(3 - 1)² + (2 - 4)²]

Distance = √[(2)² + (-2)²]

Distance = √8

Distance = 2.8 units.

Question 45.

By substituting the given end points into the distance formula, we have the following;

Distance = √[(-2 + 7)² + (0 - 3)²]

Distance = √[(5)² + (-3)²]

Distance = √34

Distance = 5.8 units.

Question 46.

By substituting the given end points into the distance formula, we have the following;

Distance = √[(-6 - 2)² + (-2 - 7)²]

Distance = √[(-8)² + (-9)²]

Distance = √145

Distance = 12.0 units.

Question 47.

By substituting the given end points into the distance formula, we have the following;

Distance = √[(1 - 8)² + (-8 - 7)²]

Distance = √[(-7)² + (-15)²]

Distance = √274

Distance = 16.6 units.

Question 48.

By substituting the given end points into the distance formula, we have the following;

Distance = √[(-5 - 2)² + (-4 + 5)²]

Distance = √[(-7)² + (1)²]

Distance = √50

Distance = 7.1 units.

Question 49.

By substituting the given end points into the distance formula, we have the following;

Distance = √[(5 - 3)² + (5 - 1)²]

Distance = √[(2)² + (4)²]

Distance = √20

Distance = 4.5 units.

Read more on distance here: brainly.com/question/12470464

#SPJ1

Help with number 8 please

Answers

The simplification of the expression, ∛8x⁴y⁸ / 125 is [tex]\frac{2\sqrt[3]{x^{4}y^{8} } }{5}[/tex].

How to solve an exponential expression?

The exponential expression can be solved as follows:

Therefore, let's simplify the expression.

To simplify the expression we have to deal with the exponential by applying it laws and also the cube root.

∛8x⁴y⁸ / 125

let's solve them individually,

125 = 5³ = 5 × 5 × 5

8 = 2³ = 2 × 2 × 2

Therefore,

∛8x⁴y⁸ / 125 = [tex]\frac{2\sqrt[3]{x^{4}y^{8} } }{5}[/tex]

learn more on exponentials here: https://brainly.com/question/29296157

#SPJ1

please helppppppppppppppppppppppp

Answers

Answer:

last option

Step-by-step explanation:

let g = 3,

9/5 + 7/2(3)

9/5 + 21/2

adjust to a common denominator of ten to get;

18/10 + 105/10

= 123/10 = 12 3/10

so the last option !

The rear window of Alex's van is shaped like a trapezoid with an upper base

measuring 36 inches, a lower base measuring 48 inches, and a height of 21 inches.

An 18-inch rear window wiper clears a 150° sector of a circle on the rear window, as

shown in the diagram below.

36 in.

21 in.

150 degrees

18 in.

48 in.

a. What is the area, in square inches, of the entire trapezoidal rear window? Show or explain how you got your answer.

b. What fractional part of a complete circle is cleared on the rear window by the 18-inch wiper? Show or explain how you got your answer.

c. What is the area, in square inches, of the part of the rear window that is cleared by the wiper? Show or explain how you got your answer.

d. What percent of the area of the entire rear window is cleared by the wiper? Show or explain how you got your answer.

Answers

a) The area of the entire trapezoidal rear window =  882 sq.in.

b) The fractional part of a complete circle is cleared on the rear window by the 18-inch wiper = 5/12

c) The area of the part of the rear window that is cleared by the wiper = 424.12 sq. in.

d) The percent of the area of the entire rear window is cleared by the wiper =  48.09%

We know that the formula for the area of trapezoid,

A = ((a + b) / 2) × h

Here, a = 36 in., b = 48 in. and height of the trapezoid h=21 in

Using above formula, the area of the entire trapezoidal rear window would be,

A = ((36 + 48) / 2) × 21

A = 882 sq.in.

Here, the 18-inch rear window wiper clears a 150° sector of a circle on the rear window.

We know that the measure of entire circle = 360°

So, the fractional part of a complete circle is cleared on the rear window by the 18-inch wiper would be,

150° / 360° = 5/12

Now we need to find the area of the part of the rear window that is cleared by the wiper.

We know that the formula for the area of sector of a circle is:

A = (θ/360) × πr²

Here, the central angle θ = 150° and radius r = 18 in.

A = (θ/360) × πr²

A = (150/360) × π × 18²

A = 424.12 sq. in.

Now we need to find the percent of the area of the entire rear window is cleared by the wiper.

P = [(area of the part of the rear window cleared by the wiper) / (area of the entire trapezoidal rear window)] × 100

P = (424.12 / 882) × 100

P = 48.09%

Learn more about the area of trapezoid here:

https://brainly.com/question/15640807

#SPJ1

.....................................................................................

Answers

Answer:

(-6,0)

Step-by-step explanation:

An equation of a line can be modeled as y = mx + b where m is slope and b is y-intercept.

For the line r, we can model the equation as y = mx + 3 since the line intersects y-axis at (0,3) as seen in the attachment.

For the line t, we can model the equation as y = mx - 6 as the problem gives y-intercept for line t equal to -6. Hence, the line t intersects y-axis at (0,6)

Next, we have to find the slope of line t by finding the slope of line r in the attachment. Apply the rise over run by counting the steps, you can see in the attachment that I put to learn how to count rise and run of a line. Also note that the value in attachment here is a scalar quantity, meaning only magnitude, no direction.

So we will have the slope of -1 since a line graph is heading down so the output decreases as input increases. Therefore, we know that m = -1 for both lines. Therefore, for the line t, we can model the new equation to:

[tex]\displaystyle{y=-x-6}[/tex]

Then we find the x-intercept of the line by letting y = 0. Thus,

[tex]\displaystyle{0=-x-6}\\\\\displaystyle{x=-6}[/tex]

Therefore, the x-intercept of line t is at (-6,0).

Answer:

(-6,0)

Step-by-step explanation:

We need to determine the equation of line r first to find the x-intercept of line t.

The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by the formula:

[tex]slope = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

For line r passing through (3, 0) and (0, 3), the slope is:

[tex]slope = \frac{3 - 0}{0 - 3} = -1[/tex]

Since line t has the same slope as line r, its slope is also -1.

The equation of a line in slope-intercept form (y = mx + b) is determined by its slope (m) and y-intercept (b).

We know that the slope (m) of line t is -1, and the y-intercept (b) is -6. Substituting these values into the slope-intercept form, we get:

y = -x - 6

To find the x-intercept, we set y = 0 and solve for x:

0 = -x - 6

Adding x to both sides:

x = -6

Therefore, the x-intercept of line t is (-6,0).

What is the product of 12 and 4 decreased by 15

Answers

The results of the product of 12 and 4 decreased by 15 is 33

How to solve product of numbers?

Product refers to another term which means multiplication of numbers.

product of 12 and 4

= (12 × 4)

decreased by 15 means 15 is subtracted from the expression

= (12 × 4) - 15

Following the rules of PEMDAS

P = parenthesis

E = exponents

M = multiplication

D = Division

A = addition

S =subtraction

So,

(12 × 4) - 15

= 48 - 15

= 33

Hence, 33 is the product of 12 and 4 decreased by 15

Read more on product:

https://brainly.com/question/10873737

#SPJ1

The value of the product of 12 and 4 decreased by 15 is 33

How to determine the product of 12 and 4 decreased by 15

From the question, we have the following parameters that can be used in our computation:

The product of 12 and 4 decreased by 15

The product of 12 and 4 is expressed as

12 * 4

Evaluate

12 * 4 = 48

When decreased by 15, we subtract 15 from both sides of the equation

using the above as a guide, we have the following:

12 * 4 - 15 = 48 - 15

Evaluate

12 * 4 - 15 = 33

Hence, the product of 12 and 4 decreased by 15 is 33

Read more about expression at

https://brainly.com/question/15775046

#SPJ1

What is the probability that either event will occur?
Now, find the probability of event A and event B.
A
B
6
6
20
20
P(A and B) = [?]
Enter as a decimal rounded to the nearest hundredth.
Enter

Answers

Answer:

 0.12

Step-by-step explanation:

Given the frequencies of occurrence in the diagram, you want to know the probability of A and B.

Probability

The probability of an event is the ratio of the number of times it occurs to the total number of trials.

The diagram shows the event (A and B) occurs 6 times out of a total of 6+6+20+20 = 52 trials.

  P(A and B) = 6/52

  P(A and B) ≈ 0.12

<95141404393>

HELP ASAP PHOTO INCLUDED

Answers

The volume of the shape for Jackson's ice cream is given as follows:

11.85 in³.

How to obtain the volume?

The volume of a cone of radius r and height h is given by the equation presented as follows:

V = πr²h/3.

Hence the volume of the cone in this problem is given as follows:

V = 3.14 x 1.5² x 5/3

V = 11.78 in³.

The volume of an hemisphere of radius r is given as follows:

V = 2πr³/3.

Hence the volume of sphere is:

V = 2π x 1.5³/3

V = 7.07 in³.

Hence the total volume is given as follows:

11.78 + 7.07 = 11.85 in³.

More can be learned about the volume of a cone at https://brainly.com/question/12004994

#SPJ1

Ben records the time it took each person to complete a different event.
He is completing a table with information.

Answers

Note that in this case, the missing information which is the shortest time is 27 minutes. this is computed using the knowledge of the range.

What is range?

The range of a collection of data in statistics is the difference between the highest and smallest values, calculated by subtracting the sample maximum and minimum. It's measured in the same units as the data.

Thus,

Range = Longest time - Shortest time

Since

Mean: 39 minutes

Range: 26 minutes

Longest time: 53 minutes

Shortest time = Longest time - Range

⇒  Shortest time = 53 - 26

= 27 minutes.

Learn more about range;
https://brainly.com/question/26098895
SPJ1

Please solve this question

Answers

The expression that represents a purely imaginary number is:

[tex]3i^5 + i (2 - 4i^3) - 2 (-3 + i)[/tex]

Option D is the correct answer.

We have,

A pure imaginary number is a number that does not have a real part and can be written in the form of bi, where b is a real number and i is the imaginary unit (√(-1)).

We have,

[tex]3i^5 + i (2 - 4i^3) - 2 (-3 + i)[/tex]

In this expression, we can simplify and rewrite it as:

[tex]3i^5 + i(2 - 4i^3) + 6 - 2i[/tex]

Now, let's evaluate the powers of i:

[tex]i^5 = i^{4 + 1} = i^4 \times i = 1 \times i = i\\i^3 = i^{2 + 1} = i^2 \times i = (-1) \times i = -i[/tex]

Substituting these values back into the expression:

[tex]3i^5 + i(2 - 4i^3) + 6 - 2i = 3i + i(2 - 4(-i)) + 6 - 2i[/tex]

= 3i + i(2 + 4i) + 6 - 2i

= 3i + 2i + 4i² + 6 - 2i

= 3i + 2i + 4(-1) + 6 - 2i

= 5i - 4 + 6 - 2i

= 5i - 2i - 4 + 6

= 3i + 2

The expression 3i + 2 represents a pure imaginary number, as it has no real part (the constant term is 2 and does not involve the imaginary unit i).

Thus,

The expression that represents a purely imaginary number is:

[tex]3i^5 + i (2 - 4i^3) - 2 (-3 + i)[/tex]

Learn more about imaginary numbers here:

https://brainly.com/question/6748860

#SPJ1

his composite figure is made of two identical pyramids attached at their bases. Each pyramid has a height of 2 units. 2 identical pyramids with rectangular bases are connected at their base. The height of the pyramid is 2. The lengths of the sides of the rectangle are 5 and 0.25 units. Which expression represents the volume, in cubic units, of the composite figure? One-half (One-third (5) (0.25) (2) ) One-half (One-third (5) (0.25) (4) ) 2(One-third (5) (0.25) (2) ) 2(One-third (5) (0.25) (4) )

Answers

The expression that will represent the volume of the identical rectangular base pyramid is: 2[One-third (5) (0.25) (2)] cubic units.

How to evaluate the expression for the volume of the identical pyramid

To calculate for the volume of a rectangular base pyramid, we use the formula:

volume = 1/3 × area of base rectangle × height

volume of one identical pyramid = (1/3 × 5 × 0.5 × 2)cubic units

volume of the two identical pyramid = 2(1/3 × 5 × 0.5 × 2)cubic units.

Therefore, the expression that will represent the volume of the identical rectangular base pyramid is: 2[One-third (5) (0.25) (2)] cubic units.

Read more about volume here:https://brainly.com/question/18994842

#SPJ1

PLS HELP! What is the domain and Rage of the given below?
And is it a Function or not?

X /-2/-2 /-1 /-1 /0
Y/ 5/-5/ 3/-3/-1

Answers

In Functions and Function Notation, we were introduced to the concepts of domain and range. In this section we will practice determining domains and ranges for specific functions. Keep in mind that, in determining domains and ranges, we need to consider what is physically possible or meaningful in real-world examples, such as tickets sales and year in the horror movie example above. We also need to consider what is mathematically permitted. For example, we cannot include any input value that leads us to take an even root of a negative number if the domain and range consist of real numbers. Or in a function expressed as a formula, we cannot include any input value in the domain that would lead us to divide by 0.

Diagram of how a function relates two relations.

We can visualize the domain as a “holding area” that contains “raw materials” for a “function machine” and the range as another “holding area” for the machine’s products.

We can write the domain and range in interval notation, which uses values within brackets to describe a set of numbers. In interval notation, we use a square bracket [ when the set includes the endpoint and a parenthesis ( to indicate that the endpoint is either not included or the interval is unbounded. For example, if a person has $100 to spend, he or she would need to express the interval that is more than 0 and less than or equal to 100 and write

(

0

,

100

]

. We will discuss interval notation in greater detail later.

Let’s turn our attention to finding the domain of a function whose equation is provided. Oftentimes, finding the domain of such functions involves remembering three different forms. First, if the function has no denominator or an even root, consider whether the domain could be all real numbers. Second, if there is a denominator in the function’s equation, exclude values in the domain that force the denominator to be zero. Third, if there is an even root, consider excluding values that would make the radicand negative.

Before we begin, let us review the conventions of interval notation:

The smallest term from the interval is written first.

The largest term in the interval is written second, following a comma.

Parentheses, ( or ), are used to signify that an endpoint is not included, called exclusive.

Brackets, [ or ], are used to indicate that an endpoint is included, called inclusive.

Other Questions
Blue Spruce Corp. purchased 2, 650 shares of its $12 par value common stock for $120, 840 on August 1. It will hold these in the treasury until resold.Journalize the treasury stock transaction. (Credit account titles are automatically indented when amount is entered. Do not indent manually. If no entry is required, select "No Entry" for the account titles and enter 0 for the amounts.)Data account the titles and explanation debit credit chronic myelogenous leukemia is a cancer found in white blood cells. what is the supposed genetic basis of this disease? Given a polynucleotide sequence such as GAATTC, can you tell which is the 5' end? If not, what further information do you need to identify the ends?Chargaff's rule about base ratios states that in DNA, the percentages of A and T are essentially the same, as are those of G and C.You can't tell which end is the 5' end. You need to know which end has a phosphate group on the 5' carbon or which has a -OH group on the 3' carbon.In the cell cycle, DNA synthesis occurs during the S phase, between the G1 and G2 phases of interphase. DNA replication is therefore complete before the mitotic phase begins. Read these sentences that are to be put in order of how they should appear in a paragraph. Use numbers 1 through 4 to order them. MOBILE PHONESA. Because of this, many states prohibit the use of mobile phones while driving. B. Mobile phone use while driving is common but controversial. C. The best alternative is using some sort of hands-free device. D. Being distracted while driving a vehicle has been shown to increase the risk of accidents. Sentence A should be number , Sentence B should be number,Sentence C should be number , and Sentence D should be number the biggest carcinogenic exposure in the workplace is___ if the project is to be shortened by 1-week, which activity will be reduced and how much will the cost be increased? What is the molar mass of an unknown gas with a density of 5.35 g/l at 2.00 atm and 55.0 c? during the period from 1000 to 1300, the rulers in which region held the least power? one major source of data for analytics is: government. index cards. search engine data. newspapers. Your company stops selling an item. You need to remove the item from the list. Which four actions should you perform in sequence? Move the four actions to the answer area and place them in the correct order Actions Actions in order Select Hide Item Click the item you want to hide From the menu select Items> Show List Drag the item of the list From the menu select Lists> Item List Select Make Item Inactive Click the item arrow in the lower left comer of the item List write in your own words a summary about the train to freedom Write a hypothesis about what will happen to the air in the plastic bottle when its temperature is decreased. What relationship do you expect to find between temperature and volume? RE: The Promise and Pitfalls of ExportingNeophyte exporters run into significant problems when first tring to do business abroad. Their common pitfalls include:Group of answer choicesa. Poor understanding of competitive conditions in foreign marketb. poor market analysisc. All of the aboved. a lack of an effective distribution programe. failure to customize the product offering to customers' needs for technical skills in most high school sports, it is best to practice only the whole skill and not its separate parts find a conformal map of the horizontal strip {-a < 1m z < a} onto the right half-plane {rew > o}. hint. recall the discussion of the exponential function, or refer to the preceding problem. Consider the uninoculated lysine decarboxylase tube.A.Is the uninoculated tube a positive or a negative control?B. what information does the uninoculated tube provided ? delinquency petitions are forwarded to a state or county prosecutor. a sinusoidal electromagnetic wave has rms electric field 800 n/c. what is the intensity of the wave? (c = 3.00 108 m/s, 0 = 4 10-7 t m/a, 0 = 8.85 10-12 c2/n m2) When a bank has an input file of FICO scores and uses machine learning to help predict credit losses for each customer, they are likely using which type of learning?Group of answer choicesReinforcement Learning.Unsupervised Learning.Supervised Learning.Matrix Learning. According to the class overheads and basic ethics, which one of the following assertions about insider trading, which is against the law, is true?A. Insider trading is legal and should be considered as a potential approach to investingB. Insider trading is legal and should not be considered as a potential approach to investingC. Insider trading is illegal and should be considered as a potential approach to investingD. Insider trading is illegal and should not be considered as a potential approach to investing