Claim: The mean systolic blood pressure of women aged 40-50 in the U.S. is equal to 126 mmHg.Test statistic: z = 1.72
A)0.9146
B)0.0472
C)0.9573
D)0.0854

Answer:

625, 125, 25, 5

Step-by-step explanation:

390625, 78125, 15625, 3125

We need to find out the relationship between a number and the previous number.

We can tell that there is no common difference since 78125 - 390625 cannot possibly equal 3125 - 15625.

We can try to check if this is a geometric sequence.

78125/390625 = 0.2

15626/78125 = 0.2

3125/15625 = 0.2

Each number is 1/5 of the previous number.

3125/5 = 625

625/5 = 125

125/5 = 25

25/5 = 5

Answer: 625, 125, 25, 5

Answer:

4^3

Step-by-step explanation:

4x4 would be squared aka 4^2 but since theres three itd be cubed aka 4^3

(a) We know that 30% of the members of the club are female and 20% of these females own cars, and 30 female members own cars.

We can use this information to calculate the total number of female members in the club.

If 30% of the members are female and 20% of these females own cars,

then 20/100*30 female members = 6% of the total members own cars.

This means that 6% of the total members are female members who own cars.

Therefore, 30 female members / 6% = 500 female members.

So there are 500 female members in the club.

(b) If 30% of the members are female, then the total number of members is (100/30)*500 female members = 1666.67 members

(c) To increase the percentage of female members to 37.5%, we need to calculate the number of additional female members required to reach this goal. The current percentage of female members is 30% and we want to increase it to 37.5%. Therefore, we need an additional 37.5-30 = 7.5%. If the current number of female members is 500, to increase the percentage by 7.5%, we need an additional of 7.5/100*1666.67 = 125 additional female members.

The requried dimension of the original rectangle is given as length = 25 cm, width = 10 cm.

The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.

Let the length and width of the original rectangle be x and y,
According to the quesiton,

The perimeter of a rectangle is 70 cm.
2 [x + y] = 70
x  + y = 35 - - - -(1)

Now,
its length is decreased by 5 cm and its width is increased by 5 cm, its area will increase by 50 cm².
Area of the new rectangle = area of the original rectangle + 50
(x  - 5)(y + 5) = xy + 50

from equation 1,

(x - 5)(35 - x + 5) = x(35 - x) + 50
-x² - 200 + 40x + 5x = 35x - x² + 50
45x - 35x = 50 + 200
10x = 250
x = 25

Now,
y = 35 - 25
y = 10

Thus, the requried dimension of the original rectangle is given as length = 25 cm, width = 10 cm.

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The expression that is equivalent to 2(b+3c) is C.

2(b) + 2(3c).

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

The expression 2(b + 3c) will be:

= 2b + 6c

3(b + 2c) will be:

= 3b + 6c

2(b) + 2(3c) will be:

= 3b + 6c

The correct option is C since they gave same value.

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Answer:

17/20

Step-by-step explanation:

3/5 + 1/4

The common factor is 20, so we have

12/20 + 5/20 = 17/20

We can't simplify 17/20 any further, so the answer is 17/20

Answer: To find point Q on the line segment PR that partitions it into the segments PQ and QR in the ratio 4:5, we need to use the concept of proportion.

We can set up the proportion as:

PQ / QR = 4 / 5

To find the actual point Q on the line segment PR, we need to know the coordinates of points P and R. Without them, it is not possible to find the point Q. Once we have the coordinates of P and R, we can use the proportion above to find the coordinates of Q.

Alternatively, we can use the concept of a "partitioned ratio" which is a way to split a line segment into a certain ratio. It is found by adding the two ratios together and then dividing the length of the line segment by that number. In this case (4+5 =9) and then PQ = (4/9) * PR and QR = (5/9) * PR.

Step-by-step explanation:

The statements that are true about the data in the graph include the following:

B. If 200 students were surveyed, 28 would choose art as their favorite subject.

C. If 400 students were surveyed, 64 would chose social studies as their favorite subject.

In Mathematics, a pie chart can be defined as a type of graph that is used for the graphical representation of the proportion relationship between each part or unit to a whole, especially by dividing a circle into various sectors or sections.

Assuming 200 students were surveyed at 14%, the number of students who would choose art as their favorite subject can be calculated as follows;

Number of students for arts = 14/100 × 200

Number of students for arts = 0.14 × 200

Number of students for arts = 28 students.

Assuming 400 students were surveyed at 16%, the number of students who would choose social studies as their favorite subject can be calculated as follows;

Number of students for social studies = 16/100 × 400

Number of students for social studies = 0.16 × 400

Number of students for social studies = 64 students.

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The equation showing y as a function of x is given as y = -x - 2

An equation is an expression relating two or more numbers and variables.

The standard form of a linear equation is:

Ax + By = C

where A, B and C are constants

The slope - intercept form of a linear equation is:

y = mx + b

Where m is the rate of change(slope) and b is the y intercept.

The graph passes through points (-2, 0) and (0, -2). Hence, the equation is::

y - 0 = [(-2-0)/(0 - (-2)](x - (-2))

y = -1(x + 2)

y = -x - 2

a) When the input is -3, that is x = -3:

y = -(-3) - 2 = 1

The output is 1 when the input is -3

b) When the output is 2, that is y = 2:

2 = -x - 2

-x = 4

x = -4

The input is -4 when the output is 2

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Answer:

there some rules

Step-by-step explanation:

Answer:

the third one

Step-by-step explanation:

it only passes once

Answer:

B

I am sorry if this is wrong

Answer:

10^2

Step-by-step explanation:

I hope this helps you

Answer: 20

Step-by-step explanation: i did this before on a quiz

Answer:

20

Step-by-step explanation:

online calcs can help with this

Answer:it is 900 because that’s a number that is irrational

Step-by-step explanation:

No, these measurements do not form a triangle. The sum of any two sides of a triangle must be greater than the third side. In this case, 7 cm + 8 cm = 15 cm, which is not greater than the third side, 9 cm.

A triangle is a three-sided polygon, and all three sides must meet certain criteria in order to form a triangle. Specifically, the sum of any two sides must be greater than the third side. In this case, the given measurements are 7 cm, 8 cm, and 9 cm. When adding the 7 cm and 8 cm together, the sum is 15 cm, which is not greater than the third side, 9 cm. Therefore, these measurements do not form a triangle. To determine if a triangle can be formed with any given measurements, one must sum any two sides and ensure that the sum is greater than the third side. If the sum is not greater than the third side, then the measurements do not form a triangle.

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the 1srt one

Step-by-step explanation:

The equation showing the relation between shorter and longer skirt is 3s+4t = 140.

Given that the Scottish dance team used 140 yards of tartan to make dancing skirts.

The skirt pattern for the shorter members is 3- yards of fabric, and the skirt pattern for the taller members is 4 yards of fabric.

So, we need to find the equation represents the relationship between the number of short skirts and the number of long skirts that were made,

So, if there are s short skirts and t long skirts,

So,

The relation will be =

3s + 4t = 140

Hence the equation showing the relation between shorter and longer skirt is 3s+4t = 140.

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Answer:

7.07 units

Step-by-step explanation:

The solution to the trigonometric equation is x = ( 3π/4 ) , x = ( 7π/4 )

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin (-θ) = -sin (θ)

csc (-θ) = -csc (θ)

cos (-θ) = cos (θ)

sec (-θ) = sec (θ)

tan (-θ) = -tan (θ)

cot (-θ) = -cot (θ)

In the first quadrant, sin, cos and tan are all positive.

In the second quadrant going anti-clockwise, only sin is positive.

In the third quadrant going anti-clockwise, only tan is positive.

In the fourth quadrant going anti-clockwise, only cos is positive

Given data ,

Let the trigonometric equation be represented as A

Now , the value of A is

cot ( x - π/2 ) = 1   be equation (1)

On simplifying the equation , we get

cot ( - ( π/2 - x ) ) = 1

Now , cot (-θ) = -cot (θ)

So , - cot ( π/2 - x ) = 1

And , the value of cot ( π/2 - θ ) = tan θ

Substituting the values in the equation , we get

-tan x = 1 over the interval [ 0 , 2π ]

The value of x for -tan x = 1 is given by x = ( 3π/4 ) + nπ

when n = 1

x = ( 7π/4 )

So , the values of x are ( 3π/4 ) and ( 7π/4 )

Hence , the solutions are ( 3π/4 ) and ( 7π/4 )

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The time it takes Timothy to drive to his friend's house does not proportional to the distance. Because all ordered pairs do not pass through a straight line.

What is the ordered pair?

An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), with two values, expressed between parenthesis in a predetermined order. It aids visual comprehension by locating a point on the Cartesian plane. An ordered pair's numeric values can be integers or fractions.

Given ordered pairs are (5,10), (11,15), and (18,20).

The ordered pairs are plotted on the graph.

A line can not draw through the ordered pairs.

Thus, time is not proportional to distance.

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The graph of the reflected function: g(x) = 3^(-x) can be seen in the image at the end.

First, for any function y = f(x), a reflection across the y-axis is written as:

g(x) = f(-x)

So we only change the sign of the argument of the function.

The graphed function is the parent function:

f(x) = 3^x

A reflection across the y-axis, will give the new function:

g(x) = f(x) = 3^(-x)

The graph of this will be like the graph of f(x) but reflected across the y-axis, like the graph below.

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The required values of u = 21° and v = 2 units in the given triangle.

A triangle is a closed shape composed of three angles, three sides, and three vertices. It is one of the most fundamental geometric forms and is represented by the symbol Δ.

The triangle is given in the shown figure, as follows:

We have to determine the value of u and v

In ΔHGF,

∠G = 67°

∠F = 92°

As we know that the sum of interior angles is always 180 degrees in the triangles.

So, ∠u + ∠G + ∠F = 180°

u +  67° + 92° = 180°

u + 159° = 180°

u = 21°

We can see that the bisector HF divides into equal parts EF and FG.

So, EF = FG

This means v = 2

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Answer:

x<4

Step-by-step explanation:

To solve and make the problem less intimidating, it is easier to just imagine that the < is a = sign. The only difference when solving a inequality versus an equation is that you flip the inequality sign when multiplying or dividing by a negative, which we won't need to worry about in this problem. Now, hopefully, this will make more sense when we are solving.

The first step is to add 20 to both sides:

15x - 20 < 40 (Add 20 to both sides)

15x < 60

Now, divide both sides by 15, so we are juts left with x:

15x < 60 (Divide both sides by 15)

x < 4

So, the inequality is true for any x value that is less than 4, or x<4.

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The required inequality is x ≤ 5.09, where x is the number of outfits. Rashon can buy at most 5 outfits while staying within his budget.

To determine the number of biking outfits Rashon can buy while staying within his budget, you can set up an inequality using the information provided.

First, calculate the total cost of the reflectors and gloves:

3 reflectors × $10.78 + $32.64 = $38.34 + $32.64 = $71

Then, subtract the cost of the bicycle, reflectors, and gloves from Rashon's budget: $780 - $481.28 - $71 = $227.72

Now, you can use this remaining amount to determine the number of biking outfits Rashon can buy.

Let x be the number of outfits he can buy

You can set up an inequality as follows:

44.95x ≤ $227.72

Dividing both sides by 44.95:

x ≤ 5.09

However, since the number of outfits is an integer, he can only buy 5 outfits at most.

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The probability that a student studied for exactly 1 hour is 0.23.

Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It deals with the numerical estimates of the chance that an event will occur.

In this case the group of students was surveyed in a middle school class and they were asked how many hours they work on math homework each week.

The probability that a student studied for exactly 1 hour will be:

Number of students that studied for 1 hour / Total number of students

= 8 / 35

= 0.23

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At 2.5 seconds the ball reach its maximum height.

And, Its maximum height will be 25 feet.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation that describes the height (h) of a ball that is thrown straight up as a function of the (t) that the ball has been in the air is,

⇒ h = 40t - 16t²

So, For the time does the ball reach its maximum height, we can put h = 0, so we get;

⇒ h = 40t - 16t²

⇒ 40t - 16t² = 0

⇒ 16t² - 40t = 0

⇒ t (16t - 40) = 0

⇒ 16t - 40 = 0

⇒ 16t = 40

⇒ t = 40/16

⇒ t = 2.5 seconds

Now, The height function is a quadratic function which has the zeroes at  t = 0 and t = 2.5.

So, It has the maximum at x = midpoint between the roots 0 and 2.5, i.e. 1.25 seconds.

Hence, Substitute this value t = 1.25 seconds into the given height function, we get;

⇒ h = 40t - 16t²

⇒ h = 40 × 1.25 - 16 (1.25)²

⇒ h = 50 - 25

⇒ h = 25 feet

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Answer: A C A B

Step-by-step explanation:

Answer: is A

Step-by-step explanation: