Find the area of the triangle below:

The area under the curve shaded is -1 to 2 is 13.59%.

The z score is a measure used in statistic to determine by how much standard deviations the raw score is above or below the mean.

If the raw score is greater than the mean then the z score is positive but if the raw score is less than the mean then the z score is negative.

The formula of z score

[tex]Z=\frac{x-\mu}{\sigma}[/tex]

[tex]\mu=mean[/tex]

[tex]\sigma=standard deviation[/tex]

x=raw score

From the normal distribution table,

Area between z = -2 and z =-1  is given by

P(-2 < z < -1) implies that  P(z < -2) - P(z < -1) that is

 P(z < -2) - P(z < -1) = 0.1587 - 0.0228

P(z < -2) - P(z < -1) = 0.1359

P(z < -2) - P(z < -1) = 13.59%

Therefore we get the area under the curve shaded is -1 to 2 is 13.59%.

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Answer:

the 4th table and the last one

Step-by-step explanation:

For Samantha, 2 tick marks east is 120 units east because 1 tick is 60 units.

For Ryu, 8 tick marks west is 480 units west because 1 tick is 60 units.

They are walking to form a line. Just add their distances from 0.

120 + 480 = 600.

--------------------------0----------------------------

Ryu: 480                         Samantha: 120

         480              +             120           =    600.

600 units, or feet.

Answer:

x=20

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

2/5x + 4 = 1/5x + 8

(subtract 1/5x from both sides)

1/5x + 4 = 8

(subtract 4 from sides)

1/5x = 4

(multiply by 5 from both sides of the equation to isolate x)

x = 20

Answer:

Option C: Copying an angle

Step-by-step explanation:

Angle bisector is a line through an angle that will split that angle to 2 equal angles. Thus, option A is wrong as no angle is being split.

Copying an angle involves reproducing a particular angle in another construction. The image shows us that there is an attempt to reproduce the perpendicular angle of 90°. Thus, option B is correct.

Copying a line segment involves creating the exact size of line in another construction. The image doesn't depict that. Thus option C is wrong.

Perpendicular bisector is when we draw a perpendicular line through a horizontal one to divide it into 2 equal parts. This is not the case here. Thus, option D is wrong.

Answer:

[tex]\cot(\theta)=\sqrt{2}[/tex]

[tex]\implies \dfrac{1}{\tan(\theta)}=\sqrt{2}[/tex]

[tex]\implies \tan(\theta)=\dfrac{1}{\sqrt{2}}[/tex]

[tex]\implies \theta=35.26438968...\textdegree \pm180\textdegree n[/tex]

[tex]\implies \theta=215.26438968...\textdegree[/tex]

⇒ Opposite side to angle = 1,  Adjacent side to angle = √2

⇒ Hypotenuse = √(1² + √2²) = √3

[tex]\implies \cos(\theta)=\dfrac{A}{H}=-\dfrac{\sqrt{2}}{\sqrt{3}}=-\dfrac{\sqrt{6}}{3}[/tex]

[tex]\implies \sin(\theta)=\dfrac{O}{H}=-\dfrac{1}{\sqrt{3} }=-\dfrac{\sqrt{3}}{3 }[/tex]

[tex]\implies \tan(\theta)=\dfrac{O}{A}=\dfrac{1}{\sqrt{2}} = \dfrac{\sqrt{2}}{2}[/tex]

Answer: Yes

Step-by-step explanation: The sum of the length of the 2 smaller side must be greater than the biggest side (hypotneus) So yes, 9+2=11 which is greater than 10.

Answer: • 68.76

• 34.92

Step-by-step explanation:

edmentum answer

Answer:

x= -3

Step-by-step explanation:

I do not have one sorry,

Given that the points on triangle XYZ are, (-2, 12), (6, 4), (-6, -4), and the scale factor and center of dilation are 3/4, and (-2, 8), the coordinates of triangle X'Y'Z' are;

The coordinates of the vertices of the triangle are;

X(-2, 12), Y(6, 4), Z(-6, -4)

The center of dilation = (-2, 8)

The scale factor of the dilation = 3/4

The coordinates of the required image following the dilation are;

(-2 + (3/4) × ((-2 - (-2)), 8 + (3/4) × (12 - 8))

The coordinates of X' = (-2, 11)

The coordinates of Y' are found as follows; (-2 + (3/4) × ((6 - (-2)), 8 + (3/4) × (4 - 8))

The coordinates of Y' = (4, 5)

The coordinates of Z' are found as follows; (-2 + (3/4) × ((-6 - (-2)), 8 + (3/4) × (-4 - 8))

The coordinates of Z' = (-5, -1)

The coordinates of the vertices of the triangle XYZ following a dilation by a scale factor of (3/4) are;

Learn more about dilation transformation here:

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Answer:

E, 3/2

Step-by-step explanation:

First, say that the numerator is 2^2001 * 3^2001 * 3^2, so that the powers will align. Then, we can combine 2^2001 and 3^2001 for 6^2001. If we ignore the 3^2, we get 6^2001/6^2002, which simplifies to 1/6. If we multiply 9 (which is 3^2) to 1/6, we get 9/6=3/2. This is a pretty tough question. Hopefully this helps!

Answer:

Step-by-step explanation:

Find the slope of the line between (5,5)and (1,0) using m=(y2-y1)/(x2-x1)

which is the change of y over the change of x.

m=5/4

Use the slope 5/4 and a given point (5,5) to substitute for x1 and y1 in the point-slope form y−y1=m(x−x1), which is derived from the slope equation m=(y2-y1)/(x2-x1)

y-5=5/4*(x-5)

Simplify the equation and keep it in point-slope form y-5=5/4*(x-5)

Solve for y.

y=5x/4-5/4

Reorder terms.

y=5/4 x-5/4

List the equation in different forms.

Slope-intercept form: y=5/4 x-5/4

Point-slope form: y-5=5/4*(x-5)

Given:

The sequence is 29, 22,​ 15, 8,​ 1, ...

To find:

The common difference.

Solution:

We have,

29, 22,​ 15, 8,​ 1, ...

It is an AP.

First term : [tex]a_1=29[/tex]

Second term : [tex]a_2=22[/tex]

Now,

Common difference : [tex]d=a_2-a_1[/tex]

[tex]d=22-29[/tex]

[tex]d=-7[/tex]

Therefore, the correct common difference is -7.

Note: Here calculation by student is not given, so we cannot find the error of the student.

Answer:

1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1=25

Step-by-step explanation:

mafs

19+6

(19+1)+(6-1)    adding 1 to 1 number and subtracting 1 from the other

20+5             simplifying

25                 now it's just adding 20 + 0 + 5 = 25

This problem is a little abstract, but I hope it helped. Happy mathing!

Step-by-step explanation:

plug in the values of x in the function

1. 58

2. 90

3. 148

4. 180

Answer:

8 and 4 is the answer!

Answer:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. A dilation that creates a larger image is called an enlargement. A dilation that creates a smaller image is called a reduction. A dilation stretches or shrinks the original figure.

Answer:

5 and a half hours

Step-by-step explanation:

347.5-100=247.5

247.5/45=5.5

Answer:

Kaya rented the limo for about 5 and a half hours

                             Hope this helps! good luck :)

Answer:

108r4

Step-by-step explanation:

91+16 yea go install senebratic

Answer:

It has been answered and I need some point so I hope you don't mind lol

Step-by-step explanation:

Answer:

are congruent

Step-by-step explanation:

If two polygons are congruent, then they have the same area.

Two polygons are congruent if their corresponding sides and angles are congruent. Note: Two sides are congruent if they have the same length and angles are congruent if they have the same measure. We indicate that angles are congruent by putting the same number of slash marks through each angle.

Answer:

PLz give brainliest

Step-by-step explanation:

Y=60

x=33

Answer:

Step-by-step explanation:

As per given

So combined probability is:

Answer:

18

Step-by-step explanation:

perimeter = sum of the lengths of the sides

perimeter = 5 m + 5 m + 2 m + 5 m + 1 m

perimeter = 18 m

Answer:

6 stuffed animals

Step-by-step explanation:

if 1/4= 1 then 1x6= 1 1/2

Answer: The answer is: 6

Step-by-step explanation: I have my ways ;>

Have a nice day!

-Sunny

Answer:

For class A, the test scores were closer togther so that means more students most likely scored the smae score mutiple times. I think this because the box on the box plot is not spread out like class B.

For class B, the scores varied more so the box plot has to be spread out over more values. Because of the box plot, we can see that Class B had the highest test score compared to class A.

Have an amazing day!!

Please rate and mark brainliest!!

Hey there!

[tex]\fbox{2x²+16x-7}[/tex]

[tex]\fbox{2(x + 4)² - 39}[/tex]

Frank's average speed is the rate of the distance traveled and the time

Frank's average speed is 6.58 miles per hour

The given parameters are:

Distance = 5.3 kilometers

Time = 30 minutes

The average speed is then calculated as:

Average speed = Distance/Time

Substitute known values

Average speed = 5.3km/30 minutes

Convert time to hours

Average speed = 5.3km/0.5 hour

Convert the distance to miles

Average speed = 3.29 miles/0.5 hour

Evaluate the quotient

Average speed = 6.58 miles per hour

Hence, Frank's average speed is 6.58 miles per hour

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Answer:

498

Step-by-step explanation:

We will need to use the Pythagorean Theorem.

A^2 + B^2 = C^2

45^2 + B^2 = 500^2

Subtract 45^2

B^2 = 500^2 - 45^2

Simplify

B^2 = 247,975

Take square root so B is alone

B = 497.9708

Round

B = 498

The circumference of the Ferris wheel is the product of the diameter and [tex]\pi[/tex]

The circumference equation of the Ferris wheel is C =63 * [tex]\pi[/tex]

The circumference of a circle, when the diameter is given is calculated using the following equation

C = [tex]\pi[/tex]d

The diameter of the Ferris wheel is given as:

d = 63 feet.

So, we have;

C = [tex]\pi[/tex] * 63

Rewrite as:

C =63 * [tex]\pi[/tex]

Hence, the circumference equation of the Ferris wheel is C =63 * [tex]\pi[/tex]

Read more about circumference at:

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