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The approximately 99.7% of the students have commute distances between 13.9 miles and 24.1 miles, the area within two standard deviation is 95%

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

a) We have:

mean u = 19.0 miles,

[tex]\rm \sigma = 5.1 \ miles[/tex]

According to the empirical rule, the area between [tex]\mu - \sigma[/tex] and [tex]\mu + \sigma[/tex] is 99.7%

[tex]\mu - \sigma = 19- 5.1 = 13.9[/tex]

[tex]\mu + \sigma = 19+5.1 = 24.1[/tex]

b) = P(8.8 < X < 29.2)

[tex]\rm P(\dfrac{8.8-\mu}{\sigma } < \dfrac{X-\mu}\sigma < \dfrac{29.2-\mu}{\sigma})[/tex]

[tex]\rm P(\dfrac{8.8-19}{5.1} < Z < \dfrac{29.2-19}{5.1})[/tex]

P(-2 < Z < 2)

Thus, the approximately 99.7% of the students have commute distances between 13.9 miles and 24.1 miles, the area within two standard deviation is 95%

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Answer:

1017.36 m²

Step-by-step explanation:

Info:

Diameter: 36m

π: 3.14

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If the formula for area of circle is: A = πr², and the radius is 18 (half of 36)

Then to find the area, we just multiply π with 18².

18 x 18 = 324.

324 x 3.14 = 1017.36

The area of the circle is 1017.36 m²

Hi Student!

The first step to most problems is to determine the important information that is provided in the given problem statement.  In this problem we can see that we are given a diameter of a circle which is 36 meters.  Another important thing that we can determine is that the question is asking for us to find the area of the circle using 3.14 for π.

Now that we have collected our important information we can move onto the next step which isn't to find the area yet.  First, we need to determine what the radius of our circle is.

Determine the radius

Now, we can finally plug in our values into the area of a circle equation and solve.  The only thing that we need to find the area is the radius which we determined from the previous step.

Plug in the values

Expand the exponent

Multiply the final two numbers

Therefore, the area of a circle with a diameter of 36 meters is 1017.36 meters squared.

Answer:

D. 4x2^99

Step-by-step explanation:

This question is a geometric progression question.

Answer:

[tex]\boxed{\bf x \geqslant 6}[/tex]

Step-by-step explanation:

Given:- g(x)=√(x - 4) and h(x) = 2x - 8

Find:- What're the restrictions on the domain of g•h.

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Answer:

The missing coordinate t is equal to -10.

General Formulas and Concepts:
Algebra I

Coordinate Graph

Functions

Step-by-step explanation:

Step 1: Define

Identify given.

[tex]\displaystyley = -x \\\text{Point } (10, t)[/tex]

Step 2: Find t

∴ we have found the missing t coordinate (y-coordinate) to be equal to -10.

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Topic: Algebra I

Answer:

It's b

Step-by-step explanation:

Step-by-step explanation:

11.

-165 + 3217 + 65

what I see right away is the equality of the 2 digit positions between -165 and +65. I can immediately combine them to -100.

and then the rest is easy : 3217 - 100 = 3117.

173 + (-43) + (-97)

I see that -43 and -97 combine nicely too: I can take the -3 of -43 and add this to -97, which gives me -100, while it leaves -40 on the former -43 side. it is now easy to combine these to -140.

and 173 - 140 is again easy to calculate : 33

Answer:-13

Step-by-step explanation:-2+3(1-4)-2

-2+3×-3-2

-2-9-2

-11-2

-13(hope this helps also if u want can u make thithis the brainliest?:))

Step-by-step explanation:

Initial expression = 80 + 78 + (-97) + 12

final expression = 170-97 ==> $73

Work Shown:

4(10b-4)

4*10b - 4*4

40b - 16

I multiplied the outer term 4 by each term inside. Refer to the distribution property (aka distributive property).

Answer:

40b - 16

Step-by-step explanation:

4 (10b - 4)

= (4*10b) - (4*4) [distributive property]

= 40b - 16

Hope it helps ⚜

Answer:

Perimeter is about 12.95 /// Area = 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

(a) 30/100*30/100= 9/100 = 9%

Answer:

y = x - 8

Step-by-step explanation:

I plugged iin for the values and checks out.

Hope this helps!

904.78 [tex]yards^{3}[/tex]

The shape above is a sphere, the 3-D version of a circle.

Formula

The formula for the volume of a sphere is [tex]V=\frac{4}{3}\pi r^{3}[/tex], where V is the volume and r is the radius. Remember when using pi to use the pi button on the calculator to be precise.

Radius

The image above gives us the diameter. It shows the distance across the entire sphere is 12 yards. However, we need the diameter. Radius is equal to half of the diameter. So, the radius equals 6 yards.

Solving for V

Now that we have the information we need, we can plug in the values and solve.

First, rewrite the equation.

Next, apply the exponents.

Then, multiply out the terms.

This means that the volume of the sphere is 904.78 yards cubed.

The pair of angles that must be supplementary, in the diagram given is: ∠2 and ∠5.

Supplementary angles are two angles whose sum equals to 180 degrees.

m∠2 + m∠5 = 180° (each equals 90°)

Therefore, the pair of angles, ∠2 and ∠5 are supplementary angles in the diagram given because their sum equals 180 degrees.

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Answer:

here is the exact value of x=16

Answer:3x^3-4x^2+7x-12+10/x+2

Step-by-step explanation:

Answer:

x1 ~ -1.8
x2 ~  1.30

Step-by-step explanation:

[tex]\frac{x(x(x+1)(3x-1)+2)-14}{x+2}[/tex]

Step-by-step explanation:

when changing from mixed number to improper u multiply the denominator but the whole number then add the numerator

hope that helps

Answer:

The Answer IS 32 Employees

Step-by-step explanation:

No of cars produced in an Hour = 12 Cars

No or cars produced in a day by one employee = 12*6 = 72

No of employees needed = 2234 / 72 = 31.02

                                                               = 32 Employees

(Note that the 0.02 petcent notes for some cars so we need another employee)

Mark Brainliest PWEESE

Step-by-step explanation:

8 can be written as 2(4)

16 can be written as 2(8)

32 can be written as 2(16)

Answer:

Can be any number but for example: (2,4,8)

Step-by-step explanation:

Given a natural number is any whle number

ex. 1,2,3,4,5,etc

Therefore, any number can be placed in the equation 2m and it will remian a natural number

Answer:

-6(x-1)^2+9

Step-by-step explanation:

This function is in vertex form, or a(x-h)^2+k. In this equation, h is the horizontal translation, where positive h is right and negative h is left. To translate this function 6 units left, you can subtract 6 from the current h.

6 units left means change in x axis

x is shifted 6 units leftwards

Hence new translation

Answer:

Half

Step-by-step explanation:

by dividing in half, it shows both sides are equal/symmetric

hope this helps:)

Answer:

[tex]\huge\boxed{\textbf{Two\ identical\ halves}}[/tex]

Step-by-step explanation:

Symmetry:

Line of symmetry:

[tex]\rule[225]{225}{2}[/tex]

[tex]~~~~~(6x+4) +44 = 90\\\\\implies 6 x+ 48=90\\\\\implies 6x = 90-48\\\\\implies 6x = 42\\\\\implies x= \dfrac{42}6\\\\\implies x = 7[/tex]

The cost of the brush is $2.25, the cost of the sketchbook is $13.50, and the cost of the paint set is $18.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the brush cost is $B, the sketchbook cost is $S, and the paint set cost is $P.

From the problem, we can draw three linear equations in three variables:

The brush was 1/6 as much as the sketchbook:

B = (1/6)S or

6B - S = 0 ...(1)

The sketchbook cost 3/4 the cost of the paint set

S = (3/4)P  or

4S - 3P = 0  ...(2)

The total cost would be:

B+S+P = 35.75 - 2

B+S+P = 33.75  ...(3)

After solving equations (1), (2), and (3) we will get the cost of each item:

B = $2.25

S = $13.50

P = $18

Thus, the cost of the brush is $2.25, the cost of the sketchbook is $13.50, and the cost of the paint set is $18.

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Answer:

  (c)  y > 2/3x + 3

Step-by-step explanation:

Shading to the left of a line with positive slope is the same as shading above that line. That, and the fact that the line is dashed, means the inequality will be of the form ...

  y > ( ) . . . . . . the solution set is y-values greater than those on the line

__

There are two choices in this form. You can see which one will include the point (-3, 1) on the boundary line:

y > 3/2x +3

  y > (3/2)(-3) +3 = -3/2 . . . . . not 1. This is not the correct inequality

y > 2/3x +3

  y > (2/3)(-3) +3 = 1 . . . . . . . the inequality we're looking for

Answer:

its C (on edge 2021)

y > 2/3x + 3Step-by-step explanation:

i took the test

Answer:

My best Gues is x=0 and x=6

Step-by-step explanation:

Because The zeroes of a function is where the line is equal to fx=0 which means it is where the line intercepts with the x axis. And the the line is on the x- axis touching 0 and it isn’t touching any negative number so it would have to be positive and would be 6.

zeros are the x inetercepts

Here the x intercepts are

Hence

So

zeros are