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Using the normal distribution, it is found that 0.13% of American women CAN NOT use the bicycles designed by this company.

The z-score of a measure X of a normally distributed variable with mean  and standard deviation  is given by:

[tex]z=\dfrac{x-\mu}{\sigma}[/tex]

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 65\ \ \sigma= 3.5[/tex]

The proportion of women that cannot use the bikes(smaller than 54.5 inches) is the p-value of Z when X = 54.5, hence:

[tex]z=\dfrac{x-\mu}{\sigma}[/tex]

[tex]z = \dfrac{54.5-65}{3.5}[/tex]

Z = -3

Z = -3 has a p-value of 0.0013.

0.0013 = 0.13% of American women CAN NOT use the bicycles designed by this company.

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The size of the scalene triangle would be larger or smaller

Answer: undefined

Step-by-step explanation:

The slope of a vertical line is undefined because there is no rise/run and the slope formula would give you something over 0, which is undefined

Answer:

undefined

Step-by-step explanation:

the slope of the line graphed (a vertical line) is undefined.

No matter how large we set out slope, we will never reach a vertical slope. As we approach infinity, we will get closer, and closer, but we can never fully have a slope of a vertical line.

A slope of 1 means that we move up 1, over 1. A slope of 2 means that we move up 2, over 1. Even if we move up 5000, we still move over at least slightly (with a slope).

It is undefined because it does not run horizontally.

The equation for the scatter plot will be,y=3x+15. Scatter plots are essential for determining relationships, if any, between the values of observable quantities or occurrences.

A set of dots plotted on a horizontal and vertical axis is known as a scatter plot. Because they may demonstrate the degree of connection,

if any, between the values of observed quantities or events, scatter plots are crucial in statistics.

The equation of the trend line for the scatterplot below will be y=3x+15.

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Answer:

200

Step-by-step explanation:

20% is one fifth and therefore 40 is also 1/5 of the number. I then do 40 times 5 to get 200

Answer:

200

Step-by-step explanation:

40 is 20% of 200 because 40/.20=200
20% of 200 is 40 because 200x0.20

it would help to set up proportions like:

40    20

/    =  

x      100

and cross multiply and divide.

Answer: 49π or 153.86

Explanation: To find the R, do 14 divide by 2 because since you're not multiplying pi with it. The circumference formula is 2πr
14 / 2 = 7
7 = Radius

Area of a circle is : πr^2
π(7^2)
π49
----------
π49
153.86

The explicit formula of the function d(n) is [tex]d(n) = 2.7 * 6.1^{n-1[/tex]

The function is given as:

d(1) = 2.7

d(n) = d(n-1) x (6.1)

The above means that the function is an exponential function, and it has the following parameters:

First term, d(1) = 2.7

Common ratio, r = 6.1

The explicit formula of an exponential function is:

[tex]d(n) = d(1) * r^{n-1[/tex]

So, we have

[tex]d(n) = 2.7 * 6.1^{n-1[/tex]

Hence, the explicit formula of d(n) is [tex]d(n) = 2.7 * 6.1^{n-1[/tex]

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Answer:

f(-2) = 14

Step-by-step explanation:

put -2 where x is

f(x) = 3x²-x

f(-2) = 3(-2)²-(-2)

f(-2) = 3(4)+2

f(-2) = 12+2

f(-2) = 14

Answer:

26

Step-by-step explanation:

Angles that form a linear pair are supplementary, and thus have measures that add to 180 degrees.

4x+3+2x+21=180

6x+24=180

6x=156

x=26

Answer:

Step-by-step explanation:

Given

log_3x = 3/2   can be rewritten as

3^1.5 = x

You calculator will give you the simplest answer to this. Look around for a key that looks like ^ or y^x or x^y.

Then you put the base (3) into your calculator and press your y^x key and put in 1.5

Answer:

x = 5.1962

The rocket's height when the distance between you and the rocket is 100 feet is 98.9 feet

The function is given as:

d = √216 +h²

At a distance of 100 feet, it means that:

d = 100

So, we have:

√216 +h² = 100

Take the square of both sides

216 +h² = 10000

Subtract 216 from both sides

h²= 9784

Take the square root of both sides

h = 98.9

Hence, the rocket's height when the distance between you and the rocket is 100 feet is 98.9 feet

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The turtle that would most likely win the race is the turtle 7

The turtles are given as:

Turtle = 1 to 13

When two dice are rolled and the sum of the outcomes are taken, the sample space is:

Outcome   Frequency

2                    1

3                    2

4                    3

5                   4

6                   5

7                    6

8                    5

9                    4

10                   3

11                    2

12                    1

The outcome 7 has the highest frequency of 6

This means that the turtle 7 has the highest chance of winning the race

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Answer: Sally has 16 friends

Step-by-step explanation:

she has 40 balls

subtract by how many she gave away

40-8=32

she gave 2 to each friend

divide the balls left by 2

32/2=16

Sally has 16 friends

Answer:

C and H

Explanation:

All others are not the same shape, they tend to be pointing in different directions.

Answer:

a c h g f

Step-by-step explanation:

The total amount of money spent by Keesha to buy grapes and bananas is equal to $6.38.

Based on the value of the bills and coins which represent the cost of each item, we would determine the total amount of money spent by Keesha to buy grapes and bananas.

For the grapes, we have:

Cost of grapes = 5 + (1 × 0.25) + (2 × 0.1) + 0.05

Cost of grapes = 5 + 0.25 + 0.2 + 0.05

Cost of grapes = $5.5.

For the bananas, we have:

Cost of bananas = (3 × 0.25) + 0.1 + (3 × 0.01)

Cost of bananas = 0.75 + 0.1 + 0.03

Cost of bananas = $0.88.

Total cost = 5.5 + 0.88

Total cost = $6.38.

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Answer:

slope: -3

y-intercept: -2

equation: -3x-2

y intercept is the value of y at x=0

slope is how many units the graph moves per x

equation is (slope)x+(y-intercept)

The bearing of point A from point B is 223°.

We have given that,

The bearing of point B from point A is 043°.

We have to determine the bearing angle,

Suppose that we have the angle BAD=43 degrees.

So angle CBA=43 degrees.

A bearing is an angle in degrees measured clockwise from north. Bearings are usually given as a three-figure bearing.

For example, 30° clockwise from the north is usually written as 030°.

Angle EBA= 180+∠CBA

=180°+43°

=223°

Therefore the bearing of point A from point B is 223°.

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Answer:

x = - 3

Step-by-step explanation:

using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (x, 4 ) and (x₂, y₂ ) = (- 3, 8 )

m = [tex]\frac{8-4}{-3-x}[/tex]

since m is undefined, then the denominator must be zero, since division by zero is undefined , then equating the denominator to zero

- 3 - x = 0 ( add 3 to both sides )

- x = 3 ( multiply both sides by - 1 )

x = - 3

The name of the Platonic Solid shown below is a Hexahedron. Option D is correct.

A polyhedron with an identical number of faces meeting at each vertex as well as all congruent uniform polygonal faces is referred to as a platonic solid.

In the image attached, the polyhedron has 6 faces with 3 squares in each vertex. Therefore, we can conclude that the platonic solid is a hexahedron.

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Answer:

The answer is C

Step-by-step explanation:

Irregular polygons are polygons with unequal sides and angles.

The measures of the x is 6.

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

Given : one angle= 6x-6 and another angle = 54

Using angle sum property, we have

6x-6 + 54 + 90 = 180

6x=180-144

6c= 36

x=36/6

x=6

Thus, value of x is 6.

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Answer:

C

Step-by-step explanation:

Answer:

9 hr * 60 min/hr = 540 min. 540 min * 60 sec/min = 32,400 sec. Use the method described by panic mode: round the number down until there is only one non-zero digit left. Here, 32,400 rounds down to 30,000. Now count the number of zeroes; the result is the order of magnitude: 4. (You see this in scientific notation also: 30,000 = 3 × 10^4.)

Answer:

The standard form of the number will be written as 63 158

The correct answer is option A. Which is the solution of the given equation will be (15,15).

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

Given equations are solved as:-

a - 1.2b = -3 or a = -3 + 1.2b

0.2a + 0.6b = 12

Put the value of a from equation 1 to the equation second.

0.2 ( -3 + 1.2 b)  + 0.6b = 12

-0.6 + 0.24b + 0.6b = 12

0.84b = 12  + 0.6

0.84 b = 12.06

b  = 15

Put the value of b in the first equation to find the value of a.

a = 1.2b - 3

a = (1.2 x 15) - 3

a = 15

Therefore the correct answer is option A. Which is the solution of the given equation will be (15,15).

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Answer:

(x-4)(x-4)

Step-by-step explanation:

Because the factors of 16 that add up to -8 can be -4 and -4.
Let's plug it in...
16 - 32 + 16 = 0

It works!!!

ANswer is (x-4)(x-4)

Answer: (x-1)(x+4)

the answer

Answer:

   [tex]7\frac{1}{6}[/tex]

Step-by-step explanation:

→ Convert all fractions to improper fractions

[tex]\frac{27}{6} +\frac{8}{3}[/tex]

→ Make both of the numerators the same

[tex]\frac{27}{6} +\frac{16}{6}[/tex]

→ Add

[tex]\frac{43}{6}[/tex]

→ Convert to mixed fraction

   [tex]7\frac{1}{6}[/tex]