Rectangle DEFG was dilated
to form D'E'F'G. Point G(-2,0)
was dilated to G'(-8,0).

Answer:

0.0918 = 9.18% probability that a randomly selected male has a height > 180 cm.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 170cm and standard deviation of 7.5 cm.

This means that [tex]\mu = 170, \sigma = 7.5[/tex]

Find the probability that a randomly selected male has a height > 180 cm.

This is 1 subtracted by the pvalue of Z when X = 180. So

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

[tex]Z = \frac{180 - 170}{7.5}[/tex]

[tex]Z = 1.33[/tex]

[tex]Z = 1.33[/tex] has a pvalue of 0.9082

1 - 0.9082 = 0.0918

0.0918 = 9.18% probability that a randomly selected male has a height > 180 cm.

Answer:

ereee

Step-by-step explanation:

Answer:

c.

g(x)=-3/x

Step-by-step explanation:

Answer:

t = 4 seconds

Step-by-step explanation:

Given that,

The height of the tennis ball above the ground can be found using the function y = -12.5x + 50

where x is the time in seconds the tennis ball has been in the air.

We need to find how many seconds did it take the tennis ball to reach the ground.

When it reaches the ground, y = 0

So,

-12.5x + 50 = 0

12.5x = 50

x = 4 seconds

So, it will take 4 seconds for the ball to reach the ground.

Answer:

about $12

Step-by-step explanation:

59.61(0.20)=11.922

11.922 rounded up is 12.

ur total bill would be $71.61

Answer:

0,0215

Step-by-step explanation:

Exact answer: 165.5754

Rounded to the nearest dollar: 166

Given:

A figure of a circle. [tex]KJ=6,KL=x-2,ML=4[/tex].

To find:

The length of KJ.

Solution:

From the given figure it is clear that the number 6 is marked between K and J it means the number 6 represents the distance between the points K and j.

Therefore, the length of KJ is 6 units.

Note: In the given question we need to find KL instead of KJ because KJ is already given.

According to the tangent secant theorem:

[tex]a^2=bc[/tex]

Where,

Using the tangent secant theorem, we get

[tex]ML^2=KL\times JL[/tex]

[tex](4)^2=(x-2)\times (6+x-2)[/tex]

[tex]16=(x-2)\times (4+x)[/tex]

[tex]16=4x+x^2-8-2x[/tex]

On further simplification, we get

[tex]16=x^2+2x-8[/tex]

[tex]0=x^2+2x-8-16[/tex]

[tex]0=x^2+2x-24[/tex]

Splitting the middle term, we get

[tex]x^2+6x-4x-24=0[/tex]

[tex]x(x+6)-4(x+6)=0[/tex]

[tex](x+6)(x-4)=0[/tex]

[tex]x=-6,4[/tex]

For [tex]x=-6[/tex],

[tex]KJ=-6-2[/tex]

[tex]KJ=-8[/tex], which is not possible because side cannot be negative.

For [tex]x=4[/tex],

[tex]KJ=4-2[/tex]

[tex]KJ=2[/tex]

Therefore, the measure of KL is 2 units.

Answer:

x²y²

Step-by-step explanation:

Refer to image below:

Answer:

Step-by-step explanation:

Let us begin by just getting the equation of the circle first.

(x - 4)^2 + ( y - 2)^2 = 5^2

(x - 4)^2 + ( y - 2)^2 = 25

Now I'm going to graph that equation and discuss it here.

Answer:

P= -3

X= -18

Y= -7

S= -70

B= -9

M= -5

N= 0

Q= -22

The second slide's answers are attached to this message as a pic ;)

Step-by-step explanation:

Hope it was helpful dear ;)

Answer:

Money raised by Mr. Simmons class = $ 45.89

Answer:

1: 3/32. 2: 3/8. 3: 1/20

my dear

Answer:

36 more elves

Step-by-step explanation:

90 giants takes up 90/120 = 0.75 of the whole theater, leaving 0.25 empty for the elves.

0.25 * 144 = 36

36 more elves can fit.

Answer:

36 elves

Step-by-step explanation:

Hope this helps

Answer:

A. 2x + 5(2x + 6) = 12x + 30

Step-by-step explanation:

Infinitely many solutions means the two sides of the equation will be equal to each other, so B and D can be eliminated. Distribute for A and C to check

A. 2x + 5(2x + 6) = 12x + 30

    2x + 10x + 30 = 12x + 30

    12x + 30 = 12x + 30

C. 2(x + 5) + 2 = 6x + 2(x + 2)

    2x + 10 + 2 = 6x +2x + 4

     2x + 12 = 8x + 4

You only get the same equation for A, therefore A is the correct answer

Step-by-step explanation:

Let h be the number of hours.

Total Cost = Fixed Costs + Variable Cost

= Initial Fee + Hourly Charge

= 75 + 9h

Given,

[tex]75 + 9h = 250 \\ 9h = 250 - 75 \\ 9h = 175 \\ h = 175 \div 9 \\ = 19 \frac{4}{9} hr[/tex]

Since the car cannot be rent part of an hour, the highest possible whole number is 19 hours.

Answer:

the correct answer is 4th option line S

Answer:1828

Step-by-step explanation:

Answer:

3.571 g

Step-by-step explanation:

357,100 / 100,000 = 3.571

Answer:

3.571g

Step-by-step explanation:

357100 grams / 100000 sheets of paper = 3.571g per sheet of paper

Answer:

23.6

Step-by-step explanation:

Answer:

0.153

Step-by-step explanation:

15% =0.15

0.153 = 0.153

1/12 =0.083

1/7=0.142

So the greatest one is 0.153

Step-by-step explanation:

18

Answer:

Reduced fat had the greater spread.

Step-by-step explanation:

Step-by-step explanation:

Your que. isn't very clear

The best answer from the choices provided is option B) 56.

Step-by-step explanation: Simply subtract 34 from 90.

Although the options related to your question is missing attached below is the transformation matrix

A transformation matrix alters the original coordinate system of a matrix from x, y to  x' , y' ( i.e. the inverse value of x and y )

Given transformation matrix :

[tex]T = \left[\begin{array}{ccc}1&0\\0&-1\\\end{array}\right][/tex]

   [tex]= \left[\begin{array}{ccc}1&0\\0&-1\\\end{array}\right]\left[\begin{array}{ccc}x\\y\\\end{array}\right][/tex] [tex]= \left[\begin{array}{ccc}x\\-y\\\end{array}\right][/tex]

From the diagram in the question

x = -2 , y = 4

hence ; T( -2, 4 ) = ( -2, -4 )  

attached below is the transformation matrix showing the application of t to v

learn more : https://brainly.com/question/22378074

Answer:

A

Step-by-step explanation:

Edg 2021

Answer:

B)Positive Slope

Step-by-step explanation:

Answer:

B) positive

Step-by-step explanation:

Answer:

V = 262’144 ft^3, surface area = 24’576 ft^2

Step-by-step explanation:

The volume con be find with this formula =

V = side^3

V = 64^3 = 262’144 ft^3

For find the surface area we can proceed in this way: first of all we can find the area of a face.

A = side^2 = 4096 ft^2

a cube has 6 faces, so we have to the mutiply the value six times.

Surface area = 4096  x 6 = 24’576 ft^2

Answer:

1) reflection

2) translation

Step-by-step explanation:

Figure 0 is first reflected across the x-axis, and then moved 4 spaces to the left, although it could also be seen the other way around.

The only options that aren't possible are any influcing rotation, since the two shapes aren't translated, and rotation-rotation and translation-translation.

Answer:

9 Loaves of Bread

Through dividing 6(total bread) by 8(total cups) you get 3/4C per bread

So you multiply 12 by 3/4 or 0.75 to get 9