The heights of 20-year-old females are normally distributed with a mean of 64 inches and a standard deviation of 2 inches. What is the z-score for a height of 62 inches?​

Answer:

A) The multiplier for this situation is 0.02.

B) The cost in 4 years will be $ 33,555.39.

C) 31,000 x 1.02 ^ N = X

Step-by-step explanation:

Since in 2012 the average cost for a new midsized car was about $ 31,000, and new car prices tend to go up about 2% every year, to determine what is the multiplier for this situation, what will the cost be in 4 years if this trend continues and to write an equation to calculate the cost in n years the following calculations must be performed:

A)

31,000 x 2/100 = X

31,000 x 0.02 = X

Thus, the multiplier for this situation is 0.02.

B)

31,000 x 1.02 ^ 4 = X

33,555.39 = X

Thus, the cost in 4 years will be $ 33,555.39.

C)

31,000 x 1.02 ^ N = X

Here, N represents the number of years over which the price increase will be calculated, and X represents the price after that number of years.

Answer:

B) 2

Step-by-step explanation:

6/3 = 2

3/3 = 1

6÷3 = 2

Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

Answer:

20.283

Step-by-step explanation:

1) the formula of the required Area is:

A=A₁+A₂, where A₁ - area of semicircle, A₂ - area of rectangular;

2) the radius of the semicircle is: r=(7-2-1)/2=2 cm, then the area A₁:

A₁=0.5*π*r²=2π≈6.283 (cm²);

3) A₂=7*2=14 (cm²);

4) finally, A=A₁+A₂=6.283+14=20.283 (cm²)

Answer:

13/6 Which you can divide and get a decimal instead (Decimal: 2.166667)

Step-by-step explanation:

Answer:

area = 153.86 in²

Step-by-step explanation:

Diameter = 14π / π = 14

radius = 1/2(14) = 7

area = π7² = 153.86 in²

Answer:

B

Step-by-step explanation:

180°= straight line

180°-42°=138

Answer:

D

Step-by-step explanation:

Answer:

D is the correct answer :)

Step-by-step explanation:

Hi,

Twice a number is 2x (x because we don't know what that number is) The word "difference" suggests we're subtracting. So, 2x - 16 = 30 is correct.

Have a great rest of your day :)

Answer:

225 hamburgers

Step-by-step explanation:

system of equations:

h + c = 390

c = h-60

use Substitution:

h + h - 60 = 390

2h - 60 = 390

2h = 450

h = 225

9514 1404 393

Answer:

  x = 8.2

Step-by-step explanation:

As indicated on the supplied diagram, the measure of arc GH is ...

  GH = 360° -83° -115° = 162°

The inscribed angle at F is half this measure, so we have ...

  (10x -1)° = 162°/2

  10x = 82 . . . . . . . . add 1 and simplify

  x = 8.2 . . . . . . . . . divide by 10

Answer:

False

Step-by-step explanation:

The answer to this question is false because the missing observation does not introduce bias to the estimator. But missing observations reduces the size of the sample that is available from the given population. Therefore reducing the precision of the estimators.

In conclusion, no bias is introduced because of missing observations so the answer is false.

Answer:[tex]g (f (x)) = 3^{2} + 24[/tex]

Step-by-step explanation:

The true about the solutions of the equation f(x) = g(x) is

The solution of the graph where the graph of function intersect at

x = 1 and x = 3.642.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).

We have function,

f(x) = log(x - 1)

g(x) = 1/3x² - 4

As, f(x) = g(x)

log (x-1) = 1/3 x² - 4

Now, putting x= 1, x= 3.642, x= 4.464, x= 4 , x= 0.422 into the formula for the observation.

So, the solution of the graph where the graph of function intersect at

x = 1 and x = 3.642

Learn more about Function here:

https://brainly.com/question/30721594

#SPJ5

Answer:

Step-by-step explanation:

Answer:

5.573.75

Step-by-step explanation:

because math

Answer:

k= -8

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

that's a right angle

Answer:

[tex]\%Percent = 14.3\%[/tex]

Step-by-step explanation:

Required

15 is what percentage of 105

To do this, simply divide 15 by 105 multiplied by 100%.

So, we have:

[tex]\%Percent = \frac{15}{105} * 100\%[/tex]

[tex]\%Percent = \frac{15*100}{105}\%[/tex]

[tex]\%Percent = \frac{1500}{105}\%[/tex]

[tex]\%Percent = 14.3\%[/tex] --- approximated

Answer:

420 cm3

Step-by-step explanation:

Volume of a rectangular prism is length * width * height

Here that's:

7 * 12 * 5 = 420

Answer:

quadrant three I think.

Answer:

quadrant IV

Step-by-step explanation:

(x,y) the x line has positive numbers while the y has negative numbers

Answer:

Step-by-step explanation:

1)  

we are given ∠17  and the Adj = 200 meters they want to know the Opp

so use  TOA

Tan(17) = Opp / 200

200*Tan(17) = Opp

61.146 = Opp

the mast stands 61.1 meters tall   ( rounded to nearest 10th )

2)

now we know the opp = 40 meters and the angle is 35° and Adj = x

Use TOA again, but w/ the different knowns

Tan(35) = 40 / Adj

Adj = 40 / Tan(35)

57.1259 = Adj

so the boat is 57.1 meters from the cliff  ( rounded to nearest 10th)

3)

we are given two triangles now and are told to find the difference between them to find the distance between the buoys

Opp = 70

∠A = 60

∠B = 40

we want to find the Adj for each so use TOA

for A , then

Tan(60)= 70/a

a = 70 / Tan(60)

a = 40.4145

for B, then

Tan(40) = 70 /b

b = 70 / Tan(40)

b = 83.4227

so subtract  a  from b

83.4227 - 40.4145 = 43.008

so from buoy A to buoy B is 43.0 meters ( rounded to nearest 10th )

:)

Answer:

A=200.96.

Step-by-step explanation:

A=3.14×16/2^2.

A=3.14×8^2.

A=3.14×64.

A=200.96 or A=201.

Answer:

Bailey's balance after 180 days is $ 157.39.

Step-by-step explanation:

Since Bailey wanted a new pair of shoes, and she put the $ 142 cost on her credit card, but because Bailey has been irresponsible with her credit, the credit card company charges her 22% annual interest, for figure Bailey's balance after 180 days, assuming she made no payments, the following calculation must be made:

365 = 100

180 = X

180 x 100/365 = X

18,000 / 365 = X

49.31 = X

22 x 0.4931 = 10.84

142 x 1.1084 = X

157.39 = X

Thus, Bailey's balance after 180 days is $ 157.39.

Answer:

Step-by-step explanation:

285 - 60= 225

225/45= 5

5 weekdays

Answer:

a) 92.9 degrees

b) 20 degrees

Step-by-step explanation:

Using the conversion factor;

180 degrees = pi radians

For 1.62 radians;

1.62 radians = x

pi radians = 180 degrees

Divide both expressions;

1.62/pi = x/180

pi * x = 1.62 * 180

pi * x = 291.6

x = 291.6/pi

x = 291.6/3.14

x = 92.9 degrees

Hence 1.62 radians is equivalent to 92.9 degrees

b) Recall that

pi radians = 180 degrees

pi/9 rad = y

Cross multiply

y * pi = 180pi/9

y = 180/9

y = 20 degrees

Hence pi/9 radians is equivalent to 20 degrees

Answer:

37.5

Step-by-step explanation:

you have to multiply all the dimensions

Answer:

TSA=Ph+2B

(2+1.5+2.5)5+2(1/2*1.5*2)

6(5)+2(1.5)

30+3

33

Step-by-step explanation:

Answer:

let no be x

2/5 of x=36

x=36×5/2

x=18×5=90

required no is 90

Answer: 14

Step-by-step explanation:

5x9/8

Answer: Each person would get [tex]1 \frac{4}{5}[/tex] pizzas.

Step-by-step explanation:

9 pizzas divided by 5 people would be:

9 ÷ 5 = 9/5

9/5 = 1 4/5

Therefore, each person would get get [tex]1 \frac{4}{5}[/tex] pizzas.

Answer:

the answer is F.8

Step-by-step explanation: