The heights of all 12-year old girls in the U.S. Are normally distributed with a mean of 60.5 inches and a standard deviation of 3 inches. What is probability that a girl chosen at random from a that age group with have a height of at least 69.5 inches?

Answer:

Step-by-step explanation:

1.)12.

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator.

Thus, the answer to 4 divided by 1/3 in fraction form is:

[tex]\frac{12}{1}[/tex]

To make the answer to 4 divided by 1/3 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

12

The answer is rounded to the nearest two decimal points if necessary.

[tex]\frac{12}{1}[/tex] is an improper fraction and should be written as 12.

2.) 9

Answer:

(A) 201

Step by step explanation :

Volume of a cone is approximately equal to [tex]\boldsymbol{201}[/tex] inches.

So, option A. is correct.

A cone is a three-dimensional geometric object with a smooth trans-ition from a flat base to the ap-ex or vertex.

Radius of a cone is half of the diameter.

Radius of a cone [tex](r)=\frac{8}{2}[/tex]

                                 [tex]=4[/tex] inches

Height of a cone [tex](h)=12[/tex] inches

Volume of a cone [tex]=\frac{1}{3}\pi r^2 h[/tex]

                              [tex]=\frac{1}{3}(\frac{22}{7} ) (4)^2 (12)[/tex]

                              [tex]\approx 201[/tex] inches

So, volume of a cone is approximately equal to [tex]\boldsymbol{201}[/tex] inches.

So, option A. is correct.

Find out more information about cone here:

https://brainly.com/question/2920315?referrer=searchResults

Answer:

Point Form:

(-3, -5)

Equation Form:

x = -3, y = -5

Step-by-step explanation:

Hope This Helps! : )

Answer: You would have 4160$

Step-by-step explanation: there is 52 weeks in a year so 52 times 80

Answer:

the size of the bacterial population after 100 minutes is 20,158.7 bacteria

the size of the bacterial population after  10 hours is 2097152000 bacteria

Step-by-step explanation:

Given that

The bacteria contains 2000

It would be double at every half hour

We need to find out the size of the bacteria after 100 minutes & 10 hours

So,

The size of the bacteria after 100 minutes is

= 2000 × 2^(100 ÷ 30)

= 2000 × 10.079

= 20,158.7 bacteria

Now the size of the bacteria after 10 hours is

10 hours = 10 × 60 minutes = 600 minutes

= 2000 × 2^(600 ÷ 30)

= 2097152000 bacteria

Answer:

144 m^3

Step-by-step explanation:

Please find attached the image of the prisms

Volume of a triangular prism = area of the base x height  of the prism

Area of the base = 1/2 ( base x height)

the two prisms are similar, thus, the dimensions of the bigger rectangle can be gotten from the ratio of the base of the smaller and bigger triangle

ratio of their dimensions = 6 / 1.5 = 4

the dimensions of the bigger triangle is 4 times that of the smaller triangle

height of the base of the prism = 1.5 x 4 = 6

Height of the prism = 2 x 4 = 8

Area of the base of the prism = (1/2) x 6 x 6 = 18 m^2

Volume of the prism = 18 x 8 = 144 m^3

Answer:

D. 144 m^3

Step-by-step explanation:

Just took the Pre-Test on Edg (2020-2021)!!

here it is in bio they wont let me type it

Answer:

D

Step-by-step explanation:-8×3x represents a vertical strech by a factor of

8 and a reflection across the x-axis.

The answer is D.

Answer:

12-9 i think

Step-by-step explanation:

Because it says the difference if a number y and 9. If y equals 12 then shouldn't it be 12-9?

Answer:no

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

It can't have a side of 1, 2, and 5 because any two sides of a triangle must be larger then the 3rd side.

1 + 2 = 3 is not larger then the 3rd side which is 5

Answer:

4

Step-by-step explanation:

[tex]\sqrt{16}[/tex] = 4

Answer:

4.

Step-by-step explanation:

The square root of 17 is 4.12...

square root of 16 is 4

Answer:

Step-by-step explanation:

Answer:

there no photo so I cant answer without seeing it

Answer:

175/2.5=70

Step-by-step explanation:

[tex] \frac{4}{5} \times 10 = (\frac{4}{5}) (\frac{10}{1} ) = \frac{(4)(10)}{(5)(1)} = \frac{40}{5} = 8[/tex]

Answer:

I believe the answer is 52.

Step-by-step explanation:

I used the shape given to find the surface area because nets are not fun and my brain likes shapes better.

Answer:

Loss= $175

Loss %= 7%

Step-by-step explanation:

First of all, you find the difference between 2500 and 2325 which is 175, as his has decreased, it is a loss of $175

To find the percentage you do the difference over the original amount

So 175/2500 which will give you 0.07

0.07 x 100 will give you 7%

Answer:

b

Step-by-step explanation:

735\

Answer:

the top 1! it's bigger by 2cm length wise

Answer:

josephina is 20 years old

Step-by-step explanation:

please mark brainliest

Answer:

20años

Step-by-step explanation:

Answer:

2/10

Step-by-step explanation:

smart 'v'

Answer:

2/10, 1/5, 8/40

Step-by-step explanation:

please mark as brainliest

ok so divide both by  4

and 2 and go on

Answer:

15

Step-by-step explanation:

The y-intercept is 15 because the equation of the line is in slope intercept form where y=mx+b

m is slope

b is the y- intercept

Answer:

x1= -6 and x2= 5/3

Step-by-step explanation:

good luck

A scale drawing with a 1: 0,8 scale will have sides that measure 2.24, 1.6, and 3.2.

A scale drawing refers to a drawing that has been made bigger or smaller but preserves the proportions of a drawing.

The first step is to decide the scale. In this case, the best scale is 1:0.8, which means the new drawing is 0.2 smaller. This scale is ideal because this sign is slightly bigger than regular signs.

Draw the sign by multiplying each side by the scale (0,8).

Learn more about scale drawing in: https://brainly.com/question/26467371

Answer:

13

Step-by-step explanation:

Hometown Donuts recently sold 19 donuts, of which 6 were cream-filled donuts. What is the experimental probability that the next donut sold will be a cream-filled donut?

Write your answer as a fraction or whole number.

-------------------------------------------------------------------------------------------------------------

Remember That The experimental probability is the number of times an event occurs out of the total number of trials.

-------------------------------------------------------------------------------------------------------------

So. Write the experimental probability as a fraction in simplest form: P(Cream-Filled Donuts) = Cream-Filled Donuts over / divided by the total (Cream-Filled Donuts/Total)

-------------------------------------------------------------------------------------------------------------

= 6/19

-------------------------------------------------------------------------------------------------------------So, The Answer Would Be 6/19

This is the right answer, I had the same question ^^

Answer:

9/25

Step-by-step explanation:

Answer: x = 2

The step by step is attached to this answer, hope it helped!

Answer:

x = 5 or -1

We reject the second answer of x = -1

This is because upon substituting, it will give a negative number which the logarithm value of a negative number is not obtainable

So our only correct answer here is x = 5

Step-by-step explanation:

From the logarithmic rules;

log a - log b = log (a/b)

Applying this here, we have;

log4(x^2-4/4x+ 1) = 0

(x^2-4)/(4x+ 1) = 4^0

(x^2-4)/(4x + 1) = 1

x^2 -4 = 1(4x + 1)

x^2 -4 = 4x + 1

x^2 - 4x -4-1 = 0

x^2 -4x -5 = 0

x^2+ x -5x -5 = 0

x(x + 1) -5(x + 1) = 0

(x-5)(x + 1) = 0

x = 5 or -1

Answer:

P = 10x + 4

Step-by-step explanation:

Formula to find perimeter:

P = 2(l + w)

P = 2(2x + 3x + 2)

P = 2(5x + 2)

P = 10x + 4