The lifespans of gorillas in a particular zoo are normally distributed. The average gorilla lives 20.8 years; the
standard deviation is 3.1 years.
Use the empirical rule (68 – 95 - 99.7%) to estimate the probability of a gorilla living between 11.5 and 27 years.

Answers

Answer 1
If the mean is 20.8, one standard deviation each way is adding and subtracting 3.1, so 17.7 and 23.9 (68% of values)

Two standard deviations adding and subtracting 3.1*2 = 6.2, or 14.6 and 27.

Three standard deviations is 11.5 and 30.1

So we have
11.5 - 14.6 - 17.7 - 20.8 - 23.9 - 27 - 30.1

Going left to 11.5 is 3 standard deviations out, so 99.7/2 = 49.85%

Going right to 27 is 2 standard deviations out, so 95/2 = 47.5%

Add those two % to get 97.32%

This is hard to do without a picture so I hope that helps!


Related Questions

A parallelogram that is not a rectangle is graphed in a coordinate plane. The endpoints of a diagonal of the parallelogram
are (1, -3) and (9,2).
• What could be the coordinates of the endpoints for the other diagonal ?
Explain your reasoning. Be sure to include any geometric theorems you used in your reasoning.

Answers

Answer:

The other diagonal can be anywhere so long as the slope is 5/8 and the endpoints are sqrt(89) distance apart.

I don't know the geometric theorems :( but I hope this first part is helpful

The angular speed for a Wind turbine with blades turning at a rate of 19 revolutions per minute is

Answers

Answer

The answer to the question is 3.157 revolutions per second.

Step-by-step explanation:

The reason is because speed is the distance the object travels in a second.

So, we know that the wind turbine is moving 19 revolutions per minute, so therefore to find the number of rotations the wind turbine is doing per second we have to do 60/19 because there is 60 seconds in a minute.

Therefore, if we do that equation we get the answer, as 3.157 revolutions per second!

I hope this answer helps!

Find the radius of the circle whose equation is x² + y² = 4.
4
2
16

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Hakeem shot the basketball 28 times and made 17 baskets. What percent of his shots were baskets? step by step

Answers

Answer:

60

Step-by-step explanation:

Answer:

17 divided by 28 = .6071  which equals 60.7% or rounded to 61%

Step-by-step explanation:

long division

an Italian restaurant buys 15 pounds of onions every 2 weeks. how many bags of onions will the restaurant buy in 7 weeks?

Answers

Answer:

45

Step-by-step explanation:

This is a trick question. Since they only get three purchases in by 7 weeks, the answer will be 15 times 3 or 45.

(If I'm wrong and it's not a trick question, then it's 15 times 3.5 or 52.5)

Hope this helps!

i don’t understand.
online school is hard

Answers

It’s hard my dude but don’t give up

What is the area or the figure below? THE FIRST TO ANSWER GETS MARKED AS BRAINLIEST

Answers

Answer:

168 in.²

Step-by-step explanation:

it is the correct answer

Two vertices of a rectangle are (−10, −7) and (−10, 18) .

What is the length of this side of the rectangle?

Answers

Answer:

The length of the side of the rectangle is 11 units.

Answer:

11 units

Step-by-step explanation:

did the unit test in K12

What is the coefficient of 8 term in the expansion of 2( + 1)10?

Answers

Answer:

180

Step-by-step explanation:

2(8+1)10

add the number in parenthesis

2(9)10

18x10

180

Consider the polynomial 9x2 – 16.

What is the value of ac?



What is the value of b?



What two numbers multiply to get ac and add to get b?



The factored form of 9x2 – 16 is

Answers

Step-by-step explanation:

The value of ac together is 16(9x^2) or 144x^2

The value of B is zero since there is no B

(b is x, ( note not x^2, but only 1x)

Answer:

What is the value of ac? -144

What is the value of b? 0

What two numbers multiply to get ac and add to get b? -12 and 12

The factored form of 9x² - 16 is (3x-4)(3x+4)

Step-by-step explanation:

Dude trust me

yes or no? please help!!

Answers

Answer:

No it is not

Step-by-step explanation:

One cannot have two outputs

Please mark me brainlest!!

Rewrite the expression using the distributive
property. Do not add any extra spaces.
9y2-3y

Answers

Answer:

3y (3y -1)

Step-by-step explanation:

please help my mom is about to ground me

Answers

Answer:

d

Step-by-step explanation:

180-90-40=50

D: 50

How to:
Add 40+90
Subtract from 180

IM EAT SOMETHING
Try to guess what im eating (you have 3 tries)
sour but a little sweet
DARK red
LOTS of seed
wish you luck

Answers

Answer:

Raspberry?

Step-by-step explanation:

Did I get it???

Hope you have a great day! :)

I think the answer is a pomegranate...

What is the length of segment AB?

Answers

12!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Which of the following is equivalent to 8?
3 to the power of 2
2 to the power of 4
2 to the power of 3
4 to the power of 2

Answers

I know this was already answered but I worked them out for you just in case.

f(x) = 3x – 10
g(x) = x2 + 4x + 5
Find: g(f(x))

Answers

Answer:

g(f(x))=g(3x – 10)=(3x – 10)² + 4(3x – 10)+ 5=9x²-60x+100+12x-40+5=9x²-48x+55

)Suppose is a real number with 0 < < 4 . Set = sin( − ), = cos( + ), = sin( − ), and = cos(2 − ). Arrange the values , , , and in increasing order, and explain how you determined their order.

Answers

Answer:

b < c < a < d

Step-by-step explanation:

P.S - The exact question is -

Given - Suppose x is a real number with 0 < x < [tex]\frac{\pi }{4}[/tex] . Set a = sin([tex]\pi[/tex] - x) ,                                    

             b = cos([tex]\pi[/tex] + x) , c = sin( x - [tex]\pi[/tex]) , d = cos(2[tex]\pi[/tex] - x)

To find - Arrange the values of a, b, c, d in increasing order , and explain

              how you determined their order.

Proof -

Firstly draw a unit circle where you indicate the following

A = ( cos(x), sin(x) )

B = ( cos( [tex]\pi[/tex] - x) , sin ([tex]\pi[/tex] - x) )

C = ( cos([tex]\pi[/tex] + x), sin ([tex]\pi[/tex] + x) )

D = ( cos (2[tex]\pi[/tex] - x) , sin (2[tex]\pi[/tex] - x) )

As we have given that 0 < x < [tex]\frac{\pi }{4}[/tex]

⇒sin (x) and cos(x) are positive and sin(x) < cos(x)

The figure is as follows :

Now

By seeing point B , we can say that

sin ([tex]\pi[/tex] - x) = sin (x) = a

By seeing point C , we can say that

cos([tex]\pi[/tex] + x) = -cos (x) = b

By seeing point C , we can say that

sin( x - [tex]\pi[/tex]) = -sin(x) = c

By seeing point D , we can say that

cos(2[tex]\pi[/tex] - x) = cos(x) = d

As sin(x) < cos(x) ⇒ a < d

   -sin(x) > -cos(x) ⇒ c > b ⇒ b< c

and as we know that -sin(x) < sin(x) ⇒ c < a

∴ we get

b < c < a < d

show work if can

Simplify the expression:
(3g - 8) - (2g - 1)

Answers

Answer:

g+-7

Step-by-step explanation:

Let's simplify step-by-step.

3g−8−(2g−1)

Distribute the Negative Sign:

=3g−8+−1(2g−1)

=3g+−8+−1(2g)+(−1)(−1)

=3g+−8+−2g+1

Combine Like Terms:

=3g+−8+−2g+1

=(3g+−2g)+(−8+1)

=g+−7

Answer:

[tex]g - 7[/tex]

Step-by-step explanation:

1. Remove parentheses.

[tex]3g - 8 - 2g + 1[/tex]

2. collect like terms.

[tex](3g - 2g) + ( - 8 + 1)[/tex]

3. Simplify.

[tex]g - 7[/tex]

therefor, the answer is g - 7

helppppppppppppppppp​

Answers

The answer would be 125
The answer will be 125 I think hope this is right

What is the answer plz help

Answers

The answer is 339.12. You have to do 3.14 times the radius squared. The radius is 6 and 6 squares is 36 then h/3 also 9/3 so 3.14*36*3

: Susan bought a 6-month $1,400 certificate of deposit. At the end of 6 months, she
received $126 simple interest. What annual rate of interest did the certificate pay?

Answers

She paid 6 dollars every month.


hey can someone please confirm my answer? i got D but it was a guess because i’m not confident in my graphing skills yet

Answers

Correct answer would be c, since the question is only asking for the solution and not the x valued (plotted left and right) it would be where both segments meet

Answer:

the answer is d

Step-by-step explanation:

A pilot is traveling at a height of 30,000 feet above level ground. She looks down at
an angle of depression of 6° and spots the runway. As measured along the ground, how
many miles away is she from the runway? Round to the nearest tenth of a mile.

Answers

Answer:

540.6 mi

Step-by-step explanation:

The angle of depression = angle of elevation = 6°

Let x = the distance to the runway.

tan 6 = 30000/x

xtan 6 = 30000

x = 30000/tan 6 =285430.9 ft

285430.9336.../5280 = 540.6 mi

A pilot is flying 30,000 feet above the surface of the earth. She notices the runway when she looks down at a 6° depression then she is 540.6 miles away from the runway.

What is meant by angle of depression?

A depression angle is formed when the viewer is higher than the object they are looking at. When a viewer looks at an object at a closer distance than themselves, an angle is formed under the horizontal line drawn at the viewer's eye level and the line connecting the object to the viewer's eye.

Elevation angle is the angle formed when a person stands on the ground and looks at an object above the ground at a height above the person's height. This is the basic difference between the two angles. Both angles are calculated using trigonometry concepts.

The angle of depression is defined as the angle formed by the horizon and the line connecting the object to the viewer's eye. This angle depends on two factors: altitude and distance.

Given: A pilot is flying 30,000 feet above the surface of the earth. She notices the runway when she looks down at a 6° depression.

The angle of depression = angle of elevation = 6°

Let x be the distance to the runway.

tan 6 = 30000/x

simplifying the above equation, we get

x tan 6 = 30000

x = 30000/tan 6 = 285430.9 ft

285430.9336/5280 = 540.6 mi

She is 540.6 mi away from the runway.

To learn more about angle of depression, refer to:

brainly.com/question/27865363

#SPJ2

Input. Output
2. 10
4. 18
6. 22

Answers

What’s the question?

Answer:

incomplete question

Step-by-step explanation:

Adding up inches in a perimeter

Answers

Answer:

To find the perimeter of a rectangle, add the lengths of the rectangle's four sides. If you have only the width and the height, then you can easily find all four sides (two sides are each equal to the height and the other two sides are equal to the width).

Step-by-step explanation:

Jeremy wants to read 100 more books by the end of the school year. There are 36 weeks of school. How many books does Jeremy need to read each week?

Answers

Answer: 2.777777778 or 2.7 or rounded to 3.0

Step-by-step explanation: 100 • 36 = 2.7 or 3.0

Answer:

I am not 100 % but I think it is 2 books a week

Step-by-step explanation:

100/36

Brainlest??

write and equation for the trend line shown

Answers

Answer:

y = [tex]-\frac{10}{3}[/tex]x + 70

or

y = 70 [tex]-\frac{10}{3}x[/tex]

(They're both the same equation, whichever one you prefer you can use!)

The Frosty Ice-Cream Shop sells sundaes for $2 and banana splits for $3. On a hot summer day, the shop sold twice as sundaes than banana splits and made $154. Write a system of linear equations to help solve for how many of each type are in your uncle's collection. Define Variables: Lets the number of sundaes sold Let B - the number of banana splits sold​

Answers

Answer:

i dont want  to put the whole example cz like ur school might catch u so u gonna have to do the explainin part srry:( but the answear is 156$

Step-by-step explanation:

substitution method
a=-b+5
2b+a=11

Answers

Answer:

a = -1

b = 6

Step-by-step explanation:

a = -b + 5

2b + a = 11

2b + a = 11

2b + (-b + 5) = 11

2b - b + 5 = 11

b + 5 = 11

b = 11 - 5

b = 6

2b + a = 11

2(6) + a = 11

12 + a = 11

a = 11 - 12

a = -1

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