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

Mr. Gonzalez is designing a planter box shaped like a rectangular prism. The width of the box is 6 feet, and the length is 4 feet. Find the height of the box if the volume is 150 cubic feet.

Answers

Answer: 6.25

Step-by-step explanation:

6•4•(6.25)= 150

If Amy has 10 quarters, 10 dimes, and 10 nickels what percent of her MONEY is in dimes?

Answers

Answer:

%0.13

Step-by-step explanation:

10 quarters= $2.5 which is 25 dimes

10 nickels= $0.5 which is 5 dimes

10 dimes= $100

100+25+5= 130 dimes = $13

13/100 = %0.13  

What is problem number 2??

Answers

Answer:

QR

Step-by-step explanation:

The question is just trying to see if you can read the order of the lines.

PQ is the first 2 letters of PQR so XY has to be the first 2 letters of XYZ

Answer

YZ is the second and third letters of xyz.

QR are the 2nd and 3rd letters of PQR

Alina has been collecting video games for a year. The table below shows how many games games she has received over the year​

Answers

Answer:

I don’t see the table so I can’t answer it....

Step-by-step explanation:

....................

9x + 3y = -15
-18x - 6y = 30

X = ?
Y = ?

Answers

Answer:

x = x, y = −5 −3x

Step-by-step explanation:

hope this helps

20 customers are eating dinner at a local restaurant. The restaurant accepts cash or credit as forms of payment.
Of the 20 customers, 4 have enough cash to pay for their meal, 16 have a credit card, and 3 have enough cash
and a credit card. Using this information, answer each of the following questions.
Let A be the event that a randomly selected customer has enough cash and B be the event that a randomly
selected customer has a credit card.
What is P(A), the probability that a customer has enough cash?
What is P(B), the probability that a customer has a credit card?
What is P(A and B), the probability that a customer has enough cash and a credit card?
What is P(A or B), the probability that a customer has enough cash or a credit card?

Answers

I think it might be B

A.49
B.-49
C.44 2/15
D.-44 2/15

Answers

the answer is A. 49, hope that helps


When two powers with the same base
are multiplied together, what is done
with the exponents?

Answers

The exponents are added.

I will give brainliest away if you solve this for me please.

Answers

Turn both equations into slope-intercept form [ y = mx + b ].

x + 3y = 3

~Subtract x to both sides

3y = 3 - x

~Divide 3 to everything

y = 1 - x/3

~Reorder

y = -1/3x + 1

4x + 3y = -6

~Subtract 4x to both sides

3y = -6 - 4x

~Divide 3 to everything

y = -2 - 4x/3

~Reorder

y = -4/3x - 2

Graph of the equations will be shown below. Note that the solution of graphing two equations will be where both equations intersect. Both lines intersect at (-3, 2), hence making that the solution.

Best of Luck!

Answer:

Hey, so this is what I got for them as equations. The 1st one is y=-1/3x+1, and the 2nd one is y=-4/3x-2.  Hope it helps

Step-by-step explanation:

A bracelet that regularly sells for $44 is on sale for 15% off. Find the sale price of the bracelet. Use dollar signs with your answer. *

Answers

Answer:

The answer would be $37.40

Step-by-step explanation:

The sale price would be the current price which is 44 - 15% of itself.

It is 15 percent off, so 44 x 0.85 would be the equation, since the now price is 85 percent of the original price.

44 x 0.85 = 37.40

dollar signs ;)

Answer:

$33.00

And here's a link to the quiz i think your taking. (Its a answer key)

https://quizizz.com/admin/quiz/5c90d54dd7b2aa001fb8e8b8/-applications

In a sale normal prices are reduced by 10%
Tom bought a pair of shoes in the sale for £54.
What was the original price of Tom's shoes?

Answers

Answer:

What are the answer choices

Step-by-step explanation:

a store bought 150 toys at a cost of $8 each, the store sold all the toys at a percent markup of 35%. find the total selling price​

Answers

150x$8=1200
1200x.35=420
$1200+$420=$1620

Find the lateral surface area of the prism.

24 in.
4 in.
5 in.


I WILL GIVE BRAILIEST

Answers

Answer:

280m to the power of 2

Step-by-step explanation:

Given a set of data with the Regression Line: y = 3.5x + 18.5

What is the residual value for the ordered pair (100, 370)?

Answers

Answer:

1.5

Step-by-step explanation:

[tex]y=3.5*100+18.5=368.5\\rv=370-368.5=1.5[/tex]

which one?

a)
b)
c)
d)

Answers

Answer:

d

Step-by-step explanation:

Answer:
d. 3/5

Explanation:
Shaded Area = 15
Total Area = 25

What is the distance between (5, -1) and (5,-4)

1 unit
3 unit
4 unit
5 unit

Answers

Answer:

3 units  

Step-by-step explanation:

derek tried to dilate the isosceles trapezoid abcd with the center of dilation at the origin with a scale factor of 2. check his work and complete the statements

the slope of ac is ___
the slope of eg is ___
the polygons are not dilation of each other because ___

Answers

Answer: 4,2 the corresponding sides are not parallel

Step-by-step explanation:

help me pls I really have to get this done ill give brainliest

Answers

Answer:

ok thx

Step-by-step explanation:

If possible step by step explanation. thank you!

Answers

Answer:

A

Step-by-step explanation:

[tex]\frac{(3x^{2} )^\frac{1}{2} }{3^\frac{1}{2} } =3[/tex]

[tex](3x^2)^\frac{1}{2} = 3^\frac{1}{2} x[/tex]

Remember that [tex]\frac{x^b}{x^c} =[/tex]x^(b-c)

Using that [tex]\frac{3^\frac{1}{2}x }{3^\frac{1}{2} }[/tex]=3^(1/2x-1/2)=3^((x-1)/2)

[tex]3^\frac{x-1}{2} =3^1[/tex]

So we can say: [tex]\frac{x-1}{2} =1[/tex], because the bases are the same

We can multiply both sides of the equation by 2. We get x-1=2, and x=3. Which is A.

Work out the fraction that is halfway between 1/2 and 1 1/4

Answers

Answer:

The fraction that is halfway between 1/2 and 1 1/4 is:  5/8

Step-by-step explanation:

Given the fractions

1/2 and 1 1/4

In order to determine the fraction that is halfway between 1/2 and 1 1/4 first, we need to add the fractions and then divide the result by 2.

1)

Add the numbers

[tex]\frac{1}{2}\:+\:1\frac{1}{4}[/tex]

as  1 1/4 = 3/4, so

[tex]\frac{1}{2}\:+\:1\frac{1}{4}=\frac{1}{2}+\frac{3}{4}[/tex]  

Apply fraction rule:  [tex]\frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}[/tex]

             [tex]=\frac{2+3}{4}[/tex]

              [tex]=\frac{5}{4}[/tex]

2)

Divide by 2

[tex]\frac{5}{4}\div \:2[/tex]

Convert element to fraction:  [tex]2=\frac{2}{1}[/tex]

[tex]\frac{5}{4}\div 2=\frac{5}{4}\div \:\frac{2}{1}[/tex]

Apply fraction rule:  [tex]\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]

         [tex]=\frac{5}{4}\times \frac{1}{2}[/tex]

Multiply fractions:  [tex]\frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]

         [tex]=\frac{5\times \:1}{4\times \:2}[/tex]

         [tex]=\frac{5}{8}[/tex]

Conclusion:

Therefore, the fraction that is halfway between 1/2 and 1 1/4 is:  5/8

If an airplane travels a distance of 500 km in 5 hours heading north, what is its velocity?
PLEASE SHOW WORK!

Answers

Answer:

12

Step-by-step explanation:

y + 5/2 x = 2 as slope intercept form graph show all work

Answers

Answer:Graph y=5-2x. y=5−2x y = 5 - 2 x. Reorder 5 5 and −2x - 2 x . y=−2x+5 y = - 2 x + 5.

Scott took out a 72 month loan for $35,000 to purchase a new boat. If Scott paid $8,925 in simple interest, what was the interest rate?

Answers

Answer:

Option 4.7% = 3,500 x 4.7% =$164.50 simple annual interest.

82.25 this is what Scott will pay in 6 months at simple interest.

 

Option 4.2% =3,500 x (1 +0.042/12)^6 =3,500 x 1.0035^6=$3,574.15.

3,500 =$74.15 this is what Scott will pay in 6 months at compounded interest.

 

The compound option is cheaper by: 74.15 =$8.10.

Answer: 4.75

Step-by-step explanation:

3(3x – 3) = 27
Solve!

Answers

Ans

Step-by-step explanation:

x=4 should be the answer

Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the
rounded values to calculate the next value. Round your final answer to the nearest tenth.

A. 57.9
B. 69.4
C. 61.1
D. 36.9

Answers

I think it’s b not sure tho

Which is an example of a function?


the price of a movie ticket and the height of the customer

the price of a piece of cloth and the length of the cloth

the time it takes to mow a lawn and the age of the person mowing the lawn

the distance to school and the time you spend at school

Answers

Step-by-step explanation:

the price of a piece of cloth and the length of the cloth

5(2Y - 3) – 4y = 8 – 2y - 15
Justify this please

Answers

Answer:

y=1

Step-by-step explanation:

Let's solve your equation step-by-step.

5(2y−3)−4y=8−2y−15

Step 1: Simplify both sides of the equation.

5(2y−3)−4y=8−2y−15

(5)(2y)+(5)(−3)+−4y=8+−2y+−15(Distribute)

10y+−15+−4y=8+−2y+−15

(10y+−4y)+(−15)=(−2y)+(8+−15)(Combine Like Terms)

6y+−15=−2y+−7

6y−15=−2y−7

Step 2: Add 2y to both sides.

6y−15+2y=−2y−7+2y

8y−15=−7

Step 3: Add 15 to both sides.

8y−15+15=−7+15

8y=8

Step 4: Divide both sides by 8.

The value of y is 1

Given the equation 5(2Y - 3) – 4y = 8 – 2y - 15

Expand

10Y - 15– 4y = 8 – 2y - 15

6y - 15 = -7 - 2y

Collect the like terms

6y + 2y = -7 + 15

8y = 8

Divide both sides by 8

8y/8 = 8/8

y = 1

Hence the value y of is 1

Learn more here: https://brainly.com/question/20596193

What is 4 2/3 plus 1 6/9 (simplify)

Answers

Answer:

423

Step-by-step explanation:

Answer:

6 + (1/3)

Step-by-step explanation:

4 + (2/3) + 1 + (6/9)

5 + (2/3) + (2/3)

5 + (4/3)

5 + 1 + (1/3)

6 + (1/3)

using the properties of the special parallelogram, solve for x and y

Answers

Answer:

y = 4

x= 27

Step-by-step explanation:

boom roasted.

Is this a function? Explain your answer in the space below.


Answers

Answer:

Yes, this is a function because all the x values are different.

Step-by-step explanation:

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