Mathematics High School

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

Answer:

The probability of a gorilla living less than 23.9 years is 0.84 (84%)

Step-by-step explanation:

Related Questions

help please number 7!! it’s using the pythagorean theorem

Answers

Do 16 divided by 22 if I’m not wrong

Solve: 5 + x = 3( x - 7) + 6

Answers

Answer:

x=10

Step-by-step explanation:

Step-by-step explanation:

5+x=3(x-7)+6

5+x-3x+21-6=0

-2x+20=0

-2x=-20

x=-20/(-2)

x=10

Erik used the Factor Theorem to find the remainder of 2x3-4x2-28x+6 divided by x+3. If he calculated the remainder to be 0, what does that tell him?

Answers

Step-by-step explanation:

x + 3 = 0

x = - 3

f(x) = 2x³ - 4x² - 28x + 6

f(- 3) = 2(- 3)³ - 4(- 3)² - 28 x (- 3) + 6

= 2 x (- 27) - (4 x 9) + 84 + 6

= - 54 - 36 + 90

= - 90 + 90

= 0

Therefore,

x + 3 is factor of 2x³ - 4x² - 28x + 6

Help me on this pleaseeee

Answers

Answer:

Step-by-step explanation:

14.4

Due today! 20 points!

1. The fifth term of an arithmetic sequence is 9 and the 32nd term is -84. What is the 23rd term?

2. How many terms of the arithmetic sequence 88, 85, 82, . . . appear before the number -17 appears?

Please number the answers

Answers

Answer:

Consider the finite arithmetic sequence,

Use the explicit formula for an arithmetic sequence,

...... (83.84.94.92.91.100

First term of the sequence is

Answer:

1. -53

2. 35 terms

Step-by-step explanation:

please help and do problems 6, 7 and 8 for me thank you :)

Answers

Use formula : Y-y1=m(x-x1)
(x1,y1) = the points given in each situation

6. Y-0=1(x-2)
Y=x-2 or x-y-2=0

7. Y-(-1)= -1/3(x-(-3))
Y+1= -1/3x + 1
3y=-x or x+3y=0

8.Y-4=3(x-5)
Y-4= 3x - 15
Y=3x -11 or 3x-y-11=0

10
5. Dylan's dad sells golf balls online. He sells 4/5 of the golf balls. Which
fraction is equivalent to 4/5? *
O 1/5 + 1/5 + 1/5
O 1/5 + 1/5 + 2/5
2/5 + 2/5 + 1/5
O 1/5 + 1/5 + 1/5 + 1/5 + 1/5
This is a required question

Answers

the second one I believe but im not the greatest at math so dont trust me

Its the second choice the /5 dosent change only the number in front

Ruben bought 6 comic books for 21. Each comic book was the same price.
What was the cost for 111 comic books?

Answers

Step-by-step explanation:

Firstly get the price for 1 comic book

21÷6 = 7/2 or 3.5

3.5 × 111books = 388.5

Will Give brainliest if correct!
Jamin wants to paint a wall in his bedroom. In order to know how much paint to buy, he first needs to know the approximate area. There is a window in the middle of the wall, so he'll only need to paint the shaded part shown. How many square feet is just the window? [Note: The wall and window are both rectangular.]



7 ft 2
1.5 ft 2
36 ft 2
3 ft 2

Answers

Answer:

247.5 ft

Step-by-step explanation:

36 x 7 = 252

3 x 1.5 = 4.5

252-4.5= 247.5 ft

Answer:

3 ft^ 2

Step-by-step explanation:

mark me brainy plz and thank u

64,000 km in 2 hours. Express its speed in m/s.

Answers

Answer: 5.5m/s

Explanation:

The formula for converting miles into feet is F = 5280m. If m = 12, evaluate this to find F, how many feet are in 12 miles. (Write the full equation, and then substitute for m.) *

Answers

Answer:

63360 feet

Step-by-step explanation:

The formula for converting miles into feet is F = 5280m. If m = 12, evaluate this to find F, how many feet are in 12 miles. (Write the full equation, and then substitute for m.) *

From the above question, we are given the expression:

F = 5280m

Where

F = Number of miles in feet

If m = 12 miles, the number of feet is calculated as:

F = 5280 × 12 miles

F = 63360 feet

Milan runs each lap in 4 minutes. He will run at least 28 minutes today. What are the possible numbers of laps he will run today?
Use n for the number of laps he will run today.
Write your answer as an inequality solved for n.

Answers

Answer:6n+4=28

n=6

I think this is how you do it.

Victoria and Georgetown are 67.2 miles from each other. How far apart would the cities be on a map that has a scale of 0.9 inches : 10.5 miles?

Answers

Answer: 5.76 miles

Step-by-step explanation:

Let the distance between Victoria and Georgetown on the map be represented by x.

The information given in the question can then be formed into an expression which will be:

0.9/x = 10.5/67.2

Cross multiply

(10.5 × x) = 67.2 × 0.9

10.5x = 60.48

x = 60.48/10.5

x = 5.76

The answer is 5.76 miles

The overnight low temperature in Cassidy City was -27 Fahrenheit. The overnight low temperature in Shakerville was -6 Fahrenheit. How much warmer was shakerville than Cassidy City?

Answers

Answer:

Shakerville 21° warmer

Step-by-step explanation:

-27 + -6 = 21

PLS DO BOTH PROBELMS

Answers

1.) 510 miles

Take the values you have been given which is 153 miles and 3 gallons of gas

Now divide 153 by 3 to find put the Miles per gallon (MPG)

153/3=51

now take 51 and multiply it by 10

51x10=510

2.) $16 per yard of plywood

Let's take the values we have been given

3/4 of a yard of plywood and $12 for it

Now let's divide it

12/ 3/4=$16

A line passes through the points (4, -18) and (1, 3). What is its equation in slope-intercept
form?

Answers

Answer:

The slope intercept form is y= 7x -4

A frozen yogurt shop surveyed 20 customers on their favorite yogurt flavor. Four chose peanut butter, 6 chose vanilla, 8 chose chocolate mint, and 2 chose lemon. A customer from this group is selected at random. What is the probability that the customer’s favorite flavor is peanut butter?
PLEASE HELP

Answers

Answer:

20%

Step-by-step explanation:

4 in 20 chance

How much is 4 out of 20 written as a percent value? Convert fraction (ratio) 4 out of 20

Answer: 20%

What is the next term of the geometric sequence?
135,45,15,?

Answers

Answer:

5

Step-by-step explanation:

135/3 = 45

45/3 = 15

15/3= 5

hope this helps! please mark brainliest :)

Of 18 possible​ books, you plan to take 7 with you on vacation. How many different collections of 7 books can you​ take? You can take nothing different collections of 7 books on vacation with you.

Answers

Answer:

31,827 ways

Step-by-step explanation:

Total number of books, n = 18

Number of books to be selected, r = 7

Since, the order of arrangement doesn't matter ;

We use the combination formula :

nCr = n! ÷ (n-r)! r!

18C7 = 18! ÷ 11!7!

18C7 = (18*17*16*15*14*13*12) ÷ (7*6*5*4*3*2*1)

18C7 = 160392960 / 5040

18C7 = 31,827 ways

Can you guys please help me please

Answers

Answer:

HF and EG

Step-by-step explanation:

Perpendicular means they make a 90 degree angle, so in the middle you see the 90 degree angle sign which means those two segments are the ones that are perpendicular to each other

What is the value of 8m + 5n when m = 4 and n = 10?

Answers

Answer:

82

Step-by-step explanation:

m = 4

8m = 4 x 8 = 32

n = 10

5n = 5 x 10 = 50

32 + 50 = 82

What is 12​x​ + 5 = 6​x​ + 17

Answers

Answer:

x=2

Step-by-step explanation:

PLS HELP Select all the expressions that represent the total area of this rectangle.

Answers

It is going to be Answer D


i need help with this question
7.035 ÷ 7 = ​

Answers

Answer:

1.005

Step-by-step explanation:

Here you go this the answer

Answer:

1.005 is the answer to your question

The table represents a linear function. Write a rule for this function in the
form of y = mx + b. Then using your function rule find the missing output values.

Answers

Answer:

function is f(x) = x+6

and the missing outputs are 19, 24 and 27

Help me ASAP!!!!!!!!!!!!!!!

WINNER GETS THANKS, STAR RATING OF EXCELLENT AND BRAINLIEST!!!!!!!! Good luck!

Answers

Answer:

reciprocal of 5 is 0.2.

hope it helps you

can someone help ill give more points

Answers

The answer is 6!!!!!!!!!

What is the average speed in mph of a car that travels 290miles in 3 hours and round to the nearest 2dp

Answers

96.67 mi/hr

290/3≈96.666

Can anyone answer this?

Answers

Answer:

n= 6. hope this helped as I tried my best.

Step-by-step explanation:

2³ × 2^n = 2⁹

A box holds three circular flower pots, each with the same diameter. What is the exact area of the base of one pot? Show your work.( the length of the box is 15 in.)

Answers

19.635 square inches.

Assuming that the pots are arranged in a straight line, each pot would have a diameter of 5, because 5 • 3 = 15, and 15 is the length of the box. The radius of the base of one pot is therefore 2.5.
A = pi • r^2 = pi • 2.5^2 = 19.635 (approximation)
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