The lifespans of meerkats in a particular zoo are normally distributed. The average meerkat lives 10.410.410, point, 4 years; the standard deviation is 1.91.91, point, 9 years.

Use the empirical rule (68-95-99.7\%)(68−95−99.7%)left parenthesis, 68, minus, 95, minus, 99, point, 7, percent, right parenthesis to estimate the probability of a meerkat living less than 16.116.116, point, 1 years.

Answers

Answer 1

Answer:

99.85%

Step-by-step explanation:

The lifespans of meerkats in a particular zoo are normally distributed. The average meerkat lives 10.4 years; the standard deviation is 1.9 years.

Use the empirical rule (68-95-99.7%) to estimate the probability of a meerkat living less than 16.1 years.

Solution:

The empirical rule states that for a normal distribution most of the data fall within three standard deviations (σ) of the mean (µ). That is  68% of the data falls within the first standard deviation (µ ± σ), 95% falls within the first two standard deviations (µ ± 2σ), and 99.7%  falls within the first three standard deviations (µ ± 3σ).

Therefore:

68% falls within (10.4 ± 1.9). 68% falls within 8.5 years to 12.3 years

95% falls within (10.4 ± 2*1.9). 95% falls within 6.6 years to 14.2 years

99.7% falls within (10.4 ± 3*1.9). 68% falls within 4.7 years to 16.1 years

Probability of a meerkat living less than 16.1 years = 100% - (100% - 99.7%)/2 = 100% - 0.15% = 99.85%

Answer 2

Answer:

13.5%

Step-by-step explanation:


Related Questions

Please, help! Help! Help!

Answers

Answer:

HOW DO I ANSWER THIS

Step-by-step explanation:

solve 15=2y - 5 (for homework)

Answers

y=10

2×10=20-5=15

.......

Answer:

y=10

Step-by-step explanation:

15 = 2y - 5

add 5 to both sides

15 + 5 = 2y - 5 + 5

add the numbers

20 = 5y

divide

y = 10

A rope is dropped from the helicopter and it is perpendicular to the ground. What is the distance between Jeremiah and the rope?

Answers

Answer:

About 3000 feet

Step-by-step explanation:

This is a 30,60 90 triangle, all the angles in a triangle adds up to 180.

Use sin ratio

sin 60 = [tex]\frac{o}{4000}[/tex]  o for opposite side of triangle from the 60 degree angle

o = 4000 (sin 60) = 3464.11

Use cosine

cos 30 = [tex]\frac{a}{3464.11}[/tex]   a for adjacent side of triangle from the 30 degree angle

3464.11 (cos 30) = 3000.01

5 x 1/9 x 8
please help

Answers

Answer:

4 4/9

Step-by-step explanation:

Please read short story and answer questions **50 points

Answers

Answer:

Step-by-step explanation:

A  find the main idea

M -1

N -2

B -3

1- C

2-B

3-A

4-C

5- C

Hello, I Am BrotherEye

Answer:

Is This Question Still Require My Attention?

Step-by-step explanation:

14m to 140cm witch is more

Answers

Answer:

14 m is more

Step-by-step explanation:

14 meters = 1400 cm

14 x 100=1400

Answer:

14 m is more

Step-by-step explanation:

1 m = 100 cm

14 m

= 14 x 100

= 1400 cm

1400 cm > 140 cm

14 m > 140 cm

Uehehejjdjdjejjejejjdjdjejejejejejjejejejeejjd

Answers

Answer:

kgkbfkbfbk3grrkmfbhrfikrk

Answer:

thank you for the free point i guess

Step-by-step explanation:

can u mark me brainlest plz

gjnrijnrtibfnsibneifn

What is the slope of the line ?

Answers

Answer:

The slope or gradient of a line is a number that describes both the direction and the steepness of the line.

Step-by-step explanation:

Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.

Which data set has a variation, or mean absolute deviation, similar to the data set in the given dot plot

Answers

Answer:

The anwser is C

Step-by-step explanation:

i did the test

Solve the following equation by completing the square. x2-18x+78=0

Answers

The answer is 10.73 btw hope this helps

The lengths, in cm, of the sides of a triangle are 3x – 5, 2x – 1 and x + 1 (a) Write down an expression, in terms of x, for the perimeter of the triangle.

Answers

Answer: [tex]6x-5[/tex]

Step-by-step explanation:

Given

The side lengths of a triangle are  [tex]3x-5, 2x-1,\text{and}\ x+1[/tex]

Perimeter(P) is the sum of the side length of the triangle i.e.

[tex]\Rightarrow P=3x-5+2x-1+x+1\\\Rightarrow P=6x-5[/tex]

Therefore, the perimeter of the triangle is [tex]6x-5[/tex]

1.2 career planning financial algebra

Answers

Needs more info about your question please

HELP DUE IN 60 MINS!


1. Slope of HE =??


2. Slope of GF =??


3. Slope of HG =??


4. Slope of EF =??

Answers

Answer:

Use coordinates of the vertices and the slope formula.

H(-3, 0), E(1, 4), F(3, 2), G(-1, -2)

1. Slope of HE:

m = (4 - 0)/(1 + 3) = 1

2. Slope of GF:

m = (-2 - 2)/(-1 - 3) = 1

3. Slope of HG:

m = (-2 - 0)/(-1 + 3) = -1

4. Slope of EF:

m = (2 - 4)/(3 - 1) = -1

7.8x = 32.76


Show your work

Answers

Answer:

x=4.2

Step-by-step explanation:

7.8x  =   32.76

/7.8          /7.8

x=4.2





12 + 3y = 21
Expression or Equation:

Answers

It is an equation because it has an equal sign. Whereas an expression does not have an equal sign.

Answer:

equation

Step-by-step explanation:

12 + 3y = 21

-12. -12

__________

3y = 9

y = 3

PLEASE HELP IVE BEEN TRYING FOR HOURS!! - algebra 1

Answers

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

yo i need help with this question please and thank u i need the correct answer to please i will give u a brainliest as well

Answers

V = πr ^2 h
V = π (3)^2 (5)
V = π (9) (5)
V = π 45
V = 141.3 in
141.3 divided by 8 = 17.7

y = x2 + 12x + 30
8x − y

Answers

8x - x2+ 12x +30
6x+12x +30
18x +30

8x- x2 +12x +30
-4x -x2 + 30

If the x2 was a mistake ignore the second one. The first should be correct.

Please help I need to turn this in by today

Answers

Answer:

A

Step-by-step explanation:

Answer:

D) F = 9/5C + 32

Step-by-step explanation:

A restaurant wants to study how well its salads sell. The circle graph shows the sales over the past few days. If 5 of the salads sold were Caesar salads, how many total salads did the restaurant sell?​

Answers

Answer:

20

Step-by-step explanation:

Find the length of each arc. Use the exact answer

Answers

Answer:

Option D = 16π/3 ft

Step-by-step explanation:

Arc length formula is written Mathematically as:

Arc length = 2πr × θ /360

r = 4 ft

θ = Central angle in degrees = 240°

2 × π × 4 × 240/360

8π × 240/360

8π × 20/30

16π/3 ft

So, the arc length is 16π/3 ft

A chemist has a 100 gram sample of a radioactive
material. He records the amount of radioactive material
every week for 6 weeks and obtains the data in the
table below.


look at the picture please <3 i really need this asap

Answers

Answer:

75

Step-by-step explanation:

did it 5 mins ago

|2a+1|=1 plz help and no link

Answers

Answer:

2a+1=1

or, 2a=1-1

or, 2a=0

or, a=0/2

or, a=2

Step-by-step explanation:

please check the answer correct or wrong

Solve for the value of x in the following parallelograms.

Helppp, thanksss:)​

Answers

1) combined total of the degrees should be 360. Opposite angles are congruent. So if one angle is 80 so is the one opposite it. 360-160=200
Then divide by two because u need to find x which is one angle. X is 100
2) opposite sides are congruent so you set them equal.
31=2x-5
-5 -5
26=2x
/2 /2
13=x
3) you set them equal because opposite angles are congruent
x+3=4x-27
-x -x
3=3x-27
+27 +27
30=3x
/3 /3
10 = x

A rectangular prism has a legnth of 9 in., a width of 4 in., and a height of 1 1/2 in.

The prism is filled with cubes that have edge lengths of 1/2 in.

How many cubes are needed to fill the rectangular prism?

Enter your answer in the box.

TO FILL THE RECTANGULAR PRISM, _____ CUBES ARE NEEDED

Answers

Answer:

432 cubes

Step-by-step explanation:

V = 9 x 4 x 1.5 = 54 in³

V = 1/2 x 1/2 x 1/2 = 1/8 in³

54/(1/8) = 432 cubes

Help ASAP pls now and thank u

Answers

Answer:

A)25

Step-by-step explanation:

5 x 5 = 25

Answer:

B.......

because to work out the area of a sphere we use

4 pie (r)²

Skill
Figure A is a scale image of figure B.
Area
Figure A
Area
probi
Quiz
Prace
upo
Figure B
Verti
supp
12
2
Figure A maps to figure B with a scale factor of
7
Unit
Test
What is the value of x?

Answers

Answer:

42

Step-by-step explanation:

you have to do 12 ÷2/7 to get the answer

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Step-by-step explanation:

B the median is less than the mean

Factor each expression completely
4x² + 6x – 40
Show your work!!!

NO LINKS PLS

Answers

Answer:

4x²+6x-40

2(2x²+3x-20) factor out 2

2(2x²+8x-5x-20) split the three into a difference

2(2x(x+4)-5x-20) factor the 2 out of first pair of parenthesis

2(2x(x+4)-5(x+4)) factor the 5 out of second pair of parenthesis

2(x+4)(2x-5) factor

= 2(x+4)(2x-5)

Step-by-step explanation:

i hope this helps :)

convert 3.34 as a fraction in its simplest form​

Answers

Answer:

3 17/50

Step-by-step explanation:

Other Questions
3. How did postwar negotiations at the end of World War I ultimately contribute to the start of World War II? In your response, explain the role of the Treaty of Versailles, the Great Depression, and totalitarianism. 1. You and a friend are hiking through a canyon. You tell your friend that the rock layers in the canyon are all different ages, and you cantell which rock layers are the oldest and which are the youngest. She picks four different rock layers on the canyon wall, as shown in thephotographWhich layer is the youngest?A. Layer 1O B. Layer 2C. Layer 3D. Layer 4 30 POINTS!!! PLEASE ANSWER THE QUESTIONS IN THE PICTURES!!! EACH QUESTION HAS 2 ANSWERS!!!! What is the author's purpose for including the section "Sweets and Snacks" in "U R What U Eat"?to explain that eating snacks adds too many calories to a diet so they should be eliminatedto explain that snacks are essential for keeping one satisfied between mealsto explain that one should limit snacks that are high in fat, calories, and sugarto explain which snacks are healthy and which ones have no vitamin content What was Operation Overlord? a. the Allied invasion of Normandy b. the Soviet offensive against Germany in the east c. the German defense of Western Europe d. the Allied defense of Great Britain Add or remove commas where appropriate. There are 4 errors to be corrected Which is an example of kinetic energy? A. A stretched rubber bandB. WindC. Water in a reservoir D. Natural gasE. An object suspended above the ground make an original sentence using Metaphor/Simile A trapezoid has a height of 3 meters, a base length of 8 meters, and an area of 30 square meters. What is the length of the base? Today's General Assembly of Virginia was originally known as the-aCabinetHouse of Burgessesbc ParliamentdSenate Paige and her family went to the movies. They bought 4 tickets and paid $12for popcom. They spent $40. How much did each ticket cost?Choose two answers: one for the equation that models this situation and onefor the correct answer.A. Answer:$3 B.Equation:12+4x=40C. Equation:4+12x=40D. Answer:$7 100 points!At what point(s) do these graphs intersect? y=x^2 = 3x-5 y=4x+1 Seths solution: y=x^2 +3x-5 y=4x+1 x^2 =3x-5=4x+1 x^2 -x-6=0 (x-3)(x+2)=0 x=3 and x=-2 The graphs intersect at (-2,0) and (3,0).Is Seth's solution correct? Explain. Help a #QUEEN out PLSSSS!!! Bacteria are only able to be produced from other bacteria already existing on earth. Which theory best describes this? giving brainliest!! *easy* A planet has less mass than a galaxy and more mass than the star it orbits.TrueFalse the provided balanced equation applies to the reaction that takes place between lithium, hydroxide and sulfuric acid. 2LiOH + H2SO4 --> Li2SO4 + 2H2O. If the reaction begins with 26.7 grams of lithium hydroxide (LiOH) and 164.048 grams of sulfuric acid (H2SO4), how many grams of lithium sulfate (Li2SO4) is produced? Assume 100% yield. Round your answer to the nearest tenth of a gram a stock analyst wants to use a dividend pricing model to value stock. the analyst believes will pay its first dividend in exactly 15 years, and she is guessing that the dividend will be $10.00 per share at that time. the analyst assumes that dividends will grow by 5% per year going forward after year 15. the required return to hold is estimated to be 12% per year. based on these assumptions, what is the intrinsic value of stock today Can you answer this? 99^9 66 it kinda hard for me helpp?!?please i will give you cookie