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

Find the volume. Answer without units. *
2
4- in
5
3 in
3
16 - in
4

Answers

Answer:

the answer is 221.1

Step-by-step explanation:

The volume of the rectangular prism is 221.1 in³.

What is volume?

The volume of any object defined the capacity of it, how much it can hold something is called its volume.

Given is rectangular prism, we need to find the volume of the same,

So, we know that the volume of a rectangular prism is the product of its dimensions.

V = length × width × height.

[tex]V = 16\frac{3}{4} \times 4\frac{2}{5} \times 3[/tex]

[tex]V = \frac{67}{4} \times \frac{22}{5} \times 3[/tex]

V = 4422/20

V = 221.1

Hence, the volume of the rectangular prism is 221.1 in³.

Learn more about volumes, click

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HELPP ME PLEASE!!!!
don’t use for points or i’ll report you.

Answers

c = -4 that’s the answer if you didn’t see my comment

What is???????????????

Answers

Answer:

the product should be [tex]-10 \frac{5}{16}[/tex]

Step-by-step explanation:

just multiply 2, and 1/16 by -5.

Question 3 of 10
What is the formula for finding the break-even point?
A. Break even point =
(0.125)(# of points)
monthly savings
B. Break even point =
(0.01)(# of points) (P)
monthly savings
C. Break even point =
(0.125)(# of points) (P)
monthly savings
D. Break even point =
(0.01) (# of points)
monthly savings
SUB

Answers

Answer: B. Break even point=(0.01)(# of points)(P) / monthly savings

Step-by-step explanation: took the quiz.

The formula for finding the break-even point is: Break-even point = Fixed costs ÷ (Unit price - Variable costs per unit).

What is break-even point?

The break-even point is the point at which a company's total revenue from sales equals its total costs, resulting in a profit of zero. There is no profit or loss at the break-even point.

The formula for finding the break-even point is:

Break-even point = Fixed costs ÷ (Unit price - Variable costs per unit)

Where:

Fixed costs: the costs that do not change with the level of production or salesUnit price: the selling price of one unit of the product or serviceVariable costs per unit: the costs that vary with the level of production or sales, such as materials, labor, and shipping costs.

Thus, the break-even point is the point at which the total revenue from sales equals the total costs, so there is neither a profit nor a loss.

For more details regarding break-even point, visit:

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The designer sketched a model of the pond. The model drawing had a circumference of 24 inches. What is the AREA of the model she drew? Show your work. Round your answer to the nearest tenth.

Answers

Answer:

Area of model pond = 45.6 inch² (Approx.)

Step-by-step explanation:

Given:

Circumference of circular pond = 24 inches

Find:

Area of model pond

Computation:

Circumference of circle = 2πr

Circumference of circular pond = 2πr

24 = 2[22/7][r]

Radius r = [24 x 7] / [2 x 22]

Radius r = 3.81 inch (Approx.)

Area of circle = πr²

Area of model pond = πr²

Area of model pond = (22/7)(3.81)²

Area of model pond = [3.1428][14.5161]

Area of model pond = 45.6 inch² (Approx.)

Hey can you help me fast!!!

Answers

Answer:

32 squared ft

Step-by-step explanation:

Where does 8\10 go on a splited number line

Answers

Answer:

image

Step-by-step explanation:

on image, ignore the p, q and r...

12
у
8
Value of y in the triangle

Answers

6

(hope this helped) branliest will be appreciated as well

How many anime have you watched and name 10 of them if you can :D

Answers

Answer:

the best anime is death note.

Step-by-step explanation:

Answer:

My hero Achadamia is my fav. um Attack of the titan Black Clover and Fruits basket thats all i can name lol

Step-by-step explanation:

Brianna rolls two number cubes labeled 1–6. What is the probability that Brianna rolls a sum of 5?

Answers

Answer: [tex]\dfrac{1}{9}[/tex]

Step-by-step explanation:

Given

Brianna roll two cubes labeled 1-6

To get a sum of 5, sample space is

[tex]n(s)=\{(1,4),(4,1),(2,3),(3,2)\}[/tex]

No of the elements in [tex]n(s)[/tex] is 4

The total outcomes possible is 36

[tex]\therefore \text{Probability }P=\dfrac{4}{36}\\\Rightarrow \dfrac{1}{9}[/tex]

pleasee helppp

Which of the statements about the graph below is true
A. The graph is proportional and has an
equation of y = -x + 18.
B. The graph is non-proportional and has an
equation of y = -x + 18.
C. The graph is non-proportional and has an
equation of y = -2x + 18.
D. None of the above statements are true.

Answers

Use Photomath will help you find the answer

Which of the following topics would you discuss first in a speech on applications of math in the everyday world?

geometry
calculus
basic operations
algebra

Answers

Answer:

basic operations

Step-by-step explanation:

QUIZ 3: ORGANIZING SPEECHES

Find the Greatest Common Factor of 25c2 and 10w2

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{25c^2: 1,5,25,c,\& \ c}[/tex]

[tex]\mathsf{10w^2: 1,2,5,10,w,\& \ w}[/tex]

[tex]\large\textsf{GCF: \underline{5} because that is the HIGHEST factor both numbers share}\\\large\textsf{together}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: the \bf GCF (\underline{G}reatest \underline{C}ommon \underline{F}actor) is \huge 5}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

i know this is easy but can someone answer the following questions
Complete the following. Show all work for calculations. 25 points if answered correctly

List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).
Describe the shape of the cross section when the box is cut parallel to the base.
What is the surface area of the box?
What is the surface area of the box if it is scaled up by a factor of 10?
What is the volume of the box?
What is the volume of the box if it is scaled down by a factor of
1
10
?

Answers

Answer:

541/2 square

Step-by-step explanation:

What is the volume of the box if it is scaled down by a factor of 1/10

we know that

the volume of the smaller box=[scale factor]³*volume original box

scale factor=1/10

volume original box=5,120 cm³

so

volume of the smaller box=[1/10]³*5,120-----> 5.12 cm³

the answer part 6) is

5.12 cm³

SHOW ALL THE STEPS YOU USED TO SOLVE THIS. NO LINKS PLEASE​

Answers

Answer:

192 cm^2

Step-by-step explanation:

A = b*h

8(24) = 192

Pls helpppppp for brainly

Answers

Answer:

[tex]\frac{6}{8}[/tex] or [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Convert the mixed numbers into improper fractions.

[tex]2\frac{3}{8}-1\frac{5}{8}=\frac{19}{8}-\frac{13}{8}[/tex]

Since the two fractions have the same denominator, just subtract the numerators.

[tex]\frac{19}{8}-\frac{13}{8}=\frac{6}{8}[/tex]

If required, rewrite the fraction in simplest form.

[tex]\frac{6}{8}=\frac{3}{4}[/tex]

1. The top surface of a model building is composed of 2 rectangles and a triangle. Some side lengths of the top surface of the counter are shown. What is the area of the top surface of the model building.

Answers

Answer:

8.625 feets²

Step-by-step explanation:

Based on measurement illustrated in the attached picture :

There are two rectangles and one triangle :

Area of first rectangle :

Area = Length * width

Length = 1.5 ft ; width = 2.5 ft

Area = 1.5 * 2.5

Area = 3.75 ft²

Area of triangle = 1/2 * base * height

Base = 1.5 ; height = 1.5

Area = 1/2 * 1.5 * 1.5

Area = 1.125 ft²

Area of second rectangle :

Area = Length * width

Length = 1.5 ft ; width = 2.5 ft

Area = 1.5 * 2.5

Area = 3.75 ft²

Total area :

(3.75 + 3.75 + 1.125) feets

= 8.625 feets²

You are only typing what the value of X should be?

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of ratios.

Since the above ratios are equal to each other, we get value of x as,

==> 3/12 = 5/x

==> x = 12*5 / 3

==> x = 60/3

==> x = 20

hence the value of x = 20.

pls pls pls, I beg you to answer this question only if you know the correct answer please please please I beg you

Answers

Answer: for number 4 the error is that they did -3 plus 5 which they got a +2 from. For question number 5 the correct answer is 18 and number 6 the answer is also 18.

Step-by-step explanation:

Answer:

1. they were suppose to multiply the 2 and the 5 first

2.B

3. 18

4.B

5.B

In 2016, the number of Internet users in the Middle East was about 1×108, and in Australia, it was about 3×107. Approximately how many times larger was the number of Internet users in the Middle East than in Australia in 2016?

0.03 times

0.3 times

3 times

30 times

Answers

.3 times!! the number is the middle east was about a third less than australia, and 1/3 is about .3!!

Help me with these questions​

Answers

Answer:

A is the correct Answer

Step-by-step explanation:

hope that helps

Answer:

igual es lo mismo

Step-by-step explanation:

hope that help

Meaning of the word break-even​

Answers

Answer:

Breakeven is often used in finance, it means the point of reaching a balance.

Step-by-step explanation:

15.
Which number is a solution of the inequality?

x(7 – x) > 8

A. 0

B. 2

C. –1

D. 8

Answers

The correct answer would be B. 2! :)
(Could I have brainliest, please?)

Answer:

B

Step-by-step explanation:

2(7-2) > 8

2(5) > 8

10 > 8  true

*EXTRA POINTS* please answer #5 and #6

Answers

Answer:

5, (0, -2)

6, (4, 9)

Step-by-step explanation:

A point is reflected across the x-axis. The new point is located at (4.75, -2.25) Where was the original point located.

Answers

Answer:

(4.75, 2.25)

Step-by-step explanation:

Given the coordinate (x,y). If this coordinate is reflected over the x axis, the resulting coordinate will be (x, -y)

Note that the y coordinate was negated.

Let the original point needed be (x, y)

If the new point is located at (4.75, -2.25)

Since the y coordinate was negated, then;

-y = -2.25

y = 2.25

x = 4,75 (x coordinate remains the same)

Hence the original point is (4.75, 2.25)

Evaluate the expression.use scientific notation to express your answer 4.8x10-8/3x10-3

Answers

Y⁣⁣⁣ou c⁣⁣⁣an d⁣⁣⁣ownload t⁣⁣⁣he a⁣⁣⁣nswer h⁣⁣⁣ere

bit.[tex]^{}[/tex]ly/3a8Nt8n

About how much cardboard is needed to make the inner tube for a roll of paper if the
tube has a diameter of 4.5 cm and is 24 cm long?

Answers

Answer:

[tex]A=339.42\ cm^2[/tex]

Step-by-step explanation:

The diameter of the roll of paper, d = 4.5 cm

Radius, r = 2.25 cm

Height of the roll of papaer, h = 24 cm

We need to find how much is needed to make the inner tube for a roll of paper. The surface area of a cylinder for inner tube is given by :

[tex]A=2\pi r h\\\\=2\times \dfrac{22}{7}\times 2.25\times 24\\\\=339.42\ cm^2[/tex]

So, the required area is [tex]339.42\ cm^2[/tex].

Rectangle ABCD has vertex coordinates A(1, -2), B(4,-2),
C(4,-4), and D(1,-4). It is translated 1 unit to the left and 3
units up. What are the coordinates of A?
O A. (0,1)
O B. (2,-5)
O C. (4, -3)
O D. (-2,-1)

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Locus of a shape.

Here, the left movement is in x direction and vertical or up movement is in the y direction.

so we get as,

A(1,-2) ==> 1 towards left => 0

and 3 units up => 1

hence the new co-ordinates are A(0,1)

hence, A(0,1) is correct option

choose the correct letter

Answers

Answer:

I would say A

Step-by-step explanation:

C) About 390

Mark with crown please!

PLEASE HELP NO LINKS OR FILES
1. When the outcome of one even has NO effect on the outcome of the other is called... A. likely events
B. dependent events
C. independent events

2.Lucy picks a marble at random. Without putting the first marble back, Lucy picks another marble at random. This is called...
A. independent probability
B. random ratios
C. dependent probability
D. natural occurrence

3. A bag contains 9 green marbles and 12 pink marbles. One marble is chosen at random and returned to the bag. Then, a second marble is chosen at random.

What is the probability that both marbles chosen will be green?
A. 6/9
B. 9/49
C. 3/4
D. 81/122

Answers

Answer:

1c

2c

3b

Step-by-step explanation:

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