Caroline has a unique pet chimpanzee that is relatively likely to have twins. Each pregnancy is independent, and
Caroline's chimpanzee has a 60% chance of having 1 baby and a 40% chance of having 2 babies each
pregnancy
If X is a random variable that represents the total number of chimpanzee babies if Caroline's chimpanzee gets
pregnant twice, drag the bars to graph the probability distribution for all possible values of X.

Answers

Answer 1

Answer: 2=.36, 3=.48, 4=.16

Step-by-step explanation:

If we let "S" represent 1 baby and "D" represent 2 babies, the sample space for the chimpanzee's 2 pregnancies is {SS, SD, DS, DD}.

We can find the probability of each possible outcome by multiplying the probability of the independent events leading to that outcome.

Outcomes:. Probability:

SS. .60 x .60 = .36

SD. .60 x .40 = .24

DS. .40 x .60 = .24

DD. .40x .40 =.16

Total. 1.00

Lastly group the similar outcomes. SD+DS= .48


Related Questions

8 men can complete the project in 24 days in how many days 12 men can complete the same project

Answers

Answer:

16days

Step-by-step explanation:

This is an inverse proportionality

Let the number of men be m

Let the time taken in days be d

Hence m ∝ 1/d

m = k/d

If 8 men can complete the project in 24 days, then;

8 = k/24

k = 8*24

k = 192

To determine the time it will take 12 men to complete the same job, we will say;

m = k/d

12 = 192/d

d = 192/12

d = 16

Hence it will take 12men 16days to finish the same job

808 - 589 what is the answer I need help


(I'm just trying to see if anybody here smart)​

Answers

219hhhhhhhhhhhhjjsisusywbs

☁️ Answer ☁️

Find out who owns any 808-589 phone number. Get name, address, relatives, court records for the registered owner. (Nah jk)

The answer is:

219

Explanation: I used my eyes, fingers, and a calculator.

Hope it helps.

Have a nice day noona/hyung

Clumsy Carl is running a marathon. There are 3 dangerous areas on the course, and Clumsy Carl approximates
that he has a 50% chance of falling at each spot, independent of if he falls at the other spots.
The table below shows the total number of people that will see Carl fall based on how many times he falls.
What is the expected total number of people that will see Carl fall?
Round your answer to the nearest hundred.

Answers

Answer:600

Step-by-step explanation: Khan Academy

Can someone help me with this pls [cry]

Answers

Answer: B

Step-by-step explanation:

JUST DID A QUIZ WITH IT

how a single number could be a ratio?

Answers

Step-by-step explanation:

For example, the number 5 can be written as [tex]\frac{5}{1}[/tex] . And that [tex]\frac{5}{1}[/tex] can also be written as 5:1, which is a ratio. By converting the single number to a fraction, then converting the fraction into a ratio, you can turn a number into a ratio.

Hope this helps.

Given the data set, calculate the range and the mode:


{9, 3, 1, 8, 3, 6}

Answers

I believe the range is 8 because the biggest number minus the smallest number which is 9-1 and the mode is 3 because it is the number that repeats more than one time.

What part of a
a dozen is 8?​

Answers

Answer:

8 Dozen eggs would mean, 8 X 12 = 96 eggs

Step-by-step explanation:

Answer:

[tex]\frac{2}{3}[/tex]

or

0.67

Step-by-step explanation:

a dozen is 12

12/4 = 3

8/4 = 2

8 is 2/3 of a dozen(12)

2/ 3 = 0.66666666666667 which is about 0.67

In the right triangle shown, find x.
PLEASE HELP!!!!

Answers

Cos40= adjacent/ hypotenuse
Cos40=10/x
x=10/cos40 or choice A

This is the graph of f(x). What is the value of f(2)?
10-+
Ο Α. 16
Β. 2
C. 4
D. 8

Answers

Answer:

b

Step-by-step explanation:

PLZ HELP I WILL MAKE YOU BRAINLIEST NO FAKE LINKS

Answers

Answer:

1/30 of an hour

Step-by-step explanation:

A population of bacteria in a petri dish is modeled by the function p(x)=88x , where x is the number of hours that have elapsed since the bacteria was introduced to the petri dish.

When will there be fewer than 512 bacteria?

Enter your answer rounded to the nearest hundredth in the boxes.

Answers

Answer:

3.14

Step-by-step explanation:

The answer is going to be 3.14

Hope it helps!

Use a formula to find the are.​

Answers

The area of is: 200 cm^2

The quadratic function h is shown on the graph. If the graph is h(x) = (3/5 ) (x – d)(x + 6), what is the value of d?
Answers ↓

(A) -14
(B) 14
(C) -60
(D) 42/5​

Answers

9514 1404 393

Answer:

  (B)  14

Step-by-step explanation:

"d" is a value that makes the function be zero. The x-intercepts (zeros) of the function are at x=-6 and x=14, corresponding to factors (x +6) and (x -14). The (x+6) factor is already given in the equation, so we must conclude d=14.

9. Complete the following equation using <,>, or =
100% _1
O A. >
O B. <
O C. =

Answers

Answer:

C. =

Step-by-step explanation:

Two ways to think about this problem:

1st way: 100% and 1 are all a whole, therefore, they are equal.

2nd way: 1=1/1. Multiply the denominator and the numerator by 100, 1/1=100/100=100%

I need help and it’s due soon

Answers

Answer:

Point A

Step-by-step explanation:

Answer:

point A

Step-by-step explanation:

The point A is opposite with the point R and the x-axis is between them.

HELP ASAP!!! A spinner has three sections colored green, purple, and pink. If the spinner is spun twice, how many branches would the tree diagram that represents this situation have? 6 5 9 12

Answers

Answer:

The answer is 9.

Answer:

The answer is 9

Step-by-step explanation:

I got it right on the quiz

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

Answer:

Coordinates switch, and the new y-coordinate changes sign

Explanation:

We have point A with the coordinates (-1,2), when we rotate it c90º it becomes (2,1).

What happened? The coordinates switched and the x-coordinate of A (-1) became the y-coordinate of A' (1) and it changed its sign.

Answer:

A. The coordinates switch and the new x-coordinate changes sign

Step-by-step explanation:

Hope this helps! ✌️

You have collected weekly earnings and age data from a sub-sample of 1,744 individualsusing the Current Population Survey in a given year. Given the overall mean of $434.49and a standard deviation of $294.67, construct a 99% confidence interval for averageearnings in the entire population. State the meaning of this interval in words, ratherthan just in numbers. If you constructed a 90% confidence interval instead, would itbe smaller or larger? What is the intuition?

Answers

Answer:

The 99% confidence interval for average weekly earnings in the entire population is between $416.42 and $452.66. This means that we are 99% sure that the true population mean weekly earnings is between these two values.

Due to the smaller margin of error, the confidence interval would be smaller, that is, less likely to contain the true population mean.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.575\frac{294.67}{\sqrt{1744}} = 18.17[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 434.49 - 18.17 = $416.42

The upper end of the interval is the sample mean added to M. So it is 434.49 + 18.17 = $452.66

The 99% confidence interval for average weekly earnings in the entire population is between $416.42 and $452.66. This means that we are 99% sure that the true population mean weekly earnings is between these two values.

If you constructed a 90% confidence interval instead, would it be smaller or larger? What is the intuition?

For a 90% confidence interval, we would have z = 1.645.

Looking at the margin of error formula, M and z are direct proportional, that is, as z decreases so does M. Due to the smaller margin of error, the confidence interval would be smaller, that is, less likely to contain the true population mean.

Jackson has 180 pieces of gum. He wants to share the pieces equally with his friends. Which table shows the relationship between n, the number of people who received gum, and p the number of pieces of gum each person receives?

Answers

Answer:

Step-by-step explanation:

someone please help me answer this!!!

Answers

Answer:

15 using the Pythagorean theorem.

hope it helps, plz mark me as brainliest.

Answer:

15 units is the answer.

Step-by-step explanation:

points are (-3,-4) and (6,8)

Pythagorean theorem can be written as,

[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(6-(-3))^2 + (8-(-4))^2}\\\\d=\sqrt{(9)^2+(12)^2} \\\\d=\sqrt{81+144} \\\\d=\sqrt{225} \\\\d=15[/tex]

∴ d = 15 units is the distance between the points.

The lengths of nails produced in a factory are normally distributed with a mean of 4.95 centimeters and a standard deviation of 0.05 centimeters. Find the two lengths that separate the top 5% and the bottom 5%. These lengths could serve as limits used to identify which nails should be rejected. Round your answer to the nearest hundredth, if necessary.

Answers

Answer:

The length that separates the bottom 5% is of 4.87 centimeters.

The length that separates the top 5% is of 5.03 centimeters.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 4.95 centimeters and a standard deviation of 0.05 centimeters.

This means that [tex]\mu = 4.95, \sigma = 0.05[/tex]

Bottom 5%:

The 5th percentile, which is X when Z has a pvalue of 0.05. So X when Z = -1.645.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.645 = \frac{X - 4.95}{0.05}[/tex]

[tex]X - 4.95 = -1.645*0.05[/tex]

[tex]X = 4.87[/tex]

The length that separates the bottom 5% is of 4.87 centimeters.

Top 5%:

The 100 - 5 = 95th percentile, which is X when Z has a pvalue of 0.95. So X when Z = 1.645.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.645 = \frac{X - 4.95}{0.05}[/tex]

[tex]X - 4.95 = 1.645*0.05[/tex]

[tex]X = 5.03[/tex]

The length that separates the top 5% is of 5.03 centimeters.

what is the place value of 5 in . number 4 256​

Answers

Answer:

4 2 5 6

Ones : 6

Tens : 5

Hundreds : 2

Thousands : 4

Step-by-step explanation:

hope I'm right

The area of a triangle is 174 square inches. The base is 29 inches. What is the height in inches? Do not include units in your answer.

Answers

Answer:

Your answer would be 6

Step-by-step explanation:

Area=174

Base=29

174 divided by 29

Equals 6

6 times 29

Equals 174

So since 29 times 6 gave you 174 which is your area, your answer would be 6 since it is the missing height to your problem.

:)

Answer: 12

Step-by-step explanation:

We can use the formula for the area of a triangle, to help us find the height:

Area=12⋅b⋅h

Using the formula for area, we can solve for the height by plugging in the information we have about the area and the base:

174=12⋅29⋅h

Isolate h by multiplying both sides by 2 and dividing both sides by 29.

hh=2⋅17429=12

The height is 12 inches.

tank a has 100 gallons of water and is being filled at a rate of 2 gallons per hour. tank b has 140 gallons and is being drained at a rate of 6 gallons per hour. how many hours must pass in order for the total amount of water in tank A and B to be the same.

Answers

Answer:

5 hours must pass

Step-by-step explanation:

Graph the equations y = 2x + 100 and y = -6x + 140

Then find the x intercept of their intersection, in this case, that is 5

4z + 8 - 6=

7z ÷ 4 + 5x=

y² ÷ (3z) =
I NEED HELP :(​

Answers

Answer:

1: 14z+2

2: 7z/4 + 5x

3: y²/3z


Please help! *no links* GIVING BRAINIEST

Answers

Answer:

6) D

7) B

8) J

9) A

10) A

11) L

12) I

Step-by-step explanation:

Hope this helped :)

A vacuum flask (for keeping drinks hot) is modelled as a closed cylinder in which the internal radius is r cm and the internal height is h cm.
The volume of the flask is 1000 cm³. A flask is most efficient when the total internal surface area, A cm², is a minimum.

(i) Show that A = 2π2²+ 2000/2

(ii) Given that r can vary, find the value of r, correct to 1 decimal place, for which A has a stationary value and verify that the flask is most efficient when r takes this value.

Answers

(i) To find the total internal surface area, we need to calculate the area of the curved surface and the areas of the top and bottom circles.

The curved surface area of the cylinder is given by the formula:

A_curved = 2πrh

The area of the top and bottom circles is given by the formula:

A_circles = 2πr²

The total internal surface area is the sum of the curved surface area and the areas of the top and bottom circles:

A = A_curved + A_circles

= 2πrh + 2πr²

Given that the volume of the flask is 1000 cm³, we have the equation:

πr²h = 1000

Solving for h, we get:

h = 1000 / (πr²)

Substituting this value of h into the equation for A, we have:

A = 2πrh + 2πr²

= 2πr(1000 / (πr²)) + 2πr²

= 2000/r + 2πr²

Simplifying further, we get:

A = 2000/r + 2πr²

= 2πr² + 2000/r

(ii) To find the value of r for which A has a stationary value, we differentiate A with respect to r and set the derivative equal to zero.

dA/dr = 4πr - 2000/r² = 0

Multiplying through by r², we get:

4πr³ - 2000 = 0

Solving for r, we have:

4πr³ = 2000

r³ = 2000 / (4π)

r = (2000 / (4π))^(1/3)

Calculating this value to one decimal place, we get:

r ≈ 3.4 cm

To verify that the flask is most efficient when r takes this value, we need to check the second derivative of A with respect to r.

d²A/dr² = 12πr² + 4000/r³

Substituting the value of r, we have:

d²A/dr² = 12π(3.4)² + 4000/(3.4)³

Calculating this value, we find that it is positive, indicating a minimum. Therefore, the flask is most efficient when r ≈ 3.4 cm.

A pair of jeans is on sale for 20% off. The sale price is $55.00. What is the original amount of the pair of jeans?

Answers

Answer:

$86.75 i think

Step-by-step explanation:

A study was performed to investigate whether teens and adults had different habits when it comes to consuming meat-free meals. In particular, the researchers were interested in the relationship between p1, the proportion of teens who would report eating at least one meat-free meal in the past week, and p2, the proportion of adults who would report eating at least one meat-free meal in the past week. A random sample of 875 teens and a separate random sample of 2,323 adults found that 555 of the teens and 1,601 of the adults reported eating at least one meat-free meal in the past week. The conditions for inference were checked and verified. What is the correct set of hypotheses the researchers should test in this scenario

Answers

Answer:

H₀ should be rejected at CI 95% .

Then the proportion of adults with 95 % CI is bigger than the proportion of teen

Step-by-step explanation:

From adult sample:

n₂ = 2323

x₂ = 1601

p₂ = 1601 / 2323         p₂  = 0,689       or    p₂ = 68,9%

From teen sample:

n₁ = 875

x₁ = 555

p₁ = 555/ 875           p₁  = 0,634          or    p₁  = 63,4

Values of p₁  and  p₂   suggest that the proportion of adults consuming at least one meat free meal per week is bigger than teen proportion.

To either prove or reject the above statement we have to develop a difference of proportion test according to:

Hypothesis test:

Null Hypothesis                   H₀             p₁  =  p₂

Alternative Hypothesis       Hₐ             p₂  > p₁

So is a one-tail test to the right

We can establish a confidence interval of 95 % then  α = 5 %

or    α = 0,05

As the samples are big enough we will develop a z test

Then  z(c)  for α = 0,05   from z table is     z(c) = 1,64

To calculate z(s)

z(s) = ( p₂  -  p₁ ) / √p*q* ( 1/n₁  + 1/n₂ )

where p = ( x₁ + x₂ ) / n₁ + n₂       p = 555 + 1601 / 875 + 2323

p = 2156/3198       p = 0,674

and   q = 1 - 0,674        q = 0,326

z(s) = ( 0,689 - 0,634 ) / √0,674*0,326 ( 1/875 + 1 / 2323

z(s) = 0,055/ √ 0,2197 ( 0,00114 + 0,00043)

z(s) = 0,055/ √0,2197* 0,00157

z(s) = 0,055/ √ 3,45*10⁻⁴

z(s) = 0,055 / 1,85*10⁻²

z(s) = 5,5/1,85

z(s) = 2,97

Comparing  z(s) and z(c)     z(s) > z(c)

Then z(s) is in the rejection region we reject H₀.

We can claim that the proportion of adult eating at least one meat-free meal is bigger than the proportion of teen

Karyn has 11/8 pounds of chili to put into three bowls. The amount of chili in each bowl does not have to be the same. How much chili could Karyn put into each bowl? Solve this

Answers

Answer:

bowl a: 11/8 pounds of chili

bowl b: 11/24 pounds of chili

bowl c: 33/48

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Which of the following descritts the shape, mean, and standard deviation of the samplingdistribution of the difference in the two sample proportions?(a) Shape = approximately normal, mean = 0.15, standard deviation = 0.07(b) Shape = approximately normal, mean = 0.15, standard deviation = 0.05(c) Shape = approximately normal, mean = 0.35, standard deviation = 0.07(d) Shape = skewed right, mean = 0.35, standard deviation = 0.05(e) Shape = skewed right, mean 0.35, standard deviation = 0.0 (q1) Find the area of the region bounded by the graphs of y = x - 2 and y2 = 2x - 4. What will be the result of the query based on the following criteria? = ALL ()Returns true if the value is equal to any value returned by the subquery.Returns true if the value is equal to every value returned by the subquery.Returns true if the value is not equal to any values returned by the subquery.Returns true if the value is not equal to any value returned by the subquery. 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