All 10 of the orangutans at a certain zoo contract a very serious disease which claims 80% of its victims (if an orangutan contracts the disease, the probability that it will die is 0.80). What is the probability that exactly two of the orangutans at this zoo will survive?

A. 0.200
B. 0.800
C. 0.302
D. 0.698

Answers

Answer 1

The probability that exactly two of the orangutans at the zoo will survive is 0.302.

This problem can be solved using the binomial distribution formula, which calculates the probability of obtaining k successes (survivors in this case) in n trials (orangutans in this case) given a probability p of success (orangutan surviving in this case). The formula is:

P(k) = (n choose k) * p^k * (1-p)^(n-k)

In this case, n = 10, k = 2, p = 0.20 (the probability of an orangutan surviving is 1-0.80 = 0.20). Plugging these values into the formula, we get:

P(2) = (10 choose 2) * 0.20^2 * 0.80^8

P(2) = 45 * 0.04 * 0.16777216

P(2) = 0.302

Therefore, the probability that exactly two of the orangutans at the zoo will survive is 0.302, or approximately 30.2%.

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Related Questions

how do you solve 0.4m(40m-20n)

Answers

Answer:

= 16m2o−8mno

Step-by-step explanation:

HELP NOW FOR MEGA POINTS
Which statement below about the graph of f(x)=-log(x+4)+2 is true?
1) f(x) has a y-intercept at (0,2)
2) −f(x) has a y-intercept at (0,2)
3) As x → ∞, f(x) → ∞.2)
4) x → −4, f(x) → ∞
SHOW WORK

Answers

Answer:

4 IS THE ANSWER MATE

Step-by-step explanation:

Absolutely, I can do that!

Let's take a look at each statement:

1) f(x) has a y-intercept at (0,2)

To find the y-intercept, we need to set x to 0 and solve for y. Plugging in x = 0 into the equation for f(x), we get:

f(0) = -log(0+4) + 2

f(0) = -log(4) + 2

f(0) = -0.602 + 2

f(0) = 1.398

Since the y-coordinate of the y-intercept is 1.398, not 2, this statement is false.

2) The function -f(x) has a y-intercept at (0,2)

Since the negative sign in front of f(x) reflects the graph of f(x) across the x-axis, we can determine the y-intercept of -f(x) by taking the opposite of the y-intercept of f(x). Since the y-intercept of f(x) is not 2, this statement is also false.

3) As x approaches positive infinity, the function f(x) approaches negative infinity.

The function f(x) is a logarithmic function with a negative coefficient, which means it approaches negative infinity as x approaches positive infinity. Therefore, this statement is true.

4) As x approaches -4 from the right, the function f(x) approaches negative infinity.

As x approaches -4 from the right, the value of f(x) becomes more and more negative without bound, which means that f(x) approaches negative infinity as x approaches -4 from the right. Therefore, this statement is also true.

In summary, statements (1) and (2) are false, while statements (3) and (4) are true.

Describe what is measured by the estimated standard error in the bottom of the independent-measures t statistic. The denominator of the independent-measures t statistic provides an estimate of the standard ____ between a _____ and the When the null hypothesis is true, thne tieanadard ero rhies the standard _____ between a ______ and _____.

Answers

The denominator of the independent-measures t statistic provides an estimate of the standard error between a sample mean and the population mean. When the null hypothesis is true, the estimated standard error measures the standard deviation between a sample mean and the population mean.

The estimated standard error, which is the square root of the sample size times the variance, measures the standard deviation between the sample mean and the population means. The denominator of the independent-measures t statistic provides an estimate of the standard error between a sample mean and the population mean.

When the null hypothesis is true, the estimated standard error measures the standard deviation between a sample mean and the population mean. The estimated standard error is a measure of the amount of variability in the sampling distribution of the mean. It is used to calculate the t-value for the independent-measures t-test.

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NEED HELP ASAP!! Solve for m

NEED HELP ASAP!! Solve for m

Answers

Angle B = 56.309932474020215

This is through using a trigonometry calculator I forgot how to set it up tbh.

Hope this helps ;)

For extra info Angle C = 33.690067525979785.

They add up to 90 which added with the right angle of 90 means the interior angles add to 180 meaning it is in fact correct because a triangle is always 180 inside.

Please help, I struggle with word problems. Thank you.

There are 200 marbles in a box. All the marbles are either red or blue. If there are 40 more red marbles than blue, how many red marbles are in the box?​

Answers

The correct answer is C. Let x be the number of blue marbles, and x + 40 be the number of blue marbles. There are 200 marbles in the box, so you have x+ x + 40 = 200, which is equivalent to 2x + 40 = 200, or x = 80.

how do you factor 20m-8n

Answers

Answer:

The factors of them are, 1, 2, and 4.

Step-by-step explanation:

Answer: 5m^2 (4m-5)

Step-by-step explanation: Factor 5m^2 out of 20m^3

5m^2 (4m)-25m^2

Factor 5m^2 out of -25m^2

5m^2 (4m)+5m^2(-5)

Factor 5m^2 out of 5m^2 (4m)+5m^2(-5).

5m^2(4m-5)

Chris and jeff sold 15.5 pounds of trail mix. they sold trail mix for 3.98 per pound. how much money did they collect explain?
P.s please help!

Answers

Answer: $61.69

Step-by-step explanation: Since is say "per pound", it means for each 1 singular item/weight/etc. So for Each pound, you gain 3.98 dollars. Multiply 15.5 and 3.98 to get 61.69.

help fast for 25 pts
Use the graph below to fill in the blank with the correct number:

f(0) =

help fast for 25 ptsUse the graph below to fill in the blank with the correct number: f(0) =

Answers

Answer:

4

Step-by-step explanation:

to find f(0) we look a when x is 0

when x is 0 y axis is 4

so f(0)=4

hopes this helps

Determine whether each sequence is arithmetic. If so, identify the common difference. 0,2,5,9,14, . . . .

Answers

The given sequence is not an arithmetic sequence therefore there is no common difference

The given sequence is,

0,2,5,9,14, . . . .

To determine if the sequence 0, 2, 5, 9, 14, ... is arithmetic,

Check if there is a common difference between consecutive terms.

The common difference is the constant value added or subtracted to transition from one term to the next.

The difference between the second and first terms is 2 - 0 = 2.

The difference between the third and second terms is 5 - 2 = 3.

The difference between the fourth and third terms is 9 - 5 = 4.

And the difference between the fifth and fourth terms is 14 - 9 = 5.

We can see that the differences are not the same, so the sequence is not arithmetic.

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(1) Isabella cracked the screen on her old phone, so she is going to start saving for a new
one. She decides to save $30 a week.
() Write an equation that shows the relationship between the number of weeks Isabella has
been saving, x, and the total amount saved, y.
() Do not include dollar signs in the equation.
y =
Submit

(1) Isabella cracked the screen on her old phone, so she is going to start saving for a newone. She decides

Answers

The equation to represent the situation is y = 30x.

How to represent a situation with an equation?

Isabella cracked the screen on her old phone, so she is going to start saving for a new one. She decides to save $30 a week.

Therefore, the equation that shows the relationship between the number of weeks Isabella has been saving, x, and the total amount saved, y is represented as follows:

Hence,

y = 30x

where

y = total amount saved x = number of weeks

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que son monomios? y 4 ejemplos

Answers

una expression algebraic

5x9

xy²

8x6y

3x

On a separate piece of graph paper, graph y=-Ixl +3 then click on the graph until the correct one appears.

On a separate piece of graph paper, graph y=-Ixl +3 then click on the graph until the correct one appears.

Answers

Answer:

That is the graph for y = -|x| + 3

On a separate piece of graph paper, graph y=-Ixl +3 then click on the graph until the correct one appears.

In the diagram linem is parallel to linen
with a transversal linet.
Which of the below terms best describe
the relationship between <3 and <4?

In the diagram linem is parallel to linenwith a transversal linet.Which of the below terms best describethe

Answers

Answer:

Alternate exterior angles

Step-by-step explanation:

If they shared a vertex, they would be vertical angles, but since they are on different lines, and alternate sides, the dark blue (alternate exterior angles) answer is correct.

HELPPPP MEEEEEE PLEASEEEEEEE THX

HELPPPP MEEEEEE PLEASEEEEEEE THX

Answers

Answer is D tytytytytytyty

Answer:

It's either -6/5 or -5/6, but it's definitely a negative.

Solve each equation:
1. (2y+5)(y-4)=0
2. (y-3)(y+2)=0
3: 2z^2+20z=0
4: 9x^2=27x

Answer Quick!!!!

Answers

Answer:

(1) ... y1 = -2.5, y2 = 4

(2) ... y1 = -2, y2 = 3

(3) ... z1 = -10, z2 = 0

(4) ... x1 = 0, x2 = 3

Hope this helps <3

Step-by-step explanation:

Answer:

1. y= -5/2, 2

2. y= 3, -2

3. z= 0,-10

4. x= 0,3

Step-by-step explanation:

A publisher can sell x thousand copies of a monthly sports magazine at the price of p = 5-x/100 dollars. The monthly publishing cost, C can be modeled by 160 C(x) = 800- 200x - 0.05x² a. determines the equation that expresses income. b. determine the equation that expresses the profits. c. Calculate the marginal profit for a volume of 30,000 magazines. d. Calculate the maximum profit.

Answers

a. Determines the equation that expresses income:

Given that the publisher can sell x thousand copies of a monthly sports magazine at the price of p = 5 - x/100 dollars.Total income, I = Number of magazines sold × Price per magazineI = x × (5 - x/100)I = 5x - x²/100

b. Determine the equation that expresses the profits

:Profit = Income - CostTotal cost, C = 160 C(x) = 800- 200x - 0.05x²I = 5x - x²/100C = 160 C(x) = 800- 200x - 0.05x²Profit = Income - CostProfit = (5x - x²/100) - (800- 200x - 0.05x²)

Profit = 5.01x - 0.95x² - 800

c. Calculate the marginal profit for a volume of 30,000 magazines.

To calculate marginal profit, first, we need to differentiate the profit function.

Profit = 5.01x - 0.95x² - 800

dProfit/dx = 5.01 - 1.9x

At x = 30,000 Profit' (30,000) = 5.01 - 1.9(30,000) = -53,998

Marginal profit for a volume of 30,000 magazines is -$53,998

d. Calculate the maximum profit:Profit = 5.01x - 0.95x² - 800

We need to differentiate the profit function with respect to x to find the maximum profit.

Profit' (x) = 5.01 - 1.9x = 0=> 5.01 - 1.9x = 0=> 5.01 = 1.9x=> x = 5.01/1.9= 2.64 thousand (approx)

So, the maximum profit occurs when x = 2640.

Total income, I = 5x - x²/100I = 5(2640) - (2640)²/100= $64,068

Total cost, C = 160 C(x) = 800- 200x - 0.05x²C(2640) = 800- 200(2640) - 0.05(2640)²= $24,096

Profit = Income - CostProfit = $64,068 - $24,096= $39,972Therefore, the maximum profit is $39,972.

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4. Mary wants to select one shirt (white, red, black), one pant (capri,
skinny), and one footwear (shoes, boots). Which outcome is not
possible? *
A white shirt, capri pant, shoes
B red shirt, skinny pant, boots
C blue shirt, capri pant, boots
Dblack shirt, skinny pant, shoes

Answers

C blue shirt, capri pants, boots

because the blue color is not on there

Answer:

B red shirt, skining pant, boots

Can someone please explain how to solve these questions.

Can someone please explain how to solve these questions.

Answers

Answer: your answer are in the screen shots hope this helped  

Step-by-step explanation:

Can someone please explain how to solve these questions.
Can someone please explain how to solve these questions.
Can someone please explain how to solve these questions.
Can someone please explain how to solve these questions.

find the greatest common factor gcf for each number set. 96, 120

Answers

Answer: 24

Step-by-step explanation:

Factors of 96:  1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60 , 120

Highest number between the two sets of factors which is common is 24

Select the correct answer from each drop-down menu.
157
The expression above can also be written in the form ac.

Select the correct answer from each drop-down menu.157The expression above can also be written in the

Answers

Answer:

For this expression:

            a=15  , b=7 and c=4

Step-by-step explanation:

We are asked to find the value of a,b and c by representing the given expression:

in the form of:  

where a is the base and b is the numerator of the exponent and c is the denominator of the exponent.

We know that the expression of the type:

is also written as:

Hence, we get our expression as:

        Hence, we have:

     a=15, b=7 and c=4

a=15  , b=7 and c=4

Step-by-step explanation:

Just had this on a test!

Answer: a=15 b=7 c=4

Step-by-step explanation:

Good

Which statement best describes the main theme of the short story?

A. People act in suprising ways in order to fit in with orders

B. People who bully other people are often Insecure themselves

C. People might not realize that their actions or words are hurtful.

D. People who have a fear of public speaking just need more practice

Story: The Fan Club (Common Lit)​

Answers

Answer:

c- people might not realize there words/actions are hurtful

Figure B is a scaled copy of Figure A

What is the scale factor from Figure A to Figure B?

Figure B is a scaled copy of Figure AWhat is the scale factor from Figure A to Figure B?

Answers

Answer:

\(1/2\)

Step-by-step explanation:

Because they are scaled copies, the ratios of the sides are equal.

Figure A has a base of 6 units by inspection.

Figure B has a base 3 units by inspection.

So, the scale factor from Figure A to Figure B is \(3/6=\boxed{1/2}\) and we're done!

The scale factor from Figure A to Figure B is 1/2

What is the scale factor from Figure A to Figure B?

Figure A:

Base = 6 units

Height = 4 units

Figure B:

Base = 3 units

Heights = 2 units

Using Base of the shape:

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape

= 3 units / 6 units

= 1/2

Using Height of the shape:

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape

= 2 units / 4 units

= 1/2

Hence, 1/2 is the scale factor from Figure A to Figure B.

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to solve the equation 3 x + 1 = 4 x + (negative 4)

Answers

Answer:

x=5

Step-by-step explanation:

3x+1 = 4x -4

Subtract 3x from each side

3x+1-3x = 4x-3x-4

1 = x-4

add 4 to each side

1+4 = x-4+4

5 =x

Answer: x=5

Step-by-step explanation:

3x+1=4x+(-4)

3x+1=4x-4

3x+5=4x

5=x

PLEASE ASAP ILL GIVE BRAINLIEST.

PLEASE ASAP ILL GIVE BRAINLIEST.

Answers

Answer:

I believe its because it going agents the wind

Answer:

     B)  SOUTH

Step-by-step explanation:

Find the distance between the points (2,8) and (-1,9).

Find the distance between the points (2,8) and (-1,9).

Answers

Answer:

need points sorry 38484343

Step-by-step explanation:

Woodpecker, Inc., stock has an annual return mean and standard deviation of 12.6 percent and 44 percent, respectively. What is the smallest expected loss in the coming month with a probability of 16.0

Answers

Answer:

To find the smallest expected loss in the coming month with a probability of 16.0%, we need to calculate the corresponding z-score for the given probability and use it to determine the loss value.

First, we convert the probability to a z-score using the standard normal distribution table or a calculator. A probability of 16.0% corresponds to a z-score of approximately -0.99.

Next, we calculate the expected loss by multiplying the z-score by the standard deviation and adding it to the mean:

Expected loss = z-score * standard deviation + mean

Expected loss = -0.99 * 44% + 12.6%

Expected loss = -0.99 * 0.44 + 0.126

Expected loss = -0.4356 + 0.126

Expected loss ≈ -0.3096

Therefore, the smallest expected loss in the coming month with a probability of 16.0% is approximately -0.3096, or 30.96% (rounded to two decimal places).

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diffrentiate between save and save as​

Answers

Step-by-step explanation:

The main difference between Save and Save As is that Save helps to update the lastly preserved file with the latest content while Save As helps to store a new file or to store an existing file to a new location with the same name or a different name.mark me brainlist if i help

Answer:

difference between save and save as is that save helps to update lastly preserved file with least content while save as to store a new file or to store an existing file to a new location with the same name or different name.

A registered golden retriever has a litter of 11 puppies. Assume that the probability of a puppy being male is 0.5. What is the probability at least 7 of the puppies will be male?

Answers

The probability at least 7 of the puppies will be male is approximately 0.0805 or 8.05%.

To determine the probability that at least 7 of the puppies will be male, we will have to use the binomial probability formula.

P(X ≥ k) = 1 - P(X < k)

where X is the number of male puppies, P is the probability of a puppy being male and k is the minimum number of male puppies required.

We can solve this problem by finding the probability that 0, 1, 2, 3, 4, 5, or 6 of the puppies are male, and then subtracting that probability from 1. We use the binomial distribution formula to find each of these individual probabilities.

P(X=k) = nCk * pk * (1-p)n-k

where n is the total number of puppies, p is the probability of a puppy being male (0.5), k is the number of male puppies, and nCk is the number of ways to choose k puppies out of n puppies. We'll use a calculator to compute each probability:

P(X < 7) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5) + P(X=6)

P(X = 0) = 11C0 * 0.5⁰ * (1-0.5)¹¹ = 0.00048828125

P(X = 1) = 11C1 * 0.5¹ * (1-0.5)¹⁰ = 0.00537109375

P(X = 2) = 11C2 * 0.5² * (1-0.5)⁹ = 0.03295898438

P(X = 3) = 11C3 * 0.5³ * (1-0.5)⁸ = 0.1171875

P(X = 4) = 11C4 * 0.5⁴ * (1-0.5)⁷ = 0.24609375

P(X = 5) = 11C5 * 0.5⁵ * (1-0.5)⁶ = 0.35595703125

P(X = 6) = 11C6 * 0.5⁶ * (1-0.5)⁵ = 0.32421875

P(X < 7) = 0.00048828125 + 0.00537109375 + 0.03295898438 + 0.1171875 + 0.24609375 + 0.35595703125 + 0.32421875 = 1 - P(X < 7) = 1 - 1.08184814453 = -0.08184814453 ≈ 0.0805

Therefore, the probability that at least 7 of the puppies will be male is approximately 0.0805 or 8.05%.

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How am I supposed to do this?

How am I supposed to do this?

Answers

The two-sided limit exists as long as the limits from either side also exist and are equal. So to compute the limit, you have to compute the one-sided limits,

\(\displaystyle\lim_{x\to0^-}f(x)\)

\(\displaystyle\lim_{x\to0^+}f(x)\)

f(x) has a different definition and thus different behavior as x approaches 0 depending on which direction x is approaching 0:

• When x approaches 0 from the left (or from below), you use the definition of f for x < 0, so

\(\displaystyle\lim_{x\to0^-}f(x) = \lim_{x\to0}(-x-2) = -2\)

• When x approaches 0 from the right (or above), you use the other definition, so

\(\displaystyle\lim_{x\to0^+}f(x) = \lim_{x\to0} \left(\frac x2-2\right) = -2\)

The limits from either side match, so the two-sided limit exists and is also -2.

A mover in a moving truck is using a rope to pull a 424 lb box up a ramp that has an incline of 22°. What is the force needed to hold the box in a stationary position to prevent the box from sliding down the ramp?

Answers

The force needed to hold the box in a stationary position on the inclined ramp is approximately 156.89 lb. This can be calculated by multiplying the weight of the box (424 lb) by the sine of the angle of inclination (22°).

When the box is at rest on the inclined ramp, the force of gravity acting on it can be resolved into two components: one perpendicular to the ramp (the normal force) and one parallel to the ramp (the force due to gravity along the incline).

The normal force counteracts the component of gravity perpendicular to the ramp and is equal in magnitude but opposite in direction. The force due to gravity along the incline can be determined by multiplying the weight of the box by the sine of the angle of inclination.

To prevent the box from sliding down the ramp, the force needed to hold it in place must exactly balance the force due to gravity along the incline. Therefore, the required force can be calculated by taking the weight of the box and multiplying it by the sine of the angle of inclination.

In this case, the weight of the box is 424 lb, and the angle of inclination is 22°. Thus, the force needed to hold the box in a stationary position is 424 lb  sin(22°).

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