If the probability is 0.65 that a marriage will end in divorce within 20 years, what is the probability that out of 7 couples just married in the next 20 years
(A) None will be divorced?
(B) All will be divorced?
(C) Exactly 6 will be divorced?
(D) At least 6 will be divorced?

Answers

Answer 1

Answer:

0.00064

0.049

0.185

0.234

Step-by-step explanation:

Using binomial distribution formula :

P(x = x) = nCx * p^x * (1 - p)^(n-x)

p = 0.65

1 - p = 1 - 0.65 = 0.35

n = 7

(A) None will be divorced?

P(x = 0) : 7C0 * 0.65^0 * 0.35^7

= 1 * 1 * 0.00064339296875

= 0.00064

(B) All will be divorced?

P(x = 7) : 7C7 * 0.65^7 * 0.35^0

1 * 0.04902227890625 * 1

= 0.049

(C) Exactly 6 will be divorced?

P(x = 6) : 7C6 * 0.65^6 * 0.35^1

7 * 0.075418890625 * 0.35

= 0.18477628203125

= 0.185

(D) At least 6 will be divorced?

P(x ≥ 6) = p(6) + p(7)

P(6) = 0.185

P(7) = 0.049

P(x ≥ 6) = 0.185 + 0.049 = 0.234


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Answer:

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Step-by-step explanation:

Answer:

The machine can pack 500 boxes in one hour

You can add +500 in case for more hours

Step-by-step explanation:

2,500 divided by 5 is 500.

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Answers

Answer:$1.25 per bagel

Step-by-step explanation:

5/4=1.25

The cost of each bagels is $1.25.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Teresa went to a bakery to buy bagels.

Teresa paid $5.00 for 4 bagels.

Cost of each bagel = Total cost/Number of bagels

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Therefore, the cost of each bagels is $1.25.

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Answers

Answer:

22.50

Step-by-step explanation:

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Is the answer I choose right and if not please tell me what it is Nd Please tell me how to show the work also !

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Answer:

yes

Step-by-step explanation:

yes the answer you chose is correct

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hope this helps

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Answers

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

A turtle is 2056 inches below the surface of a pond. It dives to a depth of 3214 inches. What is the change in the turtle’s position? Write your answer as a mixed number.

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A donut shop offers a discount on purchase of donuts that total mare than 10 times

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Step-by-step explanation:

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Step-by-step explanation:

39. State the equation for the line described below.

40. State the equation of the line that passes through the points (–7, 5) and (–12, 4).

Picture is attached

Answers

Answer:

Step-by-step explanation:

39). y = [tex]-\frac{7}{8}[/tex] x + 3

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y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )

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Answers

A zero is when y=0.

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Answers

Answer:

[tex]y\approx 11.9[/tex]

Step-by-step explanation:

Here, we have the known angle sandwiched between two known sides.

So, we have SAS.

And we want to find the side opposite to the angle.

Therefore, we can use the Law of Cosines:

[tex]c^2=a^2+b^2-2ab\cos(C)\\[/tex]

Again, it is important what we substitute.

a and b are the two side lengths. So, we will substitute 8 for a and 13 for b.

C is our angle. So, substitute 64 for C.

And c is what we’re trying to solve.

Therefore:

[tex]c^2=(8)^2+(13)^2-2(8)(13)\cos(64)[/tex]

Simplify:

[tex]c^2=64+169-208\cos(64)[/tex]

Add:

[tex]c^2=233-208\cos(64)[/tex]

Take the square root of both sides:

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Use a calculator. So, c is approximately:

[tex]c\approx11.9[/tex]

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Instructions: Perform the given operation for the two stated functions. Type your answer in the space given. Remember to use the appropriate format, and do not use spaces.

f(x)=−x+4

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Find: f(x)+g(x)

Solution:

Answers

Answer:

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What is a function?

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output. A common notation for a function is "f(x)," where x denotes the input value. Example: f(x) = x/2.

What will be the sum of given functions?

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Collect the like terms of right side,

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Therefore, the sum of the function f(x) and g(x) is -1.

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Answers

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

Item 19
Question 1
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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Answers

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:9 x 9 x 9Hope this helps!!

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Step-by-step explanation:

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