Which of the following represents the probability of 3 successes in 5 trials?a. 3C5P(S)*P(775
c. 3C5P(S)?P(A15
b. 5C3P(S)3P(F2
d. 5C3P(S)3P(F)5

Answers

Answer 1
Answer:

Final answer:

The probability of 3 successes in 5 trials is represented by '5C3P(S)³P(F)²'. This equation reflects the combination of possible successful events, multiplied by the probability of success raised to the number of successes, and the probability of failure raised to the number of failures.

Explanation:

The correct answer is d. 5C3P(S)³P(F)².

Probability of success in binomial problems is given by the equation P(S) = nCr * (p)ⁿ * (q)ⁿ-r where n is the number of trials, r is the number of successful trials, p is the probability of success, and q is the probability of failure (1-p). In this case, there are 5 trials and 3 successes, so your p to the power of 3 (P(S)³) represents the probability of success and the your q to the power 2 (P(F)²) represents the probability of failure. The 5C3 in front is a combination which shows how many ways 3 successes can occur in 5 trials.

Learn more about Probability here:

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Answer 2
Answer:

Answer: option B: 5C3P(S)3P(F)2

Step-by-step explanation:

correct on Edge 2020


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Divide. Express your answer in simplest form.
8 divided by 2 4/9

Answers

8 divided by 2 4/9 is equal to 36/11. 
2 4/9 = 22/9 
8 : 22/9 = 8* 9/22= 36/11

Answer:

3 (3/12) or 3 (6/22)

Step-by-step explanation:

A tailor needs ¾ of a yard of material to make a shirt. How many shirts can the tailor make with 20 yards of material?

Answers

ok so x has to be our unknown variable so 3/4x=20 so we divide keep change flip or kfc as we call it 3/4 times 1/20  would be 3/80

5. Factorise: p2 - 11p +30

Answers

Answer:

(p - 5)(p - 6)

Step-by-step explanation:

Given

p² - 11p + 30

Consider the factors of the constant term (+ 30) which sum to give the coefficient of the x- term (- 11)

The factors are - 5 and - 6, since

- 5 × - 6 = + 30 and - 5 - 6 = - 11 , thus

p² - 11p + 30 = (p - 5)(p - 6) ← in factored form

Answer:

(p - 5)(p - 6)

Step-by-step explanation:

p^2 - 11p + 30

find what two numbers added together is -11 but multiplies together is 30, its' -5 and -6 so:

(p - 5)(p - 6)

Can a triangle have sides with the given lengths ?

Answers

Answer:

NO,YES,NO

Step-by-step explanation:

What is the solution to the equation 7(a – 10) = 13 – 2(2a 3)?

Answers

7(a - 10) = 13 - 2(2a + 3)
7a - 70 = 13 - 4a - 6 = 7 - 4a
7a + 4a = 7 + 70
11a = 77
a = 77/11 = 7
a = 7.

Answer:

a=7

Step-by-step explanation:

we have

7(a-10)=13-2(2a+3)

Solve for a

7a-70=13-4a-6

Group terms that contain the same variable and move the constants to the other side

7a+4a=13-6+70

Combine like terms

11a=77

Divide by 11 both sides

a=7

The manager of a sawmill wants to find out what percentage of the boards that the mill produced are defective.Which sampling methods are likely to be biased?

Choose all answers that are correct.

A.
The manager selects 20 boards at random each day for 5 days and examines them.

B.
The manager sends an email to 20 customers who buy lumber from the mill, asking each how many of the boards they bought the past week were defective. Results from the first 5 customers to respond are tallied.

C.
On 1 day, an hour after the sawmill begins production, 30 boards in a row are selected and examined.

D.
Every 40th board produced over the course of 1 week is selected and examined.

Answers

The sampling method that is most bias is: 

B. 
The manager sends an email to 20 customers who buy lumber from the mill, asking each how many of the boards they bought the past week were defective. Results from the first 5 customers to respond are tallied.

C.
On 1 day, an hour after the sawmill begins production, 30 boards in a row are selected and examined.