I need this FAST please help!!!

Answers

Answer 1

Answer:

Answer:

the answer is 9.879

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A bookstore keeps track of books sold in one day? Approximately how many books sold were hardcover nonfiction?

Answers

Answer:

27%

Step-by-step explanation:

The total books sold were 182 and the amount of books sold that were nonfiction hardcover were 49 as represented in the frequency table.

To find the percentage we must divide the nonfiction hardcover by the total books.

49/182≈0.269 or 0.27

Multiply the decimal by a 100 to change it into a percentage, so our answer is 27%.

Answer:a 27%

Step-by-step explanation:

Alexa is making a recipe that requires 1 cup of water and 4 cups of flour. Which of the following combinations shows the same ratio of water to flour?A. 2 cups of water to 3 cups of water

B. 2 cups of water to 4 cups of flour

C. 2 cups of water to 8 cups of flour

D. 3 cups of water to 6 cups of flour

Answers

Answer: c

Step-by-step explanation: 1:4 is 4 times the flour to water and 2:8 is also 4 times the flour

Which of the following is true?

Answers

Answer:

Step-by-step explanation:

A=45

A fair die is rolled 8 times. What is the probability that the die comes up 6 exactly twice? What is the probability that the die comes up an odd number exactly five times? Find the mean number of times a 6 comes up. Find the mean number of times an odd number comes up. Find the standard deviation of the number of times a 6 comes up. Find the standard deviation of the number of times an odd number comes up.

Answers

Answer:

0.2605, 0.2188, 1.33, 4, 1.0540, 1.4142

Step-by-step explanation:

A fair die is rolled 8 times.

a. What is the probability that the die comes up 6 exactly twice?

b. What is the probability that the die comes up an odd number exactly five times?

c. Find the mean number of times a 6 comes up.

d. Find the mean number of times an odd number comes up.

e. Find the standard deviation of the number of times a 6 comes up.

f. Find the standard deviation of the number of times an odd number comes up.

a. A die is rolled 8 times. If A represent the number of times a 6 comes up. For a fair die the probability that the die comes up 6 is 1/6 - Thus A ~ Bin(8, 1/6)

The probability mass function of the random variable A is

$p(A) = \left \{ {(8!)/(x!(8 - x)!)*((1)/(6) )^(A)*((5)/(6) )^(8-A) } \right. for A=0,1, ...8$

hence, p(6 twice) implies P(A=2)

that is P(2) substitute A = 2

$p(2) = \left \{ {(8!)/(2!(8 - 2)!)*((1)/(6) )^(2)*((5)/(6) )^(8-2) } \right. for A=0,1, ...8$

$p(2)=(8!)/(2!6!) *((1)/(6) )^(2) *((5)/(6) )^(6)$

p(2) = 0.2605

b. If B represent the number of times an odd number comes up. For the fair die the probability that an odd number comes up is 0.5.

Thus B ~ Bin(8, 1/2 )

The probability mass function of the random variable B is given by

$p(B) = \left \{ {(8!)/(B!(8 - B)!)*((1)/(2) )^(B\n)*((1)/(2) )^(8-B) } \right. for B=0,1, ...8$

hence p(odd comes up 5 times) is

$p(x=5) = p(2)=(8!)/(5!3!) *((1)/(2) )^(5) *((1)/(2) )^(3)$

p(5) = 0.2188

c. let the mean no of times a 6 comes up be μₐ

and let the total number of outcomes be n

using the formula μₐ = nρₐ

μₐ = 8 * 1/6

= 1.33

d. let the mean nos of times an odd nos comes up beμₓ

let the total outcomes be n = 8

let the probability odd be pb = 1/2

μₓ = npb

= 8 * (1/2)

= 4

e. the standard deviation of a random variable A is given as follows

σₐ $= √(np(1-p))$

where p = 1/6 (prob 6 outcome)

n = total outcomes = 8

$= \sqrt{8*(1)/(6)*(5)/(6) }$

= 1.0540

f. the standard dev of the binomial random variable Y is given by

σ $= √(np(1-p))$

where p = 1/2 and n = 8

= $\sqrt{8*(1)/(2) *(1)/(2) }$

= 1.4142

A bag contains 4 red marbles, 1 green one, 1 lavender one, 3 yellows, and 2 orange marbles. HINT [See Example 7.] How many sets of five marbles include at most one of the yellow ones?