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oee [108]
3 years ago
5

What is the length of each side of a cube if the volume is 343 in 3

Mathematics
1 answer:
levacccp [35]3 years ago
5 0
7 because 7*7*7 equals 343
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zhannawk [14.2K]

Answer:

5.)C 6.)A 7.)D 8.)D 9.)A 10.)B

Step-by-step explanation:

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3 years ago
Zhi needs new flooring for her two laundry rooms.each room is 4.5 feet long and 4.5 feet wide . How much are will the flooring n
klio [65]

Answer: 40.5 square feet

Step-by-step explanation:

Given : Zhi needs new flooring for her two laundry rooms.each room is 4.5 feet long and 4.5 feet wide .

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Area of rectangle = Length x width

Then area of one laundry room = 4.5  feet x 4.5 feet = 20.25 square feet

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Hence, The flooring need to cover a total of <u>40.5 square feet</u> of area.

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3 years ago
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It is known that 50% of adult workers have a high school diploma. If a random sample of 8 adult workers is selected, what is the
son4ous [18]

Answer:

85.56% probability that less than 6 of them have a high school diploma

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have a high school diploma, or they do not. The probability of an adult having a high school diploma is independent of other adults. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

50% of adult workers have a high school diploma.

This means that p = 0.5

If a random sample of 8 adult workers is selected, what is the probability that less than 6 of them have a high school diploma

This is P(X < 6) when n = 8.

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

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{8,0}.(0.5)^{0}.(0.5)^{8} = 0.0039

P(X = 1) = C_{8,1}.(0.5)^{1}.(0.5)^{7} = 0.0313

P(X = 2) = C_{8,2}.(0.5)^{2}.(0.5)^{6} = 0.1094

P(X = 3) = C_{8,3}.(0.5)^{3}.(0.5)^{5} = 0.2188

P(X = 4) = C_{8,4}.(0.5)^{4}.(0.5)^{4} = 0.2734

P(X = 5) = C_{8,5}.(0.5)^{5}.(0.5)^{3} = 0.2188

P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.0039 + 0.0313 + 0.1094 + 0.2188 + 0.2734 + 0.2188 = 0.8556

85.56% probability that less than 6 of them have a high school diploma

7 0
3 years ago
Operations with fractions
matrenka [14]

Step-by-step explanation:

\frac{2}{3}  -  \frac{1}{5}  =  \frac{10}{15}  -  \frac{3}{15}  =  \frac{7}{15}

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What is the Y-INTERCEPT of the line 2x + 4y = 10? Type your answer as an ORDERED PAIR and leave your answer as a FRACTION.
Klio2033 [76]

Answer:

(0, 2.5)

Step-by-step explanation:

7 0
3 years ago
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