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2 years ago

7

What does 2/3 - 2/4 equal? I need the steps on how to get the answer please!!

1 answer:

alina1380 [7]2 years ago

8 0

$\frac{2}{3} - \frac{2}{4}\\\\\frac{2}{3} - \frac{1}{2} = \frac{1}{6}$

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Solve (4)-6(9•-2)<br><br> A.89<br> B.200<br> *C.122<br> D.97

Grace [21]

You are correct C. is the answer.

4 0

3 years ago

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

2 years ago

Which of the following describes the correct process for solving the equation 3x+6=21

DochEvi [55]

Answer: Subtract 6 from both sides. Then, one would get 3x=15. Divde by 3 on both sides. x=5.

Step-by-step explanation:

4 0

3 years ago

Consider the sequence of steps to solve the equation: 2(x − 4) + 6x = 9x − 10

Andrews [41]

Step 1 is justified

8 0

2 years ago

Read 2 more answers

Please tell me the answer

Talja [164]

Answer:

a shift 5 units to the left, and then a shift 3 units up.

6 0

2 years ago