20+4m=42. The answer to m is 5.5. I got my answer by doing the inverse operation of adding 20 by subtracting 20 from both sides and I got 4m=22. I later did the inverse operation of multiplying 4 I divided by 4 from 22 getting me 5.5.

8 0

3 years ago

If a couple plans to have 8 children, what is the probability that there will be at least one boy? Assume boys and girls are e

Artyom0805 [142]

Answer:

99.61% probability that there will be at least one boy, which is high enough for the couple to be very confident that they will get at least one boy in 8 children.

The probability is 0.9961

Step-by-step explanation:

For each children, there are only two possible outcomes. Either they are a boy, or they are a girl. The probability of a children being a boy is independent from the probability of other children being a boy. 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.

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

Assume boys and girls are equally likely.

This means that $p = 0.5$

If a couple plans to have 8 children, what is the probability that there will be at least one boy?

This is $P(X > 0)$ when $n = 8$

We know that either there are no boys, or there is at least one boy. The sum of the probabilities of these events is decimal 1. So

$P(X = 0) + P(X > 0) = 1$

$P(X > 0) = 1 - P(X = 0)$

In which

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

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

$P(X > 0) = 1 - P(X = 0) = 1 - 0.0039 = 0.9961$

Any probability above 95% is considered very high.

99.61% probability that there will be at least one boy, which is high enough for the couple to be very confident that they will get at least one boy in 8 children.

5 0

4 years ago

Veronica is framing a rectangular picture. She uses 72 inches of framing. The picture is 20 inches long. What is the width of th

Marina CMI [18]

Answer:

3.6

Step-by-step explanation:

Using the area of rectangle formula L*W= A

we can plug in our known values

20*w=72

then we can divide 20 on both sides giving us 3.6 inches for width.

4 0

3 years ago

Rosa spent $11.52 on 8 candy necklaces for each of her two friends. How much did each necklace cost?

Vaselesa [24]

Answer:

$1.44

Explanation: divide the numbers

5 0

3 years ago

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