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2 years ago

Translate the sentence into an equation.

Mathematics

1 answer:

4vir4ik [10]2 years ago

7 0

The translation of the given sentence into an equation is: 7(b + 3) = 1.

<h3>How to Translate a Sentence into an Equation?</h3>

Variables can be used to represent an unknown quantity when translating statements into equation. The word "times" is represented as or means "×" (multiplication). "Sum" means addition as well.

Thus, the sentence given can be translated as shown below:

The unknown number is represented as variable b.

"The sum of a number (b) and 3" would be translated as: b + 3.

"Seven (7) times the sum of a number and 3 (b + 3)" would therefore be: 7(b + 3).

Therefore, translating the whole sentence into an equation, we would have:

7(b + 3) = 1.

Thus, the translation of the given sentence into an equation is: 7(b + 3) = 1.

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The mailing list of an agency that markets scuba-diving trips to the Florida Keys contains 78% males and 22% females. The agency

choli [55]

Answer:

a) 0.98% probability that 17 of the 29 people are men.

b) 3.86% probability that the first woman is reached on the 8th call

Step-by-step explanation:

For each person chosen by the agency, there are only two possible outcomes. Either it is a man, or it is a woman. The probability of selecting a man or a women in each trial is independent from other trials. 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.

(a) What is the probability that 17 of the 29 people are men?

This is P(X = 17) when $n = 29, p = 0.78$ . So

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

$P(X = 17) = C_{29,17}.(0.78)^{17}.(0.22)^{12} = 0.0098$

0.98% probability that 17 of the 29 people are men.

(b) What is the probability that the first woman is reached on the 8th call?

On the first 7 trials, all men, each with a 78% probability.

On the 8th trial, a women, with a 22% probability. So

$P = (0.78)^{7}*0.22 = 0.0386$

3.86% probability that the first woman is reached on the 8th call

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3 years ago

-4 + x / 2 = 3 urgent!

Zina [86]

$\frac{-4 + x}{2}$ = 3 Multiply both sides by 2
-4 + x = 6 Add 4 to both sides (to cancle out the -4)
x = 10

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