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elixir [45]
1 year ago
8

A woman works out by running and swimming. When she runs, she burns 7 calories per minute. When she swims, she

Mathematics
1 answer:
olga_2 [115]1 year ago
6 0

The inequality that describes the calories burned is 7x + 9y ≥ 441

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

let x represent the number of minutes of running and y represent the number of minutes of swimming, hence:

7x + 9y ≥ 441

The inequality that describes the calories burned is 7x + 9y ≥ 441

Find out more on equation at: brainly.com/question/2972832

#SPJ1

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The areas of two similar triangles are 49 cm2 and 16 cm2. what is the ratio of the corresponding side lengths? of the perimeters
Nikitich [7]
We know that

[area of larger triangle]=[scale factor]²*[area of smaller triangle]
[scale factor]=√[area of larger triangle/area of smaller triangle]
[scale factor]=√[49/16]-----> 7/4

Part A) <span>what is the ratio of the corresponding side lengths?
the ratio </span>of the corresponding side lengths is equals to the scale factor

the answer Part A) is 
the ratio of the corresponding side lengths is 7/4

part B)what is the ratio of the perimeters?
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the answer Part B) is 
the ratio of the perimeters is 7/4
4 0
3 years ago
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masha68 [24]

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50-3n what is the value of n
zavuch27 [327]

Step-by-step explanation:

50-3n

or,50=3n

or,50/3=n

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4 0
3 years ago
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

4 0
3 years ago
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Zinaida [17]

Answer:

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b) \text{Circumference} = \pi d

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Step-by-step explanation:

We are given the following in question:

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The distance around Ferris wheel is given by the circumference of Ferris wheel.

b) Formula to calculate circumference

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where d is the diameter of he wheel.

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This will be given by the circumference of the Ferris wheel.

\text{Distance} = \pi d = 3.14\times 200 = 628\text{ feet}

Thus, the distance traveled in one rotation is 628 feet.

8 0
3 years ago
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