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2 years ago

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Ted likes to run long distances. He can run 20 \text{ km}20 km20, space, k, m in 959595 minutes. He wants to know how many kilom

eters (k)(k)left parenthesis, k, right parenthesis he will go if he runs at the same pace for 285285285 minutes.
Which proportion could Ted use to model this situation?
Please choose from one of the following options.
k20=95285
28595=k20
Solve the proportion to determine how far Ted will run in 285285285 minutes.

\text{km}km

2 answers:

soldi70 [24.7K]2 years ago

8 0

Answer:

$\frac{285}{95}=\frac{k}{20}$

Step-by-step explanation:

we know that

Ted runs 20 km in 95 minutes

so

Using proportion

Find out how many kilometers he runs at the same pace for 285 minutes

Let

k ----> the number of kilometers

$\frac{20}{95}\frac{km}{min}=\frac{k}{285}\frac{km}{min}\\\\k=20(285)/95\\\\k=60\ km$

therefore

The proportion that could Ted use to model this situation is

$\frac{20}{95}=\frac{k}{285}$

Rewrite

$\frac{285}{95}=\frac{k}{20}$

IceJOKER [234]2 years ago

8 0

Answer:

60 kilometers he will go if he runs at the same pace for 285 minutes.

Step-by-step explanation:

Given : Ted likes to run long distances. He can run 20 km 95 minutes. He wants to know how many kilometers (k) he will go if he runs at the same pace for 285 minutes.

To find : Which proportion could Ted use to model this situation?

Solution :

The relation between distance, speed and time is

$\text{Speed}=\frac{\text{Distance}}{\text{Time}}$

Ted can run 20 km in 95 minutes.

The speed is given by,

$s=\frac{20}{95}$

Let k be the distance in kilometers he will go if he runs at the same pace for 285 minutes.

As speed are equal,

The speed is given by,

$s=\frac{k}{285}$

The proportion could Ted use to model this situation

$\frac{20}{95}=\frac{k}{285}$

Solving the proportion,

$20\times 285=k\times 95$

$95k=5700$

$k=\frac{5700}{95}$

$k=60$

Therefore, 60 kilometers he will go if he runs at the same pace for 285 minutes.

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Setler79 [48]

Answer:

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Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

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The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

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$0.385 = \frac{X - 88}{7}$

$X - 88 = 7*0.385$

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(b) The 35th percentile

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Answer:

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Step-by-step explanation:

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We use the conditional probability formula to solve this question. It is

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In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

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Event B: Is very active.

Probability of having diabetes:

To find this probability, we take in consideration that:

It also found that men who were very active (burning about 3,500 calories daily) were a fourth as likely to develop diabetes compared with men who were sedentary. Assume that one-fifth of all middle-aged men are very active, and the rest are classified as sedentary.

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Answer:

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