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3 years ago

if the distance is 10 miles and it takes 1000 seconds to travel the distance what is the rate in miles per hour

Mathematics

1 answer:

Ksju [112]3 years ago

7 0

1000 second = 16.67 hours
rate : velocity : distance/time
10 miles ÷ 16.67 hours = 0.6 miles/hour

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How can a ratio be used to compare quantities?

photoshop1234 [79]

Answer:

Two quantities can be compared by a ratio. As a fraction in the simplest form, a typical manner of expressing a ratio. If you compare the two numbers with distinct measuring units, this type of ratio is known as a rate. A rate is unit rate when it is 1. A rate is unit rate.

Step-by-step explanation:

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2 years ago

Read 2 more answers

Un capital de 4000 lei este plasat în regim de dobândă simplă pe o perioadă de 3 ani cu rata dobânzii

9966 [12]

Answer:

960

Step-by-step explanation:

The simple interest formula is the following:

I = P*r*t

Where I is the interest generated after t years, P is the inicial value and r is the rate of interest.

In this case, we have that the inicial value is P = 4000, the rate of interest is r = 8% = 0.08 and the amount of time invested is t = 3 years.

So, the interest will be:

I = 4000*0.08*3 = 960

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3 years ago

olice response time to an emergency call is the difference between the time the call is first received by the dispatcher and the

yan [13]

Answer:

0.7823 = 78.23% probability that the response time is between 3 and 9 minutes.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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

$Z = \frac{X - \mu}{\sigma}$

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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 7.2 minutes and a standard deviation of 2.1 minutes.

This means that $\mu = 7.2, \sigma = 2.1$

For a randomly received emergency call, find the probability that the response time is between 3 and 9 minutes.

This is the pvalue of Z when X = 9 subtracted by the pvalue of Z when X = 3.

X = 9

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{9 - 7.2}{2.1}$

$Z = 0.86$

$Z = 0.86$ has a pvalue of 0.8051

X = 3

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{3 - 7.2}{2.1}$

$Z = -2$

$Z = -2$ has a pvalue of 0.0228

0.8051 - 0.0228 = 0.7823

0.7823 = 78.23% probability that the response time is between 3 and 9 minutes.

4 0

2 years ago

Steve hade 17 pencils in his backpack. this represents 5 more than 6/7 the number of pencils that Clyde has in his backpack

LenaWriter [7]

Answer:

Clyde has 14 pencils in his backpack

Step-by-step explanation:

Let x be the number of pencils that Clyde has in his backpack.

We can translate this statement “<u><em>Steve hade 17 pencils in his backpack. this represents 5 more than 6/7 the number of pencils that Clyde has in his backpack</em></u>” mathematically like this :

$17=5+\frac{6}{7} x \\\\ \Longleftrightarrow 17-5=\frac{6}{7} x \\\\ \Longleftrightarrow 12=\frac{6}{7} x \\ \\\Longleftrightarrow x=\frac{12\times 7}{6} =14$