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rodikova [14]
2 years ago
14

1 Sam can run 8 miles in 2 hours. At this rate, how far will he be in 9 hours.

Mathematics
1 answer:
krok68 [10]2 years ago
6 0

Answer: I think 28 miles

Step-by-step explanation:

you add 8 miles every 2 hours until you reach 9 hours and since 9 is an old number you add 4 instead.

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I am child in the family
uranmaximum [27]

Answer:

why this question ?!

giving points?!

5 0
3 years ago
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A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 33.9 wee
MArishka [77]

Answer:

P(35.3 < M < 35.4) = 0.0040.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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:

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

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 33.9, \sigma = 6.7, n = 119, s = \frac{6.7}{\sqrt{119}} = 0.6142

Find the probability that a single randomly selected value is between 35.3 and 35.4

This is the pvalue of Z when X = 35.4 subtracted by the pvalue of Z when X = 35.3. So

X = 35.4

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

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{35.4 - 33.9}{0.6142}

Z = 2.44

Z = 2.44 has a pvalue of 0.9927

X = 35.3

Z = \frac{X - \mu}{s}

Z = \frac{35.3 - 33.9}{0.6142}

Z = 2.28

Z = 2.28 has a pvalue of 0.9887

0.9927 - 0.9887 = 0.0040

So the answer is:

P(35.3 < M < 35.4) = 0.0040.

4 0
3 years ago
The Olympic-size pool at the recreational center is a right rectangular prism 50m long and 25m wide.The pool contains 3000m3 of
Andru [333]

Answer:

depth of swimming pool = 2.4 meters

Step-by-step explanation:

Volume of the swimming pool = l x b x h = 3000

Volume of the swimming pool = 50 x 25 x h = 3000

h = 2.4 meters

6 0
3 years ago
What is 1.833333 repeating as a fraction?
Andrew [12]
1833/1000 as a top heavy fraction as a mixed fraction it is 1 833/1000
8 0
3 years ago
What is the equation of the line that passes through the point (1, 3) and is perpendicular to the line 2x+3y=15?
WARRIOR [948]

Answer:

<h2>y = -3/2x + 9/2</h2>

Step-by-step explanation:

first let's convert the equation to y=2/3x+5

since the line is perpendicular we know that m=-3/2=1.5. now we just need to plug these numbers into an equation.

3=(-1.5)1+b

multiply.

3=-1.5+b

now add 1.5 to both sides of the equation.

4.5=b

change that into a fraction.

9/2.

now using 9/2 as b and -3/2 as m we have our equation:

<h2><u>y = -3/2x + 9/2.</u></h2>
5 0
3 years ago
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