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4 years ago

Harvey the wonder hamster can run 3 1/6 km in 1/4 hour find his average speed in kilometers pe hour

Mathematics

2 answers:

iren2701 [21]4 years ago

6 0

there are 4 quarters to 1 hour

3 1/6 x 4 =

19/6 * 4 = 76/6 = 12 4/6, reduces to 12 2/3 km per hour

kkurt [141]4 years ago

5 0

Answer:- The average speed of Harvey the wonder hamster is $12\frac{2}{3}\ km/hour$ .

Explanation:-

Given: Distance traveled by Harvey $=3\frac{1}{6}\ km=\frac{19}{6}\ km$

Time taken $=\frac{1}{4}\ hour$

$Speed=\frac{Distance}{Time}\\\Rightarrow\ Speed=\frac{\frac{19}{6}}{\frac{1}{4}}\\\\=\frac{19\times4}{6}\\\\=\frac{38}{ 3}\\\\=12\frac{2}{3}\ km/hour$

Therefore, the average speed of Harvey the wonder hamster is $12\frac{2}{3}\ km/hour$ .

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A baseball player got 102 hits in the last 300 times at bat. Explain how you would find the percent of times at bat.

slava [35]

Answer:

34%

Step-by-step explanation:

Divide the number of hits, 102, by the times at bat, 300. Then move the decimal 2 places to the right and add the percent sign to get 34%.

6 0

3 years ago

Read 2 more answers

The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 48,564 miles, with a standard

DerKrebs [107]

Answer:

0.0091 = 0.91% probability that the sample mean would be less than 48,101 miles in a sample of 281 tires if the manager is correct

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 can be 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:

$\mu = 48564, \sigma = 3293, n = 281, s = \frac{3293}{\sqrt{281}} = 196.44$

What is the probability that the sample mean would be less than 48,101 miles in a sample of 281 tires if the manager is correct?

This is the pvalue of Z when X = 48101. So

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

By the Central Limit Theorem

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

$Z = \frac{48101 - 48564}{196.44}$

$Z = -2.36$

$Z = -2.36$ has a pvalue of 0.0091

0.0091 = 0.91% probability that the sample mean would be less than 48,101 miles in a sample of 281 tires if the manager is correct

6 0

3 years ago

Which linear inequality is represented by the graph?

Tamiku [17]

Answer:

Option (4)

Step-by-step explanation:

From the graph attached,

A dotted line passes through two points (3, 1) and (-3, -3)

Let the equation of the given line is,

y = mx + b

where 'm' = slope of the line

b = y-intercept

Slope of a line passing through $(x_1, y_1)$ and $(x_2,y_2)$ is,

m = $\frac{y_2-y_1}{x_2-x_1}$

For the given points,

m = $\frac{1+3}{3+3}$

m = $\frac{2}{3}$

y-intercept 'b' = -1

Therefore, equation of the given line will be,

$y=\frac{2}{3}x-1$

Since graphed line is a dotted line so it's representing an inequality(having < or > sign)

And the shaded part is below the dotted line,

Inequality will be,

y < $\frac{2}{3}x-1$

Therefore, Option (4) will be the answer.

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3 years ago

Ethan jogged 1 1/3 miles. Chloe jogged 1 1/4 times as far as Ethan. How many miles did Chloe jog?

Paul [167]

<span>Ethan jogged 1 1/3 miles. Chloe jogged 1 1/4 times as far as Ethan. How many miles did Chloe jog?
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3 years ago

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2 years ago