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3 years ago

If a person drives 75 miles in two hours, how long would it take in five hours? What it be at 17 hours?

2 answers:

7 0

75 miles in 2 hours means
37.5 in 1 hour
So
37.5*5 miles in 5 hours
187.5 miles
And
37.5*17 miles in 17 hours
637.5 miles

lapo4ka [179]3 years ago

3 0

4 1/2 hour if 2 hours was 75 another 2 hours would be 4 hours and the remaining hour would be 1/2 because they are basing by every two hours

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Find three consecutive numbers whose sum is 84.

Advocard [28]

You need 3 numbers, divide the total by 3:

84/3 = 28

This is the middle value.

Now you use the one lower and the one higher:

27 + 28 + 29 = 84

The numbers are 27, 28, 29

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Gala2k [10]

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3 years ago

The variance can never bea.zerob.larger than the standard deviationc.negatived.smaller than the standard deviation

MrRa [10]

Answer:

c.negative

True, by definition since the variance take in count the differences around the mean squared, then we can't have a negative value for a sum of square values.

Step-by-step explanation:

We need to remember that the variance is a measure of dispersion for a dataset respect to a measure of central tendency called the mean. The mean is defined as:

$\bar x = \frac{\sum_{i=1}^n X_i}{n}$

And the population mean is given by:

$\mu= \frac{\sum_{i=1}^n X_i}{N}$

The population variance is defined by:

$\sigma^2 = \frac{\sum_{i=1}^n (X_i -\mu)^2}{N}$

And the sample variance is defined as:

$s^2= \frac{\sum_{i=1}^n (X_i -\bar x)}{n-1}$

Now if we analyze the options we have this:

a.zero

False, if all the values are the same then the mean would be the same to the values and the difference between each value and the mean would 0 and indeed the variance would be 0.

b.larger than the standard deviation

False, if the population standard deviation is $\sigma=2$ then the variance would be $\sigma^2 = 4$ and as we can see is higher than the standard deviation

c.negative

True, by definition since the variance take in count the differences around the mean squared, then we can't have a negative value for a sum of square values.

d.smaller than the standard deviation

False, if the population standard deviation is $\sigma=0.1$ then the variance would be $\sigma^2 = 0.01$ and as we can see is lower than the standard deviation

7 0

3 years ago