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3 years ago

6) The sum of three consecutive even numbers is 96. What is the smallest of the three numbers ?

Mathematics

1 answer:

Neko [114]3 years ago

6 0

Answer:

Step-by-step explanation:

Consecutive even numbers can be written as X,X+2,X+4,X+6, and so forth. You only have three consecutive even numbers that equal 96, so write the following equation:

X+X+2+X+4=96

1) Combine alike terms:

3X+6=96

2) Subtract 6 from both sides:

3X=90

3) Divide both sides by 3:

X=30

Now plug in 30 for each of the consecutive even numbers' equations:

X=30

X+2=32

X+4=34

The smallest of these three numbers is 30, therefore the answer is 30!

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A national survey interviewed 3800 people ages 18 and older nationwide by telephone. One question asked was the amount of gasoli

NeTakaya

Answer:

For this case a parameter represent the population data and for this case the parameter would be the true mean $\mu$ who represent the amount of gasoline they used in the previous week

$\bar X= \frac{\sum_{i=1}^n X_i}{3800} =11.75$

And the sample mean is an unbiased estimator of the true mean.

Step-by-step explanation:

For this case a parameter represent the population data and for this case the parameter would be the true mean $\mu$ who represent the amount of gasoline they used in the previous week

And in order to estimate the parameter of interest we use a survey of n =3800 and the sample mean who represent an statistic is given by:

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

And we got:

$\bar X= \frac{\sum_{i=1}^n X_i}{3800} =11.75$

And the sample mean is an unbiased estimator of the true mean.

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3 years ago

Savatey [412]

Answer:

sorry

Step-by-step explanation:

plz send full question

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3 years ago

A data set of 27 different numbers has a mean of 33 and a median of 33. A new data set is

Svetllana [295]

Answer:

Option D.

Step-by-step explanation:

Suppose that we have a set of N values:

{x₁, x₂, ..., xₙ}

The median is the value in the middle, and the mean is calculated as:

$M = \frac{(x_1 + x_2 + x_3 ... + x_n)}{N}$

Because here we have "the median" then we will assume that N is odd, and there is only one median, the value "k" (if N was even, the median would be the mean of the two middle values, that case is really similar to the case where N is odd, so solving only one of the cases is enough)

Now we add 7 to all the values greater than the median

We subtract 7 to all values smaller than the median.

Then the median remains unchanged (because we did not add nor subtract anything to the median).

The new mean will be:

$M' = \frac{(x_1 - 7) + (x_2 - 7) + ... + (x_{k}) + ... + (x_n + 7)}{N} = \frac{(x_1 + x_2 + ... + x_n) + (-7)*(n/2 - 0.5) + 7*(n/2 - 0.5)}{N} = \frac{(x_1 + x_2 + ... + x_n)}{N} = M$

So the mean does not change.

Because the mean is computed as the sum of the numbers divided by N, and the mean does not change, and N does not change, then the sum of the numbers does not change.

Finally, the standard deviation is computed as:

$SD = \sqrt{\frac{(x_1 - M)^2 + ... + (xn - M)^2}{N} }$

Because M does not change, if we add or subtract numbers to some of the values, the standard deviation will change (Because all the terms are squared, so the added and subtracted sevens don't cancel like in the previous cases)

Then the only value that does not have the same value in both the original and new data sets is the standard deviation.

6 0

3 years ago

I NEED HELP!!!

andrey2020 [161]

Answer:

<h2>B. The amount of fuel used was lowest at speeds around 60km/h.</h2>

Step-by-step explanation:

The decreasing part is from (20,13) to (60,6), which gives an average rate of

$r=\frac{6-13}{60-20}=-\frac{7}{40}=-0.175$

Then, we have an increasing part from (60,6) to (120,10), which gives an average rate of

$r=\frac{10-6}{120-60}=\frac{4}{60}=0.067$

Basically, at 60 km/h the fuel used was 6 liters per 100 kilometers. Notice that the other velocities make the car to use more liters per kilometers.

Therefore, the amount of fuel used was lowest at speeds around 60 km/h.

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3 years ago

Find the cost of 25 shares of stock at 11 1/4 per share

musickatia [10]

I believe the answer is 2.222222222

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3 years ago