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2 years ago

If y + 3y + 5y = -18, then what is the value of y?

Mathematics

2 answers:

Y_Kistochka [10]2 years ago

5 0

Answer:

y = -2

Step-by-step explanation:

Add up the coefficients of the three y terms:

(1 + 3 + 5)y = -18.

Then (9)y = -18.

Dividing both sides b y 9, we get:

y = -18/9, or y = -2.

kvasek [131]2 years ago

3 0

Answer:

y=-2

Step-by-step explanation:

In order to find out the value of y, we have to isolate the y. In order to do that, we first have to combine all like terms and we do that by adding the numbers with variables together.

1y+3y+5y=9y

9y=-18

Now we have to get the y by itself so we divide 9 on both sides of the equation because once we do that, we can cancel out the 9.

9/9=1 -18/9=-2

So the answer is y=-2.

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The Polk Company reported that the average age of a car on U.S. roads in a recent year was 7.5 years. Suppose the distribution o

Svetlanka [38]

Answer:

The standard deviation of car age is 2.17 years.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 7.5

(a) If 99.7% of the ages are between 1 year and 14 years, what is the standard deviation of car age?

This means that 1 is 3 standard deviations below the mean and 14 is 3 standard deviations above the mean.

$14 = 7.5 + 3\sigma$

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$3\sigma = 6.5$

$\sigma = \frac{6.5}{3}$

$\sigma = 2.17$

The standard deviation of car age is 2.17 years.

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2 years ago

Read 2 more answers

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Kruka [31]

Regular size saves $0.0003 per gram I think
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8 0

2 years ago

Calculate δe, if q= 0.764 kj and w= -830 j . express your answer using two significant figures.

Deffense [45]

Given:
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= 1594 J = 1.594 kJ

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2 years ago

Amina used the quadratic formula to solve an equation. Her result shows two solutions that are complex numbers with imaginary pa

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6 0

1 year ago

The data set below represents the ages of 36 executives. find the percentile that corresponds to an age of 4141 years old. 2828

solong [7]

Answer:

37th percentile.

Step-by-step explanation:

We have been given a data set that represents the ages of 36 executives. We are asked to find the percentile that corresponds to an age of 41 years.

28, 29, 29, 32, 32, 33, 34, 34, 34, 34, 37, 37, 38, 41, 41, 42, 45, 45, 47, 47, 47, 48, 50, 51, 53, 56, 56, 56, 61, 61, 62, 63, 64, 64, 65, 66.

Let us count the number of data points below and at 41.

We can see that the number of data points at and below 41 is 13.

We will use percentile formula to solve our given problem.

$\text{Percentile rank of x}=\frac{\text{Number of values below x}}{\text{Total number of data points}}\times 100$

$\text{Percentile rank of 41}=\frac{13}{36}\times 100$

$\text{Percentile rank of 41}=0.361111\times 100$

$\text{Percentile rank of 41}=36.11\approx 37$

Therefore, the percentile rank that corresponds to age of 41 years old is 37th percentile.

8 0

2 years ago