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Illusion [34]
3 years ago
5

If x varies directly with y and x=6 when y=8, find x when y=18.

Mathematics
1 answer:
andrey2020 [161]3 years ago
6 0

Answer:

x = 13.5

Step-by-step explanation:

direct variation

y = kx

substitute x and y to find k

8 = k*6

divide by 6

8/6 =k

4/3 = k

y = 4/3 x

now put in y =18

18 = 4/3 x

 multiply by 3/4

18 * 3/4 = 3/4 * 4/3 x

54/4 = x

change to a decimal

13.5 =x


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The city of Raleigh has 11700 registered voters. There are two candidates for city council in an upcoming election: Brown and Fe
Vesnalui [34]

Answer:

The sample statistic for the proportion of voters surveyed who said they'd vote for Brown is 0.308.

The expected numbers of voters who would vote for Brown is 3604.

Step-by-step explanation:

The sample statistic is a numerical quantity used to represent a characteristic of a sample. For example, sample mean is a sample statistic representing the average of the sample. Or, sample proportion is a sample statistic representing the proportion of a particular variable in the sample. Or sample variance is a sample statistic representing the variance of the sample.

The sample statistic can be used to estimate the population parameter.

They are known as the point estimate of the parameter.

The sample proportion of a variable <em>X</em> is given by:

\hat p=\frac{X}{n}

It is provided that of the <em>n</em> = 250 registered voters selected, the number of voters who said they would vote for Brown is <em>X </em>= 77.

Compute the sample statistic for the proportion of voters surveyed who said they'd vote for Brown as follows:

\hat p=\frac{X}{n}

  =\frac{77}{250}\\

  =0.308

Thus, the sample statistic for the proportion of voters surveyed who said they'd vote for Brown is 0.308.

Compute the expected number of people of the 11700 registered voters who would vote for Brown as follows:

E(X)=N\times \hat p

         =11700\times 0.308\\=3603.6\\\approx 3604

Thus, the expected numbers of voters who would vote for Brown is 3604.

6 0
3 years ago
1+4x/6=3.5<br> What is x
bagirrra123 [75]

Answer:

x=3+3/4

Step-by-step explanation:

1+4x/6=3.5

We move all terms to the left:

1+4x/6-(3.5)=0

We add all the numbers together, and all the variables

4x/6-2.5=0

We multiply all the terms by the denominator

4x-(2.5)*6=0

We add all the numbers together, and all the variables

4x-15=0

We move all terms containing x to the left, all other terms to the right

4x=15

x=15/4

x=3+3/4

3 0
3 years ago
What is the x coordinate of the solution? <br> What is the y coordinate of the solution?
Alexus [3.1K]

Answer:

the x coordinate is 1

the y coordinate is 1

Step-by-step explanation:

3 0
3 years ago
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Please help me somebody!!! I really struggle with this in math class!
Tresset [83]

Answer:

y - 9 = -\frac{4}{3}(x - 3)  

Step-by-step explanation:

Given the points (3, 9) and (9, 1), we must first solve for the slope of the line before proceeding with writing the point-slope form.

In order to solve for the slope (<em>m </em>), use the following formula:

m = (y₂ - y₁)/(x₂ - x₁)

Let (x₁, y₁) =  (3, 9)

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Substitute these values into the given formula:

m = (y₂ - y₁)/(x₂ - x₁)

m = (1 - 9)/(9 - 3)

m = \frac{-8}{6} = \frac{-4}{3}

Therefore, the slope of the line, m = -4/3.

Next, using the slope, m = -4/3, and one of the given points, (x₁, y₁) = (3, 9), substitute these values into the following point-slope form:

y - y₁ = m(x - x₁)

y - 9 = -\frac{4}{3}(x - 3)  ⇒ This is the <u>point-slope form</u>.

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Write 807,530,012 in Word Form
finlep [7]
Eight hundred seven million, five hundred thirty thousand, twelve
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3 years ago
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