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3 years ago

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Find the constant of variation k for the inverse variation. Then choose the correct equation for the inverse variation.y = 4.5 w

hen x = 3

1 answer:

tino4ka555 [31]3 years ago

7 0

In verse variation is

y = k/x

4.5 = k / 3
k = 3*4.5 = 13.5

Equation is y = 13.5 / x

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Point Q is plotted on the coordinate grid. Point P is at (40, −20). Point R is vertically above point Q. It is at the same dista

lara31 [8.8K]

Answer:

$\displaystyle d_{RP}=50\sqrt{2}\ units$

Step-by-step explanation:

Distance between points in $R^2$

If P(p1,p2) and Q(q1,q2) are points on the plane $R^2$ , the distance between them is

$\displaystyle d=\sqrt{(q_1-p_1)^2+(q_2-p_2)^2}$

We have Q(-10,-20) plotted on the coordinate grid. We also know that P is at (40, -20). We can see they have the same y-coordinate, so the distance between them is computed simply by subtracting their x-coordinates

$\displaystyle d_{PQ}=40-(-10)=50$

We must locate R knowing it's vertically above Q (x-coordinate = -10) and at the same distance from point Q as point P is from point Q. That means that from R to Q there are 50 units. They-coordinate of R will be -20+50=30.

The point R is located at (-10,30)

The distance from R to P is

$\displaystyle d_{RP}=\sqrt{(-10-40)^2+(30+20)^2}$

$\displaystyle d_{RP}=\sqrt{(-50)^2+50^2}$

$\displaystyle d_{RP}=\sqrt{2500+2500}$

$\displaystyle d_{RP}=\sqrt{5000}$

$\displaystyle d_{RP}=50\sqrt{2}\ units$

7 0

3 years ago

1. Enter the product. 421 x 53 = 22,313 is this correct <br>

Dima020 [189]

Answer:

Step-by-step explanation:

Yes it is correct

6 0

3 years ago

Read 2 more answers

Find the indicated probability or percentage for the sampling error. The distribution of weekly salaries at a large company is r

Flauer [41]

Answer:

The probability that the sampling error made in estimating the mean weekly salary for all employees of the company by the mean of a random sample of weekly salaries of 80 employees will be at most $75 is 0.9297.

Step-by-step explanation:

According to the Central Limit Theorem if we have a non-normal population with mean <em>μ</em> and standard deviation <em>σ</em> and appropriately huge random samples (<em>n</em> > 30) are selected from the population with replacement, then the distribution of the sample means will be approximately normally distributed.

Then, the mean of the distribution of sample means is given by,

$\mu_{\bar x}=\mu$

And the standard deviation of the distribution of sample means is given by,

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}$

The information provided is:

$\mu=\$1000\\\sigma=\$370\\n=80$

As <em>n</em> = 80 > 30, the central limit theorem can be used to approximate the sampling distribution of sample mean weekly salaries.

Let $\bar X$ represent the sample mean weekly salaries.

The distribution of $\bar X$ is: $\bar X\sim N(\$1000,\ \$41.37)$

Now we need to compute the probability of the sampling error made in estimating the mean weekly salary to be at most $75.

The sampling error is the the difference between the estimated value of the parameter and the actual value of the parameter, i.e. in this case the sampling error is, $|\bar X-\mu|= 75$ .

Compute the probability as follows:

$P(-75$

$=P(-1.81$

Thus, the probability that the sampling error made in estimating the mean weekly salary for all employees of the company by the mean of a random sample of weekly salaries of 80 employees will be at most $75 is 0.9297.

3 0

3 years ago

I’m having a bit issue with them can someone please help?

Snezhnost [94]

You were on the right track. Here are two ways to go about it.

• By definition of conditional probability,

Pr[A | B] = Pr[A and B] / Pr[B]

Out of the total 100 participants in the survey, there are 18 people that both have a positive attitude and are over 35, so

Pr[positive and over 35] = 18/100

Out of the 100 pariticipants, 40 are over 35, so

Pr[over 35] = 40/100

Then the conditional probability you want is (18/100) / (40/100) = 18/40 = 9/20.

• There are 40 people over 35 in the survey. You want the probability that someone randomly chosen from this group has a positive attitude, of which there are 18. Hence the probability is 18/40 = 9/20.

5 0

2 years ago

One triangular face of the prism shown has an interior angle with a measure of 65° and an exterior angle with a measure of 120°.

PolarNik [594]

Answer:

55

Step-by-step explanation:

120 - 65 = 55

7 0

3 years ago

Read 2 more answers