All categories

3 years ago

The set of possible values of m is {5,7,9}. What is the set of possible values of k if 2k=m+3?

1 answer:

4 0

Just plug in the values for m

so the possible values for k are
when m=5
$2k=5+3 \\ k=4$
when m=7
$2k=7+3 \\ 
k=5$
when m=9
$2k=9+3 \\ k=6$
so the possible values for k are {4,5,6}

You might be interested in

What is the formula for calculating the area of a circle.

Tom [10]

Answer:

$A=\pi\times r^2$

Step-by-step explanation:

In order to find the area of a circle we multiply π by the radius, and to find the radius of a circle we have to look at the line that stops directly in the middle of the circle.

$\pi\times r$

Once we then have the radius, we simply multiply the radius, (with an exponent of 2) by π and then we will have our answer. Of course, round if needed.

$A=\pi\times r^2$

Hope this helps.

6 0

2 years ago

Suppose that the quarterly sales levels among health care information systems companies are approximately normally distributed w

cupoosta [38]

Answer:

The cutoff sales level is 10.7436 millions of dollars

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 12, \sigma = 1.2$

15th percentile:

X when Z has a pvalue of 0.15. So X when Z = -1.047.

$Z = \frac{X - \mu}{\sigma}$

$-1.047 = \frac{X - 12}{1.2}$

$X - 12 = -1.047*1.2$

$X = 10.7436$

The cutoff sales level is 10.7436 millions of dollars

6 0

3 years ago

In this figure, what can be concluded about the distance from point B to CD?

maxonik [38]

It is the same distance from the point A to CD

4 0

3 years ago

Read 2 more answers

Nathan wants to use coordinate geometry to prove that the opposite sides of a rectangle are congruent. He places parallelogram A

valentina_108 [34]

<h3><u>Answer:</u></h3>

The formula determine the distance from C to D is:

$\sqrt{(0-a)^2+(-b)^2}=\sqrt{a^2}=a$

<h3><u>Step-by-step explanation:</u></h3>

The formula that can be used to determine the distance from point C to point D is:

$\sqrt{(0-a)^2+(-b)^2}=\sqrt{a^2}=a$

We know that distance between two points A(a,b) and B(c,d) is equal to the length of the line segment AB and is calculated by the help of the formula:

$\sqrt{(c-a)^2+(b-d)^2}$