Which of the following describes a set of data whose histogram approximates a normal curve? . check all that apply . a. the histogram of the data is exactly the same as the normal curve.. b. the observations trail off at values far from the mean.. c. all of the data values have to be positive.. d. most of the observations are near the mean of the data set.. e. the sum of the data values must be 1.

The correct options are B and D.

Step-by-step explanation:

It is provided that the histogram of a data set approximates a normal curve.

In case of a normal curve:

The 4th point implies that most of the data are closer to the mean of the distribution (μ).

So, if the data mentioned has a histogram that approximates a normal curve then,

Thus, the options that apply are B and D.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer