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3 years ago

Graph f(x)=−3/4x−4 . Use the line tool and select two points to graph the line.

Mathematics

1 answer:

lions [1.4K]3 years ago

3 0

Answer:

Two points on the line would be (0, -4) and (4, -7)

Step-by-step explanation:

In order to find this, we can start at the y-intercept. The y-intercept is the constant at the end of the equation. In this case it is -4, which gives us the first point of (0, -4).

We can find the second point by using the numerator of the slope to determine how much we go up or down (-3) and the denominator for how much we go left to right (4). So we add the 4 to the x value and add the -3 to the y value.

(4, -7)

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I got 1.1... is that right?

kap26 [50]

No, the answer is 2

X=2

This is because if we multiply the number by x which is 2

so DST is 110, and RSD is 44, so that is 154, and if we do it with RST we also get 154

So the correct answer is X=2

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3 years ago

The first quartile of the data set represented by the box plot is (8, 9, 12,14) . The median of the data set is (8, 12,16,19)

Andrei [34K]

The first quartile is 12. The median is 16!

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3 years ago

Read 2 more answers

20 POINTS!

White raven [17]

Answer:

Down here ↓↓↓↓↓↓

Step-by-step explanation:

13:

It is a function, notice that if you draw a vertical line anywhere, it doesn't pass two points.

Domain : All real numbers (x-values)

Range : 2 (y-values)

14:

Not a function, if you draw a vertical line through one point, it will hit two others.

Domain : -3

Range : 4 , 0, -4

15:

It is a function, no two points in any vertical line.

Domain: All real numbers

Range: All real numbers

16:

Not a function, two points in one line

Domain : -5 ≤ x ≤ 5

Range: -2 ≤ y ≤ 2

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

5 0

3 years ago

A cyclist travels 6 miles in 15 minutes. What is her average speed in mph?

Rasek [7]

Answer:

24 miles per hour

Step-by-step explanation:

A cyclist travels 6 miles in 15 minutes. What is her average speed in mph?

Step one:

given data

distance= 6 miles

time= 15 minutes

convert minutes to hours

15 minutes is 0.25hours

Step two:

speed= distance/time

speed= 6/0.25

speed= 24 miles per hour

3 0

3 years ago

With a height of 68 in, Nelson was the shortest president of a particular club in the past century. The club presidents of the

Ivahew [28]

Answer:

a. The positive difference between Nelson's height and the population mean is: $\\ \lvert 68-70.7 \rvert = \lvert 70.7-68 \rvert\;in = 2.7\;in$ .

b. The difference found in part (a) is 1.174 standard deviations from the mean (without taking into account if the height is above or below the mean).

c. Nelson's z-score: $\\ z = -1.1739 \approx -1.174$ (Nelson's height is below the population's mean 1.174 standard deviations units).

d. Nelson's height is usual since $\\ -2 < -1.174 < 2$ .

Step-by-step explanation:

The key concept to answer this question is the z-score. A z-score "tells us" the distance from the population's mean of a raw score in standard deviation units. A positive value for a z-score indicates that the raw score is above the population mean, whereas a negative value tells us that the raw score is below the population mean. The formula to obtain this z-score is as follows:

$\\ z = \frac{x - \mu}{\sigma}$ [1]

Where

$\\ z$ is the z-score.

$\\ \mu$ is the population mean.

$\\ \sigma$ is the population standard deviation.

From the question, we have that:

Nelson's height is 68 in. In this case, the raw score is 68 in $\\ x = 68$ in.
$\\ \mu = 70.7$ in.
$\\ \sigma = 2.3$ in.

With all this information, we are ready to answer the next questions:

a. What is the positive difference between Nelson's height and the mean?

The positive difference between Nelson's height and the population mean is (taking the absolute value for this difference):

$\\ \lvert 68-70.7 \rvert = \lvert 70.7-68 \rvert\;in = 2.7\;in$ .

That is, the positive difference is 2.7 in.

b. How many standard deviations is that [the difference found in part (a)]?

To find how many standard deviations is that, we need to divide that difference by the population standard deviation. That is:

$\\ \frac{2.7\;in}{2.3\;in} \approx 1.1739 \approx 1.174$

In words, the difference found in part (a) is 1.174 standard deviations from the mean. Notice that we are not taking into account here if the raw score, x, is below or above the mean.

c. Convert Nelson's height to a z score.

Using formula [1], we have

$\\ z = \frac{x - \mu}{\sigma}$

$\\ z = \frac{68\;in - 70.7\;in}{2.3\;in}$

$\\ z = \frac{-2.7\;in}{2.3\;in}$

$\\ z = -1.1739 \approx -1.174$

This z-score "tells us" that Nelson's height is 1.174 standard deviations below the population mean (notice the negative symbol in the above result), i.e., Nelson's height is below the mean for heights in the club presidents of the past century 1.174 standard deviations units.

d. If we consider "usual" heights to be those that convert to z scores between minus2 and 2, is Nelson's height usual or unusual?

Carefully looking at Nelson's height, we notice that it is between those z-scores, because:

$\\ -2 < z_{Nelson} < 2$

$\\ -2 < -1.174 < 2$

Then, Nelson's height is usual according to that statement.

7 0

3 years ago