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3 years ago

Which statement best explains if the graph correctly represents the proportional relationship y = 0.5x?

Mathematics

2 answers:

yan [13]3 years ago

7 0

I believe the correct answer from the choices listed above is the first option. The statement that best explains the graph that shown below would be yes, the points shown on the line would be part of y = 0.5x. Hope this answers the question. Have a nice day.

ehidna [41]3 years ago

3 0

The correct answer is:

A) Yes, the points shown on the line would be part of y = 0.5x.

Explanation:

Looking at the graph, the line goes through (0, 0). If x=0, we have
y=0.5(0)=0.
This is the y-coordinate of the point, so it goes through this.

The equation for this line is in slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept. In this equation, m=0.5 and b=0. This means the slope is 0.5 or 1/2; since slope is rise/run, this means the line rises 1 for every horizontal increase of 2.

This means starting from (0, 0), we would go up 1 and over 2, creating the point (2, 1). Looking at the graph, the line goes through this point.

Next we would go up 1 and over 2 again, to (4, 2). Again, the line goes through this point.

We could follow all of the points on this line and they all fit.

You might be interested in

Combining like terms with rational coefficients 7/8m+9/10-2m-3/5

nikklg [1K]

Answer:

Ah yes, one of my favorite topics.

Step 1: Which ever fraction comes first, you will solve it first. For this question, focus on doing $\frac{7}{8}m-2m$ first. Afterwards, do $\frac{9}{10}-\frac{3}{5}$

Step 2: First one equals to 1.125. Next, find the LCD (lowest common dominator, which is 10). $\frac{9}{10} -\frac{6}{10}=\frac{3}{10}$

Step 3: 1.125+3/10

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3 years ago

Ms. Larson was driving home from a vacation. At noon, she was 120 miles from home. Half an hour later, she was 98 miles from hom

melomori [17]

Answer: her speed was “44 miles per hour”

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2 years ago

Find the area of the shape shown below.

steposvetlana [31]

Answer:

The area of the figure is 28 units².

Step-by-step explanation:

Find the area of the full rectangle, ignoring the triangle.

$a = lw \\ a = 4 \times 8 = 32$

Then, find the area of the triangle:

$a = \frac{bh}{2} \\ a = \frac{2 \times 4}{2} \\ a = 4$

Finally, subtract:

$32 - 4 = 28$

7 0

3 years ago

Use a statistics calculator to find the area, in decimal form, rounded to four places after the decimal, under the (standard) No

Jlenok [28]

Answer:

a) 0.9641.

b) 0.0082

c) 0.0277

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

(a) ...to the left of 1.8.

p-value of Z = 1.8, which, looking at the z-table, is of 0.9641.

(b) ...to the right of 2.4.

1 subtracted by the p-value of Z = 2.4.

Looking at the z-table, Z = 2.4 has a p-value of 0.9918.

1 - 0.9918 = 0.0082, which is the answer.

(c) ...between 1.8 and 2.4.

p-value of Z = 2.4 subtracted by the p-value of Z = 1.8.

From itens a and b, we have both. So

0.9918 - 0.9641 = 0.0277

6 0

3 years ago

A soccer team won only 10 of their first 30 games. How many of their remaining 20 games will they have to win to have a .500 rec

jeka94

Answer: 5 games

Step-by-step explanation: A .500 record means that the soccer team won half of their games ( that's how I interpret it). Since they are going to play 30 games, they need to win half of 30 or 15 games to have that record. 15-10 = 5. So, they need to win 5 more games to have a .500 record.

8 0

1 year ago