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Artist 52 [7]
3 years ago
13

Graph the line with slope 1/2 that passes through the point (-1,2).

Mathematics
1 answer:
enyata [817]3 years ago
8 0

9514 1404 393

Answer:

  see the attachment for a graph

Step-by-step explanation:

With the given point and slope, the equation of the line can be written in point-slope form:

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

  y -2 = 1/2(x +1) . . . . line with slope 1/2 through point (-1, 2)

__

Slope is the ratio of rise to run, so a slope of 1/2 means the line will rise 1 unit for each 2 units of run (to the right). If you're plotting this by hand, you can identify a second point that is 2 right and 1 up from the given point:

  (-1 +2, 2 +1) = (1, 3).

You can draw your line through those two points.

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A manufacturer of t-shirts marks a shirt as "irregular" when it has defects such as crooked seams, stains, rips, or holes. A sma
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Answer:

The test statistic value is 1.474.

Step-by-step explanation:

In this case we need to determine whether the plant is making a higher than expected number of irregular t-shirts.

If more than 8% of the t-shirts manufactured at a plant are classified as irregular, the manager has to do an investigation to try to find the source of the increased mistakes in the manufacturing process..

The hypothesis for this test can be defined as follows:

<em>H₀</em>: The proportion of irregular t-shirts is 8%, i.e. <em>p</em> = 0.08.

<em>Hₐ</em>: The proportion of irregular t-shirts is more than 8%, i.e. <em>p</em> > 0.08.

The information provided is:

<em>n</em> = 100

<em>X</em> = number of irregular t-shirts = 12

Compute the sample proportion as follows:

\hat p=\frac{X}{n}=\frac{12}{100}=0.12

Compute the test statistic as follows:

t=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}

  =\frac{0.12-0.08}{\sqrt{\frac{0.08(1-0.08)}{100}}}\\\\=1.47441\\\\\approx 1.474

Thus, the test statistic value is 1.474.

4 0
3 years ago
Write the word or phrase that best completes each statement or answers the question.
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Sylvia surveyed her classmates at school to find out who plays sports at her school.the table below shows the number of students
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Answer:

Using the info you just gave,

Basketball, 8 studentsfootball, 7 studentsSoccer 12 studentsother, 13 students

We can now figure out the percentage of students that did NOT select soccer.

First, you need to add all the students together.

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You get 40 students all together.

Now, add together the students that DID NOT choose soccer.

7 + 8 + 13 = 29

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Now, convert that to a percentage.

28/40 = 0.7

To make that into a percentage, multiply by 100

Thus, the percentage of students that did not select soccer is 70%.

Hope this helped!

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