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Leto [7]
2 years ago
6

A. y= 1/2x-14 B. y=1/2x-5 C. y=2x-14 D. y=2x-5

Mathematics
1 answer:
DanielleElmas [232]2 years ago
6 0

Answer:

B. y=1/2x-5

Step-by-step explanation:

From the graph, we read the slope of line JK.

slope = rise/run = -3/-6 = 1/2

The equation we need has the same slope.

y = mx + b

y = (1/2)x + b

It passes through point P(6, -2). Now we find b.

-2 = (1/2)(6) + b

-2 = 3 + b

b = -5

The equation is

y = (1/2)x - 5

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Mr. Peter's has 80 sheets of colored paper. Seven of his students need the paper for a project. How many sheets does each studen
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Each student gets 11 pieces.

Step-by-step explanation:

80 ÷ 7 = 11.42857

80 divided by 7 comes out to a decimal therefore, you will have a remainder. 7 × 11 = 77

The answer would be 11 remainder 3.

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Step-by-step explanation:

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8 0
3 years ago
1. The national mean (μ) IQ score from an IQ test is 100 with a standard deviation (s) of 15. The dean of a college wants to kno
Nat2105 [25]

Answer:

We conclude that the mean IQ of her students is different from the national average.

Step-by-step explanation:

We are given that the national mean (μ) IQ score from an IQ test is 100 with a standard deviation (s) of 15.

The dean of a college want to test whether the mean IQ of her students is different from the national average. For this, she administers IQ tests to her 144 students and calculates a mean score of 113

Let, Null Hypothesis, H_0 : \mu = 100 {means that the mean IQ of her students is same as of national average}

Alternate Hypothesis, H_1 : \mu\neq 100  {means that the mean IQ of her students is different from the national average}

(a) The test statistics that will be used here is One sample z-test statistics;

               T.S. = \frac{Xbar-\mu}{\frac{s}{\sqrt{n} } } ~ N(0,1)

where, Xbar = sample mean score = 113

              s = population standard deviation = 15

             n = sample of students = 144

So, test statistics = \frac{113-100}{\frac{15}{\sqrt{144} } }

                             = 10.4

Now, at 0.05 significance level, the z table gives critical value of 1.96. Since our test statistics is more than the critical value of z which means our test statistics will fall in the rejection region and we have sufficient evidence to reject our null hypothesis.

Therefore, we conclude that the mean IQ of her students is different from the national average.

3 0
4 years ago
Lexi2984 can u help me with this question
arsen [322]

9514 1404 393

Answer:

  see the attachment

Step-by-step explanation:

The x- and y-intercepts are easily found:

<u><em>X-intercept</em></u>

Set y = 0 and divide by the coefficient of x.

  -x +0 = 8

  x = -8

__

<u><em>Y-intercept</em></u>

Set x = 0 and divide by the coefficient of y.

  0 -2y = 8

  y = -4

__

Now, we have two points on the graph: (-8, 0) and (0, -4). A third point can be one that is halfway between these: (-4, -2). The graph is attached.

7 0
3 years ago
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