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3 years ago

Describe the slope of the line Find the slope. m =

Mathematics

1 answer:

spin [16.1K]3 years ago

4 0

Answer:

m = -3/5

Step-by-step explanation:

Since the line is going downwards towards the right, it is a negative slope.

We can use the points to solve for the slope.

m = -2 - 1 / 2 - (-3)

m = -2 - 1 / 2 + 3

m = -3/5

Therefore, the slope is -3/5.

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Beth runs a catering business and needs 64 pints of water every day. She gets water in 2- gallon jugs. How many jugs does she ne

Yanka [14]

64 divided by 8 is 8. 8 pints fit in one gallon. She carries 2-gallon jugs, so that's 16 pints. So each day she carries 4 2 gallon jugs to meet her catering business demands.

5 0

4 years ago

Find the missing side round your answer to the nearest tenth

ExtremeBDS [4]

Answer:

x = 38.4

Step-by-step explanation:

tan(38) = 30/x

x = 30/tan(38)

x = 38.4

Answered by GAUTHMATH

3 0

3 years ago

What is the equation of the line

olga2289 [7]

Answer:

It's the first choice y = (-5/2)x - 1.

Step-by-step explanation:

First find the slope of the line 5x + 2y = 12 by converting to slope-intercept form.

5x + 2y = 12

2y = -5x + 12

y = (-5/2)x + 6 so the slope is (-5/2).

The line we require had also a slope of -5/2 because it is parallel to the first line and it also passes through the point (-2, 4). So:

y - 4 = (-5/2)(x - -2) (the point-slope form)

y - 4 = (-5/2)(x + 2)

y = (-5/2)x - 5 + 4

y = (-5/2)x - 1 (answer)

7 0

3 years ago

Suppose a professional golfing association requires that the standard deviation of the diameter of a golf ball be less than 0.00

Bingel [31]

Answer:

We conclude that the standard deviation of the diameter of a golf ball is less than 0.005 inch.

Step-by-step explanation:

We are given that a professional golfing association requires that the standard deviation of the diameter of a golf ball be less than 0.005 inch.

Assume that the population is normally distributed: 1.678, 1.681, 1.676, 1.684, 1.676, 1.679, 1.681, 1.681, 1.677, 1.676, 1.681, 1.683.

Let $\sigma$ = population standard deviation of the diameter of a golf ball.

SO, Null Hypothesis, $H_0$ : $\sigma \geq$ 0.005 inch {means that the standard deviation of the diameter of a golf ball is more than or equal to 0.005 inch}

Alternate Hypothesis, $H_0$ : $\sigma$ < 0.005 inch {means that the standard deviation of the diameter of a golf ball is less than 0.005 inch}

The test statistics that would be used here One-sample Chi-square test statistics;

T.S. = $\frac{(n-1)s^{2} }{{\sigma^{2} }}$ ~ $\chi^{2} __n_-_1$

where, s = sample standard deviation = $\sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }$ = 0.00281 inch

n = sample size = 12

So, the test statistics = $\frac{(12-1)\times 0.00281^{2} }{{0.005^{2} }}$ ~ $\chi^{2} __1_1$

= 3.47

The value of chi-square test statistics is 3.47.

Also, the P-value of test statistics is given by the following formula;

P-value = P( $\chi^{2} __1_1$ < 3.47) = 0.0182

Since, the P-value of the test statistics is less than the level of significance as 0.0182 < 0.05, so we reject our null hypothesis.

Now, at 0.05 significance level the chi-square table gives critical value of 4.575 at 11 degree of freedom for left-tailed test.

Since our test statistic is less than the critical value of chi-square as 3.47 < 4.575, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the standard deviation of the diameter of a golf ball is less than 0.005 inch.

7 0

3 years ago

Two friends share 7 cookies equally .How many cookies does each friend get

algol13

Answer:

they would get 3 1/2

Step-by-step explanation:

because if there's two friends and seven cookies one friend we get three and the other one will get three and they could split the other cookie in half so that each Friend can have three cookies and a half if they split

7 0

4 years ago