The answer is I believe: 21
Answer:
1. 0, 2. -1/2, 3.undefined, 4. -5/3, 5. 6, 6. -2, 7. 23/17
Step-by-step explanation:
y2 - y1 / x2 - x1
1. -18 - -18 / 15 - 6 = 0
2. 16 - 12 / 0 - 8 = -4/8 = -1/2
3. 37 - 2 / -15 - -15 is undefined (can't have 0 as denominator)
4. 30 - 20 / -5 - 1 = 10 / -6 = -5/3
5. -36 - -12 / 4 - 8 = -24 / -4 = 6
6. - 23 - -15 / 11 - 7 = -8 / 4 = -2
7. 100 - 54 / -38 - -72 = 46 / 34 = 23/17
There is not enough evidence to support the administrator’s claim and the true mean is not significantly greater than 280.
<h3>What is a statistical hypothesis?</h3>
A hypothesis to test the given parameters requires that we determine if the mean score of the eighth graders is more than 283, thus:
The null hypothesis:
![\mathbf{H_o \leq 283}](https://tex.z-dn.net/?f=%5Cmathbf%7BH_o%20%5Cleq%20283%7D)
The alternative hypothesis:
![\mathbf{H_i > 283}](https://tex.z-dn.net/?f=%5Cmathbf%7BH_i%20%3E%20283%7D)
From the population deviation, the Z test for the true mean can be computed as:
![\mathbf{Z = \dfrac{\hat X - \mu _o}{\dfrac{\sigma}{\sqrt{n}}}}](https://tex.z-dn.net/?f=%5Cmathbf%7BZ%20%3D%20%5Cdfrac%7B%5Chat%20X%20-%20%5Cmu%20_o%7D%7B%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D%7D)
![\mathbf{Z = \dfrac{283 -280}{\dfrac{37}{\sqrt{87}}}}](https://tex.z-dn.net/?f=%5Cmathbf%7BZ%20%3D%20%5Cdfrac%7B283%20-280%7D%7B%5Cdfrac%7B37%7D%7B%5Csqrt%7B87%7D%7D%7D%7D)
Z = 0.756
Note that, since we are carrying out a right-tailed test, the p-value for the test statistics is expressed as follows:
P(z > 0.756)
P = 0.225
Since the P-value is greater than the significance level at α = 0.14, we can conclude that there is not enough evidence to support the administrator’s claim and the true mean is not significantly greater than 280.
Learn more about hypothesis testing here:
brainly.com/question/16251072
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The Sean's number is x. Formulate the equation:
x * 5 : 2 = 30
5x = 30 * 2
5x = 60
x = 60 : 5
x = 12
Answer: the Sean's number is 12.
Answer:
80 buckets of red paint
Step-by-step explanation:
Given
The ratio of buckets of yellow paint to buckets of red paint in the store to be 3:4
Total ratio = 3 + 4 = 7
Amount of yellow paint = 60
Required
Amount of red paint.
First get the total amount of paint used.
3/7 * x = 60
x is the total paint used
3x/7 = 60
3x = 7*60
x = 420/3
x = 140 buckets of paint
Amount of red paint = Total - Amount of yellow paint
Amount of red paint = 140 - 60
Amount of red paint = 80
Hence there are 80 buckets of red paint in the store