Answer:
-3/2 or 1.5
Step-by-step explanation:
5n + 10 = n + 4
5n - n = -10 + 4
4n = -6
n = -6/4
n = -3/2 (or -1.5)
Answer: D) the significance level of the test
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Explanation:
The significance level of the test, also known as "alpha", is the probability of making a type 1 error. A type 1 error is where you reject the null hypothesis but it was true all along.
The null hypothesis is where we test a certain probability distribution (eg: normal distribution). Specifically we gather a sample of values and compute the test statistic. If the probability of getting that test statistic or more extreme is smaller than alpha, then we reject the null. This probability value is known as the p-value.
If you lower the alpha value, then that will make it more likely you do not reject the null. Consider an example where alpha = 0.10 to start with. If you get a p-value of 0.02, then you would reject the null. The same would apply for alpha = 0.05; however, with alpha = 0.01, the p-value is no longer smaller than alpha. At this point we do not reject the null. Your textbook may use the phrasing "fail to reject the null".
Going in the opposite direction, increasing the alpha value will make it more likely to reject the null. Each time you adjust the alpha value, keep the p-value to some fixed number (between 0 and 1).
7.5, 7.058, 8.508,
8.58
Step-by-step explanation:
The fourth graders raised 175 more than 1,000 for the local animal shelter.
First, let us identify the given.
- Target value to raise= 1,000
- Profit from bake sale= 465
- Profit from t-shirt sales= 710
How much money did the fourth graders raise? The sum of the profit from the bake sale and t-shirt sales determines the total money raised.
Total money= Profit from bake sale + Profit from t-shirt sales
Total money= 465 + 710
Total money= 1175
How much more than 1,000 have the fourth graders raised? This amount is equivalent to the difference between the total money raised and the target amount, 1,000.
Total money-target amount
1175-1000= 175
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