Answer:
57,59,61
Step-by-step explanation:
x=middle integer
x+2=odd number above
x-2=odd number below
(x+2)+(x-2)+x=177
3x=177
177/3=x
x=59
59+2=61
59-2=57
Answer:
62.92
Step-by-step explanation:
Using the z-distribution, the test statistic is:
c) -2.63.
<h3>What are the hypothesis tested?</h3>
At the null hypothesis we test if the means are equal, equivalent to a subtraction of 0, hence:

At the alternative hypothesis, we test if they are different, hence:

<h3>What are the mean and the standard error for the distribution of differences?</h3>
For each sample, they are given as follows:
.
.
For the distribution of differences, it is given by:
.
<h3>What is the test statistic?</h3>
The test statistic is given by:

In which
is the value tested at the null hypothesis.
Hence:


z = -2.63.
More can be learned about the z-distribution at brainly.com/question/13873630
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The explicit formula of the sequence is given by a_n = -4n(n-1).
We have to find the first five terms of the sequence.
The first term:

The second term:

The third sum:

The fourth term:

The fifth term:

Thus, option D is correct.
Answer: The answer is 15.
Step-by-step explanation:
In the question, we are informed:
2 1/2 cups sugar for the cake and 1 1/4 cup sugar for the vanilla icing are called for in Mr. Smith's recipe.
1st step
We total the amount of sugar he'll require.
1 1/4 + 2 1/2
(1/2 + 1/4) + (2 + 1)
= 3 + (2 Plus a quarter)
a total of 3 3/4 cups of sugar
2nd Step
How many 1/4 cup sugar scoops does he require?
This can be calculated as follows:
1/4 cup sugar 3 3/4 cup sugar
= 15/4 x 1/4 = 15/4 x 1/4 = 15/4 x 1/4 =
= 15/4/4 = 15/4/4 = 15/4/4 = 15/4/4 = 15/4
15
As a result, he'll require 15, 1/4 cup sugar scoops.