Let
x--------> the first <span>odd integer
x+2-----> </span>the second odd integer
x+4-----> the third odd integer
we know that
6(x+2)-2x=20+(x+2)+(x+4)
6x+12-2x=26+2x
4x-2x=26-12
2x=14
x=7
the answer is
the numbers are
7, 9 and 11
Answer:
The volume each of the four barrels of the same size will be at least 47.5 liters.
Step-by-step explanation:
Let the volume of each of the four barrels is v liters.
Now, the amount of water that can be held in the fifth barrel is 10 liters. The total capacity of holding water for the 5 barrels combines is at least 200 liters.
So, from the above-given information, we can write the inequality to determine the volume of each of the four barrels will be
10 + 4v ≥ 200
Solving this we get,
4v ≥ 190
⇒ v ≥ 47.5
Therefore, the volume each of the four barrels of the same size will be at least 47.5 liters. (Answer)
Answer:
180
Step-by-step explanation:
30x3=90-30+50
Using the z-distribution, the p-value would be given as follows:
b) 0.0086.
<h3>What are the hypothesis tested?</h3>
At the null hypothesis we test if the means are equal, hence:
At the alternative hypothesis, it is tested 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:
Hence, for the distribution of differences, they are 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.
Using a z-distribution calculator, for a two-tailed test, with z = -2.63, the p-value is of 0.0086.
Hence option B is correct.
More can be learned about the z-distribution at brainly.com/question/13873630
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