Answer: 14a - b - 3c + 21
Answer:
t = -1.428
Step-by-step explanation:
Average blood pressure among people with high responsibility jobs = u = 140 mm
Number of people sampled for the study = n = 51
Average blood pressure of the sample = x = 139 mm
Standard deviation of the sample = s = 5 mm
The claim is that practicing yoga decreases the blood pressure. So we have to test that after practicing yoga, the average blood pressure will be lesser than 140. Based on this we can formulate the null and alternate hypothesis as:
Null Hypothesis: 
Alternate Hypothesis: 
Since population standard deviation is not known, we cannot use z-distribution for this test. We are given the value of sample standard deviation, so t-test will be used for this case.
Test statistic is calculated as:

Using the values in this formula gives us:

Therefore, the value of test statistic is -1.428
Answer:
10
Step-by-step explanation:
A scale factor of 2/3 means multiplying all side lengths by 2/3
15*2/3=10
Given :7872 ÷ 305.
Because it's estimation. So, we need to estimate the number 7872 to 8000.
In order to divide 8000 by a number we need to estimate 305 to the 400. Because 400 is exact divisor of 8000.
If we divide 8000 by 400 we get 20.
And it's obviously less then 60000 ÷ 300= = 200.
20 < 200.
<h3>Therefore, Harrison is absolutely correct.</h3>
Answer:
5x + 3
Step-by-step explanation:
Since we can see DC is the median of Triangle ABC
So it breaks the into two equal parts
Given
AD = 2x + 5
BD = 3x - 2
Now
AB = AB + BD
= 2x + 5 + 3x - 2
= 5x + 3
Hope it will help :)❤