Answer:
a = g/c - r/c + d/c
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable
First, you separate the h variable by subtracting s^2 on both sides of the equation, getting
V - s^2 = sh/2
Then, all you have to do is divide both sides by s/2, so you get
h = 2*(v - s^2)/s as your final answer.
Step-by-step explanation:


To solve this system of equations, let's first add the equations together:




There are no values of
that will make this equation true, so the lines never intersect, and therefore there are no solutions to this system of equations.
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
Given A = {a, e, i, o, u} and B = {a, l, g, e, b, r}, find A ∪ B.
harkovskaia [24]
Ahh..this is sets topics - A U B = all the elements found in A and B. But do note, do not repeat the elements if it is the same. And if the question were to ask : n(AUB) = total number of elements found in A and B.