Answer: 3.5
Step-by-step explanation:
To isolate c means to separate it completely on one side of the equals sign.
To isolate variables, you apply opposite operations.
In E = mc², m and c are being multiplied together. To separate them, you divide by the variable you want to get rid of. However, you must do this to both sides of the equation always. Whatever you do to one side of the equation you must do to the other side as well. This is so the equation remains true.
Since we want to isolate c, we'll start by dividing both sides by m.
E = mc²
E/m = mc²/m
E/m = c² -- The m's cancel as 1
Now we have c squared. The opposite of squaring something is taking its square root. Take the square root of each side.
E/m = c²
√(E/m) = √(c²)
√(E/m) = c -- Opposite operations cancel each other out
And you've isolated c!
Answer:
c = √(E/m)
Answer:
1. 167.55
2. 10.77
Step-by-step explanation:
For #1 use the formula for volume of cone: , and for #2 use the Pythagorean Theorem:
Answer:
16
Step-by-step explanation:
Answer:
So the answer for this case would be n=94 rounded up to the nearest integer
Step-by-step explanation:
Information given
represent the sample mean
population mean (variable of interest)
represent the population standard deviation
n represent the sample size
Solution to the problem
The margin of error is given by this formula:
(a)
And on this case we have that ME =120 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
The confidence2 level is 98% or 0.98 then the significance level would be and , the critical value for this case would be , replacing into formula (b) we got:
So the answer for this case would be n=94 rounded up to the nearest integer