Answer:
5
Step-by-step explanation:
To solve for hypotenuse we use the Pythagorean theorem:

In this theorem:
c= hypotenuse
a = leg
b = leg
Substitute into theorem:



(square root both sides)

Therefore the hypotenuse has a length of 5.
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Answer:
Step-by-step explanation:
The number of defective laptops = 6/145 * 100 as a percent.
The number of defective laptops = 4.13% in a sample of 145
A: False. The percentage should be the same for 290 laptops. The % does not change. The number of defective laptops will change (12)
B: True. It is a reason assertion that about 4% of all laptops will be defective.
C: True. It is not reasonable to assume that only 0.5 laptops will be defective. .5% is too small.
D: True. 10% is too high.
E: False. The variation should not be much.
B= -42 C= -38
So the difference going up to positive is 4 and the difference going down in negative is -4.
Answer:
f(x) = (3x - 7)/5
f^-1(x) = (5y + 7)/3
The DOMAIN is the set of all possible numbers that you can put in for the independent variable and get an answer. If you had g(x) = 1/x, you could NOT put in 0 for x and get an answer because 1/0 is undefined. So the domain is all numbers but 0.
The RANGE is the set of numbers you will get for the dependent variable. If you had g(x) = 1/x, you could NOT get 0 for g(x), no matter what you put in for x. So the range is all numbers but 0.
In both your functions the domain and the range equal all possible numbers. Or all real numbers.
Step-by-step explanation:
Another way to write the answers is:
D = {x | x = R} and R = {f(x) | f(x) = R} where
D = domain, R = range, { } means set, | is such that.