Identify the restrictions on the domain of f(x) = x+2/x-3 x≠-2 x≠2 x≠-3 x≠3
1 answer:
Answer:
x ≠ 3
Step-by-step explanation:
The denominator of ...
f(x) = (x+2)/(x -3)
is zero when x=3, so the function is not defined there. Values of x for which the function is not defined are not part of the domain.
The restriction is: x ≠ 3.
_____
Please note that parentheses are required around numerators and denominators when a rational function is written in plain text. When it is typeset:
the division bar serves as a grouping symbol. In plain text, we cannot tell where numerator and denominator begin and end unless some other grouping symbol (parentheses) is used.
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Answer:
a. n=4148
b. n=3909
c. The sample size is smaller if a known proportion from prior study is used. The difference in sample sizes is 239
Step-by-step explanation:
a. For sample where no preliminary estimate is given, the minimum sample size is calculated using the formula:
Where:
Margin of error
is the assumed proportion
#Let p=0.5, substitute in the formula to solve for n:
Hence, the minimum sample size is 4148
b. If given a preliminary estimate p=0.38, we use the same formula but substitute p with the given value:
Hence, the minimum sample size is 3909
c. Comparing the sample sizes from a and b:
Hence, the actual sample size is smaller for a known proportion from prior a prior study.
Answer:
The amount of paper needed = 363.3 in²
Total amount of paper and plastic needed = 564.3 in
Step-by-step explanation:
As the diagram isn't given.
Consider a right cone shown in the ATTACHMENT.
where
r = 8 in
h = 12 in
First find the value of hypotenuse s by using Pythagoras theorem
<h3>Find Lateral Area:</h3>The amount of paper needed to cover the candle is lateral area, which is given by:
Total amount of paper and plastic is the surface area:
Answer:
Step-by-step explanation:
The exponent of positive 1/2 is the square root of 60
60 ^1/2 =