A function assigns the values. The correct option is C, x=-6.
<h3>What is a Function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
A.) When the value of x is -12,
f(-12) = 2/3(-12) + 7 = -1
g(-12) = 2(-12) + 15 = -9
B.) When the value of x is -9,
f(-9) = 2/3(-9) + 7 = 1
g(-9) = 2(-9) + 15 = -3
C.) When the value of x is -6,
f(-6) = 2/3(-6) + 7 = 3
g(-6) = 2(-6) + 15 = 3
D.) When the value of x is -3,
f(-9) = 2/3(-3) + 7 = 5
g(-9) = 2(-2) + 15 = 11
Hence, the correct option is C, x=-6.
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Answer:
A'B' --> 3½ in.
D'E' --> 2½ in.
R'S' --> 4 in.
Step-by-step explanation:
Scale factor is ½,
So the lengths would be halved too
Answer:
B. 1.093
Step-by-step explanation:
I calculated it logically
Using implicit differentiation, it is found that the height of the pile is changing at a rate of 0.1415 feet per minute when the pile is 2 feet high.
The height of the pile is changing at a rate of 0.1415 feet per minute when the pile is 2 feet high.
The sample size of 36 will produce the widest 95% confidence interval when estimating the population parameter option (b) is correct.
<h3>What are population and sample?</h3>
It is described as a collection of data with the same entity that is linked to a problem. The sample is a subset of the population, yet it is still a part of it.
We have:
A sample has a sample proportion of 0.3.
Level of confidence = 95%
At the same confidence level, the larger the sample size, the narrower the confidence interval.
As we have a 95% confidence interval the sample size should be lower.
The sample size from the option = 36 (lower value)
Thus, the sample size of 36 will produce the widest 95% confidence interval when estimating the population parameter option (b) is correct.
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