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Ilya [14]
3 years ago
6

Which of the following functions shows the absolute value parent function f(x)=|x| vertically compressed

Mathematics
1 answer:
GenaCL600 [577]3 years ago
3 0

The answer is the option A, which is: A. G(x)= \frac{1}{4}|x|

 The explanation for this problem is shown below:

1. The compressing of this functions is defined by the function y=a|x|

Where a is the constant and it must be: a

2. As you can see, the only constant that is less than one is the constant of the first function G(x)=\frac{1}{4}|x|, where a=\frac{1}{4}

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If f(x) = 16x – 30 and g(x) = 14x – 6, for which value of x does (f – g)(x) = 0?
Kay [80]

(f – g)(x) = 0

16x-30 -(14x-6) =0

distribute

16x-30 -14x+6 = 0

combine like terms

2x-24=0

add 24 to each side

2x=24

divide by 2

x=12

Answer: x=12


6 0
3 years ago
A power plant discharges water into a river. Regulators determine that as long as the mean temperature of the discharged water i
nlexa [21]

Answer:

(A) Type I error in the context of this problem is chances of regulators believing that the mean temperature of the discharged water is more than 150°F but in actual the mean temperature of the discharged water was 150°F.

(B) Type II error in the context of this problem is chances of regulators believing that the mean temperature of the discharged water is no more than 150°F but in actual the mean temperature of the discharged water was more than 150°F.

(C) An environmental group will consider the Type II error more serious.

Step-by-step explanation:

We are given that a power plant discharges water into a river. Regulators determine that as long as the mean temperature of the discharged water is no more than 150°F, there will be no negative effects on the river’s ecosystem.

We are also given with the following hypothesis;

Null Hypothesis, H_0 : \mu = 150°F

Alternate Hypothesis, H_a : \mu > 150°F

(A) <u><em>Type I error</em></u><em> states that Probability of rejecting null hypothesis given the fact that null hypothesis was true or in other words Probability of rejecting a true hypothesis.</em>

So, Type I error in the context of this problem is chances of regulators believing that the mean temperature of the discharged water is more than 150°F but in actual the mean temperature of the discharged water was 150°F.

(B) <u><em>Type II error </em></u><em>states that Probability of accepting null hypothesis given the fact that null hypothesis was false or in other words Probability of accepting a false hypothesis.</em>

So, Type II error in the context of this problem is chances of regulators believing that the mean temperature of the discharged water is no more than 150°F but in actual the mean temperature of the discharged water was more than 150°F.

(C) An environmental group will consider the Type II error more serious because by committing Type II error they believe that the mean temperature of the discharged water is no more than 150°F and they assume that there is no negative effects on the river’s ecosystem but in reality that the mean temperature of the discharged water was more than 150°F and it is producing negative effects on the river’s ecosystem.

8 0
3 years ago
What is the range of the function y= squareroot of x+5?
Mnenie [13.5K]
Y + 5 = 0
y >= -5
Therefore, you would choose the first answer.
5 0
2 years ago
Read 2 more answers
What is the prime factorization of 96?<br> 0 25.32<br> 25.3<br> 02.2.2.2.3<br> 8.12
Nina [5.8K]

Answer:

8.12

Step-by-step explanation:

we first multiply 8 by 12 and we will get 96 as our answer

7 0
3 years ago
if you flip a coin and roll a 6-sided die, what is the probability that you will flip a tails and roll more than a 4
Nutka1998 [239]

Answer:

12

Step-by-step explanation:

When you a coin flips there are 2 possible outcomes which are either heads, or tailer, when you roll a die there are six outcomes, one to six. Putting these together means you have a total of 2×6=12 outcomes

4 0
3 years ago
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