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Stells [14]
3 years ago
7

Jacob is solving the equation 3√3q = 27 for q. His work is shown.

Mathematics
1 answer:
coldgirl [10]3 years ago
6 0

The given problem is stated as below:

3√3q = 27

√3q = 9

(√3q)^ = 9^

(^ stands for squared )

3q = A

Therefore we have,

A = 9^

or, A = 81

Again it is given that,

3q = A

or, 3q = 81.

or, q = 81/3 = 27

q = 27

As per the problem q = B,

therefore we can conclude that B = 27

So by solving the problem we get the final answer as below:

A = 81 and B =27

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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
Solve the equation <br> 3|x – 2|+2 = 17
grigory [225]

Answer:

-3, 7 = x

Step-by-step explanation:

3|x – 2| + 2 = 17

- 2 - 2

________________

3|x - 2| = 15

_______ ___

3 3

|x - 2| = 5

x - 2 =  -5 \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  x - 2 = 5

+ 2 + 2 + 2 + 2

_______________ ____________

x = -3 x = 7

I am joyous to assist you anytime.

5 0
3 years ago
Find the perimeter of the triangle
OleMash [197]

Answer:

73.7

Step-by-step explanation:

14 +14 +23+22.7=73.7

8 0
3 years ago
$5 bundle of candy that is 2% off. Sales tax 100%. What is the new Total?​
Mariulka [41]

Answer:

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Step-by-step explanation:

6 0
3 years ago
Not really getting this can someone plz explain.
Komok [63]

your answer would be b becuase that is 3/6 so thats half and ou would simply it and 1/4 do the same

7 0
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