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Gwar [14]
3 years ago
7

Compare and Contrast: Below are two equations. Solve each equation and compare the two solutions. Choose the statement that is t

rue about each solution. (3 points)
Equation #1
|2x - 3| = -17

Equation #2
|5x + 3| = 12

a-Equation #1 and Equation #2 have the same number of solutions.
b-Equation #1 has more solutions than equation #2.
c-Equation #1 has fewer solutions than equation #2.
d-None of the statements above describe the number of solutions to equations shown.
Mathematics
1 answer:
grin007 [14]3 years ago
5 0
Equation #1:
|2x - 3| = 17
The first solution is
2x - 3 = 17
2x = 17 + 3 = 20
x = 10
The second solution is
3 - 2x = 17
-2x = 17 - 3 = 14
x = -7
The solutions are x = 10 or x = -7.

Equation #2:
|5x + 3| = 12
The only solution is
5x + 3 = 12
5x = 12 - 3 = 9
x = 9/5

Let us examine the given answers.
a. Equation #1 and #2 have the same number of solutions.
    FALSE
b. Equation @1 has more solutions than Equation #2.
    TRUE
c. Equation #1 has fewer solutions than equation #2.
    FALSE
d. None of the statements a,b, or c apply.
    FALSE

Answer: b.

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Answer:

Type I error:

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Type II error:

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Step-by-step explanation:

In this case:

The null hypothesis (H0) states that mean rainfall is minimal

The alternative hypothesis (H1) states that mean rainfall is heavy.

A type I error occurs if one rejects the null hypothesis when it is actually true.

In this case; if the rainfall is minimal enough to operate safely and the ride is shut down is an example of Type I error because the null hypothesis is true and it is rejected.

A type II error occurs if one does not reject the null hypothesis when it is false, that is one accept the null hypothesis when it is false.

In this case; the null hypothesis is false and it is accepted is an example of type II error. So, the rainfall is too heavy to operate safely (means null hypothesis is false) and the ride continues to operate (means the null hypothesis is accepted when it is false).

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