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andreev551 [17]
3 years ago
10

Which of the following is the equation of a line that is parallel to y=5x-3 and that passes through the point (2,5)

Mathematics
1 answer:
Travka [436]3 years ago
3 0

parallel to the line y = 5x - 3, so the other lines must have same slope m = 5

y - y1 = m(x - x1)

y - 5 = 5(x-2)

y = 5x - 10 + 5

y = 5x - 5

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RideAnS [48]

Answer: 4/3

Step-by-step explanation:

What are the corresponding sides?

4 and 3

8 and 6

9 and 6.75

This is very easy, just make a fraction

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2 years ago
1) If the alpha level is changed from α = .05 to α = .01, what happens to boundaries for the critical region?
Alexxandr [17]

Answer:

1) a. Move farther into the tails

2) a. Decreases

Step-by-step explanation:

Hello!

1)

Let's say for example that you are making a confidence interval for the mean, using the Z-distribution:

X[bar] ± Z_{1-\alpha /2} * \frac{Sigma}{\sqrt{n} }

Leaving all other terms constant, this are the Z-values for three different confidence levels:

90% Z_{0.95}= 1.648

95% Z_{0.975}= 1.965

99% Z_{0.995}= 2.586

Semiamplitude of the interval is

d= Z_{1-\alpha /2} * \frac{Sigma}{\sqrt{n} }

Then if you increase the confidence level, the value of Z increases and so does the semiamplitude and amplitude of the interval:

↑d= ↑Z_{1-\alpha /2} * \frac{Sigma}{\sqrt{n} }

They have a direct relationship.

So if you change α: 0.05 to α: 0.01, then the confidence level 1-α increases from 0.95 to 0.99, and the boundaries move farther into the tails.

2)

The significance level of a hypothesis test is the probability of committing a Type I error.

If you decrease the level from 5% to 1%, then logically, the probability decreases.

I hope this helps!

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