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zubka84 [21]
1 year ago
9

A line is parallel to the line y = -x + 5 and passes through the point (4. - 1). Which of the following is an equation of the

Mathematics
1 answer:
MariettaO [177]1 year ago
5 0

Answer:

y = -x + 3; could also be y + 1 = -(x - 4)  or  y = -(x - 4) - 1  or x + y = 3

Step-by-step explanation:

No options given, so I hope this helps.

1. Identify any of the equations that have the same slope as your given equation (-1). If there's only one, stop here.

2. Find the y-intercept by replacing (x,y)=(4,-1) in the equation y = -x + b and solve for b: -1 = -(4) + b  ==> 3 = b

3. Replace b in the equation y = -x + b with 3.

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The researcher is interested to know if policy A (new) is more effective than policy B (old). Frame the hypothesis and describe
vesna_86 [32]

<u>Answer:</u>

<u>Null hypothesis: Policy B remains more effective than policy A.</u>

<u>Alternate hypothesis: Policy A is more effective than policy B.</u>

<u>Step-by-step explanation:</u>

Remember, a hypothesis is a  usually tentative (temporary until tested) assumption about two variables– independent and the dependent variable.

We have two types of hypothesis errors:

1. A type I error occurs when the null hypothesis (H0) is wrongly rejected.

That is, rejecting the assumption that policy B remains more effective than policy A when it is <em>actually true.</em>

2. A type II error occurs when the null hypothesis H0, is not rejected when it is actually false. That is, accepting the assumption that policy B remains more effective than policy A when it is <em>actually false.</em>

3 0
3 years ago
From a large number of actuarial exam scores, a random sample of scores is selected, and it is found that of these are passing s
Mnenie [13.5K]

<u>Supposing 60 out of 100 scores are passing scores</u>, the 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

  • The lower limit is 0.5.
  • The upper limit is 0.7.

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of \alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of \frac{1+\alpha}{2}.

60 out of 100 scores are passing scores, hence n = 100, \pi = \frac{60}{100} = 0.6

95% confidence level

So \alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 - 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.5

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 + 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.7

The 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

  • The lower limit is 0.5.
  • The upper limit is 0.7.

A similar problem is given at brainly.com/question/16807970

5 0
3 years ago
I request assistance.
timofeeve [1]

Answer:

b

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
James has a lot of games. Samuel, his friend, has 4 times as many games as James. Write an algebraic expression to represent how
viva [34]

Answer: The answer is given below

Step-by-step explanation:

From the question, James has a lot of games while his friend Samuel, has 4 times as many games as James.

Let the number of games James has be represented by g.

Since Samuel has 4 times as many games as James, then Samuel's game will be:

= 4 × g

= 4g

The expression for James is g.

The expression for Samuel is 4g.

3 0
3 years ago
What is the 79th term of this arithmetic sequence? 3, 9, 15, 21,
hodyreva [135]
6 times 79 = 474 so the 79th term is 474
5 0
3 years ago
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