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Zepler [3.9K]
3 years ago
5

A line that includes the point (-9, 1) has a slope of 1. What is its equation in

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
8 0

Answer:

y=x+10

Step-by-step explanation:

1.) y-1=1(x+9)

2.) y-1=x+9

3.) y=x+10

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It costs $74 per hour plus a $65 service fee to have a home theater system set up for you. Let t represent the number of hours.
ki77a [65]

Answer:

74t + 65= total cost

Step-by-step explanation:

74 is the amount per hour, so you would need to multiply that by the number of hours they work (74t) and the 65 is a set fee (does not change based on the amount of service) so you just add that on

8 0
2 years ago
A professor wishes to discover if seniors skip more classes than freshmen. Suppose he knows that freshmen skip 2% of their class
KIM [24]

Answer:

We conclude that seniors skip more than 2% of their classes at 0.01 level of significance.

Step-by-step explanation:

We are given that a professor wishes to discover if seniors skip more classes than freshmen. Suppose he knows that freshmen skip 2% of their classes.

He randomly samples a group of seniors and out of 2521 classes, the group skipped 77.

<u><em /></u>

<u><em>Let p = percentage of seniors who skip their classes.</em></u>

So, Null Hypothesis, H_0 : p \leq 2%   {means that seniors skip less than or equal to 2% of their classes}

Alternate Hypothesis, H_A : p > 2%   {means that seniors skip more than 2% of their classes}

The test statistics that will be used here is <u>One-sample z proportion</u> <u>statistics</u>;

                                   T.S.  = \frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }  ~ N(0,1)

where, \hat p = sample proportion of seniors who skipped their classes = \frac{77}{2521}

           n = sample of classes = 2521

So, <u><em>test statistics</em></u>  =  \frac{\frac{77}{2521} -0.02}{{\sqrt{\frac{\frac{77}{2521}(1-\frac{77}{2521})}{2521} } } } }

                               =  3.08

The value of the test statistics is 3.08.

Now at 0.01 significance level, <u>the z table gives critical value of 2.3263 for right-tailed test</u>. Since our test statistics is more than the critical value of z as 2.3263 < 3.08, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u>we reject our null hypothesis</u>.

Therefore, we conclude that seniors skip more than 2% of their classes.

6 0
3 years ago
A density curve for all the possible temperatures between 0°F and 40°F is a
My name is Ann [436]

Answer:

B. 0.025

Step-by-step explanation:

6 0
3 years ago
What is the median of the following numbers?<br> 3.31,37,56, 61,57,62
mylen [45]

Answer:

The answer might be 56 because the median is the middle of it

3 0
2 years ago
Read 2 more answers
Show all work to factor x^4 − 17x^2 + 16 completely.
FrozenT [24]

Answer:

it looks like it is completely factored out to me at least there is a high possibility I am wrong because that looks complicated I wish I could help

6 0
2 years ago
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