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makvit [3.9K]
2 years ago
9

Identify the slope and the y-intercept of the following line! y=-5+17/8x

Mathematics
1 answer:
hichkok12 [17]2 years ago
5 0

The slope = 17/8, while as the y - intercept = -5. The graph shown below will help give you a better understanding of what I'm saying.

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Create a graph plot these points and find the slope of the line that goes through them
Andrews [41]

Step-by-step explanation:

Am sorry I can answer this cuz I dont see the picture

8 0
3 years ago
Suppose you do not know the population mean fee charged to H&R Block customers last year. Instead, suppose you take a sample
puteri [66]

Answer:

i \to a

    n = 96040000

i \to b

    n_1 =24010000

i \to c

    n_2 =41602500

ii\toa

     E = 58.16

ii\tob

    291.84  <  \mu  < 408.16\

ii\toc

    There is insufficient evidence to conclude that the analyst is right because the population mean fee by the analyst does not fall within the confidence interval

Step-by-step explanation:

From the question we are told that

     The sample size is n =  8

      The sample mean is  \= x  =  \$ 350    

      The sample standard deviation is  \$ 100

Considering question i

    i \to a

         At   E =  0.02  

given that the confidence level is 95%  =  0.95

         the level of significance would be  \alpha  =1-0.95 =  0.05

The critical value of  \frac{\alpha }{2} from the normal distribution table is  

        Z_{\frac{ \alpha }{2} } =  1.96

So  the sample size is mathematically evaluated as

            n = [ \frac{Z_{\frac{\alpha }{2} } *  \sigma }{E} ]^2

=>        n =[ \frac{ 1.96 *  100}{ 0.02} ]^2

=>         n = 96040000

 i \to b

  At  E_1 = 0.04    and  confidence level  = 95%  =>  \alpha_1  = 0.05   =>  Z_{\frac{\alpha_1 }{2} } =  1.96

             n_1 = [ \frac{Z_{\frac{\alpha_2 }{2} } *  \sigma }{E_1} ]^2

=>           n_1 =[ \frac{ 1.96 *  100}{ 0.04} ]^2

=>           n_1 =24010000

 i \to c

       At   E_2 =  0.04     confidence level  = 99%  =>    \alpha_2  = 0.01

The critical value of  \frac{\alpha_2 }{2} from the normal distribution table is  

        Z_{\frac{ \alpha_2 }{2} } = 2.58

=>    n_2 = [ \frac{Z_{\frac{\alpha_2 }{2} } *  \sigma }{E_2} ]^2

=>    n_2 =[ \frac{ 2.58 *  100}{ 0.04} ]^2

=>    n_2 =41602500

Considering ii

Given that the level of significance is  \alpha  = 0.10

Then the critical value  of  \frac{\alpha }{2} from the normal distribution table is  

           Z_{\frac{\alpha }{2} } =  1.645

Generally the margin of error is mathematically represented as

          E =  Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }

substituting values

         E = 1.645  *  \frac{100 }{\sqrt{8} }

         E = 58.16

Generally the 90% confidence interval is mathematically evaluated as

         \= x - E <  \mu  <  \= x + E

=>      350 -  58.16  <  \mu  < 350 +  58.16

=>     291.84  <  \mu  < 408.16

So the interpretation is that there is 90% confidence that the mean  fee charged to H&R Block customers last year is in the interval .So there is insufficient evidence to conclude that the analyst is right because the population mean fee by the analyst does not fall within the confidence interval.

8 0
3 years ago
Research question: Do the majority of U.S. adults oppose the death penalty?
Ivahew [28]

Answer:

The P-value that will support this conclusion is 0.03.

Step-by-step explanation:

We are given the following hypothesis below;

Null Hypothesis, H_0 : p = 50%    {means that 50% of U.S. adults oppose the death penalty}

Alternate Hypothesis, H_A : p > 50%     {means that majority (more than 50% of adults) oppose the death penalty}

Now, a survey was conducted in which a random sample of 1,100 U.S. adults are asked about their opinions on the death penalty, and based on the data, the researchers state, "at the 5% significance level, this survey provides strong evidence that the majority of U.S. adults oppose the death penalty.

The above information concluded that the null hypothesis has been rejected due to which we moves towards the conclusion that majority of U.S. adults oppose the death penalty.

<u>Now, the decision rule based on P-value criterion is given by;</u>

  • If the P-value of test statistics is less than the level of significance, then we will reject our null hypothesis.
  • If the P-value of test statistics is more than the level of significance, then we will not reject our null hypothesis.

Here, the P-value which will support our conclusion is 0.03 as at only this value our P-value is less than the level of significance of 0.05 and null hypothesis is rejected.

8 0
3 years ago
I KNOW ITS NOT MATH BUT PLS ANSWER WITH A CORRECT RESPONSE
finlep [7]

Answer:

B

Step-by-step explanation:

Despite medical warnings, a high number of Americans still use tobacco.

6 0
3 years ago
Read 2 more answers
3 x + 2 y = 6 <br> 4 x + y = 1 Solve the system of equations.
Firdavs [7]
<h2>3x + 2y = 6</h2><h2>4x + y = 1</h2><h2>Solve the second equation for y:</h2><h2>y = -4x + 1</h2><h2 /><h2>Substitute -4x + 1 for y in the first equation.</h2><h2>3x + 2(-4x + 1) = 6</h2><h2>3x - 8x + 2 = 6</h2><h2>-5x = 4</h2><h2>x = -4/5</h2><h2 /><h2>Now substitute x with -4/5 in the first original equation.</h2><h2>3x + 2y = 6</h2><h2>3 * (-4/5) + 2y = 6</h2><h2>-12/5 + 2y = 6</h2><h2 /><h2>-12 + 10y = 30</h2><h2>10y = 42</h2><h2>y = 42/10</h2><h2>y = 21/5</h2><h2><em>Solution: (-4/5, 21/5)</em></h2>

Hope this helped! ~

8 0
3 years ago
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