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sdas [7]
3 years ago
7

-8= -2(z+7) How do you sovle this equation

Mathematics
2 answers:
Vitek1552 [10]3 years ago
7 0
-8=-2z-14
+2z-8=-14
2z=-14+8
2z=-6
2z\2z=-6/2z
z=3
Anna71 [15]3 years ago
5 0
-8= -2(z+7)                  Equation

\dfrac{-8}{-2} =z+7

 
      Divide \ both \ sides \ by \ -2
 
<span>\dfrac{8}{2} =z+7  
</span>
4=z+7&#10;&#10; &#10; 

4-7=z            Subtract \ 7 \ from \ both \ sides

z=-3              Solution
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The Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing company, claims that the sales
mihalych1998 [28]

Answer:

We conclude that the mean number of calls per salesperson per week is more than 37.

Step-by-step explanation:

We are given that the Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing company, claims that the sales representatives make an average of 37 sales calls per week on professors.

To investigate, a random sample of 41 sales representatives reveals that the mean number of calls made last week was 40. The standard deviation of the sample is 5.6 calls.

<em><u>Let </u></em>\mu<em><u> = true mean number of calls per salesperson per week.</u></em>

SO, <u>Null Hypothesis</u>, H_0 : \mu \leq 37   {means that the mean number of calls per salesperson per week is less than or equal to 37}

<u>Alternate Hypothesis,</u> H_A : \mu > 37   {means that the mean number of calls per salesperson per week is more than 37}

The test statistics that will be used here is <u>One-sample t test statistics</u> as we don't know about the population standard deviation;

                        T.S.  = \frac{\bar X -\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample mean number of calls made last week = 40

             s = sample standard deviation = 5.6 calls

             n = sample of sale representatives = 41

So, <em><u>test statistics</u></em>  =   \frac{40-37}{\frac{5.6}{\sqrt{41} } }  ~ t_4_0

                               =  3.43

Hence, the value of test statistics is 3.43.

<em>Now at 0.025 significance level, the t table gives critical value of 2.021 at 40 degree of freedom for right-tailed test. Since our test statistics is more than the critical value of t as 3.43 > 2.021, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.</em>

Therefore, we conclude that the mean number of calls per salesperson per week is more than 37.

4 0
3 years ago
14.371 value of 1 in decimal form
artcher [175]
0.001. hope that helped
7 0
3 years ago
10000000000+70000000000000000-:333333300 <br><br><br><br> Answer: 10210000021
hodyreva [135]
<h2>Answer:</h2><h2>good to know</h2><h2 /><h2>thx :)</h2>
4 0
3 years ago
there are 239 people in the first six rows of the movie theater if the same number of people are in the next six rows about how
bija089 [108]

Answer:

478 people

Step-by-step explanation:

All you need to do for this problem is simply multiply 239 by 2. If the first 6 rows are 239 people, and so are the next 6, that's all you need to do.

239*2=478

8 0
3 years ago
The Junior Beta club needs to raise $1513.75 to go to a national convention. If they decided to sell candy bars at $1.25 each, h
rusak2 [61]

Answer:

1,211 candy bars.

Step-by-step explanation:

You divide the goal by how much the bars are selling for, or 1513.75/1.25.   The answer to this is 1,211 candy bars.

4 0
3 years ago
Read 2 more answers
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