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Inessa [10]
3 years ago
6

There were twelve times more children than adults at the matinee performance of

Mathematics
1 answer:
levacccp [35]3 years ago
5 0

Answer:

Call the number of children and adults, c and a.

Then we have

c = 12a and

c + a = 455

Substituting we have

12a + a = 455

13a = 455

a = 35 adults

c = 12(35) = 420 kids

Step-by-step explanation:

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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
Is the unit price of cantaloupe is 0.65 per ounce in Sally pays $1.95 for a cantaloupe how many pounds did she have her cantalou
Bumek [7]
So the cantaloupe she has is 3 ounces as 195 / 65 = 3 , and 3 ounces is equal to 0.1875 pounds as there are 16 ounces to a pound
4 0
3 years ago
Read 2 more answers
A street that is 360 feet long is covered in snow city workers are using a snow plow to clear the street a tire on the snow plow
belka [17]

Answer:

Radius of tire=0.58 meter

Step-by-step explanation:

as we know that the

Circumference of the tire=2*3.14*r

and it needs to rotate 30 times to cover the street distance of 360 feet

So, the below equation would be used to find the radius of tire in the meters

360/3.28084=30*2*3.14*r

r=0.5824203822 meters

Hence

Radius=0.58 meter

3 0
2 years ago
Tom bought 3 packages of Skittles for $1.25 each. How much did he spend?
polet [3.4K]

Answer:

Tom spent $3.75 of Skittles

Step-by-step explanation:

If each Skittle packet was $1.25, then if that is multiplied by 3, the product of the equation is, 3 dollars and 75 cents/$3.75

1.25 x 3 = 3.75

7 0
3 years ago
Read 2 more answers
Find all the zeroes of the polynomial function f(x)=x^3-5x^2+6x-30 using synthetic division.
WITCHER [35]
Write the coeeficientes of the polynomial in order:

  | 1   - 5   6   - 30
  |
  |
  |
------------------------

After some trials you probe with 5

   | 1   - 5       6     - 30
   |
   |
5 |        5      0       30
-----------------------------
     1     0      6        0 <---- residue

Given that the residue is 0, 5 is a root.

The quotient is x^2 + 6 = 0, which does not have a real root.

Therefore, 5 is the only root. You can prove it by solving the polynomial x^2 + 6 = 0.
3 0
3 years ago
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