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IceJOKER [234]
3 years ago
13

A 3,000 piece of direct mailing cost 1,435. Printing cost is $550, about 31/2 times the cost of typesetting. How much did the ty

pesetting cost? Round to the nearest cent.
Mathematics
1 answer:
yanalaym [24]3 years ago
3 0

Answer:

The typesseting cost $ 35.48.

Step-by-step explanation:

Given that a 3,000 piece of direct mailing cost $ 1,435, and printing cost is $ 550, about 31/2 times the cost of typesetting, to determine how much did the typesetting cost the following calculation must be performed:

31/2 = 15.5

550 / 15.5 = X

35.48 = X

35.48 x 15.5 = 550

Thus, the typesseting cost $ 35.48.

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A recent study focused on the number of times men and women send a Twitter message in a day. The information is summarized below
jok3333 [9.3K]

Answer:

The value of the test statistic = 2.58

Test statistic Z = - 4.805

|Z| = 4.805 > 2.58

Null hypothesis is rejected The value of the test statistic = 2.58

There is  significant difference between in the mean number of times men and women send a Twitter message in a day

Step-by-step explanation:

Step(i):-

Sample size of men  n₁ = 25

mean of the first sample x₁⁻ = 20

Standard deviation of the first sample σ₁ = 5

Sample size of women n₂ = 30

mean of the second sample x₂⁻ = 30

Standard deviation of the first sample σ₂ = 10

Level of significance ∝= 0.01

<u>Step(ii)</u>:-

Null Hypothesis : H₀: There is no significant difference between in the mean number of times men and women send a Twitter message in a day

Alternative Hypothesis :H₁:There is  significant difference between in the mean number of times men and women send a Twitter message in a day

Test statistic

Z = \frac{x^{-} _{1} - x^{-} _{2} }{\sqrt{\frac{S.D_{1} ^{2} }{n_{1} }+\frac{ S.D_{2} ^{2}}{n_{2} }  } }

Z = \frac{20 - 30 }{\sqrt{\frac{(5)^{2}  }{25 }+\frac{ (10)^{2}  }{ 30}  } }

Z =  \frac{-10}{2.081} = - 4.805

The value of the test statistic = 2.58 C

|Z| = 4.805 > 2.58

Null hypothesis is rejected The value of the test statistic = 2.58

<u>Conclusion:</u>-

There is  significant difference between in the mean number of times men and women send a Twitter message in a day

7 0
3 years ago
Find the annual rate of interest. Principal = 2350=2350 rupees Period = 2=2 years Total amount = 2867=2867 rupees
Lilit [14]

Answer:

11%

Step-by-step explanation:

We have been given that

Principle = Rs 2350

Time = 2 years

Total amount = Rs 2867

Therefore, Interest earned is given by

I = Total amount - Principle

I = 2867 - 2350

I = Rs 517

Formula for simple interest is

I=Prt\\517=2350(r)(2)\\\\r=\frac{517}{2350\times2}\\\\r=0.11\\\\r=11\%

Therefore, annual rate of interest is 11%

7 0
4 years ago
Lenore lives in a state where sales tax is 10%. This means you can find the total cost of an item, including tax, by using the e
Aliun [14]

Function is

  • f(c)=c+0.10c

Put 84.00$

\\ \tt\hookrightarrow 84.00+0.1(84.00)

\\ \tt\hookrightarrow 84.00+8.4

\\ \tt\hookrightarrow 92.4

4 0
3 years ago
Find the equation of a line that contains the points (−3,−1) and (−4,−7). Write the equation in slope-intercept form
BARSIC [14]

Answer:

y =6x+17

Step-by-step explanation:

First we need to find the slope

m = (y2-y1)/(x2-x1)

   = (-7- -1)/(-4 - -3)

   = (-7+1)/(-4+3)

   -6/-1

   6

The slope intercept form of the equation is

y = mx+b  where m is the slope and b is the y intercept

y = 6x+b

Substitute a point into the equation

-1 = 6(-3) +b

-1 = -18+b

Add 18 to each side

17 =b

The equation is

y =6x+17

8 0
3 years ago
Select all the number groups that contain the number 1/2
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Rational and a real number because for one, all numbers are real, and a rational number is a number that can be a fraction
7 0
2 years ago
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