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SCORPION-xisa [38]
2 years ago
11

Kaya buys a $20 phone card. She is charged $.15 per minute for

Mathematics
1 answer:
marshall27 [118]2 years ago
4 0
$1.50 because 0.15 x 10 is 1.50
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Allied Corporation is trying to sell its new machines to Ajax. Allied claims that the machine will pay for itself since the time
kvasek [131]

Answer:

z(s) is in the acceptance region. We accept H₀  we did not find a significantly difference in the performance of the two machines therefore we suggest not to buy a new machine

Step-by-step explanation:

We must evaluate the differences of the means of the two machines, to do so, we will assume a CI  of 95%, and as the interest is to find out if the new machine has better performance ( machine has a bigger efficiency or the new machine produces more units per unit of time than the old one) the test will be a one tail-test (to the left).

New machine

Sample mean                  x₁ =    25

Sample variance               s₁  = 27

Sample size                       n₁  = 45

Old machine

Sample mean                    x₂ =  23  

Sample variance               s₂  = 7,56

Sample size                       n₂  = 36

Test Hypothesis:

Null hypothesis                         H₀             x₂  -  x₁  = d = 0

Alternative hypothesis             Hₐ            x₂  -  x₁  <  0

CI = 90 %  ⇒  α =  10 %     α = 0,1      z(c) = - 1,28

To calculate z(s)

z(s)  =  ( x₂  -  x₁ ) / √s₁² / n₁  +  s₂² / n₂

s₁  = 27     ⇒    s₁²  =  729

n₁  = 45    ⇒   s₁² / n₁    = 16,2

s₂  = 7,56   ⇒    s₂²  = 57,15

n₂  = 36     ⇒    s₂² / n₂  =  1,5876

√s₁² / n₁  +  s₂² / n₂  =  √ 16,2  + 1.5876    = 4,2175

z(s) = (23 - 25 )/4,2175

z(s)  =  - 0,4742

Comparing z(s) and  z(c)

|z(s)| < | z(c)|  

z(s) is in the acceptance region. We accept H₀  we did not find a significantly difference in the performance of the two machines therefore we suggest not to buy a new machine

The very hight dispersion of values s₁ = 27 is evidence of frecuent values quite far from the mean

3 0
3 years ago
A total of 216 people bought tickets for the matinee and night showing of the school play. Students bought Two-thirds of the tic
olya-2409 [2.1K]

Answer:

A....... x+y=216 and 2/3x+4/9y=118

Step-by-step explanation:

6 0
3 years ago
How do you solve thi
nataly862011 [7]
Replace the variables with numbers to find the expression
5 0
3 years ago
If 900 is shared in the ratio 8:10,find each shared
kirill [66]

Answer:

400 and 500

Step-by-step explanation:

the ratios are 8:10

total ratio = 8+10 = 18

share for the ratio is 8 = 8/18×900

= 0.444444444×900= 400

therefore, share for the ratio of 8= 400

share for the ratio of 10= 10/18×900

= 0.555555555×900=500

therefore, share for the ratio of 10= 500

7 0
1 year ago
Justine has 4 1/2 pounds of red apples, 3 1/4 pounds of green apples, and 2 1/4 pounds of yellow apples. How many kilograms of a
Darina [25.2K]
4 1/2 + 3 1/4 + 2 1/4 = 10 pounds of apples.

10 pounds is approximately 4.5 kilograms.
7 0
2 years ago
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