Complete Question
Pennsylvania Refining Company is studying the relationship between the pump price of gasoline and the number of gallons sold. For a sample of 14 stations last Tuesday, the correlation was 0.65.At the 0.01 significance level Can the company conclude that the correlation is positive
Answer:
Yes the company conclude that the correlation is positive
Step-by-step explanation:
From the question we are told that
The sample size is n = 14
The correlation is r = 0.65
The null hypothesis is 
The alternative hypothesis is 
Generally the standard deviation is mathematically evaluated as
The degree of freedom for the one-tail test is
The standard error is evaluated as
The test statistics is evaluated as
The p-value of of t is obtained from the z table, the value is
Given that 
then we reject the null hypothesis
Hence the company can conclude that the correlation is positive
Answer:
176.39 inches or
14.70 feet
Step-by-step explanation:
Consider the right triangle made by Kristen, ground and shadow.
This triangle has one leg as 64 inches.
Next consider the right triangle formed by street light, ground upto shadow tip.
The two triangles have common angle of elevation and also another angle as 90 degrees.
Hence the two triangles would be similar
Also if A is the angle made by hypotenuse of both triangles with the ground we have
This value also equals by bigger triangle as
From these two we get
h = height of street light =
Part A: First, list multiples for each number. The multiples of 5 are: 5, 10, 15, 20, 25 30, 35, 40, 45, 50, 55, 60, etc. The multiples of 12 are: 12, 24, 36,48, 60, etc. The least common multiple is the first common multiple between the two, in this case being 60. The LCM of 5 and 12 is 60.
Part B: SImilar to above, list all factors for each number. 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. 81: 1, 3, 9, 27, and 81. The greatest common factor is the highest common number, 9 in this case. The GCF of 72 and 81 is 9.
Part C: To rewrite, we need to take out the 9 by dividing. 72/9 is 8. 81/9 is 9. Therefore, we would get 9(8+9), to equal 153. Your answer here is 9( 8 + 9 ). Hope this helped!
Answer:
Step-by-step explanation:
= 19 R 15
= 19 15/17
338 divided by 17 equals
19 with a remainder of 15
Solution:
0 1 9
1 7 {3 3 8
− {0
3 3
− 1 7
1 6 8
− 1 5 3
1 5
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< ⌒ヽ A
/ へ＼ B
/ / ＼＼ U
ﾚ ノ ヽ_つ L
/ / O
/ /| U
( (ヽ S
| |、＼
| 丿 ＼ ⌒)
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