Answer:
Part a) 
Part b) When Jenny divides the square root of her favorite positive integer by 
, she gets an integer
Step-by-step explanation:
Let
x-------> the favorite positive integer
Part a)
1) For 
-----> the product is an integer
so
The number could be Jenny favorite positive integer
2) For 
-----> the product is an integer
so
The number could be Jenny favorite positive integer
3) For 
-----> the product is an integer
so
The number could be Jenny favorite positive integer
Part B)
1) For
-----> the result is an integer
2) For
-----> the result is an integer
3) For
-----> the result is an integer
Therefore
When Jenny divides the square root of her favorite positive integer by , she gets an integer
Answer:
a. 
μ = $24.57
μ ≠ $24.57
b. 0.12
c. we fail to reject the null hypothesis since p ≈0.12 > 0.05
d. we fail to reject the null hypothesis since z ≈-1.6 > -1.96
Step-by-step explanation:
a)
μ = $24.57
μ ≠ $24.57
b)
To compute p value, we need to calculate z-score of $23.89 per hour. in the distribution assumed under null hypothesis
z-score can be calculated as follows:
where
- X= $23.89
- M is the mean value under null hypothesis ( $24.57)
- s is the sample standard deviation ($2.40)
- N is the sample size (30)
Putting the numbers in the formula we get
≈ −1,5518
The corresponding p-value is <em>two tailed </em>and ≈ 0.12
c)
since p ≈0.12 > 0.05 <em>we fail to reject the null hypothesis.</em>
d)
Critical value for the 0.05 significance level in two tailed test is :
c(z)=-1.96 Since z≈ −1,6 >-1.96, it is not in the critcal region, therefore <em>we fail to reject the null hypothesis. </em>
Answer:
between 108-110?
Step-by-step explanation:
60% or 200 = 120 people
90% of 120 = 108
question doesnt look complete so this is the best I could come up with...♀️
A. True. There are 52 cards total and you only pick 5. Order doesn't matter.
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B. False. Order doesn't matter so you use a combination (instead of a permutation) as choice A shows.
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C. False. The answer is roughly 0.000858 as shown by the calculation below
(13/52)*(12/51)*(13/50)*(12/49)*(11/48) = 0.000858
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D. False. See calculation below
(13/52)*(12/51)*(11/50)*(10/49)*(9/48) = 0.000495
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E. True. See calculation below
(13/52)*(12/51)*(11/50)*(10/49)*(9/48) = 0.000495
this value rounds to roughly 0.0005
Area=height times base (for some prisms including cylinders)
vcylinder=hpir²
h=height
therefor pir²=base area
vcylinder=height times aeraofbase
given
h=9
v=324pi
324pi=9(basearea)
divide both sides by 9
36pi=areabase
the area of te base is 36pi square cm (put 36 in the blank since th pi is alredy there)
