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Crazy boy [7]
3 years ago
13

PLZZ HELPPP!!

Mathematics
1 answer:
MAXImum [283]3 years ago
4 0
We need to find 2 digit numbers (10-99) each of which has 
a) 8 divisors
b) 9 divisors
 
Here's what I found:
For 8 divisors, the number must have
    a. 3 distinct prime factors, or
    b. of the form {p^3, q}
    which are:
2^3*3=24 (1,2,3,4,6,8,12,24)
2*3*5=30 (1,2,3,5,6,10,15,30)
2^3*5=40 (1,2,4,5,8,10,20,40)
2*3*7=42 (1,2,3,6,7,14,21,42)
2*3^3=54 (1,2,3,6,9,18,27,54)
2^3*7=56 (1,2,4,7,8,14,28,56)
2*3*11=66 (1,2,3,6,11,22,33,66)
2^3*11=88 (1,2,4,8,11,22,44,88)
2*3*13=78 (1,2,3,6,13,26,39,78)
2*5*7=70 (1,2,5,7,10,14,35,70)

For 9 divisors, it is necessary that the 2-digit number be a perfect square, and the square-root is composite.
For this, we can list only
(2*3)^2=36  (1,2,3,4,6,9,12,18,36)

So there are 10 2-digit numbers with 8 factors, and 1 with 9 factors.

Note: looks like 72 has 12, the most factors in two digit numbers:
72 (1,2,3,4,6.8,9,12,18,24,36,72)
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how many such tests would it take for the probability of committing at least one type i error to be at least 0.7? (round your an
drek231 [11]

The number of tests that it would take for the probability of committing at least one type I error to be at least 0.7 is 118   .

In the question ,

it is given that ,

the probability of committing at least , type I error is = 0.7

we  have to find the number of tests ,

let the number of test be n ,

the above mentioned situation can be written as

1 - P(no type I error is committed) ≥ P(at least type I error is committed)

which is written as ,

1 - (1 - 0.01)ⁿ ≥ 0.7

-(0.99)ⁿ ≥ 0.7 - 1

(0.99)ⁿ ≤ 0.3

On further simplification ,

we get ,

n ≈ 118 .

Therefore , the number of tests are 118 .

Learn more about Error here

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4 0
1 year ago
The average American consumes 8.8 liters of alcohol per year. Does the average college student consume less alcohol per year? St
lianna [129]

Answer:

Null hypothesis: u = 8.8 liters

Alternative hypothesis: u < 8.8 liters

Step-by-step explanation:

The null hypothesis is always opposite to Tue alternative hypothesis and is the default hypothesis.

In this case study, the null hypothesis is that the average American consumes 8.8 liters of alcohol per year: u = 8.8

The alternative hypothesis is that does the average American consumes less than 8.8 liters of alcohol per year: u < 8.8 liters

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What is the net monthly cash flow
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Answer:

what?


Step-by-step explanation:


7 0
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The sales tax in the town where Amanda lives is 7%. Amanda paid $35 in sales tax on a new stereo. What was the price of the ster
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500 Because 35/7 = 5 and 5*100 (100%) = $500
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Factor the following 3x + 66y
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Step-by-step explanation:

Because three can be taken from both of them

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