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lara31 [8.8K]
3 years ago
8

What is the greatest perfect square that is a factor of 396? Explain

Mathematics
1 answer:
DedPeter [7]3 years ago
4 0
<span>To find the greatest perfect square  that is a factor of 396, first we check what are the factors of 396
Factors of 396 are: 1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Now we check which is the greatest perfect square in these. 
396, 198, 132, 99, 66,44 are not perfect square,
so 36 is the largest perfect square from the factors of 396, 6 x 6 = 6</span>² = 36
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Eric teaches ceramics in his studio.he estimates that one out of every five people who call for information about a class will s
Vlada [557]

The probability that four or fewer of the people who called will sign up for a class = 0.9805

For given question,

Eric estimates that one out of every five people who call for information about a class will sign up for the class.

Last week he receive nine calls.

We need to find the probability that four or fewer of the people who called will sign up for a class.

Total number of calls = 9

⇒ n = 9

Since one out of every five people who call for information about a class will sign up for the class.

the probability of success (p) = 1/5

                                                  = 0.2

and the probability of failure (q) = 1 - p

                                                      = 1 - 0.2

                                                      = 0.8

To find the probability that four or fewer of the people who called will sign up for a class.

So, x would take values 0, 1, 2, 3, 4

Using Binomial principal,

For x = 0,

P(x=0)= ~^9C_0(0.2)^0(0.8)^{9-0}\\\\P(x=0)=0.13422

For x = 1,

P(x=1)= ~^9C_1(0.2)^1(0.8)^{9-1}\\\\P(x=1)=0.30199

For x = 2,

P(x=2)= ~^9C_2(0.2)^2(0.8)^{9-2}\\\\P(x=2)=0.30199

For x = 3,

P(x=3)= ~^9C_3(0.2)^3(0.8)^{9-3}\\\\P(x=3)=0.17616

For x = 4,

P(x=4)= ~^9C_4(0.2)^4(0.8)^{9-4}\\\\P(x=4)=0.06606

So, the required probability would be,

P = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4)

P = 0.1342 + 0.3020 + 0.3020 + 0.1762 + 0.0661

P = 0.9805

Therefore, the probability that four or fewer of the people who called will sign up for a class = 0.9805

Learn more about the probability here:

brainly.com/question/3679442

#SPJ4

3 0
1 year ago
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