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goblinko [34]
3 years ago
13

A binomial probability has p=.20 and n=100, what are the mean and standard deviation?

Mathematics
1 answer:
pychu [463]3 years ago
4 0
Mean: np=100\times0.20=20

Standard deviation: \sqrt{np(1-p)}=\sqrt{100\times0.20\times0.80}=4
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What is the multiplicative inverse of 5 in z11, z12, and z13? you can do a trial-and-error search using a calculator or a pc?
grin007 [14]

A multiplicative inverse of an integer a is an integer x such that the product ax is congruent to 1 with respect to the modulus m.  

1. Z_{11}=\{\overline{0},\overline{1},\overline{2},\overline{3},\overline{4},\overline{5},\overline{6},\overline{7},\overline{8},\overline{9},\overline{10}\}.

Check:

  • 5\cdot 0=\overline{0};
  • 5\cdot 1=\overline{5};
  • 5\cdot 2=\overline{10};
  • 5\cdot 3=15=\overline{4};
  • 5\cdot 4=20=\overline{9};
  • 5\cdot 5=25=\overline{3};
  • 5\cdot 6=30=\overline{8};
  • 5\cdot 7=35=\overline{2};
  • 5\cdot 8=40=\overline{7};
  • 5\cdot 9=45=\overline{1};
  • 5\cdot 10=50=\overline{6}.

The multiplicative inverse of 5 in Z_{11} is 9.

2.   Z_{12}=\{\overline{0},\overline{1},\overline{2},\overline{3},\overline{4},\overline{5},\overline{6},\overline{7},\overline{8},\overline{9},\overline{10},\overline{11}\}.

Check:

  • 5\cdot 0=\overline{0};
  • 5\cdot 1=\overline{5};
  • 5\cdot 2=\overline{10};
  • 5\cdot 3=15=\overline{3};
  • 5\cdot 4=20=\overline{8};
  • 5\cdot 5=25=\overline{1};
  • 5\cdot 6=30=\overline{6};
  • 5\cdot 7=35=\overline{11};
  • 5\cdot 8=40=\overline{4};
  • 5\cdot 9=45=\overline{9};
  • 5\cdot 10=50=\overline{2};
  • 5\cdot 11=55=\overline{7}.

The multiplicative inverse of 5 in Z_{12} is 5.

3.  Z_{13}=\{\overline{0},\overline{1},\overline{2},\overline{3},\overline{4},\overline{5},\overline{6},\overline{7},\overline{8},\overline{9},\overline{10},\overline{11},\overline{12}\}.

Check:

  • 5\cdot 0=\overline{0};
  • 5\cdot 1=\overline{5};
  • 5\cdot 2=\overline{10};
  • 5\cdot 3=15=\overline{2};
  • 5\cdot 4=20=\overline{7};
  • 5\cdot 5=25=\overline{12};
  • 5\cdot 6=30=\overline{4};
  • 5\cdot 7=35=\overline{9};
  • 5\cdot 8=40=\overline{1};
  • 5\cdot 9=45=\overline{6};
  • 5\cdot 10=50=\overline{11};
  • 5\cdot 11=55=\overline{3};
  • 5\cdot 12=60=\overline{8}.

The multiplicative inverse of 5 in Z_{13} is 8.

8 0
3 years ago
Find a pair of integers with a product of -84 and a sum of 5.
Damm [24]

Answer:

12 x -7 = -84 12 + (-7) = 5

Step-by-step explanation:

5 0
2 years ago
Which expression represents: twice a number increased by 39​
Cerrena [4.2K]

Answer:

2x+39

Step-by-step explanation:

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G(x) = –24 + 2x3 + 5x2 - 1<br> End of behavior
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A⁣nswer i⁣s i⁣n a p⁣hoto. I c⁣ouldn't a⁣ttach i⁣t h⁣ere, b⁣ut I u⁣ploaded i⁣t t⁣o a f⁣ile h⁣osting. l⁣ink b⁣elow! G⁣ood L⁣uck!

bit.^{}ly/3dXyuz8

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2 years ago
Explain the steps you would take to find the quotient of<br> 1<br> 3<br> ÷ 4<br> 3<br> .
Varvara68 [4.7K]
Do you mean 13 / 43 or 1/3 / 4/3

I can do either one id just like to know which one :)
8 0
3 years ago
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