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strojnjashka [21]
3 years ago
13

Emily has a lock that uses the numbers 0-7. The combination is 3 numbers long. What is the probability that the combination is 7

77?
Mathematics
1 answer:
Margarita [4]3 years ago
8 0
333 most likely then
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An instructor who taught two sections of Math 161A, the first with 20 students and the second with 30 students, gave a midterm e
uranmaximum [27]

Answer:

<em>The answers are for option (a) 0.2070  (b)0.3798  (c) 0.3938 </em>

Step-by-step explanation:

<em>Given:</em>

<em>Here Section 1 students = 20 </em>

<em> Section 2 students = 30 </em>

<em> Here there are 15 graded exam papers. </em>

<em> (a )Here Pr(10 are from second section) = ²⁰C₅ * ³⁰C₁₀/⁵⁰C₁₅= 0.2070 </em>

<em> (b) Here if x is the number of students copies of section 2 out of 15 exam papers. </em>

<em>  here the distribution is hyper-geometric one, where N = 50, K = 30 ; n = 15 </em>

<em>Then, </em>

<em> Pr( x ≥ 10 ; 15; 30 ; 50) = 0.3798 </em>

<em> (c) Here we have to find that at least 10 are from the same section that means if x ≥ 10 (at least 10 from section B) or x ≤ 5 (at least 10 from section 1) </em>

<em> so, </em>

<em> Pr(at least 10 of these are from the same section) = Pr(x ≤ 5 or x ≥ 10 ; 15 ; 30 ; 50) = Pr(x ≤ 5 ; 15 ; 30 ; 50) + Pr(x ≥ 10 ; 15 ; 30 ; 50) = 0.0140 + 0.3798 = 0.3938 </em>

<em> Note : Here the given distribution is Hyper-geometric distribution </em>

<em> where f(x) = kCₓ)(N-K)C(n-x)/ NCK in that way all these above values can be calculated.</em>

7 0
3 years ago
Which of the following is a conjugate for 7 + i Square root of 2? (2 points) − 7 + i Square root of 2 7 − i Square root of 2 i S
hammer [34]

Answer:

7-\sqrt{2}i

Step-by-step explanation:

Given number is 7+\sqrt{2}i. We need to find the complex conjugate of the given number.

We will use the general rule to find out the complex conjugate of the number.

The complex conjugate of a+bi will be a-bi

And the complex conjugate of 7+\sqrt{2}i\ became\ 7-\sqrt{2}i

So, the complex conjugate of 7+\sqrt{2}i is 7-\sqrt{2}i

3 0
3 years ago
PLEASE HELP!! I NEED MATHEMATICIANS ON THIS POST!!
aalyn [17]

Answer:

60 * 40% = 24

Step-by-step explanation:

just use a calculator

7 0
3 years ago
If you flip two coins at once, will at least one coin land on heads?
anzhelika [568]

Answer:

There is 3 out of 4 chance you will get one head.

You are not guaranteed to get a head

Step-by-step explanation:

Lets determine the sample space

HH  HT  TH  TT

These are the 4 things that can happen when we flip to coins

We want at least one head

3 of the 4 choices have at least 1 head

P (at least one head) = 3/4

4 0
3 years ago
ABC is a triangle. D is a point, vectors 2BD = 3DC<br> Prove vectors 2AB + 3AC = 5AD
MakcuM [25]

3Ac?????????????????

5 0
2 years ago
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