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Tanya [424]
3 years ago
8

Can someone help me pls

Mathematics
2 answers:
Elena-2011 [213]3 years ago
5 0

For MN to be tangent, angle N would need to be 90 degrees making the triangle a right triangle.

Using the Pythagorean theorem uses the base and the height to see if it equals what is shown for the hypotenuse. If it does it is tangent.

Hypotenuse = SQRT(18^2 + 80^2)

Hypotenuse = sqrt(324 + 6400)

Hypotenuse = sqrt(6724)

Hypotenuse = 82

This matches the 82 shown in the picture, so it is a right triangle, making MN tangent to circle L.

motikmotik3 years ago
4 0

Answer:

the only explanation to this is segment MN is tangent to circle L because it touches the circle L in one point

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3 years ago
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Discrete R.V. Assume a student shows up for EGR 280 completely unprepared and the instructor gives a pop quiz. Assume there are
Tom [10]

Answer:

a) p=0.2

b) probability of passing is 0.01696

.

c) The expected value of correct questions is 1.2

Step-by-step explanation:

a) Since each question has 5 options, all of them equally likely, and only one correct answer, then the probability of having a correct answer is 1/5 = 0.2.

b) Let X be the number of correct answers. We will model this situation by considering X as a binomial random variable with a success probability of p=0.2 and having n=6 samples. We have the following for k=0,1,2,3,4,5,6

P(X=k) = \binom{n}{k}p^{k}(1-p)^{n-k} = \binom{6}{k}0.2^{k}(0.8)^{6-k}.

Recall that \binom{n}{k}= \frac{n!}{k!(n-k)!} In this case, the student passes if X is at least four correct questions, then

P(X\geq 4) = P(X=4)+P(X=5)+P(X=6)=\binom{6}{4}0.2^{4}(0.8)^{6-4}+\binom{6}{5}0.2^{5}(0.8)^{6-5}+\binom{6}{6}0.2^{6}(0.8)^{6-6}= 0.01696

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4 years ago
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mixer [17]
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Anon25 [30]

The set of real numbers for the equation x – 2 = √(2x – 1) will be 5.

<h3>What is the solution of the equation?</h3>

The solution of the equation means the value of the unknown or variable.

The equation is given below.

x – 2 = √(2x – 1)

Square on both side, then we have

               (x – 2)² = 2x – 1

         x² – 4x + 4 = 2x – 1

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x(x – 5) – 1(x – 5) = 0

       (x – 5)(x – 1) = 0

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The set of real numbers for the equation x – 2 = √(2x – 1) will be 5.

More about the solution of the equation link is given below.

brainly.com/question/545403

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2 years ago
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Answer:

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I see a proportion here.

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3 years ago
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