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qaws [65]
3 years ago
8

A quiz consists of 20 multiple-choice questions, each with 5 possible answers. For someone who makes random guesses for all of t

he answers, find the probability of passing if the minimum passing grade is 50 %. Enter your answer in decimal form accurate to six decimal places.
Mathematics
1 answer:
Pavlova-9 [17]3 years ago
7 0

Answer:

0.00259

Step-by-step explanation:

Probability, p of making the correct guess ; 1 / 5 = 0.2

Passing grade = 50% ; 50% * 20 = 0.5 * 20 = 10

q = probability of not passing ;

q = 1 - p = 1 - 0.2 = 0.8

Using the binomial distribution formula :

P(x >=x) = nCx * p^x * (1 - p)^(n - x)

P(x >= 10) = p(x = 10) + p(x = 11)+... + p(x = 20)

P(x >= 10) = 10C20 * 0.2^10 * 0.8^10

P(x >=) 0.00259

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Read 2 more answers
Pls help<br><br> Given: △ABC, CM⊥ AB, BC = 5, AB = 7<br> CA = 4 sqrt(2)<br> Find: CM
babymother [125]

Answer:

The general plan is to find BM and from that CM. You need 2 equations to do that.

Step One

Set up the two equations.

(7 - BM)^2 + CM^2 = (4*sqrt(2) ) ^ 2 = 32

BM^2 + CM^2 = 5^2 = 25

Step Two

Subtract the two equations.

(7 - BM)^2 + CM^2  = 32

BM^2 + CM^2         = 25

(7 - BM)^2 - BM^2 = 7               (3)

Step three

Expand the left side of the new equation labeled (3)

49 - 14BM + BM^2 - BM^2 = 7    

Step 4

Simplify And Solve

49 - 14BM = 7              Subtract 49 from both sides.

-49 - 14BM = 7 - 49

- 14BM = - 42              Divide by - 14

BM = -42 / - 14

BM = 3

Step  Five

Find CM

CM^2 + BM^2 = 5^2

CM^2 + 3^2 = 5^2        Subtract 3^2 from both sides.

CM^2 = 25 - 9            

CM^2 = 16                     Take the square root of both sides.        

sqrt(CM^2) = sqrt(16)

CM = 4    < Answer

Step-by-step explanation:

6 0
3 years ago
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