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Readme [11.4K]
3 years ago
6

9. Find P(rolling 1 or 5) with one number cube.

Mathematics
1 answer:
marta [7]3 years ago
6 0

Answer:

1/3

Step-by-step explanation:

There are 6 possible outcomes when rolling 1 die

1,2,3,4,5,6

P ( 1 or 5) = number of times 1 or 5 happens / total outcomes

               = 2/ 6

               = 1/3

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An art history professor assigns letter grades on a test according to the following scheme.A: Top 5% of scoresB: Scores below th
adoni [48]

Answer:

Grade B score:

76 \leq x \leq 89    

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 73.3

Standard Deviation, σ = 9.7

We are given that the distribution of score on test is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

B: Scores below the top 5% and above the bottom 62%

We have to find the value of x such that the probability is 0.62

P( X > x) = P( z > \displaystyle\frac{x - 73.3}{9.7})=0.62  

= 1 -P( z \leq \displaystyle\frac{x - 73.3}{9.7})=0.62  

=P( z \leq \displaystyle\frac{x - 73.3}{9.7})=0.38  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 73.3}{9.7} = 0.305\\\\x = 76.26  

We have to find the value of x such that the probability is 0.05

P(X < 0.95) = \\\\P( X < x) = P( z < \displaystyle\frac{x - 73.3}{9.7})=0.95

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 73.3}{9.7} = 1.645\\\\x = 89.26  

Thus, the numerical value of score to achieve grade B is

76 \leq x \leq 89

7 0
3 years ago
Three less than two times a number is 55. What is the number ?
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29
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3-2x (x=29) =55
29x2=58-3
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