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Papessa [141]
3 years ago
8

A college-entrance exam is designed so that scores are normally distributed with a mean of 500 and a standard deviation of 100.

You scored a 625. Calculate your z-score to the nearest hundredth (i.e. 2 decimal places).
z=
Mathematics
1 answer:
Crank3 years ago
6 0

Answer: 1.25

Step-by-step explanation:

Given: A college-entrance exam is designed so that scores are normally distributed with a mean(\mu) = 500 and a standard deviation(\sigma) =  100.

A z-score measures how many standard deviations a given measurement deviates from the mean.

Let Y be a random variable that denotes the scores in the exam.

Formula for z-score = \dfrac{Y-\mu}{\sigma}

Z-score = \dfrac{625-500}{100}

⇒ Z-score = \dfrac{125}{100}

⇒Z-score =1.25

Therefore , the required z-score = 1.25

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In a class, 60% of the students are boys and the rest are girls. If the number of boys is 30, how many students are there? ​
irga5000 [103]

50 total students

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Explanation:

total students: 100%

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5 0
2 years ago
Find the value of y2=255
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y

=

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Step-by-step explanation:

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3 years ago
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If four blue marbles and eight non-blue marbles make a probability of 0.33, how many non-blue marbles do you need to combine wit
den301095 [7]

The number of non-blue marbles you need to combine with the blue marbles to achieve a probability of 0.1 is 28.

<h3>How many non-blue marbles are needed?</h3>

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The more likely the event is to happen, the closer the probability value would be to 1. The less likely it is for the event not to happen, the closer the probability value would be to zero.

Probability of picking a blue marble = number of blue marble / total number of marbles

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The number of non-blue marbles needed = ( 4 / 0.1) - 12

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5 0
1 year ago
part of the river she observed fell 1.68 millimeters per year for 1.5 years. Use the distributive property to calculate the exac
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This approach makes use of the distributive property of multiplication.
8 0
3 years ago
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