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wlad13 [49]
3 years ago
14

Ms smith has 28 sixth graders and 35 7th graders for math.If she wants to break the two grades into identical groups without any

students left over,how many students will be in each group?
Mathematics
1 answer:
Lina20 [59]3 years ago
4 0
Ms. Smith can make:
1 group of 63, or 63 groups of 1
3 groups of 21, or 21 groups of 3
7 groups of 9, or 9 groups of 7

28+35
63 students

Multiples of 63
1,<em>3,7,9,21,</em>63<em />
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Given Information:  

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Answer:

\bar{x} = 1884\\

Step-by-step explanation:

What is Normal Distribution?

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.  

We want to find out the minimum score that qualifies for the scholarship by scoring in the top 10% of this test.

P(X > \bar{x} )= P(Z > \bar{x}) = 0.10\\P(X < \bar{x} )= P(Z < \bar{x}) = 1 - 0.10\\P(X < \bar{x} )= P(Z < \bar{x}) = 0.90\\

The z-score corresponding to the probability of 0.90 is 1.28 (from the z-table)

\bar{x} = \mu + z(\sigma) \\\bar{x} = 1500 + 1.28(300)\\\bar{x} = 1500 + 384\\\bar{x} = 1884\\

Therefore, you need to score 1884 in order to  qualify for the scholarship.

How to use z-table?

Step 1:

In the z-table, find the probability value of 0.90 and note down the value of the that row which is 1.2

Step 2:

Then look up at the top of z-table and note down the value of the that column which is 0.08

Step 3:

Finally, note down the intersection of step 1 and step 2 which is 1.28

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Answer:

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Step-by-step explanation:

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