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Firlakuza [10]
3 years ago
7

en un salón de clases se repartió 95 bolsas de dulces cada niño recibe 3 bolsas cuántos niños había en el salón​

Mathematics
1 answer:
evablogger [386]3 years ago
6 0

Sabemos que cada niño recibe tres bolsas, por lo que dividimos 95 entre 3 y obtenemos 31 restantes 2. Debido a esto, sabemos que hay 31 niños y nos sobran 2 bolsas.

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mihalych1998 [28]

Given Information:  

Mean SAT score = μ = 1500

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Minimum score in the top 10% of this test that qualifies for the scholarship = ?

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\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\\

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\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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