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aivan3 [116]
3 years ago
12

The ratio of total students in Mrs.Murrays class to students in the class who have an older brother is 3 to 1. The answer is 1:2

. What is the question
Mathematics
1 answer:
Komok [63]3 years ago
8 0

Answer:

'What is the ratio of students in Mrs. Murray's class who have an older brother to the number of students who does not have older brother?'

Step-by-step explanation:

In Mrs. Murray's class, the ratio of students in the class having an older brother to the total number of students is 1 : 3.

So, we can say 3x is the number of total students in the class of Mrs. Murrays, and x students among them have an older brother.

Hence, the number of students among all who do not have an older brother is (3x - x) = 2x

Therefore, the question may be 'What is the ratio of students in Mrs. Murray's class who have an older brother to the number of students who does not have an older brother?'

The answer is x : 2x = 1 : 2 (Answer)

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Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

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In this question:

If she pays within 6 months, she is not charged any interest.

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3 years ago
The amount of toothpaste in a tube is normally distributed with a mean of 6.5 ounces and a standard
Anarel [89]

Answer:

a) 266 tubes ,  TC_r = $53.2

b) 266 tubes ,  T.Loss = $13.30

Step-by-step explanation:

Given:

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- The mean of the sample u = 6.5 oz

- The standard deviation of the sample s.d = 0.8 oz

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- Cost of refilling a tube C_r = 20 cents

- Profit loss per tube Loss = 5 cents

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a). How many tubes will be found to contain less than 6 ounces? In that case, what will be the total cost of the  refill?

b) How many tubes will be found to contain more than 7 ounces? In that case, what will be the amount of  profit lost?

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- First we will compute the probability of tube containing less than 6 oz.

- Declaring X : The amount of toothpaste.

Where,                         X ~ N ( 6.5 , 0.8 )

- We need to compute P ( X < 6 oz )?

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                  P ( X < 6 oz ) =  P ( Z < (6 - 6.5) / 0.8 ) = P ( Z < -0.625 )

Use the Z table to find the probability:

                               P ( X < 6 oz ) = P ( Z < -0.625 ) = 0.266

- The probability that it lies below 6 ounces. The total sample size is n = 1000.

       The number of tubes with X < 6 ounces = 1000* P ( X < 6 oz )

                                                                           = 1000*0.266 = 266 tubes.

- The total cost of refill:

                            TC_r = C_f*(number of tubes with X < 6)

                            TC_r = 20*266 = 5320 cents = $53.2

- We need to compute P ( X > 7 oz )?

Compute the Z-score value:

                  P ( X > 7 oz ) =  P ( Z > (7 - 6.5) / 0.8 ) = P ( Z < 0.625 )

Use the Z table to find the probability:

                               P ( X > 7 oz ) = P ( Z > 0.625 ) = 0.266

- The probability that it lies above 7 ounces. The total sample size is n = 1000.

       The number of tubes with X > 7 ounces = 1000* P ( X > 7 oz )

                                                                           = 1000*0.266 = 266 tubes.

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                            T.Loss = Loss*(number of tubes with X > 7)

                            T.Loss = 5*266 = 1330 cents = $13.30

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