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NISA [10]
3 years ago
13

What two numbers have a sum of 24 and have a quotient of 3?

Mathematics
2 answers:
gogolik [260]3 years ago
7 0
1st number is x
then the other will be 3x
3x+x=24
4x=24
x=6-first number
2nd is 3*6=18
Vikentia [17]3 years ago
6 0
--------------------------------------------
Define x and y :
--------------------------------------------
Let one number be x.
Let the other number be y.

--------------------------------------------
Construct equation :
--------------------------------------------
x + y = 24
x ÷ y = 3

--------------------------------------------
Solve for x and y :
--------------------------------------------
x + y = 24 ------------------- (1)
x ÷ y = 3 --------------------- (2)

--------------------------------------------
From equation 1 :
--------------------------------------------
x + y = 24
x = 24 - y 

--------------------------------------------
Sub x = 24 - y into 2 :
--------------------------------------------
x ÷ y = 3               // Equation 2
(24 - y) ÷ y = 3      // Sub x = 24
24 - y = 3y            // Multiply by y on both sides
24 = 4y                 // Add y to both sides
4y = 24                 // Switch side, make y the subject
y = 6                     // Divide by 4 on both sides

--------------------------------------------
Sub y = 6 into equation 1 :
--------------------------------------------
x + y = 24            // Equation 1
x + 6 = 24            // sub y = 6
x = 18                  // Take away 6 from both sides

--------------------------------------------
Find the two numbers :
--------------------------------------------
One number = x = 18
The one number = y = 6

------------------------------------------------------------------
Answer: The two numbers are 18 and 6.
------------------------------------------------------------------
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Answer:

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Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

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This is the 95th percentile, that is, X when Z has a pvalue of 0.95. So X when Z = 1.65.

Z = \frac{X - \mu}{\sigma}

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7 0
3 years ago
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