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4 years ago

Y varies directly with X if y equals 39 when x equals 3 What is the value of y when x equals 2

Mathematics

1 answer:

igomit [66]4 years ago

4 0

Answer:

y = 26 when x = 2

Step-by-step explanation:

Y varies directly with X

y= kx

39 = 3k

k = 13

y = 13x

y(2)= 13(2) = 26

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3 years ago

A sample of 2,500 people was asked how many cups of coffee they drink in the morning. You are given the following sample informa

Misha Larkins [42]

Answer: V(X) = 0.96

Step-by-step explanation: Variance is defined as the average of the squared difference from the sample or population mean.

For a discrete frequency distribution is calculated following the steps:

1) Determine expected value or mean:

$E(X)=\frac{\Sigma xf}{\Sigma f}$

$E(X)=\frac{0(700)+1(900)+2(600)+3(300)}{2500}$

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2) Multiply frequency and the squared difference of x and expected value:

$f(x-E(X))^{2}$

$700(0-1.2)^{2}=1008\\900(1-1.2)^{2} = 36\\600(2-1.2)^{2} = 384\\300(3-1.2)^{2} = 972$

3) Add them:

$\Sigma [f(x-E(X))^{2}]$ = 1008 + 36 + 384 + 972 = 2400

4) Divide the sum per frequency total:

$V(X)=\frac{\Sigma [f(x-E(X))^{2}]}{\Sigma f}$

$V(X)=\frac{2400}{2500}$

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The variance of the number of cups of coffee is 0.96.

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3 years ago

What is the completely factored form of 6 x squared minus 13 x minus 5?

777dan777 [17]

Answer:

$(2x-5)(3x+1)$

Step-by-step explanation:

The given quadratic trinomial is $6x^2-13x-5$

Where a=6, b=-13 and c=-5

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The factors of -30 that add up to -13 are -15,2

We split the middle term to get:

$6x^2+2x-15x-5$

Factor by grouping:

$2x(3x+1)-5(3x+1)$

These completely factors to:

$(2x-5)(3x+1)$

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3 years ago