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3 years ago

Which represents the solution set of the inequality 5x-9 less than or equal to 21

2 answers:

7 0

First add nine to 21. This would now make the problem 5x>30. (I don't have the less than of equal to sign on my computer but its less than or equal to in your problem) divide five on both sides. This gives you x>6.

Hitman42 [59]3 years ago

3 0

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What is the slope of the linear relationship shown in this table of values?

KATRIN_1 [288]

Answer:

Step-by-step explanation:

To find the slope m use any 2 ordered pairs from the table.

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 4, 11) and (x₂, y₂ ) = (2, - 1)

m = $\frac{-1-11}{2+4}$ = $\frac{-12}{6}$ = - 2 → B

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3 years ago

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Sanjaya is making punch. He uses 1/3 c of pineapple juice for every 3/4 c of orange juice.How many cups of pineapple juice does

Zinaida [17]

Answer:

1/4

Step-by-step explanation:

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2 years ago

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3 years ago

A car dealership sells 0, 1, or 2 luxury cars on any day. When selling a car, the dealer also tries to persuade the customer to

melisa1 [442]

Answer:

Mean = 1.42

Variance = 0.58

Step-by-step explanation:

Given: X denote the number of luxury cars sold in a given day, and Y denote the number of extended warranties sold.

Also, joint probability function of X and Y are given.

To find:

mean and variance of X

Solution:

From the given joint probability function of X and Y,

$P(X=0)=\frac{1}{6}\\P(X=1)=\frac{1}{12}+\frac{1}{6}=\frac{1+2}{12}=\frac{3}{12}\\P(X=2)=\frac{1}{12}+\frac{1}{3}+\frac{1}{6}=\frac{1+4+2}{12}=\frac{7}{12}$

Mean of X:

$E(X)=\sum XP(X)\\=0\left ( \frac{1}{6} \right )+1\left ( \frac{3}{12} \right )+2\left ( \frac{7}{12} \right )\\=0+\frac{3}{12}+\frac{14}{12}\\=\frac{17}{12}=1.42$

Variance of X:

$E(X^2)=\sum X^2P(X)\\=0^2\left ( \frac{1}{6} \right )+1^2\left ( \frac{3}{12} \right )+2^2\left ( \frac{7}{12} \right )\\=0+\frac{3}{12}+\frac{28}{12}\\=\frac{31}{12}$

$var(X)=E\left [ X^2 \right ]-\left ( E\left [ X \right ] \right )^2\\=\frac{31}{12}-\left ( \frac{17}{12} \right )^2\\=\frac{31}{12}-\frac{289}{144}\\=\frac{372-289}{144}\\=\frac{83}{144}\\=0.58$