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3 years ago

List three ordered pairs that represent solutions to the equation 2x - y = 3.

Mathematics

1 answer:

marishachu [46]3 years ago

3 0

Answer:

(0,-3)

(1.-1)

(2,1)

Step-by-step explanation:

those are the only possible solutions to the equation. Choose any value for

x that is in the domain to plug into the equation.

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The headless horseman rode 4/1-2 miles from the old Dutch burying ground to the haunted woods he then traveled 9/3-4 miles from

enyata [817]

Answer:

26 1/4 miles

Step-by-step explanation:

9+4+12=25

1/2+3/4=1 1/4

25+1 1/4= 26 1/4

7 0

3 years ago

if you took 7 hours to mow 4 lawns, then at that rate, how many lawns could be lawns could be mowed in 35 hours? at what rate we

liraira [26]

It takes 7 hours to mow 4 lawns
Therefore every hour, (4 ÷ 7) or 4/7 lawns are mowed. This gives the rate.

For 35 hours, 4/7 x 35 lawns are mowed.
=35 ÷ 7 = 5
= 4 × 5
= 20 lawns

3 0

3 years ago

Find the variance of the following data. Round your answer to one decimal place. x 1 2 3 4 5 P(X=x) 0.3 0.2 0.2 0.1 0.2

Reptile [31]

The variance of a distribution is the square of the standard deviation

The variance of the data is 2.2

<h3>How to calculate the variance</h3>

Start by calculating the expected value using:

$E(x) = \sum x* P(x)$

So, we have:

$E(x) = 1 * 0.3 + 2* 0.2 +3 * 0.2 + 4 * 0.1 + 5 * 0.2$

This gives

$E(x) = 2.7$

Next, calculate E(x^2) using:

$E(x^2) = \sum x^2* P(x)$

So, we have:

$E(x^2) = 1^2 * 0.3 + 2^2* 0.2 +3^2 * 0.2 + 4^2 * 0.1 + 5^2 * 0.2$

$E(x^2) = 9.5$

The variance is then calculated as:

$Var(x) = E(x^2) - (E(x))^2$

So, we have:

$Var(x) = 9.5 - 2.7^2$

$Var(x) = 2.21$

Approximate

$Var(x) = 2.2$

Hence, the variance of the data is 2.2