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3 years ago

Solving system of equations using elimination 3x-3y=-6 , -5x+6y=12

Mathematics

1 answer:

suter [353]3 years ago

3 0

Answer:

x=0, y=2

Step-by-step explanation:

Please see attached picture for full solution.

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What's 10⁄12 written as a fraction in simplest form?

AveGali [126]

That would be
A. 5/6

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3 years ago

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You decide to take your car on a drive through canada, where gas is sold in liters and distances are measured in kilometers. sup

Darya [45]

Alright, lets get started.

Lets convert the efficiency of the car from miles/gallon to kilometers/liters.

$32*\frac{1}{0.6214*3.78} \frac{km}{liter}$

13.62 km/liter

For 13.62 km, it takes gas = 1 liter

For 410 km, it takes gas =

$\frac{410}{13.62}$ = 30.10

30.10 liters of gas will you need to complete a 410.0 km trip. : Answer

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3 years ago

What is the domain of the relation {(2, 8), (0, 8), (–1, 5), (–1, 3), (–2, 3)}?

alekssr [168]

<u>Domain</u> <u>Range</u>
    -1 3
   0 5
   2 8
   3

The domain of the relation {(2, 8), (0, 8), (-1, 5), (-1, 3), (-2, 3)} is {-1, 0, 2, 3}.

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3 years ago

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Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the fiv

Nesterboy [21]

Answer:

a) It is probability distribution

b) mean = 2.5

c) Standard Deviation = 1.11

Step-by-step explanation:

We are given the following in the question:

x 0 1 2 3 4 5

P(x) 0.033 0.149 0.318 0.318 0.149 0.033

Probability distribution:

$\displaystyle\sum P_i(x_i) = 0.033+ 0.149 +0.318+ 0.318+ 0.149 +0.033 = 1$

Since, the summation of all the probabilities is 1 and each value of probability is between 0 and 1, the given is a probability distribution.

Mean of probability distribution:

$E(x) = \displaystyle\sumx_iP(x_i)\\E(x) = 0(0.033)+ 1(0.149)+2(0.318)+3(0.318) +4(0.149) + 5(0.033)\\E(x) = 2.5$

Thus, the mean of distribution is 2.5

Standard deviation of probability distribution:

$E(x^2) = 0^2(0.033)+ 1^2(0.149)+2^2(0.318)+3^2(0.318) +4^2(0.149) + 5^2(0.033)\\E(x^2) = 7.492\\\sigma^2 = E(x^2) - (E(x))^2\\\sigma^2 = 7.492 - (2.5)^2 = 1.242\\\sigma= \sqrt{1.242} = 1.11$

Thus, the standard deviation of the probability distribution is 1.11

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4 years ago

A certain workbench is on sale for 4 dollars off of its regular price. Normally the bench sells for 29 dollars. With the sale, h

Evgesh-ka [11]

The cost of the bench b=$29

There is $4 off on the bench

That would make it b=29-4, hence the option C

8 0

3 years ago