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3 years ago

Solve the following system of equations. 9x - 5y = 11 5x + 4y = -21

1 answer:

5 0

9x-5y=11

Move all terms containing x to the left, all other terms to the right.
now add 5y to each side and now it should look like this:
9x + -5y + 5y = 11 + 5y

Now divide each side by 9 and the answer is....
Simplifying x = 1.222222222 + 0.5555555556y

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<img src="https://tex.z-dn.net/?f=2%20%2B%20%28%20-%203%29%20%20%20%5E%7B2%7D%20" id="TexFormula1" title="2 + ( - 3) ^{2} " al

Troyanec [42]

Answer:

Step-by-step explanation:

$2 + ( - 3) ^{2} \\ \\ = 2 + 9 \\ \\ = 11$

4 0

3 years ago

Read 2 more answers

A multiple choice test is composed of 10 questions. Each question has four possible answers, only one of the four possible answe

kompoz [17]

Answer:

Let X the random variable of interest "Number of correct anwers on the tet", on this case we now that:

$X \sim Binom(n=10, p=0.25)$

And the expected value is given by:

$E(X) = np =10*0.25 = 2.5$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Solution to the problem

Let X the random variable of interest "Number of correct anwers on the tet", on this case we now that:

$X \sim Binom(n=10, p=0.25)$

And the expected value is given by:

$E(X) = np =10*0.25 = 2.5$

4 0

3 years ago

IS THIS CORRECT ?? HELP ASAP THANKS!

OLEGan [10]

Pretty sure it is.......

3 0

3 years ago

Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. Lou's car had 6.8

tamaranim1 [39]

Sorry don't follow what I just said I misread the question.

3 0

4 years ago

a man covers a distance of 15kn, in 3 hours partly by walking and partly by running. if he walks at 3km/h and runs at 9km/h, fin

irinina [24]

Speed = distance/time
distance = speed * time

let x = time covered by running
15 = run distance + walk distance
15 = 9(x) + 3(3-x)
15 = 9x + 9 - 3x
15 - 9 = 6x
6 = 6x
x = 1 hour

Therefore:
Running distance = speed * time
RD = 9km/hr * 1 hr
RD = 9km

5 0

3 years ago