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posledela
3 years ago
8

2x + 3y= 22 -2x +5y=-6

Mathematics
1 answer:
sasho [114]3 years ago
5 0

The solution is x = 8 and y = 2

<em><u>Solution:</u></em>

<em><u>Given are the system of equations</u></em>

2x + 3y = 22 -------- eqn 1

-2x + 5y = -6 ----- eqn 2

We can solve the system of equations by elimination method

<em><u>Add eqn 1 and eqn 2</u></em>

Eqn 1 + Eqn 2

2x + 3y -2x + 5y = 22 - 6

0x + 3y + 5y = 16

8y = 16

Divide both sides of equation by 8

<h3>y = 2</h3>

Substitute y = 2 in eqn 1

2x + 3(2) = 22

2x = 22 - 6

2x = 16

<h3>x = 8</h3>

Thus the solution is x = 8 and y = 2

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Answer:

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We factor 3 first to obtain;

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We split the middle term to get;

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2 years ago
PLSS HELP ASAP TYSM &lt;33 SORRY I COULDN'T FIND SCIENCE LOLL ​
dimaraw [331]

Answer:

Rock D.

Step-by-step explanation:

We can assume that the force that the catapult does is always the same.

So, here we need to remember Newton's second law:

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Where acceleration is the rate of change of the velocity.

So, if we want the rock to hit closer to the catapult, the rock must be less accelerated than rock B.

So, we can rewrite:

a = F/m

So, as larger is the mass of the rock, smaller will be the acceleration of the rock after it leaves the catapult (because the mass is in the denominator). So if we want to have a smaller acceleration, we need to choose a rock with a larger mass than rock B.

Assuming that the mass depends on the size, the only one that has a mass larger than rock B is rock D.

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3 years ago
A manufactured lot of buggy whips has 20 items, of which 5 are defective. A random sample of 5 items is chosen to be inspected.
dimulka [17.4K]

Answer:

a. 39.55%

b. 44.02%

Step-by-step explanation:

We have the following data:

n = 5

x = 1

p = 5/20 = 0.25

to. If the sampling is done with replacement.

We apply the binomial distribution formula, which is as follows:

P = nCx * (p ^ x) * ((1-p) ^ (n-x))

Where nCx, is a combination, and is equal to:

nCx = n! / x! * (n-x)!

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b. if the sampling is done without replacement.

Here it is a little different from the previous one, but what you should do is calculate three cases,

the first was the one at point a, when n = 5 and x = 1

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Replacing:

P = 5 * 1365/15504

P = 0.4402

Which means that without replacing the probability is 44.02%

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