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EleoNora [17]
3 years ago
11

Solve for y 4.2x - 1.4y = 2.1

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
8 0
4.2x - 1.4y = 2.1    |multiply both sides by 10

42x - 14y = 21    |subtract 42x from both sides

-14y = 21 - 42x    |change signs

14y = 42x - 21    |divide both sides by 14

y = 3x - 1.5
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.<br><br> y = x2 + 3<br> y = x + 5
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I assume you mean x squared in the first equation

Because both are equal to y, they are equal to each other so x + 5 = x^2 +3
If we then move everything over to one side, we get x^2 - x - 2 = 0

Then factorise it to (x-2)(x+1) = 0
And solve both parts separately

x + 1 = 0
x = -1

x-2 = 0
x = 2

Sub both values into the simplest equation in this case y=x+5
to get y = 4 and y = 7
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1 year ago
Two cylindrical cans have the same volume. the height of one can is triple the height of the other. if the radius of the narrowe
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2 years ago
Zoe placed colored blocks on a scale in science class. Each block weighed 0.8 ounces. The total weight of all the colored blocks
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Answer:

16 blocks. 12.8=(.8)x

Step-by-step explanation:

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2 years ago
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Dorothy Little purchased a mailing list of 2,000 names and addresses for her mail order business, but after scanning the list sh
andrew-mc [135]

Answer:

P(X > 0) = 0.9222

Step-by-step explanation:

For each name, there are only two outcomes. Either the name is authentic, or it is not. So, we can solve this problem using the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And \pi is the probability of X happening.

In this problem.

5 names are selected, so n = 5

A success is a name being non-authentic. 40% of the names are non-authentic, so \pi = 0.40.

We have to find P(X > 0)

Either the number of non-authentic names is 0, or is greater than 0. The sum of these probabilities is decimal 1. So:

P(X = 0) + P(X > 0) = 1

P(X > 0) = 1 - P(X = 0)

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 0) = C_{5,0}*(0.40)^{0}*(0.6)^{5} = 0.0778

So

P(X > 0) = 1 - P(X = 0) = 1-0.0778 = 0.9222

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2 years ago
If you have 97% in ELA, 83% in math, 87% in Science, and 67% in social studies, what is your overall score in a percentage?
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%66 would be the overall

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