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2 years ago

Solve using substitution: y = 22x + 10 y = 20x + 16

Mathematics

2 answers:

stealth61 [152]2 years ago

4 0

Answer:

x=3, y=76

Step-by-step explanation:

You set them equal because you plug in "y" as 22x+10 into "y=20x+16"

22x+10=20x+16

2x=6

x=3

20(3)+16=76

faust18 [17]2 years ago

4 0

Answer:

The answer to your question is (3, 76)

Step-by-step explanation:

Data

Equation 1 y = 22x + 10

Equation 2 y = 20x + 16

Process

1.- Substitute equation 1 in equation 2

22x + 10 = 20x + 16

2.- Solve for x

22x - 20x = 16 - 10

3.- Simplify

2x = 6

x = 6/2

x = 3

4.- Find y

y = 22(3) + 10

5.- Simplify

y = 66 + 10

y = 76

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olganol [36]

Answer:

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Step-by-step explanation:

We are given that he X SORT method is designed to increase the likelihood that a baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5.

Now consider a group consisting of 36 couples.

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where, n = number of trials (samples) taken = 36 couples

r = number of success

p = probability of success which in our question is probability

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Let X = Numbers of girls in groups of 36 births

So, X ~ Binom(n = 36, p = 0.5)

Now, mean for the numbers of girls in groups of 36 births is given by;

Mean, E(X) = $n \times p$ = $36 \times 0.5$ = 18

Also, standard deviation for the numbers of girls in groups of 36 births is given by;

Standard deviation, S.D.(X) = $\sqrt{n\times p\times (1-p)}$

= $\sqrt{36\times 0.5\times (1-0.5)}$

= 3

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2 years ago

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Dima020 [189]

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I used the difference of squares rule to factor x^2 - 144. It might help to write x^2 - 144 as x^2 - 12^2, then compare it to a^2 - b^2 = (a-b)(a+b)

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