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iris [78.8K]
4 years ago
7

Solve using substitution. x + 3y = -13 5x + 7y = -9

Mathematics
1 answer:
baherus [9]4 years ago
6 0
From equation 1
x = -3y-13
plug this into equation 2:-
5(-3y-13) + 7y = -9
-15y - 65 + 7y = -9
-8y = 56
y = -7 
Now plug y = 7 into equation 1
x - 21 = -13
x =  -13 + 21 = 8

solution is x = 8 , y = -7

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The expression 7! is equal to which of the following
Sladkaya [172]
Its basically 7 see there is nothing but the number 7 which means as to an expression its 7.
8 0
3 years ago
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Whitch number 4,5,6 is a solution of x+5>10
Alex73 [517]
: 6

:

- i just plugged in every number in.
4 + 5 > 10
9 > 10? nope.

5+5 > 10
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6+5 > 10
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6 0
3 years ago
construct a 90% confidence interval of the population proportion using the giver information x=74 n=150
FrozenT [24]

Answer:

The 90% confidence interval of the population proportion is (0.43, 0.56).

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for population proportion <em>p</em> is:

CI=\hat p\pm z_{\alpha/2}\ \sqrt{\frac{\hat p(1-\hat p)}{n}}

The information provided is:

<em>X</em> = 74

<em>n</em> = 150

Confidence level = 90%

Compute the value of sample proportion as follows:

\hat p=\frac{X}{n}=\frac{74}{150}=0.493

Compute the critical value of <em>z</em> for 90% confidence level as follows:

z_{\alpha/2}=z_{0.10/2}=z_{0.05}=1.645

*Use a <em>z</em>-table.

Compute the 90% confidence interval of the population proportion as follows:

CI=\hat p\pm z_{\alpha/2}\ \sqrt{\frac{\hat p(1-\hat p)}{n}}

     =0.493\pm 1.645\times \sqrt{\frac{0.493(1-0.493)}{150}}\\\\=0.493\pm 0.0672\\\\=(0.4258,\ 0.5602)\\\\\approx (0.43,\ 0.56)

Thus, the 90% confidence interval of the population proportion is (0.43, 0.56).

3 0
3 years ago
4y+6 for y-12<br> Evaluate the expression.
Vedmedyk [2.9K]

Answer:

54

Step-by-step explanation:

I think what you mean is y = 12, so I'll just go off that. So we substitute 12 for y and we get 4*12 + 6. Then we multiply. 48 + 6 and we get 54! I hope this helped and please mark brainliest!

5 0
3 years ago
What is the midpoint of side AB in the triangle below?
Ierofanga [76]

B

Step-by-step explanation:

half of 11 is 5.5 so counting that from either of the points leads to .5

Then continuing from there, half of 9 is 4.5 so moving the point up would get 2.5

3 0
3 years ago
Read 2 more answers
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