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Nady [450]
3 years ago
12

- 10x - 11 = -12x + 21​

Mathematics
2 answers:
bogdanovich [222]3 years ago
6 0
-10x-11=-12x+21
Move variable to the left side and change its sign
Move constant to the right side and change its sign
-10x+12x=21+11
2x=21+11
2x=32
Divide both sides by 2
X=16
Helen [10]3 years ago
4 0
-10x=-12x + 21 + 11
-10x= -12 + 32
-10x + 12x = 32
2x = 32
X = 32/2
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According to a Gallup survey conducted in July 2011, 20% of Americans favor reducing the U.S. budget deficit by using spending c
Yakvenalex [24]

Answer:

Option C is correct.

The test statistic for this question is -3.13

Step-by-step explanation:

To compute the z-test statistic, the formula is given as

z = (x - μ₀)/σₓ

x = p = sample proportion of the 500 college students sampled, that favor reducing the deficit using only spending cuts with no tax increase = (75/500) = 0.15

μ₀ = p₀ = the proportion to be compared against, that is, the proportion of Americans that favor reducing the U.S. budget deficit by using spending cuts only, with no tax increases = 20% = 0.20

σₓ = standard error of the sample proportion = √[p(1-p)/n]

p = 0.15

n = Sample size = 500

σₓ = √[0.15×0.85/500] = 0.01597

z = (0.15 - 0.20) ÷ 0.01597

z = -3.13

Hope this Helps!!!

8 0
3 years ago
Please help simplify with steps 
Leviafan [203]
Remember that you can always multiply or divide BOTH the numerator and denominator
of the fraction by anything you want to.  You just have to do exactly the same to both of
them.

The way to simplify a fraction is to divide both the numerator and denominator by their
greatest common factor.

Do you see all of those 'x's on the top and bottom ?  The top and bottom can
both be divided by x-cubed.

<u>Numerator:</u>
Divide (-4³) by x³, and you have (-4) left.

<u>Denominator:</u>
Divide (x³ - 2x⁴) by x³, and you have (1 - 2x) left.

So, the simplified fraction is [  -4 / (1 - 2x)  ].

That's a perfectly good answer, but you could make it look a little prettier
if you multiply the top and bottom both by -1 .  Then it would be

                             4 / (2x - 1) .

Either one is fine.
8 0
3 years ago
Does the equation x^2+y=144 define y as a function of x?
11Alexandr11 [23.1K]

The given equation is

x^2 + y = 144

First we solve for y, and for that, we have to islolate y, that is

y= 144-x^2

And it pass the vertical line test. So here y is a function of x .

So we can define the given equation as y as a function of x .

8 0
3 years ago
Approximate 221 ( square root) to the nearest hundredths.
schepotkina [342]
The answer would be C
6 0
3 years ago
A + b + c = abc(1 + 1 + 1)​
Lera25 [3.4K]
If each letter is 1, abc would be equal to 3.
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