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3 years ago

Solve the equation. Select all that apply.

Mathematics

1 answer:

nika2105 [10]3 years ago

4 0

Answer:

x = 11, x = -11

Step-by-step explanation:

I know this is kind of late but the two previous answers were wrong.

We have x² = 121. To find x, we need to get rid of the exponent, and to do this, we can take the square root of both sides:

√x² = √121

x = √121

You might think that x = 11 but remember, x can be negative as well because you can square negative numbers. Basically, every real number has two square roots - a positive and a negative one. So, the answer isn't just x = 11, it's also x = -11 because (-11)² = 121 as well.

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Suppose the probability of an irs audit is 2.8 percent for U.S. taxpayers who file form 1040 and who earn 100,000 or more. What

stiks02 [169]

Answer:

So, the odds that a taxpayer would be audited 28 to 972 or 2.88%

Step-by-step explanation:

Given

Let P(A) = Probability of irs auditing

P(A) = 2.8%

Let n = number of those who earn above 100,000

To get the odds that taxpayer would be audited, we need to first calculated the proportion of those that will be audited and those that won't.

If the probability is 2.8% then 2.8 out of 100 will be audited. That doesn't make a lot of sense since you can't have 2.8 people; we multiply the by 10/10

i.e.

Proportion, P = 2.8/100 * 10/10

P = 28/1000

The proportion of those that would not be audited is calculated as follows;

Q = 1000 - P

By substituton

Q = 1000 - 28

Q = 972

So, the odds that a taxpayer would be audited 28 to 972 or P/Q

P/Q = 28/972

= 0.0288065844

= 2.88% --- Approximately

3 0

3 years ago

The perimeter of a rectangle is 42 inches, and its area is 110 square inches. find the length and width of the rectangle.

lorasvet [3.4K]

$p = 2w + 2l$ $p = 42$
$a = l * w$ $a = 108$

You want to make either the length or width variable (I chose the width variable to be by itself. It doesn't matter) by itself by:

Divide both sides by 2.
(p) ÷ 2 = (2w + 2l) ÷ 2
$2's$ $cancel$ $out$
$\frac{p}{2} = w + l$

Subtract both sides by either length or width depending on what variable you chose to make by itself (in this case I subtracted the length variable because I wanted the width variable by itself).
$\frac{p}{2} - l = w + l - l$
$l's$ $cancel$ $out$
p/2 - l = w

$a = l * w$

You replace w with the equation above p/2 - l = w
$a = l( \frac{p}{2} - l)$

Multiply out the L.
$a = \frac{p}{2}l - l^{2}$

Plug in all your numbers a = 110 and p = 42
$110 = \frac{42}{2}l - l^{2}$
$110 = 21l - l^{2$

Move everything to the left side so $l^{2}$ would be positive (makes the equation easier when $l^{2}$ is positive).
$l^{2} - 21l + 110 = 0$

Factor.
$(l -10)(l-11) = 0$

Make each parenthesis set equal to 0.
$l-11=0$ $l-10=0$

Add.
$l = 11$ $l = 10$

By doing this you solve for both the width and length so the answer is:
w = 11 L = 10

8 0

3 years ago

A baker made 35 pastries in 3 1/2 hours. how many pastries dod the baker make in one hour?

Sophie [7]

Answer:

10 pastries

Step-by-step explanation:

To find how many they made in 1 hour, divide 35 by 3 1/2

35/3.5

= 10

So, he made 10 pastries in 1 hour

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IrinaK [193]

Answer:

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Step-by-step explanation:

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ziro4ka [17]

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Step-by-step explanation:

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