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3 years ago

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Additive inverse of 400

1 answer:

Goshia [24]3 years ago

7 0

Given:

A number is 400.

To find:

The additive inverse of 400.

Solution:

We know that the sum of a number and its additive inverse is 0.

If "a" is number and "b" is its additive inverse, then

$a+b=0$

Let x be the additive inverse of 400. Then,

$400+x=0$

Subtract both sides by 400.

$400+x-400=0-400$

$x=-400$

Therefore, the additive inverse of 400 is $-400$ .

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How to create a conditional frequency table

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6 0

3 years ago

Calculate the area of each circle

Marysya12 [62]

Answer:

$2.01 \: {inches}^{2}$

Step-by-step explanation:

The formula to find the area of a circle is

$area \: of \: circle \: = \pi {r}^{2}$

Let pi be (3.14), the radios as given in the question is (1.6 ÷ 2 = 0.8). Therefore;

$\pi {r}^{2} = \\ (3.14) \: {(0.8)}^{2} \\ 3.14 \times 0.64 = \\ 2.0096\: or \: 2.01{inches}^{2}$

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2 years ago

The cost of a week long vacation in a city has a mean of 1000 and a variance of 1200. The city imposes a tax which will raise al

matrenka [14]

Answer:

The coefficient of variation after the tax is imposed is 0.033

Step-by-step explanation:

Given

$\mu =1000$ --- mean

$\sigma^2 = 1200$ --- variance

$tax = 10\%$

Required

The coefficient of variation

The coefficient of variation is calculated using:

$CV = \frac{\sqrt{\sigma^2}}{\mu}$

After the tax, the new mean is:

$\mu_{new} = \mu * (1 + tax)$

$\mu_{new} = 1000 * (1 + 10\%)$

$\mu_{new} = 1100$

And the new variance is:

$\sigma^2_{new} = \sigma^2 * (1 + tax)$

$\sigma^2_{new} = 1200 * (1 + 10\%)$

$\sigma^2_{new} = 1320$

So, we have:

$CV = \frac{\sqrt{\sigma^2}}{\mu}$

$CV = \frac{\sqrt{1320}}{1100}$

$CV = \frac{36.33}{1100}$

$CV = 0.033$

6 0

3 years ago

The length of a rectangular window is 5 feet more than its width, w. The area of the

Ilya [14]

Answer:

The equation could be used to find the dimensions of the window would be: $w^{2} + 5w = 36$

Step-by-step explanation:

as

The length of a rectangular window is 5 feet more than its width, w.

and

The area of the window is 36 square feet.

So it means

$l = w + 5$

$A = lw$

$36 = (w + 5)w$

$w^{2} + 5w = 36$

Therefore, the equation could be used to find the dimensions of the window would be: $w^{2} + 5w = 36$

8 0

3 years ago

Please help me please!!!!!!!

Alex787 [66]

The answer is B) 60

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6 0

3 years ago