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Leya [2.2K]
2 years ago
6

An item costs $440 before tax, and the sales tax is $30.80.

Mathematics
1 answer:
JulsSmile [24]2 years ago
4 0

Answer:

7%

Step-by-step explanation:

30.80%=0.308

0.308/440=0.0007%

0.0007 is the same as 7%

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Which is the correct answer? A , B , C , or D?
NeX [460]

Answer:

A

Step-by-step explanation:

f(x) - g(x)

= x² - 8 - (4 - x) ← distribute parenthesis by - 1

= x² - 8 - 4 + x ← collect like terms

= x² + x - 12 → A

4 0
3 years ago
Sample size: A researcher is trying to decide how many people to survey. Which of the following sample sizes will result in a co
oksian1 [2.3K]

Answer:

Step-by-step explanation:

Given that a researcher is trying to decide how many people to survey.

We have confidence intervals are intervals with middle value as the mean and on either side margin of error.

Confidence interval = Mean ± Margin of error

Thus confidence interval width depends on margin of error.

Margin of error = Critical value *\frac{\sigma}{\sqrt{n} }

Thus for the same confidence level and std deviation we find margin of error is inversely proportional to square root of sample size.

Hence for small n we get wide intervals.

So if sample size = 300, the researcher will get wider confidence interval

4 0
3 years ago
A ball of radius 15 has a round hole of radius 5 drilled through its center. Find the volume of the resulting solid. Hint: The u
OverLord2011 [107]

Answer:

The volume of the ball with the drilled hole is:

\displaystyle\frac{8000\pi\sqrt{2}}{3}

Step-by-step explanation:

See attached a sketch of the region that is revolved about the y-axis to produce the upper half of the ball. Notice the function y is the equation of a circle centered at the origin with radius 15:

x^2+y^2=15^2\to y=\sqrt{225-x^2}

Then we set the integral for the volume by using shell method:

\displaystyle\int_5^{15}2\pi x\sqrt{225-x^2}dx

That can be solved by substitution:

u=225-x^2\to du=-2xdx

The limits of integration also change:

For x=5: u=225-5^2=200

For x=15: u=225-15^2=0

So the integral becomes:

\displaystyle -\int_{200}^{0}\pi \sqrt{u}du

If we flip the limits we also get rid of the minus in front, and writing the root as an exponent we get:

\displaystyle \int_{0}^{200}\pi u^{1/2}du

Then applying the basic rule we get:

\displaystyle\frac{2\pi}{3}u^{3/2}\Bigg|_0^{200}=\frac{2\pi(200\sqrt{200})}{3}=\frac{400\pi(10)\sqrt{2}}{3}=\frac{4000\pi\sqrt{2}}{3}

Since that is just half of the solid, we multiply by 2 to get the complete volume:

\displaystyle\frac{2\cdot4000\pi\sqrt{2}}{3}

=\displaystyle\frac{8000\pi\sqrt{2}}{3}

5 0
3 years ago
Identify the transformation on the figure shown.
Karo-lina-s [1.5K]
Reflection over x axis
C
4 0
2 years ago
Read 2 more answers
I need help very much please
musickatia [10]

Answer:

1/4

Step-by-step explanation:

5/20 = 1/4

hope this helps

4 0
3 years ago
Read 2 more answers
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