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3 years ago

16 is 40% of what number?

1 answer:

8 0

$\begin{array}{cccc}16&-&40\%&|divide\ both\ sides\ by\ 4\\4&-&10\%&|multiply\ both\ sides\ by\ 10\\40&-&100\%\end{array}\\\\Answer:\boxed{16\ is\ 40\%\ of\ 40}$

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6−3(5x+2)−10x please explain the steps on how to simplify this polynomials.

kati45 [8]

Step-by-step explanation:

6-15x-6-10x

put the like terms together and it's now -15x-10x+6-6

-25+6-6

=-25

6 0

1 year ago

Suppose that the length of a side of a cube X is uniformly distributed in the interval 9

Nastasia [14]

Answer:

$f(v) = \left \{ {{\frac{1}{3}v^{-\frac{2}{3}}\ 9^3 \le v \le 10^3} \atop {0, elsewhere}} \right.$

Step-by-step explanation:

Given

$9 < x < 10$ --- interval

Required

The probability density of the volume of the cube

The volume of a cube is:

$v = x^3$

For a uniform distribution, we have:

$x \to U(a,b)$

and

$f(x) = \left \{ {{\frac{1}{b-a}\ a \le x \le b} \atop {0\ elsewhere}} \right.$

$9 < x < 10$ implies that:

$(a,b) = (9,10)$

So, we have:

$f(x) = \left \{ {{\frac{1}{10-9}\ 9 \le x \le 10} \atop {0\ elsewhere}} \right.$

Solve

$f(x) = \left \{ {{\frac{1}{1}\ 9 \le x \le 10} \atop {0\ elsewhere}} \right.$

$f(x) = \left \{ {{1\ 9 \le x \le 10} \atop {0\ elsewhere}} \right.$

Recall that:

$v = x^3$

Make x the subject

$x = v^\frac{1}{3}$

So, the cumulative density is:

$F(x) = P(x < v^\frac{1}{3})$

$f(x) = \left \{ {{1\ 9 \le x \le 10} \atop {0\ elsewhere}} \right.$ becomes

$f(x) = \left \{ {{1\ 9 \le x \le v^\frac{1}{3} - 9} \atop {0\ elsewhere}} \right.$

The CDF is:

$F(x) = \int\limits^{v^\frac{1}{3}}_9 1\ dx$

Integrate

$F(x) = [v]\limits^{v^\frac{1}{3}}_9$

Expand

$F(x) = v^\frac{1}{3} - 9$

The density function of the volume F(v) is:

$F(v) = F'(x)$

Differentiate F(x) to give:

$F(x) = v^\frac{1}{3} - 9$

$F'(x) = \frac{1}{3}v^{\frac{1}{3}-1}$

$F'(x) = \frac{1}{3}v^{-\frac{2}{3}}$

$F(v) = \frac{1}{3}v^{-\frac{2}{3}}$

So:

$f(v) = \left \{ {{\frac{1}{3}v^{-\frac{2}{3}}\ 9^3 \le v \le 10^3} \atop {0, elsewhere}} \right.$

8 0

2 years ago

10 cm<br> What’s the answer?

KIM [24]

Answer:

if im correct it should be 40

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

The table shows the marginal relative frequencies of surveyed drivers’ plans for their next vehicle.

Maslowich

:Answer:

1.) The majority of drivers, about 62 percent, plan to buy a used vehicle next.

3.) Ten percent of drivers lease their current vehicle.

5.) The least percentage of people will lease their next car.

Correct on EDGE2021

3 0

2 years ago

Rick Mendez bought stock for $5,000, using $2,500 of his own money and $2,500 borrowed from the broker. One month later, the sto

-BARSIC- [3]

Answer:

It is 6%

Explanation:

The stock that is bought by Rick Mendez: 5,000

Own money used to buy: 2,500

Borrowed money: 2,500

Interest on borrowed money : 30

Brokerage commissions: 300

The stock is sold after one month: 5,650

Now first calculate the net profit = Selling price of stock – cost price of stock – Interest on borrowing – commission

5,650-5,000-30-300=320

Now calculate the rate of return = Net profit / cost of stock

320/5,000=.06

.06 or 6%

6 0

3 years ago