A stick is broken into two pieces, at a uniformly random breakpoint. Find the CDF and average of the length of the longer piece.

The weight V of an object on Venus varies directly with its weight E on Earth. A person weighing 120 lb on Earth would weigh 106

baherus [9]

Answer: 132.50

Step-by-step explanation:

120/106 = 1.132

150/1.132 = 132.508

3 0

3 years ago

In a direct variation equation f(x) = 6 when x = 4. what is the direct variation equation

aksik [14]

Answer:

C-f(x)=1.5x

just took the quiz and 3/2 reduces to 1.5

8 0

3 years ago

Read 2 more answers

WhaThe factorization of x2 + 3x – 4 is modeled with algebra tiles.t is the factored form of x2 – x – 2?

Nataly [62]

Answer:

x^2 -x -2 = (x -2)(x +1)

Step-by-step explanation:

To factor x^2 -x -2, you look for factors of -2 that have a sum of -1:

-2 = (-1)(2) = (1)(-2) . . . . . the latter pair has a sum of -1

Then these are the constants in the binomial factors:

x^2 -x -2 = (x +1)(x -2)

_____

<em>Comment on the question</em>

The fact that x^2 +3x -4 is modeled with algebra tiles seems to be irrelevant to the question that is actually asked.

4 0

3 years ago

Use the "rule of 72" to estimate the doubling time (in years) for the interest rate, and then calculate it exactly. (Round your

Law Incorporation [45]

Answer:

According to the rule of 72, the doubling time for this interest rate is 8 years.

The exact doubling time of this amount is 8.04 years.

Step-by-step explanation:

Sometimes, the compound interest formula is quite complex to be solved, so the result can be estimated by the rule of 72.

By the rule of 72, we have that the doubling time D is given by:

$D = \frac{72}{Interest Rate}$

The interest rate is in %.

In our exercise, the interest rate is 9%. So, by the rule of 72:

$D = \frac{72}{9} = 8$ .

According to the rule of 72, the doubling time for this interest rate is 8 years.

Exact answer:

The exact answer is going to be found using the compound interest formula.

$A = P(1 + \frac{r}{n})^{nt}$

In which A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

So, for this exercise, we have:

We want to find the doubling time, that is, the time in which the amount is double the initial amount, double the principal.

is double the initial amount, double the principal.

$A = 2P$

$r = 0.09$

The interest is compounded anually, so $n = 1$

$A = P(1 + \frac{r}{n})^{nt}$

$2P = P(1 + \frac{0.09}{1})^{t}$

$2 = (1.09)^{t}$

Now, we apply the following log propriety:

$\log_{a} a^{n} = n$

So:

$\log_{1.09}(1.09)^{t} = \log_{1.09} 2$

$t = 8.04$

The exact doubling time of this amount is 8.04 years.

4 0

4 years ago

Which of the following do you use to tell whether a relationship is<br> proportional or not?

Setler79 [48]

Answer:

The correct option to tell whether a relationship is proportional or not is;

$\dfrac{y}{x}$

Step-by-step explanation:

A proportional relationship is a relationship between two variables, 'x', and 'y' such that they have equivalent ratio, such that all values of variable 'y' are given by the product of the values of the variable 'x' and a constant, 'k'

Therefore, y = k · x, from which we have;

$\dfrac{y}{x} = k = Contant$

Therefore we can use $\dfrac{y}{x}$ to tell whether a relationship is proportional or not proportional.

6 0

3 years ago