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3 years ago

What fraction of an hour is 50 minutes

Mathematics

2 answers:

Arlecino [84]3 years ago

7 0

Answer: 5/6

Step-by-step explanation:

All we need do is to try to change 50 minutes to hour.

Remember that 60 minutes make 1 hour , so we need to find 50 minutes out of 1 hour , that is 50 minutes out of 60 minutes. Which is 50/60. Therefore:

50 minutes is 50/60 fraction of an hour

50/ 60 is the same as 5/6 in reduced form

den301095 [7]3 years ago

7 0

Answer:

Step-by-step explanation:

1hour is 60minutes

= 50/60

= 5/6

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Suppose that Y has density function

zvonat [6]

I'm assuming

$f(y)=\begin{cases}ky(1-y)&\text{for }0\le y\le1\\0&\text{otherwise}\end{cases}$

(a) f(x) is a valid probability density function if its integral over the support is 1:

$\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx=k\int_0^1 y(1-y)\,\mathrm dy=k\int_0^1(y-y^2)\,\mathrm dy=1$

Compute the integral:

$\displaystyle\int_0^1(y-y^2)\,\mathrm dy=\left(\frac{y^2}2-\frac{y^3}3\right)\bigg|_0^1=\frac12-\frac13=\frac16$

So we have

k / 6 = 1 → k = 6

(b) By definition of conditional probability,

P(Y ≤ 0.4 | Y ≤ 0.8) = P(Y ≤ 0.4 and Y ≤ 0.8) / P(Y ≤ 0.8)

P(Y ≤ 0.4 | Y ≤ 0.8) = P(Y ≤ 0.4) / P(Y ≤ 0.8)

It makes sense to derive the cumulative distribution function (CDF) for the rest of the problem, since F(y) = P(Y ≤ y).

We have

$\displaystyle F(y)=\int_{-\infty}^y f(t)\,\mathrm dt=\int_0^y6t(1-t)\,\mathrm dt=\begin{cases}0&\text{for }y$

Then

P(Y ≤ 0.4) = F (0.4) = 0.352

P(Y ≤ 0.8) = F (0.8) = 0.896

and so

P(Y ≤ 0.4 | Y ≤ 0.8) = 0.352 / 0.896 ≈ 0.393

(c) The 0.95 quantile is the value φ such that

P(Y ≤ φ) = 0.95

In terms of the integral definition of the CDF, we have solve for φ such that

$\displaystyle\int_{-\infty}^\varphi f(y)\,\mathrm dy=0.95$

We have

$\displaystyle\int_{-\infty}^\varphi f(y)\,\mathrm dy=\int_0^\varphi 6y(1-y)\,\mathrm dy=(3y^2-2y^3)\bigg|_0^\varphi = 0.95$

which reduces to the cubic

3φ² - 2φ³ = 0.95

Use a calculator to solve this and find that φ ≈ 0.865.

8 0

3 years ago

What is the solution to -84 + 28 = With an explanation please,,

myrzilka [38]

Answer:

-56

Step-by-step explanation:

You have a negative plus a positive which will give you a negative for the answer. Because you are adding a positive 28 to a negative 84 you get a negative 56.

7 0

3 years ago

99.00000000000 x 9/11

julia-pushkina [17]

Step-by-step explanation:

=99*9/11

- -

_____

=891/11

=81

3 0

3 years ago

What is the product of (3√8)(4√3)? Simplify your answer

andreyandreev [35.5K]

The answer is: 24√6 .
_______________________________
The question asks:
_______________________________
"What is the product of (3√8)(4√3)? Simplify your answer/

First, let us simplify: "√8"

"√8 = √4*√2 = 2√2 ;

So, "3√8 = 3*2√2 = 6√2" .

So, "what is the product of "(3√8)(4√3)"?

Rewrite, replacing the "(3√8)" with "6√2" ; as follows:

6√2* 4√3 = 6*4 *√2*√3 = 24 *√(2*3) = 24√6 .
______________________________________

3 0

3 years ago

Dante plans to put 80% of his paycheck into a savings ccount and spend the other 20%. His paycheck this week was $295. About how

Anni [7]

The 20% statement is useless

80% of $295 is what?
80%×295=??
.80 × 295 = $236.00 in savings

7 0

3 years ago