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2 years ago

If a video is getting 12,000 views every 4 hours, how long will it take to reach 30,000 views?

Mathematics

2 answers:

nika2105 [10]2 years ago

6 0

Answer:

Step-by-step explanation:

Since we know every 4 hours the vid recieves 12,000 views, we divide 12,000 by 4 to see how many views it recieves in 1 hour. We get 3,000. So 3,000 views every hour. Divide 30,000 by 3,000, to get 10 hours.

ValentinkaMS [17]2 years ago

4 0

Step-by-step explanation:

12,000 views = 4 hours

=> 30,000 views = 4 * (30000/12000) = 10 hours.

Hence it will take 10 hours.

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Maria has 7 gallons of water. Josh has 24 quarts of water. How many more cups of water does Maria have than Josh?

andriy [413]

Answer: Maria has 16 more cups of water than Josh

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Suppose that W1, W2, and W3 are independent uniform random variables with the following distributions: Wi ~ Uni(0,10*i). What is

nadya68 [22]

I'll leave the computation via R to you. The $W_i$ are distributed uniformly on the intervals $[0,10i]$ , so that

$f_{W_i}(w)=\begin{cases}\dfrac1{10i}&\text{for }0\le w\le10i\\\\0&\text{otherwise}\end{cases}$

each with mean/expectation

$E[W_i]=\displaystyle\int_{-\infty}^\infty wf_{W_i}(w)\,\mathrm dw=\int_0^{10i}\frac w{10i}\,\mathrm dw=5i$

and variance

$\mathrm{Var}[W_i]=E[(W_i-E[W_i])^2]=E[{W_i}^2]-E[W_i]^2$

We have

$E[{W_i}^2]=\displaystyle\int_{-\infty}^\infty w^2f_{W_i}(w)\,\mathrm dw=\int_0^{10i}\frac{w^2}{10i}\,\mathrm dw=\frac{100i^2}3$

so that

$\mathrm{Var}[W_i]=\dfrac{25i^2}3$

Now,

$E[W_1+W_2+W_3]=E[W_1]+E[W_2]+E[W_3]=5+10+15=30$

and

$\mathrm{Var}[W_1+W_2+W_3]=E\left[\big((W_1+W_2+W_3)-E[W_1+W_2+W_3]\big)^2\right]$

$\mathrm{Var}[W_1+W_2+W_3]=E[(W_1+W_2+W_3)^2]-E[W_1+W_2+W_3]^2$

We have

$(W_1+W_2+W_3)^2={W_1}^2+{W_2}^2+{W_3}^2+2(W_1W_2+W_1W_3+W_2W_3)$

$E[(W_1+W_2+W_3)^2]$

$=E[{W_1}^2]+E[{W_2}^2]+E[{W_3}^2]+2(E[W_1]E[W_2]+E[W_1]E[W_3]+E[W_2]E[W_3])$

because $W_i$ and $W_j$ are independent when $i\neq j$ , and so

$E[(W_1+W_2+W_3)^2]=\dfrac{100}3+\dfrac{400}3+300+2(50+75+150)=\dfrac{3050}3$

giving a variance of

$\mathrm{Var}[W_1+W_2+W_3]=\dfrac{3050}3-30^2=\dfrac{350}3$

and so the standard deviation is $\sqrt{\dfrac{350}3}\approx\boxed{116.67}$

# # #

A faster way, assuming you know the variance of a linear combination of independent random variables, is to compute

$\mathrm{Var}[W_1+W_2+W_3]$

$=\mathrm{Var}[W_1]+\mathrm{Var}[W_2]+\mathrm{Var}[W_3]+2(\mathrm{Cov}[W_1,W_2]+\mathrm{Cov}[W_1,W_3]+\mathrm{Cov}[W_2,W_3])$

and since the $W_i$ are independent, each covariance is 0. Then

$\mathrm{Var}[W_1+W_2+W_3]=\mathrm{Var}[W_1]+\mathrm{Var}[W_2]+\mathrm{Var}[W_3]$

$\mathrm{Var}[W_1+W_2+W_3]=\dfrac{25}3+\dfrac{100}3+75=\dfrac{350}3$

and take the square root to get the standard deviation.

8 0

3 years ago

What is the complete factorization of the polynomial below? x3 +4x2 + 16x + 64

mash [69]

Answer: (x+4)(x^2+16)

Step-by-step explanation:

x^3+4x^2+16x+64

=(x+4)(x^2+16)

have a nice day!!

4 0

3 years ago

12.75 x 2 plus 13 x 3 plus 13.25 x 4 plus 13.5 x 3 PLEASE HELPPP QWICKKKK

Leona [35]

Answer:

158

Step-by-step explanation:

4 0

2 years ago

Braden is hiking on a mountain. At 11:00 a.M., he is at an elevation of 500 feet. At 2:00 p.M., he is at 900 feet. What is the r

kramer

Answer:

133.33ft/hr

Step-by-step explanation:

Between 11am and 2pm, he had 3hrs

Height change 900 - 500 = 400ft

400/3 = 133.33ft/hr

3 0

3 years ago