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Ket [755]
3 years ago
8

A quote website includes a "Surprise me!" button that randomly selects a quote from its database. For every 4 quotes in the data

base, 3 of them are from dead people. Let Q be the number of quotes a user requests using the "Surprise me!" button until the quote is by a living person. What is the mean and stan dev
Mathematics
1 answer:
Damm [24]3 years ago
8 0

Answer: 4 quotes

3.5 quotes

Step-by-step explanation:

Khan

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Got a calc 1 question,
belka [17]

v=\dfrac h{3x}\implies\dfrac{\mathrm dv}{\mathrm dt}=\dfrac{3x\frac{\mathrm dh}{\mathrm dt}-3h\frac{\mathrm dx}{\mathrm dt}}{3x^2}

By the chain rule,

\dfrac{\mathrm dh}{\mathrm dt}=\dfrac{\mathrm dh}{\mathrm dx}\dfrac{\mathrm dx}{\mathrm dt}

We have

h(x)=4e^{2x-6}-x^2+5\implies\dfrac{\mathrm dh}{\mathrm dx}=8e^{2x-6}-2x

and we're given that x changes at a constant rate of \frac{\mathrm dx}{\mathrm dt}=0.2 thousand people per minute, which means

\dfrac{\mathrm dv}{\mathrm dt}=\dfrac{3x\left(8e^{2x-6}-2x\right)\left(0.2\frac{\text{thousand people}}{\rm min}\right)-3h\left(0.2\frac{\text{thousand people}}{\rm min}\right)}{3x^2}

At the moment x=4 thousand people are in the park, we have h(4)=4e^2-11, so we find

\dfrac{\mathrm dv}{\mathrm dt}=\dfrac{12\left(8e^2-8\right)-3(4e^2-11)}{240}\dfrac{\text{thousand people}}{\rm min}=\dfrac{7(4e^2-3)}{80}\dfrac{\text{thousand people}}{\rm min}

or approximately 2.324 thousand people per minute.

5 0
4 years ago
HELP PLEASE
ohaa [14]

Answer:

Step-by-step explanation:

\tan x=\frac{8}{15}\\x=\tan^{-1} \left(\frac{8}{15} \right) \approx \boxed{28.07^{\circ}}

7 0
2 years ago
A baker made 40 loaves of wheat bread In all 160 loaves of bread were made what percent of the loaves of bread made was wheat br
Pepsi [2]
25% of the loaves of bread made were wheat bread. 40 x 4 = 160.

40 is 1/4 of 160/ 1/4 is the same as 25%
8 0
4 years ago
A commercial property purchased for 1.2 million is revalued at 995,000. Calculate the percentage decrease in the property’s valu
soldi70 [24.7K]

Answer:

17%

Step-by-step explanation:

First: work out the difference (decrease) between the two numbers you are comparing. Then: divide the decrease by the original number and multiply the answer by 100.

First:

1,200,000 - 995,000 = 205,000

Then:

205,000 / 1,200,000 = 0.17

0.17 × 100% = 17%

4 0
4 years ago
Read 2 more answers
Algebra 1 homework <br><br> Helpppp
Igoryamba

Answer: It should actually be 9b6/a4c6

Step-by-step explanation: bc ur simplifying the equation.

4 0
3 years ago
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