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SOVA2 [1]
2 years ago
5

Let x be the amount of time (in hours) the wait is to get a table at a restaurant. Suppose the cdf is represented by f(x)=⎧⎩⎨⎪⎪⎪

⎪0x2161x<00≤x≤4x>4 use the cdf to determine σx
Mathematics
1 answer:
sattari [20]2 years ago
4 0

Option a is correct. The calculated answer is 0.150

<h3>How to get the value using the cdf</h3>

In order to get  P(0.5 ≤ X ≤ 1.5).

This can be rewritten as

p = 0.5

and P = 1.5

We have the equation as

\frac{1}{16} x^{2}

This would be written as

1.5²/16 - 0.5²/16

= 0.1406 - 0.015625

= 0.124975

This is approximately 0.1250

Read more on cdf here:

brainly.com/question/19884447

#SPJ1

<h3>complete question</h3>

Use the cdf to determine P(0.5 ≤ X ≤ 1.5).

a) 0.1250

b) 0.0339

c) 0.1406

d) 0.0677

e) 0.8750

f) None of the above

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Answer :

The amount after 1000 years will be, 5.19 grams.

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Step-by-step explanation :

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k=\frac{0.693}{t_{1/2}}

k=\frac{0.693}{1599\text{ years}}

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t=\frac{2.303}{k}\log\frac{a}{a-x}

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Now put all the given values in above equation, we get

1000=\frac{2.303}{4.33\times 10^{-4}}\log\frac{8}{a-x}

a-x=5.19g

Thus, the amount after 1000 years will be, 5.19 grams.

Now we have to calculate the amount after 10000 years.

Expression for rate law for first order kinetics is given by:

t=\frac{2.303}{k}\log\frac{a}{a-x}

where,

k = rate constant  = 4.33\times 10^{-4}\text{ years}^{-1}

t = time passed by the sample  = 10000 years

a = initial amount of the reactant  = 8 g

a - x = amount left after decay process = ?

Now put all the given values in above equation, we get

10000=\frac{2.303}{4.33\times 10^{-4}}\log\frac{8}{a-x}

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4 0
4 years ago
Erin opened a savings account that earns 3% simple interest. If she deposits $2,750 and doesn't make any additional deposits or
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