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3 years ago

A box contains one each of $1, $5, $10, $20, and $100 bills. you reach in and withdraw one bill. what is the expected value?

1 answer:

galina1969 [7]3 years ago

4 0

The expected value is simply the average of the values of all of the bills.

The expected value is the sum of the values of each bill times the probability that that bill is drawn. 

There are 5 bills, 1, 5, 10, 20, 100. 

The probability of drawing one of the bills out of a hat is 1 out of 5, or 1/5. 

The expected value then is: 

EV = (1/5) * $1 + (1/5) * $5 +(1/5) * $10 +(1/5) * $20 +(1/5) * $100 

Rewriting, you can see that in this problem, EV is just the average of the five bill values 
EV = (1/5) * ($1 + $5 + $10 + $20 + $100) 

EV = $27.20 

Hope this helps,

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Figure LMNOPQ ≌ figure STUVWX, m∠M = 25°, m∠P = 103°, and m∠Q = 47°. What is m∠X?

Wewaii [24]

M∠X= m∠Q Therefore the m∠X= 47°

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3 years ago

Manufacture of a certain component requires three different machining operations. Machining time for each operation has a normal

tigry1 [53]

Answer:

0.0314 = 3.14% probability that it takes at most 1 hour of machining time to produce a randomly selected component

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Sum of normal variables:

When normal variables are added, the mean is the sum of the means while the standard deviation is the square root of the sum of the variances.

The mean values are 20, 15, and 30 min, respectively:

This means that $\mu = 20 + 15 + 30 = 65$

The standard deviations are 1, 2, and 1.5 min, respectively.

This means that $\sigma = \sqrt{1^2 + 2^2 + 1.5^2} = 2.6926$

What is the probability that it takes at most 1 hour of machining time to produce a randomly selected component?

Mean and standard deviation are in minutes, so this is the pvalue of Z when X = 60.

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{60 - 65}{2.6926}$

$Z = -1.86$

$Z = -1.86$ has a pvalue of 0.0314

0.0314 = 3.14% probability that it takes at most 1 hour of machining time to produce a randomly selected component

7 0

2 years ago

Write a polynomial function with zeros -3,5,8

klemol [59]

Answer:

x^3-10x^2+x+120

Step-by-step explanation:

Assuming you mean roots -3, 5, 8

These happen when we have (x+3)(x-5)(x-8)=0

Expand this

(x^2-2x-15)(x-8)=0

=x^3-2x^2-15x-8x^2+16x+120

=x^3-10x^2+x+120

3 0

3 years ago

Tell whether the given value is a solution for the inequality. Then, justify your answer.

tatuchka [14]

Answer:

x=18 is not a solution

Step-by-step explanation:

18+9=27 but this is saying it has to be less than 27 so this is not a solution

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2 years ago

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Rudik [331]

The answer is 11 because if you look at the chart. You can see everything can be divided by 8 and 88 divided by 8 is 11.

3 0

3 years ago