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3 years ago

A centimeter is __________ meter(s). Question 1 options: 1000 100 1/100th 1/1000th

Mathematics

2 answers:

Eddi Din [679]3 years ago

5 0

1/100 because one centimeter is equal to 0.01 meters. 0.01 is equal to 1/100. Hope this helps!

Radda [10]3 years ago

5 0

Because there are 100 centimeters in 1 meter, a centimeter is 1/100th of a meter.

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A casino offers a game in which a player places a $3 bet on a 3 coming up on one roll of a six-sided die. If a 3 is rolled, the

Veseljchak [2.6K]

Answer:

Expected Value = -1$

Step-by-step explanation:

Expected Value: So, expected value is the very important concept of probability, from insurance to governments, from casinos to lotteries the concept of expected value is used. It is basically the expected gain or loss when you perform the task repeatedly.

So here’s the question statement:

Bet = 3$

Bet is on: Number 3 of a 6 faced dice.

Total numbers on dice = 6 = Total number of outcomes

Bet is on how many numbers = 1 = Number of Favorable outcomes.

If you win: you will get: 12$ = 3$ (Bet amount) + 9$ (outcome)

Outcome of winning = 9$

Probability of winning = Favorable outcome divided by Total number of outcomes = 1/6 = 0.16666..

If you lose you will lose: 3$ (Bet amount)

Outcome of losing = -3$ ( - “minus” represents losing)

Probability of losing = Favorable outcome divided by Total number of outcomes = 5/6 = 0.8333…

So, expected value is calculated when you play this game repeatedly right?

Formula to calculate Expected Value:

Expected Value = (Outcome of Winning) x (Probability of Winning) + (Outcome of Losing) x (Probability of Losing)

So, we have all these variables. Now just put values into the equation of expected value.

Expected Value = (9$) x (1/6) + (-3$) x (5/6)

Expected Value = -1$

It means, every time you play the game you are expected to lose 1$.

3 0

3 years ago

The breaking strength of a cable is assumed to be lognormally distributed with a mean of 75 and standard deviation of 20. • If t

son4ous [18]

Answer:

If the load of magnitude 50 is hung from the cable, determine the probability of failure of the cable?

There is a 10.56% probability of failure of the cable.

If the load can take values 30, 50, and 70 with probabilities 0.2, 0.35, and 0.45 respectively, determine the probability of failure of the cable?

There is a 15.87% probability of failure of the cable.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

The breaking strength of a cable is assumed to be lognormally distributed with a mean of 75 and standard deviation of 20. This means that $\mu = 75, \sigma = 20$ .

If the load of magnitude 50 is hung from the cable, determine the probability of failure of the cable?

This is the pvalue of Z when $X = 50$ .

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

$Z = \frac{50 - 75}{20}$

$Z = -1.25$

$Z = -1.25$ has a pvalue of 0.1056.

There is a 10.56% probability of failure of the cable.

If the load can take values 30, 50, and 70 with probabilities 0.2, 0.35, and 0.45 respectively, determine the probability of failure of the cable?

Now we have that

$X = 0.2(30) + 0.35(50) + 0.45(70) = 55$