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cupoosta [38]
3 years ago
12

You have a bag of 42 candies you want to give to your 6 friends. the company that makes the candies guarantees that exactly 6 of

the candies in the bag are red, the most delicious color. anyone who doesn't get a red candy will be so upset that they will stop being your friend! but the candies are in identical wrappings, so you are forced to give each friend 7 candies and hope for the best. what's the probability you lose one or more friends?
Mathematics
1 answer:
emmasim [6.3K]3 years ago
3 0
The possibility is 6 out of 42
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Pls help i’m desperate
AlexFokin [52]

I'm not 100% but I got x=-3/2

3 0
2 years ago
The mean cost of a five pound bag of shrimp is 50 dollars with a variance of 64. If a sample of 43 bags of shrimp is randomly se
anyanavicka [17]

Answer:

0.4122 = 41.22% probability that the sample mean would differ from the true mean by greater than 1 dollar

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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

In a set with mean \mu and standard deviation(which is the square root of the variance) \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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 50, \sigma = \sqrt{64} = 8, n = 43, s = \frac{8}{\sqrt{43}} = 1.22

What is the probability that the sample mean would differ from the true mean by greater than 1 dollar?

Either it differs by 1 dollar or less, or it differs by more than one dollar. The sum of the probabilities of these events is decimal 1.

Probability it differs by 1 dollar or less:

pvalue of Z when X = 50+1 = 51 subtracted by the pvalue of Z when X = 50 - 1 = 49.

X = 51

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

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{51-50}{1.22}

Z = 0.82

Z = 0.82 has a pvalue of 0.7939

X = 49

Z = \frac{X - \mu}{s}

Z = \frac{49-50}{1.22}

Z = -0.82

Z = -0.82 has a pvalue of 0.2061

0.7939 - 0.2061 = 0.5878

Probability it differs by more than 1 dollar:

p + 0.5878 = 1

p = 0.4122

0.4122 = 41.22% probability that the sample mean would differ from the true mean by greater than 1 dollar

4 0
3 years ago
Grace bought a television for $329 and some DVDs for $5.75 each. Write and equations to find out how many DVDs grace bought if s
marishachu [46]

The total number of DVDs that she bough is 6

<h3>Linear equations</h3>

Linear equation are expression that has a leading degree of 1.

Let the price of each DVD be x such that if Grace bought a television for $329 and some DVDs for $5.75 each  and spent a total of $363.50, ten;

329 + 5.75x = 363.5

Subtract 329 from both sides

329 + 5.75x - 329 = 363.5 - 329

5.75x = 34.5

x = 34.5/5.75

x = 6

This shows that the total number of DVDs that she bough is 6

Learn more on linear equation here: brainly.com/question/2030026

#SPJ1

3 0
1 year ago
Three swimmers competed in a 50 m freestyle race. A description of their swimming speeds is given. Order the swimmers from first
alexandr1967 [171]

Answer:

terrance then mike then nathan

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
If you assume that there are exactly 365 days in a year, how many seconds are there in one year? Give your answer to the nearest
Elena L [17]

Answer:

  31,536,000

Step-by-step explanation:

There are 3600 seconds in an hour and 24 hours in a day, so ...

 (3600 s/h)(24 h/da) = 86400 s/da

Then in 365 days, there are ...

  (365 da)(86400 s/da) = 31,536,000 s

_____

No rounding is needed.

5 0
3 years ago
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