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g100num [7]
3 years ago
8

Kevin and Randy Muise have a jar containing 36 ​coins, all of which are either quarters or nickels. The total value of the coins

in the jar is ​$4.80. How many of each type of coin do they​ have?

Mathematics
1 answer:
borishaifa [10]3 years ago
6 0

Answer:

Step-by-step explanation:

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According to a study done by the Gallup organization, the proportion of Americans who are satisfied with the way things are goin
UkoKoshka [18]

Answer:

21.77% probability that the proportion who are satisfied with the way that things are going in their life exceeds 0.85

Step-by-step explanation:

Problems of normally distributed samples are 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.

For proportions p in a sample of size n, we have that \mu = p, \sigma = \sqrt{\frac{p(1 - p)}{n}}

In this problem:

\mu = 0.82, \sigma = \sqrt{\frac{0.82*0.18}{100}} = 0.0394

In a sample of 100 Americans, what is the probability that the proportion who are satisfied with the way that things are going in their life exceeds 0.85

This is 1 subtracted by the pvalue of Z when X = 0.85. So

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

Z = \frac{0.85 - 0.82}{0.0384}

Z = 0.78

Z = 0.78 has a pvalue of 0.7823

1 - 0.7823 = 0.2177

21.77% probability that the proportion who are satisfied with the way that things are going in their life exceeds 0.85

5 0
3 years ago
Which expression is equivalent to "28 divided by the difference 45 and 710"
Travka [436]
23.75 you have to subtract 45 and 710 and dived it by 28
8 0
3 years ago
Pleas answer it in two minutes
Vesna [10]

Answer:

b=69 degrees

Step-by-step explanation

Use the remote interior angle theorem which states that the sum of the two remote interior angles is equal to the exterior angle. Basically, b=(b-36)+(b-33). That will give you b=2b-69. Then b=69. There's ur answer.

8 0
3 years ago
All accountants at organizations prepare books of accounts in terms of money. Which function of money does this represent? A. me
Masja [62]

Answer:

  B. unit of account

Step-by-step explanation:

Accounts are kept in terms of units of account. Money serves as the unit of account when accounts are kept in terms of money.

6 0
3 years ago
Please help me find the values of a and b so that the system shown had the given solution
Harman [31]

You could just put 0 for a and b.

It would work.

4 0
3 years ago
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