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Natali [406]
3 years ago
7

Tracy's retirement party costs $25 ,plus an additional $1 for each guest she invites. What is the maximum number of guests there

can be if Tracy can afford to spend a total of $37 on her retirement party?
Mathematics
1 answer:
Lorico [155]3 years ago
6 0

Answer:12 guest

Step-by-step explanation:

It cost $25, plus an additional $1 per guest. She wants to spend $37 on everything.

Let work this out:

37-25=12

She can invite 12 guest and meet her budget of $37.

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I'll give brainliest!!! please help!
tester [92]

Answer:

Puritans believed that people (children in particular) were inherently bad (sinners) and had to learn to behave. Salvation lay in learning to check one's natural instincts and behave as an adult.

3 0
3 years ago
CNNBC recently reported that the mean annual cost of auto insurance is 965 dollars. Assume the standard deviation is 113 dollars
velikii [3]

Answer:

P(939.6 < X < 972.5) = 0.6469

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 normal distributions 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.

Central Limit Theorem

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

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

CNNBC recently reported that the mean annual cost of auto insurance is 965 dollars. Assume the standard deviation is 113 dollars.

This means that \mu = 965, \sigma = 113

Sample of 57:

This means that n = 57, s = \frac{113}{\sqrt{57}} = 14.97

Find the probability that a single randomly selected policy has a mean value between 939.6 and 972.5 dollars.

This is the pvalue of Z when X = 972.5 subtracted by the pvalue of Z when X = 939.6. So

X = 972.5

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

By the Central Limit Theorem

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

Z = \frac{972.5 - 965}{14.97}

Z = 0.5

Z = 0.5 has a pvalue of 0.6915

X = 939.6

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

Z = \frac{939.6 - 965}{14.97}

Z = -1.7

Z = -1.7 has a pvalue of 0.0446

0.6915 - 0.0446 = 0.6469

So

P(939.6 < X < 972.5) = 0.6469

3 0
2 years ago
What is 18/90 is simplest form
Tomtit [17]
18/90 in simplest form is 1/5


18 and 90 are both divisible by 9 


18 = 2 

90 = 10 



2 and 10 are divisible by 2 


2 = 1


10 = 5


18/90 = 1/5
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3 years ago
In the parallelogram, find y.
harkovskaia [24]

Answer:

y = 9

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8 0
2 years ago
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If the suspect is found guilty, then he will go to prison.
Marrrta [24]

Answer:

If the suspect goes to prison, then he was found guilty.

Step-by-step explanation:

Means the same thing. If you guilty, you get the jail time. Same thing as before. The only other one it could be is the first one. But you could argue that one.

4 0
3 years ago
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