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ValentinkaMS [17]
3 years ago
8

J'Neices cell phone plan is $79 per month for unlimited calling plus 1000 text messages. Text messages over 1000 cost $0.15 each

. Unfortunately, she last month, she texted 2100 times. What is her total phone bill? Select one: a. $79 b. $315 c. $244 d. $165
Mathematics
1 answer:
BaLLatris [955]3 years ago
7 0

Answer:

C. 244

Step-by-step explanation:

It costs 79 dollars a month = 79x

It costs 0.15 dollars for every text message over 1000 = 0.15y

The equation is:

79x + 0.15y = z

X = months

Y =  Each text message over 1000

Z = the total amount spent

Let's plug in our values

79(1) + 0.15(1100) = z

79 * 1 = 79

0.15 * 1100 = 165

79 + 165 = z

79 + 165 = 244

z = 244

C. 244

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Zoey inflated 24 balloons for the high school dance. If Zoey inflated 15% of the total number of balloons at the dance, how many
Eva8 [605]

Answer:

Total number of balloons= 160

Step-by-step explanation:

Giving the following information:

Number of balloons inflated by Zoey= 24

Proportion of balloons inflated= 15%

<u>To calculate the total number of balloons, we need to use the following formula:</u>

Total number of balloons = Number of balloons inflated by Zoey / Proportion of ballons inflated

Total number of balloons= 24 / 0.15

Total number of balloons= 160

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2 years ago
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3 0
3 years ago
The amount people pay for cable service varies quite a bit but the mean monthly fee is $142 and the standard deviation is $29. t
zhuklara [117]

Answer:

a) By the Central Limit Theorem, the mean is $142 and the standard deviation is $0.7488.

b) By the Central Limit Theorem, approximately normal.

c) 0.0901 = 9.01% probability that the average cable service paid by the sample of cable service customers will exceed $143

Step-by-step explanation:

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

Normal probability distribution

When the distribution is normal, we use 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.

The mean monthly fee is $142 and the standard deviation is $29.

This means that \mu = 142, \sigma = 29

Part a: what are the mean an standard deviation of the sample distribution of x hat show your work and justify your reasoning.

Sample of 1500(larger than 30).

By the Central Limit Theorem

The mean is $142

The standard deviation is s = \frac{29}{\sqrt{1500}} = 0.7488

Part b: what is the shape of the sampling distribution of x hat justify your answer.

By the Central Limit Theorem, approximately normal.

Part C: what is the probability that the average cable service paid by the sample of cable service customers will exceed $143?

This is 1 subtracted by the pvalue of Z when X = 143. So

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

By the Central Limit Theorem

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

Z = \frac{143 - 142}{0.7488}

Z = 1.34

Z = 1.34 has a pvalue of 0.9099

1 - 0.9099 = 0.0901

0.0901 = 9.01% probability that the average cable service paid by the sample of cable service customers will exceed $143

4 0
3 years ago
39 s 150% of what number?
professor190 [17]

Answer:

26

Hope this helps!

6 0
2 years ago
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