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cupoosta [38]
3 years ago
14

Tyrone paid $2,800 plus 7% sales tax on mountain bikes for a bike club.How much did Tyrone pay in total for the mountain bikes?

Mathematics
1 answer:
timurjin [86]3 years ago
8 0
2800 x 0.07 = 196
2800 + 196 = 2996
Total paid = $2996
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A person runs 1 4/5 miles in 1/5 of an hour determine how many miles they are running per hour
asambeis [7]
Multiply 1 4/5 by 5
9/5 * 5/1 = 45/5 = 9 miles
8 0
3 years ago
Read 2 more answers
The mean points obtained in an aptitude examination is 159 points with a standard deviation of 13 points. What is the probabilit
Korolek [52]

Answer:

0.4514 = 45.14% probability that the mean of the sample would differ from the population mean by less than 1 point if 60 exams are sampled

Step-by-step explanation:

To solve this question, we have 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 \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, a large sample size 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 = 159, \sigma = 13, n = 60, s = \frac{13}{\sqrt{60}} = 1.68

What is the probability that the mean of the sample would differ from the population mean by less than 1 point if 60 exams are sampled?

This is the pvalue of Z when X = 159+1 = 160 subtracted by the pvalue of Z when X = 159-1 = 158. So

X = 160

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

By the Central Limit Theorem

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

Z = \frac{160 - 159}{1.68}

Z = 0.6

Z = 0.6 has a pvalue of 0.7257

X = 150

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

Z = \frac{158 - 159}{1.68}

Z = -0.6

Z = -0.6 has a pvalue of 0.2743

0.7257 - 0.2743 = 0.4514

0.4514 = 45.14% probability that the mean of the sample would differ from the population mean by less than 1 point if 60 exams are sampled

7 0
3 years ago
What is the answer to this problem -2x – 4 < 3x + 21
horsena [70]

Start with

-2x-4 < 3x+21

Add 2x to both sides:

-4 < 5x+21

Subtract 21 from both sides:

-25 < 5x

Divide both sides by 5. Since it is positive, we don't have to change the inequality sign:

-5 < x

So, the answer is x > -5


6 0
3 years ago
100 POINTS!<br> help please <br><br> which is the graph of f(x) = 3 square root x/4
AnnyKZ [126]

your answer

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3 years ago
51. q(x) = 2 * (x - 1) ^ 2 + 5 , what is the value of q(- 3) ?
Sloan [31]

Answer:

26.69

Step-by-step explanation:

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3 years ago
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