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Marrrta [24]
2 years ago
13

Can someone solve numbers 3 and 4, and show your work plz

Mathematics
1 answer:
eduard2 years ago
8 0

3 would turn into

<u>b= b^(6+8)</u>

b= ^(3+4)

b^14/b^7 or 1/2

4 would be

a^(14+10)  /  a(5+7)  

a^24  / a^12    or 1/2


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The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 30,393 miles, with a standard
Pie

Answer:

52.84% probability that the sample mean would differ from the population mean by less than 339 miles in a sample of 37 tires if the manager is correct

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 = 30393, \sigma = 2876, n = 37, s = \frac{2876}{\sqrt{37}} = 472.81

What is the probability that the sample mean would differ from the population mean by less than 339 miles in a sample of 37 tires if the manager is correct

This probability is the pvalue of Z when X = 30393 + 339 = 30732 subtracted by the pvalue of Z when X = 30393 - 339 = 30054. So

X = 30732

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

By the Central Limit Theorem

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

Z = \frac{30732 - 30393}{472.81}

Z = 0.72

Z = 0.72 has a pvalue of 0.7642.

X = 30054

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

Z = \frac{30054 - 30393}{472.81}

Z = -0.72

Z = -0.72 has a pvalue of 0.2358

0.7642 - 0.2358 = 0.5284

52.84% probability that the sample mean would differ from the population mean by less than 339 miles in a sample of 37 tires if the manager is correct

4 0
3 years ago
Vern has just opened a flower shop. Because of the startup costs, for the next month his net earnings for each bouquet are −$2.5
Basile [38]

Answer:

-$200

Step-by-step explanation:

Given that:

Net earning per bouquet for the month= - $2.50

On a particular day of the month, 20 bouquet was sold ;

Net earning for the day:

Net earning per bouquet * number of bouquet

-$2.50 * 80

= $200

Hence, net earning for Tuesday = - $200

6 0
3 years ago
What is 2/3 + 3/4 I don’t understand it at all
victus00 [196]

Answer:

6/12 or half

Step-by-step explanation:

this would be the answer because the lowest common denominator of 4 and 3 is 12 so you'd multiply them you'd get 12 then multiply 2 and 3 and get six therfore the answer is 6/12 or 1/2

6 0
3 years ago
Read 2 more answers
You are comparing to wireless services. Verizon changes $35 a month and $5 per gigabyte of data.
ikadub [295]
A) Gigabytes = x
B) 35+5x = 25+10x
10 = 5x
2 = x
C) After 2 gigabytes, the wireless services will cost the same ($45)
7 0
3 years ago
A coupon subtracts 5.16 from the price p of a shirt. you pay 15.48 for the shirt after using the coupon. write and solve an eqau
DochEvi [55]
15.48 + 5.16 = p because you have to do the reverse. to find "p" you have to add the amount you subtracted.
7 0
3 years ago
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