20 POINTS! Easy math questions, I just don't have time. ASAP PLEASE
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Answer 1
Answer: She has $317.57
He fee would be $18

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8x - 3 = 5 (2x + 1) solve for x

Write this small number in standard form. 0.00078

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Answer:

78/100000

Hope it helps you

7.8^ -4 is scientific notation

35 POINTS WILL MARK BRAINLIEST!!!
Please solve it from the picture below!!

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I believe it’s B
Good luck!!!

4 tons of cement cost $480.00. What is the price per pound?

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Answer:

$120 per pound

Step-by-step explanation:

Todd and Garrett began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Todd took a test in Math and earned a 74.6, and Garrett took a test in English and earned a 68.8. Use the fact that all the students' test grades in the Math class had a mean of 70.6 and a standard deviation of 11.9, and all the students' test grades in English had a mean of 63.7 and a standard deviation of 8.6 to answer the following questions. Required:
a. Calculate the z-score for Todd's test grade.
b. Calculate the z-score for lan's test grade.
c. Which person did relatively better?

Answers

Part A

For Todd's class, we have this given info:

  • mu = 70.6 = population mean of math scores
  • sigma = 11.9 = population standard deviation of math scores

Compute the z score for x = 74.6

z = (x-mu)/sigma

z = (74.6 - 70.6)/(11.9)

z = 0.34 approximately

Side note: Convention usually has z scores rounded to two decimal places. If your teacher instructs otherwise, then go with those instructions of course.

Answer:  0.34

======================================================

Part B

For Garret's English class, we have:

  • mu = 63.7
  • sigma = 8.6

Compute the z score for x = 68.8

z = (x-mu)/sigma

z = (68.8 - 63.7)/(8.6)

z = 0.59 approximately

Answer:  0.59

======================================================

Part C

Garret has the higher z score, which means that Garret did relatively better to his classmates compared to Todd's performance (in relation to his classmates). The z score is the distance, in units of standard deviation, the score is from the mean. Positive z values are above the mean, while negative z values are below the mean.

Answer: Garret did relatively better

What is the value of K?

Answers

The value of K is 10

A professor at a university wants to estimate the average number of hours of sleep the students get during exam week. The professor wants to find a sample mean that is within 4.266 hours of the true average for all college students at the university with 99% conconfidence. If the professor knows the standard deviation of the sleep times for all college students is 2.539, what sample size will need to be taken

Answers

Answer:

The sample size is n = 2

Step-by-step explanation:

From the question we are told that

   The margin of error is  E =4.266

    The standard deviation is  \sigma = 2.539

From the question we are told the confidence level is  99% , hence the level of significance is    

      \alpha = (100 - 99 ) \%

=>   \alpha = 0.01

Generally from the normal distribution table the critical value  of  (\alpha )/(2) is  

   Z_{(\alpha )/(2) } =  2.58

Generally the sample size is mathematically represented as  

   n = [\frac{Z_{(\alpha )/(2) } *  \sigma }{E} ] ^2

=>  n = [(2.58  *  2.539  )/(4.266) ] ^2

=>  n = 2

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