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defon
3 years ago
11

PLEASE HELP ME FOR 10 PTS

Mathematics
2 answers:
alex41 [277]3 years ago
5 0
1. 49 * 0.06 = $2.94

He paid $2.94 in sales tax.

2. 20 * 0.06 = $1.20, $1.20 + $20.00 = $21.20

He paid $21.20 total for the basketball (including sales tax).

 


Rina8888 [55]3 years ago
3 0
1.Zachariah paid $51.94
2. Sam paid 21.20
Im not sure tho.
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Read 2 more answers
The overhead reach distances of adult females are normally distributed with a mean of 205 cm and a standard deviation of 8.3 cm.
Gre4nikov [31]

a. Find the probability that an individual distance is greater than 214.30 cm

We find for the value of z score using the formula:

z = (x – u) / s

z = (214.30 – 205) / 8.3

z = 1.12

Since we are looking for x > 214.30 cm, we use the right tailed test to find for P at z = 1.12 from the tables:

P = 0.1314

 

b. Find the probability that the mean for 20 randomly selected distances is greater than 202.80 cm

We find for the value of z score using the formula:

z = (x – u) / s

z = (202.80 – 205) / 8.3

z = -0.265

Since we are looking for x > 202.80 cm, we use the right tailed test to find for P at z = -0.265 from the tables:

P = 0.6045

 

c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?

I believe this is because we are given the population standard deviation sigma rather than the sample standard deviation. So we can use the z test.

7 0
3 years ago
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