B) Quality B is greater
C) The two quantities are equal
(2x²−3x+4) ( x²+5x−7)
Answer:
0.9533
Step-by-step explanation:
(a) Probability that a randomly selected woman's height is less than 65 inches:
Using the z-score formula:
�
=
�
−
�
�
Z=
σ
X−μ
Where:
�
X = 65 inches
�
μ = 64.3 inches
�
σ = 2.7 inches
�
=
65
−
64.3
2.7
≈
0.2593
Z=
2.7
65−64.3
≈0.2593
Now, find the probability associated with this z-score, which is approximately 0.6010 (rounded to four decimal places).
(b) Probability that the mean height of 43 randomly selected women is less than 65 inches:
Using the Central Limit Theorem:
�
μ (mean of the sample means) remains 64.3 inches.
�
sample mean
σ
sample mean
(standard deviation of the sample means) is calculated as
2.7
43
≈
0.4115
43
2.7
≈0.4115.
Now, find the z-score for a sample mean of 65 inches:
�
=
65
−
64.3
0.4115
≈
1.6924
Z=
0.4115
65−64.3
≈1.6924
The probability associated with this z-score is approximately 0.9533 (rounded to four decimal places).
Answer:
She will run a distance of 1095.78 miles per year.
Explanation:
Number of days in a year = 365.25
Number of days in a week = 7
Number of weeks in a year = 365.25/7 = 52.18 weeks.
Tomika plans to run 84 miles in 4 weeks.
Distance run by Tomika in 1 week = 84/4 = 21 miles.
Distance run by Tomika in 1 year = 21*52.18 = 1095.78 miles
So she will run a distance of 1095.78 miles per year.
If Tomika continues the pattern, she will run approximately 1,092 miles in a year.
There are 52 weeks in a year, so you can divide 52 by 4 to find out how many 4-week periods there are in a year:
Number of 4-week periods in a year = 52 weeks / 4 weeks/period = 13 periods
Now, multiply the miles she runs in each 4-week period (84 miles) by the number of 4-week periods in a year (13 periods):
Total miles in a year = 84 miles/period × 13 periods
Total miles in a year = 1,092 miles
So, if Tomika continues the pattern, she will run approximately 1,092 miles in a year.
Read more on pattern here brainly.com/question/28580633
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