A plan to expand megans room will make the length 140% what will be the new length of the room?
1 answer:
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Answer:
Step-by-step explanation:
2) r = 16/2 = 8 cm
Area of top and bottom = 2*πr²
= 2 * 3.14 * 8 * 8
= 401.92 cm²
Midlle part = h * πd
= 6 * 3.14 * 16
= 301.44 cm²
Total = 401.92 + 301.44
= 703.36 cm²
3) Area of front and back =
Area of bottom = length * breadth
= 12* 3
= 36 cm²
Area of left = 12 * 4
= 48 cm²
Area of right = 12 * 5 = 60 cm²
Total = 12 + 36 + 48 + 60 = 156cm²
Answer:
a) 3354 seconds
b) 6294 seconds
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
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.
(a) The cutoff time for the fastest 5% of athletes in the men's group, i.e. those who took the shortest 5% of time to finish.
The cutoff for the shortest 5% is the 5th percentile, which is X when Z has a pvalue of 0.05. So X when Z = -1.645.
Cutoff of 3354 seconds.
(b) The cutoff time for the slowest 10% of athletes in the women's group.
The slowest 10% is the 10% that takes more time, so the cutoff is the 100 - 10 = 90th percentile, which is X when Z has a pvalue of 0.9. So X when Z = 1.28.
Cutoff time of 6294 seconds