Answer:
a) 229 and 305 days
b) 229 days or less
c) 305 days or more
Step-by-step explanation:
The Empirical Rule(68-95-99.7 rule) states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 267
Standard deviation = 19
(a) Between what values do the lengths of the middle 95% of all pregnancies fall?_____________and___________days
By the Empirical rule, 95% of all pregnancies fall within 2 standard deviations of the mean.
So
267 - 2*19 = 229 days
to
267 + 2*19 = 305 days
(b) How short are the shortest 2.5% of all pregnancies?______days or less
95% of all pregnancies fall within 2 standard deviations of the mean. The other 5% are more than 2 standard deviations from the mean. Since the distribution is symmetric, 2.5% is more than 2 standard deviations below the mean(shortest 2.5%) and 2.5% is more than 2 standard deviations above the mean(longest 2.5%). So
267 - 2*19 = 229 days
c) How long do the longest 2.5% of pregnancies last?________days or more
Explanation in b)
267 + 2*19 = 305 days
Answer:
surplus of 150$
Step-by-step explanation:
1853.68 + 178. times .249 = ......................owed at the end of the month
1450 +600 + 340 = $2390. * 12= $28 680. annually
..
30480 - 28680 = $1800. surplus at the end of the year divided by 12 = $150.00 monthly surplus
Answer:
Step-by-step explanation:
The initial price of the swimsuit that Karla purchased at Amazon was 75.5
she use the coupon code to receive a 25% discount. This means that the value if the discount would be
25/100 × 75.5 = 0.25× 75.5 = 18.86
Therefore, the discounted price of the swimsuit is 75.5 - 18.875 = 56.625
The website applied a 10% service fee for the discount price. This means that the value of the service fee would be
10/100 × 56.625 = 0.1 × 56.625 = 5.6625.
The amount that Karla pays for the swimsuit would be
56.625 + 5.6625 = 62.2875
The difference between the original price and the price that Karla paid would be 75.5 - 62.2875 = 13.2125
The percentage by which the amount that Karla paid was lesser than the original price would be
13.2125/ 75.5 × 100 = 17.5%
Answer:
9:45 am
Step-by-step explanation:
Hope this helps!
