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:
D. (0, 2)
Step-by-step explanation:
The vertex of the parent function, |x|, is (0, 0). Adding 2 translates it upward two units to (0, 2).
Answer:Red price hast he least least cost per gram of apple.
Step-by-step explanation:
1) considering Royal Gala, 75 gram apple cost $0.41
The cost per gram is 0.41/75 = $0.0055
2) considering Honey crisp, 93 gram apple cost $0.82
The cost per gram is 0.82/93 = $0.0088
3) considering Red Prince, 81 gram apple cost $0.36
The cost per gram is 0.36/81 = $0.0044
Since $0.0044 per gram is the lowest of the three, then the type of apple with the least cost per gram is Red prince.
Answer:
1032 miles
Step-by-step explanation:
We have : 5103 - 4071 = 1032(miles)
So he drove more 1032 miles this year than last year
