Answer:
the answer is D. 40
Step-by-step explanation:
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:
Year - (1993 - 1995)
Step-by-step explanation:
Rate of change in the number of toys sold = 
In the interval (1990 - 1993),
Rate of change in number of toys sold = 
= 
= 4000
In the interval (1993 - 1995),
Rate of change = 
= 
= 5000
In the interval (2000 - 1995),
Rate of change = 
= 
= 3000
In the interval (2006 - 2000),
Rate of change = 
= 
= 1000
Therefore, rate of change in the number of toys sold is greatest in the interval (1993 - 1995).
Answer:
D) 84.8
Step-by-step explanation:
Answer:
Step-by-step explanation:
There is no such thing as the inverse Law of Cosines. You CAN use the law to find a missing angle, which is found by finding the inverse cos of a ratio. For example, if you have all 3 sides of a non-right triangle and you are looking for the measure of an angle, you would do all the required math, and in the end you would have that cos(x) = some fraction. Take the inverse cos on your calculator of this fraction and get the angle value.
In other words, the Law of cosines can be used to find both a missing side OR a missing angle.
