Answer:
x=49750
Step-by-step explanation:
0.1(x + 250) = 5,000
Divide each side by .1
0.1(x + 250)/.1 = 5,000/.1
x+250 =50000
Subtract 250 from each side
x+250-250 = 50000-250
x=49750
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:
n + 6 = 3n
Step-by-step explanation:
n + 6 = 3n
6 = 3n -n
6 = 2n
n = 3
We want to find 9.5% of $50.
First put 9.5% in decimal form. 9.5% = 0.095.
Then multiply 0.095 by 50. 50 * 0.095 = $4.75 fee
The money Kennedy will recieve is going to be 50 dollars minus the $4.75 fee.
50 - 4.75 = $45.25 with the fee subtracted
