Answer:
2.5% of IQ scores are no more than 65
Step-by-step explanation:
The Empirical 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 = 95
Standard deviation = 15
Using the empirical rule, what percentage of IQ scores are no more than 65?
65 = 95 - 2*15
So 65 is two standard deviations below the mean.
By the Empirical Rule, 95% of the measures are within 2 standard deviation of the mean. Of those 5% which are not, 2.5% are more than 2 standard deviations above the mean and 2.5% are more than 2 standard deviations below the mean.
So 2.5% of IQ scores are no more than 65
Answer:
33
Step-by-step explanation:
Assume that each cell on the grid represents one unit. One can use the formula, (
) to find the area of the triangle. One can see that the base of the triangle is, (11), and the height is (6). Substitute in the given values and solve for the area,



Inside the root is 50-1
50-1 = 49
You would remain with root 49 but, if you calculate the square root the answer would be 7 because...
7•7 = 49
^ So, the answer is 7
Answer:
99% confidence interval estimate of the mean weight time for a population with drug treatments
(79.11 , 112.69)
Step-by-step explanation:
<u><em>Step(i):</em></u>-
Given data mean of the Population = 104 minutes
Given sample size 'n' =14
Mean of the sample(x⁻) = 95.9 minutes
Given Standard deviation = 24.4 minutes
<u><em>Step(ii)</em></u>:-
99% confidence interval estimate of the mean weight time for a population is determined by


On calculation , we get
(95.9 -16.79 , 95.9 +16.79)
(79.11 , 112.69)
<u><em>Conclusion:</em></u>-
99% confidence interval estimate of the mean weight time for a population with drug treatments
(79.11 , 112.69)
2.75 cups were in the punch bowl before felicia refilled it .
<u>Step-by-step explanation:</u>
Here we have , the punch bowl at felicia's party is getting low so she adds 12 cups of punch to the bowl two guests serve themselves 1.25 cups and 2 cups and 2 cups of punch the punch bowl now contains 11.5 cups of punch . We need to find how many cups were in the punch bowl before felicia refilled it let n=number of cups bowl before felicia refilled it. Let's find out:
Initially we have , n number of cups of punch ! Than 12 additional cups were added , given below is the equation framed for the number of cups present:
⇒ 
Now , After this 1.25 and 2 cups were served by guests themselves and remaining cups were 11.5 i.e.
⇒ 
⇒ 
Equating both we get :
⇒ 
⇒ 
⇒ 
Therefore , 2.75 cups were in the punch bowl before felicia refilled it .