Answer:
BC = 10.24
Step-by-step explanation:
You can use the Pythagoras theorem for this question
+ =
a = 8cm
b = ???
c = 13cm
We will solve for B (length BC)
+ =
+ =
Rearrange for b
= -
= 105
b =
b = 10.24
Answer: (3.3, 3.5)
Step-by-step explanation:
The formula to calculate the confidence interval is given by :-
, where = sample mean.
z* = critical value.
= Population standard deviation.
n= Sample size.
As per given , we have
n= 217
By using z-table , the critical value for 95% confidence level : z* = 1.96
Now, the 95% confidence interval for the mean consumption of meat among males over age 50 will be :
Hence, the 95% confidence interval for the mean consumption of meat among males over age 50 =(3.3, 3.5)
Answer: Doctor A: 751.6 Doctor B: 755.2 Doctor B has an average of 3.6 more patients wearing corrective lenses than Doctor A.
Step-by-step explanation:
To find the mean for corrective lenses, add up all of the numbers and divide by the number of data points.
Doctor A's mean:
Add up the data points: 745+726+769+765+756+742+747+748+770+738 = 7516. Count the number of data points to get 10. Divide 7516 by 10. 7516/10 = <em>751.6</em>.
Doctor B's mean:
Add up the data points: 763+736+735+759+748+756+765+761+768+761 = 7552. Divide by 10. 7552/10 = <em>755.2</em>
Difference:
755.2-751.6 = <em>3.6</em>
Answer:
C
Step-by-step explanation:
You can't divide by 0 so c
The volume of the styrofoam collar is approximately 1,960.35
Step-by-step explanation:
Step 1:
The given styrofoam collar is a hollow cylinder. A hollow cylinder consists of an outer radius and an inner radius.
This given hollow cylinder has an outer radius of 8 inches and an inner radius of 5 inches. The height of the cylinder is 16 inches.
To calculate the volume of a hollow cylinder we subtract the volume of a cylinder constructed with the inner radius from the volume of a cylinder with the outer radius.
Step 2:
The volume of a cylinder,
For the outer cylinder, inches and inches.
The volume of the outer cylinder,
For the inner cylinder, inches and inches.
The volume of the inner cylinder,
Step 3:
The volume of the styrofoam collar
The volume of the styrofoam collar
Rounding this off, we get the volume of the styrofoam collar as 1,960.35