Answer:
The probability of the student incorrectly solves the next problem is 44%.
Step-by-step explanation:
Let E be the event of solving a problem correctly.
Then E' is the event that the problem is solved incorrectly.
Now, recall the definition of probability.
probability of an event = 
So,
p(E) = 
Also,
p(E) + p(E') = 1 and
p(E') = 1 - p(E)
= 1 - 
= 
= 
= 
= 
= 44% rounded.
Hence, the probability of the student incorrectly solves the next problem is 44%.
Given that, a sphere has a surface area of about 999 square millimeters.
Formula to find the surface area of sphere is,
S= 4πr² Where r = radius of the sphere and S= surface area.
Given S= 999 square millimeters.
So, we can write:
4πr² = 999
4 * 3.14 * r² = 999 Since, π = 3.14
12.56 *r² = 999
Divide each sides by 12.56.
r² = 79.53821656
r = √79.53821656 Taking square root to each sides of equation.
r = 8.918420071
So, r = 8.918 Rounded to nearest thousandth.
So, radius of the sphere is 8.918 millimeters.
Hope this helps you!
Answer:
The name given to the shaded region would be the positive interval because all f(x) values in that region are positive.
Exactly one activity:
246None of the activities :
1At least one activity:
74Snowboarding and Ice skating but not skiing:
5Snowboarding or ice skating but not skiing:
132.
Only skiing :
119.
The diagram is in the attachment.