1.a sphere with a radius of three units
By definition, the volume of a sphere is:

Substituting values we have:

Rewriting we have:
2.a cone with a diameter of twelve units and a height of three units
By definition, the volume of a cone is given by:

Substituting values we have:

Rewriting we have:
5
...........................
X = 360 - (122+58+58)
x = 360 - 238
x = 122
Answer:
Type I error.
Step-by-step explanation:
Let's remember the definition of Type I error and Type II error:
A type I error is the rejection of a true null hypothesis, this means that we would get a "false positive" with this error.
A type II error is the non rejection of a not true null hypothesis, this error would give us a "false negative".
In this problem, we are told that the mean match score to identify a suspect is 80. However, the test shows that the mean match score is more than 80 when the person doesn't have a fingerprint match (and therefore the person would not be a suspect). Therefore, this person would appear as a suspect when he/she really isn't one. This means that the test is giving a "false positive". Thus, this is a type I error.
Answer:
7
Step-by-step explanation:
Substitute x = -4 :
f(-4) = 3 - (-4)
= 3 + 4
= 7