Answer:
Let's use the formula for the volume of a rectangular prism;
V = l · w · h
Where 'l' represents the length, 'w' stands for the width, and 'h' displays as the height. (V evidently stands for the volume)
<u>What we know:</u>
- Volume = 240 ft
- Length = 4 ft
<u>What we need to find out:</u>
Let's plug in what we know into the formula:
V = l · w · h
<u>240</u> = <u>4</u> · <u>4</u> · h
Now let's solve for h:-
240 = 16 · h
240 = 16h
Get rid of h's co-efficient by dividing 16 from both sides because the inverse operation of multiplication(since 16 is being multiplied by h) is division.
÷16 ÷16
Finally, you would end up with a result of:
<u>15</u> = h
Hence, the height of this prism is <u>15 feet</u>.
1 ft = 12 in
192/12 = 16
16 ft = 192 in
Answer:
A milestone occurring in 3 years of increments of time will be the farthest to the right on a timeline.
Step-by-step explanation:
Here in the given options the increments of time are given.
Here, 3 years > 8 months > 12 weeks > 60 days.
Because, 3 years ≡ (3 × 365) days ≡ 1095 days
8 months ≡ (8 × 30) days ≡ 240 days
12 weeks ≡ (12 × 7) days ≡ 84 days.
Therefore, a milestone occurring in 3 years of increments of time will be the farthest to the right on a timeline. (Answer)
Answer:
A) P(Type I error) = 0.045
B) P(Type II) error = 0.1
Step-by-step explanation:
We are told that the reliability of the test is 90% reliable.
Also, we are told that the probability that the test erroneously detects a lie even when the individual is actually telling the truth is 0.045.
Thus;
A) To calculate the probability of type I error:
From statistics, in this question we can say that the probability of a type I error is the probability that the test will erroneously detect a lie even though the individual is actually telling the truth. Thus;
Probability of (type I error) = P(rejecting true null) = 0.045
B) For probability of type II error, it is defined as the error where we accept a null hypothesis that is false. We can say that it produces a false negative and the formula is;
P(Type II) error = 1 - reliability
Reliability in the question is 0.90
Thus;
P(Type II) error = 1 - 0.9
P(Type II) error = 0.1
Answer:
( x-2)^2 + ( y+1) ^2 = 25
Step-by-step explanation:
The equation of a circle is
( x-h)^2 + ( y-k) ^2 = r^2 where ( h,k) is the center and r is the radius
The center is ( 2,-1) and the radius is the difference from the center to a point on the circle
(2,4) and (2,-1)
since x is the same the radius is (4- -1) = 5
( x-2)^2 + ( y--1) ^2 = 5^2
( x-2)^2 + ( y+1) ^2 = 25
