The appropriate choice is ...
.. <span>A. The initial amount in the account does not change because it is a factor that is independent of both the interest rate and t.
_____
In general, each of the variables in a formula is independent of the others. (Occasionally, you'll see a formula where that is not true, but then the "variable" will likely be indicated as a function of those things it is dependent upon.)</span>
Answer:
-30
Step-by-step explanation:
- Plug in the values of x and y: 6 - 3(12)
- 3(12) = 3 × 12 = 36
- Plug 36 in: 6 - 36
- 6 - 36 = -30
I hope this helps!
Answer:
Step-by-step explanation:
Let x represent the number of questions that Tim got right in the math test.
The number of questions that Tim got wrong in the math test is 10.
If the total number of questions on the math test is q, it means that
x + 10 = q
If he received 4 points for every correct answer and there was no penalty for wrong answers, it means that he received 0 point for a wrong answer. If
his score was 76 points, it means that
4x + 0 × 10 = 76
4x = 76
Therefore, the required equations are
x + 10 = q
4x = 76
Answer:
For first lamp ; The resultant probability is 0.703
For both lamps; The resultant probability is 0.3614
Step-by-step explanation:
Let X be the lifetime hours of two bulbs
X∼exp(1/1400)
f(x)=1/1400e−1/1400x
P(X<x)=1−e−1/1400x
X∼exp(1/1400)
f(x)=1/1400 e−1/1400x
P(X<x)=1−e−1/1400x
The probability that both of the lamp bulbs fail within 1700 hours is calculated below,
P(X≤1700)=1−e−1/1400×1700
=1−e−1.21=0.703
The resultant probability is 0.703
Let Y be a lifetime of another lamp two bulbs
Then the Z = X + Y will follow gamma distribution that is,
X+Y=Z∼gamma(2,1/1400)
2λZ∼
X+Y=Z∼gamma(2,1/1400)
2λZ∼χ2α2
The probability that both of the lamp bulbs fail within a total of 1700 hours is calculated below,
P(Z≤1700)=P(1/700Z≤1.67)=
P(χ24≤1.67)=0.3614
The resultant probability is 0.3614
Answer:
B) 50.24 ft^2
Step-by-step explanation:
radius =1/2 diameter = 4
area = Pi(r^2) = 3.14(4^2) = 3.14(16) = 50.24
