There are 6 2/3 cup servings in a 4 cup container.
Using the binomial distribution, where the number of trials is n and the probability of success is p, the mean is equal to np.
Therefore the mean of x in the question is 100 * 0.7 = 70.
The answer is: 70 circuit boards.
Answer: x=36°
Step-by-step explanation:
The four interior angles of a quadrilateral always equal 360°, so:
(x+16)+(4x-8)+(4x-8)+x=360
Combine like terms:
360=10x+0
360=10x
36=x
Answer:
![P(L)=2L+98m^2/L](https://tex.z-dn.net/?f=P%28L%29%3D2L%2B98m%5E2%2FL)
Step-by-step explanation:
The area (A) of a rectangle is equal to the length (L) of one of its sides times its width (w)
(eq. 1)
And its perimeter can be calculated with the next formula:
P=2(L+w) (eq. 2)
Solving for <em>w </em>in eq. 1, and plugging it into eq. 2
(eq. 3)
(eq. 4)
We know that A=49m^2, plugging in this value into eq. 4, we finally get into the answer:
![P=2L+98m^2/L](https://tex.z-dn.net/?f=P%3D2L%2B98m%5E2%2FL)
If the length of the rectangle is larger than its width:
![L>w\\L>A/L\\L^2>\sqrt{A} \\|L|>\sqrt{A}](https://tex.z-dn.net/?f=L%3Ew%5C%5CL%3EA%2FL%5C%5CL%5E2%3E%5Csqrt%7BA%7D%20%5C%5C%7CL%7C%3E%5Csqrt%7BA%7D)
![|L|>7](https://tex.z-dn.net/?f=%7CL%7C%3E7)
![L7](https://tex.z-dn.net/?f=L%3C-7%20%3B%20L%3E7)
We know that a length can't be negative value, so the only valid interval is L>7. The domine of P is then:
L>7