Answer:
-13/4
Step-by-step explanation:
common denominator -
2*-7/2*2)+1/4=-14/4+1/4
= -13/4
Answer:
13058.83 cubic inches
Step-by-step explanation:
Given that a rectangular box is having dimensions as 41x81 inches.
Let x be the side of square cut from all the four corners.
The open box made would have height as x and length 41-2x with width 81-2x
Volume =

Equate first derivative to 0
We get applicable root as x = 8.642
Max volume = 13058.83 cubic inches
Answer:
7) 10^(3/2)
8) 2^(1/6)
9) 2^(5/4)
10) 5^(5/4)
Step-by-step explanation:
7) (√10)^3 = 10^(3/2)
8) 6 root 2 = 2^(1/6)
9) (4 root 2)^5 = 2^(5/4)
10) (4 root 5)^5 = 5^(5/4)
(7x - 23)° + (11x + 23)° = 180°
7x - 23° + 11x + 23° = 180°
18x = 180° / : 18
x = 10°
Answer:
C) Uniform distribution
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely. In this case, the probability of producing a defective light bulb from a production line is the same over an interval of 90 minutes, so the correct answer is C.
We can calculate the probability.
Uniform probability distribution
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X lower than x is given by the following formula.

For this problem, we have that:
Uniformily distributed over a 90 minute interval, that is, between 0 and 90, so
and
.
We want to find 