Answer:
115 degree
Step-by-step explanation:
x + 65 = 180 (Sum of angles in a straight line = 180 [Also known as Linear pair])
x = 180 - 65
x = 115 degree
The Solution:
Given:
Required:
Find the standard deviation of the probability distribution.
Step 1:
Find the expected value of the probability distribution.


Step 2:
Find the standard deviation.




Thus, the standard deviation is 1.60
Answer:
1.60
Answer:
0.336
Step-by-step explanation:
Use binomial probability:
P = nCr p^r q^(n-r)
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is the probability of failure (1-p).
Here, n = 8, r = 7, p = 0.8, and q = 0.2.
P = ₈C₇ (0.8)⁷ (0.2)⁸⁻⁷
P = 0.336
Divide everything by 8: 550/8=68.75, 250/8=31.25. The new dimensions are 68.75 inches by 31.25 inches :)
Answer:
The slope of the line that passes through the points (2, 3) and (8, 6) is
.
Step-by-step explanation:
To find the slope of two points, divide the difference between the y values by the difference between x values, you can remember this by the mnenomic "rise over run". In this case, the difference between y and x values would be 6 - 3 = 3 and 8 - 2 = 6 respectively. This means the slope between the two points (2, 3) and (8, 6) is
or
.