Step-by-step explanation:
AB and CD is not parallel because co-interior sum is 180 and another reason is that parallel sign isn't given.
Answer:
Mean and Variance of the number of defective bulbs are 0.5 and 0.475 respectively.
Step-by-step explanation:
Consider the provided information,
Let X is the number of defective bulbs.
Ten light bulbs are randomly selected.
The likelihood that a light bulb is defective is 5%.
Therefore sample size is = n = 10
Probability of a defective bulb = p = 0.05.
Therefore, q = 1 - p = 1 - 0.05 = 0.95
Mean of binomial random variable: 
Therefore, 
Variance of binomial random variable: 
Therefore, 
Mean and Variance of the number of defective bulbs are 0.5 and 0.475 respectively.
Answer:
C
Step-by-step explanation:
From the given coordinates
A(6, 0), B(0, 0) then AB = 6 - 0 = 6
B(0, 0), C(0, 8) then BC = 8 - 0 = 8
To calculate AC use Pythagoras' theorem on the right triangle formed
AC² = AB² + BC² = 6² + 8² = 36 + 64 = 100
Take the square root of both sides, hence
AC =
= 10
Perimeter = AB + BC + AC = 6 + 8 + 10 = 24 → C
Answer:
lets use what we know.
given lengths are: 6, 3, 6, and 15.
We need to split the right triangle from the small little rectangle.
Now we add the lengths of the triangle to get the full length:
6 + 6 = 12
now we need to find the base:
15 - 3 = 12
Now we get our area of the triangle:
12 x 12 = 144
144 divided by 2 = 72
Now the small rectangle's area:
6 x 3 = 18
Add both of their areas to get:
72 + 18 = 90 ft2