9514 1404 393
Answer:
y = -16x² +180
Step-by-step explanation:
The vertex appears to be the high point of the graph, (0, 180). Then the vertex form equation is ...
y = a(x -0)² +180
The value of 'a' can be found using the other given point. Substituting for x and y, we have ...
164 = a(1 -0)² +180
-16 = a
Then the complete simplified vertex form equation is ...
y = -16x² +180
Answer:
X = 19/24
Step-by-step explanation:
Move the constant: 4x = 5/3 + 3/2
Add The Fractions: 5/3 + 3/2 = 19/6
Divide Both sides by 4: 4x/4 = 0. 19/6 ÷ 4 = 19/24
The answer to number 11 is 136.5
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.