Answer:
Combined time: 55.316 seconds
The difference in times: 0.856 seconds
Tips:
It is addition and subtraction. A basic calculator should help with any other questions such as this one!
Answer:
The coordinates for B' would be (-6,1) and the coordinates for C would be (-8,-6)
Step-by-step explanation:
Point A was translated 2 left and 1 down to point A'
B = (-4,2)
-4 - 2 = -6 and 2 - 1 = 1 so B' would equal (-6,1)
C = (-6,-5)
-4 - 2 = -8 and -5 - 1 = -6 so C' would equal (-8,-6)
The probability that exactly 2 voters will be in favor of the ballot initiative is 0.309.
<h2>Given</h2>
Number of voters who support ballot initiative = 30 % = 0.30
Number of voters who does not support this initiative = 1 - 0.30 = 0.70
Number of voters selected for Surveying = 5
<h3>What is probability?</h3>
The probability of success and failure remain the same throughout the trials.
The probability that exactly 2 voters will be in favor of the ballot initiative is given by;
If P denotes Success and Q denotes failure;

Hence, the probability that exactly 2 voters will be in favor of the ballot initiative is 0.309.
To know more about Probability click the link given below.
brainly.com/question/20344726
Answer: 0.0497870 ; 0.87754
Step-by-step explanation:
Given that :
λ = 0.0003
Defining a continuous distribution function :
F(x) = 1 - e^-λx = 1 - e^-0.0003x ; x ≥ 0
a. What proportion of the fans will last at least 10,000 hours?
P(x ≥ 10000) = e^-0.0003(10000) = 0.0497870
b. What proportion of the fans will last at most 7000 hours?
P(x ≥ 7000) = 1 - p(x ≤ 7000) = 1 - e^-0.0003(7000)
1 - 0.12245642825 = 0.87754