Part a.
The domain is the set of x values such that
, basically x can be equal to -1/2 or it can be larger than -1/2. To get this answer, you solve
for x (subtract 1 from both sides; then divide both sides by 2). I set 2x+1 larger or equal to 0 because we want to avoid the stuff under the square root to be negative.
If you want the domain in interval notation, then it would be
which means the interval starts at -1/2 (including -1/2) and then it stops at infinity. So technically it never stops and goes on forever to the right.
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Part b.
I'm going to use "sqrt" as shorthand for "square root"
f(x) = sqrt(2x+1)
f(10) = sqrt(2*10+1) ... every x replaced by 10
f(10) = sqrt(20+1)
f(10) = sqrt(21)
f(10) = 4.58257569 which is approximate
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Part c.
f(x) = sqrt(2x+1)
f(x) = sqrt(2(x)+1)
f(x+2a) = sqrt(2(x+2a)+1) ... every x replaced by (x+2a)
f(x+2a) = sqrt(2x+4a+1) .... distribute
we can't simplify any further
-29 is 29 degrees away from 0 degrees.
31 is 31 degrees away from 0 degrees.
-29 (the temperature in Duluth) is closer to 0, because 29 is less than 31.
Answer:
B and E 2020
Step-by-step explanation:
Answer: 
Step-by-step explanation:
Given : The probability of a correct classification of any part is : p=0.96
sample size : n= 3
The formula to find the mean and variance for binomial distribution is given by :-

Let the random variable X denote the number of parts that are correctly classified.
The, for the given situation, we have

Hence, the mean and variance of X are 2.88 and 0.115 respectively.