Which is ordered least to greatest -1.5,-2,0,2/5,3/4 or -2,-1.5,0,3/4,2/5 or |-1.5|,-2,0,2/5,3/4
1 answer:
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The reason the "+ C" is not needed in the antiderivative when evaluating a definite integral is; The C's cancel each other out as desired.
<h3>How to represent Integrals?</h3>
Let us say we want to estimate the definite integral;
I =
Now, for any C, f(x) + C is an antiderivative of f′(x).
From fundamental theorem of Calculus, we can say that;
where Ф(x) is any antiderivative of f'(x). Thus, Ф(x) = f(x) + C would not work because the C's will cancel each other.
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Answer:
a) the probability that Company A will get the discount is 0
b) the probability that Company B will get the discount is 0.2753
c) the probability that Company C will get the discount is 0.9986
Step-by-step explanation:
a) Let p(m) be the <em>minimum</em> proportion of workers needed at Company A who use public transportation to get to work in order the company can get discount offer by the transit authority.
Then ≈ 0.1031
The probability that Company A will get the discount can be stated as
P(z>z*) (p-value of z*) where z* is the z-score of 0.103 in the distribution of proportion of workers in the city who use public transportation to get to work.
z* can be calculated using the equation
where
- p(m) is the minimum proportion needed for company A get discount (0.1031)
- p is the proportion of workers in the city who use public transportation to get to work (0.05)
- N is the number of employees of Company A (291)
Then z*= ≈ 4.15
P(z>4.15)=1-P(z<4.15)=1-1=0
b) for Company B:
≈ 0.0556
z*= ≈ 0.597
P(z>0.597)=1-P(z<0.597)= 1-0.7247=0.2753
c) for Company C:
≈ 0.0296
z*= ≈ -2.979
P(z>-2.979)=1-P(z<-2.979)=1-0.0014=0.9986