You sell an automobile part for $9.98, which includes a $.40 sales tax. The article cost you $8.75.
1 answer:
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Answer:
90% confidence interval for the percent of the population who consider the death penalty to be "fair" is [54.4% , 61.6%].
Step-by-step explanation:
We are given that in October 2010, Gallup Poll asked 510 randomly sampled adults the question, "Generally speaking, do you believe the death penalty is applied fairly or unfairly in this country today?"
Of these, 58% answered "fairly", 36% said "unfairly" and 7% said they didn't know.
Firstly, the Pivotal quantity for 90% confidence interval for the population proportion is given by;
P.Q. = ~ N(0,1)
where, = sample proportion who answered death penalty "fair" = 58%
n = sample of adults = 510
p = population percentage
<em>Here for constructing 90% confidence interval we have used One-sample z test for proportions.</em>
<u>So, 90% confidence interval for the population percentage, p is ;</u>
P(-1.645 < N(0,1) < 1.645) = 0.90 {As the critical value of z at 5% level
of significance are -1.645 & 1.645}
P(-1.645 < < 1.645) = 0.90
P( <
<
) = 0.90
P( < p <
) = 0.90
<u>90% confidence interval for p</u> = [ ,
]
= [ ,
]
= [0.544 , 0.616]
Therefore, 90% confidence interval for the percent of the population who consider the death penalty to be "fair" is [54.4% , 61.6%].
Answer:
The real part is 32, while the imaginary part is 41.9
Step-by-step explanation:
z is a complex number. A complex number is made up of real and imaginary parts.
The real part is the number that stands alone, while the imaginary part is the number that is directly beside the i.
i is actually equal to . There is no solution for that.
Therefore, for the given expression, the real part is 32, while the imaginary part is 41.9.
Note: the imaginary part does not contain i.
Using it's concepts, it is found that for the function :
- The vertical asymptote of the function is x = 25.
- The horizontal asymptote is y = 5. Hence the end behavior is that
when
.
- The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
- The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity. They also give the end behavior of a function.
In this problem, the function is:
For the vertical asymptote, it is given by:
x - 25 = 0 -> x = 25.
The horizontal asymptote is given by:
More can be learned about asymptotes at brainly.com/question/16948935
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