An automobile manufacturer would like to know what proportion of its customers are dissatisfied with the service received from their local dealer. The customer relations department will survey a random sample of customers and compute a 95% confidence interval for the proportion that are dissatisfied. From past studies, they believe that this proportion will be about 0.28. Find the sample size needed if the margin of error of the confidence interval is to be no more than 0.02. (Round your answer up to the nearest whole number.)
Answers
Answer:
The sample size needed if the margin of error of the confidence interval is to be no more than 0.02.
n= 2015
Step-by-step explanation:
Given the customer relations department will survey a random sample of customers and compute a 95% confidence interval for the proportion that are dissatisfied
Given data from past studies, they believe that this proportion will be about 0.28
The proportion of success(p) = 0.28
We know that the margin of error of 95% of intervals of given proportion
margin of error = …(i)
Given margin of error = 0.02
Substitute values in equation (i) cross multiplication √n
0.02 √n = 2√0.28X0.72
On calculation, we get √n = 44.89
squaring on both sides, we get
n = 2015
Conclusion:-
The sample size needed if the margin of error of the confidence interval is to be no more than 0.02.
n= 2015
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The domain of the function is the set of all values x such that x is greater than or equal to one-quarter.
The range of the function is all real numbers.
The vertex of the function is (one-quarter, negative 6 and one-eighth).
The function has two x-intercepts.
The function is increasing over the interval (negative 6 and one-eighth, ∞).
Answers
The statements true about the the function f(x) = 2x2 – x – 6 are-
- The vertex of the function is (one-quarter, negative 6 and one-eighth).
- The function has two x-intercepts.
What is vertex of parabola?
The vertex of parabola is the point at the intersection of parabola and its line of symmetry.
Now the given function is,
f(x) = 2x^2 – x – 6
Also, it is given that the vertex is located at (0.25, -6) and the parabola opens up, the function has two x-intercepts.
Comparing the given function with standard form,
f(x) = a x^2 bx + c
By comprison we get,
a = 2
b = -1
c = -6
Now, x-coordinate of vertex is given as,
x = -b/2a
put the values we get,
x = -(-1)/2*2
or, x = 1/4
Put the value of x in given function, so y-coordinate of the vertex is given as,
f(1/4) = 2(1/4)² - 1/4 - 6
= -49/6
= -6 1/8
Hence, The statements true about the the function f(x) = 2x2 – x – 6 are-
- The vertex of the function is (one-quarter, negative 6 and one-eighth).
- The function has two x-intercepts.
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Answer:
The vertex of the function is (one-quarter, negative 6 and one-eighth).
The function has two x-intercepts.
Step-by-step explanation:
The answer above is correct.
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Answers
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Answer:
Step-by-step explanation:
Hello!
First, calm down. Now, think. Plot those points on a coordinate graph! I don't have coordinate graph at hand right now, but if you plot them, you should get the answer. Remember, if there are diagonal lines, then use the pythagorean theorem!
y = -2x + 2
These are the last two steps of his work.
6x - 6x + 6 = 6
Which statement about this linear system must be true?
A: x must equal 6
B: y must equal 6
C: There is no solution
D: There are infinitely many solutions to this system
Answers
Answer:
the answer will equal d
Step-by-step explanation:
Answers
Answer:
d = 0
Step-by-step explanation:
To find the solution to the given equation, we must solve for d in the equation.
7.5d = 2.5d
Subtract 2.5d from both sides.
5d = 0
Divide both sides by 5.
d = 0
So the solution to the equation would be d = 0.
I hope this helps. Happy studying.
Final answer:
The provided equation 7.5d=2.5d seems to be flawed as these quantities cannot be equal unless the variable 'd' is zero. Please double-check the equation.
Explanation:
The equation given is 7.5d=2.5d. However, this equation cannot be correct as 7.5d and 2.5d cannot be equal unless the variable 'd' equals zero. It seems that there's a typo or mistake in the provided equation. The solution could not be found as the equation seems to be flawed. Please double-check the equation and make sure the coefficients (the numbers before the 'd') and the variable 'd' are correct.
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