Answer:
a. The number of people that should be in the pilot study are 600 people
b. The point estimate is 0.62[tex]\overline 6[/tex]
c. At 95% confidence level the true population proportion of potential car buyers of hybrid vehicle is between the confidence interval (0.588, 0.6654)
d. Two ways to reduce the margin of error are;
1) Reduce the confidence interval
2) Use a larger sample size
Step-by-step explanation:
a. The given parameters for the estimation of sample size is given as follows;
The margin of error for the confidence interval, E = 4% = 0.04
The confidence level = 95%
The sample size formula for a proportion as obtained from an online source is given as follows;
[tex]n = \dfrac{Z^2 \times P \times (1 - P)}{E^2}[/tex]
Where, P is the estimated proportions of the desired statistic, therefore, we have for a new study, P = 0.5;
Z = The level of confidence at 95% = 1.96
n + The sample size
Therefore, we have;
[tex]n = \dfrac{1.96^2 \times 0.5 \times (1 - 0.5)}{0.04^2} = 600.25[/tex]
Therefore, the number of people that should be in the pilot study in order to meet this goal at 95% confidence level is n = 600 people
b. The point estimate for the population proportion is the sample proportion given as follows;
[tex]\hat p = \dfrac{x}{n}[/tex]
Where;
x = The number of the statistic in the sample
n = The sample size
From the question, we have;
The number of potential car buyers, n = 600
The number of respondent in the sample that indicated that they would consider purchasing a hybrid, x = 376
Therefore, the point estimate, for the proportion of potential car buyers that would consider buying a hybrid vehicle, [tex]\hat p[/tex] = 376/600 = 0.62[tex]\overline 6[/tex]
c. The confidence interval for a proportion is given as follows
[tex]CI=\hat{p}\pm z\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]
Therefore, we get;
[tex]CI=0.62 \overline 6\pm 1.96\times \sqrt{\dfrac{\hat{0.62 \overline 6}\cdot (1-\hat{0.62 \overline 6})}{600}}[/tex]
C.I. ≈ 0.6267 ± 0.0387
The 95% confidence interval for the true population proportion of potential buyers of hybrid vehicle, C.I. = (0.588, 0.6654)
d. The margin of error is given by the following formula;
[tex]MOE_\gamma = z_\gamma \times \sqrt{\dfrac{\sigma ^2}{n} }[/tex]
Where;
[tex]MOE_\gamma[/tex] = Margin of error at a given level of confidence
[tex]z_\gamma[/tex] = z-score
σ = The standard deviation
n = The sample size
Therefore, the margin error can be reduced by the following two ways;
1) Reducing the confidence interval and therefore, the z-score
2) Increasing the sample size
somebody please solve this!!!
Answer:
See below.
Step-by-step explanation:
We know that
tanA + tan B
tan (A + B) = ---------------------
1 - tanAtanB
Substituting for A + B
tan (A + B) = tan pi/4 = 1.
tanA + tan B
So ------------------ = 1
1 - tanAtanB
Therefore tanA + tan B = 1 - tanAtanB.
2 is what percent of 80?
Answer:
2.5
Step-by-step explanation:
Answer:
2.5%
Step-by-step explanation:
Convert fraction (ratio) 2 / 80 Answer: 2.5%
find the angle measure indicated
Answer:
? = 58°
Step-by-step explanation:
Angles subtended by tangents and radii of a circle are supplementary, so
? + 122° = 180° ( subtract 122° from both sides )
? = 58°
Which is not an example of intersecting lines?
No Web Sites!
A . Graph Paper
B. A piece of copy paper
C. a woven basket
D. A street with a four way stop at corner.
Answer:
B. A piece of copy paper.
WHAT IS 12X34=??
PLEASE SOMEONE HLEP ME
Answer:
408
Step-by-step explanation:
12×34
12×34
48+360
408
Answer:
408
Step-by-step explanation:
you put 12 on top and you put 34 on the bottom then you have 12x 34 then you multiply it
6. The angle of elevation from a small boat to the top of a lighthouse is 25°. If the top of the lighthouse is 150
feet above sea level, find the distance from the boat to the base of the lighthouse.
Answer:
321.68feet
Step-by-step explanation:
Given the following
Top of the house above the sea level = 150feet = opposite
Angle of elevation = 25°
Required
Distance from the boat to the base of the house(adjacent)
Using the SOH CAH TOA identity
tan theta = opp/adj
tan 25 = 150/d
d = 150/tan25
d = 150/0.4663
d = 321.68
Hence the required distance is 321.68feet
ASAP PLSSSS Read the paragraphs. How has Ruthie's point of view changed by the
end of the story?
kin' on
ton.m
Answer:
D
Step-by-step explanation:
Help me please!!!...
Answer:
3rd choice, 3rd one down.
Explanation:
That is a pyramid, not a prism.
the third one i think
A triangle has sides with lengths of 9 meters, 40 meters, and 41 meters. Is it a right triangle?
Answer:
No its not a Right Triangle
What two numbers have a product of 144 and a sum of -24?
Answer:
-12, -12
Step-by-step explanation:
Both numbers are negative, they add to -24, 2 negatives make positive (-12 x -12 = 144)
Find the median of the data in the box plot below. dollars cost of each lunch for the month (in dollars) 4,,5,6,7,8,9,10
Answer:
7
Step-by-step explanation:
The median is the number in the middle of a data set.
For example, in this question 7 is in the middle of the data set, thus making it the median.
Convert r= 2 / 7sinθ−cosθ to rectangular form.
Enter your answer in slope-intercept form by filling in the boxes. Enter values so that fractions are simplified.
The rectangular form of the given equation r= 2 / 7sinθ−cosθ which is in polar form is 7x - y = 2 and the slope-intercept form is y = 7x - 2
How to convert from polar form to rectangular form?To convert from polar form to rectangular form we simply take the following steps:
x = rsinθy = rcosθWhat is slope-intercept form?The slope-intercept form is,
y = mx +c
where m is the slope made and c is the intercept both made by the straight line.
In the given question let's first rearrange it,
r × (7sinθ − cosθ) = 2
Multiplying the term (7sinθ−cosθ) with r we get,
7rsinθ - rcosθ = 2
Now we will follow the steps discussed above which is we will put x and y respectively in place of rsinθ and rcosθ.
7x - y = 2
So, the slope-intercept form will be,
y = 7x - 2
Therefore, the rectangular form is 7x - y = 2 and the slope-intercept form is y = 7x - 2.
To know more about the polar form and how to convert it to rectangular form click here - brainly.com/question/27412064
#SPJ2
Let's simplify
Remember that rsinØ is x an rcosØ=y
r=2/7sinØ-cosØr(7sinØ-cosØ)=27rsinØ-rcosØ=27x-y=2Rectangle form or slope intercept form
y=7x-2Please help me find the square root
the difference of two number is 28 if the larger number is three time of the smaller find the number
Set up an equation:
3x - x = 28
Simplify:
2x = 28
Divide both sides by 2
X = 14
3(14) = 42
The numbers are 42 and 14
HIII could some one please help me !!
Answer:
always
Step-by-step explanation:
so if it isn't it will be an acute or an obtuse
A quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are defective. Step 1 of 2: Suppose a sample of 542 floppy disks is drawn. Of these disks, 37 were defective. Using the data, estimate the proportion of disks which are defective. Enter your answer as a fraction or a decimal number rounded to three decimal places.
Answer:
0.068 or 6.826%
Step-by-step explanation:
In order to calculate the proportion of disks that are defective, we need to divide the number of defective disks by the total amount of disks that were chosen in the given sample. Using the data provided this would be the following calculation...
37 / 542 = 0.068
We can multiply this by 100 to get the percentage value
0.068 * 100 = 6.826%
Therefore, roughly 6.826% of the entire disk population would be defective.
0 = x - 7x + 16
Help
OMG, PLEASE JUST HELP, AND LOOK AT THE CHART BEFORE YOU ANSWER!!
Answer:
stop
Step-by-step explanation:
stop using this app, the chances of you actually getting a helpful response or even one at all are so slim, just pay an actual tutor at this point
Answer:
Step-by-step explanation:
A = 1,0
B = 0,-3
C = -6,5
D = -3,-5
E = -1, 4
−3.3 ÷ 2.2
Find the quotient. Write your answer as a decimal.
Answer:
-1.5
Step-by-step explanation:
Factor the numerator and denominators and cancel the common factors.
please help i’ll mark brainliest
Answer:
6...................
Based on this picture below find the equation that matches
A. 9x=1
B.5x+6=1
C.6x+5=1
D.5x-6=1
A department store offers free samples of a 2-ounce
container of lotion with every fragrance purchase. Write a
rule to describe the number of ounces of product for each
purchase. Plot 3 points on the graph to show the pattern.
Use t for the total number of ounces and ffor the ounces
of fragrance.
Answer:
The situation you are describing can be written as y=2x, or in this case t=2f, for every fragrance purchased there are 2 ounces of lotion that are given. Since the ounces of fragrance are not shown in this question, we can only make the graph on the ounces of lotion for every fragarance purchased. The points of the graph represent that for every fragrance bought, there is twice the amount of that in ounces of lotion. In summary, the rule is t=2f where t would equal purchases of fragrance and f would equal the ounces of lotion.
(If there is any more you would like to add to the question I can answer that.)
Prove quadrilateral MATH, M (-4,-1) A(-3,2). T(3,0), H(2-3) is a rectangle
Answer:
Since MA ≠ TH, hence MATH is not a rectangle
Step-by-step explanation:
To prove that quadrilateral MATH, M (-4,-1) A(-3,2). T(3,0), H(2-3) is a rectangle, we need to get the length of each sides and show that MA =TH and MH = TA
For MA:
M (-4,-1) A(-3,2)
MA = √(2+1)²+(3+4)²
MA = √(3)²+(7)²
MA = √9+49
MA =√58
For TH:
T(3,0), H(2-3)
TH = √(-3-0)²+(2-3)²
TH = √(-3)²+(-1)²
TH = √9+1
TH =√10
For TH:
M(-4,-1), H(2-3)
MH = √(-3+1)²+(2+4)²
MH = √(-2)²+(6)²
MH = √4+36
MH =√40
For TA:
T(3,0), A(-3,2)
TA = √(2-0)²+(-3-3)²
TA = √(2)²+(-6)²
TA = √4+36
TA =√40
Since MA ≠ TH, hence MATH is not a rectangle
Please help! Having a lot of trouble with this
Answer:
[tex]\huge\red{\mid{\underline{\overline{\textbf{ANSWER}}}\mid}}[/tex]
Its A)
For Sure.
Its Intersecting The X- axis At X= -2 and x=6
hellooo pls help!
what is 85 divided by 2!!
The result is 85 divided by 2 equals 42.5.
So, when we divide 85 by 2, the quotient is 42, and there is a remainder of 1.
To divide 85 by 2, we need to perform the division operation step by step.
Divide the first digit of the dividend (85) by the divisor (2). The first digit of the dividend is 8.
8 ÷ 2 = 4
Write down the result (4) as the first digit of the quotient.
Multiply the divisor (2) by the quotient digit (4) and subtract the result from the first two digits of the dividend (85).
The result is the remainder.
85 - (2 * 4) = 85 - 8 = 77
Bring down the next digit of the dividend (7) to the remainder (77) to form a new dividend (77).
Divide the first digit of the new dividend (77) by the divisor (2).
77 ÷ 2 = 38 with a remainder of 1
Write down the quotient digit (38) as the second digit of the quotient.
Since there are no more digits to bring down, the division process is complete.
Now, we have the quotient and the remainder:
85 ÷ 2 = 42 with a remainder of 1
i.e. 85 ÷ 2 = 42.5
So, when we divide 85 by 2, the quotient is 42, and there is a remainder of 1.
To learn more on division click:
brainly.com/question/21416852
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Find the sale price to the nearest cent.
The sale price of a video game that has been
discounted 30% is $26.46. What was the original
price of the video game?
Answer:
$34.40
Step-by-step explanation:
26.46 ×30% = 7.94
26.46+7.94= 34.4
Write a new expression to represent the account balance, in dollars, if interest compounded quarterly.
Answer: A
Step-by-step explanation:
You already chose the answer lol
pls help me. will give brainliest if correct!!
A circle is centered at (0,0) and has a radius of square root 38.
Where does the point K(6, 1) lie?
Choose 1 answer:
a. Inside the circle
b. On the circle
c. Outside the circle
please answer fast first right answer will get the brainliest answers
Answer:
A
Step-by-step explanation:
please help me. i’ll give you brainliest points
Answer:
i dont know
Step-by-step explanation:
Answer:
The answer would be P
