Answer:
done
Step-by-step explanation:
I have installed it
Step-by-step explanation:
I have installed it. But I couldn't understand questions.
2. A marketing firm is trying to estimate the proportion of potential car buyers that would consider
purchasing a hybrid vehicle
a. The firm would like their pilot study to have a margin of error that is no more than 4%. How many
people should be in the pilot study in order to meet this goal at the 95% confidence level?
In a sample of 600 potential car buyers, 376 indicated that they would consider purchasing a hybrid
gas/electric powered car.
b. What is the point estimate for the proportion of potential car buyers that would consider buying a
hybrid vehicle? Calculate this value.
c. Find the 95% confidence interval for the true population proportion of potential car buyers that
would consider purchasing a hybrid vehicle.
d. Name two ways we could reduce the margin of error (Hint: think about the sample size n and the
confidence level)
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
Help me please I don’t know the answer
6 and 24 ore consecutive terms in a geometric sequence. The term following 24 is what ?
What is the solution to the inequality 3 + 5/7x > 1 + x ?
Answer:
x<7
Step-by-step explanation:
simplify
[tex]5 \7x + 3 > x + 1[/tex]
subtract x from both sides
[tex] - 2 \7x+3>1[/tex]
subtract 3 from both sides
[tex] - 2 \7x>−2[/tex]
mulitply both sides by 7/-2
answer
x<7
The maximum walking speed S. in feet per second, of an animal can be modeled by the equation
S = L where g = 32 ft/sec and L is the length in feet of the animal's leg. To the nearest
hundredth, how many times greater is the maximum walking speed of a giraffe with a leg length of 6
feet than a hippopotamus with a leg length of 3 feet?
0.71 times
4.06 times
2.00 times
11 time
Answer:
The answer is 1.41 times
Step-by-step explanation: I had the
Answer:
1.41
Step-by-step explanation:
21 m
15 m
Which is closest to the length of XY?
Answer:
18.0 i think
Step-by-step explanation:
marking brainliest!!!!!!!
Answer:
13.50
Step-by-step explanation:
A Multiply 13.50 by 6 which equals $81.00
what is 1.92 divided by 3?
1.92 divided 3 is 0.64
Answer = 0.64
Hope this helps!
Stay safe!
There students Matthew,Thomson and Amos shared 15000 in the ratio 5:2:x respectively.If Matthew's share is 7500 calculate the value of x
Answer:
x= 3
Step-by-step explanation:
Given data
Ratio= 5:2:x
Combined ratio= 5+2+x
= 7+x
Total amount of money= $15000
Let us apply the part to all method
Hence for Matthew whose share = $7500
5/7+x= 7500/15000
Cross multiply we have
7500*(7+x)= 15000*5
52500+7500x= 75000
Collect like terms we have
7500x= 75000-52500
7500x=22500
x= 22500/7500
x=3
Hence the value of x= 3
Which set of ordered pairs represents a function?
What’s the scale factor?
Answer:
The scale factor is 1/4
Step-by-step explanation:
20/5 = 4
Elise bought a dress that was discounted 35% off of the original price of $140. What was the amount of discount and the sale price of the dress?
Kira and her friends are planning to take a trip next summer to drive to Big Bend National Park. They plan to split the cost of gas equally among the 4 of them. Kira expects that each person will pay at most $35.
Let x represent how much Kira expects the gas to cost in all. Which inequality describes the problem?
Using proportions, it is found that the inequality that describes the problem is:
[tex]\frac{x}{4} \leq 35[/tex]
The sentence is:
Kira expects the gas to cost at most $140.What is a proportion?A proportion is a fraction of total amount.In this problem:
The total amount is the gas cost, which is of x.This amount will be evenly split among four people, hence the amount paid by each person is given by:[tex]\frac{x}{4}[/tex]
Kira expects that each person will pay at most $35, hence, the inequality is:
[tex]\frac{x}{4} \leq 35[/tex]
Solving the inequality, we have that:
[tex]x \leq 140[/tex]
Hence, the sentence is:
Kira expects the gas to cost at most $140.You can learn more about proportions at https://brainly.com/question/24372153
Please help - Geometry - 15 points - One question -
If the graph below corresponds to the equation y = x2 + bx + c, what are the values of b and c?
A. b = −1,c = 2.
B. b = 2, c= −1
C. b = −1,c = −2
D. b = 1, c= −2
Answer:
C. b = -1, c = -2
Step-by-step explanation:
2 roots: x = -1 and x = 2
(x+1)(x-2) = 0
y = x² - x -2
b= -1 , c = -2
Answer:
The andswer is C b= -1 c=-2
Step-by-step explanation:
I took the quiz!!
Find the values of the six trigonometric functions of an angle in standard position if the point with coordinates (84, 13) lies on its terminal side.
Answer:
[tex]\sin \theta = 0.153[/tex], [tex]\cos \theta = 0.988[/tex], [tex]\tan \theta = 0.155[/tex], [tex]\cot \theta = 6.462[/tex], [tex]\sec \theta = 1.012[/tex], [tex]\csc \theta = 6.538[/tex]
Step-by-step explanation:
Let be the point [tex](x,y)[/tex], the six trigonometric functions of the angle are represented by following formulas:
[tex]\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}[/tex] (1)
[tex]\cos \theta = \frac{x}{\sqrt{x^{2}+y^{2}}}[/tex] (2)
[tex]\tan \theta = \frac{\sin \theta}{\cos \theta} = \frac{y}{x}[/tex] (3)
[tex]\cot \theta = \frac{1}{\tan \theta} = \frac{x}{y}[/tex] (4)
[tex]\sec \theta = \frac{1}{\cos \theta} = \frac{\sqrt{x^{2}+y^{2}}}{x}[/tex] (5)
[tex]\csc \theta = \frac{1}{\sin \theta} = \frac{\sqrt{x^{2}+y^{2}}}{y}[/tex] (6)
If we know that [tex]x = 84[/tex] and [tex]y = 13[/tex], then the values of the six trigonometric functions is:
[tex]\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}[/tex]
[tex]\sin \theta = 0.153[/tex]
[tex]\cos \theta = \frac{x}{\sqrt{x^{2}+y^{2}}}[/tex]
[tex]\cos \theta = 0.988[/tex]
[tex]\tan \theta = \frac{y}{x}[/tex]
[tex]\tan \theta = 0.155[/tex]
[tex]\cot \theta = \frac{x}{y}[/tex]
[tex]\cot \theta = 6.462[/tex]
[tex]\sec \theta = \frac{\sqrt{x^{2}+y^{2}}}{x}[/tex]
[tex]\sec \theta = 1.012[/tex]
[tex]\csc \theta = \frac{\sqrt{x^{2}+y^{2}}}{y}[/tex]
[tex]\csc \theta = 6.538[/tex]
Leon had 84 paper clips. He gave 3 4 of them to Joe. Joe gave 2 7 of what he received to Justin. How many paper clips did Justin get?
Please explain it in a statement way!
Given:
Leon had 84 paper clips.
He gave [tex]\dfrac{3}{4}[/tex] of them to Joe.
Joe gave [tex]\dfrac{2}{7}[/tex] of what he received to Justin.
To find:
How many paper clips did Justin get?
Solution:
Leon had 84 paper clips and he gave [tex]\dfrac{3}{4}[/tex] of them to Joe.
Number of paper clips Joe has = [tex]\dfrac{3}{4}\times 84[/tex]
= [tex]63[/tex]
Joe gave [tex]\dfrac{2}{7}[/tex] of what he received to Justin.
Number of paper clips Justin has = [tex]\dfrac{2}{7}\times 63[/tex]
= [tex]18[/tex]
Therefore, Justin has 18 paper clips.
PLEASE HELP QUICK ITS ALMOST DUE!
What is the slope of the inequality of the red line in this graph
cos 55 degrees = sin x
(pls answer this) (no links) (pls explain )
Answer:
2(3.5g - 4.5h)
Step-by-step explanation:
factoring the expression (i think that what its called) i divided the expression into two and then put two on teh isde of the parenthesis to show that you multiply it again
Jesse has a storage container in the shape of a right rectangular prism. The volume of the container is 43.875 cubic meters, the length is 5 meters and the width is 3.9 meters.
Note: Consider we need to find the height of the container.
Given:
The volume of container in the shape of right rectangular prism = 43.875 cubic meters.
Length = 5 meters.
Width = 3.9 meters.
To find:
The height of the container.
Solution:
We know that the volume of a rectangular prism is:
[tex]V=l\times w\times h[/tex]
Where, l is length, w is width and h is height.
Putting [tex]V=43.875,l=5,w=3.9[/tex] in the above formula, we get
[tex]43.875=5\times 3.9\times h[/tex]
[tex]43.875=19.5\times h[/tex]
[tex]\dfrac{43.875}{19.5}=h[/tex]
[tex]2.25=h[/tex]
Therefore, the height of the rectangular container is 2.25 meters.
Tina said that circles in a Venn diagram must always overlap. Is Tina correct yes or no? Explain your answer.
Answer:
No
Step-by-step explanation:
This is because a Venn diagram is made up of two or more circles. The Venn diagram is used to find the amount that everyone agrees with. This means you have to make them overlap in order to find the answer.
What is 3 1/8 as a percent .
Answer:
%312.50
Step-by-step explanation:
Answer:
312.50%
(Please tell me if I'm wrong)
250 students in a high school senior class are surveyed about what majors they intend to declare in college. Of the 250 students, 100 plan to major in mathematics, 80 plan to major in computer science and 20 plan to pursue a double major in mathematics and computer science.
Let M be the even that a randomly selected student plans to major in mathematics and C be the event that a randomly selected student plans to major in computer science.
What is P(M), the probability that a student plans to major in mathematics?
What is P(C), the probability that a student plans to major in computer science?
What is P(M and C), the probability that a student decided to major in mathematics and computer science?
What is P(M or C), the probability that a student has chosen to major in mathematics or computer science?
Answer: Program C allows students to earn a Mathematics degree (B.A. or B.S.) by combining courses in the Department of Mathematics with courses from one other department. In most areas of specializations, mathematical and/or quantitative courses in other departments are part of the math degree program. All Program C students take a minimum of five core math courses: Calculus I, Calculus II, Calculus III, Introduction to Linear Algebra, and a proofs course, usually either Introduction to Abstract Algebra or Fundamental Properties of Spaces and Functions I.
Step-by-step explanation: Hope this helps.
Answer:
2/5
8/25
2/25
16/25
Step-by-step explanation:
Convert these numbers into Scientific Notation
Answer:
1000=1×10^3
98000=9.8×10^4
[tex]\huge\boxed{\boxed{\textbf{Hi\:there!}}}}[/tex]
First of all, when we convert numbers to scientific notation, we should recall what scientific notation looks like.
A number in scientific notation looks like that:
____x10^-
____ is the coefficient (it should always be between 1 and 10)
- is the exponent.
1,000 in Scientific notation looks like so:
10x10^2
Now, the exponent doesn't mean that we multiply 10 times 10. It means we take 10 and move the decimal point 2 units to the right (the positive exponent indicates that we move the decimal point to the right)
98,000 in Scientific notation looks like so:
9.8x10^4
[tex]\huge\boxed{\boxed{\sf{Hope\:this\:helps\:you!:)}}}[/tex]
[tex]\large\textbf{Good\:luck!}[/tex]
[tex]\large\mathfrak{LoveLastsAllEternity}[/tex]
To become a member at All Sport Gym, you must first pay a one time fee of $25. After that, the cost of membership is $10 per month. Write an equation to model this situation.
Answer:
25-10=15
Step-by-step explanation:
What is the average rate of change of g over the interval 0 < x < 9?
Give an exact number.
Answer:
Step-by-step explanation:
10/9
Answer:
10/9
Step-by-step explanation:
How are rectangles and parallelograms different?
rectangles have four right angles; parallelograms have two sets of congruent angles.
parallelograms have four congruent sides; rectangles have four sides that are not congruent.
rectangles have four congruent sides; parallelograms have four sides that are not congruent.
parallelograms have four right angles; rectangles have two sets of congruent angles.
Answer:
B
Step-by-step explanation:
Please help, 20 points
Which choice is equivalent to the expression below?
See picture
Answer:
does that say 7.19 or 7-19
Step-by-step explanation:
6. Harry deposited an equal amount into his savings account on two occasions. If he already had $450 in the account and had $565 after the deposits, how much was each deposit?
Answer:
$115
Step-by-step explanation:
Amount Harry had in the account = $450
He had $565 after the deposits.
We need to find the amount deposited by Harry.
Deposited amount = final amount-initial amount
= $565 - $450
= $115
So, each deposit is $115.
Answer:$57.50
Step-by-step explanation:
2x + 450 = 565
2x + 450 - 450 = 565 - 450
2x = 115
2x/2 = 115/2
x = 57.50