1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sholpan [36]
2 years ago
5

20 POINTS!!! NEED IT FAST. A vehicle travels on a highway at a rate of 65 mi/h. How long does it take the vehicle to travel 25 m

i.

Mathematics
1 answer:
a_sh-v [17]2 years ago
3 0
Depending on Speed and Traffic and Tolls on The Highway It should take 3 minutes on a slow highway and 6 on a fast Highway
You might be interested in
A poll in 2017 reported that 705 out of 1023 adults in a certain country believe that marijuana should be legalized. When this p
just olya [345]

Answer:

1. d. (0.652, 0.726)

2. b. (0.661, 0.718)

a. The margin of error of a 90​% confidence interval will be less than the margin of error for the 95​% and 99​% confidence intervals because intervals get wider with increasing confidence level.

Step-by-step explanation:

Data given and notation  

n=1023 represent the random sample taken in 2017    

X=705 represent the people who thinks that believe that marijuana should be legalized.

\hat p =\frac{705}{1023}=0.689 estimated proportion of people who thinks that believe that marijuana should be legalized.

z would represent the statistic in order to find the confidence interval    

p= population proportion of people who thinks that believe that marijuana should be legalized.

Part 1

The confidence interval would be given by this formula

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

For the 99% confidence interval the value of \alpha=1-0.99=0.01 and \alpha/2=0.005, with that value we can find the quantile required for the interval in the normal standard distribution.

z_{\alpha/2}=2.58

And replacing into the confidence interval formula we got:

0.689 -2.58 sqrt((0.689(1-0.689))/(1023))=0.652

0.689 + 2.58sqrt((0.56(1-0.689))/{1023))=0.726

And the 99% confidence interval would be given (0.652;0.726).

We are 99% confident that about 65.2% to 72.6% of people  believe that marijuana should be legalized

d. (0.652, 0.726)

Part 2

The confidence interval would be given by this formula

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

For the 95% confidence interval the value of \alpha=1-0.95=0.05 and \alpha/2=0.025, with that value we can find the quantile required for the interval in the normal standard distribution.

z_{\alpha/2}=1.96

And replacing into the confidence interval formula we got:

0.689 - 1.96((0.689(1-0.689))/(1023))=0.661

0.689 + 1.96 ((frac{0.56(1-0.689))/(1023))=0.718

And the 95% confidence interval would be given (0.661;0.718).

We are 95% confident that about 66.1% to 71.8% of people  believe that marijuana should be legalized

b. (0.661, 0.718)

Part 3

Would be lower since the quantile z_{\alpha/2} for a lower confidence is lower than a quantile for a higher confidence level.

The margin of error of a 90​% confidence interval will be less than the margin of error for the 95​% and 99​% confidence intervals

If we calculate the 90% interval we got:

For the 90% confidence interval the value of \alpha=1-0.90=0.1 and \alpha/2=0.05, with that value we can find the quantile required for the interval in the normal standard distribution. The quantile for this case would be 1.64.

And replacing into the confidence interval formula we got:

0.689 - 1.64 ((0.689(1-0.689))/{1023))=0.665

0.689 + 1.64 ((0.56(1-0.689))/(1023))=0.713

And the 90% confidence interval would be given (0.665;0.713).

We are 90% confident that about 66.5% to 71.3% of people  believe that marijuana should be legalized.

The intervals get wider with increasing confidence level.

So the correct answer is:

a. The margin of error of a 90​% confidence interval will be less than the margin of error for the 95​% and 99​% confidence intervals because intervals get wider with increasing confidence level.

6 0
3 years ago
Gina and rhonda work for different real estate agencies gina earns a monthly salary of $5,000 plus 6% commission on her salary r
ladessa [460]
Each must sell 35,678 dollars each year not counting commision to add 6 percent of that. 
6 0
3 years ago
Ernest has 3/4 of a yard of ribbon. She used 1/2 of it to wrap a gift. How much ribbon did she use
Ivenika [448]


\frac{3}{4} (yard) \times \frac{1}{2} = \frac{3}{8} (yard) \ \\
5 0
2 years ago
Does the equator cross the northen or southern part of south america south america is mostly located
Paul [167]

Answer:

It crosses the northern part of south America! The equator is an imaginary line around the middle of a planet or other celestial body. It is halfway between the North Pole and the South Pole

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is the definition of point of tangency? in Geometry
Allisa [31]
<span>The point where a tangent and a circle intersect is y hope this helps</span>
8 0
2 years ago
Read 2 more answers
Other questions:
  • Which function has a greater y-intercept?
    7·1 answer
  • A group of school children consist of 25 boys and 18 girls. how many ways are there:
    7·1 answer
  • Can somebody help me turn these numbers into decimals? 34%,0.12%,62.5%. Also turning decimal into percent? These numbers need to
    9·1 answer
  • I need help with 1-19!! Please help me!!!
    9·1 answer
  • 1st and 2nd question.
    10·1 answer
  • What is the root of 75
    15·1 answer
  • Jerilyn made 40 treats for her birthday and she gave 4 away to her family she brings the rest of the treats to her school what p
    9·1 answer
  • Eric bought two jars of peppers and six jars of pickles for $49. Andrew bought three jars of peppers and 5 jars of pickles for $
    7·1 answer
  • Sally spins a fair spinner numbered 1 - 6 and flips a fair coin. What is the probability of obtaining a multiple of 3 and a tail
    11·1 answer
  • Expand the brackets and simplify: 2(5x-y)-3(3x-y)​
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!