Answer:
The p-value of the test is 0 < 0.05, which means that there is significant evidence to conclude that more people utilize the bike lane after the change.
Step-by-step explanation:
Before the upgrade, on any given day, it was known that the section of road saw an average of 350 unique cyclists. Test if more people are using now.
At the null hypothesis, we test if the same number of people is still using, that is, the mean is 350. So
[tex]H_0: \mu = 350[/tex]
At the alternate hypothesis, we test if this mean increased, that is:
[tex]H_1: \mu > 350[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
350 is tested at the null hypothesis:
This means that [tex]\mu = 350[/tex]
After the upgrade, they took a random sample of 35 days in the year and counted the number of unique cyclists each day. The average was 405 cyclists with a standard deviation of 25.
This means that [tex]n = 35, X = 405, s = 25[/tex].
Test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{405 - 350}{\frac{25}{\sqrt{35}}}[/tex]
[tex]t = 13.02[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean above 405, which is a right-tailed test with t = 13.02 and 35 - 1 = 34 degrees of freedom.
Using a t-distribution calculator, this probability is of 0.
The p-value of the test is 0 < 0.05, which means that there is significant evidence to conclude that more people utilize the bike lane after the change.
Two fair 6-sided dice are rolled one at a time. Find the probability that
the first die lands on a value greater than 4 and the second die lands
on 2.
Answer:
Step-by-step explanation:
what is the area of this figure?
Answer:
4 ssquare units
Step-by-step explanation:
Angles of Triangles Scavenger Hunt Answer Key
Find the volume of the pyramid. Write your answer as a fraction or mixed number.
2 ft
1 ft
2 ft
Answer:
V=lwh /3
Step-by-step explanation:
Shari bought 3 breath mints and received $2.76 change.Jamal bought 5 breath mints and received $1.20 change. If Shari and Jamal had the same amount of money how much does each breath mint cost?
Answer:
Step-by-step explanation:
Multiply 4/5 by 10 , and then multiply that product by 17 .
Answer:
your answer is 406.
Step-by-step explanation:
4/5 x 10 will equal to 8. 8 times 17 equals 406.
What is the sum? Complete the equation.
8+(-18) =
What is the volume of a cube that has a side of 4 units?
Answer: 64units³
Step-by-step explanation:
The volume of a cube will be gotten by multiplying the value of its side thrice. This means that for example if the cube has a side of xcm, the volume will be:
= x × x × x
= x³
In this case, since the cube has a side of 4 units, the volume will be:
Volume of cube = 4³
Volume of cube = 4 × 4 × 4 = 64unit³
Two parallel lines cut by a transversal are shown. What is the value of X, in degrees?
9514 1404 393
Answer:
x = 15°
Step-by-step explanation:
Same-side interior angles are supplementary.
(4x° +12°) + 108° = 180°
4x° = 60° . . . . . . . . . . . . . . subtract 120°
x = 15° . . . . . . . . . . . . divide by 4
Hey luvs!
The endpoints of AB are A(1,4) and B(5,-1). What are the coordinates of the point that divides AB in the ratio
2:3?
Answer:
I don't know I'm sorry.............
A theater sold 465 tickets for the morning show and 576 tickets for the evening show. The theater makes $16 for each ticket sold. How much money did the theater make selling tickets for the morning show? ANSWE QUICKKK
Pls help I’ll brainlest and add extra points asap
Step-by-step explanation:
1. E
2. G
3. I
4. J
5. H
6. F
7. A
8. D
9. B
10. C
PLEASE HELP!!!!!!!!!!!
Answer:
I think it's 18
Step-by-step explanation:
because I'm looking at 12/8 to be a ratio, that means that the size of the bigger figure had decreased by 12/8 or 1.5
then I divided the 27 by 1.5 to get the area of the small one which was 18.
Which is the best estimate for the weight of a bicycle?
A. 2 ounces
B. 2 pounds
C. 20 ounces
D. 20 pounds
Answer:
B
Step-by-step explanation:
i know this already from another
How many tenths are in 8.32?
Answer:
3 tenths
Step-by-step explanation:
Plsss help I am falling
Answer:
that sucks
Step-by-step explanation:
srry man i got nothin
is 2 a solution to the equation 1/2 x 4 = 5 ?
Answer:
yes it is good luck with your work
the difference of x and y is the same as 3 times the sum of x and 2
Answer:
x - y = 3(x + 2)
x - y = 3x + 6 is the simplified answer and is also correctStep-by-step explanation:
The difference of x and y is the same as 3 times the sum of x and 2
x - y = 3(x + 2)
x - y = 3x + 6
Plsss help. giving extra points if correct.
Answer:
B. ACB AND ACD
Step-by-step explanation:
since you need to prove, you need to show that the figure can work on any 2 triangles… hope it helps.
Factor this trinomial. Your answer should consist of two binomials.
n^2-11n +28
Answer:
(n-4)(n-7)
Step-by-step explanation:
hopefully that helps
25) Margie needs to borrow $9,000 from a local bank. The
loan has a 8.5% interest rate for 4 years. What will
Margie's monthly payment be?
A) $ 221,850.00
B) $3060.00
C) $250.0
D) $ 221.85
Answer:
B) $3060.00
Step-by-step explanation:
8.5% of 9,000 equals 765, then 765 multiplied by 4 equals 3060.
I think that it will take Margie 4 years to pay back the bank. And the interest rate that the bank charges is 8.5% per month.
I'm not sure if this is correct
The Unit Circle
Determine the coordinates of the point on the unit circle corresponding to the given central angle. If necessary, round your results to the nearest hundredth.
29°
a. (0.87, 0)
b. (0.87, 0.48)
c. (0.48, 0.87)
d. (1, 0.48)
Please select the best answer from the choices provided
Answer:
B. (0.87, 0.48)
Step-by-step explanation:
I calculated it logically
For its standard checking account northwest bank charges a fee of 2.50 plus 0.10 per check the Function use to determine total monthly charges is C=2.50+0.10n where C = monthly charges and n= to number of charges If a customer writes 24 check during a month How much would he customer Be charged
Alex is making a blanket for her nephew. The blanket has a length of 5 ft and a width of 4 ft. She is going to sew ribbon edging around the perimeter of the blanket. The edging costs $3 per yard. How much will it cost for Alex to get the amount of ribbon edging that she needs? Help Resa 5 ft Skip 4 ft 4 ft 5 ft HINT: There are 3 feet in one yard.
She will need 6 yards. the permiter is 16 which 5 wouldnt be enough
What will be the coordinates of the image after a translation up 4 units and right 6 units
Answer:
B
Step-by-step explanation:
To find the answer, translate each point and then use the process of elimination.
For the first point, the coordinates are (-4, -2). The -4 is x and the -2 is y. Translations up and down relate to the y value, while translations left and right relate to x. To translate up 4 units, add 4 to the y value of the coordinate. -2 + 4 is 2, so the y coordinate of the first point will be 2. That eliminated A and D.
For the second point, translate up 4 units (-5 + 4) and you get -1. So the y value of the second point will be -1. In option C, it is positive 1. So that leaves only B.
What function is represented ?
A quartic function
An exponential function
A cubic function
A quadratic function
A linear function
Answer:
A cubic function
Step-by-step explanation:
I graphed it and connected the lines on desmos then compared to the types of calculus graphs on the search engine.
How many students scored below 80?
11
19
cannot be determined from the histogram
9
Answer:
11
Step-by-step explanation:
PLEASE HELP
On the graph below, Point A is located at the intersection of angle θ and the unit circle.
What are the exact coordinates of point A?
Use the on-screen keyboard to type the answer in the box below.
https://imgur.com/a/UwbnsCV
Answer:
1/2,
Step-by-step explanation: Please find the attached image of unit circle.
We have been given that the measure of angle t is 60 degrees. We are asked to find the x-coordinate of the point where the terminal side intersects the unit circle.
We know that x-coordinate on unit circle represents cosine and y-coordinate represents sine of a given angle.
We can see from our attachment that x-coordinate of the point at angle 60 degrees is , therefore, x-coordinate of the angle of 60 degrees, where the terminal side intersects the unit circle is .
Two gamblers, call them Gambler A and Gambler B flip a coin repeatedly. The coin is unfair and comes up heads 2/3 of the time. Gambler A wins one dollar from Gambler B, when a head is tossed. Conversely Gambler B wins one dollar from Gambler A when a tail is tossed. The coin tosses are independent. The game ends when one of the gamblers runs out of money. There are 5 dollars in the pot. Determine the probability that Gambler A wins the game if he starts with I dollars. Here I
Answer:
≈ 0.52
Step-by-step explanation:
P( head ) = 2/3 , P( tail ) = 1/3
when a head is tossed ; Gambler A wins $1
when a tail is tossed : Gambler B wins $1
Determine the P( Gambler A wins the game ) if he starts with I dollars
Assuming I = $1
n = 5
p ( head ) = P( winning ) = 0.66
p( losing ) = 0.33
applying the conditional probability in Markov which is ;
Pₓ = pPₓ₊₁ + (1 - p) Pₓ₋₁
P( 1) = 0.66P₂ + 0.33P₀
resolving the above using with Markov probability
P( 1 ) = 0.51613
hence the probability of Gambler A winning the game if he starts with $1
≈ 0.52
In London today, twice the low temperature was less than three times
the low temperature minus ten. In interval form, what are the possible
temperatures?