Answer:
The pvalue of the test is 0.017 > 0.01, which means that there is not convincing evidence that the mean time behind the whell for all U.S drivers is less than 51 minutes.
Step-by-step explanation:
U.S. drivers spend on average, 51 minutes behind the wheel each day.
This means that at the null hypothesis we test that:
[tex]H_{0}: \mu = 51[/tex]
Is there convincing evidence that the mean time behind the wheel for all U.S. drivers is less than 51 minutes?
This means that the alternate hypothesis is:
[tex]H_{a}: \mu < 51[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
51 is tested at the null hypothesis:
This means that [tex]\mu = 51[/tex]
The study revealed that the mean time behind the wheel for the sample of 75 drivers was 46.4 minutes with a standard deviation of 18.8 minutes.
This means that [tex]n = 75, X = 46.4, \sigma = 18.8[/tex]
Value of the test-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{46.4 - 51}{\frac{18.8}{\sqrt{75}}}[/tex]
[tex]z = -2.12[/tex]
Pvalue of the test:
The pvalue of the test is the probability of finding a sample mean less than 46.4, which is the pvalue of z when X = 46.4.
Looking at the z-table, z = -2.12 has a pvalue of 0.017.
Decision:
The pvalue of the test is 0.017 > 0.01, which means that there is not convincing evidence that the mean time behind the whell for all U.S drivers is less than 51 minutes.
No, there isn't convincing evidence that the mean time behind the wheel for all U.S. drivers is less than 51 minutes.
Given the following data:
Mean = 51.Number of drivers = 75 drivers.Sample mean (mean time) = 46.4 minutes.Standard deviation = 18.8 minutes.What is a null hypothesis?A null hypothesis ([tex]H_0[/tex]) can be defined the opposite of an alternate hypothesis ([tex]H_a[/tex]) and it asserts that two (2) possibilities are the same.
For the null hypothesis, we would test that:
[tex]H_o : \mu =51[/tex]
For the alternate hypothesis, we would test that:
[tex]H_a : \mu < 51[/tex]
The test statistics would be calculated with this formula:
[tex]Z=\frac{x\;-\;u}{\frac{\delta}{\sqrt{n} } }[/tex]
Where:
x is the sample mean.u is the mean.[tex]\delta[/tex] is the standard deviation.n is the number of drivers.Substituting the given parameters into the formula, we have;
[tex]Z=\frac{46.4\;-\;51}{\frac{18.8}{\sqrt{75} } }\\\\Z=\frac{-4.6}{\frac{18.8}{8.6603} }\\\\Z=\frac{-4.6}{2.1708 }[/tex]
Z = -2.12.
What is a p-value?In Statistics, a p-value also known as the probability value is the probability which occurs when the null hypothesis ([tex]H_0[/tex]) is true of obtaining a sample mean that is at least as unlikely as what is observed by a researcher or scientist.
From the z-table, a z-score of -2.12 corresponds to or has a p-value of 0.017. Therefore, the p-value for this test is 0.017 > 0.01.
In conclusion, there isn't convincing evidence that the mean time behind the wheel for all U.S. drivers is less than 51 minutes.
Read more on null hypothesis here: https://brainly.com/question/14913351
Kayli made 4 cups of soup for dinner. She ate 14 cups and her sister ate 11 cups. How much soup was left?
Answer:
-21 cups.
Step-by-step explanation:
4-14-11=-21
Last year Jacob’s total sales were $512,045. This year he increased his sales to $595,679. What is the increase in sales
Answer:
$83,634
Step-by-step explanation:
The computation of the increase in sales is shown below:
Given that
The total sales is $512,045
And, the increase his sales to $595,679
So based on the above information
The increase in sales is
= $595,679 - $512,045
= $83,634
Hence, the increase in sales is $83,634 that means the sales would be increased by $83,634
The same should be considered and relevant
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
ang(HIK) AND ang(GFD)
Find the missing side of this right
triangle.
13
8
х
x = [?]
Enter the number that belongs in the green box.
Answer: x=233
Step-by-step explanation:
The missing side of this right triangle will be 10.25. The given triangle is a right-angled triangle.
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees, then we have:
|AC|² = |AB|² + |BC|²
13²=8²+ |BC|²
|BC|=10.25
The missing side of this right triangle will be 10.25.
Learn more about Pythagoras theorem refer:
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Can someone answer this? I’ll give points + brainalist
Clue is a board game in which you must deduce three details surrounding a murder. In the original game of Clue, the guilty person can be chosen from 6 people, and there are 6 different possible weapons and 9 possible rooms. At one point in the game, you have narrowed the possibilities down to 4 people, 5 weapons, and 7 rooms. What is the probability of making a random guess of the guilty person, murder weapon, and location from your narrowed-down choices, and the guess being correct? Enter a fraction or round your answer to 4 decimal places, if necessary.
Answer:
the required probability is 0.0071
Step-by-step explanation:
Given the data in the question;
we have narrowed the possibilities down to 4 people, 5 weapons, and 7 rooms.
so total number of combinations for the narrowed down metrics is computed as follows;
using multiplication rule:
⇒ 4 × 5 × 7 = 140 ways
Now, the probability of making a random guess from our narrowed down choices as well as getting the guess correct will be;
⇒ 1 / 140
{ assuming that the narrowed down choices have within it the correction combination }
= 0.007142 ≈ 0.0071 { four decimal place }
∴ the required probability is 0.0071
Ethan earns $12 per hour for walking Ms. Barns's two dogs, plus an additional $7 for brushing the dogs after their walk.
→ Let x represent the hours Ethan works.
→ Let y represent the total he earns each day.
Which number sentence best represents this situation?
A. 12 + 7 + 2 = y
B. 12x · 2 + 7 = y
C. 12x + 7 = y
D. 12x - 7 = y
Answer:
i think the answer is C. 12x+7=y :)
Step-by-step explanation:
album sells for 7 percent sales tax and 10 percent off what is the total price including tax
Answer:
Are you trying to find the price before the discount and tax?
Step-by-step explanation:
Also, what album are you buying? Lol
P.S. I'll change my answer when I understand.
Answer:
You didn’t give us the price of the album, but multiply it by 0.1 then subtract that form the original price then multiply that number you got by 0.07 and that on to the number you got from the number after the 10% discount
Step-by-step explanation:
What do you call a large, round body that revolves around the sun?
A. Asteroid
B. Comet
C. Moon
D. Planet
Answer:
Planet
Step-by-step explanation:
Because the earth is an planet and it revolves around the sun,
Revolve: revolve means for a smaller object to go around a larger object
in this case its the planet and the sun
hope this helped good luck!!!
Answer:
It is D. i took the test
Step-by-step explanation:
A baker uses 5 cups of flour to make 75 cookies. Using this same ratio, how many cups of flour will be needed for 45 cookies? Use the ratio table given to solve the problem.
Answer:
Since, the baker use 5cups for 75cookies.Then for 30 cookies number of cups=
=75/5
=15.
Therefore no. 1cups for 15cookies.so,for 30 cookies=
=15*2
=30.
So, 2cups are needed for 30cookies
Solve and check. All steps must be shown.
5x + 15 = 75 - 25x
Answer:
X = 3
Step-by-step explanation:
Answer:
= 2
Step-by-step explanation:5x+15=75-25x
We move all terms to the left:
5x+15-(75-25x)=0
We add all the numbers together, and all the variables
5x-(-25x+75)+15=0
We get rid of parentheses
5x+25x-75+15=0
We add all the numbers together, and all the variables
30x-60=0
We move all terms containing x to the left, all other terms to the right
30x=60
x=60/30
x=2
Joanna runs at an average speed of 7.5km/h. She runs 15km every day. What time did
she leaves her house if she arrives back at 8:30 am after her morning run?
Answer:
She might of left her home around 8:00 possibly.
Step-by-step explanation:
Hopefully this helps you.
Please give me brainliest if it is correct.
Thank you xx
Which combination of shapes can be used to create the 3-D figure?
-Two regular pentagons and have congruent rectangles
-Two regular decagons and 10 congruent squares
-Two regular pentagons and five congruent squares
-Two regular decagons and 10 congruent rectangles
The combination of shapes that can be used to create the 3-D figure is; Two regular decagons and 10 congruent rectangles.
What combination of shapes can be used to create the 3-D figure?From observation of the task content, if follows that the top section of the 3-D figure is a decagon (a regular polygon of 10 sides).
Hence, two decagons are needed and 10 congruent rectangles used which represents the height of the figure are needed.
Read more on polygon;
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Answer: D
Step-by-step explanation:
well cause they look like rectangles and then they have two of those things on the top and bottom ill comment on my question if I get it right, not to mention if u count the sides of the figure you'll see that they're is 10 of them lol
D: Two regular decagons and 10 congruent rectangles
couldn't comment on it but I got it right lol have a good day!
3people equally share 4 oranges. How many oranges
does each person get?
Answer:
[tex]1\frac{1}{3}[/tex]
Step-by-step explanation:
4/3=[tex]1\frac{1}{3}[/tex]
Answer:
4 divided by 3 = about 1.33
Step-by-step explanation:
fraction form is 1 1/3
HELP PLEASE !!!!!!!!!!
Answer:
cccccccc
Step-by-step explanation:
What is the measure of angle ABC ?
Answer:
C
Step-by-step explanation:
Calculate sales tax using the following information: Taxable amount of the sale: $ 189 Sales tax percentage: 6 % What is the amount of the sales tax? Round the answer to the nearest cent (hundredths).
Answer:
$11.34
Step-by-step explanation:
6% of $189 =
= 0.06 * $189
= $11.34
The 4th grade is planting a garden for a fundraiser at school. The garden has an area of 56 square feet. The length of one side is 7 feet. What is the width of the garden?
A. 56 feet
B. 7 feet
C. 8 feet
D. 49 feet
HELP PLEASE THIS IS A TEST FOR NEXT YEARS CLASS
A jewelry store sells charm sets that each contain three heart charms and c character charms. After buying several of these sets as gifts from the store, Mrs. Thompson had a total of 20 charms.
Which expression represents the number of charm sets Mrs. Thompson bought?
A. 20 / (3 + c)
B. 20 x 3 + c
C. 20 / 3 + c
D. 20 x (3 + c)
Answer:
20 / (3 + c)
Step-by-step explanation:
quick its timed will give brainlyist
Which of the following units of measure would you use to find the amount of watermelon juice in a carton?
A. cups
B. yards
C. ounces
D. meters
Answer:
:::::::::::::::::::
c
Answer:
C ounces
Step-by-step explanation:
please mark me as brainiest please I didn't get any brainiest
Find the surface area of the square pyramid
Find the equation of the line which passes through (0, 7) at a gradient of 3.
Answer:
y = 3x + 7
Step-by-step explanation:
Here, line is passing through the point (0, 7). It's x-coordinate is 0 and y-coordinate is 7
So, y-intercept (b) = 7
Gradient (or slope m) = 3
Equation of line in slope intercept form is given as:
y = mx + b
Plugging m = 3 and b = 7 in the above equation, we find:
y = 3x + 7
This is the required equation of line.
The Smith family went out to dinner.
The meal cost $65.56.
The sales tax is 2.5% of the meal.
The tip was 18% of the meal and the tax.
There are 6 people in the Smith family.
What was the cost per person for the meal, including sales tax and tip?
Answer:
13.22
Step-by-step explanation:
Help me guys pleased and thank you
Answer:
#5Area of side faces:
A = 2(18 + 14)*14 = 896 cm²Area of bottom face:
A = 18*14 = 252 cm²Area of 2 triangular faces:
A = 16*14 = 224 cm²The height of the remaining triangular faces:
h² = 16² - (18/2)² + (14/2)² = 224h ≈ 15 cmThe area of 2 triangular faces:
A = 15*18 = 270 cm²Paper needed:
896 + 252 + 224 + 270 = 1642 cm²#6Let the perimeter of the base is P.
If the height is increased by 1.5 cm then surface area is increased by:
1.5PHelp help help help help help
Answer:
More than for the first box and less than for the second.
Mrs. Okafor had $475 in her savings account. Each year, the value of the savings account increases
by 4%. How much money does she have in her account after 1 year?
Write an equation to represent the problem. Use b to represent the amount Mrs.
Okafor has in her account after 1 year.
Answer:
$475 + 4% (19 percent) = $494 a year.
Step-by-step explanation:
Consider a square and a regular hexagon (a six-sided figure with sides of equal length). One side of the square is 19 feet longer than a side of the hexagon, and the two figures have the same perimeter. What are the lengths of the sides of each figure?
Answer:
square side = 57
hexagon side = 38
Step-by-step explanation:
x = side length of square
y = side length of hexagon
x = y + 19
4x = 6y
substitute for x:
4(y + 19) = 6y
4y + 76 = 6y
subtract 4y from each side of the equation:
2y = 76
divide both sides by 2:
y = 38
x = 57
Answer:
Hi there,
Make the side of the hexagon = x
Side of square = x + 12
Both figures have the same perimeters.
4(x + 14) = 6x
4x + 56 = 6x
Collect like terms:
6x - 4x = 56
2x = 56
x = 28
Length of hexagon side = 28 feet
Length of square side = 42 feet
Hope this helps :-)
BRAINLIEST FOR CORRECT ANSWER ASAP
Answer:
● equivalent
Step-by-step explanation:
○ equivalent
Answer:
the base is the answer 4
[tex] {42}^{2} [/tex]
Step-by-step explanation:
42 is the base
PLEASE HELP BOTS HAVE BEEN COMMENTING ON MY POSTS ALL DAY I NEED AN REAL ANSWER PLEASE IM DEPERATE
Normally I would do a 100 point give away but I'm feeling sad today D: Please help cheer me up. I might think about doing a 100 point giveaway
P.S. Brainly Moderators, don't delete this, I need help, what's 1+1???
1 + 1 = 2
At first, I thought that the 1 and the other 1 meant a ten and a one, so I decided it would be 11. But soon, a classmate of mine told me it was 25. I divided it with 1 and it is divisible! And since division is also changing the numbers, I figured it would be correct that it is 25. But as I worked it out, I realized that the answer was 2. Because if you put 1 stick and add another 1, you will get 2
Hope it helped!