Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion
There is no sufficient evidence to conclude that the vans underperform the manufacturer's MPG rating
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 46.4 \ miles/gallon[/tex]
The sample size is n = 140
The sample mean is [tex]\= x = 46.0[/tex]
The standard deviation is [tex]\sigma = 2.6[/tex]
The level of significance is [tex]\alpha = 0.02[/tex]
The null hypothesis is [tex]H_o : \mu = 46.4[/tex]
The alternative hypothesis is [tex]H_a : \mu < 46.4[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{ \= x - \mu }{ \frac{\sigma }{\sqrt{n} } }[/tex]
=> [tex]t = \frac{ 46 - 46.4 }{ \frac{ 2.6 }{\sqrt{140} } }[/tex]
=> [tex]t = -1.8203[/tex]
From the z table the area under the normal curve to the left corresponding to
-1.8203 is
[tex]P(Z < -1.820 ) = 0.03438[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = P(Z < -1.820 ) = 0.03438[/tex]
From the value obtained we see that the p-value > [tex]\alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion
There is no sufficient evidence to conclude that the vans underperform the manufacturer's MPG rating
Three six-sided dice are rolled, one red, one green, one blue. How many ways are there to roll the three dice so that two of the dice have the same value and the other die has a value smaller than the common value on the other two?
Answer:
15
Step-by-step explanation:
Given that:
Three six-sided dices are to be rolled.
The number of ways to have the same value on the two dices is:
{(1,1) ,(2,2) ,(3,3) ,(4,4) , (5, 5 ) ,(6 ,6) } = 6 ways
Thus; the objective is to determine the number of ways to a get smaller value on the third dice while the two other dice have the same value.
To get started:
The number of ways for getting a value smaller than 1 = 0
The number of ways for getting a value smaller than 2 = 1
{i.e. (2,2,1)}
The number of ways for getting a value smaller than 3 = 2
{ i.e. (3,3,1) ,(3,3,2) }
The number of ways for getting a value smaller than 4 = 3
{ i.e. (4,4,1) , (4,4,2), (4,4,3)}
The number of ways for getting a value smaller than 5 = 4
{i.e. (5 ,5,1) ,(5,5,2) ,(5,5,3), (5,5,4)}
The number of ways for getting a value smaller than 6 = 5
{i.e. (6,6,1), (6,6,2), (6,6,3), (6,6,4), (6,6,5) }
Thus, the total number of ways = 0 + 1 + 2 + 3 + 4 + 5 = 15
Therefore, the total number of ways getting the value same on two dices and smaller value on the third dice = 15
I need help with whole thing teacher is putting pressure on me and I have a 10 in her class
Answer:
So... for problem 15. im gonna help you and maybe you'll understand how to do it:) So the X axis is the horizontal line and the Y axis is the vertical line.
So when it says X -4
Y 5
Then the point would be at -4 on the horizontal line and 5 positive points on the Y axis (vertical line)
Step-by-step explanation:
I really hope this helps you its hard to describe over type:(
Good luck:))
Helen plans on reading 2 books this year. If there are 7 books on her reading list to choose from, how many different book
choice combinations are possible?
Provide your answer below:
Answer:
14
Step-by-step explanation:
what is There are fourteen whole snack bars on a plate. There are five friends.
Carl eats 2.5 snack bars.
Dave eats 2.7 snack bars.
Tony eats 2.5 snack bars.
Gary eats 2.0 snack bars.
Tyrone eats 2.3 snack bars.
Carl says he ate the most snack bars. Is Carl correct? There are no more snack bars on the plate. Gary looks at the snack bar pieces that each friend has left. Gary says they only ate a total of a dozen snack bars. How does Gary know that the friends only ate a total of a dozen snack bars? Show all your mathematical thinking.
Carl is incorrect. Dave ate a higher fraction of snack bars, by 0.2 snack bars.
Carl had .5 left of a snack bar.
Dave had .3 left of a snack bar.
Tony had .5 left of a snack bar.
Gary had .0 left of a snack bar.
Tryone had .7 left of a snack bar.
If we add the above snack bars, there is a total of two remaining snack bars, meaning they only ate 12 of 14 snack bars.
Brody deposited $500 into a savings account that earns 1% interest compounded annuall. He
makes no more deposits and no withdrawals. How much interest has Brody's account earned
after 2 years?
Answer:
he would get 10$
Step-by-step explanation:
if you divide 500 by 1 you get 5 times that by 2
2 QUESTIONS FOR DOUBLE POINTS!! 20 POINTS!!
Rylee bought a 5-kilogram can of peanuts for $4.50. What is the unit price?
A 20-ounce box of cereal costs $3.20. A 12-ounce box of cereal costs $1.80. Which box of cereal is the better buy?
Answer: The unit price is $0.90 per kilogram
Help ASAP plsssssssssssssssssssssss
Answer:
3/4
Step-by-step explanation:
This is because its going down by 3 and over by 4.
Answer:
12/20=3/5
Step-by-step explanation:
When looking at the picture, you can see that 12 out of 20 squares are shaded. That means that 12/20 are McIntosh apples. Simply that down to 3/5, and that is your answer!
Hope this helps! :)
2 1/2 times (-3 3/4)
Answer:
-9.375
Step-by-step explanation:
2 1/2 x (-3 3/4) = -9.375
Answer: [tex]-9\frac{3}{8}[/tex]
Step-by-step explanation:
4 3/8+1 1/4 simplified
Answer:
45/8 or 5 5/8
Step-by-step explanation:
hope this helped
I will give the BRAINIEST
jack works after school. Each day he earns a set amount, plus an hourly wage. Choose the linear function f Jack can use to determine his pay.
Answer:
It's f(x)=10x+8
Step-by-step explanation:
Because it says every hour not every half hour and the graph changes by 0.5 instead of 1 so m would equal 10
How will increasing the level of confidence without changing the sample size affect the width of a confidence interval for a population mean?
Answer:
The width of the confidence interval is going to be wider
Step-by-step explanation:
When we Increase the level of confidence without changing the sample size the width of the confidence interval is going to be affected in the following way;
The margin of error (M.E) is going to be larger or be increased. This increase is due to the fact that the critical value is going to increase. Then the increased margin of error would cause the width of the confidence interval to become wider.
This answers your question.
Solve 2x +2>10 quickly please
Answer:
x > 4
Step-by-step explanation:
2x+2>10 Subtract by 2 on both sides
2x>8 Divide by 2 on both sides
x>4
How did they figure out the answer was 4 for the fraction problem solving. There are 36 people in the Newtown Hiking Club. 2/3 of the club must vote yes if the club is to hike the Northern Trail. 20 people have voted yes. How many more yes votes are needed?
Answer:
Step-by-step explanation:
The lowest point on Earth is Challenger Deep, at the bottom of the Marina Trench: 35,797 feet below sea level. The highest point is the summit of Mount Everest: 29,029 feet above sea level. What is the distance, in feet, between Challenger Deep and Mount Everest? Explain your answer.
Answer:
Step-by-step explanation:
add the two together to get your answer of 64,826. the reason why you would is because the marina trench is represented as 35,797 with sea level being 0. so to find the difference you would do 29,029-(-35,797), or just add the two together
Answer:
100,623
Step-by-step explanation:
Please help me:) i will give brainliest to the right answer<3
Answer:
It does
Step-by-step explanation:
It does have a proportional relationship because if you try to find the relationship between the first two inputs and outputs, you can find that it is 21 (1 to 21, 21 divided by 1 would be 21) then if you use that relationship with the other numbers (times 21) you would get the same answer. For example in the second one, the two numbers are 2 and 42, 2 times 21 would equal 42. The next one would be 3 times 21 to equal 63 and etc.
Hope this Helps!!
What is 70% of 150?........
Answer:
105%
Step-by-step explanation:
I hope this helped.
Answer:
105
Step-by-step explanation:
iI just pulled up a percentage calculator...
What type of triangle can have one right angle?
Answer:
A right triangle and an isosceles
Step-by-step explanation:
Whoever answer it correctly will get brainliest. :)
If 44 customer brought bread,67 workers also brought bread. And there were 2 bread left. How many breads were there before any of them brought one?
Answer:
69
Step-by-step explanation:
What is the simplified version of this expression?
7(5x−1)
Answer:
35x-7
Step-by-step explanation:
Write an integer for the situation: a loss of 14 pounds
Answer:
-14
Step-by-step explanation:
A gain is usually a positive number, and a loss is usually a negative number.
Answer: -14
Answer:
-14
Step-by-step explanation:
this is a negative number
6. Write 3,047.092 in expanded form.
Answer:
3,047.092 =
3,000
+ 0
+ 40
+ 7
+ 0.0
+ 0.09
+ 0.002
Step-by-step explanation:
helen got a$7 reduction in the price of a pair of jeans that are normally $32 what is the approximate percent decrease in the price
Answer:
The percent decrease is approximately 21%.
Step-by-step explanation:
Someone help me with this please
Answer:
pretty sure it's B, its just really hard to see
Step-by-step explanation:
is it possible to build a triangle with lengths of 5 7 12
Answer:
No
Step-by-step explanation:
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Evaluate the expression 2(2+2y)
Answer:
Step-by-step explanation:
4 + 4y
Answer:
4 + 4y
Step-by-step explanation:
2 times 2 equals 4
2 times 2y equals 4y
4 plus 4y
1. Which number is divisible by 2, 3, 5, and 9? A. 1,640 B. 1,999 C. 2,430 D. 3,666
Answer:
C
Step-by-step explanation:
help with the question pls pls pls pls pls pls pls pls pls pls
Answer:
when
[tex]x\ge 0[/tex]
then
[tex]x\times \left|x\right|=x^{2}[/tex]
Step-by-step explanation:
As we know that
When x is positive
[tex]\left|x\right|=\:x[/tex]
As from the question,
[tex]x\ge 0[/tex]
so the expression will be:
[tex]x\times \left|x\right|=x\times x=x^2[/tex] ∵ [tex]x\ge 0[/tex] so [tex]\left|x\right|=\:x[/tex]
Therefore,
[tex]x\times \left|x\right|=x^{2}[/tex]
A car has 15 gallons of gas in its tank. The car travels 35 miles per gallon of gas. It uses 1/35 of gas to go 1 mile. How much gas dose the car use to 100 miles? Show your reasoning.
Answer:
um......I think 2 figure it out....
Step-by-step explanation:
A car has 15 gallons of gas in its tank. The car travels 35 miles per gallon of gas. It uses 1/35 of gas to go 1 mile.
six cats catch six mice in six minutes. how many cats are needed to catch 60 mice in 60 minutes
Answer:
10 cats
Step-by-step explanation:
If there are 10 cats, they all will catch 6 mice each, which means 60 mice in total. If they catch 6 mice in 6 seconds, that means they will catch 60 mice in 60 seconds. You need 10 cats to get this task done
The formula to convert degrees Farenheit to degrees Celsius is as follows:
C(x) = 5 (x – 32)
1. Use this function to convert 68°F to Celsius.
2. The inverse of this function would be used to convert degrees Celsius to Farenheit. Use the inverse function to convert 35°C to Farenheit.
3. Verify, using a composition of functions, that the Farenheit to Celsius and Celsius to Farenheit equations are inverses of each other.
Answer:
69 degrees farinhieght
