Using the t-distribution, it is found that:
a) Since the test statistic is greater than the critical value for the right-tailed test, it is found that there is enough evidence to conclude that significantly more electricity is used at the student center, on average, on weekdays than weekend days.
b) The 95% confidence interval for the difference in mean electricity use at the student center between weekdays and weekend days is (3.56, 33.18).
Item a:
At the null hypothesis, it is tested if there is no difference, that is, the subtraction is at most 0, hence:
[tex]H_0: \mu_1 - \mu_2 \leq 0[/tex]
At the alternative hypothesis, it is tested if there is difference, that is, the subtraction is positive, hence:
[tex]H_1: \mu_1 - \mu_2 > 0[/tex]
The standard errors are given by:
[tex]s_1 = \frac{32.07}{\sqrt{60}} = 4.14[/tex]
[tex]s_2 = \frac{43.29}{\sqrt{30}} = 7.9[/tex]
The distribution of the difference has mean and standard deviation given by:
[tex]\overline{x} = \mu_1 - \mu_2 = 112.63 - 94.26 = 18.37[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{4.14^2 + 7.9^2} = 8.92[/tex]
The standard deviation are given for the samples, hence, the t-distribution is used.
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 0[/tex] is the value tested at the hypothesis.
Hence:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
[tex]t = \frac{18.37 - 0}{8.92}[/tex]
[tex]t = 2.06[/tex]
The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.05 and 30 + 60 - 2 = 88 df is [tex]t^{\ast} = 1.66[/tex]
Since the test statistic is greater than the critical value for the right-tailed test, it is found that there is enough evidence to conclude that significantly more electricity is used at the student center, on average, on weekdays than weekend days.
Item b:
The interval is:
[tex]\overline{x} \pm t^{\ast}s[/tex]
Hence:
[tex]\overline{x} - t^{\ast}s = 18.37 - 1.66(8.92) = 3.56[/tex]
[tex]\overline{x} + t^{\ast}s = 18.37 + 1.66(8.92) = 33.18[/tex]
The 95% confidence interval for the difference in mean electricity use at the student center between weekdays and weekend days is (3.56, 33.18).
A similar problem is given at https://brainly.com/question/25812826
A container holds 4 gallons of lemonade. A large lemonade contains 16 ounces. How many large lemonades could a restaurant sell before they run out of lemonade?
Answer:
32 large lemonades
Step-by-step explanation:
4 gallons = 512 ounces
512 ounces / 16 ounces
= 32 large lemonades.
Please help I really need help
(40 points)
Match each theorem with its description.
1.
If two angles form a pair of vertical angles, then they are congruent.
2.
The sum of the measures of the interior angles of a triangle is 180°.
3.
If two sides of a triangle are congruent, then the angles opposite those sides are congruent
4.
The midsegment of a triangle is parallel to the third side and its length is one-half the length of the third side.
5.
If two parallel lines are intersected by a transversal, then corresponding angles are congruent.
6.
If two parallel lines are intersected by a transversal, then alternate interior angles are congruent.
7.
If two parallel lines are intersected by a transversal, then the alternate exterior angles are congruent
8.
If two parallel lines are intersected by a transversal, then the same-side interior angles are supplementary.
Match
Triangle Sum Theorem
Alternate Exterior Angles Theorem
Alternate Interior Angles Theorem
Same-Side Interior Angles Theorem
Corresponding Angles Postulate
Isosceles Triangle Theorem
Vertical Angles Theorem
Triangle Midsegment Theorem
Answer: Did you get it or do you still need help (which ones do you need help with)
Step-by-step explanation:
Solve 7,030 ÷ 3 using the division algorithm ?????????????????
Answer: 2,343.3333 repeating, or just 2,343 1/3
Step-by-step explanation:
If you divide, your answer comes out to be 2,343.3333 repeating or 2,343 1/3.
HELP WITH THESE 3 QUESTIONS (BRIANLIEST AND 50 POINTS) hint: question 1 is answered (NO LINKS)
Amos scored 100 points while playing 3 rounds of a game.
Round 1 : 30 points
Round 2 : 25 points
Round 3 : ?
How many points did he score in round 3?
Complete the steps to solve the problem
1. What do you need to solve for in this problem? Choose a variable to represent this unknown value. answer: Round 3 = x
x + 30 + 25 = 100
2. Using the variable you chose, write an equation to represent this situation. (Hint: You may want to put the number of points in each round on one side and the total number of points on the other.
3. Solve this equation to find how many points Amos scored in round 3. Show your work.
Answer:
45 points in round 3
Step-by-step explanation:
x + 30 + 25 = 100
combine like terms
30+25 = 55
x + 55 = 100
- 55 - 55
--------------------
x = 45
therefore, Amos scored 45 points in round 3
hope this helps! :D
have a MIRACULOUS day, and brainliest is immensely appreciated!! <3
Answer:
x = 45 points
Round 3 : 45 points
Step-by-step explanation:
Starting Information:
100 points = 3 rounds
Round 1 : 30 points
Round 2 : 25 points
Round 3 : x
Subtraction:
To find x we need to subtract 30 and 25 from 100
100 - 25 - 30 = x points
Combine -30 and -25 into -55
100 - 55 = x
100 - 55 = 45
In round 3 he scored 45 points
Addition:
To find x we need to add 30 + 25 + x and get a sum of 100
25 + 30 + x = 100
Combine 25 and 30
55 + x = 100
Subtract 55 from each side
x = 45
Here are the 2 expressions I used:
25 + 30 + x = 100
100 - 25 - 30 = x
Note:
My work is not number assigned but hopefully you can understand it :)
Calculate the area of the quarter circle estimate using 3.14 for pi
(Please do say click this link for the answer and I didn’t mean to click that answer)
The area of the quarter circle with radius 3ft is [tex]7.065 ft^2[/tex]
Area of a quarter circle is given by the formula:
[tex]Area = \frac{\pi r^2}{4}[/tex]
Where r represents the radius of the circle
In the quarter circle shown, the radius, r = 3 feet
π = 3.14
Substitute π = 3.14 and r = 3 into the formula [tex]Area = \frac{\pi r^2}{4}[/tex]
[tex]Area = \frac{3.14 \times 3^2}{4}\\\\Area = \frac{3.14 \times 9}{4}\\\\Area = \frac{28.26}{4}\\\\Area = 7.065 ft^2[/tex]
The area of the quarter circle with radius 3ft is [tex]7.065 ft^2[/tex]
Learn more here: https://brainly.com/question/25843249
equation where slope = 7/2 and y-intercept is -15
Answer:
y = 7/2x - 15
Step-by-step explanation:
y = mx + b
if slope is 7/2, m= 7/2
y = 7/2x + b
if y-intercept is -15, y = -15, x = 0
-15 = 7/2(0) + b
b = -15
then
y = 7/2x - 15
my Christmas present to you
merry Christmas to you!
Find the component form of a vector.
Answer:
b
Step-by-step explanation:
A simple random sample of 85 is drawn from a normally distributed population, and the mean is found to be 146, with a standard deviation of 34. Which of the following values is outside the 99% confidence interval for the population mean? Use the table below to help you answer the question. Confidence Level 90% 95% 99% z*-score 1. 645 1. 96 2. 58 Remember, the margin of error, ME, can be determined using the formula M E = StartFraction z times s Over StartRoot n EndRoot EndFraction. The value of 135 because it is not greater than 136. 5 the value of 137 because it is greater than 136. 5 the value of 138 because it is less than 153. 2 the value of 154 because it is greater than 153. 2.
The correct option is ''The value of 135 because it is not greater than 136.5 values is outside the 99% confidence interval for the population mean''
Given that,A simple random sample of 85 is drawn from a normally distributed population, and the mean is found to be 146, with a standard deviation of 34.
We have to find,Which of the following values is outside the 99% confidence interval for the population mean?
According to the question,A simple random sample of 85 is drawn from a normally distributed population, and the mean is found to be 146, with a standard deviation of 34.
Sample space n = 85,
Mean = 146
And standard deviation = 34
Then, The standard error of the sample is,
[tex]= \dfrac{\sigma}{n}\\\\= \dfrac{34}{\sqrt{85}}\\\\= \dfrac{34}{9.21}\\\\= 3.6[/tex]
Then, z-critical value for 99% is 2.58,
Margin of error = ±9.515
Confidence interval for lower bound is,
= 146 - 9.515 = 136.485
And confidence interval upper bound is,
= 146 + 9.515 = 155.515
Here, 135 is less than the lower bound,
Therefore, 135 does not lie within a 99% confidence interval.
For more details about Lower bound refer to the link given below.
https://brainly.com/question/15974739
Answer:
Answer is
the value of 135
Step-by-step explanation:
just in case some of u have different lettered answers your A may be C so i just give the numerical answer lol its easier
hello, please answer
if
[tex] \frac{a}{b} = \frac{c}{d} = \frac{2}{5} [/tex]
then what is the answer of
[tex] \frac{a + 3c + 4}{b + 3d + 10} [/tex]
Step-by-step explanation:
Given,
a/b = c/d = 2/5
=> a + 3c + 4/b + 3d + 10
=> (a/b) + (3c/3d) + (4/10)
=> 2/5 + 3(c/d) + 4/10
=> 2/5 + 3(2/5) + 4/10
=> 2/5 + 6/5 + 2/5
=> 2 + 6 + 2/5
=> 10/5
=> 2
similar statement of √111
Pls help
what is 0.1 is 1/10 of what number???
Answer: 0.1 is 1/10 of 1.
Step-by-step explanation:
Three men can build a wall in 8 days. How long will it take them if they have the help of 2 boys? Assume that each boy works half as fast as each man.
Uhmm I think around 70 days or 90
I'm not sure
Answer:
6 days
Step-by-step explanation:
1 boy workload = 1/2 1 man workload
2 boys workload = 1/2*2 = 1 man workload
so 3 men + 2 boys workload = 4 men workload
3 men ..... 8 days ... 24man-days to build
4 men ..... x days ... 24man-days to build
x=24/4=6
a. Four friends each bought a ticket and a bag of popcorn. How
much total money did they spend?
Answer:
TICKET = $8.50POPCORN =$5.25Total money did they spent :- $8.50 + $5.25 = $13.75Step-by-step explanation:
Hope this helps you !!for example :
ticket = $5popcorn = $3each person spends = $(5+3)
=$8
four people = 8 × 4 = $32
hope it helps...!!!
Help Me on this math equation
Answer:
uhhhh what grade level is dis?
Step-by-step explanation:
the slopes of a quadrilateral are -1/2, 3/2, -1/2, and 3/2. What conclusion about this shape cam be made.
The conclusion that can be made given the slopes of the quadrilateral is that: since the slopes of the opposite sides are equal, the opposite sides are parallel, therefore the quadrilateral is a parallelogram. (Option A is correct).
Recall:
The slopes of the opposite sides of a parallelogram are always parallel.When two lines have a slope that is equal, the lines are said to be parallel to each other.The slopes given shows are:
-1/2, 3/2, -1/2, and 3/2
This implies that the quadrilateral has two pairs of equal sides that are parallel to each other.
Therefore, the conclusion that can be made given the slopes of the quadrilateral is that: since the slopes of the opposite sides are equal, the opposite sides are parallel, therefore the quadrilateral is a parallelogram. (Option A is correct).Learn more about parallelogram on:
https://brainly.com/question/3050890
Please help me :)
ty ty
Answer:
the slope is stepper and the line is shifted up
Which of the following choices is equivalent to the question 5(2x-1)=5(2x-1)=5(5x-14)?
2x- 1=5x-14
5(2x-1)=5x-14
2x-1=5
None of these choices are correct
Answer:
None of these choices are correct
Find the area of a garden with a length of 3 1/2 yards and a width of 2 2/3 yards
Answer:
2.33 yards
Step-by-step explanation:
3 1/2-3.5
2/3-0.66
0.66 x 3.5 = n
Write the standard form of a polynomial functions whose zeros/roots are
4-3i, 4+3i
and has a lead coefficient of 1
Answer:
In other words, x = r x = r is a root or zero of a polynomial if it is a solution to the equation P (x) =0 P ( x) = 0.
Step-by-step explanation:
Need help ASAP PLEASEEEEE
PLEASE DONT DELETE YOUR ANSWER THIS IS REALLY IMPORTANT !! :(
Answer:
(a) (4, -6)
Step-by-step explanation:
Try the values in the inequality and see which gives a true statement.
a) -3(4) +6 ≥ 5(-6) ⇒ -6 ≥ -30 . . . . true for (4, -6)
b) -3(2) +6 ≥ 5(3) ⇒ 0 ≥ 15 . . . . FALSE for (2, 3)
c) -3(-1) +6 ≥ 5(10) ⇒ 9 ≥ 50 . . . . FALSE for (-1, 10)
d) -3(6) +6 ≥ 5(-2) ⇒ -12 ≥ -10 . . . . FALSE for (6, -2)
Of course, if you're expecting only one right answer, you can stop after you found it.
9 plus 10 equals?
A. 21
B. 21
C. 19
D. 21
Answer:
C 19
Step-by-step explanation:
Answer:
[tex]9+10=19[/tex]
I'm confused, please help me, I'm unsure about what is the difference from multiplication and division. could someone maybe explain please?
Answer:
Step-by-step explanation:
Multiplication is a see also of division. Division is a see also of multiplication.
As nouns the difference between division and multiplication is that division is (uncountable) the act or process of dividing anything while multiplication is (uncountable|mathematics) the process of computing the sum of a number with itself a specified number of times, or any other analogous binary operation that combines other mathematical objects
Sophia and her brother combined to read a total of 40 books over the summer. Sophia read four times as many books as her brother. How many books did each person read? show work please
Answer:
Sophia read 32 books and her brother read 8
Step-by-step explanation:
Represent Sophia as 4x and her brother as x
4x + x = 40
5x = 40
x = 8
Therefore, her brother read 8 books and Sophia read 32 books
Which is the best example of a down payment?
A. Margo leases an apartment and pays $500 cash as a security deposit when she moves in.
B. Robby pays 10 percent cash up front and gets a loan for the
remaining 90 percent of the cost of a condominium.
C. Billy orders a piano, pays half the cost up front, and has to pay the other half when the piano is delivered.
D. Jan signs a cell phone plan that includes a little of the cost of her new phone as part of her bill every month.
The best example of a down payment is given as follows:
C. Billy orders a piano, pays half the cost up front, and has to pay the other half when the piano is delivered.
What is the down payment of a purchase?The down payment of a purchase is when a part of the purchase is paid when the purchase is made, and the other part(subjected to interest or not), is paid later.
In this problem, the example of a down payment is given by option C.
More can be learned about down payments at https://brainly.com/question/1698287
#SPJ1
Answer:
B. Robby pays 10 percent cash up front and gets a loan for the remaining 90 percent of the cost of a condominium
Step-by-step explanation:
i just did it
Only like 5 or 6 more questions for the last question I’m doing 100 points
Answer:
700 foundations is the answer
Answer:
500 foundations
Step-by-step explanation:
30 points! "A triangle with the side lengths of these numbers can not exist: 9, 3, and __?"
Answer:
A triangle with the side lengths of these numbers can not exist: 9,3 and 6
Step-by-step explanation:
hope it helps
Step-by-step explanation:
Let the third side be x
We know that
Sum of two sides of a triangle must be greater than the third side
So,
9 + 3 > x
12 > x (1)
Also, difference of two side of triangle must be smaller than the third side
9 - 3 < x
6 < x (2)
From 1 and 2 we concluded
6 < x < 12
The length of third side would lie between 7 to 11
Woodbury Middle School has 270 girls and Valley Middle School has 206 girls. Which school has
a greater percentage of girls? Determine the percentage for each school.
Woodbury Middle School has a greater percentage of girls, as it has 56.72% against 43.28% of Valley Middle School.
Given that Woodbury Middle School has 270 girls and Valley Middle School has 206 girls, to determine which school has a greater percentage of girls, the following calculation must be performed:
270 + 206 = 476 476 = 100 270 = X 270 x 100/476 = X 56.72 = X
Therefore, Woodbury Middle School has a greater percentage of girls, as it has 56.72% against 43.28% of Valley Middle School.
Learn more about maths in https://brainly.com/question/25901815
-5(c-4)=
a*-20-5c
b*20-5c
c*20+5c
???????
Answer:
b
Step-by-step explanation:
distributive property-
-5c-(-20) which is -5c+20 which can also be 20-5c
Please help me solve this problem ASAP