Answer:
Alternative hypothesis is that Worker productivity is higher with automatic dispensers.
The Rank for Group1 is 115.5 and Group 2 is 55.5.
Conclusion is that Worker productivity is higher with automatic dispensers.
Step-by-step explanation:
The null and alternative hypotheses are
H0: Group1 ≤ Group2 against the claim
Ha: Group1 > Group2
Alternative hypothesis is that Worker productivity is higher with automatic dispensers.
Calculations:
Group1 Group2
Sample Mean x ` 139.22 114.67
Sample size n 9 9
Sample SD 18.21 11.937
Rank 115.5 55.5
U 10.5 70.5
The Rank for Group1 is 115.5 and Group 2 is 55.5.
1. H0 hypothesis
As p-value < alpha and Z lies in the critical region, H0 is rejected.
The randomly selected value of Group1's population is considered have greater productivity than the randomly selected value of Group2's population.
2. P-value
The p-value equals 0.0046.
3. Test statistics
Z= u-μ+c/σ
The critical region for one tailed test for z at 0.01 significance level is
z > 2.33.
The test statistic Z equals 2.6063, which lies in the critical region of acceptance z> 2.326
4. Conclusion
As the calculated test statistic lies in the critical region H0 is rejected and it is concluded that
Worker productivity is higher with automatic dispensers.
Practice solving roblems involving the volume or
cylinders, cones, and spheres.
Ant
What is the volume of the sphere in terms of r?
V=
IT in 3
6 in
Done
Answer:
V = 4.187r³
Step-by-step explanation:
Volume of a sphere is expressed using the formula;
V = 4/3πr³
r is the radius
Substitute π = 3.14 into the formula
V = 4/3 * 3.14r³
V = 4.187r³
Hence the volume of a sphere in terms of the radius is V = 4.187r³
The formula S=C(1+r)^t models inflation, where C= the value today, r= the annual inflation rate (in decimal form), and S= the inflated value t years from now. If the inflation rate is 4%, use the formula to find out how much a house now worth $183,000 will be worth in 15 years. Round your answer to the nearest dollar.
Answer:
area = b+h / lengthxwidth
Step-by-step explanation:
if two parallel lines are cut by a transversal, then alternate interior angle are_______.
pa help po thank u
Answer:
if two parallel lines are cut by a transversal, then alternate interior angles are congruent
Segment AB has endpoints at A ( -3 , 6) and B (7 , -3).
What is the Midpoint of segment AB?
Therefore, the midpoint of segment AB is M (2, 3/2).
The midpoint formula is a method to determine the midpoint of a line segment.
To find the midpoint of a line segment, use the midpoint formula. In this case, the endpoints of the segment are A (-3, 6) and B (7, -3), and we need to find the midpoint.Point M is the midpoint of the segment AB. Let's find the x-coordinate of M first by applying the midpoint formula:
midpoint x-coordinate = (x1 + x2)/2
midpoint x-coordinate = (-3 + 7)/2
midpoint x-coordinate = 4/2
midpoint x-coordinate = 2
Now, let's find the y-coordinate of M by applying the midpoint formula:
midpoint y-coordinate = (y1 + y2)/2
midpoint y-coordinate = (6 + (-3))/2
midpoint y-coordinate = 3/2
For such more question on segment
https://brainly.com/question/280216
#SPJ8
A homeowner is replacing 4 solar modules at a cost of $6,200 for each solar module. She is going to get a discount of x dollars off each module. Write and expression that describes this situation and then simplify.
Answer:
[tex]C = 24800-4x[/tex]
Step-by-step explanation:
Given
[tex]Module =4[/tex]
[tex]Unit\ cost = \$6200[/tex]
[tex]Unit\ Discount = x[/tex]
Required
The expression for total discount
When the discount is applied, the cost (c) of 1 module is:
[tex]C = 6200-x[/tex]
For 4 modules, we have:
[tex]C = 4 * (6200-x)[/tex]
Open bracket
[tex]C = 24800-4x[/tex]
i really need help with this i beg you !!
Answer:
The perimeter and area of the square are 56 units and 196 square units, respectively.
Step-by-step explanation:
The inner right triangle represents a 45-45-90 right triangle, which has the feature of a hypotenuse whose length is [tex]\sqrt{2}[/tex] time the length of any of its legs. If the hypotenuse has a measure of [tex]7\sqrt{2}[/tex], then the legs of the triangle have a measure of [tex]7[/tex].
Now, we are aware that the side length of the square is twice the length of the leg of the right triangle. Then, side length of the square is 14 units long.
Lastly, we know from Geometry that the perimeter and area of the square are represented by the following expressions:
Perimeter
[tex]p = 4\cdot l[/tex] (1)
Area
[tex]A = l^{2}[/tex] (2)
Where [tex]l[/tex] is the side length of the square.
If we know that [tex]l = 14[/tex], then the perimeter and area of the square are, respectively:
[tex]p = 4\cdot (14)[/tex]
[tex]p = 56[/tex]
[tex]A = 14^{2}[/tex]
[tex]A = 196[/tex]
The perimeter and area of the square are 56 units and 196 square units, respectively.
HELP ME PLEASEEEEEEEEEEEEEEE
It would be 98 ft,
when you add all the numbers you would get 98, 21 + 7 + 6 + 21 + 15 + 28 = 98
This month, Bia earned $157.50 in commission. How much money, in dollars, did she have in sales?
Enter a number in the space provided
Answer:
Total sales made = $ 4500
Step-by-step explanation:
The complete question is
Bia earns a commission on the sales she makes each month. Within a month, Bia earns a 3% commission on the first $3000 she has in sales. She earns a 4.5 % commission on the amount of her sales that are greater than $3000 .This month, Bia earned in commission $157.50. How much money, in dollars, did she have in sales? Enter a number in the space provided.
Solution
3% of the total sales made is the commission on the first $3000 for Bia and on the remaining sum of money the profit made was
Thus,
3% of 3000 + 4.5% of (X -3000) = $157.50
On solving we get -
3% * 3000 + 4.5% * (X-3000) = $157.50
$90 + 4.5% * (X-3000) = $157.50
$90 + 0.045 X - $135 = $157.50
0.045 X = $157.50 + $135 - $90
X = 4500
Total sales made = $ 4500
Express 35 degrees into centesimal measure (grade, minute, second).[FULL PROCESS REQUIRED]
Answer:
sorreyyyy mateeeeee dont know the answer
What is the measure of ZGMII?
Answer:
answer is A
Step-by-step explanation:
50+90=140
180-140=40
brainliest plz
The ratio of pants to shots that John has is 2:3. If John has 8
pairs of pants then how many pants and shorts does he have?
Answer:
12 shirts
Step-by-step explanation:
Since John has 8 pants and 2 x 4 is equal to 8. Then you must multiply the number of shirts by 4 (3 x 4) to give you the number of shirts, which is 12.
Check:
2/3 is equivalent to 8/12
Hope this helps :)
Use synthetic division to evaluate f(x) = –2x^3+ 3x – 6 when x = -5.
Answer:
-131
Step-by-step explanation:
Use -5 in place of x
f(x) = –2x^3+ 3x – 6
f(x) = -2*-5^3+3*5-6
WILL GIVE BRAINIEST what is the sum of the interior angles of the polygon shown below.
Answer:
900
Step-by-step explanation:
(n-2)*180
5*180=900
Answer:
900°
Step-by-step explanation:
The polygon shown in the picture has 7 sides. The formula for finding the sum of interior angles of an n-gon is:
(n - 2)(180)
We can substitute in 7 for n to get the sum:
(7 - 2)(180)
(5)(180)
900°
please someone answer this question fast!
Answer:
100.05 in^2
Step-by-step explanation:
Area of parallelogram: base times height
=11.5 x 8.7=100.05 in^2
There are 6 seniors on the high school soccer team. Two of them will be chosen to be co-captains. How many ways are there to choose the co-captains? Decide if this is a permutation or a combination, and then find the number of ways to choose the co-captains.
A. Permutation; number of ways = 30
B. Combination; number of ways = 15
C. Combination; number of ways = 30
D. Permutation; number of ways = 15
Answer:
B. Combination; number of ways = 15
Step-by-step explanation:
Since order doesn't matter, this is a combination:
6 choose 2 = 6 nCr 2 = 6!/(6-2)!2! = 720/(24)(2) = 720/48 = 15
Therefore, there are 15 possible ways to choose 2 co-captains out of 6.
Combination; the number of ways = 15.
Option B is the correct answer.
What is a combination?It is an arrangement of a set of numbers from a total set where the order of the set is not relevant.
We have,
The problem involves selecting two seniors out of a group of six seniors, which is a combination problem.
The number of ways to choose two seniors out of six seniors is given by the formula:
C(6,2) = 6! / (2! * 4!) = 15
Therefore,
Combination; the number of ways = 15.
Learn more about combination here:
https://brainly.com/question/14355408
#SPJ5
Math problem please help me answer A and B
Answer:
a) [tex]\frac{19}{52}[/tex]
b) [tex]\frac{7}{52}[/tex]
Step-by-step explanation:
Total number of students = 52
Number of students who are democrats = 26
Number of students who are business majors = 12
Number of students who are business majors as well as democrats = 7
Now, lets come to the question.
a) Number of students who are democrats but not business majors =
(Number of democrats) - (Number of democrats as well as business majors)
⇒ 26 - 7
⇒ 19
∴ P (Democrat who is not a business major) = [tex]\frac{19}{52}[/tex]
b) Number of students who are neither democrats nor business majors =
(Total number of students) - (Number of democrats + Number of business majors + Number of democrats as well as business majors)
⇒ 52 - (26 + 12 + 7)
⇒ 52 - 45
⇒ 7
∴ P (Neither democrat nor business major) = [tex]\frac{7}{52}[/tex]
PLEASE HELP
3/4M -12 but m = 32
Answer:
Replace the variable m with 32
in the expression.
3/4⋅(32)−12 Simplify each term.
24−12 Subtract 12 from 24.
12
Step-by-step explanation:
12. The roots of a quadratic are x = -5 and x = 3.
Which of the following are possible factors of the
quadratic?
At the Silvermine Subs, they charge $5.75 for the basic sandwich and then $0.45 per ounce for the toppings. If Jordan paid for their sandwich with a $10 billhow many ounces of toppings could they have ordered?
Answer:
9.4 ounces
Step-by-step explanation:
this equation can be derived from the question
$5.75 + $0.45t = 10
where t = ounces of toppings
combine like terms
$0.45t = 10 - $5.75
$0.45t = $4.25
t = 4.25 / 0.45
t = 9.4 ounces
nana has a water purifier that filters 1/3 of the contaminates each hour
help please and thank you
Answer:
23,030
Step-by-step explanation:
Add you base price, keyless entry, engine cooling, read window defogger and destination charge together.
A network of electrical wires will be constructed so that each of the
six points on the board is directly connected to each other point by a piece
of wire. The diagram shows the board with points A, B, C, D, E, and F.
Answer:
D I just did this
Indicate the answer choice that best completes the statement or answers the question.
Write an equation for each problem. Then solve. Round to the nearest tenth if necessary.
30 is what percent of 60?
A 200%
ь. 50%
c. 90%
d 18%
Answer:
no.D) 18% is the answer of this question
Solve the equation
2x - 4(x-2) = -5 + 4x - 35
A six-pack of soda costs $1.69, a 12-pack of soda costs $3.99, and a 24-pack of soda costs $5.90. Which pack was the best deal?
Answer:
The 24 because it is suposed to cost 6.76 and it cost 5.90.
An investor invested a total of $2,700 in two mutual funds. One fund earned a 4% profit while the other earned a 2% profit of the investors total profit was $80 how much was invested in each mutual fund
Inverse Functions
Using a scientific calculator or graphing calculator find the inverse tangent of the ratio. Round to the nearest degree.
1
⁻
1
a. 45°
b. 90°
c. 0°
d. 1°
Please select the best answer from the choices provided
Answer:
A. 45°
Step-by-step explanation:
I calculated it logically
3. What is the measure of angle F? A 120° D G B A. 60 degrees. B. 90 degrees. C. 120 degrees. D. 180 degrees.
Answer:
120°
Step-by-step explanation:
The angles that has 120° is the same as angle E.
Angle E = 120°
Angle D = 180° - 120° = 60°
60° + Angle F = 180°
Angle F = 180° - 60°
Angle F = 120°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Please tell me the answer I need it now... please
Answer:
Your answer is C!
What is the surface area of the figure below?