Answer:
It can be concluded that at 5% significance level that there is no difference in the amount paid by chain A and chain B for the job under consideration
Step by Step Solution:
The given data are;
Chain A 4.25, 4.75, 3.80, 4.50, 3.90, 5.00, 4.00, 3.80
Chain B 4.60, 4.65, 3.85, 4.00, 4.80, 4.00, 4.50, 3.65
Using the functions of Microsoft Excel, we get;
The mean hourly rate for fast-food Chain A, [tex]\overline x_1[/tex] = 4.25
The standard deviation hourly rate for fast-food Chain A, s₁ = 0.457478
The mean hourly rate for fast-food Chain B, [tex]\overline x_2[/tex] = 4.25625
The standard deviation hourly rate for fast-food Chain B, s₂ = 0.429649
The significance level, α = 5%
The null hypothesis, H₀: [tex]\overline x_1[/tex] = [tex]\overline x_2[/tex]
The alternative hypothesis, Hₐ: [tex]\overline x_1[/tex] ≠ [tex]\overline x_2[/tex]
The pooled variance, [tex]S_p^2[/tex], is given as follows;
[tex]S_p^2 = \dfrac{s_1^2 \cdot (n_1 - 1) + s_2^2\cdot (n_2-1)}{(n_1 - 1)+ (n_2 -1)}[/tex]
Therefore, we have;
[tex]S_p^2 = \dfrac{0.457478^2 \cdot (8 - 1) + 0.429649^2\cdot (8-1)}{(8 - 1)+ (8 -1)} \approx 0.19682[/tex]
The test statistic is given as follows;
[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{S_{p}^{2} \cdot \left(\dfrac{1 }{n_{1}}+\dfrac{1}{n_{2}}\right)}}[/tex]
Therefore, we have;
[tex]t=\dfrac{(4.25-4.25625)}{\sqrt{0.19682 \times \left(\dfrac{1 }{8}+\dfrac{1}{8}\right)}} \approx -0.028176[/tex]
The degrees of freedom, df = n₁ + n₂ - 2 = 8 + 8 - 2 = 14
At 5% significance level, the critical t = 2.145
Therefore, given that the absolute value of the test statistic is less than the critical 't', we fail to reject the null hypothesis and it can be concluded that at 5% significance level that chain A pays the same as chain B for the job under consideration
Solve
9+1/5b=3/10b
what is b
Answer:
b = 90
Step-by-step explanation:
Answer:
[tex] \huge\sf \colorbox{pink}{hey \: there}[/tex]
Step-by-step explanation:
[tex] \underline \red{given:- \: 9 \frac{1}{5b} = \frac{3}{10b} }[/tex]
[tex]b = 70[/tex]
Which equation can be used to find A, the area of the parallelogram shown? A = 5 × 9 A = 4 × 9 A = 12 × 5 × 9 A = 12 × 4 × 9
Answer:
I believe it's A=5 times 9 but since the triangle is special (3-4-5), it could be 12 times 5. Hope this kinda help :)
For each value of u , determine whether it is a solution to 23=4u-1 .
Answer:
6
Step-by-step explanation:
Transposition
23+1=4u
24=4u
Divide both side by 4
u=6
8th grade math, pls explain if you can.
Answer:
137.44 units^3
Step-by-step explanation:
Solve for a.
−10 = 1/5 a
Solve for n.
3(n – 8) = -12
Solve for x.
8 + 4x = -16
• You order 4 chicken sandwiches and a hamburger. The cost of a hamburger is $2.50 and the total bill is $14.30. Find the cost of a chicken sandwich
part 1 of the word problem
Verbal Model:
part 2 of the word problem
Algebraic Equation:
please with all equations show your work.
Step-by-step explanation:
for the first one multiply the equation by 5
5(-10)=5(1/5)a
-50=a
2. 3(n-8)=-12
divide the equation by 3
(3(n-8))/3=-12/3
(n-8)=-4
add 8 to both sides
n-8+8=-4+8
n=4
3. 8+4x=-16
subtract the whole equation by 8
-8+4x=-16-8
4x=-24
divide the equation by 4
4x/4=-24/4
x=-6
4. 4 chicken sandwiches at $2.50 each, to find the value of all the values for all 4 sandwiches is 4(2.50)=10
and since there is only one hamburger you just need to find the value for the one burger which is x.
4(2.50)+1(x)=14.30
10+x=14.30
subtract the equation by 10
10-10+x=14.30-10
x=4.30
Hope this helps :)
Answer:
thanks Thankyou for points ty ty
using the table find the value of y when x=2
Answer:
y = 8 when x = 2
Step-by-step explanation:
y = 4x
An amusement park sells 5 bottles of water for every
2 bottles of juice. In one hour, the amusement park
sells 20 bottles of water. How many bottles of juice
does the amusement park sell?
Answer:
8 bottles of juice
Answer:
8 bottles of juice
Step-by-step explanation:
if 5bottles of water = 2bottles of juices
20bottles of water =
20/5 = 4
4 * 2 = 8
Answer = 8bottles of juices
um what do i do here
Answer:
you add and subtract
Step-by-step explanation:
You need to match the sum/difference with the expression
Example -
A. 5x+2x 15x+2y (B)
B. 7x+8x+2y. 7x (A)
That's how you match it
Ryan earns $20 for every lawn that he mows.
Which set of ordered pairs represents the relationship between the number
of lawns Ryan mows and the money he earns?
Oa. (20,1),(40,2), (60, 3) Ob.(1, 20), (2, 40), (3, 60)
Oc. (0,20), (1, 40), (2, 60) Od. (1, 20), (2, 30), (3, 40)
Answer:
A is the correct answer
Answer:
B
Step-by-step explanation:
The first number should represent the lawns, and the second should represent the money he makes on each lawn.
A is incorrect because the numbers are swapped; Ryan does not earn one dollar for mowing 20 lawns.
C is wrong because if Ryan mows zero lawns, how can he make money. Although the multiplication is correct, it does not start at zero.
D is wrong because it is counting the price up by ten instead of adding 20.
B is right because every lawn is 20 more dollars, and that is what is shown.
PLEASE PLEASE PLEASEEEEE HELP!!!!!!!!!
The regression equation below relates the scores students in an advanced statistics course received for homework completed and the subsequent midterm exam. Homework scores are based on assignments that preceded the exam. The maximum homework score a student could obtain was 500 and the maximum midterm score was 350. The regression line that was obtained is given by y= -84.4+ .91x If a student had a homework score of 420, the midterm score would be predicted to be:_______
Answer:
294
Step-by-step explanation:
Given the regression equation :
y= -84.4+ .91x
The value of the x axis is the independent variable which is the homework score ; the predicted variable is the mid term score, which is the values represented on the y - axis :
. Hence, For a student whose homework score, x = 420 ; the predicted mid term score will be :
y= -84.4+ .91(420)
y = - 84.4 + 378
y = 293.6
y = 294
If a pizza pie had
a diameter of 12
inches, what
would be its
circumference?
Answer:
37.7 inches
Step-by-step explanation:
Formula of circumference:
[tex]2\pi r[/tex]
r = radius
In the current case,
radius is 6 inches
Hence,
circumference=
[tex]2*\pi *6\\= 12\pi\\= 37.6991118431[/tex]
≅ 37.7 inches
Feel free to mark it as brainliest
Enter the trigonometric equation you would use to solve for x.
Answer:
x =4,37
Step-by-step explanation:
Tan theta =x÷12
12tan 20° =×
=4.3676...
Simplify by combining Like terms: m + 9 - 4m
Answer:
9-3m
Step-by-step explanation:
m and -4m are like terms, combining them yields (1m-4m) which is -3m. The 9 is a constant.
The director of training for an equipment manufacturing company is interested in determining whether different training methods have an affect on the productivity of assembly line employees. She randomly assigns 42 newly hired employees into two groups of 21. The first group receives an on-line training program and the second receives a team based training program. At the end of the training, the employees are evaluated on the time (in seconds) that it takes to assemble a part. The results follow. A hypothesis test is made to see if there is a significant difference in the mean assembly times. What is the null hypothesis?On-Line19.4 16.7 20.7 19.3 21.8 16.8 14.1 17.7 16.1 19.8 16.819.3 14.7 16.0 16.5 17.7 16.2 17.4 16.4 16.8 18.5Team22.4 13.8 18.7 18.0 19.3 20.8 15.6 17.1 18.0 28.2 21.720.8 30.7 24.7 23.7 17.4 23.2 20.1 12.3 15.2 16.0
Answer:
The null hypothesis is that there is no difference between the mean time it takes an online trained employee or a team-based trained employee to assemble the given part
Step-by-step explanation:
The information the director of the equipment manufacturing company is interested in determining is weather the productivity of assembly line employees is affected by the method used in their training
The total number newly hired employees in the sample = 42
The number of newly hired employees that receive training online = 21
The number of newly hired employees that receive training in a team = 21
The given data of the result of the time it takes an employee to assemble a part is presented as follows;
On-Line 19.4, 16.7, 20.7, 19.3, 21.8, 16.8, 14.1, 17.7, 16.1, 19.8, 16.8, 19.3, 14.7, 16.0, 16.5, 17.7, 16.2, 17.4, 16.4, 16.8, 18.5
Team; 22.4, 13.8, 18.7, 18.0, 19.3, 20.8, 15.6, 17.1, 18.0, 28.2, 21.7, 20.8, 30.7, 24.7, 23.7, 17.4, 23.2, 20.1, 12.3, 15.2, 16.0
The mean time for the of the on-line trained employee, [tex]\overline x_1[/tex] = 17.55714
The standard deviation of the time for the of the on-line trained employee, s₁ = 1.93328
The mean time for the of the team based trained employee, [tex]\overline x_2[/tex] = 19.89048
The standard deviation of the time for the of the team based trained employee, s₂ = 4.5667
The null hypothesis, H₀: [tex]\overline x_1[/tex] = [tex]\overline x_2[/tex]
The alternative hypothesis, Hₐ: [tex]\overline x_1[/tex] ≠ [tex]\overline x_2[/tex]
[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]
Therefore, we have;
[tex]t=\dfrac{(19.89048 - 17.55714)}{\sqrt{\dfrac{4.57667^{2}}{21} - \dfrac{1.93328^{2} }{21}}} \approx 2.5776[/tex]
The degrees of freedom, df = n₁ - 1 = 21 - 1 = 20
At 95% confidence level, we have α = 1 - 0.95 = 0.05, and t = 2.086
Therefore, given that the test statistic is larger than the critical 't' value, we reject the null hypothesis. There is sufficient statistical evidence to show that there is a difference between the mean time of assembly value for the on-line trained and team-based employee
help me FAST :> math problem 15 points come on please
Answer:
D
Step-by-step explanation:
z+nm is equiveland to mn+z since its the same equation but wrote in different positions.
Answer: the answer is D
Z + nm
Please find the area
Answer:
b
Step-by-step explanation:
Area of parallelogram = Area of 2 small triangles
Therefore,
[tex]2( \frac{1}{2} \times 15.1 \times 7) = 105.7 {ft}^{2} [/tex]
What is the equation of the line in slope-intercept form?
Answer:
y = -5/4x + 5
Step-by-step explanation:
the -5/4 is it went down 5 and 4 to the right
5 is the starting point then it went down
tell me if i am correct or wrong!
Fatema will spend more than $30 on gifts. So far, she has spent $14 . What are the possible additional amounts she will spend? Use c for the additional amount (in dollars) . Write your answer as an inequality solved for c .
Answer:
c > $16
Step-by-step explanation:
Since she already spent $14 from the original $30 then the value of C would be the following inequality.
c > 30 - 14
c > 16
Therefore, the additional amount she could spend needs to be greater than $16 in order for Fatema to actually spend more than the $30 she wanted to spend on gifts in total.
please help!!!Its timed !!!!! Ill give out most brainly and extra points !!!
Answer:
D)x=4,y=7Step-by-step explanation:
to understand thisyou need to know about:equationPEMDASlet's solve:according to the question
[tex] \begin{cases}x + 29 = 7x + 5 \\ 8y - 35 =3y \end{cases}[/tex]
[tex] \begin{cases}x -7x= 5-29 \\ 8y - 3y=35 \end{cases}[/tex]
[tex] \begin{cases}-6x= -24\\ 5y=35 \end{cases}[/tex]
[tex] \begin{cases}\frac{-6x}{-6}=\frac{-24}{-6} \\ \frac{5y}{5}=\frac{35}{5} \end{cases}[/tex]
[tex] \therefore \begin{cases} x=4\\ y=7 \end{cases}[/tex]
What is the approximate area of the figure below?
Answer:
96
Step-by-step explanation:
Mel has 1/2 gallon of milk in the refrigerator. He drinks 1/4 of the milk. How much milk does Mel drink?
Answer:
1/3
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
The answer is 3/4 because 1/2 can be turned into 2/4 so the denominators are equal and then you add 1/4 and 3/4
2/4=1/2 because they are both a half
i need help with this
Answer:
20
Step-by-step explanation:
Hello There!
So first we need to determine what the formula for area of a trapezoid is
[tex]A=\frac{a+b}{2} h[/tex]
where a and b = bases and h = height
the given information is the area and the two bases
so we plug in the given information and solve for h
[tex]180=\frac{4+14}{2} h\\4+14=18\\\frac{18}{2} =9\\180=9h[/tex]
divide each side by 9
[tex]\frac{180}{9} =20\\\frac{9h}{9} =h[/tex]
we're left with
h=20
so we can conclude that the height is 20
The rate of change of y is proportional to y. When t=0, y=4, and when t=2, y=8. What is the value of y when t=3?
Answer:
When t = 3, y = 12. y = 4t, for t>0
Step-by-step explanation:
8 = 4 x 2; y = 4 x 3 = 12.
A city map is laid out on a coordinate grid with City Hall at the origin. Each unit on the grid represents a distance of one city block.
Max spends the day running errands and visiting the following locations before heading back to his apartment.
Location Coordinates
Post Office (–15, –4)
Library (–15, 16)
Police Station (–3, 16)
Bank (–3, 8)
Coffee Shop (4, 8)
Pet Store (4, –4)
Grocery Store (–8, –4)
Which of the following options has a distance of 12 city blocks? Select three that apply.
HURRY
Answer:its library to police station
Step-by-step explanation:
Help me please. Need answer ASAP!!! Thank you
Plzzzzzzzzzzzzzzzzzzz help
Answer:
Step-by-step explanation:
GIVING OUT BRAINLEST ANSWER !! TO WHOEVER GIVES THE CORRECT ANSWERRRR HELPPPPPPP PLSSSSSSSS
Answer:
Your answer would be
X= 5
3^16 as a power of 1/9
Answer:
x = -9
Step-by-step explanation:
3^16 = (1/9)^x
9^18 = 9^-x
On comparing co-efficients :
-x = 9
x = -9
(1 point)
Only answer if you know!!! Meg was deep-sea diving at 15 feet below sea level. She dove another 7 feet below sea level. How far
below sea level was Meg?
O 8 ft below sea level
O 12 ft below sea level
O 22 ft below sea level
Answer:
22 feet below sea level
Step-by-step explanation:
she kept going down, basically in a negative way. adding to the already below sea level