A market research firm supplies manufacturers with estimates of the retail sales of their products from samples of retail stores. Marketing managers are prone to look at the estimate and ignore sampling error. An SRS of 28
stores this year shows mean sales of 64 units of a small appliance, with a standard deviation of 13.8 units. During the same point in time last year, an SRS of 28 stores had mean sales of 48.958 units, with standard deviation 15.4 units. An increase from 48.958 to 64 is a rise of about 24%.
1. Construct a 99% confidence interval estimate of the difference μ1−μ2
μ1−μ2, where μ1 is the mean of this year's sales and μ2 is the mean of last year's sales.
(b) The margin of error is
2. At a 0.01 significance level, is there sufficient evidence to show that sales this year are different from last year?
Answer:
Confidence interval = (4.61972, 25.46428)
Margin of Error = 3.9078675
Step-by-step explanation:
Given that :
This year:
Mean (μ1) = 64
Standard deviation (s1) = 13.8
Sample size (n1) = 28
Last year:
Mean (μ2) = 48.958
Standard deviation (s2) = 15.4
Sample size (n2) = 28
99% confidence interval estimate of the difference μ1−μ2
α = 1 - 99% = 0.01
(μ1−μ2) ± t0.01,27 * (√s1²/n1 + s2²/n2)
t0.01, 27 = 2.770683 (t value calculator)
√s1²/n1 + s2²/n2 = √13.8^2/28 + 15.4^2/28 = 3.9078675
(64 - 48.958) ± 2.667(3.9078675)
15.042 ± 10.42228
(15.042 - 10.42228), (15.042 + 10.42228)
(4.61972, 25.46428)
The margin of error :
√(s1²/n1) + (s2²/n2)
√(13.8^2/28) + (15.4^2/28)
√(6.8014285 + 8.47)
√15.2714285
= 3.9078675
What is the nth term rule of the linear sequence below?
-9, -5, -1,3,7,...
Answer:
Step-by-step explanation:
Given sequence
-9, -5, -1,3,7,...
Is A.P(,airthmetic progression)
So
nth term of an A.P =a+(n-1)d
Where a=first term (-9)
D=difference=(-5)-(-9)=4
So nth term=-9+(n-1)4
=4n-13
Answer is 4n-13
WILL GIVE BRAINLIEST 20 POINTS!!! PLS HELP!!!?!?!?!?! DO NOT COPY AND PASTE FROM OTHER QUESTIONS OR I WILL REPORT U AND DELETE UR ANSWER!!!!
The functions f(x) and g(x) in the table below show Jane's and Mariah's savings respectively, in dollars, after x days. Some values are missing in the table.
x(years) 1 2 3
g(x) = 3x
Jane's savings in dollars 3 9
f(x) = 3x + 3
Mariah's savings in dollars 6 9
Which statement best describes Jane's and Mariah's savings in the long run?
Jane will save more than Mariah.
Mariah will save more than Jane.
The savings will increase by the same factor for both.
The savings will increase by the same percentage for both.
Answer:
Mariah will save more than Jane.
Step-by-step explanation:
i think
A company that makes hair-care products had 6,000 people try a new shampoo. Of the 6,000 people, 48 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
Answer:
I would say 2880 sorry if am wrong
Step-by-step explanation:
6000*48=288,000 then divide by 100 because percent means 100. 288,000/100= 2,880. hope this helps can I get brainlist and add effort before you come to look for anwer.
Plz answer quick I need to get it bc it’s a quiz
Answer:
slope equals 2
Step-by-step explanation:
graph points and calculate rise over run
Select the correct answer. Given:In quadrilateral WXYZ , and bisect each other at point A. Prove: Quadrilateral WXYZ is a parallelogram. Statement Reason 1. and bisect each other. given 2. WA = YA XA = ZA definition of bisection 3. m∠YAZ = m∠XAW Vertical Angles Theorem 4. SAS criterion for congruence 5. ∠ YWX ≅ ∠WYZ Corresponding angles of congruent triangles are congruent. 6. || converse of Alternate Interior Angles Theorem 7. m∠XAY = m∠ZAW Vertical Angles Theorem 8. ∆XAY ≅ ∆ZAW SAS criterion for congruence 9. ∠XZW ≅ ∠ZXY Corresponding angles of congruent triangles are congruent. 10. || converse of Alternate Interior Angles Theorem 11. Quadrilateral WXYZ is a parallelogram. definition of parallelogram What is the missing statement in this proof? A. ∆XWY ≅ ∆ZYW B. ∆YAZ ≅ ∆WAX C. WY = XZ D. ||
Answer:
YAZ WAX is the answer...i couldn't put it as its shown on the problem but its the same letters
Step-by-step explanation:
i took the test and got 5/5....this answer was correct
A downtown parking garage charges individuals to park a car according to the following rate schedule: $1.00 for the first hour, then $2 for each subsequent hour until the daily maximum charge of $9.00 is reached. These charges are represented in the graph below.
which of the following is true?
Answer:
In the graph, a white dot means that the value does not belong to the set, while the colored dot means that the value does belong.
Let's analyze each statement (from top to bottom)
1)The x-axis represents the number of hours, and the y-axis the charge.
Then let's find x = 2.
You can see that there is a colored dot at y = $3, and a white dot at y = $5.
Then the price for exactly two hours is $3, not $5.
Then this first statement is wrong.
2) You can assume that 20 minutes is in between x = 0 and x =1, then from that point, you can see that the equivalent value of y is $1. Then the individuals who park only for 20 minutes will be charged with $1,
This statement is wrong.
3) 1 hour and 15 minutes is in between 1 and 2 hours.
And as you can see, for 1 < x ≤ 2, the price is $3. Then this statement is correct.
4) Here we have x > 4.
In the graph you can see that all values of x > 4 are mapped into the black part of the graph, which is equivalent to the maximum charge of $9.
Then this statement is correct.
What additional information could be used to prove that triangle XYZ is congruent to triangle Fe.g. using asa or aas check all that apply
Answer:
its the first one and the last one ..that's the answer.
What are steps I need to take to find a? Please include working out ❤️❤️
Suppose a stock drops in value by 60% one week, then increases in value the next week by 75%. Is the value higher or lower than where it started
Answer:
Lower
Step-by-step explanation:
Use the number 100 to see how the value changes:
First, calculate the 60% drop:
100(0.4)
= 40
Then, calculate the 75% increase:
40(1.75)
= 70
So, since 70 is smaller than 100, the value is lower than where it started.
-4-5(2x -4) = 76
-6
9
-4
7
9514 1404 393
Answer:
x = -6
Step-by-step explanation:
-4 -10x +20 = 76 . . . . . eliminate parentheses
-10x = 60 . . . . . . . . . . . subtract 16
x = -6 . . . . . . . . . . . . . . divide by -10
I don't know how to solve this.Please help!
3^x=2
PLS answer fast!!!! I am literally in tears. Brainliest to the first person to answer it correctly
Answer:
-682
Step-by-step explanation:
I worked it out and got -682
Gina wants to make
hamburgers for 12 people.
Her recipe serves 8 people
and calls for 4.5 pounds of
ground beef. How much
ground beef should
Gia purchase?
h
Answer:
6.75 pounds
Step-by-step explanation:
This question is of direct variation. We will use x as our answer. 8 is 2/3 of 12, so 4.5 should be 2/3 of x. We can now make an equation.
[tex]4.5=\frac{2}{3} x\\4.5*\frac{3}{2} =\frac{2}{3} x*\frac{3}{2} \\6.75=x[/tex]
In order to solve the equation, we multiply both sides by the reciprocal of 2/3, which is 3/2.
* stands for multiplication
From solving our equation, we get 6.75. We can't forget the units, so the answer is 6.75 pounds.
Simplify: 5 -3 • 5 5
25 8
25 -15
5 -3
5 2
the cube_____of 27 is 3.
Answer:
3
Step-by-step explanation:
Answer:
the cube ROOT of 27 is 3.
Step-by-step explanation:
Use a calculator, spreadsheet, or another tool to solve for the unknown sides of the given right triangle. The length of the hypotenuse is 12. a is the length of the side opposite the 10 degree angle and b is the length of the opposite angle B. Round your answers to four decimal places.
Answer:
27
Step-by-step explanation:
2 TIMES 3
The length of the side a and b is 2.0837 and 11.8176 respectively.
Length of side a and b to be determine, hypotenuse is 12 and a is the length of the side opposite the 10 degree angle and b is the length of the opposite angle B.
Trigonometry is branch of mathematics that helps in elevation and angle problems.
Let assume that one angle of triangle is right angle.
So in right angles triangle,
hypotenuse = 12
cos10 = length of b /12
length of b = 12 cos10
length of b = 11.8176
Now,
sin 10 =length of a/ 12
length of a = 12 sin10
length of a = 2.0837
Thus, the length of the side a and b is 2.0837 and 11.8176 respectively.
Learn more about trigonometry here:
https://brainly.com/question/26719838
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Does -3 and -2 make a right triangle
Answer:
There is no such thing as negative distances. In order to do Pythagoras theorem you need to know which one is the hypotenuse
HELPPPPPPPPP!!!
What is z/
W
0-4 + 16i
O 6 + 10i
O 7+11i
O 8+2i
The value of z/w is, (8 + 2i)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The graph is shown in figure.
And, The point z = (6 + 10i)
The point w = (1 + i)
Now,
We can find the value of z/w is,
⇒ z/w = (6 + 10i) / (1 + i)
= (6 + 10i) (1 - i) / (1 + i) (1 - i)
= (6 - 6i + 10i - 10i²) / (1 - i²)
= (6 + 4i + 10) / (1 + 1)
= (4i + 16) / 2
= (8 + 2i)
Learn more about the mathematical expression visit:
brainly.com/question/1859113
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Find the product. Enter your final answer as a simplified fraction.
-1/8•7•2/5=
Answer:
-7/20
Step-by-step explanation:
Answer:
-1/140
Step-by-step explanation:
-1/8*7*2/5
-7/8*2/5
-7/20
Tiffany took her friends out to dinner. If the dinner was $29.53 and she gave a 20% tip, how much money did she spend on dinner?
Answer: The answer is 35.43 because 29.53 times 20% is 5.90, so you add 5.90 to 29.53 to get 35.43.
Daniel has 1615 Skittles stored in boxes. If there are 85 boxes, how many Skittles must go in each box?
Answer:
19
Step-by-step explanation:
While it's really easy to just divide, I'm sure your teacher wants an equation so:
1615=85x here x= skittle boxes
1615/85=x In this line you can use divide to cancel out the multiplication, giving you
x=19
What is the value of the expression when x = 4 and y = 3?
3x² + 5y
A.27
B.38
C.63
D.159
Answer:
63
Step-by-step explanation:
3x^2+5y
Where X=4,Y=3
So
=3×4×4+5×3
=48+15
=63
So 63 is the answer
Answer:
C.63
Step-by-step explanation:
3x4²+5x3
4² = 16
3x16+5x3
Then
3x16 = 48
5x3 =15
48+15 equals 63
The answer is 63
Have a Good Day!!!!
A bike travels 24 miles in 3 hours. How many miles will the bike travel in 12 hours?
Answer:
72
Step-by-step explanation:
24 / 3 = 8
so
8*7 = 72
Answer:
72
Step-by-step explanation
24 / 3 = 8
so
8*7 = 72
Help please! I’ll give brainliest!
Answer:
i think the answer is B
i am sorry if this is wrong
Step-by-step explanation:
a company has recently been hiring new employees. today the company has 26% more employees than it did a year ago. if there are currently 69300 employees, how many employees did the company have a year ago
Answer:
Did you just assume my gender?
Mark me brainliest please :)
Love ya!
Step-by-step explanation:
Which equation represents the number of points in the problem below?
A test is worth 60 points. Multiple-choice questions are worth 2 points, and
short-answer questions are worth 5 points. If the test has 15 questions, how
many multiple-choice questions are there?
O A. 2m+ 5s = 60
B. m + s = 60
O C. 2m + 5s +15 = 60
O D. 2m + 5s = 15
Answer:
Step-by-step explanation:
Let the number of MC questions = x
Let the number of SA questions = y
x + y = 15
2x + 5y = 60
Multiply the top equation by 2
2x + 2y = 30
Put this underneath the second equation and subtract
2x + 5y = 60
2x + 2y = 30 Subtract
3y = 30
y = 10 Subtract
2y = 20
y = 10
x + y = 15
x + 10 = 15
x = 5
classify the triangle based off of the measurements of its sides 30m, 30m
Answer:
i got it
its an isosceles triangle bc two sides are equal.
What is the following product?
(5-12-4/5)(512-43
PLEASE HELP ):
Answer:
-3658.2
Step-by-step explanation:
EMILY COOKIE RECIPE CALLS FOR 3 CUPS OF FLOUR AND 1 CUP OF SUGAR WHAT IS THE RATIO OF FLOUR TO SUGAR