The owner of a popular coffee shop wants to determine if there is a difference between the proportion of customers
who use their own cups when they purchase a coffee beverage, and the proportion of customers who use their own
cups when they purchase an espresso beverage. Customers using their own cups get a 5% discount, which is
displayed on the receipt. The owner randomly selects 50 receipts from all coffee purchases and 50 receipts from all
espresso purchases. For coffee purchases, 24 receipts showed that the customer used their own cup. For espresso
purchases, 18 receipts showed the customer used their own cup. The owner wants to construct a 95% confidence
interval for the difference in the proportions of customers who use their own cups. Are the conditions for inference
met?
Yes, the conditions for inference are met.
No, the 10% condition is not met.
No, the randomness condition is not met.
O No, the Large Counts Condition is not met.
Answer:
Yes, the conditions for inference are met.
A
Step-by-step explanation:
EDGE
The answer is option A because, the conditions for inference are met.
Data;
sample size = 50 recieptdiscount = 5%confidence interval = 95%What is confidence interval?This is when the probability of a population parameter falls between a set of values for a certain proportion of times.
To answer this question, the conditions for inference are met.
Learn more on confidence interval here;
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Given the function f(x) = 4x3 + 13x, what is the gradient of the function when x = 2 ?
Answer:
y=45x+115
Step-by-step explanation:
We can find the slope of a line tangent to a curve at a point by evaluating the derivative of the function at that point.
We are given the function
f ( x ) = 4 x 3 + 12 x 2 + 9 x + 7
= f ( x ) = 4 x 3 + 12 x 2 + 9 x 1 + 7 x 0
Using the power rule, let's now compute the derivative of f( x )
f ' ( x ) = ( 3 ⋅ 4 x 2 ) + ( 2 ⋅ 12 x ) + ( 1 ⋅ 9 x 0 ) + 0 ⋅ 7 x − 1
f ' ( x ) = 12 x 2 + 24 x + 9
We can now find the slope of f ( x ) at x = − 3 by substituting this value into f ' ( x )
f ' ( − 3 ) = 12 ( − 3 ) 2 + 24 ( − 3 ) + 9
f'(-3)=12(9)+24(-3)+9
f'(-3)=108-72+9
f'(-3)=45(slope of the tangent line at x = − 3
Now that we have a slope for the tangent line, we need to identify a point on the line.
We know the tangent line touches the function f ( x ) at the point x = − 3 , so let's find the value of f ( x ) at this point:
f(-3)=4(-3)3+12(-3)2+9(-3)+7
f(-3)=4(-27)+12(9)+9(-3)+7
f(-3)=108+108-27+7
f'(-3)=-20
So we know the tangent line goes through the point
(-3,-20)
Finally, we can use the point-slope formula for a line to find the equation of the tangent line.
y=mx+b
To find the value of b , substitute the values we have calculated for the point and slope of the tangent line:
(-20)=(45)(-3)+b
-20=-135+b
b=115
So our final answer for the equation of the tangent line is:
y=45x+115
What is the perimeter of a rectangle with a length of 20 inches and a width of 18 inches?
Answer:
76 in
Step-by-step explanation:
20+20+18+18=76
how much do i need to get to 500 so rite now I have 423 and I need 500
like for exampole 485+15=15
Answer:
77
Step-by-step explanation:
just do 500-423
1.3b+7.8-3.2b plz answer, combining like terms. khan academy sucks T^T
Answer:
That'd be
1.3b -3.2b +7.8
-1.9b + 7.8
that's the simplification
don't forget to make my answer the brainliest if it's correct
how to find the range in a dot plot
Answer:
By examining the line plot, we find the number with the maximum number of crosses or occurrences. This gives the mode of the data set. We find the smallest and the largest number from the data set and find their difference and this difference is the range of the given data set.
Step-by-step explanation:
I know this is not about work but I need help. I was watching an anime years ago and I can't remember the name but I hope my description helps.
The anime is about a boy raised by a computer and has a monster friend who eats his arm to survive but the monster didn't mind. Then he turns into a mecha and a spaceship came to take him away... PLEASE tell me the name :(
Answer: Then Bokurano : ours?
In the relationship between hours driven and distance traveled is y = 45x, which of the following ordered pairs would be graphed on the line that represents the relationship?
Step-by-step explanation:
(0,0) (1,45) (2,90) (3, 135) (4, 180) etc, etc
Answer:
(4, 180)
Step-by-step explanation:
Choices: (3,5), (4,60), (4,180), (5,9)
y = 45x
The value of y is 45 times the value of x.
The only point in which that is true is (4, 180) since 45 * 4 = 180.
Answer: (4, 180)
The parallelogram pictured below has a perimeter of 129. Find the value of y.
Answer:
y = 2.5
Step-by-step explanation:
2(17y + 6) + 2(10y - 9) = 129
34y + 12 + 20y - 18 = 129
54y - 6 = 129
54y = 135
y = 2.5
260 x 15 x 39 + 500 can i please get help we are on a timed test that is worth my whole grade and we have no paper so i cant think of it. caculators are blocked
Answer:
Step-by-step explanation:
Nutz and ballz
Which describes the graph of y= (x+3)^2 - 4?
A. Opens down with a vertex at (3,-4)
B. Opens up with a vertex at (-3,-4)
C. Opens down with a vertex at (-3, -4)
D. Opens up with a vertex at (3, -4)
Answer:
Hi! The answer to your question is B. Opens up with a vertex at (-3,-4)
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!!
- Brooklynn Deka
Graph the line with the equation y = 1/2 x + 5
Find two points and draw a line through them
y = 1/2(2) + 5
y = 1 + 5, 6
One point is (2,6)
y = 1/2(0) + 5
y = 5
Second point is (0,5)
I inserted a graph on desmos for example
Step-by-step explanation:
Rewrite in slope-intercept form.
[tex]y = \frac{1}{2} x + 5[/tex]
Use the slope-intercept form to find the slope and y-intercept.
Slope is : 1/2
y-intercept: (0,5)
Any line can be graphed using two points. Select two x values, and plug them into the equation in order to find the corresponding y values.
If $42.60 is in the tip jar and you share equally with 2 other people what is my share
Answer:
$14.20
Step-by-step explanation:
$42.60 ÷ 3
$14.20
What is 0 x 0? My teacher asked my whole class what it was. No one knew so i decided to come to this website for help.
Answer:
0
Step-by-step explanation:
if you have doubles of nothing you will get nothing
4x-3=9 what does x equal show work
Answer:
x = 3
Step-by-step explanation:
4x - 3 = 9
4x = 9 + 3
4x = 12
x = 12/4
x = 3
help me plzzzzzzzzzzz
Answer:
m= 2 43/63
Step-by-step explanation:
steps
6 1/9 = 3 3/7 + m
convert mixed numbers into improper fractions 6 1/9 = 55/9
55/9 = 3 3/7 + m
convert mixed numbers into improper fractions 3 3/7 = 24/7
55/9 = 24/7 + m
switch sides
24/7 + m = 55/9
subtract 24/7 from both sides
24/7 + m - 24/7 = 55/9 - 24/7
simplify
m = 169/63
convert improper fraction to mixed number
169/63 = 2 43/63
so your final answer is 2 43/63
Hope that helps!
Which expression can be used to find the quotient of 184 and 8?
(184÷10)+(8÷2)
(160÷8)+(24÷8)
(18÷3)+(4-2)
(184÷4)+(8÷2)
????????
a school has 900 students. 1/6 of the students in the school are in year 7. 2/5 of the year 7 students are going on a trip to the castle. how many year 7 students are going on the trip?
Answer: 12 students
Step-by-step explanation:
1/6 of 900 is 30 kids. and 2/5 of the 30 kids is 12
84 **ABCDEFGHIJKLMNOPQRSTUVWXYZ**
NAD = 7, ADD = 12, BADS = 30.
What is the value of OJJAM?
Answer:
i don't know you find it
Step-by-step explanation:
a circle centered ar the the orgin has a radius of 1/2 what is the equation of the circle
Answer:
The equation of the circle is [tex]x^2 + y^2 = \frac{1}{4}[/tex]
Step-by-step explanation:
Equation of a circle:
The equation of a circle with center [tex](x_0,y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
Centered at the the origin
Center (0,0), which means that [tex]x_0 = 0, y_0 = 0[/tex]
radius of 1/2
This means that [tex]r = \frac{1}{2}[/tex]
Equation:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
[tex](x - 0)^2 + (y - 0)^2 = (\frac{1}{2})^2[/tex]
[tex]x^2 + y^2 = \frac{1}{4}[/tex]
The equation of the circle is [tex]x^2 + y^2 = \frac{1}{4}[/tex]
Give the limits of integration for evaluating the integral
∭f(r,θ,z)dz r dr dθ
as an iterated integral over the region that is bounded below by the plane z = 0, on the side by the cylinder r=cosθ and on top by the paraboloid z=3r^2.
Answer:
θ = 0 to θ = 2π, r = 1 to r = -1 and z = 0 to z = 3
Step-by-step explanation:
Since the integration is in cylindrical coordinates, θ is integrated from 0 to 2π.
Since r = cosθ
when θ = 0, r = cos0 = 1
when θ = 2π, r = cos2π = -1
Since the region is bounded below by the plane z = 0, and on the top by the paraboloid z = 3r², z is integrated from z = 0 to z = 3r².
So, when r = 1, z = 3r² = 3(1)² = 3
when r = -1, z = 3r² = 3(-1)² = 3
So, the limits of integration of
∭f(r,θ,z)dz r dr dθ are θ = 0 to θ = 2π, r = 1 to r = -1 and z = 0 to z = 3
5 Bill's trail mix has 6 cups of walnuts
and 10 cups of cranberries. Using
the same recipe, how many cups
of walnuts go with 15 cups of
cranberries?
Answer:
Umm, I will do my best to comment on this. I feel so bad for all the people that I hit answer and I don´t know it. =( !
Answer:
25.5
Step-by-step explanation:
10÷6=1.7
1.7x15=25.5
Determine the nature of the roots: 5x2 + 20x + 20 - 0
. no real solutions
C.
. a unique real solution
d.
cannot be determined
two distinct real solutions
BODMAS QUESTIONS
10-4×0+3÷3
Answer: 11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
What’s the correct equation for the circle
Answer:
[tex]forth \: is \: correct \: answer \: \\ the \: red \: one[/tex]
find the missing side of each triangle
• Hypotenuse (H) = 15 in
• Base (B) = 12 in
To calculate :• Perpendicular (P) [x]
Calculation :By using pythagoras property,
[tex] \longmapsto \sf { H^2 =B^2 + P^2 } [/tex]
[tex] \longmapsto \sf { (15)^2 =(12)^2 +(x)^2 } [/tex]
[tex] \longmapsto \sf { x^2 = (15)^2 - (12)^2 } [/tex]
[tex] \longmapsto \sf { x^2 = 225 - 144 } [/tex]
[tex] \longmapsto \sf { x^2 = 81 } [/tex]
[tex] \longmapsto \sf { x = \sqrt{81} } [/tex]
[tex] \longmapsto \sf \red { x = 9 \: in} [/tex]
So, the value of x (perpendicular) is 9 in.
A farmer plants 987 apple trees in 9 rows. Can each row have the same number of trees? How do you know?
Each row cannot have the same number of trees.
What is Divisibility?In mathematics, the term "divisibility" describes a number's ability to be divided by another number in an equal amount without any residue. For instance, it's simple to understand how 40 by 4 can be divided. A huge piece of land that can be divided into smaller chunks and sold separately is said to be divisible, much as it is obvious when you cut into a pan of brownies and distribute equal amounts to each of your friends.
As per the given data:
Number of apple trees = 987
Number of rows = 9
To find whether each row has the same number of trees:
If 987 is divisible by 9 then, the same number of trees can be there else not.
= (987/9) = (329/3) = 109.667
Not divisible, so same number of trees cannot be there.
Hence, each row cannot have the same number of trees.
To learn more about divisibility, click:
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This morning, Manny took a history test. There were 50 multiple-choice problems on the test
and Manny answered 10% of them correctly. How many problems did Manny get right?
Answer:
He got 5 right
Step-by-step explanation:
10% = 0.1
50(0.1) = 5
Answer:
5 questions were answered correctly
Step-by-step explanation:
10% of 50 is 5. So that means 5 questions were answered correctly.
Kendra spent 1/3 of her allowance on a book and snack. If she had 4 dollars remaining after purchasing a book and snack, what was the total amount of her allowance.
Kendra's allowance is $15.
Answer:
Step-by-step explanation:
If we used the quadratic expression below to complete a diamond, what value would go at the very TOP of the diamond? part 1
x^2 - 4x + 5
a. -4
b. 4
c. 1
d. 5
9514 1404 393
Answer:
d. 5
Step-by-step explanation:
Using the "diamond method" for factoring a quadratic, the top number is the product of the leading coefficient and the constant. For this quadratic, it is ...
(1)(5) = 5
The very top number is 5.
