Answer:
This would be a .04 or 4% decay.....
for every "time unit" (x in this case) you will be multiplying
the amount by .96 ... in other words if you started with one dollar
the results would be 96 cents... after two "time" steps you would have
only 92 cents (.96 *.96)
Step-by-step explanation:
A program was created to randomly choose customers at a sporting goods store to receive a discount. The program claims 25% of the receipts will get a discount in the long run. The manager of the sporting goods store is skeptical and believes the program's calculations are incorrect. She selects a random sample and finds that 22% received the discount. The confidence interval is 0.22 ± 0.04 with all conditions for inference met.
Part A: Using the given confidence interval, is it statistically evident that the program is not working? Explain. (3 points)
Part B: Is it statistically evident from the confidence interval that the program creates the discount with a 0.25 probability? Explain. (2 points)
Part C: Another random sample of receipts is taken. This sample is four times the size of the original. Twenty-two percent of the receipts in the second sample received the discount. What is the value of margin of error based on the second sample with the same confidence level as the original interval? (2 points)
Part D: Using the margin of error from the second sample in part C, is the program working as planned? Explain. (3 points)
Answer
3.0/5
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nickhollandmck
Ambitious
26 answers
1.7K people helped
Answer:
A: We know that the confidence interval is 0.22 ± 0.04, this equals .22 plus .04, .22 minus .44, or (.18,.26). Because of the fact that .25 is in the range of (.18,.26), there is no statistical evidence that the program is not working as intended.
B: As we established earlier, .25 is within the range of (.18,.26). This means that there is statistical evidence that the program makes the discount with a .25 probability.
C: To solve this problem, we need to use the margin of error formula. The margin of error formula is z times the square rout of p-hat times 1 minus p hat over n. From this formula we see that the me is inversely proportional to the square rout of the sample size. Because this is the case, the new me value is determined by dividing the old me value by 2 because of the fact that the proportion of p is 22%. This means that the new me is equal to .04/2, which equals .02, which means that the new margin of error is .02.
D: We know using the new me that the new CI is .22 ± .02. This also equals .22 plus .02, .22 minus .02, or (.2,.24) Because .25 is not within the range of (.2,.24), there is not statistical evidence that the program is working as intended.
Step-by-step explanation:
Your welcome
TyrantMC
Answer:
Answer
3.0/5
33
nickhollandmck
Ambitious
26 answers
1.7K people helped
Answer:
A: We know that the confidence interval is 0.22 ± 0.04, this equals .22 plus .04, .22 minus .44, or (.18,.26). Because of the fact that .25 is in the range of (.18,.26), there is no statistical evidence that the program is not working as intended.
B: As we established earlier, .25 is within the range of (.18,.26). This means that there is statistical evidence that the program makes the discount with a .25 probability.
C: To solve this problem, we need to use the margin of error formula. The margin of error formula is z times the square rout of p-hat times 1 minus p hat over n. From this formula we see that the me is inversely proportional to the square rout of the sample size. Because this is the case, the new me value is determined by dividing the old me value by 2 because of the fact that the proportion of p is 22%. This means that the new me is equal to .04/2, which equals .02, which means that the new margin of error is .02.
D: We know using the new me that the new CI is .22 ± .02. This also equals .22 plus .02, .22 minus .02, or (.2,.24) Because .25 is not within the range of (.2,.24), there is not statistical evidence that the program is working as intended.
What is the area of the figure below if all angles are right angles?
F: 2 square yards
G: 4 square yards
H: 5 square yards
J: 7 square yards
K: none of these
The required area of the figure is 5 square yards.
What is area of rectangle?Area of rectangle is defined as product of the length and width.
Suppose a rectangle and a square has been removed from rectangle.
Length of rectangle = 3 yards
Width of rectangle 2 yards
Length of square = 1 yards
Area of rectangle = 3 × 2 = 6 square yards
Area of square = 1 × 1 = 1 square yards
The required area of the figure = area of rectangle - area of square
Substitute the values
The required area of the figure = 6 - 1
The required area of the figure = 5 square yards
Hence, the required area of the figure is 5 square yards.
Learn more about Area of rectangle here:
brainly.com/question/20693059
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help please help asap :)
Answer:
4x^3
Step-by-step explanation:
20 x^5 + 28 x^4 + 12x^3
4*5*x^5 + 4*7*x^4 + 4*3*x^3
Factor out 4x^3
4x^3 ( 5x^2 + 7x +3)
\He wants to buy at least 5 goats. Write down an inequality in x to represent this
Answer:
x≥5
Step-by-step explanation:
If x is the quantity of goats he wants x≥5
A ∆ has Č = 90°, Â = 26° and = 30, Find the Angle BC, Side AB and BC.
Answer:
B = 64°
AB = 33.378
BC = 14.632
Step-by-step explanation:
Given the right angled triangle ;
Angle B = 180 - (90 + 26) (sum of angles in a triangle)
Angle B = 180 - 116
Angle B = 64°
Side AB = c
Using trigonometry :
Sin B = opposite / hypotenus
Sin 64 = 30/AB
AB = 30 / Sin64
AB = 33.378
Side BC ;
Sin A = BC / AB
Sin 26 = BC / 33.378
BC = 33.378 * Sin 26
BC = 14.632
someone please help!!
Answer:
f(-8) = 64
Step-by-step explanation:
Since x =-8, we need to use x^2 since -8 <0
(-8)^2 = 64
When x = -8 f(-8) = 64
Answer:
B
Step-by-step explanation:
There are 2 functions, one if x > 0 and one if x < 0
The x we are given is -8, and -8 is less than 0
Plug -8 into the function for if x < 0, which is x^2
(-8)^2=64
Camilla can do 33 push ups in 3 minutes. How many push ups can she do in 1 hours if she never gets tired?
pls answer soon
Answer:
660
33 / 3 = 11 per minute
60 minutes in an hour = 11 * 60 = 660
Step-by-step explanation:
In an experiment on the effects of caffeine on the alertness of college students, student volunteers are randomly assigned to two groups. One group is given caffeinated coffee while the other group is given decaffeinated coffee. All participants then play a video game to assess their mental acuity, measured as their final score on the video game. In this study, the group that is given caffeinated coffee is called the:
Answer:
Experimental group
Step-by-step explanation:
During the process of a research study whereby the participants or subject are divided into groups such that some are exposed to the independent variable or treatment while the other subjects are used as control for the study, The group of participants which are exposed or given the actual treatment or independent procedure are called the experimental group. In the scenario above, experimental group are the group of students which were given caffeinated coffee which is the independent variable in this case.
Surface area of triangular prism
Answer:
264 Km²
Step-by-step explanation:
cross sectional perimeter of the triangular prism= 9+8+7= 24Km
now,
total surface area= C.S.P × height of the figure
= 24 × 11
= 264 km²
căn bậc 2 của 5 là bao nhiêu
Answer:5
Step-by-step explanat[tex]\sqrt{5} = 5[/tex]
[tex]\sqrt{5}[/tex] = 2.23
Please help me solve this problem guys
Answer:
17%
Step-by-step explanation:
Again, as the amount of years increase, the population of bees gets multiplied by 0.83. We can rewrite this to 83%, and then again rewrite this to 100%-17%. We can see now that the population of bees decreases by 17% each year.
Find the measure of one interior angle for the following regular polygon
Answer:
108 degrees
Step-by-step explanation:
The formula for the total sum of the angles in any REGULAR shape is
[tex](n-2) * 180[/tex], where n represents the number of sides.
The shape in the picture shown is a pentagon (5 sides).
[tex](5-2) * 180\\[/tex]
[tex]3 * 180[/tex]
= [tex]540[/tex]
So the angle sum is 540 degrees.
Again, we are told that it is a regular polygon, meaning all sides and angles in the shape are equal.
So to find one angle, just divide it by the number of sides.
[tex]540/5 = 108[/tex]
Answer: 108 degrees
Step-by-step explanation:
Which of the following figures could have both line symmetry and rotational symmetry?
Select all that apply.
square
equilateral triangle
rectangle
isosceles triangle
trapezoid
regular octagon
Answer:
trapezoid is the right answer
Answer:
Based on what I got correct; the correct answer should be:
equilateral triangle
regular octagon
rectangle
and square.
Hope this helps :)
simplify by combining like terms : 5a+2b-3a+4
1. 8ab
2. 4ab+4
3.2a+2b+4
4. 8a + 2b+4
5a+2b-3a+4
= (5a-3a)+2b+4
= 2a + 2b + 4
Answered by Gauthmath must click thanks and mark brainliest
Please help me determine this guys
SCREAMING HELP ALERT !!
Answer: 1/3
Step-by-step explanation:
On side of the smaller quadrilateral is 8, the same side on the larger one is 24. 8 times 3 is 24. So the scale factor from the smaller to the larger is 1/3.
Answer:
1/3
Step-by-step explanation:
similar means all sides are proportinal, in this case one side is 3x bigger in the 2nd figure, so the same must be true of the other fig.
EXPLAIN:
Answer the following questions using 125 words or more:
Write about the similarity of the original comic to the enlargement. How similar are they and how can you tell? What would cause differences in the two pictures? If you drew another comic using a grid, is there anything you would do differently?
What would happen if you reduced the comic's size rather than enlarged it? Would the process be the same? What would you do differently?
Answer:
Step-by-step explanation:
The enlargement of a comic will be very similar to the original. Everything is larger but in the same proportion. The difference is if the original is enlarged so much that the individual pixel in the original comic becomes visible; causing the enlargement to be "pixelated."
If a comic is drawn using a grid, that may reduce pixelation because you can line up things with the grid.
If the comic's size is reduced, then again it will look similar but everything is smaller and in the same proportion. There will not be any pixelation effect.
Which expression is equivalent to 4 + 36x?
Answer:
A
Step-by-step explanation:
4(1)+4(9x)=4+36x
Select the equation written in slope intercept form that corresponds to the given slope y intercept
Answer:
[tex]y = -6x + 1[/tex]
[tex]y = 6x - 2[/tex]
[tex]y = -2x + 4[/tex]
[tex]y = x + 6[/tex]
Step-by-step explanation:
Given
See comment for missing part of the question
Required
The equation in slope intercept form
A linear equation is of the form:
[tex]y = mx + b[/tex]
(a) m = -6, b =1
Using the above format, we have:
[tex]y = -6x + 1[/tex]
(b) m =6, b = -2
[tex]y = 6x - 2[/tex]
(c) m = -2, b = 4
[tex]y = -2x + 4[/tex]
(d) m = 1, b = 6
[tex]y = x + 6[/tex]
a microwave oven has a capacity of 1.59ft³. the interior of the microwave of the is 14 in wide and 14 in deep. what is the height of the interior of the microwave, to the nearest tenth of a foot
Step-by-step explanation:
The easiest way to do this is to imagine the microwave as a box. Ignore the turntables, whether or not something will spin if it touches an edge, and anything else that would make the fact that we're talking about a microwave confusing. This is a box now. :)
The capacity of our box is 1.59 ft^3, which means it can hold that much of "things" inside it. Instead of a capacity, we'll think of it as the box's total area. A tricky thing to note, is the area is given in ft, where the interior values are given as inches. So we'll need to turn the inches into feet.
To get the area of a box, we do length x width x height.
We're already given the length, 14 (inches), and the width, 14 (inches), so all we need to find now is the height (feet). To turn the lengths into feet, we'll divide them by 12, because there are 12 inches in 1 foot, or Feet = Inches / 12.
To finally turn it into math:
Area (A) = length (L) * width (W) * height (H)
[tex]A = L * W * H[/tex]
Insert known values.
[tex]1.59 = \frac{14}{12} * \frac{14}{12} * H[/tex]
Multiply.
[tex]1.59 = \frac{196H}{144}[/tex]
Simplify.
[tex]1.59 = \frac{49H}{36}[/tex]
Multiply both sides by 36.
[tex]1.59*36 = \frac{49H}{36}*36[/tex]
Simplify.
[tex]57.24 = 49H[/tex]
Divide both sides by 49.
[tex]\frac{57.24}{49} = \frac{49H}{49}[/tex]
Simplify.
[tex]1.16816326... = H[/tex]
To turn make this the nearest Tenth, we round up to the first decimal place.
Answer:
H = 1.2 ft
Find the missing side of triangle
Answer:
x = 50
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other two sides , then
x² = 48² + 14² = 2304 + 196 = 2500 ( take the square root of both sides )
x = [tex]\sqrt{2500}[/tex] = 50
please help with number 9!!!
Answer:
2 + sqrt(3)
Step-by-step explanation:
Roots that contain square roots come in pairs
If there is a root that is a- sqrt(b), there is a root that is a+ sqrt(b)
2 -sqrt(3) means there is a root 2 + sqrt(3)
Instructions: Solve the triangle, find mA and mZC.
Step-by-step explanation:
mA=cosA=17/38
A=cos inverse of 17/38
A=63 degrees
A construction worker uses a tape measure to find that a pipe is
28
100
of a meter long. Select the decimal that represents the same length.
Answer:
c 0.28 m
Step-by-step explanation:
A construction worker uses a tape measure to find that a pipe is 28/100 of a meter long. Select the decimal that represents the same length.
a 1.28 m
b 2.8 m
c 0.28 m
d 0.028 m
Given:
Length of the pipe in fraction = 28/100
What is the equivalent length in decimal?
28/100
How many hundred can you get in 28
= 0. Remainder 28
Add 0 to 28 which makes it 280
How many hundred can you get in 280
= 2 remainder 80
Add 0 to 80 which makes it 800
How many hundred can you get in 800
= 8 remainder 0
Bring all the quotient together
Therefore,
28/100 m = 0.28 m
Given m
11
n, find the value of x and y.
41°
וז.
20
n
yº
So I keep getting the wrong answer could someone help me pls
Answer:
x = 41°, y = 139°
Step-by-step explanation:
The given parameters are;
Line m is parallel to line n and lines m and n have a common transversal
The corresponding angles formed by the common transversal to the two parallel lines are 41° on line m and x° on line n
Therefore, x° = 41° by corresponding angles formed between on two parallel lines by a common transversal are equal
x° and y° are linear pair angles and they are, supplementary
∴ x° + y° = 180°
∴ x° + y° = 41° + y° = 180°
y° = 180° - 41° = 139°
y° = 139°.
Complete the steps to solve the equation. 9 – 4x = 2x 1. Addition property of equality: 9 = 6x 2. Division property of equality: = x
Answer:
x = 3/2
Step-by-step explanation:
Given:
9 - 4x = 2x
Step 1: Addition property of equality
9 - 4x + 4x = 2x + 4x
9 = 6x
Step 2: Division property of equality:
9 = 6x
9/6 = 6x/6
9/6 = x
x = 9/6
= 3/2
x = 3/2
Check:
9 - 4x = 2x
9 - 4(3/2) = 2(3/2)
9 - 12/2 = 6/2
9 - 6 = 3
3 = 3
Question 3 of 10
Select the action you would use to solve 3x = 12. Then select the property
that justifies that action
Select all that apply.
A. Action: Add 3 to both sides.
B. Action: Multiply both sides by 3.
C. Action: Divide both sides by 3
D. Property. Addition property of equality
E. Property: Multiplication property of equality
DF Property Division property of equality
Answer:
C. Divide both sides by 3
Step-by-step explanation:
3x=12
3x/3=12/3
x=4
A, B and C are points on a circle.
EF is a tangent to the circle at C.
D is a point on AC.
Angle CBD:Angle ABD = 3:1.
Find angle ADB.
Give a geometrical reason for each step of your working.
Answer:
44/3 degrees
Step-by-step explanation:
Angle CBD = 180 - (64 + 72) = 44
Angle ADB = 44/3 (Since of the ratio)
Please find the missing number for the surface area. I will mark brainiest if correct. 2.
It is 18 because it is a square so all the sides have to be the same so that would make it 18
Step by step solution please
Answer:
I solved the question step by step in the pic, and I hope it helps
