Answer:
The 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
A store randomly samples 603 shoppers over the course of a year and finds that 142 of them made their visit because of a coupon they'd received in the mail.
This means that [tex]n = 603, \pi = \frac{142}{603} = 0.2355[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 - 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2016[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 + 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2694[/tex]
The 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694).
Courtney used 14 sq ft of wrapping paper to wrap 2 same-size packages. What is the greatest number of same-sized packages. Courtney can wrap using 56 sq ft of wrapping paper?
Please solve these two questions!
In a survey of 48 hospital patients. 20 said they were satisfied with the nursing care, 23 said they were satisfied with the medical treatment, and 6 said they were satisfied with both. How many patients were satisfied with neither? How many were satisfied with only the medical treatment?
Answer:
11 patients were satisfied with neither and 23 patients were satisfied with only the medical treat
Step-by-step explanation:
trust me i'm Asian
no fake answers only real pls
Answer:
15.19 cm
Step-by-step explanation:
A total of 800 copies of a CD were sold. 60% were sold at 50% discount, 20% were sold at 30% discount and the remainder were sold at the full price of N8.95. What was the approximate total revenue in Naira? *
Answer:
N4009.60
Step-by-step explanation:
800x.6x.5x8.95=2,148
800x.2x.3x8.95=429.6
800x.2x8.95=1,432
2148+429.6+1432=4009.6
help solve for angle A
[tex]\huge{ \mathfrak{ \underline{ \underline{Answer }}\: \: ✓ }}[/tex]
The given Angles are Alternate Exterior Angle pair, so their measures will be equal :
[tex]6x - 2 = 4x + 48[/tex][tex]6x - 4x = 48 + 2[/tex][tex]2x = 50[/tex][tex]x = 25[/tex]Now,
[tex] \large{ \boxed{\angle A = 6x - 2}}[/tex]
[tex]\angle A = (6 \times 25) - 2[/tex][tex]\angle A = 150 - 2[/tex][tex]\angle A = 148°[/tex]Therefore Value of [tex]\angle A = 148°[/tex]
_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
Answer:
∠A= 148°
Step-by-step explanation:
∠A= ∠B
[tex]6x-2=48+4x[/tex][tex]2x=50[/tex][tex]x=25[/tex]∠A= 6x-2
[tex]150-2[/tex][tex]148[/tex]---------------------
hope it helps..
have a great day!!
jessica makes 12 batches of cookies to drop off at schools. Each school received 1 1/2 batches of cookies. How many school did Jessica take cookies to? *
Answer:
8
Step-by-step explanation:
12/1.5 is 8
you divide the total amount (12) by how much you're giving out (1.5 or 1 1/2) to find how many even groups can get a share
Which expression is equivalent to 4/5 x 4-3?
Answer:
4 / 5
Step-by-step explanation:
please help me before the bots do thank you!!!
Answer:
517.5 mi^2
Step-by-step explanation:
Divide shapes into 3 shapes ( 1 triangle and 2 rectangles
b = 17
h = 25
Area of triangle = [tex]\frac{1}{2}[/tex] Bh
A = [tex]\frac{1}{2}[/tex] (17)(25)
A = 212.5 mi^2
Area of 1st rectangle = lw = 17(9) = 153 mi^2
Area of 2nd rectangle = lw = 19(8) = 152 mi^2
Area of figure = 212.5 +153 + 152 = 517.5 mi^2
3.(-48)÷ 48=_____ class 7th Chapter integer
Answer:
3. (-48) devide 48 = -1 class 7th Chapter integer
The answer is : -1
# GOOD LUCK find the 46th term 261 256 251
Answer:
36
Step-by-step explanation:
The numbers given represent an arithmetic series with a common difference of -5. The formula to find the nth term of an arithmetic sequence is:
a + (n - 1)d
where a is the first term and d is the common difference. We can substitute our values in:
261 + (46 - 1)(-5)
261 + (45)(-5)
261 + (-225)
36
Answer:
36
Step-by-step explanation:
Have a good day :)
What is the sum of 5.3 x 10 5 and 3.8 x 104 in scientific notation?
5.3×10^5=53×10^4
53×10^4+3.8×10^4
=56.8×10^4
=5.68×10^5. Hope it help!
Answer:
5.68 x 10^5
Step-by-step explanation:
5.3 x 10^5 + 3.8 x 10^4 = 5.68 x 10^5
Mary noticed 5 ants in her pantry on Monday. On Tuesday she counted 15 ants in the pantry. On Wednesday she counted 45 ants in the pantry.
Part A
Determine an exponential function model to represent the number of ants in the pantry in terms of the number of elapsed days. Explain how you arrived at your model.
Part B
Using your exponential model predict how many ants would be in the pantry by Friday if the trend continues. Explain if your response is reasonable.
Part C
Does the problem situation represent exponential growth or decay? Justify your reasoning.
There are 3 apples, 4 oranges and 1 pear in a bag. Find each probability
1) Select an orange and then a pear(without replacement)
2)You select an orange then an apple then a pear without replacement
3)You select an Apple, then an orange, then another apple without replacement
Help please
Answer:
8 fruit total
1) orange probability: 4/8 = 1/2
pear probability after one fruit is taken out: 1/7
probability of getting one then the other without replacement: 1/2 x 1/7 = 1/14
2) orange: 1/2
apple: 3/7
pear: 1/6
probability of getting them in order without replacement: 1/2 x 3/7 x 1/6 = 1/28
3) apple: 3/8
orange: 4/7
apple: 2/6 = 1/3
probability of getting them in order without replacement: 3/8 x 4/7 x 1/3 = 1/14
Answer:2/6 or 33% chance of getting an apple, 3/24 or 13% of getting a pear and 13/24 or 54% chance of getting an orange hope that helps.
Step-by-step explanation:
-2(x+3)=-2x-6 solve for x
Answer:
-2x-6=-2x-6
-6=-6
infinity many solutions
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
All Real Numbers
Step-by-step explanation:
Alana is 2 years younger than Tommy and the
sum of their ages is 16. How old is Alana?
Answer:
7
Step-by-step explanation:
9 - 2 = 7
7 + 9 = 16
Mark as Brainliest
Solve the following system algebraically.
y = x2 +x
y = -x - 1
A) (-2,3)
B) (-1,0)
C) (0,0)
D) (-5,2)
Answer:
B
Step-by-step explanation:
-x - 1 = x^2 + x
x^2 + 2x + 1 = 0
(x+1)(x+1) = 0
x = -1 (double soution)
y = 1-1 =
y =0
(-1,0) = double solution
Judith randomly selected 20% of the
seventh-grade students in her school
and asked them their favorite genre of
music. Of these students surveyed 41
chose pop music as the favorite music
genre. Based on the data, what is the
most reasonable prediction of the
number of seventh-grade students in
her school who would choose pop
music as their favorite genre?
Group of answer choices
60
80
200
160
Answer:
200
Step-by-step explanation:
41 x 5 = 205
20% x 5 = 100%
the sum of 2 numbers is 18 while the product is -63. find the numbers.
Answer:
Step-by-step explanation:
let the numbers be x and y,then
x+y=18
x=18-y
also xy=-63
(18-y)y=-63
18y-y²=-63
y²-18y-63=0
y²-21y+3y-63=0
y(y-21)+3(y-21)=0
(y-21)(y+3)=0
y=21,-3
when y=21
x=18-21=-3
when y=-3
x=18-(-3)=18+3=21
so numbers are -3 and 21.
I need help! Please answer this quick!
Answer:
2.85 in²
Step-by-step explanation:
Area of triangle = 1/2 x base x height
1/2 x 1.9 x 3 = 2.85 in²
How much paint will you need to paint all sides of the box shown below? show work and use volume or surface area formula.
Answer: 100
Explanation: triangle area is l x h ÷ 2 rectangle area is l x h. 4 x 3 =12÷2 +12÷2 =12 11x4x2= 88 88+ 12=100.
What is the probability of the spinner landing on 2?
Answer:
1/4
I hope this helps!
Please mark brainliest.
1/4 or c.)
Hope this helped :T
Find the surface area of the rectangular prism
After the tour, Tyler’s mom bought a pretzel and a bottle of water for each family member. The bottles of water cost $1.50 each. If she paid a total of $30, how much did each pretzel cost? There were 5 family members
Answer:
4.50
Step-by-step explanation:
water + pretzels =total
5(1.50)+ 5x =30
7.50+5x=30
5x=22.50
x=4.50
Consider that x = −5 and y = −4. Which statement is true about x + y?
Question 17 options:
The sum of x and y is a rational number.
The sum of x and y is an imaginary number.
The sum of x and y is an irrational number.
The sum of x and y is neither rational nor irrational.
Answer:
The sum of x and y is a rational number.
Step-by-step explanation:
-5 + -4 = -9
-9 is a rational number
8
14
А
34°
11
b
A
b = 578.36
B
b = 7.85
С
b = 61.66
D
b = 24.05
9514 1404 393
Answer:
B. 7.85
Step-by-step explanation:
Your knowledge of the triangle inequality tells you 'b' cannot be greater than 11+14 = 25, eliminating choices A and C. If 'b' were 24.05, as suggested by choice D, the angle at B would be nearly a straight angle.
So, the only viable choice is b = 7.85.
__
Your knowledge of "special" triangles tells you that if B were 30°, then b would be 14/2 = 7.0. The angle is slightly larger than that, so the side opposite is slightly larger than 7.0.
__
In this geometry, the Law of Cosines would be used to find b. That relationship tells you ...
b = √(a^2 +c^2 -2ac·cos(B))
b = √(121 +196 -308·cos(34°)) ≈ √61.66 ≈ 7.85
_____
About special triangles
There are two "special" right triangles whose trig functions are not difficult to remember. They appear quite often in algebra, geometry, and trig problems, so remembering their properties can be useful.
A 30°-60°-90° right triangle has side lengths in the ratios 1 : √3 : 2. The shortest side is exactly half the length of the hypotenuse. This fact is what we referred to above.
A 45°-45°-90° isosceles right triangle has side lengths in the ratios 1 : 1 : √2. This is the triangle you get by drawing a diagonal in a square. These ratios tell you the diagonal of a square is always √2 times the side length.
Find the slope mathematics
Help please :))))))))
Answer:
10m The answer is D
Step-by-step explanation:
helppppppppppppppppp plssssssssssss
Answer:
(-10,-7)
Step-by-step explanation:
On the x-line, it is on -10. Therefore, we know that the x-value is -10. On the y-line, the y- value is -7. Therefore, the y-value is -7. Therefore, it is on the point (-10,-7)
If this helps please mark as brainliest
gave her a 4.50$ tip. The tip was 9% of the cost of the . Write an equation to find b, the cost?
Answer:
$50
Step-by-step explanation:
Here's a good formula I use for finding percentages.
4.50÷9x100=50
I had a calculator confirm this. The answer is $50.
And also, thanks so much for 50 points, that's really generous.