Answer:
The 90% confidence interval for the proportion of all letters mailed in the United States that were delivered the day after they were mailed is (0.7426, 0.8374). The lower limit is 0.7426 while the upper limit is of 0.8374.
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].
Suppose that 158 out of a random sample of 200 letters mailed in the United States were delivered the day after they were mailed.
This means that [tex]n = 200, \pi = \frac{158}{200} = 0.79[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.79 - 1.645\sqrt{\frac{0.79*0.21}{200}} = 0.7426[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.79 + 1.645\sqrt{\frac{0.79*0.21}{200}} = 0.8374[/tex]
The 90% confidence interval for the proportion of all letters mailed in the United States that were delivered the day after they were mailed is (0.7426, 0.8374). The lower limit is 0.7426 while the upper limit is of 0.8374.
kelly bought 3 movie tickets and spent $39.60. each ticket cost the same amount. which equation can be used to solve for p, the amount each ticket cost?
a. 3+p= 39.60
b. p-3= 39.60
c. 39.60=30
d. 39.60 = p/3
Answer:
It's D
Step-by-step explanation:
since kelly bought three tickets, you divide by three to find the cost of each individual ticket
I NEED HELP ON THE 2 PROBLEMS PLEASEE
Answer:
1. $7.39/hour 2. $0.75/foot
Step-by-step explanation:
1. 66.5/9= about 7.39 dollars
2. 15.75/21=0.75 dollars
Need full answer quick please help
Answer:
Line 1 contains an error.
Step-by-step explanation:
2k^2 and 2 are fine but 2k and 1k don't make 5k since when you add it you would get 3k.
PLS HELPS WILL GIVE BRAINLIEST
Answer:
the second 1
Step-by-step explanation:
brainlest?
BRAINLIEST PLEASE HELP
EASY 7TH GRADE MATH
WILL MARK BRAINLIEST
SHOW WORK!!
What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 4.5?
A) Perimeter = 46 cm, area = 131.25 cm2
B) Perimeter = 126 cm, area = 972 cm2
C) Perimeter = 46 cm, area = 972 cm2
D) Perimeter = 126 cm, area = 131.25 cm2
find the mean, median and mode {17, 11, 8, 15, 28, 20, 10, 16}
Answer:
mean: 15.6
median: 15.5
mode: no mode
Step-by-step explanation:
The bottom part of this block is a rectangular prism the top part is a square pyramid you want to cover the block entirely with paper how much paper do you need base is 6 cm height is 5 cm angle is 4 cm
look up the fomulas and plug stuff in
Freya drinks 8 ounces of milk each day. Let m represent the number of ounces of milk Freya drinks in d days
Answer:
m = d times 8
Step-by-step explanation:
Please help me solve this problem
Answer:
D, 225
Step-by-step explanation:
Because this equation already has a1, it's useless to test with that, so instead solve for a2.
You would have a2 - 5a1, which would get you a2 = 5(9) because we already know what a1 is, which is 9. a2 = 45
Now we have a2, which is 45, so now we solve for a3
We would have a3 = 5a2 = a3 = 5(45) which is 225 which is a3
Also thanks for the fat 18 points dude, you really put 36 points into this one big value hope this one helped you a lot
Two babies, Carter and Alyssa, were due on the same day. Carter was born 9 days before his due date. If Alyssa was born two weeks after Carter, how many days past her due date was she born?
a
23 days
b
5 days
c
– 5 days
d
– 23 days
This table shows the number of students at a school in the years 2014-2016, 2014 1,030 students 2015 ? students 2016 1,300 students.In 2015, there were more students than in 2014 but fewer than in 2016. Which could be the number in 2015?
Answer:
it could be the number in 2015 is 2,330
Step-by-step explanation:
Just add the number of the students in 2014-2016.
1,030+ 1,300=2,330
the circle shown has a diameter of 70 and a circumference of 219.91. Which of the following could be used to determine the value of 3.1 HELP
70 =
219.91 =
(That's what math.way told me)
There are 3 liters of orange juice at the school party. 10 students want to drink all of the orange juice, and they all want to get exactly the same amount. How much orange juice can each get. (enter answer as a fraction or a mixed number) Write a number sentence that represents the problem
Answer:
0.3 liters each student
Step-by-step explanation:
3 liters = 3.000 ml so 3.000(ml) : 10(students) =300 ml which is 0.3 liters
brainliest to correct obv
Answer:
21
Step-by-step explanation:
If you multiply 7x6 and add two you will get an answer of 21
Hope it helps
Answer:
»» [tex]7\div \frac{2}{6}=21[/tex]»»««•••»»««•••»»««•
Solution »»[tex]7\div \frac{2}{6}[/tex]
[tex]\:7=\frac{7}{1}[/tex]
[tex]=\frac{7}{1}\div \frac{2}{6}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]
[tex]=\frac{7}{1}\times \frac{6}{2}[/tex]
[tex]\mathrm{Apply\:rule}\:\frac{a}{1}=a[/tex]
[tex]=7\times \frac{6}{2}[/tex]
[tex]\frac{6}{2}=3[/tex]
[tex]=7\times \:3[/tex]
[tex]=21[/tex] ✓
⋇⋆✦●○⋇⋆✦●○
hope it helps..
have a great day!!
Which numerical pattern is linear?
A.0, 1, 4, 9,
B.1, 2, 4, 8, ...
C.1, 3, 6, 10, ...
D.2, 4, 6, 8, ...
Answer:
D.2, 4, 6, 8, ...
Step-by-step explanation:
This is linear because all successive terms in the numerical pattern have the same difference between them.
Identify the range of the function shown in the graph.
10
17
A. All positive real numbers
B. All real numbers
C. 20
D. All positive integers
Answer:
I believe the answer is B) All real numbers
What is the domain of the function y=^3Vx?
Answer:
y=^3Vx is the domain function
Which value is an outlier in the data set shown below?
24, 26, 30, 28, 75, 25, 31
What are the features of the function f(x) = –2 (2)x + 4 graphed below?
Answer:
Plot each graph on the same coordinate system.
f(x)=−2
(2)x+4
Step-by-step explanation:
Can someone help me with question 1 and 2 please
Answer:
Didn't post the picture
Step-by-step explanation:
sec0 = -[tex]\frac{13}{12}[/tex] and cot0 < 0, find exact values of tan0 and sin0.
Answer:
tan 0 = -2.4
sin 0 = 0.3846
Step-by-step explanation:
sec 0 = -13/12, and cot 0 < 0
the angle 0 is in quadrant II
sec 0 = -13/12 = cos 0 = -12/13 = x/r
=> y = √13²-12²=√169-144=√25=5
so,
tan 0 = y/x = -12/5 = -2.4
sin 0 = y/r = 5/13 = 0.3846
Answer:
Solution given;
Sec θ=-[tex]\frac{13}{12}[/tex]
cotθ< 0,
It lies in second quadrant.
where sin and cosec is positive.
Now
[tex] \frac{1}{cosθ}=-\frac{13}{12}[/tex]
cosθ=[tex]\frac{12}{13}[/tex]
[tex]\frac{b}{h}[/tex]=[tex]\frac{12}{13}[/tex]
b=12
h=13
By using Pythagoras law
p=[tex] \sqrt{13²-12²}=5 [/tex]
Now
exact values of tan θ=[tex]\frac{p}{b}[/tex]=[tex]\frac{5}{12}[/tex]
since it lies in II quadrant
tan θ=-[tex]\frac{5}{12}[/tex]
and
sinθ=[tex]\frac{p}{h}[/tex]=[tex]\frac{5}{13}[/tex]
since it lies in II quadrant
sin θ=[tex]\frac{5}{13}[/tex]
17
Here are ticket prices for a theme park.
Single tickets
Adult £48 Child £26
Special offer tickets
1 adult and 2 children £82
2 adults and 2 children £120
17 (a)
Freya buys tickets for 3 adults and 4 children.
She pays the cheapest possible total cost.
How much does she save compared to buying all single tickets?
Answer:
She saved $46
Step-by-step explanation:
1. Price for 3 adults would be $144
2. Price for 4 children would be $104
3. Total price for individual tickets would be $248
4. She bought 1 of [Combo 1] and 1 of [Combo 2]
5. Therefore, she paid $202
6. She saved $46
4+3.2)×(9−2)+2.5
No links hellp meeee!
Answer:
52.9
??
Step-by-step explanation:
20)
The cost (C) of materials for a deck varies jointly with the width (w) and the length (1).
If c = $470.40 when w = 12 and 1 = 16, find the cost when w = 10 and I = 25? Be sure to respond in
complete sentence that explains your answer in relation to the question
Answer:
u mad bruv? xD Xd DxD XDXDXDdd
Step-by-step explanation:
in an examination for final student of a school 60 offered history, 50 economics and 48 literature, 30 Offered history and economics 16 Offered history and literature 22 offered economics and literature if 10 candidates offered all the three subject find
1: the number that offered history
2:the number that offered only economics
3:the number that offered only literature
4:how many candidates sat for the examination assuming that each candidate sat for at least one subject
Step-by-step explanation:
A 106 offered history to students
What is formula for area of the base of a cylinder? A) Area = Pi/r. B) Area= Pi *r C) A= Pi* r ^. or. (r*r). D) A= diameter* radius
Answer:
The formula for the area of the base of a cylinder is π r²
14. Which of the following ratios is not equal
to the ratio 12:36?
(1) 3:9
(2) 5:15
(3) 9:36
(4) 10:30
(5) 16:48
12:36 = 1:3,
3:9 = 1:3
5:15 = 1:3
9:36 = 1:4
10:30 = 1:3
16:48 = 1:3
So, 9:36 is the answer.
what is the additive inverse of the complex number 9-4i?
B on edg
-9+4i
Answer:
-9 + 4i
Step-by-step explanation:
The additive inverse ("opposite") of a complex number a + bi is -a - bi.
Just use the opposites of a and b.
A random sample of 12 families were asked how many kids they had. The data are given below. According to the US Census, families have on average 2.4 kids per family. What is the p-value for the alternative hypothesis that the average number of kids per family is different than the US Census value?
1 1 2 2 2 3 3 3 3 4 4 6
A) p-value = 1.070.
B) p-value = 0.154.
C) p-value = 0.846.
D) p-value = 0.308.
Answer:
0.308
Step-by-step explanation:
Given the data:
1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 6
We need to obtain the sample mean and sample standard deviation :
Sample mean, xbar = Σx/n
Where n = sample size (1+1+2+2+2+3+3+3+3+4+4+6) / 12 = 2.833
Sample standard deviation, s
Using the formula :
s = √Σ((x - xbar)² / n-1)
s = 1.40
Hypothesis :
H0 : μ = 2.4
H1 : μ ≠ 2.4
The test statistic :
(xbar - μ) ÷ (s/√(n))
(2.833 - 2.40) / (1.40/sqrt(12))
Test statistic = 1.0713
Using the Pvalue from Test score calculator :
df = n - 1 = 12 - 1 = 11 ; two tailed
Pvalue(1.071, 11)
= 0.3069
= 0.307
Choose the correct answers.
AUTOMOBILE LIABILITY BASIC INSURANCE PREMIUMS
Coverage Class 1A Class 10 Class 10 Class 2A Class 2B Class 3
Bodily Injury
(in $1,000's):
10/20
50/100
100/300
Property Damage
$5,000
$10.000
$25.000
317.80
383.60
407.50
365.40
440.70
480.90
413.40
497.80
530.92
587.00
709.30
751.88
.
761.00
917.90
976.96
428.40
517.60
549.70
61.00
67.00
73.20
69.40
76.20
84 80
79.80
87.80
96.80
113.40
124.80
136.00
163.80
180.00
196.00
THE
81.80
90.00
98 20
Class 1A: No male driver under 25 car not used for business and not driven to or from work
Class 1B: No male driver under 25: car not used for business and driven to work fewer than
ten miles away
Class 1C: No male driver under 25; car not used for business and driven to work at least ten
Class 2A: One or more male drivers under 25 who are married or are not owner(s) of the car.
Class 28: Unmarried male driver under 25 who is owner of the car.
Class 3: No male driver under 25 car used for business
Sue Jones is insured for bodily injury in the amount of 10/20. She is at fault in an accident in which Albert
Smith is injured. Also injured in the accident is a pedestrian, Sam Dickson. Albert's medical expenses
total $12,000, Sam's come to $8,000. How much will the insurance pay?
a. for Albert
b. for Sam
c. total