Two sisters, sister A and sister B, play SCRABBLE with each other every evening. Sister A is a statistician, and she draws a random sample of 30 results from the 1,420 total games that have been played to construct a confidence interval estimate of p, the proportion of SCRABBLE games between her and her sister that she has won. Her 95% confidence interval estimate of p is LCL = 0.36, UCL = 0.69.
A 95% confidence interval estimate of the total number of games sister A has won out of the 1,450 games that have been played is LCL =___________ and UCL = ___________
The Illinois State Toll Highway Authority is conducting a study to estimate the proportion of low-income commuters who drive to work on a toll road. The project manager wants to estimate the proportion to within 0.03 with 95% confidence, and the project manager believes that p will turn out to be approximately 0.11.
A sample size no smaller than __________ is needed.
Answer:
First question: LCL = 522, UCL = 1000.5
Second question: A sample size no smaller than 418 is needed.
Step-by-step explanation:
First question:
Lower bound:
0.36 of 1450. So
0.36*1450 = 522
Upper bound:
0.69 of 1450. So
0.69*1450 = 1000.5
LCL = 522, UCL = 1000.5
Second question:
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 zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
The project manager believes that p will turn out to be approximately 0.11.
This means that [tex]\pi = 0.11[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The project manager wants to estimate the proportion to within 0.03
This means that the sample size needed is given by n, and n is found when M = 0.03. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.96\sqrt{\frac{0.11*0.89}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.96\sqrt{0.11*0.89}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.11*0.89}}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.11*0.89}}{0.03})^2[/tex]
[tex]n = 417.9[/tex]
Rounding up
A sample size no smaller than 418 is needed.
If p(x) = (2x – 7)(7x + 2), what are the zeros of the polynomial?
Answer:
x=7/2 and x=-2/7
Step-by-step explanation:
By the Zero Product Property, we will set both expressions equal to 0 and solve:
p(x) = (2x-7)(7x+2)
0 = (2x-7)(7x+2)
2x-7=0 and 7x+2=0
2x=7 and 7x=-2
x=7/2 and x=-2/7
The factors of the polynomial are (2x – 7) and (7x + 2). Then the zeroes will be 7/2 and negative 2/7.
What is a factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The polynomial is given below.
p(x) = (2x – 7)(7x + 2)
Then the zeroes of the polynomial will be
The factor of the polynomial is already given. Then the zeroes will be
x = 7/2, -2/7
More about the factorization link is given below.
https://brainly.com/question/6810544
#SPJ2
A helicopter is 2,500 feet above sea level. A pirate ship sunk with buried
treasure off the coast of Florida 125 years ago. It's depth is 3,000 feet
below the helicopter. How many feet below sea level is the pirate ship?
Answer:
500 feet below sea level
Step-by-step explanation:
You would take 2,500 and subtract 3,000 feet giving you an answer of -500 feet. Which means it is 500 feet below sea level
If f(x) = (x – 2, then find f(-3).
Find the midpoint of the segment with the following endpoints (7-6) and (4-10)
Answer:
(5.5,2)
Step-by-step explanation:
Find the midpoint of the segment with the following endpoints (7-6) and (4-10)
The formula for calculating the x and y coordinate is expressed as
X = x1+x2/2
X = 7+4/2
X = 11/2
X = 5.5
Y = y1+y2/2
Y = -6+10/2
Y = 4/2
Y = 2
Hence the required midpoint is at (5.5,2)
Answer:
(5.5, -8)
Step-by-step explanation:
Edg 2021
what is the radius of 34.54
Answer:
If 34.54 is the diameter then 17.27 is the radius
Step-by-step explanation:
34.54 ÷ 2 = 17.27
!! IMPORTANT !!
Is it me or have i've been recently getting: "Explanation is in a file
or something like that in all of my questions I ask in brainly. its driving me crazy
:/
Answer:
Same
Step-by-step explanation:
I have been getting that too, its annoying bc I can't download it :(
What is the volume of a rectangular prism with the demensions: base 7 /2 cm, height 3 /2 cm, and length 9 /2 cm
Answer:
189/8 cm^3
Step-by-step explanation:
Given data
Base= 7/2 cm
Hieght= 3/2cm
Length= 9/2cm
We know that the expression for volume is
Volume = L*B*H
substitute our data
Volume= 7/2*3/2*9/2
Volume= 189/8 cm^3
Hence the volume is 189/8 cm^3
The blue whale, the fastest marine mammal, can travel 60 miles in 2 hours. The fastest fish, the sailfish, can travel 136 miles in 2 hours. How much faster is the sailfish than the blue whale?
A. 76 mph faster
B. 58 mph faster
C. 38 mph faster
D. 26 mph faster
Answer:
c 38
Step-by-step explanation:
i got it right on the quiz
Answer:
C
Step-by-step explanation:
22, 17. 12, 7... O Arithmetic
O Geometric
O Neither
please help marking brainliest if it's correct and explain
Answer:
mean means average so I think i should have first add all the numbers then divide by the number of the numbers I think that's the method if you don't see it correct then it's alright but I believe it's correct.
How does the slope of g(x) compare to the slope of f(x)? f(x) g(x) O The slope of g(x) is the opposite of the slope of f(x). O The slope of g(x) is less than the slope of f(x). The slope of g(x) is greater than the slope of f(x). O The slope of g(x) is equal to the slope of f(x). 43_-2-14 5 X -2
Answer: Tell me if i am wrong
The answer is 'The slope of g(x) is less than the slope of f(x)'
Step-by-step explanation:
Given the graphs of f(x) and g(x). we have to compare the slops of these two.
The graph of f(x) passes through the points (1,0) and (2,2)
∴ The slope of [tex]f(x) = \frac{y2-y1}{x2-x1}=\frac{2-0}{2-1} = 2[/tex]
The graph of g(x) passes through the points (0,2) and (2,3)
∴ The slope of [tex]g(x)=\frac{y2-y1}{x2-x1} =\frac{3-0}{2-0} =\frac{1}{2}[/tex]
As [tex]\frac{1}{2} <2[/tex]
This shows that the
The slope of g(x) is less than the slope of f(x).
Is -5>2 true or false explain your answer
Answer:
It's false
Step-by-step explanation:
it's false because the number that is closer to 0 is the greater number so it would be 2> -5
Which graph represents the equation y = - 4/3 x - 2 ?
6=24(x+1)^2 what is the answer simplified
Answer:
hi can i fu k u
Step-by-step explanation:
The answer is:
-0.5, -1.5
Find the missing term in the
geometric sequence.
13,[ ? 1,208
Answer:
?=52 or ?=-52
Step-by-step explanation:
Find the geometric mean:
?=sqrt(13*208)
?=sqrt(2704)
?=±52
So ? can be either 52 OR -52. Keep in mind that since we have an odd number of terms in the sequence, -52 is a possible missing term.
13*4=52, 52*4=208
13*-4=-52, -52*-4=208
Examine the following diagram
BI
75 32
3
26592
3
D
75 32"
2859
E
© 2019 StrongMind Created using GeoGebra
If AABC 4AADE, what is the length of AE?
07
04
6
03
9514 1404 393
Answer:
(a) 7
Step-by-step explanation:
The congruence statement tells you that AC ≅ AE. AC is marked as 7, so ...
AE = 7
_____
Additional comment
If you solve the triangle using the Law of Sines, you find that AC = AE = 6.484, not 7.
1/2 (4x-8y) expanded
Answer:
Step-by-step explanation:
2x - 4y is expanded
find the volume and surface area of each solid. you may use a calculator and use 3.14 as an approximation for pi
Answer:
Area = 452.16 cm²
Volume = 904.32 cm³
Step-by-step explanation:
The solid is a sphere, therefore,
Volume = ⁴/3πr³
Where,
π = 3.14
r = 6 cm
Volume = ⁴/3*3.14*6³
Volume = 904.319997 ≈ 904.32 cm³ (nearest hundredth)
Area = 4πr²
Area = 4*3.14*6²
Area = 452.16 cm²
Ryan just got hired for a new job and will make $48,000 in his first year. Ryan was
told that he can expect to get raises of $3,500 every year going forward. How much
money in salary would Ryan make in his 24th year working at this job?
Answer:
$128,500
Step-by-step explanation:
Find out how much he will earn from his 1st year to 24th.
1st year = 48000
2nd year = 48000 + 3500 = 51500
3rd year = 51500 + 3500 = 55000
4th year = 55000 + 3500 = 58500
5th year = 58500 + 3500 = 62000
6th year = 62000 + 3500 = 65500
7th year = 65500 + 3500 = 69000
8th year = 69000 + 3500 = 72500
9th year = 72500 + 3500 = 76000
10th year = 76000 + 3500 = 79500
11th year = 79500 + 3500 = 83000
12th year = 83000 + 3500 = 86500
13th year = 86500 + 3500 = 90000
14th year = 90000 + 3500 = 93500
15th year = 93500 + 3500 = 97000
16th year = 97000 + 3500 = 100500
17th year = 100500 + 3500 = 104000
18th year = 104000 + 3500 = 107500
19th year = 107500 + 3500 = 111000
20th year = 111000 + 3500 = 114500
21st year = 114500 + 3500 = 118000
22nd year = 118000 + 3500 = 121500
23rd year = 121500 + 3500 = 125000
24th year = 125000 + 3500 = 128500
Using distributive property write 42+63
Answer:
7(6+9)
Step-by-step explanation:
If AB = 10 and AC=7 , find m B. Round to the nearest tenth of a degree.
I got 9.379
bru-h it's making me type more
A reading specialist wanted to estimate the mean word length, in number of letters, for an elementary school history textbook. The specialist took repeated random samples of size 100 words and
estimated the mean and standard deviation of the sampling distribution to be 4.9 letters and 0.15 letter, respectively.
Based on the estimates for the sampling distribution, which of the following provides the best estimates of the population parameters?
Answer:
Mean 4.9 letters and standard deviation 1.5 letters
Step-by-step explanation:
Find the measure of each interior angle of the shown figure *
Step-by-step explanation:
Formula to find interior angles of regular polygon=(n-2)180×n
N= number of sides
in figure sides are 5
So,
(5-2)×180
3×180
540 Answer
Answer:
108°
Step-by-step explanation:
Measure of each interior angle
[tex] = \frac{(n - 2) \times 180 \degree}{n} \\ \\ = \frac{(5 - 2) \times 180 \degree}{5} \\ \\ = \frac{3\times 180 \degree}{5} \\ \\ = \frac{540\degree}{5} \\ \\ = 108 \degree[/tex]
2(x+50)=16+4x
What is x?
Answer:
x=42
Step-by-step explanation:
Write the equation.
2(x+50)=16+4x
Spread the parentheses
2x+100=16+4x
Put variables on one side, numbers on the other.
2x-4x=16-100
Add/subtract/multiply/divide the variables with variables and numbers with numbers.
-2x=-84
Make x alone
-x=-42
Flip sides to make x positive
42=x
7000×3
help me plssßsssssssssssssssss
Answer: 21000
its 21000 hope this helps have a good rest of day/night :D <3
Step-by-step explanation:
Using the Substitution Method, find the value of y in the below system of equations?
-2y = 4x – 4
7x = -4y + 10
Answer:
y = 6
Step-by-step explanation:
-2y = 4x – 4
y = -2x + 2
7x = -4(-2x+2) + 10
7x = 8x-8+10
7x = 8x+2
7x -2 = 8x
-2 = x
plug this into the first equation and the value of y is 6
The value of y using substitution method on the given simultaneous equations is; y = -2
We are given the equations;
-2y = 4x - 4 - - -(eq 1)
7x = - 4y + 10 - - - (eq 2)
From eq 1, divide through by -2 to isolate y;
y = -2x + 2
Substitute -2x + 2 for y in eq 2 to get;
7x = -4( -2x + 2) +10
Expand the bracket to get;
7x = 8x - 8 + 10
7x = 8x + 2
8x - 7x = 2
x = 2
Put 2 for x in y = -2x + 2 to get;
y = - 2(2) + 2
y = -4 + 2
y = -2
Read more about substitution method at; https://brainly.com/question/16863577
In the summer time your friend wants to have a snow cone stand at a local grocery store parking lot. You want to make sure he actually makes money. The grocery store charges $300 per month. All products are calculated to be 25 cents per customer. Your plans are to sell each cone for $1.25.
a. Write a mathematical expression representing the cost of operation for a month.
b. Write a mathematical expression representing sales.
c. Create an equation that will represent overall profit of the operation for a month.
d. Simplify the equation into slope intercept form and standard form. What is the slope and explain its meaning in the context of selling snow cones? What is the intercept and what is its meaning?
e. Describe the method of graphing the slope intercept form and also the standard form of the equation.
f. What is the domain and range of the equation? Is the relation a function, why?
g. How many snow cones do you need to sell to break even in the first month?
h. How much is the profit if you sell 425, 550 or 700 snow cones in the first month of business?
Answer:
31.25 is the answer at your question
What is the answer no link no links I will report the answer is not 70%
Answer:
75%
Step-by-step explanation:
Answer:
75%
Step-by-step explanation:
In a box-and-whisker plot, the whiskers show the minimum and maximum while the edges of the box show the first and third quartiles. The line in the box shows the median.
Quartile means a quarter of the data.
We're trying to find out what percentage of the students scored between 70 and 100.
70 is right on the 1st quartile mark, while 100 is on the maximum mark.
This means that a quarter of students got lower than 70, and nobody scored over 100 (because it's a test and it's calculated in percentage).
If a quarter of students got lower than 70, that means three-quarters of students got 70 or higher. And since the maximum is 100, and that is also what we're trying to find, the answer is 3/4 of all students.
3/4 = 75%
Hence, the answer is 75%.
What is the ratio of -1,6,-36,216
Answer:
-6
Step-by-step explanation:
hope this helped <3