A 98% confidence interval for a proportion is found to be (0.72, 0.78). What is
the sample proportion?
Answers
Answer: 0.75 appex
Step-by-step explanation:
The sample proportion is 0.75 if 98% confidence interval for a proportion is found to be (0.72, 0.78) option (C) is correct.
What is a confidence interval for population standard deviation?It is defined as the sampling distribution following an approximately normal distribution for known standard deviation.
The formula for finding the confidence interval for population standard deviation as follows:
[tex]\rm s\sqrt{\dfrac{n-1}{\chi^2_{\alpha/2, \ n-1}}} < \sigma < s\sqrt{\dfrac{n-1}{\chi^2_{1-\alpha/2, \ n-1}}}[/tex]
Where s is the standard deviation.
n is the sample size.
[tex]\chi^2_{\alpha/2, \ n-1} and \chi^2_{1-\alpha/2, \ n-1}[/tex] are the constant based on the Chi-Square distribution table:
α is the significance level.
σ is the confidence interval for population standard deviation.
Calculating the confidence interval for population standard deviation:
We know significance level = 1 - confidence level
From the data the margin of error = (0.78 - 0.72)/2
MOE = 0.03
98% Confidence interval for a sample proportion:
n - 0.03 = 0.72
n + 0.03 = 0.78
The interval is (0.72, 0.78)
The sample proportion = 0.75
Thus, the sample proportion is 0.75 if 98% confidence interval for a proportion is found to be (0.72, 0.78) option (C) is correct.
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Related Questions
PLEASE HELP PLEASE HELP
the solution to a system of linear equations who has only one solution is always
A- a fraction
B- a coordinate pair
C- a negative number
D-a decimal
Answers
Answer:
The point where the two lines intersect is the only solution. An inconsistent system has no solution.
Step-by-step explanation:
you have to study
Answer:
[tex]\huge\colorbox{red}{B)a coordinate pair}[/tex]
Step-by-step explanation:
the solution to a system of linear equations who has only one solution is always a coordinate pairsee an example in the graph:
a system of linear equation which has a solution:
[tex]\begin{cases}x+y=5\\x-y=3\end{cases}[/tex]
we can see the graph of the system of linear equation that it one solution is a coordinate pair (4,1)
(SAT Prep) Find the value of x.
Answers
Answer:
x = 65°Step-by-step explanation:
2x and 50° are supplementary angles
2x + 50° = 180°2x = 130°x = 130°/2x = 65°Answer:
65
Step-by-step explanation:
2x+2x=4x
4x+50+50=360
4x+100=360
4x=260
x=65
5
B
C
Find the composition of
transformations that
map ABCD to EHGF.
Reflect over the [? ]-axis,
then translate
(x+[ ], y+[ ]).
Note: Enter x ory for axis.
4
3
2
D
H
4
813
2
1
0
4
6
7
Answers
Answer:
Step-by-step explanation:
Reflect over the Y axis, then translate (x+[-2], y+[-3])
The composition of transformations that map ABCD to EHGF will be [(x + 6), (y + 1)].
What is geometric transformation?Change is referred to as transformation. As a result, a geometric transformation entails making modifications to any geometric shape.
Vertices of the quadrilateral ABCD having coordinate A,B,C,D are (-5, 2),(-3, 4), (-2, 4),(-1, 2) respectively.
The image quadrilateral A'B'C'D' is formed by reflecting the supplied quadrilateral ABCD across the x-axis.
The rule for a point's reflection across the x-axis is:
(x, y) → (x , -y)
The picture point A' coordinates will be,
A(-5, 2) → A'(-5, -2)
Point E is produced by translating point A', as shown in the diagram. The rule for translating a point by h units right and k units up is as follows:
A'(x+h, y+k) → E(x', y')
By comparing coordinates of A' and E,
-5 + h = 1
h = 6
-2 + k = -1
k = 1
That is to say, the translation rule will be:
[(x + 6), (y + 1)]
Hence, the composition of transformations that map ABCD to EHGF will be [(x + 6), (y + 1)].
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Hi all I am new here and I have this for you (Have fun )
Answers
Answer:
I have corrected the DB value calculation.
A factory uses a special kind of lubricant to maintain its two milling machines. Weekly lubricant usage for each machine is an independent random variable (zero correlation). The first machine has a mean usage of 50.6 gallons and standard deviation of 12 gallons. The second machine has a mean usage of 64.4 gallons and standard deviation of 16 gallons.
Suppose that at the beginning of the week, the factory has a total of 135 gallons of lubricant in stock. The factory will not receive any replenishment of lubricant from its supplier until the end of the week. Assume that the total lubricant usage (of the two machines combined) follows a normal distribution. What is the probability that the factory will run out of lubricant before the next replenishment arrives?
Answers
Answer:
0.1587 = 15.87% probability that the factory will run out of lubricant before the next replenishment arrives
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Addition of normal variables.
When we add two normal variables, the mean is the sum of the separate means, and the standard deviation is the square root of the sum of the variances. So
The first machine has a mean usage of 50.6 gallons and standard deviation of 12 gallons. The second machine has a mean usage of 64.4 gallons and standard deviation of 16 gallons.
Total consumption is of both machines, combined. So
[tex]\mu = 50.6 + 64.4 = 115[/tex]
[tex]\sigma = \sqrt{12^2 + 16^2} = 20[/tex]
What is the probability that the factory will run out of lubricant before the next replenishment arrives?
Probability of consuming more than 135 gallons, which is 1 subtracted by the pvalue of Z when X = 135. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{135 - 115}{20}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a pvalue of 0.8413
1 - 0.8413 = 0.1587
0.1587 = 15.87% probability that the factory will run out of lubricant before the next replenishment arrives
An illustration of a cell interacting with its environment is provided.
Call membrane
The illustration best represents which of the following?
Water moving into a cell by the process of osmosis
2 Ο Ο Ο Ο.
Passive transport of solute into the cell by diffusion
Active transport of solute into the cell using energy
Water leaving the cell by the process of osmosis
Answers
Answer:
the 1st one
Step-by-step explanation:
thank u and have a nice day and i hope this helped
Sam sold 75% of his cars. If he originally had 50 cars, how many cars did he sell? How many cars does he still have?
Answers
We are given a table that displays the current value of information technology giant, Cisco Inc. Using the table below, determine the closing price of Cisco Systems stock the previous day. A 9-column table with 1 row. Column 1 is labeled 52-week high with entry 15.34. Column 2 is labeled 52-week low with entry 14.88. Column 3 is labeled stock with entry C S C O. Column 4 is labeled Dividend with entry 0.15. Column 5 is labeled yield percentage with entry 0.997. Column 6 is labeled P E with entry 11.97. Column 7 is labeled Volume 100 s with entry 563,063. Column 8 is labeled close with entry 15.04. Column 9 is labeled net change with entry negative 0.02. a. $14.86 c. $15.06 b. $14.90 d. $15.04
Answers
Answer:
$15.06 answer C
Step-by-step explanation:
The previous day's closing price of Cisco Systems stock was $15.06. The correct option is c.
The closing price of Cisco Systems stock the previous day was $15.06.
We can see from the table that the "close" price listed in column 8 is $15.04 and the "net change" listed in column 9 is negative 0.02. This means that the stock price decreased by $0.02 from the previous day's closing price.
To find the previous day's closing price, we need to add the net change of -$0.02 to the current day's closing price of $15.04:
$15.04 + (-$0.02) = $15.02
Thus, the correct option is c.
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A caterer makes sandwiches from 8 loaves of bread. Each loaf makes 10 sandwiches. The caterer puts 3 ounces of turkey on each sandwich. How many ounces, z, of turkey does the caterer use?
Answers
Answer:
240 ounces of turkey
Step-by-step explanation:
10x8=80
80x3=240
Given that x = -2, find the value of h(x)= -3x2 + 5.
Answers
Answer:
h(-2) = -3(-2)(2)+5 = 17
Step-by-step explanation:
h(-2) = -3(-2)(2)+5 = 17
A system of equations is graphed on the grid.
у
(1,5)
(-4,4)
(-1,3)
(-1,-2)
Which system of equations does the graph represent?
Answers
Answer:
The correct answer is
B) y=x+4
y=-2x-4
Simplify: 10 divided by 1/4
1) 40
2) 1/40
3) 2 and 1/2
4) 20
Answers
Answer:
1
Step-by-step explanation:
10*4=40
so 1
I will give brainliest to whoever answers RIGHT.
Answers
Answer:
it's 3.4
Step-by-step explanation:
hope this helps have a nice day
what is one sixth of the product of four and nine
Answers
Answer:
6
Step-by-step explanation:
The product of four and nine is 36.
If you make 1/6 into a decimal, then multiply it by 36 you get 6!
I hope this helps, and have a great day! :)
Answer:
6
Step-by-step explanation:
4*9=36
6/6=36
36*1/1*6
36/6
6
Starting at 6 a.m. every morning, Matilda receives text messages on her cell phone from her mother, her best friend, and her brother according to three independent Poisson processes. Her mother texts Matilda on average once every hour. Her best friend sends a message once every 10 minutes, and she receives messages from her brother every 30 minutes.
A) Find the probability that by 7:30 a.m. Mary receives exactly four messages – two of her best friend and two of her mother.
B) With a chance of 75% a text message contains a typo independent of the sender. Find the probability that there are no typos in the text messages Matilda receives between 2 p.m. and 5 p.m.
Answers
Answer:
a) 0.0013 = 0.13% probability that by 7:30 a.m. Mary receives exactly four messages – two of her best friend and two of her mother.
b) [tex]1.6 \times 10^{-9}[/tex] probability that there are no typos in the text messages Matilda receives between 2 p.m. and 5 p.m.
Step-by-step explanation:
Poisson distribution:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
A) Find the probability that by 7:30 a.m. Mary receives exactly four messages – two of her best friend and two of her mother.
Two from the best friend:
Her best friend sends a message once every 10 minutes.
From 6 to 7:30, there is an hour and a half, that is, 90 minutes, so the mean for her best friend is [tex]\mu = \frac{90}{10} = 9[/tex]
Two messages is P(X = 2). So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 2) = \frac{e^{-9}*9^{2}}{(2)!} = 0.0050[/tex]
Two from the mother:
Message every hour = 60 minutes. So [tex]\mu = \frac{90}{60} = 1.5[/tex]. This is P(X = 2).
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 2) = \frac{e^{-1.5}*1.5^{2}}{(2)!} = 0.2510[/tex]
Two of her best friend and two of her mother:
Independent events, so the probability of both happening is the multiplication of their separate probabilities.
[tex]p = 0.005*0.251 = 0.0013[/tex]
0.0013 = 0.13% probability that by 7:30 a.m. Mary receives exactly four messages – two of her best friend and two of her mother.
B) With a chance of 75% a text message contains a typo independent of the sender. Find the probability that there are no typos in the text messages Matilda receives between 2 p.m. and 5 p.m.
In 3 hours, she is expected to receive:
3*60/10 = 18 messages from her best friend.
3*60/60 = 3 messages from her mother.
3*60/30 = 6 messages from her brother.
In total, 27 messages.
75% probability of a typo, so [tex]\mu = 0.75*27 = 20.25[/tex]
This is P(X = 0).
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-20.25}*20.25^{0}}{(0)!} = 1.6 \times 10^{-9}[/tex]
[tex]1.6 \times 10^{-9}[/tex] probability that there are no typos in the text messages Matilda receives between 2 p.m. and 5 p.m.
find the 3 points ........
Answers
Answer:
(0,-7)
(4, -4)
(8, -1)
Step-by-step explanation:
(0,-7)
(4, -4)
(8, -1)
Hope I helped!
In trapezul ABCD, AC apartine BD = {O}, BD = 35 cm, iar CO/OA=3/4. Calculati lungimile segmentelor OA si OB
Answers
Answer:
We have been attempting to reach you about your car's extended warranty.
Step-by-step explanation:
please help!!
pic below
Answers
Answer:
A !
Step-by-step explanation:
1 +2 = 3
1 x 1 = 1
8 x 3 = 24 !!
3 1/24
i hope this helps !
Answer:
5/8
Step-by-step explanation:
Which expression shows the factors of 2y^2 - 2y- 4?
A. 2(y-2)(y - 1)
B. 2(y-2)(y + 1)
C. 2(y-1)(y - 2)
D. 2(y- 1)(y + 2)
Answers
Answer:
b
Step-by-step explanation:
What is another way to write a2 b3 c2 d?
Answers
Answer:
A+A+B+B+B+C+C+D
Step-by-step explanation:
it's just the letter wrote the amount of times the number says
The following stem-and-lead plot shows the One record attendance for original Charity Drive meetings what is the mode of these values?
A.)48
B.) 84
C.) 70
D.) 66
Answers
Answer:
CHOOSE A. 48
Step-by-step explanation:
Because its easy just do it.
Given f(x) = 7x^9, find f^-1 (x). Then state whether f^-1 (x) is a function
Answers
Step-by-step explanation:
The inverse of a function is the function reflected across the line y=x. This results in the coordinate points (x,y) of the function becoming (y,x) for the inverse function. Algebraically to find the inverse, switch the x and y locations and solve for y.
y = 7x^9
x = 7y^9
x/7 = y^9
(9)√(x/7) = y
This is a ninth root of (x/7) also written in exponents as y = (x/7)^(1/9).
This is a function. While it appears not to be a function because the middle portion over the origin appears vertical, it is a function because the middle portion over the origin is changing and graphing software shows it has no input with more than one output. Without graphing software you would rule it is not a function.
76% of 250 is what number?
Answers
76% of 250 is 190
hope this helps :)
I just feel like doing a challenge. Dont actually need help, so if you dont feel like answering, no problem. But what is 321 times 67. Don't use calculator, and first to get it right will get brainliest (:
Answers
Answer:
21507
Step-by-step explanation:
A 6-foot roll of butcher paper costs $1.44. What is the price per inch?
Answers
The price per inch of butcher paper is $0.02.
What is a word problem?"A word problem is a verbal description of a problem situation wherein one or more questions are posed, the answers to which can be obtained by the application of mathematical operations to information (usually numerical data) available in the text".
For the given situations,
A 6-foot roll of butcher paper costs = $1.44. Then
1-foot roll of butcher paper costs = [tex]\frac{1.44}{6}[/tex]
⇒ [tex]\$0.24[/tex]
1 foot = 12 inches
⇒ 12 inches roll of butcher paper costs = $0.24
Therefore, 1-inch roll of butcher paper costs = [tex]\frac{0.24}{12}[/tex]
⇒ [tex]\$0.02[/tex]
Hence we can conclude that the price per inch of butcher paper is $0.02.
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22+b-c=
Can anyone help me pleaseeeee
Answers
Answer:
I don't understand what you want me to answer.
Step-by-step explanation:
5 x + 2 = 22
What is
Answers
Answer:
Step-by-step explanation:
5x + 2 = 22
Bringing like terms on one side
5x = 22 - 2
5x = 20
x = 20/5 = 4
A study was conducted on students from a particular high school over the last 8 years. The following information was found regarding standardized tests used for college admitance. Scores on the SAT test are normally distributed with a mean of 1117 and a standard deviation of 194. Scores on the ACT test are normally distributed with a mean of 21.9 and a standard deviation of 3.8. It is assumed that the two tests measure the same aptitude, but use different scales.
If a student gets an SAT score that is the 77-percentile, find the actual SAT score.
SAT score =
Round answer to a whole number.
What would be the equivalent ACT score for this student?
ACT score =
Round answer to 1 decimal place.
If a student gets an SAT score of 1544, find the equivalent ACT score.
ACT score =
Round answer to 1 decimal place.
Answers
Answer:
The actual SAT score is 1260.6.
The equivalent ACT score for this student(77th percentile) is 24.7.
The equivalent ACT score to a SAT score of 1544 is 30.26.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
SAT:
[tex]\mu = 1117, \sigma = 194[/tex]
ACT:
[tex]\mu = 21.9, \sigma = 3.8[/tex]
If a student gets an SAT score that is the 77-percentile, find the actual SAT score.
This is X when Z has a pvalue of 0.77. So X when Z = 0.74.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.74 = \frac{X - 1117}{194}[/tex]
[tex]X - 1117 = 0.74*194[/tex]
[tex]X = 1260.6[/tex]
The actual SAT score is 1260.6.
What would be the equivalent ACT score for this student?
X when Z = 0.74, using [tex]\mu = 21.9, \sigma = 3.8[/tex]
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.74 = \frac{X - 21.9}{3.8}[/tex]
[tex]X - 21.9 = 0.74*3.8[/tex]
[tex]X = 24.7[/tex]
The equivalent ACT score for this student(77th percentile) is 24.7.
If a student gets an SAT score of 1544, find the equivalent ACT score.
First we find the z-score of the SAT, then we find the equivalent ACT score.
Z-score of SAT:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1544 - 1117}{194}[/tex]
[tex]Z = 2.2[/tex]
Equivalent ACT:
X when Z = 2.2. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2.2 = \frac{X - 21.9}{3.8}[/tex]
[tex]X - 21.9 = 2.2*3.8[/tex]
[tex]X = 30.26[/tex]
The equivalent ACT score to a SAT score of 1544 is 30.26.
2(5g - 3) + 3(3 - 4g) - 4(5g + 3) + (-3)
Answers
How many days are in 10 years?
Answers
Answer:
3650
Step-by-step explanation: