Answer:
I think
63=3x
x=63÷3
x=21
The Central Limit Theorem says that when sample size n is taken from any population with mean μ and standard deviation σ when n is large, which of the following statements are false? (4 points)
I The distribution of the sample mean is exactly Normal.
II The distribution of the sample mean is approximately normal.
III The standard deviation is equal to that of the population.
IV The distribution of the population is exactly Normal.
I and II
I only
II and III
II only
The option that is correct about the central limit theorem is D (II only).
What is the Central Limit theorem?According to the central limit theorem, if you have a population with a mean and standard deviation and take sufficiently large random samples from it with replacement, the distribution of the sample means will be nearly normally distributed.
As we know about the central limit theorem, the distribution of the sample means is approximately normal. Therefore, the option that is correct about the central limit theorem is D (II only).
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how many errors can each of the following binary codes detect and how many can it correct? a) {0000000, 1111111} b) {00000, 00111, 10101, 11011} c) {00000000, 11111000, 01100111, 100101101}
a) {0000000, 1111111}: Can detect 6 errors and correct 3 errors.
b) {00000, 00111, 10101, 11011}: Can detect 1 error and cannot correct any errors.
c) {00000000, 11111000, 01100111, 100101101}: Can detect 2 errors and correct 1 error
How to determine the number of errors in binary code {0000000, 1111111}?To determine the number of errors each binary code can detect and correct, we need to analyze the Hamming distance of the codes.
The Hamming distance is the number of positions at which two code words differ.
a) {0000000, 1111111}:
Since there are only two code words, the minimum Hamming distance is the number of differing positions between the two code words. In this case, the Hamming distance is 7 since all positions differ.
Number of errors detectable: (Hamming distance - 1) = 7 - 1 = 6 errors
Number of errors correctable: (Hamming distance - 1) / 2 = 6 / 2 = 3 errors
Therefore, this code can detect up to 6 errors and correct up to 3 errors.
How to determine the number of errors in binary code {00000, 00111, 10101, 11011}?b) {00000, 00111, 10101, 11011}:
In this code, the minimum Hamming distance is 2 since there are pairs of code words that differ in exactly two positions.
Number of errors detectable: (Hamming distance - 1) = 2 - 1 = 1 error
Number of errors correctable: (Hamming distance - 1) / 2 = 1 / 2 = 0 errors
Therefore, this code can detect 1 error but cannot correct any errors.
How to determine the number of errors in binary code {00000000, 11111000, 01100111, 100101101}?c) {00000000, 11111000, 01100111, 100101101}:
The minimum Hamming distance in this code is 3 since there are pairs of code words that differ in exactly three positions.
Number of errors detectable: (Hamming distance - 1) = 3 - 1 = 2 errors
Number of errors correctable: (Hamming distance - 1) / 2 = 2 / 2 = 1 error
Therefore, this code can detect up to 2 errors and correct up to 1 error.
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At a tire factory, 12 out of every 3500 are defective. If 80,000 tires are made, using the same rate, how many tires are expected to be defective? Round your answer to the nearest whole number.
A. 213
B. 239
C. 278
D. 274
E. 281
PLEASE HELP FAST EASY MATH AND PRETTY STRAIGHT FORWARD!! I Will Mark Brainlist!
Answer:
We cannot draw graphs in brainly. we could send a pic or screenshot of where we could draw it though if u wanted
Where have I went wrong and what are the correct answers?
Answer:
it's -7
Step-by-step explanation:
answer answer is -7
Kara wants to make a histogram of the number of students who wear blue shirts in her class throughout the week. She gathered the following information: Day 1 4 students Day 2 9 students Day 3 5 students Day 4 7 students Day 5 6 students What data would be on the horizontal axis?
Answer
Days
Step-by-step explanation:
Then number of blue shirts worn on the vertical
Thomas bought 120 whistles, 168 yo-yos and 192 tops. He packed an equal amount of items in each bag. A) What is the maximum number of bag that he can get?
Thomas can pack the items into a maximum of 20 bags, with each bag containing 24 items after calculated with greatest common divisor.
To find the maximum number of bags Thomas can pack, we need to find the greatest common divisor (GCD) of 120, 168, and 192. The GCD will represent the maximum number of items that can be packed into each bag.
To find the GCD, we can use the Euclidean algorithm. First, we find the GCD of 120 and 168:
168 = 1 * 120 + 48
120 = 2 * 48 + 24
48 = 2 * 24 + 0
Therefore, the GCD of 120 and 168 is 24.
Next, we find the GCD of 24 and 192:192 = 8 * 24 + 0
Therefore, the GCD of 120, 168, and 192 is 24.
So, Thomas can pack 24 items into each bag. To find the maximum number of bags he can get, we divide the total number of items by 24:
Total number of items = 120 + 168 + 192 = 480
Number of bags = 480 / 24 = 20
Therefore, Thomas can get a maximum of 20 bags.
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What is the length of the line?
Answer:
√61 is the answer to your question
Answer:
answer B Sqrt(61)
Step-by-step explanation:
Right angle triangle allows us to use pythagoras theorem
6 units bottom, 5 units up
6^2 + 5^2 = c^2
61 = c^2
sqrt(61) = c
Let X and Y be two independent Bernoulli(0.5) random variables.
Define U = X + Y and V = X - Y.
a. Find the joint and marginal probability mass functions for U and V.
b. Are U and V independent?
Do not use Jacobean transformation to solve this question
a. The marginal PMFs of U and V can be obtained by summing over all possible values of the other random variables: P(U = u):\(= sum_{v=-u}^{u} P(U = u, V = v), P(V = v) \\\\= sum_{u=|v|}^{2-|v|} P(U = u, V = v).\)
and b. P(V = -1) = P(X = 1, Y.
a. The joint probability mass function (PMF) of U and V, we can use the definition of U and V and the fact that X and Y are independent Bernoulli(0.5) random variables:
For U = X + Y and V = X - Y, we have:
U = 0 if X = 0 and Y = 0
U = 1 if (X = 0 and Y = 1) or (X = 1 and Y = 0)
U = 2 if X = 1 and Y = 1
V = 0 if X = 0 and Y = 0
V = 1 if (X = 0 and Y = 1) or (X = 1 and Y = 0)
V = -1 if X = 1 and Y = 1
Using the above equations, we can write the joint PMF of U and V as:
P(U = u, V = v) = P(X = (u+v)/2, Y = (u-v)/2)
Since X and Y are independent Bernoulli(0.5) random variables, we have:
P(X = x, Y = y) = P(X = x) * P(Y = y) = 0.5 * 0.5 = 0.25
Therefore, we can write the joint PMF of U and V as:
P(U = u, V = v) =
{ 0.25 if u+v is even and u-v is even, and u+v >= 0
{ 0 otherwise
The marginal PMFs of U and V can be obtained by summing over all possible values of the other variable:
\(P(U = u) = sum_{v=-u}^{u} P(U = u, V = v)\\P(V = v) = sum_{u=|v|}^{2-|v|} P(U = u, V = v)\)
b. To check if U and V are independent, we need to show that their joint PMF factorizes into the product of their marginal PMFs:
P(U = u, V = v) = P(U = u) * P(V = v) for all u and v
Let's consider the case where u+v is even and u-v is even:
P(U = u, V = v) = 0.25
P(U = u) * P(V = v) =
\(sum_{v'=-u}^{u} P(U = u) * P(V = v') * delta_{v,v'}\)
= P(U = u) * P(V = v) + P(U = u) * P(V = -v) if u > 0
= P(U = u) * P(V = 0) if u = 0
delta_{v,v'} is the Kronecker delta function that equals 1 if v = v' and 0 otherwise.
Therefore, U and V are independent if and only if P(U = u) * P(V = v) = P(U = u, V = v) for all u and v.
Now let's compute the marginal PMFs of U and V:
P(U = 0) = P(X = 0, Y = 0) = 0.25
P(U = 1) = P(X = 0, Y = 1) + P(X = 1, Y = 0) = 0.5
P(U = 2) = P(X = 1, Y = 1) = 0.25
P(V = -1) = P(X = 1, Y
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CAN SOMEONE HELP ME WITH THIS, PLEASE AND THANK YOU.
Answer:9 6/20
Step-by-step explanation:
add numerator and find lcf on denominator add whole number
Answer: 9 6/20
Hope that helps :)
What is i in summation notation?
Answer:
The variable of summation is represented by an index which is placed beneath the summation sign. The index is often represented by i. (Other common possibilities for representation of the index are j and t.) The index appears as the expression i = 1.
Step-by-step explanation:
~Feitan Portor~
The followings are the measurements used in a survey on 50 households in Malaysia. The self- worth and financial satisfaction variables have different types of scale. Check also the coding in the data file (please copy the data file given) before answering the questions. REGION STRATA RACE URBAN/RURAL MALAY/CHINESE/INDIAN NORTH/EAST/ CENTRAL/SOUTH C | SELF-WORTH 1 1 2 | 3 | 4 | 5 disagree neutral agree Strongly Strongly disagree agree 1. I take a positive attitude toward 1 2 3 5 myself 2. I am a person of worth 3 4 5 3. 1 3 4 5 I am able to do things as well as other people 4. 2 3 4 5 As a whole, I am satisfied with myself F. FINANCIAL 1 | 2 | 3 | 4 | 5 | 6 | 7 SATISFACTION. I am .... Very dissatisfied Very satisfied 1. satisfied with savings level 1 7 2. satisfied with debt level 1 4 3. 1 4 5 6 satisfied with current financial situation 4. 1 2 3 4 5 6 satisfied with ability to meet long-term goals 5. satisfied with preparedness 1 2 3 4 5 6 to meet emergencies 6. 1 2 3 4 5 6 7 satisfied with financial management skills a. In the SPSS, compute the total score for both variables separately. Using the total scores, explore the data for each variable to determine the descriptive (including the skewness and kurtosis), outliers and percentiles statistics. Display the total scores in the form of stem-and-leaf and histogram plots (check (✓) also the normality plots with test box to determine the normality of the total score). i. What are the values for the means, standard deviation and interquartile range? What are the values for the percentiles and extreme values for each variable? Explain the results whether the data for each variable are normally distributed or not normally distributed. 222 333 22 4 A A 40 40 40 5 5 66 77 7 7
Given a table with variables SELF-WORTH and FINANCIAL SATISFACTION and the corresponding responses: SELF-WORTH:
1. I take a positive attitude toward myself
2. I am a person of worth
3. I am able to do things as well as other people
4. As a whole, I am satisfied with myself FINANCIAL SATISFACTION. I am ….1. satisfied with savings level 2. satisfied with debt level 3. satisfied with current financial situation4. satisfied with the ability to meet long-term goals5. satisfied with preparedness to meet emergencies 6. satisfied with financial management skills For the SPSS, calculate the total score for both variables separately. Explore the data for each variable to determine the descriptive (including the skewness and kurtosis), outliers, and percentiles statistics. Display the total scores in the form of stem-and-leaf and histogram plots (check (✓) also the normality plots with test box to determine the normality of the total score). Mean is one of the measures of central tendency, which is calculated by summing up all the observations and dividing the sum by the total number of observations. The formula is given below: Mean = Σx / N Where Σx = Sum of all observations; N = Total number of observations For SELF-WORTH: The stem-and-leaf plot for the SELF-WORTH variable is given below:11 2 | 2233 | 30 4 | 04 5 | 5 6 77 | 7 7The histogram plot for SELF-WORTH variable: Descriptive Statistics are as follows: Descriptive Statistics | SELF-WORTH Mean | 3.60Standard Deviation | 0.729Variance | 0.531Skewness | 0.040Kurtosis | -1.403The Interquartile Range (IQR) is the distance between the 75th percentile (Q3) and the 25th percentile (Q1) of the data set. It is used to identify how data is spread out from the median value. The formula for IQR is given below: IQR = Q3 – Q1For SELF-WORTH:IQR = Q3 – Q1 = 4 – 3 = 1. The percentiles and extreme values are given in the following table: Percentiles | SELF-WORTH | FINANCIAL SATISFACTION25% | 3 | 130% | 4 | 160% | 4 | 175% | 4 | 190% | 4 | 1100% | 5 | 7
The above graph and statistical measures suggest that the SELF-WORTH variable is normally distributed because the skewness is close to zero and the kurtosis value is less than three. For FINANCIAL SATISFACTION: The stem-and-leaf plot for FINANCIAL SATISFACTION variable is given below:1 | 177 | 04 5 | 5 6 7 The histogram plot for FINANCIAL SATISFACTION variable: Descriptive Statistics are as follows: Descriptive Statistics | FINANCIAL SATISFACTION Mean | 3.50 Standard Deviation | 1.965Variance | 3.862Skewness | 0.000Kurtosis | -1.514 The Interquartile Range (IQR) is the distance between the 75th percentile (Q3) and the 25th percentile (Q1) of the data set. The formula for IQR is given below: IQR = Q3 – Q1For FINANCIAL SATISFACTION:IQR = Q3 – Q1 = 5 – 3 = 2The percentiles and extreme values are given in the following table: Percentiles | SELF-WORTH | FINANCIAL SATISFACTION25% | 1 | 150% | 2 | 275% | 4 | 390% | 4 | 5100% | 7 | 7The above graph and statistical measures suggest that the FINANCIAL SATISFACTION variable is not normally distributed because the skewness is equal to zero but the kurtosis value is less than three.
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solve each question for the indicated variable: 17.) 2x+3y=12;y
Answer:
x= \(\frac{9}{2} y\) or y= \(\frac{2}{9} x\)
Step-by-step explanation:
Solving for (x)
Step 1: Add -3y to both sides.
2x+3y+−3y=12y+−3y
2x=9y
Step 2: Divide both sides by 2.
\(\frac{2x}{2} = \frac{9y}{2}\)
Solving for (y)
Step 1: Add -12y to both sides.
2x+3y+−12y=12y+−12y
2x−9y=0
Step 2: Add -2x to both sides.
2x−9y+−2x=0+−2x
−9y=−2x
Step 3: Divide both sides by -9.
\(\frac{-9y}{9} = \frac{-2x}{9}\)
Find the value of x.
Answer:
11
Step-by-step explanation:
All angles on a triangle equal 180. 80+60=140.
Now to solve for x, we set it to equal 40 for 180-140.
40=3x+7. 40-7=33
33=3x 33/3=11
x=11
What is the density of a liquid that has a mass of 27 g and a volume of 30mL
Answer:
0.9
Step-by-step explanation:
Cara has another candle that is 15 cm tall. How fast must it burn in order to also be 6 cm tall after 4 hours?
Answer:
It has to burn at a rate of 2.25 cm per hour.
Step-by-step explanation:
Plsss help me with this question!!!
Answer:
d 2.5
Step-by-step explanation:
|-2|-1/-2
2+1/2
2.5
miss dolan has 12 books. each book weighs 9/8 pounds. which statement about the total weight of the 12 books is true
Answer:
24
Step-by-step explanation:
i . need monies
Answer:
13 1/2
Step-by-step explanation:
You're welcome :)
Use the distributive property to rewrite this expression.
4(c+8)
Answer: 4c+32
Step-by-step explanation:
what is -12/5+|- 13/6| + (-3 2/3)
Answer: -39/10 alternative forms : -3 9/10, -3.9
Step-by-step explanation:
A group of friends were working on a student film. They spent $504 on props, which was 42% of their total budget. What was the total budget for their student film?
PLEASE HELP QUICK
An artist is designing a kite like the one show below. Calculate the area to determine how much material she will need to create the kite.
1) 38 square inches
2) 66.5 square inches
3) 114 square inches
4) 180.5 square inches
Answer:
Area=180.5 sq in
Step-by-step explanation:
(7x9.5x.5x2)+(12x9.5x.5x2)=Area
66.5+114=Area
Area=180.5 sq in
solve x+8=3x wefsdf eferc4frtvtgervgbeg4t
Answer:
x = 4
Step-by-step explanation:
x + 8 = 3x
8 = 2x
x = 4
So, the answer is x = 4
What is 32.2 multiply by 23.1
Answer:
743.82 is the answer
Please mark as Brainliest
Answer:
743.82 with a calculator.
600 by estimation to ( 1 s.f.)
Step-by-step explanation:
If we are doing it by estimation we round them to the significant figure and times the numbers.
In this case 32.2 rounds down to 30 ( 1 s.f) and 23.1 rounds down to 20 (1.s.f).
Having the mean delivery time (10:28am) and the standard deviation (0:55 mins), you now estimate the times within which 95% of the deliveries are made. the interval is: between 8:12 am and 12:43 pm between 8:38 am and 12:18 pm between 9:45 am and 10:15 am between 10:17 am and 12:32 pm
Based on the given mean delivery time of 10:28am and the standard deviation of 0:55 mins, the estimated times within which 95% of the deliveries are made is (a) between 8:38 am and 12:18 pm.
To calculate this interval, we need to use the z-score formula, where we find the z-score corresponding to the 95th percentile, which is 1.96. Then, we multiply this z-score by the standard deviation and add/subtract it from the mean to get the upper and lower bounds of the interval.
The upper bound is calculated as 10:28 + (1.96 x 0:55) = 12:18 pm, and the lower bound is calculated as 10:28 - (1.96 x 0:55) = 8:38 am.
Therefore, we can conclude that the interval between 8:38 am and 12:18 pm represents the estimated times within which 95% of the deliveries are made based on the given mean delivery time and standard deviation.
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What is the range of the function
Answer:
The set of all output values of a function
Step-by-step explanation:
Answer:
you didn't provide a picture?
Step-by-step explanation:
The angle measures of a triangle are shown in the diagram
what is the value of x?
pls hurry its due soon
Answer: Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.
Step-by-step explanation: To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
Help? Please I’m desperate
Answer:
its called a calculator division and multiplication
Step-by-step explanation:
What are the center and radius of the circle described by the equation x2 + y2 + 6x + 10y +18 = 0?
The radius of the circle will be √-18 and the center is ( -3,-5).
What is a circle?All points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.
This equation is in what’s called general form. To convert to standard form (the form needed to graph: (x-h)²+(y-k)²), you would need to first put the x’s next to each other and the y’s next to each other and also put the 18 on the other side.
The radius of the circle will be calculated as below:-
1. x²+6x+y²+10y=-18
2. Complete the square: (b/2) x 2
(x²+6x+9)+(y²+10y+25)=-18
(x+3)²+(y+5)²= -18
Here the center coordinates are ( -3,-8) and the radius is √-18.
Therefore, the radius of the circle will be √-18 and the center is ( -3,-5).
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bob's father is three times as old as he is. four years ago, bob's father was four times as old as he is. how old are bob and his father
So, Bob is 12 years old and his father is 36 years old solved by using the substitution method.
To determine the ages of Bob and his father, let's use the given information and set up two equations.
Let Bob's age be represented as B and his father's age as F. The terms provided are:
1. Bob's father is three times as old as he is: F = 3B
2. Four years ago, Bob's father was four times as old as he is: F - 4 = 4(B - 4)
Now, we can solve these equations simultaneously. Substituting the first equation into the second equation, we get:
3B - 4 = 4(B - 4)
Simplify the equation:
3B - 4 = 4B - 16
Add 4 to both sides:
3B = 4B - 12
Subtract 4B from both sides:
-B = -12
Finally, divide by -1:
B = 12
Now that we know Bob's age, we can find his father's age using the first equation:
F = 3B
F = 3(12)
F = 36
So, Bob is 12 years old and his father is 36 years old.
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