The mean of the given distribution will be A. 4.45.
To find the mean of a distribution, you can follow these steps:
Add up all the numbers in the set.Count the total number of values in the set.Divide the sum of the numbers by the total count.Mean (μ) = ∑(X * P(X)).
Using the provided distribution: X: 1 4 6 8
P(X): 0.39 0.18 0.05 0.38
Calculating the mean: Mean (μ) = (1 * 0.39) + (4 * 0.18) + (6 * 0.05) + (8 * 0.38)
= 0.39 + 0.72 + 0.3 + 3.04
= 4.45
Therefore, the mean of the given distribution is 4.45.
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Theoretical and Experimental Probability
I need help with these 3 questions PLEASE
4/15
What exactly are flashcards?A flashcard, also known as an index card, is a card with information on both sides that is designed to be used as a memory aid. On one side of each flashcard is a question and on the other is an answer.
The advantages include improved language abilities, increased capacity to produce tales, memorization, issue analysis, and vocabulary enrichment. Aside from cognitive benefits, flashcards may also boost self-confidence, create strong and effective communication skills, and boost creativity. Flashcards are miniature note cards that are used to test and improve memory through repeated information retrieval. Typically, flashcards are two-sided, with the prompt on one side and information regarding the prompt on the other. Names, for example, might be included.
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The odds in favor of an event are 3 to 4. What is the probability of the event?
37
The probability from the odds is 3/7
How to determine the probability?The value of the odds is given as
Odds = 3 to 4
Represent the odds as a fraction
So, we have the following representation
Odds = 3/4
To convert the odds to probability, we make use of the following equation
Probability = Odds/(1 + Odds)
Substitute the known values in the above equation, so, we have the following representation
Probability = (3/4)/(3/4 + 1)
Evaluate the sum
Probability = (3/4)/(7/4)
Evaluate the quotient
Probability = 3/7
Hence, the probability is 3/7
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given two hexadecimal numbers find if they can be consecutive in gray code
To determine if two hexadecimal numbers can be consecutive in gray code, you need to convert them to binary and then compare their corresponding bits.
Gray code is a binary numeral system where two consecutive numbers differ by only one bit. Therefore, if two hexadecimal numbers can be consecutive in gray code, their binary representations must differ by only one bit as well. To convert a hexadecimal number to binary, simply convert each hexadecimal digit to its corresponding 4-bit binary representation. For example, the hexadecimal number 3A would be converted to 0011 1010 in binary.
Here is a step-by-step guide to determine if two hexadecimal numbers can be consecutive in gray code:
1. Convert the first hexadecimal number to binary. For example, if the first hexadecimal number is 3A, convert it to 0011 1010 in binary.
2. Convert the second hexadecimal number to binary using the same method as step 1.
3. Compare the corresponding bits of the two binary numbers. If there is only one bit that differs between the two binary numbers, then the original hexadecimal numbers can be consecutive in gray code.
4. If there is more than one bit that differs between the two binary numbers, then the original hexadecimal numbers cannot be consecutive in gray code.
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Jake bought 4 T-Shirts He
also bought a pair of pants
that cost $45. He spent $119
total. Write an solve an
equation to find the cost of
egch t-shirt.
Answer:
T-shirt is x
pants is y -> 2y=45
total is : 4x+2y=119
as we know 2y=45
4x+45=119
4x = 119-45
x= 74/4
each T-shirt is 18.5
The price of gasoline rose from $3.50 to $3.71 in one week. By what percent 1 point did the gas price rise?
when the sum of the lowest data value and the highest data value is divided by 2, the measure is called the .
The lowest and greatest values in the dataset, divided by two, make up the Mid-range. Thus, this provides us with the midrange value.
What do we mean by the Mid-range?The mid-range or mid-extreme is the arithmetic mean of the highest and minimum values of the data set and is used in statistics as a measure of a sample's central tendency.
The difference between the greatest and minimum values, which is a measure of statistical dispersion, is strongly related to the mid-range.
The two measurements are complementary in that one can determine the sample's maximum and minimum values by knowing the range and the midpoint.
Therefore, the lowest and greatest values in the dataset, divided by two, make up the Mid-range. Thus, this provides us with the midrange value.
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5x – 3= 17
X=?
Find what x equals to.
Answer:
x=4
Step-by-step explanation:
Answer:
x = 4
Step-by-step explanation:
5x – 3= 17 add 3 to both sides
5x = 20 divide both sides by 5
x = 4
what is (fxg)(x)
f(x)=x^3-4x+2
g(x)=x^2+2
Answer: x^6+6x^4+8x^2+2
Step-by-step explanation:
Since g comes after f then you will take g's equation and plug it into the f equation so it would turn out to be if you plugged it in
(x^2+2)^3-4(x^2+2)+2 which would equal x^6+6x^4+8x^2+2
Daniel Davis Dillard is proud of the lawn care business he runs after school. He charges a flat rate of $10 plus $5 per quarter acre of lawn. After mowing Mr. Durant's lawn times, he made a total of $125. Write and solve an equation to determine how many acres of lawn Mr. Durant has.
Mr. Durant has 5.75 acres of lawn, therefore he was charged $125
What is an equation?An equation is an expression that shows how numbers and variables are linked together using mathematical operations such as addition, subtraction, multiplication and division.
The slope intercept form of an equation is:
y = mx + b
where m is the rate of change and b is the y intercept.
Let y represent the total cost of charging for mowing x acres.
He charges a flat rate of $10 plus $5 per quarter acre of lawn. Therefore:
$5 = quarter acre; $(5 * 4) = $20 is for one acre.
y = 20x + 10
He made a total of $125; hence:
125 = 20x + 10
115 = 20x
x = 5.75 acres
Mr. Durant has 5.75 acres of lawn.
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Mark raises guppies in an aquarium. He finds out that guppies reproduce very rapidly, and the number doubles every month. He starts out with 10 guppies, and the function y=10(25) models the number of guppies he will have after x months. Which graph represents this function? Never mind I found out the answer
7 square root of 3 plus 2 square root of 9
the answer i got was 18.12
Answer:
6+7√3 or 18.12
Step-by-step explanation:
7√3+2√9= 7√3+2*3= 6+7√3
6+7√3= 18.12
An equation is shown.
8 + x = 32
What value of x makes the equation true?
4
24
40
256
The value of x which will make the equation 8 + x = 32 true will be 24 thus, option (B) is correct.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
The equation must be constrained with some constraints.
As per the given equation,
8 + x = 32
Put x = 4
8 + 4 = 12 ≠ 32
Put x = 24
24 + 4 = 32 (so it will be the solution)
Hence "The value of x which will make the equation 8 + x = 32 true will be 24".
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In the Venn Diagram for an EIO - 2 Categorical Syllogism, there is an X in number 6.
Group of answer choices
True
False
The answer is True. In the Venn Diagram for an EIO - 2 Categorical Syllogism, X represents the area of the diagram where the subject of the conclusion statement (the term in the predicate of the minor premise) overlaps with the complement of the predicate of the major premise.
In a EIO syllogism, the conclusion statement is negative and particular, meaning that it denies the existence of some members of the subject class. This area of the diagram is represented by number 6. Therefore, there should be an X in number 6 of the Venn Diagram for an EIO - 2 Categorical Syllogism.
In the Venn Diagram for an EIO-2 Categorical Syllogism, there is an X in number 6. The statement is true. An EIO-2 Categorical Syllogism consists of a negative major premise, a negative minor premise, and a negative conclusion. In a Venn Diagram, an "X" represents an instance where the two categories overlap, and number 6 is the area where the two categories overlap negatively. So, in this case, the presence of an X in number 6 indicates the truth of the EIO-2 Categorical Syllogism.
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Match each inequality to its graph. Then determine whether (0,0) is a solution for each
inequality.
Answer:
I can't read that..........
Can anyone give me the answer this is due today?
Answer: -12x + 41
Step-by-step explanation: Rearrange terms
(8 - 3x)(4) + 9
(-3 + 8)(4) + 9
2
Re-order terms so constants are on the left
(-3x + 8)(4) + 9
4( -3x + 8) plus 9
3
Distribute
4( negative 3 x plus 8) plus 9
negative 12 x plus 32 plus 9
4
Add the numbers
negative 12 x plus 32 plus 9
negative 12 x plus 41
Solution
-12x plus 41
Peyton has n nickels and d dimes. She has no less than 21 coins altogether.
Write this situation as an inequality.
Answer:
i have the same ? need help:(
Step-by-step explanation:
Given f(x) = -11x² + 5, what is the value of f(4)?
Answer: f(4) = -171
Step-by-step explanation:
To answer this question, we will solve the function for 4. In other words, we will input 4 into the function and simplify. Don't forget the order of PEMDAS when simplifying.
Given:
f(x) = -11x² + 5
Input of 4:
f(4) = -11(4)² + 5
Raise to the power of 2:
f(4) = -11(16) + 5
Multiply:
f(4) = -176 + 5
Add:
f(4) = -171
a 45kg glider due ne, with acceleration of 2m/s?while the wind exerts a force of 450n toward west. how much work does the wind do?
To calculate the work done by the wind, we'll use the formula: Work = Force x Distance x cos(angle).
Since the glider's acceleration is 2m/s² and its mass is 45kg, we can calculate the net force acting on it using Newton's second law: Force = Mass x Acceleration, which is 45kg x 2m/s² = 90N towards the northeast. The force exerted by the wind is 450N towards the west. Assuming the glider moves in a straight line due to the combined effect of both forces, the angle between the wind force and displacement is 90°. Therefore, the work done by the wind is 450N x Distance x cos(90°), which is 0 since cos(90°) = 0. So, the wind does no work on the glider.
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Hey! can someone help me find the value of x please??!
Answer:
x = 13
Step-by-step explanation:
The triangles base angles are congruent, so the triangle is isosceles with the 2 legs being congruent, then
x = 13
Lydia's transaction at Walmart. HOW MUCH CHANGE SHOULD HE REC 100-(15+14+345)+4410) +2)
A.$47 B$16 C. $14D. $20
Answer:
4686
Step-by-step explanation:
2. On April 11, George Jimerson had $6,521.37 in his savings account. The account pays 5.5% interest
compounded daily. How much interest will the money earn by June 30?
By June 30 the money of interest will be $466124.22 .
What is interest rate?An interest rate indicates how expensive borrowing is or how lucrative saving is. Therefore, if you are a borrower, the interest rate is the sum you pay for borrowing money and is expressed as a percentage of the overall loan amount.
What is saving?The amount of money earned that is not used for immediate expenses is saved. In other words, it refers to money that is stored away for later use rather than being immediately spent.
Given
\(A_{0} =$6521.37\\r=5.5%\\From april 11 to june 30 \\t=30+31+30-11= 80 days\\The interest is\\A_{0} (1+r)^{t}-A_{0}\\ =$6521.37(1+5.5)^{80}-6521.37\\ =$466124.22\)
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Help with this please
Answer:
180-132 = 48
C. 48 degrees
Let A = {n € Z+: +2 € Z}. Prove or disprove: For every n E A we have n² = 4. n Let f RR be a differentiable function and f(0) = 1. Prove by contrapositive statement: If f'(x) ≤ 2 for x ≤ (0,3), then ƒ(3) ≤ 7. Let A and B be n x n real matrices. (a) Prove by contradiction: if B 0 and AB = 0, then A is singular. (b) Write down the contrapositive statement and prove: if B ‡ 0 and AB = 0, then A is singular.
a) The assumption is that A is not singular must be false, and thus A must be singular in real matrices.
b) the contrapositive statement also holds true, as A being non singular implies that either B = 0 or AB ≠ 0, and since AB ≠ 0, the statement is true.
a) To prove by contradiction: if B ≠ 0 and AB = 0, then A is singular.
Assume that B ≠ 0 and AB = 0, but A is not singular (i.e., A is invertible).
Since A is invertible, we can multiply both sides of AB = 0 by A^(-1) (the inverse of A):
A^(-1) * AB = A^(-1) * 0
B = 0
This contradicts our initial assumption that B ≠ 0. Therefore, our assumption that A is not singular must be false, and thus A must be singular.
b) The contrapositive statement of the given proposition is:
If A is non singular, then either B = 0 or AB ≠ 0.
To prove the contrapositive statement:
Assume that A is non singular, and we have two cases:
Case 1: B = 0
In this case, the contrapositive statement holds true, as A being non singular implies that either B = 0 or AB ≠ 0, and since B = 0, the statement is true.
Case 2: AB ≠ 0
In this case, the contrapositive statement also holds true, as A being non singular implies that either B = 0 or AB ≠ 0, and since AB ≠ 0, the statement is true.
Therefore, in both cases, the contrapositive statement holds true, proving its validity.
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A-(BUC)
This is the question from maths
Step-by-step explanation:
Is there is set of a,b,c given in question too
what would this be? This is the similarity of circles.
Answer:
D
Step-by-step explanation:
You don't even need to look at the rest of the answer choices. When you see the question, you immediately know that you need to translate circle B 5 units to the right
Find the volume of the solid formed by rotating the region inside the first quadrant enclosed by y=x^2,y=5x about the x-axis.
The volume of the solid formed by rotating the region inside the first quadrant enclosed by the curves y = x and y = 5x about the x-axis is (250π/7) cubic units. When finding the volume of a solid of revolution, we use the method of cylindrical shells.
To calculate the volume, we integrate the area of each cylindrical shell formed by rotating an infinitesimally small strip about the x-axis. The height of each shell is the difference between the y-values of the two curves, which is (5x - x²). The circumference of each shell is given by 2πx, and the thickness is dx. Therefore, the volume of each shell is 2πx(5x - x²)dx.
To find the total volume, we integrate this expression over the interval where the two curves intersect. Setting\(y = x^2\)and y = 5x equal to each other, we get x² = 5x. Solving this equation, we find two intersection points: x = 0 and x = 5. Thus, the limits of integration are from 0 to 5.
Integrating the expression \(2\pi x(5x - x^2)dx\) from 0 to 5 gives us the volume of the solid formed by rotating the region inside the first quadrant. Evaluating this integral, we find the volume to be (250π/7) cubic units.
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Mrs. Li wants to compare her students’ test scores to the school average. She created a table to help her. Mrs. Li’s Student Test Scores Student Score compared to school average Adam +3 Bryan 0 Cierra –4 Devaughn +1 Elena +5 Fionna –2 Which list orders the students by lowest score to highest score? Bryan, Cierra, Fionna, Devaughn, Adam, Elena Cierra, Fionna, Bryan, Devaughn, Adam, Elena Elena, Adam, Devaughn, Bryan, Fionna, Cierra Bryan, Devaughn, Fionna, Adam, Cierra, Elena (on edge)
Answer:
B
Step-by-step explanation:
The given differences between the test scores of Mrs. Li's students and the average test score of the school give us the order from lowest to highest marks of Mrs. Li's students as Cierra, Fionna, Bryan, Devaughn, Adam, and Elena. Hence, the 2nd option is the right choice.
What is average of data?The average of data is the ratio of the sum of all observations in the data to the number of observations in the data. It can be written as:
\(\overline{x} = \frac{\sum x}{N}\)
where \(\overline{x}\) represents the average, x represents the observations, and N represents the number of observations.
How to solve the given question?In the question, we are given the comparison of the test scores between Mrs. Li's students and the school's average test score.
The data is as follows: Adam +3 Bryan 0 Cierra –4 Devaughn +1 Elena +5 Fionna –2, where the shown figure is the difference between their respective score and the average test score of the school.
We are asked to identify the order from the given lists that show the students in order from lowest marks to highest marks.
A negative data means a score less than the average score.
Therefore, Cierra and Fionna got a score less than the average score, with Cierra scoring the least.
A data = 0 means a score equal to the average score.
Therefore, Bryan got a score equal to the average score.
A positive data means a score more than the average score.
Therefore, Adam, Devaughn, and Elena got a score more than the average score, with Elena getting the highest followed by Adam and the Devaughn.
Therefore the order looks like this: Cierra, Fionna, Bryan, Devaughn, Adam, and Elena, which is the 2nd option.
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Use your knowledge of similar triangles to explain why the construction in the image divides the line segment into equal parts.
Answer:
This image show how to divide a given line segment into a number of equal parts by using a compass and ruler. First, draw the line AB. Secondly, draw a line above and divide into 5 equal distances to make a line AC. Third, using a compass by getting the distance of point C and B to be equal in the distance of point A and D, also getting the distance of point C to A to be equal to point B and D, then to make the Line DB. Finally divide into 5 equal parts by compass.
Step-by-step explanation:
Answer:
This image is showig how to divide a given line segment into a number of equal parts by using a compass and ruler. First, draw the line AB. Secondly, draw a line above and divide into 5 equal distances to make a line AC. Third, using a compass by getting the distance of point C and B to be equal in the distance of point A and D, also getting the distance of point C to A to be equal to point B and D, then to make the Line DB. Finally divide into 5 equal parts by compass.
Step-by-step explanation:
Hope that help.
a manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 411.0 gram setting. it is believed that the machine is underfilling the bags. a 35 bag sample had a mean of 406.0 grams. a level of significance of 0.05 will be used. state the hypotheses. assume the standard deviation is known to be 25.0.
Using a 35-bag sample with a mean of 406.0 grams, a known standard deviation of 25.0 grams, and a level of significance of 0.05, you can perform a one-tailed Z-test to determine whether to reject or fail to reject the null hypothesis.
To test if the potato chip manufacturer's bag filling machine is working correctly at the 411.0-gram setting, we will state the hypotheses using the given terms.
Null Hypothesis (H0): The machine fills bags correctly, with a mean weight of 411.0 grams (µ = 411.0 grams)
Alternative Hypothesis (H1): The machine is underfilling bags, with a mean weight less than 411.0 grams (µ < 411.0 grams)
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Find the Slope m of the line that passes through the pair of points ( -4 , 4 ) and ( -4 , 0 ).