The sum of two integers is −47. The greater number minus the lesser number is 9.
Of the two numbers, which is less?
Answer:
I don't think this question is phrased correctly. The lesser number is the lesser number... I think this is asking you to find each of the numbers, so I will do that.
Greater number: -19
Lesser number: -28
Step-by-step explanation:
If the greater number minus the lesser number is 9, the greater number is 9 more than the lesser number. I'll use algebra to solve this problem.
Lets set the lesser number as the variable x.
lesser number = x
Because the greater number is 9 more than the lesser number, the greater number is:
x+9
2x+9 = -47
Subtract 9 on both sides to isolate the variable.
2x + 9 - 9 = -47 - 9
2x = -56
x = -28
Because the greater number is 9 greater than the lesser number, add 9 to x to get the greater number.
-28 + 9 = -19
Find the measures of two supplementary angles, <M and <N, If M=6x+3 and m<N=2x-7
9514 1404 393
Answer:
M = 141°, N = 39°
Step-by-step explanation:
Supplementary angles have a total measure of 180°, so ...
M + N = 180
(6x +3) +(2x -7) = 180
8x = 184 . . . . . add 4, simplify
x = 23 . . . . . . . divide by 8
∠M = 6·23 +3 = 141°
∠N = 2·23 -7 = 39°
The daily number of riders on a certain bus route is 360, each of whom pay a 50¢ fare. The bus company has determined that for every fare increase of 5¢, there will be 20 fewer riders. What fare should the company charge in order to collect $196 per day from this route.
Let x = the number of 5¢ fare increases
Let y = money the company gets
Equation: y = (360 - 20x) (0.50 + 0.05x)
Solve for x when y = 196
196 = 180 + 18x - 10x - x^2
x^2 - 8x + 16 = 0
Factor to solve for x
(x - 4)^2 = 0
x = 4
Remember what x means
Total fare = 0.50 + 0.05x = 0.50 + 0.20 = 0.70
Total fare = 70¢
an event that increases the probability that a response will be repeated is called _____.
The term that describes an event that increases the likelihood of a response being repeated is known as reinforcement.
Reinforcement can be defined as any consequence that strengthens or increases the probability of a behavior occurring again in the future. This can include positive reinforcement, which involves adding a desirable consequence after a behavior, or negative reinforcement, which involves removing an aversive consequence after a behavior. Both types of reinforcement have been shown to be effective in increasing the likelihood of a behavior being repeated.
Overall, understanding the concept of reinforcement is essential in the field of psychology, particularly in the areas of behaviorism and behavior modification. By providing positive consequences after desired behaviors, individuals can be motivated to continue engaging in those behaviors, which can lead to long-term positive changes. Reinforcement can also be used to shape new behaviors or replace unwanted behaviors with more desirable ones.
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the joint density of x and y is given by find c. (b) find the density function of x. (c) find the density function of y. (d) find e[x]. (e) find e[y]. 1
(a) The value of C for joint density of x and y is 1/4
(b) The density function of X is \(\frac{e^{-x} }{4}\)
(c) The density function of Y is \(\frac{1}{2}y^{2}e^{-y}\)
(d) The value of E[X] is -1.
(e) The value of E[Y] is 3.
A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
The function is f(x, y) = c(y - x) * e ^ (- y) - y < x < y, 0 < y < ∞
The joint density of X and Y is,
f(x,y)=\ matrix c(y - x) * e ^ (- y) - y < x < y , 0<y< infty \\ 0 matrix
Otherwise
The value of C is,
e ^ (- y) * (integrate (y - x) dx from x = - y to y) dy from y = 0 to ∞ = 1*int y=0 ^ infty e^ -y (xy - (x ^ 2)/2) x=-y ^ y dy=1
c = 1/ 4
(a) The value of C for the function is 1/4
(b) The density function of X is \(\frac{e^{-x} }{4}\)
(c) The density function of Y is \(\frac{1}{2}y^{2}e^{-y}\)
(d) The value of E[X] is -1.
(e) The value of E[Y] is 3.
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consider the following scenario to answer the next six questions: laura is interested in the mean height of the girls in her 9th-grade class year. assume the population standard deviation is known to be 1.2 inches. she takes a sample of 48 students and calculates a sample mean of 64.5 inches and a sample standard deviation of 0.9. 19. suppose the typical mean height of the population is 64 inches, and laura suspects that the mean height might be greater than 64 inches. what is the p-value for this testing problem? a) 0.99805 b) (1 - 0.99805) c) 0.9999 d) (1 - 0.9999) 20. suppose she wants to test whether the mean is less than 64. what should be her p-value ? a) 0.99805 b) (1 - 0.99805) c) 0.9999 d) (1 - 0.9999)
The p-value for testing whether the mean height is greater than 64 inches is (d) (1 - 0.9999).
To find the p-value, we can use a one-sample t-test. The test statistic can be calculated as t = (sample mean - population means) / (sample standard deviation / √sample size). In this case, the sample mean is 64.5 inches, the population mean is 64 inches, the sample standard deviation is 0.9, and the sample size is 48. Plugging these values into the formula, we get t = (64.5 - 64) / (0.9 / √48) ≈ 2.042.
The p-value can then be obtained by comparing the t-value to the t-distribution with degrees of freedom equal to the sample size minus 1 (48 - 1 = 47). Since we are testing whether the mean height might be greater than 64 inches, we are interested in the right tail of the t-distribution. The p-value can be found as (1 - the cumulative probability of t-value).
Using statistical software or tables, we can find the cumulative probability for a t-value of approximately 2.042 and degrees of freedom of 47, which is very close to 0.0001. Therefore, the p-value is (d) (1 - 0.9999), which is approximately 0.0001.
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if the owner wants to limit the percentage of customers receiving coupons to no more than 1 out of every 25 customers on the average, what should they change the guaranteed time to? a) 0.12 b) 0.50 c) 0.30 d) 0.25
By setting the guaranteed time to 0.25, it ensures that the percentage of customers receiving coupons will be below 4%, thus meeting the requirement.
To limit the percentage of customers receiving coupons to no more than 1 out of every 25 customers on average, the owner should change the guaranteed time to option d) 0.25.
The percentage of customers receiving coupons can be calculated by dividing the number of customers receiving coupons by the total number of customers. If the owner wants this percentage to be no more than 1 out of every 25 customers, it means that the percentage should be less than or equal to 4%.
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A dilation maps ABC onto A’B’C if AC = 24 cm A’C =6 cm and BC cm then B’C’ equals?
The length of B’C’ for the triangle A’B’C' is 7.5 cm if a dilation maps triangle ABC onto A’B’C'.
What is triangle?A triangle is a three-sided polygon that has three angles, three vertices, and three sides. It is a basic geometric shape that is often studied in mathematics and geometry. Triangles come in different shapes and sizes, but the sum of their interior angles always adds up to 180 degrees. Triangles can be classified based on their sides and angles, such as equilateral, isosceles, scalene, acute, right, or obtuse.
Here,
We can use the property that the ratio of corresponding sides of similar triangles is equal to the scale factor of dilation. In this case, we have:
AC/A'C' = BC/B'C'
Substituting the given values:
24/6 = 30/B'C'
Simplifying:
4 = 30/B'C'
Multiplying both sides by B'C':
4B'C' = 30
Dividing both sides by 4:
B'C' = 7.5
Therefore, B'C' is 7.5 cm.
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Complete question:
A dilation maps triangle ABC onto triangle A’B’C if AC = 24 cm A’C =6 cm and BC= 30 cm then B’C’ equals?
Riley is saving up to buy a new television. She needs a total of $1,239.02. Riley has saved $200.58 already and earns $79.88 per
week at her job. How many weeks does Riley need to work to save enough money to buy the new television?
A.12
В.14
C.13
D.11
Answer:
13
Step-by-step explanation:
Please mark brainliest
Find the measure of the indicated angle to
the nearest degree! please help
Answer:
A 54°
Step-by-step explanation:
Sorry if its wrong <3
In a company, a machine produces parts. These parts have precise dimensions that must be respected.
1) After a first adjustment, a proportion of 30% of defective parts is observed. We examine five pieces chosen at random from the production. Let X be the random variable representing the number of defected parts among the.
a) What is the probability law of X ?
b) Calculate the mean and standard deviation of X.
c) What is the probability that 2 of the parts are defective?
d) What is the probability that there is at most one defective part?
e) Determine the mode and calculate the corresponding probability.
2) Then, After a second adjustment, the proportion of defective parts becomes 5%. We examine a batch of 100 pieces.
a) Calculate the probability of not finding defective parts.
b) Calculate the probability of getting two defected parts.
c) Calculate the probability of obtaining less than three defective parts
d) Determine the mode and the associated probability
a) X follows a binomial distribution with n=5 and p=0.3. Therefore, the probability law of X is:
P(X=k) = (5 choose k) * 0.3^k * 0.7^(5-k), for k = 0,1,2,3,4,5
b) The mean of X is given by μ = np = 50.3 = 1.5
The variance of X is given by σ^2 = np(1-p) = 50.3*(1-0.3) = 1.05
The standard deviation of X is σ = sqrt(σ^2) ≈ 1.024
c) To find the probability that exactly 2 parts are defective, we use the probability law of X:
P(X=2) = (5 choose 2) * 0.3^2 * 0.7^3 ≈ 0.3087
d) To find the probability that there is at most one defective part, we sum the probabilities of having 0 or 1 defective parts:
P(X ≤ 1) = P(X=0) + P(X=1) = (5 choose 0) * 0.3^0 * 0.7^5 + (5 choose 1) * 0.3^1 * 0.7^4 ≈ 0.1681
e) The mode is the most frequent value of X. In this case, we can see that P(X=1) and P(X=2) are both greater than the other probabilities, so the mode is either 1 or 2. To determine which one, we need to compare the probabilities:
P(X=1) = (5 choose 1) * 0.3^1 * 0.7^4 ≈ 0.3602
P(X=2) = (5 choose 2) * 0.3^2 * 0.7^3 ≈ 0.3087
Since P(X=1) > P(X=2), the mode is 1, and the corresponding probability is approximately 0.3602.
After the second adjustment, the proportion of defective parts is p=0.05.
a) The probability of not finding defective parts in a batch of 100 pieces is:
P(X=0) = (100 choose 0) * 0.05^0 * 0.95^100 ≈ 0.5987
b) The probability of getting exactly two defected parts is:
P(X=2) = (100 choose 2) * 0.05^2 * 0.95^98 ≈ 0.2647
c) To calculate the probability of obtaining less than three defective parts, we can use the complement rule and find the probability of having 3 or more defective parts, and then subtract from 1:
P(X < 3) = 1 - P(X ≥ 3)
= 1 - [P(X=3) + P(X=4) + P(X=5)]
= 1 - [(100 choose 3) * 0.05^3 * 0.95^97
+ (100 choose 4) * 0.05^4 * 0.95^96
+ (100 choose 5) * 0.05^5 * 0.95^95]
≈ 0.1846
d) The mode is the most frequent value of X. Since the probability law is not symmetric, there may be multiple modes. To determine the modes, we can calculate the probabilities for each value of X and find the maximum values:
P(X=0) ≈ 0.5987
P(X=1) ≈ 0.3151
P(X=2) ≈ 0.0676
P(X=3) ≈ 0.0125
P(X=4) ≈ 0.0019
P(X=5) ≈ 0.0002
Therefore, X=0 is the mode with the highest probability, which is approximately 0.5987.
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Sam and Adam share a sum of money in the ratio 7:9 What fraction of the money does Sam receive?
The fraction of the money that Sam receives is \(\frac{7}{16}\) of the money they share.
To solve this problem, we need to first understand what the ratio 7:9 means. It means that for every 7 parts that Sam receives, Adam receives 9 parts.
Let's say the sum of money they are sharing is $100. To find out how much Sam receives, we need to divide the total amount into 16 parts (7 + 9).
Each part would then be worth $6.25 ($100 ÷ 16).
To find out how much Sam receives, we need to multiply the number of parts he receives by the value of each part.
Sam receives 7 parts out of 16, so his share would be 7 x $6.25 = $43.75.
To express this as a fraction, we can put Sam's share over the total amount:
\(\frac{43.75}{100}\)
We can simplify this fraction by dividing both the numerator and denominator by 25:
\(\frac{1.75}{4}\)
Therefore, the fraction of the money that Sam receives is \(\frac{1.75}{4}\) or \(\frac{7}{16}\).
In summary, Sam receives \(\frac{7}{16}\) of the money they share, which is equivalent to $43.75 if the total amount they are sharing is $100.
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If x and y are integers and x = 50y + 69, which of the following must be odd? O xy O x+y O x+2y 3x - 1 O 3x+1
Since 50 is an even number, we know that x will be even if y is even (50 times an even number is still even) and odd if y is odd (50 times an odd number is odd). Therefore, the only answer choice that must be odd is x+y.
Given that x and y are integers and x = 50y + 69, let's determine which of the following expressions must be odd.
1. xy: Since x is odd (50y + 69), when it is multiplied by any integer y, the result will always be odd. Therefore, xy must be odd.
2. x + y: If x is odd, adding it to an even integer (y) would result in an odd number. However, adding it to an odd integer (y) would result in an even number. Therefore, x + y does not necessarily have to be odd. xy: We can't determine if this is odd or even without knowing the values of x and y.
- x+y: This expression is always odd. To see why, consider two cases:
If x and y are both odd, then x+y is even+odd=odd.
If x and y are both even, then x+y is even+even=even.
If one of x and y is odd and the other is even, then x + y is odd + even =odd.
3. x+2y: We can't determine if this is odd or even without knowing the values of x and y.
3x-1: This expression will be odd if x is odd (3 times an odd number is odd) and even if x is even (3 times an even number is even).
3x+1: This expression will be odd if x is even (3 times an even number plus 1 is odd) and even if x is odd (3 times an odd number plus 1 is even).
x + 2y: Since x is odd and 2y is always even, their sum must be odd. Therefore, x + 2 y must be odd.
4. 3x - 1: This expression is odd, since 3x will always be odd (as x is odd) and subtracting 1 from an odd number results in an even number. Therefore, 3x - 1 does not necessarily have to be odd.
5. 3x + 1: This expression is odd, since 3x will always be odd (as x is odd) and adding 1 to an odd number results in an even number. Therefore, 3x + 1 must be odd.
In conclusion, the expressions that must be odd are xy, x + 2y, and 3x + 1.
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10. Which expression is equivalent to 1.6x-4.8?
(3 Points)
0.4(4x - 1.2)
0.2(8x + 24)
0.8(2x – 0.6)
0.8(2x - 6)
Answer is
0.8(2x-6)
Step-by-step explanation:
0.8x2x=1.6x
0.8x-6 = -4.8
Johan works in a cafe.
One morning he sells 48 cups of tea and 12 cups of coffee.
Write down the ratio of the number of cups of tea to the number of cups of coffee.
Write your answer in its simplest form.
Answer:
4:1
Step-by-step explanation:
The ratio at first would be 48:12, after this to simplify it we need to find the gcf (greatest/biggest common factor), which is 12. Dividing 48 by 12 gives us 4 and dividing 12 by 12 gives us 1, thus making the ratio 4:1
Find the lowest common denominator for the fractions shown.
8/51
19/85
a. 255
b. 17
c. 4,335
Answer:
A.
Step-by-step explanation:
Just find the lowest common multiple of 51 and 85.
51 = 3 * 17
85 = 5 * 17
3 * 5 * 17 = 255
The lowest common denominator for the fractions is 17.
What are Fractions?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
fraction = 8/51 and 19/ 85
Now, LCM of 51 and 85.
51 = 17 x 3
85= 17 x 5
So, the least common multiple is 17.
Hence, the lowest common denominator for the fractions is 17.
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State if each scenario involves a permutation or a combination. Then find the number of possibilities. 14) A group of 40 people are going to run a race. The top three runners earn gold, silver, and bronze medals.
There are 9,880 possible ways to award the gold, silver, and bronze medals to the top three runners in a group of 40 people.
In this scenario, we are trying to determine the number of ways that three runners can be chosen from a group of 40 people to receive gold, silver, and bronze medals. This is an example of a combination problem.
A combination is a way of selecting items from a larger set where the order in which they are selected does not matter. In this case, we are choosing three runners out of a group of 40, and the order in which they finish the race is not important. We just need to determine which three runners will receive the top three medals.
To calculate the number of possible combinations of three runners from a group of 40, we use the formula for combinations:
C(n, r) = n! / (r! * (n-r)!),
where n represents the total number of items and r is the number of items being selected. In this case, we have n = 40 and r = 3:
C(40, 3) = 40! / (3! * (40-3)!) = 403938 / (321) = 9880
Therefore, there are 9,880 possible ways to award the gold, silver, and bronze medals to the top three runners in a group of 40 people.
In summary, when we are selecting a group of items from a larger set and the order in which they are selected does not matter, we can use the combination formula to determine the number of possible combinations. In this particular scenario, we found that there are 9,880 possible combinations of three runners who could receive the gold, silver, and bronze medals in a group of 40 people.
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What is the leg rule
Answer:
The right triangle altitude theorem or geometric mean theorem is a result in elementary geometry that describes a relation between the lengths of the altitude on the hypotenuse in a right triangle and the two line segments it creates on the hypotenuse.
Step-by-step explanation:
Was definetly not copy and pasted from g.o.o.g.l.e. no siree
Need help Again pls help thx
The answer is in the photo along with the work ;)
Here is a balanced hanger. 48=mXmXmXm
The solution to this equation is m = 6.98. This means that if we multiply 6.98 by itself 6 times, we will get the value of 48.
What is Balanced hanger?A balanced hanger is a mathematical equation that can be used to solve algebraic problems. It consists of a number of equal signs, with an equal number of symbols on each side.
In the case of the equation 48=mXmXmXmXmX, the number of symbols on each side is 6. This means that the equation is asking us to solve for the unknown value of m, which when multiplied by itself 6 times will give us the value of 48.
To solve this equation, we can use the distributive property to expand the equation. This property tells us that if we multiply a number by a sum of two or more numbers, we can break up that multiplication into several separate multiplications. For example, if we have 2(3+4), we can break it up into 2(3) + 2(4) and simplify it further to 6+8=14. In the case of our equation, we can break it up into 6 separate multiplications, mXmXmXmXmX.
Now, we can solve the equation using the inverse operation of multiplication, which is division. We can divide both sides of the equation by m and get 48/m=mXmXmXmXm. We can then divide both sides by the other m's and get 48/mXmXmXmX=m. Finally, we can divide both sides by the remaining m and get 48/mXmXmX=1. This means that m = the square root of 48, or 6.98.
Therefore, the solution to this equation is m = 6.98. This means that if we multiply 6.98 by itself 6 times, we will get the value of 48.
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The solution to this equation is m = 6.98. This means that if we multiply 6.98 by itself 6 times, we will get the value of 48.
What is Balanced hanger?A balanced hanger is a mathematical equation that can be used to solve algebraic problems. It consists of a number of equal signs, with an equal number of symbols on each side.
In the case of the equation 48=mXmXmXmXmX, the number of symbols on each side is 6. This means that the equation is asking us to solve for the unknown value of m, which when multiplied by itself 6 times will give us the value of 48.
To solve this equation, we can use the distributive property to expand the equation. This property tells us that if we multiply a number by a sum of two or more numbers, we can break up that multiplication into several separate multiplications. For example, if we have 2(3+4), we can break it up into 2(3) + 2(4) and simplify it further to 6+8=14. In the case of our equation, we can break it up into 6 separate multiplications, mXmXmXmXmX.
Now, we can solve the equation using the inverse operation of multiplication, which is division. We can divide both sides of the equation by m and get 48/m=mXmXmXmXm. We can then divide both sides by the other m's and get 48/mXmXmXmX=m. Finally, we can divide both sides by the remaining m and get 48/mXmXmX=1. This means that m = the square root of 48, or 6.98.
Therefore, the solution to this equation is m = 6.98. This means that if we multiply 6.98 by itself 6 times, we will get the value of 48.
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Complete questions as follows-
Here is a balanced hanger. 48=mXmXmXm solve the equation.
PLEASE HELP 20 POINTS !! WELL WRITTEN ANSWERS ONLY!!!
Below is a dot plot of the sample mean body temperature for 100 different random samples of size 10 from a population where the mean temperature is 98.6 degrees.
3. How many of the samples had sample means that were greater than 98.5 degrees and less than 98.7 degrees?
4. Based on the dot plot above, if you were to take a different random sample from the population, would you be surprised if you got a sample mean of 98.8 or greater? Explain why or why not.
The number of samples that were greater than 98.5 degrees and less than 98.7 degrees is 25.
We have,
3.
The number of samples that were greater than 98.5 degrees and less than 98.7 degrees.
= 25
We add up all the dots above the numbers between 98.5 and 98.7.
We will not include the dots above 98.5 and 98.7.
4.
The dot plot of the sample mean body temperature for 100 different random samples of size 10 from a population with a mean temperature of 98.6 degrees shows that the majority of the sample means are close to 98.6, and there are very few samples means that exceed 98.6, then it would be surprising to obtain a sample mean of 98.8 or greater from a different random sample.
Thus,
The number of samples that were greater than 98.5 degrees and less than 98.7 degrees is 25.
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If a+b=1
-a-b=0 what is a and b?
Answer:
a 0,1
b 1,0
Step-by-step explanation:
i think it is right but not sure
5 POINTS, 5 STARS, BRAINLIEST, AND THANKS
I am horrible with these problems!
A line with a slope of -1/6 passes through the points (j,3) and (8,2). What is j?
j=2
Step-by-step explanation:
take the second numbers in each parentheses and subtract them. put this answer on top of a fraction
(j,3) (8,2)
2-3 = -1
take the first numbers and subtract. put this answer at the bottom of fraction
8 - J = 6
j = 2
answer should equal -1/6
the formula for a slope is y2-y1/x2-x1
look at the points like this, and fill in the places with the numbers and j they give you
(X1,y1) (X2,y2)
In the school competition jenny bounced a ball 150 times in 3 minutes. Express her bouncing rate in its simplest form
Answer:
Jenny bounced the ball 150 times She did that over an interval of 3 minutes To express rate of change over an interval you do \( \frac{change \: in \: motion}{change \: in \: time} \)So you get \( \frac{150}{30} = 50 \: bounces \: per \: minute\)Please rate positively and give brainlistNO. 1: (4 marks)
For a laboratory assignment, if the equipment is workingthe density function of the observed outcome X is
f(x)= 2(1 - x) ,\\ 0, 0 < x < 1
otherwise.
Find the variance and standard deviation of X.
Var(X) = E(X)-(E(X)
The standard deviation is equal to the square root of the variance, which is √(1/8) ≈ 0.353.
To find the variance and standard deviation of X with the given density function, we need to calculate the expected value (E(X)) and the expected value of X squared (E(X^2)). Then, we can use the formula Var(X) = E(X^2) - [E(X)]^2 to find the variance.
First, let's calculate E(X):
E(X) = ∫(x * f(x)) dx
= ∫(x * 2(1 - x)) dx
= 2∫(x - x^2) dx
= 2[x^2/2 - x^3/3] + C
= x^2 - (2/3)x^3 + C
Next, let's calculate E(X^2):
E(X^2) = ∫(x^2 * f(x)) dx
= ∫(x^2 * 2(1 - x)) dx
= 2∫(x^2 - x^3) dx
= 2[x^3/3 - x^4/4] + C
= (2/3)x^3 - (1/2)x^4 + C
Now, we can find the variance:
Var(X) = E(X^2) - [E(X)]^2
= [(2/3)x^3 - (1/2)x^4 + C] - [x^2 - (2/3)x^3 + C]^2
= [(2/3)x^3 - (1/2)x^4] - [x^2 - (2/3)x^3]^2
The standard deviation can be calculated as the square root of the variance.
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Complete Question
For a laboratory assignment, if the equipment is working, the density function of the observed outcome X is
f(x) = 2 ( 1 - x ), 0 < x < 1
0 otherwise
(1) Find the Variance and Standard deviation of X.
true or false: if v is an eigenvector corresponding to λ, then cv is also an eigenvector corresponding to the eigenvalue λ
True. If v is an eigenvector corresponding to the eigenvalue λ, then multiplying v by a scalar c, denoted as cv, will also be an eigenvector corresponding to the same eigenvalue λ.
An eigenvector represents a direction in a vector space that remains unchanged, except for scaling, when multiplied by a specific matrix. The corresponding eigenvalue determines the magnitude of the scaling. When we multiply an eigenvector v by a scalar c, the direction of the vector remains the same, and the resulting vector cv is scaled by the same factor c.
Mathematically, if Av = λv, where A is a matrix, λ is an eigenvalue, and v is the corresponding eigenvector, then it follows that A(cv) = cAv = cλv = λ(cv). This equation shows that multiplying an eigenvector v by a scalar c preserves its status as an eigenvector, corresponding to the same eigenvalue λ.
In summary, if v is an eigenvector corresponding to λ, then multiplying it by a scalar c still results in an eigenvector corresponding to the same eigenvalue λ.
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Mickey has $4,500 in a college savings account, and he will need to 0
contribute $6,000 each year towards his college tuition. Mickey wants to
save enough in 3 years to cover his first 2 years of tuition. According to
the table, what is the minimum monthly deposit that Mickey should make
in order to meet his goal
Answer:
200
Step-by-step explanation:
you would need to do 6,000 times 2 to find out how much he will need to cover and 6,000 times 2=12000 so the answer is b 200
-10m+21=111 solve for m
Answer:
ans is 11-21/10 sry I don't have calculator
how many inches of snow does it take to equal the moisture in 1 inch of rain