What is the sum of a square
Answers
Answer:
The sum of squares is the sum of the squares of variation, where variation is defined as the separate between individual value and the mean. to determine the sum of squares, the distance between each data point and the line of best fit is a squared and then summed up. the line of best fit will minimise dis value.
Related Questions
A high school principal reports that the average sat math score for last year’s graduating class is 520. a sample is taken of this year’s graduating class is taken and the average sat math score is reported to be 530. how would you compare the last two graduating classes?
Answers
Based on the average SAT Math score that the graduating classes got, the comparison is that this year's graduating class did better than last year's graduating class.
How can both classes be compared?The average score is used to show the general trend of scores that students were able to attain.
The average score of 530 that this year's graduating class attained is higher than the average of the previous graduating year which is 520.
This means that on average, this year's graduating class did better than that of last year because their general trend was higher.
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Raj went to the theatre to watch a traditional Indian dance performance with his family. The theatre had 1050 seats. There were 50% fewer $50-seats than $30-seats. 90% of the $30-seats and some $50-seats were sold. A total of $34 650 was collected. How many seats were unsold?
Answers
Total number of seats that remain unsold are 168.
What is statistics?
The branch of mathematics dealing with data collection, organization, analysis, interpretation and presentation.
Let's start by defining some variables to represent the unknowns in the problem:
Let x be the number of $30-seats.Let y be the number of $50-seats.From the problem, we know that:
The total number of seats is 1050: x + y = 1050.There were 50% fewer $50-seats than $30-seats: y = 0.5x.90% of the $30-seats and some $50-seats were sold, which means that the revenue from the $30-seats is 0.9(30x) = 27x, and the revenue from the $50-seats is 0.9(50y) = 45y.We also know that the total revenue collected is $34,650:
27x + 45y = 34650
Now we can substitute y = 0.5x from the second equation into the third equation and simplify:
27x + 45(0.5x) = 34650
27x + 22.5x = 34650
49.5x = 34650
x = 700
So there were 700 $30-seats and 350 $50-seats.
The number of sold $30-seats is 0.9(30x) = 567, and the number of sold $50-seats is 0.9(50y) = 315.
Therefore, the total number of seats sold is 882, and the number of unsold seats is:
1050 - 882 = 168
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To verify if uniform distribution has memoryless property. Given uniform distribution, X, with parameters, 0 and 1. Question 3 1 pts Find P(X>0.5). Question 4 1 pts Find PIX>0.7|X>0.2).
Answers
uniform distribution are (3) P(X > 0.5) = (1 - 0.5) / (1 - 0) = 0.5. (4) P(X > 0.7 | X > 0.2) = 0.3 / 0.8 = 0.375.
Uniform distribution is a continuous probability distribution that is characterized by a constant probability density function between two parameters. In this case, the parameters for the uniform distribution X are 0 and 1.
To verify if uniform distribution has memoryless property, we need to check if the probability of an event occurring in the future is independent of the time that has already passed. The memoryless property states that the conditional probability of an event occurring in the future given that it has not occurred in the past is the same as the unconditional probability of the event occurring in the future.
For Question 3, we need to find the probability that X is greater than 0.5. Since X follows a uniform distribution between 0 and 1, the probability can be calculated as the area under the curve of the probability density function between 0.5 and 1. Therefore, P(X > 0.5) = (1 - 0.5) / (1 - 0) = 0.5.
For Question 4, we need to find the probability that X is greater than 0.7 given that X is greater than 0.2. Using Bayes' theorem, we can calculate this as follows:
P(X > 0.7 | X > 0.2) = P(X > 0.7 and X > 0.2) / P(X > 0.2)
Since X follows a uniform distribution, we can simplify this as:
P(X > 0.7 | X > 0.2) = P(X > 0.7) / P(X > 0.2)
Using the formula for a uniform distribution, we can calculate the probabilities as:
P(X > 0.7) = (1 - 0.7) / (1 - 0) = 0.3
P(X > 0.2) = (1 - 0.2) / (1 - 0) = 0.8
Therefore, P(X > 0.7 | X > 0.2) = 0.3 / 0.8 = 0.375.
In conclusion, we can verify that uniform distribution has memoryless property because the conditional probability of an event occurring in the future given that it has not occurred in the past is the same as the unconditional probability of the event occurring in the future.
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factor the trinomial below. x^2+13x+42
Answers
Answer:
(x + 6)(x + 7)
Step-by-step explanation:
To factor the trinomial x^2 + 13x + 42, we need to find two numbers that multiply to 42 and add up to 13.
One way to do this is to list all the pairs of factors of 42 and see which pair adds up to 13:
1, 42 -> 1 + 42 = 43
2, 21 -> 2 + 21 = 23
3, 14 -> 3 + 14 = 17
6, 7 -> 6 + 7 = 13
So the pair of factors that we want is 6 and 7. We can use these numbers to rewrite the middle term of the trinomial:
x^2 + 13x + 42 = x^2 + 6x + 7x + 42
Next, we can group the first two terms and the last two terms:
x^2 + 6x + 7x + 42 = (x^2 + 6x) + (7x + 42)
Now, we can factor out the greatest common factor from each group:
x(x + 6) + 7(x + 6)
Notice that we have a common factor of (x + 6) in both terms. We can factor this out:
(x + 6)(x + 7)
Hakeem is starting a running plan to train
for a race. In the first week of his running
plan, Hakeem will run 11 miles. The plan
calls for Hakeem to increase his weekly
milage by 2 miles every week. If Hakeem
sticks to the plan, how many miles would
he be expected to run during his 8th week
of the training plan?
Answers
Answer:
25 miles
Step-by-step explanation:
Hakeem is starting a running plan to train for a race. In the first week of his running plan, Hakeem will run 11 miles. The plan calls for Hakeem to increase his weekly milage by 2 miles every week. If Hakeem sticks to the plan, how many miles would he be expected to run during his 8th week of the training plan?
This can be described as:
11 + 2w
when w = week
because he runs 11 miles the first week, he only has 7 weeks of 2 mile increases:
11 + 2(7) = 25 miles
What is this one Im unsure how to put this one
Answers
Answer:
70 DDegrees
Step-by-step explanation:
Answer:
70 degrees
Step-by-step explanation:
Since the angle opens from the right, we need to measure from the right. Reading the protractor from the right, we can see that the angle measures 70 degrees.
a golfer claims that his average golf score at the course he plays regularly is less than 90. the correct hypothesis statement for this golfer to prove his claim would be
Answers
The correct hypothesis statement for this golfer to prove his claim would be:
\(H_{0} :u\geq 90\)
\(H_{1} :u < 90\)
The golfer claims that his average score is less than 90.
Therefore, the null hypothesis is the opposite of what he claims
Null hypothesis \(H_{0}\) is average score \(u\) is greater than or equal to 90:
\(u \geq 90\)
\(H_{0} :u\geq 90\)
Alternative hypothesis \(H_{1}\) is then the opposite of null hypothesis.
Hence alternate hypothesis \(H_{1}\) is u< 90
\(H_{1} :u < 90\)
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find the general solution of the given second-order differential equation. 2y'' + y' = 0
Answers
Therefore, the general solution of the given second-order differential equation is: y = c1 e^(0t) + c2 e^(-1/2 t).
To find the general solution of the given second-order differential equation 2y'' + y' = 0, we can assume that the solution is of the form y = e^(rt), where r is a constant to be determined.
First, we find the first and second derivatives of y with respect to t:
y' = re^(rt)
y'' = r^2 e^(rt)
Substituting these expressions into the differential equation, we get:
2r^2 e^(rt) + r e^(rt) = 0
Factoring out e^(rt), we get:
e^(rt) (2r^2 + r) = 0
This equation will be satisfied if either e^(rt) = 0 or 2r^2 + r = 0.
Since e^(rt) is never zero, we must have:
2r^2 + r = 0
Factoring out r, we get:
r(2r + 1) = 0
So, either r = 0 or r = -1/2.
Therefore, the general solution of the given second-order differential equation is:
y = c1 e^(0t) + c2 e^(-1/2 t)
Simplifying this expression, we get:
y = c1 + c2 e^(-1/2 t)
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A cylindrical object is 3.13 cm in diameter and 8.94 cm long and
weighs 60.0 g. What is its density in g/cm^3
Answers
A cylindrical object is 3.13 cm in diameter and 8.94 cm long and weighs 60.0 g. The density of the cylindrical object is 0.849 g/cm^3.
To calculate the density, we first need to find the volume of the cylindrical object. The volume of a cylinder can be calculated using the formula V = πr^2h, where r is the radius (half of the diameter) and h is the height (length) of the cylinder.
Given that the diameter is 3.13 cm, the radius is half of that, which is 3.13/2 = 1.565 cm. The length of the cylinder is 8.94 cm.
Using the values obtained, we can calculate the volume: V = π * (1.565 cm)^2 * 8.94 cm = 70.672 cm^3.
The density is calculated by dividing the weight (mass) of the object by its volume. In this case, the weight is given as 60.0 g. Therefore, the density is: Density = 60.0 g / 70.672 cm^3 = 0.849 g/cm^3.
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the total cost for baydan and three of her friends to go ice skating can be represented by the expression 4x 36. the four friends pay an amount x to rent the ice skates and an admission fee. how much is the admission fee for one person?
Answers
The admission fee for one person is 9.
The intercept form of the equation of a line has an equation x/a + y/b = 1, where 'a' is the x-intercept, and 'b' is the y-intercept. The x-intercept is the shortest distance of the point on the x-axis from the origin, where the line cuts the x-axis, and the y-intercept is the shortest distance of the point on the y-axis from the origin, where the line cuts the y-axis. Also considering the points, the line cuts the x-axis at the point(a, 0), and it cuts the y-axis at the point(0, b).
Intercept Form of Equation of a Line: x/a + y/b = 1.
Here x, y, are the variables in the equation, a, b, are the x-intercept, and the y-intercept in the equation. This equation has a slope of -b/a.
Total cost = 4x +36
It means we have a linear function where 4 is the slope ( the cost per person) and 36( the y-intercept).
The admission fee for four people= 36
So, the admission fee for one person = 36/4 = 9
Thus, the admission fee for one person is 9.
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The admission fee for one person is 9.
The intercept form of the equation of a line has an equation x/a + y/b = 1, where 'a' is the x-intercept, and 'b' is the y-intercept. The x-intercept is the shortest distance of the point on the x-axis from the origin, where the line cuts the x-axis, and the y-intercept is the shortest distance of the point on the y-axis from the origin, where the line cuts the y-axis. Also considering the points, the line cuts the x-axis at the point(a, 0), and it cuts the y-axis at the point(0, b).
Intercept Form of Equation of a Line: x/a + y/b = 1.
Here x, y, are the variables in the equation, a, b, are the x-intercept, and the y-intercept in the equation. This equation has a slope of -b/a.
Total cost = 4x +36
It means we have a linear function where 4 is the slope ( the cost per person) and 36( the y-intercept).
The admission fee for four people= 36
So, the admission fee for one person = 36/4 = 9
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2/3X18 Multypily plzzzz
Answers
Answer:
12
This is the answer because 2/3 times 18 is 12...
Answer: 12
Step-by-step explanation:
2/3 * 18
you put 18 over 1
so 2/3 * 18/1
2*18= 36
3*1= 3
36/3 = 12
a is a 5 5 matrix with two eigenvalues. one eigenspace is three-dimensional, and the other eigenspace is twodimensional. is a diagonalizable? why?
Answers
The required answer is a 5 5 matrix is a diagonalizable.
Explanation,
Yes, the matrix a is diagonalizable. This is because if a 5x5 matrix has two eigenvalues, and one eigenspace is three-dimensional while the other is two-dimensional, then the matrix is guaranteed to be diagonalizable. This is because the sum of the dimensions of the One eigenspace is three-dimensional, and the other eigenspace is two-dimensional. A matrix is diagonalizable if the sum of the dimensions of its eigenspaces is equal to the size of the matrix. In this case, the dimensions of the eigenspaces are 3 and 2, which add up to 5. Since the size of the matrix A is also 5 the sum of the dimensions of the eigenspaces is equal to the size of the matrix. Therefore, matrix A is diagonalizable. must equal the size of the matrix , and because the eigenvectors associated with each eigenvalue form a linearly independent set, it is possible to diagonalize the matrix using those eigenvectors. Therefore, a is diagonalizable because the dimensions of its eigenspaces add up to 5 and its eigenvectors are linearly independent.
The study of matrices is a large part of linear algebra, and most properties and operations of abstract linear algebra can be expressed in terms of matrices.
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Jelene is cutting a strip of yard that is 11/12 inch long into the pieces that are 2/12 inch long for a collage. How many complete pieces can she make?
Answers
Answer:
5
Step-by-step explanation:
2/12 goes in 11/12 5 times. 1/12 inch will be left.
What will be the answer in the finish box
Answers
Answer:
Step-by-step explanation:
In the first triangle, using Pythagorean's theorem, x^2+3^2=5^2, x = 4
In the second triangle, using Pythagorean's theorem, x^2+7^2=24^2, x = 25
In the third triangle, using Pythagorean's theorem, 8^2+15^2=x^2, x = 17
In the fourth triangle, using Pythagorean's theorem, x^2+8^2=10^2, x = 6
In the fifth triangle, using Pythagorean's theorem, 5^2+12^2=x^2, x = 13
Someone plsss plss help me ima cryy!!!
Answers
Answer:
1) Business costs less. It costs $8 less.
2) they cost the same at 14 HCF both equaling $24. Residential would cost more if it goes over 14 HCF per month.
give your answer as either an improper fraction or mixed number
Answers
Answer:
1 1/10
Step-by-step explanation:
2 1/5= 2 2/10
33/10- 22/10= 11/10 or 1 1/10 or 1.1
BTW you can use google!
A student is asked to find the vertex of a parabola whose equation is as follows: y = 3 * (x + 4) ^ 2 - 2 The student concludes the vertex is at (4, - 2) . the student correct? If not, what do you think the student did wrong? Explain with as much relevant mathematical detail as possible. Please use at least 3 sentences total in your answer
Answers
Step-by-step explanation:
the general equation of a parabola is
y = a(x – h)² + k.
(h, k) is the vertex of the parabola.
comparing it to
y = 3(x + 4)² - 2
we see that (h, k) = (-4, -2).
the student made a sign mistake. it is "- h" in the squared factor. so, "+4" indicates "-4" as "h".
but the student simply used "+4".
Who can answer this??
Answers
Ths question is not complete but I will try my best to guide you through it so you can answer it. So what the question is asking you to do is that you have to plug in the coordinates into the equation. I don't want to give you an incorrect answer so I will explain it and you can do it yourself with the full question. First use the second equation as it is a full equation with an equal sign. Once plugged in you can find that c and d do not make the second equation true. A and B both complete the second equation. This means that either A or B is the answer. Since the first equation does not have an equal sign meaning it is not complete I can not answer it and I am sorry. But I have cut the answer down for you to A and B. If this answer helped you in the slightest please check out my channel The Game Rater. Thank you and I appreciate it.
-The Game Rater(Nitroid444)please help me guys please please please please please please please please please please please please please please please please please please please
Answers
Answer:
Hope you understand it ^^.
An object's speed decreases by 5% for each minute that it is slowing down. Which of the
following is closest to the percent that its speed will decrease over half-an hour?
Answers
Answer: 79%
Step-by-step explanation:
min —> 30 mins because half an hour is 30 mins.
(1 - 0.5)^30 = .214638..
1 - .214638 = .78536
round that to the closest percent equals 79%
Leah spent the day at the mall. First she bought four shirts for $10
each. Later, she bought two chandeliers for $60 each. After that she
found a ten dollar bill. Also, she retumed three shirts White the total
change to Leah's funds as an integer
Answers
Answer:
150
Step-by-step explanation:
40+120=160+10=170-30=150
Need help ASAP! Tyyy
Answers
Answer:
Step-by-step explanation:
The ratio of boys and girls riding the bus is 4:3 if there are a total of 56 students on the bus,how many girls are on the bus
Answers
Answer:
18 or 14
Step-by-step explanation:
also, can u help me with my recent questin
What is 20 percent of 200?
Answers
Using the formula to find the percentage we get the 20% of 200 is 40.
20% × 200
= 20/ 100 × 200
= 0.2 × 200
= 40
Percentage is a common mathematical concept used to express a fraction or portion of a whole as fraction of 100. The symbol for percentage is %, which is read as percent. Percentages are used in a variety of everyday situations, from calculating the amount of tax owned on a purchase to calculating the scores on a test. A percentage represents a part of whole and it is often used to describe changes or comparisons.
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Find p(4) p(x) = 3x - 9
Answers
Answer:
p(4)=3
Step-by-step explanation:
p(4)=3(4)-9=12-9=3
can someone answer this question really quick
Simplify the expression by combining like terms.
43a−12b+13a+52b
Enter your answer as an expression, like this: 42x+53
Answers
Answer:
56a+40b
Step-by-step explanation:
43a plus 13a is 56a, -12b + 52b is 40b, together it's 56a+40b
A company's stock began the day at $39.17 per share. That price drops by $1.38 each hour.
What is the price per share after 4 hours?
Answers
Hi :)
The price per share after 4 hours is $33.65.
Answer:
$33.65
Step-by-step explanation:
Score on last try: 0 of 1 pts. See Details for more. Find the derivative of the function \[ f(x)=\sqrt[2]{\left(x^{2}-3\right)^{7}} \text { at } x=-2 \] \[ f^{\prime}(-2)= \] Question Help: B video B
Answers
To find the derivative of the function, we can use the chain rule and the power rule of differentiation.
What is chain rule?
The chain rule is a formula used to find the derivative of a composite function. If y = f(g(x)), then as per chain rule the instantaneous rate of change of function ‘f’ relative to ‘g’ and ‘g’ relative to x results in an instantaneous rate of change of ‘f’ with respect to ‘x’
Let u = x² - 3, then we can rewrite the function as:
f(x) = \((u^{7})^\frac{1}{2}\)
Using the chain rule and the power rule, we have:
f'(x) = (1/2) x (u^7)^(-1/2) x 7u^6 x 2x
Simplifying this expression, we get:
f'(x) = 7x(u^6) / (2(u^7)^(1/2))
Now, we can substitute x = -2 into this expression to find f'(-2):
f'(-2) = 7(-2)((-2)^2 - 3)^6 / (2(((-2)^2 - 3)^7)^(1/2))
Simplifying this expression, we get:
f'(-2) = -168/(2sqrt(19)^7) = -12.77 (rounded to two decimal places)
Therefore, f'(-2) = -12.77.
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Leah's family took a road trip to Mount Rushmore. Leah fell asleep 44% of the way through the trip. If Leah fell asleep after they had travelled 132 miles, what was the total length of the trip?
Answers
The total length of the trip 190.08 miles
How you do it is to add the 44% of 132 to 132
= (132 + (132×44%))
What is the length?Length is a measure of distance. In the International System of Quantities, length is a quantity with dimension distance. In most systems of measurement a base unit for length is chosen, from which all other units are derived.
First, you have to find out how much 44% is. Change it into decimal form (0.44) and then multiply the two together.
132 × 0.44 is 58.08 miles.
Then you add that to the rest of the trip, 132 miles.
= (132 + 58/08
=190.08
The total length of the trip was 190.08 miles.
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susie wants to buy 5 slices of pizza and a liter of soda that cost $5 for her and her friends. how much does susie need?
Answers
Answer:
Amount needed by her \(=\$(5x+5)\)
Step-by-step explanation:
Given: Susie wants to buy 5 slices of pizza and a litre of soda that cost $5 for her and her friends
To find: amount needed by her
Solution:
Let cost of 1 slice of pizza be \(\$x\). Also, a litre of soda costs $5.
Cost of 5 slices of pizza \(=\$5x\)
Cost of a litre of soda \(=\$5\)
Total amount needed by her \(=\$(5x+5)\)