Answer:
2. The Second Term should be positive, 3. The last term should be -1 1/2, not -1 1/4. and 4. He added -8 and -2 instead of multiplying -8 by -2.
Step-by-step explanation:
write the sequence of natural numbers which leaves the remainder 3 on didvidng by 10
The sequence of natural numbers that leaves a remainder of 3 when divided by 10 is:
3, 13, 23, 33, 43, 53, 63, 73, 83, 93, 103, 113, ...
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
a set of points that form a line are called a pattern
The set of points that form a line are called a pattern. This pattern is created by a series of points that share a common direction and form a straight line. It is important to recognize these patterns in order to better understand and analyze data.
A pattern is a repeated sequence or arrangement of something. In geometry, a line is a set of points that extend infinitely in both directions. These points are arranged in such a way that they share a common direction and form a straight line. The set of points that form a line are called a pattern because they follow a specific sequence and arrangement.
Recognizing patterns is important in many fields, including mathematics, science, and engineering. By analyzing patterns, we can better understand the underlying structures and processes that shape the world around us. For example, in data analysis, recognizing patterns can help us identify trends and make predictions about future outcomes.
Learn more about patterns here: brainly.com/question/14720576
#SPJ11
A roller-coaster is at the top of a 62-meter hill. the car and its passengers have a total mass of 1,088 kilograms. by the time the car reaches the bottom of the hill, its speed is 74 miles per hour (33 meters per second). how much kinetic energy does the car have at the bottom of the hill?
The kinetic energy of the roller coaster at the bottom of the hill is approximately 594,576 J.
The potential energy of the roller coaster at the top of the hill can be calculated as:
PE = mgh
where m is the mass of the car and its passengers, g is the acceleration due to gravity \((9.8 m/s^2\)), and h is the height of the hill (62 m). Thus, we have:
PE =\((1088 kg)(9.8 m/s^2)(62 m) = 670,720 J\)
At the bottom of the hill, all of the potential energy has been converted to kinetic energy. The kinetic energy of the roller coaster can be calculated as:
\(KE = (1/2)mv^2\)
where v is the speed of the roller coaster at the bottom of the hill. Thus, we have:
\(KE = (1/2)(1088 kg)(33 m/s)^2 = 594,576 J\)
Therefore, the kinetic energy of the roller coaster at the bottom of the hill is approximately 594,576 J.
for such more question on kinetic energy
https://brainly.com/question/28109294
#SPJ4
PLEASSE HELP
If a line crosses the y-axis at (0, 1) and has a slope of 4/5, what is the equation of the line?
A 4y - 5x=5
B.y - 4x = 5
C. 5y + 4x = 5
D. 5y - 4x = 5
Answer:
The answer is option D.Step-by-step explanation:
Equation of the line using point (0, 1) and slope 4/5 is
\(y - 1 = \frac{4}{5} (x - 0) \\ \\ 5y - 5 = 4x \\ \\ 5y - 4x = 5\)
Hope this helps you
Answer:
D. \(\boxed{5y-4x=5}\)
Step-by-step explanation:
Slope = m = 4/5
y - intercept = b = 1 (As from the point (0,1) , y-intercept is when x = 0)
So, the equation becomes
=> \(y = mx+b\)
=> \(y = \frac{4}{5} x +1\)
=> \(y - \frac{4}{5} x = 1\)
Multiplying both sides by 5
=> \(5y-4x = 5\)
A: If the measure of 1 = 150° then the measure of 6 =
B: If the measure of 3 = 42°, then the measure of 5 =
C: If the measure of 6 = 28°, then the measure of 3 =
Answer:
6=30
5=138
3=152
Step-by-step explanation:
Hope this helps!
*please mark my answer as brainliest :)
Which table represents a linear function?
Answer: table C or 3
Step-by-step explanation:
If you graph it on paper then it creates a straight line, where the others do not.
Can someone please help me. WILL MARK U BRAINLIEST !!
Answer: I think b
Step-by-step explanation: If i get it wrong im terribly sorry plz forgive if it's wrong
D.
It intercepts y at f(0)=6, it has exponential growth, that is, function is continously increasing.
Hope this helps.
for any vectors a and b, does × = × ? please use an example to prove your answer
The cross product (×) of two vectors a and b is not commutative, which means that a × b is generally not equal to b × a.
Here's an example to demonstrate this:
Let a = [1, 2, 3] and b = [4, 5, 6]. Then,
a × b = [26 - 35, 34 - 16, 15 - 24] = [-3, 6, -3]
b × a = [53 - 62, 61 - 43, 42 - 51] = [3, -6, -3]
As you can see, a × b is not equal to b × a, so the cross product is not commutative, where a and b are two vectors.
To know more about Cross product of vector:
https://brainly.com/question/14384780
#SPJ4
PLEASE HELP I WILL MARK BRAINLIEST What is the factored form of x2 - 9x + 20?
A. x(x - 9) + 20
B. (x-4)(x + 5)
C. (x - 4)(x - 5)
D. (x2 - 4)(x2 - 5)
Answer:
C. ( x - 4 ) ( x - 5 )
Step-by-step explanation:
\(x^2-9x+20\)
\(= (x-4)(x-5)\)
which of the following quadrilaterals have four congruent sides?
A. parallelogram B. rectangle C. rhombus D. square
The quadrilateral that has four congruent sides is option D. square. A square is a special type of rectangle and rhombus, characterized by having all four sides of equal length.
A parallelogram (option A) is a quadrilateral with opposite sides that are parallel. While the opposite sides of a parallelogram are congruent, it does not guarantee that all four sides are equal.
A rectangle (option B) is a quadrilateral with four right angles. While opposite sides of a rectangle are congruent, it does not necessarily have four congruent sides unless it is also a square.
A rhombus (option C) is a quadrilateral with all sides of equal length. While a rhombus does have four congruent sides, it is not the only quadrilateral with this property.
Therefore, among the given options, the quadrilateral that has four congruent sides is the square (option D).
know more about quadrilaterals.
https://brainly.com/question/1626741
#SPJ11
Help . I will give brainliest
Answer:
The answers are 25 37 39 308 I think
Step-by-step explanation:
plz mark as brainliest!
, use a number line. Start at 0. Move forward 5 and then back up 7. How many yards must he get to get back to 0?
Answer:
2 yards.
Step-by-step explanation:
If you do what was stated in the problem, you would be left at -2. So, you would need to move up 2 yards to get back to 0.
Answer:
He must move two yards to get back to zero.
Step-by-step explanation:
He started at 0.
Moved forward 5 on the number line which puts him at 5
Then he moved back 7 which puts him at -2 on the number line
So from -2 on the number line he has to move 2 spaces to the right to get back to 0.
Hope this helps!! And good luck!
The slope of the line below is 2. Which of the following is the point-slope form of the line?
The correct point-slope form of the line is A. y + 1 = 2(x - 1).
The point-slope form of a linear equation is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.
Given that the slope of the line is 2 and the point on the line is (1, -1), we can substitute these values into the point-slope form to find the correct equation.
Using the point-slope form, we have:
y - (-1) = 2(x - 1)
Simplifying the equation, we get:
y + 1 = 2(x - 1)
Now we compare this equation to the answer choices:
A. y + 1 = 2(x - 1)
B. y - 1 = -2(x + 1)
C. y + 1 = -2(x - 1)
D. y - 1 = 2(x + 1)
Comparing the equation y + 1 = 2(x - 1) to the given point-slope form, we see that they match.
In this equation, the point (1, -1) lies on the line, and the slope of the line is 2. The equation represents a line with a slope of 2 that passes through the point (1, -1).
For more such questions on point-slope form
https://brainly.com/question/24907633
#SPJ8
y=−1/2x+3 please guys help
Answer:
-1/2? i dunno
Step-by-step explanation:
Answer:
\(-1/2\)
Step-by-step explanation:
\(-1/2\) is the answer because \(-1/2\) is the gradient of the line in the slope. 3 is the y inter. Which is where the line goes over the y-axis.
Hope this helps! (^-^)
What will the dividend income be on W number of shares of XYZ stock if XYZ distributes a $Y per share dividend?
Answer:
In general, the dividend income on W number of shares of XYZ stock will be W * Y dollars if XYZ distributes a $Y per share dividend.
Step-by-step explanation:
The dividend income on W number of shares of XYZ stock will be W * Y dollars if XYZ distributes a $Y per share dividend. This is because the dividend income is calculated by multiplying the number of shares that an investor owns by the amount of the dividend per share.
For example, if an investor owns W = 100 shares of XYZ stock and XYZ distributes a $Y = 5 per share dividend, then the investor's dividend income will be 100 * 5 = 500 dollars.
In general, the dividend income on W number of shares of XYZ stock will be W * Y dollars if XYZ distributes a $Y per share dividend.
PLZZZZ HELPPPP !!!!!
Answer: y = -1/2 +3
Step-by-step explanation:
the sum of 2 times a number and 10 is the same as 6 times the difference of the number and 1. what is the numner ?
Answer:
the number is 4
Step-by-step explanation:
let the number be x
2x + 10 = 6(x - 1)
2x + 10 = 6x - 6
minus both sides by 2x
10 = 4x - 6
add both sides by 6
4x = 16
x = 4
In testing for differences between the means of two dependent populations where the variance of the differences is unknown, the degrees of freedom are:
The degrees of freedom in testing for differences between the means of two dependent populations where the variance of the differences is unknown are: df = n - 1
What is the degree of freedom for dependent variables?In statistics, degrees of freedom refers to the number of distinct values that can change in an evaluation without exceeding any constraints.
The degree of freedom is crucial and necessary when attempting to comprehend the significance of a test statistic and the validity of the null hypothesis.
In testing for differences between the means of two dependent populations where the variance of the differences is unknown, the degrees of freedom are: df = n - 1
Learn more about calculating degrees of freedom for dependent variables here:
https://brainly.com/question/14311814
#SPJ12
The company provides a weekly sales incentive to the team.
At the end of the week, the company pays a bonus of 0.02 of the total sales made that
week to the top two salespeople in the team.
The bonus is paid in a ratio of 4:1 between the Employee
Sales
salesperson in first and second place that
Jason
£902.00
week.
Bryony
£1,275.25
Willis has a record of the total sales made this
week.
Sean
£1,385.20
Alberto
How much of a bonus will Jenny receive this
£1,637.80
week?
Jenny
£1,640.50
Matt
£1,628.95
Since Jenny's total sales for the week were only £2,322.00, her bonus is only 0.02 x £2,322.00 = £46.45.
Jenny will receive a bonus of £46.45 this week. She is ranked third in terms of sales, so she does not qualify for the top two positions that receive the bonus.
The bonus is calculated as 0.02 of the total sales made that week, which is £38,121.70 (£902.00 + £1,275.25 + £1,385.20 + £1,637.80 + £1,640.50 + £1,628.95).
The bonus is then divided in a ratio of 4:1 between the salesperson in first and second place, which means the first-place salesperson will receive £726.87 (0.8 x £38,121.70 x 0.04) and the second-place salesperson will receive £181.72 (0.2 x £38,121.70 x 0.04).
Jenny's bonus is calculated by subtracting the bonuses received by the first and second-place salespeople from the total bonus pool and dividing the remaining amount by the number of salespeople who did not receive a bonus.
Since there are four salespeople who did not receive a bonus (including Jenny), the remaining bonus pool is £38,121.70 - £726.87 - £181.72 = £37,213.11.
Dividing this by four gives £9,303.28, which is the bonus amount that each of the remaining salespeople will receive.
However, since Jenny's total sales for the week were only £2,322.00, her bonus is only 0.02 x £2,322.00 = £46.45.
Learn more about Bonus:
brainly.com/question/29846468
#SPJ11
The library sponsors a chess club for members of all ages and skill levels. Currently, the ages of the members are 7, 9, 10, 11, 13, 14, 15, 16, 18, 19, 20, 21, and 22. The librarian uses a histogram to track the number of members in different age groups. For this situation, which is the appropriate way to label the age intervals on the x-axis?
Answer:
B. 7−10; 11−14; 15−18; 19−22
Step-by-step explanation:
Which equation is equivalent to 3 (x+2) =-7
Answer:
B. IS correct
Step-by-step explanation:
Answer:
last one option D
Step-by-step explanation:
Matt bought a collection of stamps. He needs to choose between an album with large pages and an album with small pages to hold his stamps. The number of stamps per page for both album sizes is shown in the table. How many of each type of page will Matt need to hold all stamps?
To determine how many of each type of page Matt will need to hold all his stamps, we first need to know the total number of stamps that he has. Let's say, for example, that Matt has 750 stamps.
Next, we can use the table to determine how many stamps each type of page can hold:
Album Size Stamps per Page
Large 25
Small 10
We can see that a large page can hold 25 stamps, and a small page can hold 10 stamps.
To determine the number of large pages that Matt needs, we can divide the total number of stamps by the number of stamps per large page:
Number of large pages = total number of stamps / stamps per large page
Number of large pages = 750 / 25
Number of large pages = 30
So Matt will need 30 large pages to hold all his stamps.
To determine the number of small pages that Matt needs, we can divide the total number of stamps by the number of stamps per small page:
Number of small pages = total number of stamps / stamps per small page
Number of small pages = 750 / 10
Number of small pages = 75
So Matt will need 75 small pages to hold all his stamps.
Therefore, Matt will need 30 large pages and 75 small pages to hold all 750 of his stamps.
The number of each type of page that Matt need to hold all 1660 stamps are 70 small pages and 47 large pages.
To determine how many of each type of page Matt will need to hold all 1660 stamps, we will use the information provided in the table.
Small pages (24 stamps per page):
To find the number of small pages needed, divide the total number of stamps by the number of stamps per page.
1660 stamps ÷ 24 stamps/page = 69.17 pages
Since Matt can't have a fraction of a page, he will need 70 small pages to hold all 1660 stamps.
Large pages (36 stamps per page):
To find the number of large pages needed, divide the total number of stamps by the number of stamps per page.
1660 stamps ÷ 36 stamps/page = 46.11 pages
Again, since Matt can't have a fraction of a page, he will need 47 large pages to hold all 1660 stamps.
In summary, Matt will need 70 small pages (24 stamps per page) and 47 large pages (36 stamps per page) to hold all 1660 stamps.
Therefore, Matt will need a total of 70 + 47 = 117 pages to hold all 1660 stamps, with 70 of them being small pages with 24 stamps per page and 47 of them being small pages with 36 stamps per page.
Note: The question is incomplete. The complete question probably is: Matt bought a collection of 1660 stamps. He needs to choose between an album with large pages and an album with small pages to hold his stamps. The number of stamps per page for both album sizes is shown in the table. How many of each type of page will Matt need to hold all 1660 stamps?
Stamps per page Number of pages Total stamps
Small pages 24 1660
Small pages 36 1660
Learn more about Number:
https://brainly.com/question/11903729
#SPJ11
Using the Distributive Property, Solve the Problem below:
-2.5(4x - 4) = -6
(After using the Distributive Property, Solve for x)
The solution of the given linear equation can be obtained as x = 0.4.
What is meant by the distributive property?The distributive property states that the product of a number and the sum of other numbers is equal to the sum of their individual products.
It can be expressed as a(b + c + d) = ab + ac + ad.
The given linear equation can be solved as follows,
-2.5(4x - 4) = -6
Use distribute property in the RHS to obtain,
-2.5 × 4x - 2.5 × -4 = 6
=> -10x + 10 = 6
=> -10x = -4
=> x = 0.4
Hence, the given equation can be solved as x = 0.4.
To know more about linear equation click on,
https://brainly.com/question/11897796
#SPJ1
a company research team studied the relationship between brain storming/idea generation meetings with and without a moderator. for a random sample of four groups with a moderator, the mean number of ideas generated per group was 78 and standard deviation 24.4. for a random sample of four groups without a moderator, the mean number of ideas generated per group was 63.5 and standard deviation 20.2. the result of a test, at the 5% significance level, the assumption that the two population variances are equal against the alternative that the population variance is higher for a group with a moderator is:
The result of the test is that the assumption that the two population variances are equal is rejected at the 5% significance level, since the p-value is less than 0.05.
The first step is to set up the null hypothesis, which is that the population variances are equal for groups with and without a moderator. Then, we can use an F-test to compare the variances of the two groups. We calculate the F-statistic and its associated p-value. If the p-value is less than 0.05, then we reject the null hypothesis that the population variances are equal at the 5% significance level. In this case, the p-value is less than 0.05, so we reject the null hypothesis and conclude that the population variance is higher for groups with a moderator.The calculation of the F-statistic is as follows: F = (σ2_moderator) / (σ2_no moderator) = (24.4^2)/(20.2^2) = 1.49. The associated p-value is calculated using the F-distribution table, and is less than 0.05.
Learn more about variance here
https://brainly.com/question/13708253
#SPJ4
For a distribution that is symmetric the left whisker is.
For a symmetric distribution, the left whisker extends from the median to the minimum value in the dataset.
The left whisker represents the lower values or the lower tail of the distribution. It is also referred to as the "lower whisker" or the "whisker on the left side". The length of the left whisker may vary depending on the spread or range of the data.
In a box plot or box-and-whisker plot, the left whisker represents the lower values or the lower tail of the distribution. It indicates the range of values that lie below the median. The length of the left whisker is determined by the spread or range of the data.
If the data has a smaller range and is more tightly clustered around the median, the left whisker will be shorter. This indicates that the lower values in the dataset are relatively close to the median. On the other hand, if the data has a larger range and is more spread out, the left whisker will be longer. This suggests that the lower values in the dataset are more dispersed or spread out from the median.
To know more about symmetric distribution,
https://brainly.com/question/1531603
#SPJ11
4.33
The number of internal disk drives (in millions) made at a plant in Taiwan during the past 5 years follows:
YEAR
DISK DRIVES
1
140
2
160
3
190
4
200
5
210
a)Forecast the number of disk drives to be made next year, using linear regression.
b)Compute the mean squared error (MSE) when using linear regression.
c)Compute the mean absolute percent error (MAPE).
Could some please help? I would like to make sure my caculations are correct.
Thank you
(a) Forecast: Linear regression the next year is approx 191.6007.
(b) MSE: Mean Squared Error is approximately 249.1585.
(c) MAPE: Mean Absolute Percent Error is approximately 10.42%.
(a) (a) Forecast using linear regression:
To forecast the number of disk drives for the next year, we can use linear regression to fit a line to the given data points. The linear regression equation is of the form y = mx + b, where y represents the number of disk drives and x represents the year.
Calculating the slope (m):
m = (Σ(xy) - n(Σx)(Σy)) / (Σ(x^2) - n(Σx)^2)
Σ(xy) = (1)(140) + (2)(160) + (3)(190) + (4)(200) + (5)(210) = 2820
Σ(x) = 1 + 2 + 3 + 4 + 5 = 15
Σ(y) = 140 + 160 + 190 + 200 + 210 = 900
Σ(x^2) = (1^2) + (2^2) + (3^2) + (4^2) + (5^2) = 55
m = (2820 - 5(15)(900)) / (55 - 5(15)^2)
m = (2820 - 6750) / (55 - 1125)
m = -3930 / -1070
m ≈ 3.6729
Calculating the y-intercept (b):
b = (Σy - m(Σx)) / n
b = (900 - 3.6729(15)) / 5
b = (900 - 55.0935) / 5
b ≈ 168.1813
Using the equation y = 3.6729x + 168.1813, where x represents the year, we can predict the number of disk drives for the next year. To do so, we substitute the value of x as the next year in the equation. Let's assume the next year is represented by x = 6:
y = 3.6729(6) + 168.1813
y ≈ 191.6007
Therefore, according to the linear regression model, the predicted number of disk drives for the next year is approximately 191.6007.
(b) Calculation of Mean Squared Error (MSE):
To calculate the Mean Squared Error (MSE), we need to compare the predicted values obtained from linear regression with the actual values given in the data.
First, we calculate the predicted values using the linear regression equation: y = 3.6729x + 168.1813, where x represents the year.
Predicted values:
Year 1: y = 3.6729(1) + 168.1813 = 171.8542
Year 2: y = 3.6729(2) + 168.1813 = 175.5271
Year 3: y = 3.6729(3) + 168.1813 = 179.2000
Year 4: y = 3.6729(4) + 168.1813 = 182.8729
Year 5: y = 3.6729(5) + 168.1813 = 186.5458
Next, we calculate the squared difference between the predicted and actual values, and then take the average:
MSE = (Σ(y - ŷ)^2) / n
MSE = ((140 - 171.8542)^2 + (160 - 175.5271)^2 + (190 - 179.2000)^2 + (200 - 182.8729)^2 + (210 - 186.5458)^2) / 5
MSE ≈ 249.1585
The Mean Squared Error (MSE) for the linear regression model is approximately 249.1585.
This value represents the average squared difference between the predicted values and the actual values, providing a measure of the accuracy of the model.
(c) Calculation of Mean Absolute Percent Error (MAPE):
To calculate the Mean Absolute Percent Error (MAPE), we need to compare the predicted values obtained from linear regression with the actual values given in the data.
First, we calculate the predicted values using the linear regression equation: y = 3.6729x + 168.1813, where x represents the year.
Predicted values:
Year 1: y = 3.6729(1) + 168.1813 ≈ 171.8542
Year 2: y = 3.6729(2) + 168.1813 ≈ 175.5271
Year 3: y = 3.6729(3) + 168.1813 ≈ 179.2000
Year 4: y = 3.6729(4) + 168.1813 ≈ 182.8729
Year 5: y = 3.6729(5) + 168.1813 ≈ 186.5458
Next, we calculate the absolute percent error for each year, which is the absolute difference between the predicted and actual values divided by the actual value, multiplied by 100:
Absolute Percent Error (APE):
Year 1: |(140 - 171.8542) / 140| * 100 ≈ 18.467
Year 2: |(160 - 175.5271) / 160| * 100 ≈ 9.704
Year 3: |(190 - 179.2000) / 190| * 100 ≈ 5.684
Year 4: |(200 - 182.8729) / 200| * 100 ≈ 8.563
Year 5: |(210 - 186.5458) / 210| * 100 ≈ 11.682
Finally, we calculate the average of the absolute percent errors:
MAPE = (APE₁ + APE₂ + APE₃ + APE₄ + APE₅) / n
MAPE ≈ (18.467 + 9.704 + 5.684 + 8.563 + 11.682) / 5 ≈ 10.42
The Mean Absolute Percent Error (MAPE) for the linear regression model is approximately 10.42%.
This value represents the average percentage difference between the predicted values and the actual values, providing a measure of the relative accuracy of the model.
Learn more about Equation click here :brainly.com/question/13763238
#SPJ11
someone please help me what is (m - 5) divided by 4 where 5 = 17
15 points and BRAINLIEST John and his sister each bought a car in 2005. John's car cost $3,000 and is decreasing in value $150 per year. The value () of his sister's car x years after 2005 is given by
the function V(x) = 250x + 4,000. Which statement correctly compares the values of the cars from 2005 until 2017?
Answer:
C
Step-by-step explanation:
The Drama Club is holding a car wash to raise money. The club sper $90 on materials and supplies. The club
earns $11.25 for each car they wash. Which of the following is the inverse to the function of how much the
club earns per cars washed?
Answer:
8
Step-by-step explanation:
Based on the given conditions, formulate: 90 divided by 11.25
Convert decimal to fraction: 90/1125/100
Reduce the fraction: 90/45/4
Divide a fraction by multiplying its reciprocal: 90x4/45
Reduce the expression to the lowest term: 2x4
Calculate the product or quotient: 8
the quotient of 2 and a numbe x times 3
Answer:
Step-by-step explanation:
2x