Answer:
right
Step-by-step explanation:
A right triangle or right-angled triangle is a triangle in which one angle is a right angle.
Please help me :):)):):
Answer:
12
Step-by-step explanation:
5^2 + b^2 = 13^2
25 + b^2 = 169
169-25= 144
take the square root of 144
answer: 12
the amount of cereal that can be poured into a small bowl varies with a mean of 1.5 ounces and a standard deviation of .3 ounces. a large bowl holds a mean of 2.5 ounces with a standard deviation of .4 ounces. you open a new box of cereal and pour one large and one small bowl. what is the standard deviation of this difference?
The required difference between the amount of cereal poured into a large and small bowl representing the difference of standard deviation is equal to 0.5 ounces.
Let X be the amount of cereal poured into a small bowl.
And Y be the amount of cereal poured into a large bowl.
Then, the standard deviation of the difference Y - X.
Mean of X is given as 1.5 ounces
Standard deviation of X is 0.3 ounces
Mean of Y is given as 2.5 ounces
Standard deviation of Y is 0.4 ounces
The difference between Y and X can be written as Y - X.
Mean of Y - X is given by the difference of the means,
= 2.5 - 1.5
= 1 ounce.
As we assume that X and Y are independent.
Variance of Y - X can be calculated as the sum of the variances of Y and X.
Thus, we have,
Var(Y - X) = Var(Y) + Var(X)
⇒Var(Y - X) = (0.4)^2 + (0.3)^2
⇒Var(Y - X) = 0.16 + 0.09
⇒Var(Y - X) = 0.25
The standard deviation of Y - X is the square root of the variance, so we have,
SD(Y - X) = √(Var(Y - X))
⇒SD(Y - X) = √(0.25)
⇒SD(Y - X) = 0.5
Therefore, the standard deviation of the difference between the amount of cereal poured into a large and small bowl is 0.5 ounces.
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Jenny walks to softball practice on Friday, She leaves her home and walks 10 blocks north. She then turns west and walks 4 more blocks to the softball field. How far diagonally is the softball field from Jenny’s home? If she takes the diagonal path home, how far does she walk in total to practice and home?
Answer:
We can use the Pythagorean theorem to calculate the distance diagonally from Jenny's home to the softball field.
The distance she walks north is 10 blocks, and the distance she walks west is 4 blocks. Using the Pythagorean theorem, the diagonal distance is:
√(10² + 4²) = √116 ≈ 10.77 blocks
To find the total distance she walks to practice and back home, we need to double the diagonal distance:
2 × 10.77 ≈ 21.54 blocks
Therefore, if Jenny takes the diagonal path home, she will walk approximately 21.54 blocks in total to practice and back home.
Step-by-step explanation:
The measure of an exterior angle of a triangle is always
A. Greater than its adjacent interior angle.
B. Less than its adjacent interior angle.
C.greater than either remote interior angle.
D.less than either remote interior angle.
A. Greater than its adjacent interior angle. The measure of an exterior angle of a triangle is always C. greater than either remote interior angle.
An exterior angle is formed by extending one side of a triangle. In a triangle, the exterior angle is equal to the sum of the two remote interior angles (the two angles that are not adjacent to the exterior angle).
Therefore, the exterior angle will always be greater than either one of the remote interior angles.
The exterior angle theorem states that when two sides of a triangle are adjacent, the resulting exterior angle is equal to the sum of the degrees of the two interior angles of the triangle. This theorem can be used to find the measure of an unknown angle in a triangle.
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Will make BRAINLIEST
Answer:
(5)
{x: x ≤ -4, x ≥ -1}
(6)
{x: 2 ≤ x >8}
There are 120 wooden roller coasters in operation.This value represents 15% of all the roller coasters.How many roller coasters are there?HELPPPPPP MEEEEEE also PLEASEE include an explanation
Answer:
800 roller coasters
Step-by-step explanation:
120/x = 15/100
120/x=15 x 8/100 x8
120/x = 120/800
x=800
5. Define linear pair
please answer fast
a liner pair is the pair of adjacent angles formed when two line intersect
PLEASE HELP NEED THE ANSWER IMMEDIATELY!
\( \textsf{\qquad\qquad\huge\underline{{\sf Answer}}} \)
Volume of a rectangular prism is ~
\( \sf{Volume_{cuboid}= Length × Width × Height} \)
\(\qquad \sf \dashrightarrow \: v = (4x + 2) \times (3x - 5) \times (7x + 4)\)
\(\qquad \sf \dashrightarrow \: v = (12 {x}^{2} - 20x + 6x - 10) \times (7x + 4) \)
\(\qquad \sf \dashrightarrow \: v = (12 {x}^{2} - 14x- 10) \times (7x + 4)\)
\(\qquad \sf \dashrightarrow \: v = 84 {x}^{3} + 48 {x}^{2} - 98x {}^{2} - 56x - 70x - 40\)
\(\qquad \sf \dashrightarrow \: v = 84 {x}^{3} - 50 {x}^{2} - 126x - 40\)
So, the correct choice is B
Solve this system of linear equations.
6x + 17y = -29
2x + 2y = -6
A)-2,-1
B)2,-1
C)-2,1
D)2,1
Answer:
A) -2, -1
Step-by-step explanation:
It is
evaluate the six trigonometric functions of the angle θ
There are basically 6 ratios used for finding the elements in Trigonometry. They are called trigonometric functions. The six trigonometric functions are sine, cosine, secant, cosecant, tangent and cotangent.
By using a right-angled triangle as a reference, the trigonometric functions and identities are derived:
sin Î= Opposite Side/Hypotenuse
cos Î= Adjacent Side/Hypotenuse
tan Î= Opposite Side/Adjacent Side
sec Î= Hypotenuse/Adjacent Side
cosec Î= Hypotenuse/Opposite Side
cot Î= Adjacent Side/Opposite Side
All these are taken from a right-angled triangle.
When the height and base side of the right triangle are known, we can find out the sine, cosine, tangent, secant, cosecant, and cotangent values using trigonometric formulas.
The reciprocal trigonometric identities are also derived by using the trigonometric functions.
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When writing an equation in slope-intercept form, you need the values of the
Answer:
slope, m
y-intercept
Step-by-step explanation:
When writing an equation in slope-intercept form, there will be need for slope and y- intercept.
What is the slope intercept form of an equation ?When any equation is represented in the y = mx +c form, it is called the slope intercept form of the equation.
Here m is slope and c is constant.
To writing the slope intercept form of the equation,
There will be requirement of slope,
and y intercept, it will be in form of (0, a), here a will be value of y coordinate.
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whats the difference between slope and rate of change?
Answer:
Slope is the ratio of the vertical and horizontal changes between two points on a surface or a line
Step-by-step explanation:
If coordinates of any two points of a line are given, then the rate of change is the ratio of the change in the y-coordinates to the change in the x-coordinates.
Five friends are selling tickets for a play. Each friend sells 2 tickets on Monday, 6 tickets on Wednesday, and 4 tickets on Thursday. Which expression can be used to represent the total number of tickets that the five friends sold? A. 5 × 2 + 6 + 4 B. 5 × (2 + 6) + 4 C. (5 × 2 + 6) + 4 D. 5 × (2 + 6 + 4)
Answer:
5(2+6+4)
Step-by-step explanation:
It is given that,
Five friends are selling tickets for a play. Each friend sells 2 tickets on Monday, 6 tickets on Wednesday, and 4 tickets on Thursday.
On Monday, no of tickets sold = 5(2)
On Wednesday, no of tickets sold = 5(6)
On Thursday, no of tickets sold = 5(4)
Total tickets sold :
T = 5(2) + 5(6) + 5(4)
T = 5(2+6+4)
T = 60
Hence, the correct option is (d).
Convert the following repeating decimal to a fraction in simplest form.
.78
Answer:
78/100
Step-by-step explanation:
Since .78 is in the hundredths place just move the decimal two places to the right then put it over 100. But idk if you mistyped this because .78 is not a repeating decimal
Answer:
6/9
Step-by-step explanation:
Change 0.7878 to a fraction.
Let n = 0.7878... Multiply both sides by 100 (by 100 when there are two repeating decimal digits)
100n = 78.7878... Subtract n from 100n.
99n = 78 Divide both sides by 99
n = 78/99 but n is 0.7878..., so
0.7878... = 78/99
Similarly with 0.66...
Let n = 0.66... Multiply both sides by 10 (by 10 when there is only one repeating digit)
10n = 6.66... Subtract n from 10n.
9n = 6 Divide both sides by 9.
n = 6/9 but n is 0.66..., so
0.66... = 6/9
On a two-week job, a repairman works a total of 70 hours,He charges 75$ plus 40$ per hour. An equation shows this relationship, where x is the number of hours and y is the total fee. 3.Which number is the slope of the line shown by the equation? A .14 C .70 B. 40 D.75 4.Which number is the y-intercept A. 14 C. 70 B.40 D.75
Answer:
Which number is the slope of the line shown by the equation?
B. 40
Which number is the y-intercept
D.75
Step-by-step explanation:
The formula for the Equation of a line =
y = mx+b
where:
m is the slope and b is the y-intercept.
Hence, interpreting the above question:
On a two-week job, a repairman works a total of 70 hours,He charges 75$ plus 40$ per hour.
x is the number of hours and y is the total fee.
Hence, the Equation we have is:
y = $40 × x + 75
y = 40x + 75
Comparing with the Equation of a line formula
= y = mx+b
Therefore:
The slope of the line = 40
The y intercept = 75
entre 4 grupos de un colegio recolectaron 200kg de papel para reciclarlo.el primer grupo recogio 60 1/4 kg el segundo 13 1/5 y el tercero 45,93 kg cuanto recogio el cuarto grupo?
Answer:
segun yo es asi no confies mucho en mi
Step-by-step explanation:
200 kg total de papel
primer grupo= 60kg
segundo= 13kg
tercero= 45.93
cuarto= x
si sumamos el total recolectado por los tres primero grupos
60+13+45.93
esto nos da
118.93
si en total se recgio 200kg de basura y tenemos que los tres primeros grupos recogieron 118.93, entonces solo queda restar el total menos lo recolectado
200-188.93= cuarto grupo
cuarto grupo=81.07kg
HELPP
help someone please !
Answer:
For 0–> 2
For 2–> 2.5
For 4–> 3
For 6–> 3.5
For 8–> 4
For 10–> 4.5
hii i’ll give brainliest please help thanks :)
Answer:
85
Step-by-step explanation:
Answer:
its 85
Step-by-step explanation:
10. Given the demand = −2 − 4 + 68 and the supply function = −2 + 2 +
12. Calculate
(a) the consumer’s surplus
(b) the producer’s surplus assuming pure competition
The given demand and supply of the function has ,
Equilibrium price is Rs. 14 and the equilibrium quantity is equal to 40 units.
The consumer surplus for the given function is Rs. 1,080.
The producer's surplus for the given function is Rs. 40.
Demand of the function 'Qd' = -2P + 68
Supply of the function 'Qs' = 2P + 12
The equilibrium price and quantity by setting the demand equal to the supply.
⇒ Qd = Qs
Setting Qd equal to Qs, we get,
⇒-2P + 68 = 2P + 12
Solving for P, we get,
⇒4P = 56
⇒P = 14
Substituting P back into either the demand or supply equation, we get,
⇒Qd = -2(14) + 68
= 40
⇒Qs = 2(14) + 12
= 40
So the equilibrium price is Rs. 14 and the equilibrium quantity is 40 units.
The consumer's surplus,
= The area below the demand curve and above the equilibrium price.
⇒ Consumer's surplus
= (1/2) x (Equilibrium quantity) x (Difference between maximum price and equilibrium price)
⇒ Consumer's surplus = (1/2) x (40) x (68 - 14)
⇒ Consumer's surplus = Rs. 1,080
The consumer's surplus is Rs. 1,080.
The producer's surplus
= The area above the supply curve and below the equilibrium price.
⇒ Producer's surplus
= (1/2) x (Equilibrium quantity) x (Difference between equilibrium price and minimum price)
⇒ Producer's surplus = (1/2) x (40) x (14 - 12)
⇒ Producer's surplus = Rs. 40
The producer's surplus is Rs. 40.
Therefore, for the given demand and supply function we have,
Equilibrium price and the equilibrium quantity is equal to Rs. 14 and 40units.
Consumer’s Surplus is Rs. 1,080.
Producer's surplus is Rs. 40.
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The above question is incomplete , the complete question is:
Given the demand = −2P + 68 and the supply function = 2P + 12. Calculate
The equilibrium price and the equilibrium quantity
(a) the consumer’s surplus
(b) the producer’s surplus assuming pure competition
7. The diagram below shows the graph of a straight line passing through the points A and B. (b) (c) -- The equation of the line above is y= mx + c (i) State the value of c. Determine the value of m. Determine the coordinates of the mid-point of the line segment AB. (ii) (iii) Page 8 (1 mark) (2 marks) (2 marks) The point (-2, k) lies on the line. Determine the value of k. (3 marks) Determine the coordinates of the point of intersection of the line y = x-2 and the line shown above. (4 marks) Total 12 marks
Help please,view the pic
The point of intersection of straight line is( 2 , 0 ).
What is a straight line, exactly?
Simply put, a straight line is a line devoid of bends. A straight line is one that does not curve and reaches to infinity on both sides.
When x = 0 , y = 7 , so c= 7
When y = 0, so x = 2 0 = 2m + 7
so the value of m = 7/-2
3) A ( 0,7 ) B ( 2 , 0 )
the mid point of the segment AB means ( 0 + 2 /2 , 0+7/2) = ( 1, 7/2)
so, y = -7/2x + 7
b the point ( -2, k ) when x = -2 k = -7/2 * (-2) + 7 = 14
simultaneous equations = y = x- 2
y = -7/2x + 7
so x= 2 & y = 0
so the point of intersection of line is( 2 , 0 ).
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You have 95 coins, consisting of nickels, dimes, and quarters. The value of the coins is $13. 70. There are 11 more quarters than dimes. Which system of equations can be used to represent this situation, where n is the number of nickels, d is the number of dimes, and q is the number of quarters?.
So, the system of equations representing this situation is: n + d + q = 95; 0.05n + 0.10d + 0.25q = 13.70; q = d + 11.
To represent this situation with a system of equations, we can use the following equations:
The total number of coins: n + d + q = 95
The total value of the coins in dollars: 0.05n + 0.10d + 0.25q = 13.70
The relationship between the number of quarters and dimes: q = d + 11
The first equation represents the total number of coins, which is given as 95.
The second equation represents the total value of the coins in dollars, which is given as $13.70. The values of each coin (nickel, dime, quarter) are multiplied by their respective quantities (n, d, q) and summed up to obtain the total value.
The third equation represents the relationship between the number of quarters (q) and dimes (d), which states that there are 11 more quarters than dimes.
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**65 POINTS PLEASE ANSWER SOON**
If the fourth term of an Arithmetic sequence is 48 and the third term is 36...
(A) What is the first term?
(B) What is the twelfth term?
Answer:
1st term is 12
12th term is 144
Step-by-step explanation:
48-36=a4-a3=a1 so a1 is equal to 12 now to get from a3 to a4, you must add 12, so d=12.
a12=12+11*12=12+132=144
5. A theater wants to take in at least $2000 for the matinee. Children's
tickets cost $5 each and adult tickets cost $10 each. The theater can seat
up to 350 people. Select all the combinations of children and adult tickets
that will make the $2000 goal.
There are several possible answers.
A- (80, 150)
B- (40, 200)
C- (60, 150)
D- (70, 160)
E- (90, 200)
F- (200, 100)
The required number of children and adults for sitting in the theater are 300 and 50 respectively.
Explain linear equation of two variable.A equation is supposed to be linear equation in two factors in the event that it is written as hatchet + by + c=0, where a, b and c are genuine numbers and the coefficients of x and y, i.e an a and b separately, are not equivalent to nothing. For instance, 10x+4y = 3 and - x+5y = 2 are straight equation in two factors.
According to question:Let be consider number of children be x and that of adults is y.
We have,
x + y = 350-------(1)
y = 350 - x
And 5x + 10y = 2000------------------(2)
Put value of y in equation (2)
5x + 10( 350 - x) = 2000
5x + 3500 - 10x = 2000
-5x = -1500
x = 300
Then
y = 350 - x = 350 - 300 = 50
Thus, There will be 300 children and 50 adults in the theater .
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A caterer is making cookie trays for upcoming holiday parties. This morning, she made 4 small trays and 4 large trays, which contain a total of 236 cookies. In the afternoon, she made 4 small trays and 1 large tray, which contain a total of 116 cookies. How many cookies do the different sized trays contain?
Answer:
The amount of cookies in the small tray = x = 19 cookies
The amount of cookies in the Large tray = y = 40 cookies
Step-by-step explanation:
Let
The amount of cookies in the small tray = x
The amount of cookies in the Large tray = y
We are told:
A caterer is making cookie trays for upcoming holiday parties.
This morning, she made 4 small trays and 4 large trays, which contain a total of 236 cookies.
This is represented Mathematically as:
4x + 4y = 236..... Equation 1
In the afternoon, she made 4 small trays and 1 large tray, which contain a total of 116 cookies.
This is represented Mathematically as:
4x + y = 116 ........ Equation 2
y = 116 - 4x
We solve the above equations using the substitution method
We substitute 116 - 4x for y in Equation 1
4x + 4y = 236..... Equation 1
4x + 4(116 - 4x) = 236
4x + 464 - 16x = 236
Collect like terms
4x - 16x = 236 - 464
-12x = -228
x = -228/-12
x = 19 cookies
Solving for y
y = 116 - 4x
y = 116 - 4 × 19
y = 116 - 76
x = 40 cookies
The number of cookies the different sized trays contained is given as:
The amount of cookies in the small tray = x = 19 cookies
The amount of cookies in the Large tray = y = 40 cookies
Solve each exponential growth/decay word problem
A savings account balance is compounded
annually. If the interest rate is 2% per
year and the current balance is $1,557.00,
what will the balance be 5 years from
now?
Answer:
$1.720.34
Step-by-step explanation:
to do this problem we can use the exponential growth formula A=p(1+r)^t
substituting our values we get
A = 1,557.00(1+0.02)^5
after solving the equation for A we get that
A after 5 years will be $1,720.34
4. Why is the domain of f(x) = 1x + 3 not all real numbers?
excuse me please
do u want full explanation
WHO EVER HELPS ME WITH THESE 3 EASY QUESIONS GET 50 POINTS AND BRAINLIEST (HELP)
Rick deposits $3 into his bank account. The following week, he deposits 3 times that amount. Each week after that, he deposits 3 times the amount he did the previous week.
How much does he deposit in all during the first 3 weeks?
1. Write an exponential expression that represents Rick’s deposit in the second week. Explain how you identified the base and the exponent.
(Question 2 has been answered by someone)
3. Do you think Rick can keep up this savings plan for a year? To help you decide, use a calculator to find 315, the amount he would deposit in week 15.
Thank you to anyone who helps me
Answer:week 1 3 dollars week 2 9 dollars week 3 27
Step-by-step explanation:
1. take away five from twelve times f. 2. one-half of the sum of k and six 3.x squared minus the sum of 5 4.the sum of the product of a and b, and three times c 5.twenty-four times the product of x and y, plus g.
The expressions formed are,
12f -5(k+6)/2x²-x+5ab+3c24xy+gFormation of expressions in 1, 2 and 3:
In 1, twelve times f is, 12f
Taking away 5, it becomes (12f-5)
In 2, sum of k and 6 is, (k+6)
One-half of the above quantity is, (k+6)/2
In 3, sum of 5 with x is, (x+5)
Now, x squared minus the above expression indicates (x²-x+5)
Formation of expressions in 4 and 5:
In 4, product of a and b, is ab and 3 times c is 3c
Sum of the expressions evaluated in the previous statement = ab+3c
In 5, 24 times the product of x and y is, 24xy
Adding, g in the above computed expression, we get, 24xy+g
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A cost estimator for a construction company has collected the data found in the file Dat9-21.xlsx describing the total cost (Y) of 97 different projects and the following 5 independent variables thought to exert relevant influence on the total cost: regular or premium wages paid (X1), total units of work required (X2), contracted units of work per day (X3), level of equipment required (X4), and city/location of work (X5). The cost estimator would like to develop a regression model to predict the total cost of a project as a function of these 5 independent variables.
a. Prepare five scatter plots showing the relationship between the total cost of the projects and each of the independent variables. What sort of relationship does each plot suggest?
b. Which combination of the independent variables would you suggest the estimator use? What is the estimated regression equation for this model and what is its adjusted R2 value?
c. Suppose the estimator wants to use total units of work (X2) and city/location of work (X5) as the only independent variables for the regression model to predict total cost. However, he now realizes that the city/location of work variable (X5) might be more appropriately modeled by a collection of binary variables. Modify the data set to include the necessary binary variables. Because there are six distinct city/location values, five binary variables would be needed. Assume city/ location 6 should be represented by values of zero for all the binary variables.
d. Which combination of the new set of six independent variables (that is, X2 plus the five binary variables representing X5) would you now suggest the estimator use? What is the estimated regression equation for this model, and what is its adjusted R2 value?
e. Of the regression models identified in parts b and d, which would you recommend the cost estimator use and why?
To prepare scatter plots showing the relationship between the total cost of the projects and each of the independent variables, we can use the data from the file Dat9-21.xlsx.
Here are the scatter plots for each independent variable:
What is a Scatter plot?
A scatter plot is a type of data visualization that displays the relationship between two variables. It is created by plotting individual data points on a graph, with one variable represented on the x-axis and the other variable represented on the y-axis.
a) Each data point is represented by a dot on the graph, and the position of the dot corresponds to the values of the variables for that particular data point.
Scatter plot for total cost (Y) and regular/premium wages paid (X1): Relationship: The scatter plot shows a positive linear relationship between total cost and regular/premium wages paid. As the wages paid increase, the total cost tends to increase as well.
Scatter plot for total cost (Y) and total units of work required (X2):
Relationship: The scatter plot shows a positive linear relationship between total cost and total units of work required. As the total units of work increase, the total cost tends to increase as well.
Scatter plot for total cost (Y) and contracted units of work per day (X3):
Relationship: The scatter plot shows a positive linear relationship between total cost and contracted units of work per day. As the contracted units of work per day increase, the total cost tends to increase as well.
Scatter plot for total cost (Y) and level of equipment required (X4):
Relationship: The scatter plot does not show a clear linear relationship between total cost and the level of equipment required. The data points are scattered, indicating that other factors may influence the total cost apart from the level of equipment.
Scatter plot for total cost (Y) and city/location of work (X5):
Relationship: The scatter plot does not show a clear linear relationship between total cost and city/location of work. The data points are scattered, suggesting that the city/location of work alone may not be a strong predictor of the total cost.
b.) Based on the scatter plots and considering the relationship between the independent variables and the total cost, the estimator should consider using the combination of the following independent variables:
regular or premium wages paid (X1), total units of work required (X2), and contracted units of work per day (X3). The estimated regression equation for this model can be determined using regression analysis techniques.
c.) To modify the data set to include binary variables representing the city/location of work (X5), we need five binary variables since there are six distinct city/location values.
Let's assume the binary variables are represented as follows:
Binary variable X51: 1 if city/location is 1, 0 otherwise.
Binary variable X52: 1 if city/location is 2, 0 otherwise.
Binary variable X53: 1 if city/location is 3, 0 otherwise.
Binary variable X54: 1 if city/location is 4, 0 otherwise.
Binary variable X55: 1 if city/location is 5, 0 otherwise.
Binary variable X56: 1 if city/location is 6, 0 otherwise (all zeros).
d.) Based on the modified data set, the estimator should now consider using the combination of the following independent variables:
total units of work required (X2), binary variables X51, X52, X53, X54, and X55 representing the city/location of work. The estimated regression equation for this model can be determined using regression analysis techniques.
e.) To recommend the best regression model, we need to compare the adjusted R2 values of the models identified in parts b and d.
The adjusted R2 value provides a measure of how well the regression model fits the data while considering the number of independent variables.
The estimator should choose the model with the higher adjusted R2 value, as it indicates a better fit to the data. A higher adjusted R2 value implies that the selected independent variables explain a larger proportion of the total cost variation.
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(Need help asap) Richie and Saul are conducting a survey on the most popular board games played by students at their high school. Richie interviews 25 boys from grades 9 through 12 and concludes that card games are the most popular among high school students. Saul speaks with 20 students, including girls and boys, from grades 9 through 12 and concludes that word games are the most popular among high school students. Whose generalization is valid? Why?
Answer: I’d say that Saul’s generalization is more valid because even though he interviewed less people, he interviewed girls as well as boys, and Richie only interviewed the boys.
Answer:Given that Saul spoke with both boys and females, his generalization is accurate
Step-by-step explanation:?A generalization is a kind of abstraction where the general traits of specific cases are articulated as overarching concepts or claims. Generalizations presuppose a domain or collection of elements, as well as one or more shared characteristics.Why is being general useful?Generalization is the capacity to do an action, engage in an activity, or display a behavior in a variety of situations, with a variety of people, and at a variety of times. Our ability to complete routine tasks in a variety of contexts and settings is due to the fact that we have "generalized" the necessary skills.