Answers
144
Explanation:
In the closet, we have:
6 pairs of pants
8 shirts
3 pairs of shoes
To know the number of possible combinations that could be made from the available objects, all we have to do is multiply all three numbers together.
Therefore:
possible outcomes = number of pants * number of shirts * number of shoes
possible outcomes = 6 * 8 * 3
possible outcomes = 144
This means that the tree diagram would have 144 leaves to represent all possible combinations.
Hope this helps :)
Related Questions
Hey can you please help me posted picture of question
Answers
1) Vertical stretch by a factor of 2
So, G(x) will be changed to 2G(x)
2) Shift towards Right by 2 units
So, 2G(x) will be changed to 2G(x - 2)
3) Upward shift by 2 units.
So, 2G(x - 2) will be changed to 2G(x - 2) + 2
Thus,
F(x) = 2G(x - 2) + 2
F(x) = 2(x - 2)² + 2
Therefore, option C is the correct answer
Write the sum using summation notation, assuming the suggested pattern continues. 16 + 25 + 36 + 49 + ... + n2 + ...
Answers
Answer:
Hence, the sum using summation notation, assuming the suggested pattern continues [tex]16+25+36+49+......+n^2+.....[/tex] is:
[tex]\sum_{n=4}^{\infty}n^2[/tex]
Step-by-step explanation:
We have to write the sum using summation notation, assuming the suggested pattern continues:
[tex]16+25+36+49+......+n^2+.....[/tex]
Clearly we may also write this pattern as:
[tex]4^2+5^2+6^2+.....+n^2+......[/tex]
So, in terms of the summand it is written as:
[tex]\sum_{n=4}^{\infty}n^2[/tex]
( We have started our summation from 4 since the term in the summation starts with 16 which is 4^2 and goes to infinity )
Consider a population of 300 with a mean of 60 and a standard deviation equal to 23 . what is the probability of obtaining a sample mean of 62 or less from a sample of 40 ?
Answers
What is the solution to log^2 (2x^3 -8)-2log ^2 x= log^2x
Answers
[tex] log_{2}(2 {x}^{3} - 8) - 2 log_{2}(x) = log_{2}(x) [/tex]
Transposing log x to other side :
[tex] = > log_{2}(2 {x}^{3} - 8) = log_{2}(x) + 2 log_{2}(x) [/tex]
Using Logarithmic Property :
[tex] = > log_{2}(2 {x}^{3} - 8) = log_{2}( {x}^{3} ) [/tex]
Raising to the power 2 :
[tex] {x}^{3} - 8 = 0[/tex]
[tex] = > (x - 2)( {x}^{2} + 2x + 4) = 0[/tex]
[tex] = > x = 2[/tex]
Hence, [ x = 2 ] is the only real solution !
Q # 20 solve the system by graphing. X + Y = 3 , Y = 2 x - 15
Answers
the answer is (6,-3)
Find the area of a circle with a diameter of 20 inches. use 3.14 for pi. (1 point) 62.8 in2 125.6 in2 188.4 in2 314 in2
Answers
The answer is D 314 in^2
There are approximately 2.6 million deaths per year in country A. Express this quantity as deaths per minute.
Answers
365x24=8760 hours
8760x60=525 600 minutes
Dividing 2.6 million to the last number (525 600), we find death per minute in this country, which gives us more than 4 deaths in a minute.
Will give brainliest
The graph shows the function f(x).
Which value is closest to the average rate of change from x = 1 to x = 4?
A.−3.5
B.−2.3
C.−1.4
D.−0.3
Answers
Answer: B-2.3
Step-by-step explanation:
Just took the test heres the answer and proof
A moving company charges $0.60 per pound for a move from New York to Florida. A family estimates that their belongings weigh about 4 tons. About how much would it cost the family to move from New York to Florida? $2,400 $6,000 $4,800 $10,000
Answers
by 0.60 and that gives you the result of $4,800.
simplify 5p2 5p3?
whats the answer
Answers
[tex] \frac{ {5p}^{2} }{5 {p}^{3} } = \frac{5}{5p} = \frac{1}{p} [/tex]
Answer C.
Explanation:
First divide the expression by p^2 and second divide by 5. Now we've found the simplified expression and our answer.
~ Hope this helps you!
The coordinates have opposite signs. Which choice includes all the quadrants that could contain the point?
Answers
In fact, if it is in quadrant 2, the point has negative x-coordinate and positive y-coordinate, while if it is in quadrant 4, it has positive x-coordinate and negative y-coordinate, so in both cases the two coordinates have opposite signs.
Instead, in quadrant 1 both x- and y- coordinates have same sign (positive), and in quadrant 3 both x- and y- coordinates have same sign (negative), so these choices are not correct.
Final answer:
A point with coordinates that have opposite signs could lie in either the second or fourth quadrant of a coordinate system. The second quadrant contains points where x is negative and y is positive, while the fourth quadrant contains points where x is positive and y is negative.
Explanation:
When discussing the coordinates with opposite signs in a coordinate system, we are referring to the locations where the x and y coordinates have different signs. In this case, we are considering which quadrants could contain a point with coordinates that have opposite signs. To visualize this, we must remember that the coordinate system is divided into four quadrants, with each axis serving as a boundary between them. The quadrants are usually numbered counterclockwise, starting with the top right quadrant as the first quadrant.
In the first (I) quadrant, both x and y are positive. In the second (II) quadrant, x is negative while y is positive. In the third (III) quadrant, both x and y are negative. And in the fourth (IV) quadrant, x is positive while y is negative. Therefore, if a point has coordinates with opposite signs, it could only be found in the second (II) and fourth (IV) quadrants, where one of the coordinates is positive and the other is negative.
Solve the equation: x^3 - 12x^2 + 48x - 64 = 0
Answers
The surface area of a sphere is S(x) = 4πx2, where x is the length of the radius of the sphere. Restrict the domain to create a one-to-one function. Find and describe the inverse function
Answers
S(x)/(4π)=x²
get the square root of both sides:
x=√[S(x)/(4π)]
replace x by S⁻¹(x) and S(x) by x
this will give us the inverse as :
S⁻¹(x)=√[x/(4π)]
The above implies that the inverse is the square root of the radius divided by 4π
Answer:
The answer is [tex]s^(-1 )(x) = (1)/(2\sqrt(\pi ))\sqrt(x)[/tex] .
Step-by-step explanation:
The input of [tex]s^(-1 )[/tex] is the surface area of a sphere; the output is the length of the radius.
ΔXYZ was reflected to form ΔLMN. Which statements are true regarding the diagram? Check all that apply. ΔXYZ ≅ ΔLMN ∠Y ≅ ∠M ∠X ≅ ∠L ∠Z ≅ ∠L YZ ≅ ML XZ ≅ LN
Answers
Answer:
A)ΔXYZ ≅ ΔLMN
B)∠Y ≅ ∠M
C)∠X ≅ ∠L
F)XZ ≅ LN
Step-by-step explanation: correct on edge 2020
A reflected triangle is congruent to the original triangle with corresponding angles and sides being equal. However, the orientation changes such that ∠X corresponds to ∠L, ∠Y to ∠M, and ∠Z to ∠N in the reflected triangle. Similarly, side YZ corresponds to MN, not ML, and XZ corresponds to LN.
Explanation:In the subject of mathematics, specifically geometry, when you reflect a shape, the original shape and its image are congruent. This means they have the same size and shapes, but their orientation might differ. Therefore, the statement ΔXYZ ≅ ΔLMN is indeed true.
In terms of the specific angles, a reflection does not change their measures; it simply changes their orientations. Therefore, ∠X is congruent to ∠L, ∠Y is congruent to ∠M, and ∠Z is congruent to ∠N. However, the statement ∠Z ≅ ∠L is incorrect as Z corresponds to N, not L, in the reflected triangle.
Similarly, side lengths also remain the same in a reflection. Thus, XY corresponds to ML, YZ corresponds to MN and XZ corresponds to LN, making the statements YZ ≅ MN and XZ ≅ LN true. But the statement YZ ≅ ML is incorrect as YZ corresponds to MN, not ML, in the reflected triangle.
Learn more about Reflections in Geometry here:
https://brainly.com/question/32510633
#SPJ11
Find the length and width of a rectangle that has the given perimeter and a maximum area. perimeter: 316 meters
Answers
(316 m)/4 = 79 m.
_____
Let x represent the length of the rectangle. Then the width in meters is 316/2 -x. The area is the product of length and width.
area = x(158 -x)
This is the equation of a parabola that opens downward. It has zeros at x=0 and x=158. The vertex is on the line of symmetry, halfway between the zeros, at x=79.
The length is 79 m.
The width is 158 -79 = 79 m.
Let f be a function of two variables that has continuous partial derivatives and consider the points a(7, 3), b(12, 3), c(7, 7), and d(15, 9). the directional derivative of f at a in the direction of the vector ab is 5 and the directional derivative at a in the direction of ac is 4. find the directional derivative of f at a in the direction of the vector ad. (round your answer to two decimal places.)
Answers
[tex]\nabla f(x,y)\cdot\mathbf v[/tex]
We have [tex]\vec{ab}=\mathbf b-\mathbf a=(12-7,3-3)=(5,0)[/tex], so that [tex]\|\vec{ab}\|=5[/tex], at which point we're given
[tex]\nabla f(7,3)\cdot\dfrac{(5,0)}5=5\implies1\cdot\dfrac{\partial f}{\partial x}(7,3)+0\cdot\dfrac{\partial f}{\partial y}(7,3)=5[/tex]
[tex]\implies\dfrac{\partial f}{\partial x}(7,3)=5[/tex]
We're also given that, in the direction of [tex]\vec{ac}=\mathbf c-\mathbf a=(7-7,7-3)=(0,4)[/tex] with [tex]\|\vec{ac}\|=4[/tex], we have
[tex]\nabla f(7,3)\cdot\dfrac{(0,4)}4=4\implies0\cdot\dfrac{\partial f}{\partial x}(7,3)+1\cdot\dfrac{\partial f}{\partial y}(7,3)=4[/tex]
[tex]\implies\dfrac{\partial f}{\partial y}(7,3)=4[/tex]
So in the direction of [tex]\vec{ad}=\mathbf d-\mathbf a=(15-7,9-3)=(8,6)[/tex], with [tex]\|\vec{ad}\|=10[/tex], we have
[tex]\nabla f(7,3)\cdot\dfrac{(8,6)}{10}=\dfrac1{10}(4,4)\cdot(8,6)=9.60[/tex]
To answer this question, it is necessary to make use of the concepts of directional derivative and gradient of a function.
The solution is:
grad F( x, y ) ×ad(u) =64/10
The gradient of a function f (x,y) is a vector defined by:
grad f(x,y) = δf(x,y)/δx × i + δf(x,y)/δy × j
and directional derivative, in the direction of ab is defined by :
grad f( x,y) × Uᵃᵇ(u) (1) where Uᵃᵇ is a unitary vector in the direction of ab
according to that Uᵃᵇ (u) = Uᵃᵇ/|ab|
Then if the directional derivative of f (x,y) in the direction of the vector ab is 5.
A ( 7 , 3 ) B ( 12 , 3 ) then vector ab is:
ab = [ 12 - 7 , 3 - 3 ] ⇒ ab = [ 5 , 0 ] and |ab| = √ (5)² (0)² |ab| = 5
a unitary vector in the direction of ab is:
ab(u) = 5×i/ 5 and according to equation (1)
δf(x,y) / δx × i × 5 × i / |5| = 5
δf(x,y) / δx × i × 5 × i = 25
δf(x,y) / δx = 5 then f( x,y ) = 5 × x + ????
We go on to calculate the component on j of f(x,y)
Following the same procedure
ac = ( 7 , 7 ) - ( 7 , 3 ) ⇒ ac = [ 0 , 4 ] |ac| = √(4)² + (0)²
|ac| = 4
Unitary vector in the direction of ac(u) is:
ac/|ac| = 4 × j / 4
Then :
δf(x,y) / δy × j × + 4 × j / 4 = 4
δf(x,y) / δy × j × + 4 × j = 16
δf(x,y) / δy = - 4 and f(x,y) = -4×y
f(x,y) = 5 × i + 4 × j
Finally:
vector ad = [ ( 15 - 7 , 9 - 3 ) ] ⇒ ad = ( 8 , 6 )
Unitary vector in direction ad is
ad(u) = ( 8 ×i + 6 ×j ) / √ (8)² + (6)² ⇒ ad(u) = ( 8 ×i + 6 ×j ) /√ (8)² + (6)²
ad(u) = ( 8 ×i + 6 ×j ) /10
Now we have f (x,y ) = 5 × i + 4 × j and ad(u) = ( 8 ×i + 6 ×j ) /10
We can calculate the directional derivative of f(x,y) in the direction of ad with the use of equation (1)
grad F( x, y ) ×ad(u) = ( 5 × i + 4 × j ) × ( 8 ×i + 6 ×j ) /10
grad F( x, y ) ×ad(u) = 4 + ( 24/10)
grad F( x, y ) ×ad(u) =64/10
Related Link :https://brainly.com/question/7638557
A fair coin is tossed 25 times. what is the probability that at most 24 heads occur?
Answers
The probability that at most 24 heads occur is; 24/25.
What do we mean by probability?Probability is the branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely it is that a proposition is true. The probability of all the events occurring need to be 1.
We have been given that a fair coin is tossed 25 times.
So, We need to find the probability:
Favourable outcomes = 24
Total outcomes = 25
The formula of probability = Favourable outcomes/Total outcomes
⇒ 24 /25
Therefore, the probability that at most 24 heads occur is; 24/25.
Know more about probability here:
brainly.com/question/24756209
#SPJ2
The probability of getting at most 24 heads in 25 tosses of a fair coin is approximately 99.999997%
The probability of getting at most 24 heads when a fair coin is tossed 25 times is essentially 100%, because the only other possible outcome is getting exactly 25 heads, which has a very small probability. Since each toss of a fair coin has only two possible outcomes (either head or tail), and each toss is independent, we can use the binomial distribution to find the probability of a certain number of heads occurring.
To calculate the probability of getting exactly 25 heads in 25 tosses, we use the binomial probability formula:
P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
Where:
n is the number of trials (tosses), so n=25,
k is the number of successes (heads) we're calculating the probability for, so k=25,
p is the probability of success on any given trial, which is 0.5 for a fair coin.
Substitute these values into the formula, we get:
P(X = 25) = (25 choose 25) * 0.5^25 * (1-0.5)^(25-25)
This equates to:
P(X = 25) = 1 * 0.5^25 * 1 = 1/33,554,432 ≈ 0.00000003 or 0.000003%.
Therefore, the probability of getting at most 24 heads is 1 - P(X = 25) which is approximately 0.99999997 or 99.999997%.
Suppose p4(x) = 3 − 4x + 2x 2 − 3x 3 + 2x 4 is the degree 4 taylor polynomial centered at x = 0 for some function f. (i) what is the value of f(0)?
Answers
Hence, the Taylor polynomial centered at [tex]x=0[/tex] for some function [tex]f[/tex] is [tex]p^4(x)=3[/tex].
What is an equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here given equation is
[tex]p^4(x)=3-4x+2x^2-3x^3+2x^4 .......(1)[/tex]
Substitute [tex]x=0[/tex] in the equation [tex](1)[/tex], we get
[tex]p^4(x)=3-4(0)+2(0)^2-3(0)^3+2(0)^4 \\p^4(x)=3[/tex]
Hence, the Taylor polynomial centered at [tex]x=0[/tex] for some function [tex]f[/tex] is [tex]p^4(x)=3[/tex].
To know more about the equation
https://brainly.com/question/12788590
#SPJ2
Final answer:
The value of f(0) for the given Taylor polynomial p4(x) = [tex]3 - 4x + 2x^2 - 3x^3 + 2x^4[/tex] is 3, as the constant term in a Taylor polynomial centered at x = 0 represents f(0).
Explanation:
The question asks for the value of f(0) given a degree 4 Taylor polynomial for some function f, centered at x = 0. A Taylor polynomial of a function f centered at x = 0 is given by
f(x) = f(0) + f'(0)x + f''(0)x2/2! + f'''(0)x3/3! + ...
Each coefficient in front of the powers of x represents the derivative of f at 0 divided by the factorial of the order of the derivative. For
p4(x) = [tex]3 - 4x + 2x^2 - 3x^3 + 2x^4[/tex]
the constant term, which is 3, represents f(0), because it corresponds to the value of the function at x = 0 before any derivatives are taken into account.
If the endpoints of the diameter of a circle are (−10, −8) and (−6, −2), what is the standard form equation of the circle? A) (x − 8)2 + (y − 5)2 = 13 B) (x + 8)2 + (y + 5)2 = 13 C) (x − 8)2 + (y − 5)2 = 13 D) (x + 8)2 + (y + 5)2 = 13
Answers
B) (x+8)² + (y+5)² = 13
D) (x+8)² + (y+5)² = 13
_____
The center is at the midpoint of the diameter, ((-10-6)/2, (-8-2)/2) = (-8, -5). For center (h, k) and radius r, the equation is
(x -h)² +(y -k)² = r²
(x -(-8))² +(y -(-5))² = (√13)²
(x+8)² + (y+5)² = 13
Answer: D) (x+8)2 +( y+5)2 = 13
Step-by-step explanation:
Got this right on USA test prep
Divide the following polynomials. Then place the answer in the proper location on the grid. Write your answer in order of descending powers of x. Write the quotient and remainder as a sum in this format: . Do not include parentheses in your answer. ( x^3 + y^3) ÷( x- y )
Answers
The quotient is [tex]\(x^2 + xy + y^2\)[/tex]s [tex]\(0\)[/tex]
Explanation:To divide the polynomial [tex]\(x^3 + y^3\) by \(x - y\),[/tex]division. The process yields a quotient of [tex]\(x^2 + xy + y^2\)[/tex]f [tex]\(0\)[/tex]s result indicates that the given polynomial is divisible by \(x - y\) without any remainder. The quotient represents the solution, showcasing the expression obtained when [tex]\(x^3 + y^3\)[/tex]y [tex]\(x - y\).[/tex] in the quotient is arranged in descending powers of [tex]\(x\)[/tex] ering to the instructions.
The remainder being [tex]\(0\)[/tex] irms the complete divisibility of the original polynomial by \(x - y\). This concise and ordered format aligns with the specified requirements for presenting the solution on the grid. In summary, the division of [tex]\(x^3 + y^3\) by \(x - y\)[/tex] [tex]\(x^2 + xy + y^2\)[/tex] f [tex]\(0\)[/tex]
Is a heart shape a quadrilateral
Answers
A long rope should be divided into pieces of 27 meters long each. if the rope measures 1215 meters, how many cuts should we make?
Answers
Answer:
yes
Step-by-step explanation:
At 9AM, a freight train leaves Boston for NYC, traveling at an average rate of 24 miles per hour. At noon, a passenger train sets out on the same route, traveling at an average rate of 60 miles per hour. How far from Boston do the two trains pass each other?
___ miles
Answers
How far as the slower train traveled in 3 hours?
Formula
d = r* t
r = 24 mph
t = 3 hours
d = ??
d = 24 * 3
d = 72 miles.
Step two
Start the clock at noon when the faster train begins to move. How much time will elapse before the fast train catches the slow one?
d = 60*t fast train
d = 24*t + 72 slow train The distances are the same so they can be equated..
Step Three
Solve the equation
60t = 24t + 72 Subtract 24t from both sides.
60t - 24t = 72
36t = 72 Divide by 48
t = 72 / 36
t = 2 hours.
How far does the fast train go in 2 hours?
d = r * t
r = 60 mph
t = 2 hours.
d = 60 * 2
d = 120 miles
How far does the slow train go in 2 hours.
r = 24 mph
t = 2 hours
d = 24 * 2
d = 48 miles
But the slow train started out 72 miles ahead of the fast train. It's distance from Boston is 48 + 72 = 120 miles.
Answer: Both trains will meet 120 miles away from Boston <<<<< Answer
Final answer:
The freight and passenger trains will meet 120 miles from Boston at 2 PM, which is 2 hours after the passenger train departs.
Explanation:
To solve this problem, we need to figure out when the two trains will meet, given their different start times and speeds. Since the freight train leaves at 9 AM and the passenger train leaves at noon, there is a 3-hour difference between their departure times.
In those 3 hours, the freight train will cover a distance of 3 hours imes 24 miles/hour = 72 miles.
Both trains are now heading towards each other, with the passenger train moving faster. We need to find out how long it will take for the passenger train to catch up to the freight train, starting from the 72-mile head start.
Let's call the time it takes for the passenger train to catch up 't' hours. In 't' hours, the passenger train will cover 60t miles and the freight train will cover 24t miles.
Since the passenger train is trying to cover the lead that the freight train has plus the distance both are covering after noon, we can set up an equation: 60t = 72 + 24t. Solving for 't' gives us 't' = 72 / (60 - 24) = 2 hours. So, in 2 hours after noon, which is at 2 PM, the two trains will meet.
Now we find out how far from Boston they will meet by calculating the distance the passenger train travels in those 2 hours: Distance = 60 miles/hour imes 2 hours = 120 miles from Boston.
Which of the following is a recurring fee?
A. Points
B. Appraisal
C. Taxes
D. Processing
Answers
Every year, Americans have to pay a fee that is called "Taxes." There are a few types of different taxes. For example, one of which is referred to as "Income Taxes." It essentially just groups out everyone's different incomes and takes away a percentage of it. All Taxes collected to straight to the government.
In conclusion, your answer is "C. Taxes."
Hope this helps!
- Sofie
Which of the following terms correctly describes 4:1?
Answers
Answer:
The answer is Ratio
Step-by-step explanation:
Ratio, correctly describes the expression, 4:1. Option (A) is correct.
Let's discuss the given options.
(A) Ratio: In mathematics, ratio is a comparison of two numbers, it is expressed in the form of "a : b," where "a" and "b" are the quantities being compared. It shows the relative proportion between the values.
(B) Percent: When we want to represent a fraction or ratio as a number out of 100, a percent is used. It represents by the symbol %. For example, 40% = 40 out of 100 or 40/100.
(C) Factor: A number that evenly divides another number without producing a residual is referred to as a factor. For example, 1,2,3 are the factors of 6 because they divide 6 without any remainder.
(D) Fraction : A fraction represents a part of a whole. It is in the form of numerator divided by denominator. For example, 2/5 represents 2 parts out of 5 equal parts.
Now, take the given expression, which is 4:1. The definition of ratio fits well for this expression. It means that there are four units of one quantity for every one unit of the other quantity.
Hence, 4:1 is a ratio. Option (A) is correct.
Learn more about ratio here:
https://brainly.com/question/13419413
#SPJ6
The complete question is as follows:
Which of the following terms correctly describes 4:1?
(A) Ratio
(B) Percent
(C) Factor
(D) Fraction.
Hey can you please help me posted picture of question
Answers
Die 1 Die 2 Sum
1) 1 1 2
2) 1 2 3
3) 1 3 4
4) 1 4 5
5) 1 5 6
6) 1 6 7
7) 2 1 3
8) 2 2 4
9) 2 3 5
10) 2 4 6
11) 2 5 7
12) 2 6 8
13) 3 1 4
14) 3 2 5
15) 3 3 6
16) 3 4 7
17) 3 5 8
18) 3 6 9
19) 4 1 5
20) 4 2 6
21) 4 3 7
22) 4 4 8
23) 4 5 9
24) 4 6 10
25) 5 1 6
26) 5 2 7
27) 5 3 8
28) 5 4 9
29) 5 5 10
30) 5 6 11
31) 6 1 7
32) 6 2 8
33) 6 3 9
34) 6 4 10
35) 6 5 11
36) 6 6 12
Probability the two numbers will have a sum of 5: P
P=(Number of favorable results)/(Number of possibe results)
Number of favorable results: 4
1) Dice 1: 1 and Dice 2: 4
2) Dice 1: 2 and Dice 2: 3
3) Dice 1: 3 and Dice 2: 2
4) Dice 1: 4 and Dice 2: 1
Number of possible results: 36
P=4/36
Simplifying, dividing the numerator and the denominator by 4:
P=(4/4)/(36/4)
P=1/9
Answer: Option B. 1/9
Lisa has a scholarship that pays 75% of her tuition for all four years she attends college. What is the total amount the scholarship is worth if Lisa's classes cost 12,000 per year
Answers
Now you calculate the 75% from this amount because we want to obtain the amount of money the scholarship is worth. That is 480,000 x 75% = 360,000
or 480,000 x 0.75 = 360,000
So, the scholarship is of 360,000
If a data set has ssr = 400 and sse = 100, then the coefficient of determination is
Answers
1. You have that the data set has SSR=400 and SSE=100
2. Therefore you have the coefficient of determination is:
r²=SSR/SSTO
SSTO=SSR+SSE
3. Then, when you substitute the values, you obtain:
SSTO=400+100
SSTO=500
r²=400/500
4. So, you have that the result is:
r²=0.8
Therefore, as you can see, the answer for the exercise shown above is: the coefficient of determination is 0.8
To solve this problem you must apply the proccedure shown below:
1. You have that the data set has SSR=400 and SSE=100
2. Therefore you have the coefficient of determination is:
r²=SSR/SSTO
SSTO=SSR+SSE
3. Then, when you substitute the values, you obtain:
SSTO=400+100
SSTO=500
r²=400/500
4. So, you have that the result is:
r²=0.8
Therefore, as you can see, the answer for the exercise shown above is: the coefficient of determination is 0.8
Read more on Brainly.com - https://brainly.com/question/9981340#readmore
A city had a parade for a winning basketball team. Since it was put together in five days, only 25% of the groups asked to be in the parade were able to participate. If the parade committee asked 128 groups to participate, how many were able to be in the parade?
A. 27
B. 103
C. 11
D. 32
Answers
x ----------- 25%
100x = 3200
x = 3200/100
x = 32%
Answer: D
Sherrod deposits $500 each year in a savings account earning 3% interest compounded annually. He makes no withdrawals. How much interest will the account earn after 3 years?
Answers
The formula for annual compound interest, including principal sum, is:
A = P (1 + r/n) (nt)
Where:
A = the future value of the investment/loan, including interest
P = the principal investment amount (500)
r = the annual interest rate (.03)
n = the number of times that interest is compounded per year (1)
t = the number of years the money is invested (3)
A=5000(1+.03/1)^1(3)
A=546.36
Interest (I) gained is A-P
I=546.36-500
I=46.36