In a simple linear regression based on 30 observations, it is found that SSE- 2,540 and SST- 13,870 a. Calculate and se (Round your answers to 2 decimal places.) 5 b. Calculate the coefficient of determinationR. (Round your answer to 4 decimal places.) Coefficient of Determination

Answer : y=8\(\sqrt{3}\)     ;   x=16

Step-by-step explanation: in a triangle with 30,60,90 gr, there is the property of the smallest cathet A(opposite the angle 30 ) and the other cathet (opposite the angle 60 )A√3 and the hypotenuse is 2A ) then in our case a =8 of which y=a√3=8√3 and x=2a=16

Answer:

Yes

Step-by-step explanation:

Answer:

Sum: 0.78619≈0.786

Step-by-step explanation:

n=4

r=1, 2, 3, 4

r=1,2,3,4

"At least" counts up.

p=32\%=0.32

p=32%=0.32

q=1-0.32=0.68

q=1−0.32=0.68

The chance a success does NOT occur.

_{n}C_{r}p^rq^{n-r}

The probability that at most one of their six children will have that trait is 0.68

From the question, the given parameters are

Number of children, n = 6

Probability of a child with the trait, p = 37%

The required probability that at most one will have that trait is represented as P(x ≤ 1)

This probability is calculated ;

P(x ≤ 1) = P(0) + P(1)

Where

P(x) = ⁿCₓ * pˣ (1 - p)ⁿ⁻ˣ

So, we have

P(x ≤ 1) = ⁷C₀ (37%)⁰  (1 - 37%)⁷⁻⁰ + ⁷C₁  (37%)¹  (1 - 37%)⁷⁻¹

Evaluate;

P(x ≤ 1) = ⁷C₀ * 1 * (63%)⁷ + ⁷C₁ * (37%) * (63%)⁶

So, we have;

P(x ≤ 1) = 1-0.32= 0.68

Hence, the probability is 0.68

Read more about probability at

brainly.com/question/251701

#SPJ2

Answer:

The correct answer is Option D: [-9 -8] [7 3]

Step-by-step explanation:

Given that

D = [18 16][-14 -6]

We have to find -0.5D

In order to find the required values of D we only have to multiply the individual elements with -0.5, this might change the signs of elements and reduce the magnitude.

So,

\(-0.5D = [-0.5*18\ \ -0.5*16][-0.5*-14\ \ \ -0.5*-6]\\-0.5D =[-9\ \ \ -8][7\ \ \ 3]\)

Hence,

The correct answer is Option D: [-9 -8] [7 3]

The dimensions of the rectangle are width = 7/2 meters and length = 4 meters.

Let's assume that the width of the rectangle is x meters. According to the given information, the length of the rectangle is 3 meters less than double the width, which can be expressed as 2x - 3.

The area of a rectangle is given by the formula: Area = Length × Width. In this case, the area is given as 14 m². Therefore, we can write the equation:

(x)(2x - 3) = 14

Expanding the equation:

2x² - 3x = 14

Rearranging the equation to standard form:

2x² - 3x - 14 = 0

To solve this quadratic equation, we can factor it or use the quadratic formula. In this case, let's use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

In our equation, a = 2, b = -3, and c = -14. Plugging in these values into the quadratic formula:

x = (-(-3) ± √((-3)² - 4(2)(-14))) / (2(2))

x = (3 ± √(9 + 112)) / 4

x = (3 ± √121) / 4

x = (3 ± 11) / 4

Simplifying further:

x = (3 + 11) / 4 or x = (3 - 11) / 4

x = 14 / 4 or x = -8 / 4

x = 7/2 or x = -2

Since the width cannot be negative, we discard the negative solution. Therefore, the width of the rectangle is 7/2 meters.

Now, we can substitute the value of x into the expression for the length:

Length = 2x - 3

Length = 2(7/2) - 3

Length = 7 - 3

Length = 4 meters

Thus, the dimensions of the rectangle are width = 7/2 meters and length = 4 meters.

for more such question on rectangle visit

https://brainly.com/question/25292087

#SPJ8

a. Sample space (S): {1, 2, 3, 3, 4, 4}, Probability of each sample point: P(1) = P(2) = P(3) = P(4) = 1/6, Probability of events A and B are 1/6 & 1/2. b.  events A and B are not independent. c. events A and B are not mutually exclusive. d. events A and C are not independent. e. events A and C are mutually exclusive.

a. To solve this problem, let's start by writing down the sample space, which consists of all possible outcomes when tossing the die:

Sample space (S): {1, 2, 3, 3, 4, 4}

Next, we calculate the probability of each sample point. Since the die is balanced, each outcome is equally likely. There are six possible outcomes, so the probability of each sample point is 1/6.

Probability of each sample point: P(1) = P(2) = P(3) = P(4) = 1/6

Now, let's determine the probabilities of events A, B, and C:

Event A: Observe 1

Event B: Observe an odd number

Event C: Observe an even number

To calculate the probability of an event, we sum the probabilities of the sample points that satisfy the event.

Probability of event A (P(A)): P(1) = 1/6

Probability of event B (P(B)): P(1) + P(3) + P(3) = 1/6 + 1/6 + 1/6 = 1/2

Probability of event C (P(C)): P(2) + P(4) + P(4) = 1/6 + 1/6 + 1/6 = 1/2

b. Now, let's determine whether events A and B are independent.

Two events A and B are independent if and only if the probability of their intersection is equal to the product of their individual probabilities.

P(A ∩ B) = P(A) * P(B)

The probability of event A and B both occurring is the probability of observing 1, which is 1/6. However, the product of their individual probabilities is (1/6) * (1/2) = 1/12.

Since P(A ∩ B) ≠ P(A) * P(B), events A and B are not independent.

c. Next, let's determine whether events A and B are mutually exclusive.

Two events A and B are mutually exclusive if and only if their intersection is an empty set.

A = {1}

B = {1, 3, 3}

A ∩ B = {1}

Since A ∩ B is not an empty set, events A and B are not mutually exclusive.

d. Now, let's determine whether events A and C are independent.

Two events A and C are independent if and only if the probability of their intersection is equal to the product of their individual probabilities.

P(A ∩ C) = P(A) * P(C)

The probability of event A and C both occurring is the probability of observing 1, which is 1/6. However, the product of their individual probabilities is (1/6) * (1/2) = 1/12.

Since P(A ∩ C) ≠ P(A) * P(C), events A and C are not independent.

e. Finally, let's determine whether events A and C are mutually exclusive.

Two events A and C are mutually exclusive if and only if their intersection is an empty set.

A = {1}

C = {2, 4, 4}

A ∩ C = ∅

Since A ∩ C is an empty set, events A and C are mutually exclusive.

Learn more about probability here:

brainly.com/question/31828911

#SPJ11

Answer:

The price of the television decreased by 8%.

Step-by-step explanation:

To find the percentage decrease in the price of the television, we can use the following formula:

Percentage decrease = (original price - new price) / original price x 100%

Substituting the given values, we get:

Percentage decrease = (1050 - 966) / 1050 x 100%

= 84 / 1050 x 100%

= 0.08 x 100%

= 8%

Therefore, the price of the television decreased by 8%.

Answer:

Hundreth because it rounds if you were to round it the nearest hundreth

then it will give you the exact answer \

Step-by-step explanation:

The correct answer is answer choice- A.

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

See the attached worksheet. The use of a filled or unfilled circle on a number indicates whether that actual number is included (solid circle) or not included (empty circle)  A solid bar between two points telss us these points are all included.  

 -3<x<3 does not have an equality ("=") for ether +3 nor -3.  The the line between those points would be solid (all points are allowed).  Either 3 would be an empty circle.  

Option A seems to have these features.

Ok, so

Remember that if we got the slope of the line and a point of it, we could use the following formula:

Where (x1,y1) is a point and m is the slope.

If we replace our values:

Therefore, the equation of this line will be:

y=3/4x+8

Answer:

1. it's answer will be 30

Step-by-step explanation:

1.. goes east 18and goes North 24 now it can be right angled traingle with hypotenus then we can calculate the hypotenus of right angled traingle hp^2 =24^2+18^2

hp^2=576+324

hp^2=900

HP=√900

HP =30m

I hope ur help and I can't understand what he want to ask in 2nd

The total number of games won by Jamie is not 11 according to the conditions given in the question.

What is an equation?

The equation is illustrated as a mathematical statement having an equal symbol in between two expressions, '='. It depicts that both sides of the equal sign are equal to each other.

Calculation of the number of games played by Jamie

Let us assume that x and y be the number of games that Jamie and Imani have won

According to the question, Imani has won 5 fewer games than Jamie i.e.

y = x - 5    —-- 1

The total number of games won by Jamie and Imani together is 30

x + y = 30

Using equation 1, put the value of y,

x + x - 5 = 30

2x - 5= 30

Now, substitute x by 11, and we get that the equality does not net

Thus, we can conclude that 11 is not the number of games won by Jamie

Hence, the total number of games won by Jamie is not 11 using the given equations.

To learn more about the equations, visit here:

https://brainly.com/question/13763238

#SPJ4

The correct option is B) 5 minutes.

The width of each class /(class width) is 5 minutes.

The term "class interval" refers to the numerical width of a class in such a frequency distribution.

Some key features regarding the class width/class interval are-

To know more about the class width/class interval, here

https://brainly.com/question/8585738

#SPJ4

The complete question is -

The following are the duration in minutes of a sample of long-distance phone calls made within the continental United States reported by one long-distance carrier.

RelativeTime (in Minutes)/

Frequency

0 but less than 5/0.37

5 but less than 10/0.22

10 but less than 15/0.15

15 but less than 20/0.10

20 but less than 25/0.07

25 but less than 30/0.07

30 or more/0.02

What is the width of each class?

A) 1 minute

B) 5 minutes

c) 2%

d) 100%

Triangles are similar and only differ in size meaning they are dilated

So first we have to find the scale factor of dilation (by how much the smaller triangle got bigger)

Find scale factor:

2.4a=4.8

z=2

Find x:

we multiply the original side of the small side with the scale factor of 2

2.8(2)=x

5.6=x

So, x=5.6

In Mathematics, it is possible to describe a graph as a pictographic depiction of a chart that helps to shape represents data or values, and in this question, the missing graph is defined in the attachment, and the solution can be defined as follows:

                         \(A(2, 4)\to A'(4, 2)\\\\B(4, 4)\to B'(4, 4)\\\\C(3, 2) \to C'(2, 3) \\\\D(1, 2)\to D'(2, 1)\)

                 \(A'(4, 2)\to A''(3, 0) \\\\B'(4, 4)\to B''(3, 2) \\\\C'(2, 3)\to C''(1, 1)\\\\D'(2, 1)\to D''(1, -1) \\\\\)

Therefore the final answer is "A''(3, 0); B''(3, 2); C''(1, 1); D''(1, -1)"

Learn more:

brainly.com/question/1574260

Answer:

12+8.3(g)=p

Step-by-step explanation:

#of gal of water x 8.3 per gal. number of gallons of water is not given so it is represented by g

+ weight of pail which is given, 12

= p , weight of full pail

Answer:

x = 0, y = 4

Step-by-step explanation:

1 pen = x dollars

4 pen = 4x

1 ruler = y dollars

5 rulers = 5y

now,

a) = 5y + 4x = 20

2x + 4y = 16

Now,

2x + 4y = 16

or, 2x = 16 - 4y

or, x = (16 - 4y)/2

Now,

5y + 4x = 20

or, 5y + 4{(16 - 4y)/2} = 20

or, (10y + 64 - 16y) = 40

or, 64 - 6y = 40

or, 64 - 40 = 6y

or, 6y = 24

so, y = 4

now,

x = (16 - 4(4))/2

or, x =(16 - 16)/2

so, x = 0

To predict the cost of driving 1800 miles per month, substitute 1800 in the given function C(d) = 0.2d + 280C(1800) = 0.2 (1800) + 280= $640 per month. Therefore, the cost of driving 1800 miles per month is $640.

(b) Graph is shown below:(c)The slope of the graph represents the rate of change of the cost of driving a car per mile. The slope is given by 0.2, which means that for every mile Lynn drives, the cost increases by $0.2.The y-intercept of the graph represents the fixed cost (amount she pays even if she does not drive).

The y-intercept is given by 280, which means that even if Lynn does not drive the car, she has to pay $280 per month.The linear function gives a suitable model in this situation because the monthly cost increases as the number of miles driven increases.

This is shown by the positive slope of the graph. The fixed cost is also included in the function, which is represented by the y-intercept. Therefore, a linear function is a suitable model in this situation.

To know more about function visit:
https://brainly.com/question/31062578

#SPJ11s.

The width of the new rectangular field would be 0 meters, which means it would essentially be a line segment.

To find the length and width of another rectangular field that has the same perimeter but a larger area, we can use the following steps:

1. Calculate the perimeter of the given rectangular field:

  Perimeter = 2 * (Length + Width)

            = 2 * (120 meters + 80 meters)

            = 2 * 200 meters

            = 400 meters

2. Divide the perimeter by 2 to find the equal sides of the new rectangular field. Since the perimeter is divided equally into two sides, each side would be half of the perimeter length:

  Side length = Perimeter / 2

             = 400 meters / 2

             = 200 meters

3. Now, we have the side length of the new rectangular field. However, we need to determine the length and width that would yield a larger area. One way to achieve this is to make one side longer and the other side shorter.

4. Let's assume the length of the new rectangular field is 200 meters. Since both sides have the same length, the width can be calculated using the formula for the perimeter:

  Width = Perimeter / 2 - Length

        = 400 meters / 2 - 200 meters

        = 200 meters - 200 meters

        = 0 meters

5. Therefore, the width of the new rectangular field would be 0 meters, which means it would essentially be a line segment. However, note that the question asks for a rectangular field with a larger area. Since the width cannot be zero, we can conclude that it is not possible to have a rectangular field with the same perimeter but a larger area than the given field.

In summary, it is not possible to find another rectangular field with the same perimeter but a larger area than the rectangular field with dimensions 80 meters wide and 120 meters long.

for more such question on rectangular visit

https://brainly.com/question/2607596

#SPJ8

Answer:2.8

Step-by-step explanation:

2.8

To write 81^(3/4) with the appropriate root using the definition of rational exponents, we can express the exponent 3/4 as a fractional exponent with a denominator that represents the root. In this case, the denominator is 4, which indicates the fourth root.

Using the definition of rational exponents, we can rewrite 81^(3/4) as the fourth root of 81 raised to the power of 3:

81^(3/4) = (fourth root of 81)^3

Now, we can simplify this expression. The fourth root of 81 is 3 because 3^4 = 81. Therefore, we have:

81^(3/4) = (fourth root of 81)^3 = 3^3 = 27

Hence, after simplifying, we find that 81^(3/4) is equal to 27.

To learn more about root click here: brainly.com/question/16932620

#SPJ11

Answer: B. X = \(4\sqrt{6}\)

Step-by-step explanation:

sec(45) = hyp/12

12sec(45) = hyp

hyp = 16.9

cot(60) = x/16.9

16.9cot(60) = x

x = 9.7

B. X = \(4\sqrt{6}\)

The graph of the linear function, considering the points in the domain, is given at the end of the answer.

The linear function is defined by:

y = -2x - 5.

Considering the domain, the points are given as follows:

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Answer:

your answers will be

A》3

B》-4

Step-by-step explanation:

hope it helps you

have a great day!!!

Answer: Hello how are you doing today?

Step-by-step explanation: How may I help you?

Answer:

\(=15\cdot \frac{\sqrt{3}}{2}\)

Step-by-step explanation:

The least amount of ratings the particular company can receive is 3 on the seventh survey and still be eligible to have an average of at least 8 for the first 10 surveys.

Here we have to implement basic algebraic application
Let us consider x as the  the least rating the company can get on the seventh survey.
The average of the first six surveys is 7.7, so their total score is 6 × 7.7 = 46.2.

The average of at least 8 for the first ten surveys, their total score should be at least 80.
So for the first ten surveys, their total score should be
80 = (46.2 + x + y)/10
Here
y = score for survey 8 and survey 9.

Evaluating for y
y = (80 - 46.2 - x × 2)/2
= (33.8 - x)/2.

As  each survey rating is an integer between 0 and 10 inclusive, we need to find the smallest integer value of x that makes y ≥ 0

Then, (33.8 - x)/2 >= 0.
Multiplying both sides by 2
33.8 - x >= 0
Subtracting 33.8 from both sides
-x >= -33.8
Multiplying both sides by -1
x <= 33.8
Hence, the smallest integer value of x that makes y ≥0 is x = 3.

To learn more about algebraic
https://brainly.com/question/4344214
#SPJ4

Answer:

3.6 meters

Step-by-step explanation:

18/10 x 2 = 3.6

so, 18 centimeters represents 3.6 meters

Answer:

B. 0.03110

Step-by-step explanation:

Given

Probability of Hit = 60%

Required

Determine the probability that he misses at 6th throw

Represent Probability of Hit with P

\(P = 60\%\)

Convert to decimal

\(P = 0,6\)

Next; Determine the Probability of Miss (q)

Opposite probabilities add up to 1;

So,

\(p + q = 1\)

\(q = 1 - p\)

Substitute 0.6 for p

\(q = 1 - 0.6\)

\(q = 0.4\)

Next,is to determine the required probability;

Since, he's expected to miss the 6th throw, the probability is:

\(Probability = p^5 * q\)

\(Probability = 0.6^5 * 0.4\)

\(Probability = 0.031104\)

Hence;

Option B answers the question

Answer:

b) 0.03110

Step-by-step explanation:

Got it right on the test.