3) Given the data х | 12 10 5 5 27 32 56 71 72 100
y | 56 47 58 42 36 25 17 30 10 5 Use least-squares regression to fit :
a) a straight line, b) a power equation, c) a saturation-growth-rate equation, d) a parabola. Compute the standard error of the estimate and the coefficient of determination. Write your comments on the suitability of the model. Find out which method works best. Plot the data along with all the curves.

Answer:

I would say that the last one is False and A and C are true.

Hope this works.

Answer:

D

Step-by-step explanation:

HAHAHA

Answer:

E) 22

Step-by-step explanation:

\( l || m\: \&\:line\: j\: is \: their \: transversal \)..... (given)

\(\therefore(5x - 16)\degree = (2x)\degree + 50\degree \)

(Corresponding angles)

\(\therefore(5x - 16)\degree = (2x+50)\degree \)

\(\therefore 5x - 16 = 2x+50 \)

\(\therefore 5x - 2x = 16+50 \)

\(\therefore 3x = 66 \)

\(\therefore x =\frac {66}{3} \)

\(\therefore x =22 \)

Answer:

5 movies

Step-by-step explanation:

90-30=60

60/12=5

Answer:

90 minus 12x is greater than or equal to 30

then solve and get x equals 5

Answer:

y = -x

Step-by-step explanation:

Answers 1 and 4 have an offset (+2 and -1) that interferes.  x = 2 is not a proportion.  It is simply a statement that x = 2.  It is not allowed in the high stakes room.

Answer:

1/3

Step-by-step explanation:

13/39 = 1/3

Answer:

It is 1/3

Step-by-step explanation:

because 13/39=1/3

The angle of elevation from Kim to the fireworks is approximately 5.71 degrees.

To find the angle of elevation from Kim to the fireworks, we can use trigonometry. Let's consider a right triangle formed by Kim, the fireworks, and the ground.

In the triangle, the horizontal distance between Kim and the fireworks is 5 miles, and the vertical distance (height) from the ground to the fireworks is 0.5 miles. We can use the tangent function to find the angle of elevation.

The tangent of an angle is defined as the ratio of the opposite side to the adjacent side. In this case, the opposite side is the height (0.5 miles) and the adjacent side is the horizontal distance (5 miles). So, we have:

tan(angle) = opposite/adjacent

tan(angle) = 0.5/5

To find the angle, we can take the inverse tangent (arctan) of both sides:

angle = arctan(0.5/5)

Using a calculator or trigonometric tables, we find:

angle ≈ 5.710593137 degrees

Therefore, the angle of elevation from Kim to the fireworks is approximately 5.71 degrees.

For such more questions on Elevation Angle

https://brainly.com/question/27243378

#SPJ11

The probability that either of spin two wheel lands on an even value is 1.

Define the term probability?

Probability is a way to gauge how likely something is to happen. Even though no event can be predicted with absolute certainty, probability can be used to express how likely it is that it will happen.

For the stated question-

Total number marked on the wheel (1 to 8) = 8 numbers.

Total even number (2,4,6,8) = 4numbers

Probability of getting an even number on one wheel = 4/8 = 1/2.

Let the probability of getting an even number on one wheel P(A).

Then, the Probability of getting an even number on the second wheel P(B).

Then,

Only only wheel have the even number,

P(A∩B) = 0.

Thus,

Probability that either wheel lands on an even value;

P(A∪B) = P(A) + P(B) - P(A∩B)

P(A∪B) = 1/2 + 1/2 - 0

P(A∪B) = 1

Thus, probability that either wheel lands on an even value is 1.

To know more about the probability, here

brainly.com/question/13604758

#SPJ4

The margin of error will be Z * sqrt((p * (1 - p)) / n) and confidence Interval = p ± (Margin of Error).

a. The margin of error at a 95% confidence level can be calculated using the formula:

Margin of Error = Z * sqrt((p * (1 - p)) / n)

where Z is the z-score corresponding to the desired confidence level, p is the proportion from the survey (47%), and n is the sample size (1,026). By substituting these values into the formula, we can calculate the margin of error.

b. To construct the 95% confidence interval for the population proportion, we use the formula:

Confidence Interval = p ± (Margin of Error)

where p is the proportion from the survey and the Margin of Error is calculated in part a. By substituting the values into the formula, we can determine the lower and upper bounds of the confidence interval.

To learn more about tax refund click here: brainly.com/question/8646298

#SPJ11

-5a²+13ab should be subtracted.

Based on the given conditions, formulate,

\(→- {a}^{2} - 4 {a}^{2} + 13ab\)

\(→-({a}^{2} - 4 {a}^{2}) + 13ab\)

Taking the coefficients or numbers, we get,

\(→(- 1 - 4) {a}^{2} + 13ab\)

\(→ - 5 {a}^{2} + 13ab\)

Given :

What should be subtracted from a² – 7ab + 3b² to get – 4a² + 6ab + 3b² ?

Solution :

Let the required expression to be subtracted be x

⇢ a² – 7ab + 3b² – x = – 4a² + 6ab + 3b²

⇢ a² – 7ab + 3b² – (– 4a² + 6ab + 3b²) = x

⇢ a² – 7ab + 3b² + 4a² – 6ab – 3b² = x

Combining the like terms :

⇢ a² + 4a² – 7ab – 6ab + 3b² – 3b² = x

⇢ 5a² – 13ab = x

⇢ x = 5a² – 13ab

Therefore,

5a² – 13ab should be subtracted from a² – 7ab + 3b² to get – 4a² + 6ab + 3b².

Answer:

what?

Step-by-step explanation:

..................................................

Answer:

c

Step-by-step explanation:

Its 10th floor goes down 6 floors which is on the 4th floor and goes up 4 floors and now its on the the 8th floor

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The elevator is on the 8th floor.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example:

2 + 3x + 4y = 7 is an expression.

4 - 3 = 1 is an expression

3 - 6 = -3 is an expression

We have,

An elevator is on the 10th floor.

It goes down 6 floors.

This can be written as an expression:

10 - 6 = 4

The elevator is on the 4th floor.

The elevator then goes up 4 floors.

This can be written as an expression:

4 + 4 = 8

The elevator is on the 8th floor.

Thus,

The elevator is on the 8th floor.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer:

Shortest = 7, Middle = 24, Longest = 25.

Step-by-step explanation:

7^2 + 24^2 = 25^2

49 + 576 = 625

625 = 625

Answer:

let the 2 unknown numbers be 'x' and 'y'

given: x+y=15 - equation 1

5x-3y=19 - equation 2

from equation 1 :

x = 15 -y

substitute this in equation 2

5(15-y) -3y = 19

75 - 5y - 3y = 19

75-8y=19

8y=56

y=7(substitute value of y in equation 1)

x+7=15

x=8

hence the two numbers are 8 and 7

Answer:

x = 8

y = 7

Step-by-step explanation:

let's assume the first number as x, and the second number as y

Now, according to the question,

x + y = 15

Moving on to the next statement,

five times the first number = 5x

three times the second number = 3y

Thus,

5x  - 3y = 19

Now that we have two equations, we can either write 'x' in 'y' terms, or y in 'x' terms.

For example, from the first equation:

x + y = 15

y = 15 - x

Now, let's put this value of y into the second equation, i.e.

5x - 3(15 - x) = 19

5x - 45 +3x = 19

8x = 19 + 45

x = 64/8

x = 8

Now, let's put this value of x into the first equation, i.e.

x + y = 15

8 + y = 15

y = 7

In conclusion, the two numbers, x and y, are 8 and 7 respectively

Answer:

it's 5

Step-by-step explanation:

Answer:

r = 5

Step-by-step explanation:

if x and y are proportional then 'y = rx' where 'r' is the constant of proportionality

35 = 7r

60 = 15r

100 = 20r

'r' is 5

Based on the given clues, we can determine the person, drink, and price paid for each individual:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

From clue 1, we know that either Calvin or the person who got the Root Beer paid $4.99. Since Calvin paid more than Lee according to clue 4, Calvin cannot be the one who got the Root Beer. Therefore, Calvin paid $4.99.

From clue 2, Kelli paid $6.99.

From clue 3, the person who got the water paid $1 less than Dean. Since Dean paid the highest price, the person who got the water paid $1 less, which means Lee paid $5.99.

From clue 5, the person who got the Root Beer paid $1 less than the person who got the Iced Tea. Since Calvin got the Root Beer, Lee must have gotten the Iced Tea.

Therefore, the final assignments are:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

Learn more about word problems at https://brainly.com/question/21405634

#SPJ1

Answer:

\(\bold{y=1.5\times 2^x+4}\)

Step-by-step explanation:

Given:

Exponential function with common ratio 2.

Horizontal asymptote at y = 4

Passes through point (2, 10)

To find:

Equation of the exponential function ?

Solution:

Equation for an exponential function may be given as:

\(y=ab^x+c\)

Where b is the common ratio and

c is the y value of horizontal asymptote.

\((x, y)\) are the points on the function.

We are given that:

b = 2

c = 4

Let us put all the given values and find equation.

\(y=a\times 2^x+4\)

Now, let us put \(x = 2, y = 10\) to find the value of a.

\(10=a\times 2^2+4\\\Rightarrow a\times 2^2=10-4\\\Rightarrow a\times 4=6\\\Rightarrow a =1.5\)

\(\therefore\) the equation of exponential function is:

\(\bold{y=1.5\times 2^x+4}\)

Answer :  8

Explanation : 4 × 2 = 8

◊ YusuCr ◊

Answer:

8

Step-by-step explanation: if your times it by two it would be 4x2 = 8 :)

Therefore, The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming the null hypothesis is true. If the p-value is less than the significance level, reject the null hypothesis; otherwise, fail to reject it.

To find the p-value from the t statistic on TI-84, you will need to perform a hypothesis test. Here are the steps:1. Enter your data into the calculator and choose the appropriate test.2. Calculate the t statistic by dividing the sample mean by the standard error.3. Determine the degrees of freedom. This is n-1 for a one-sample t-test or n1+n2-2 for a two-sample t-test. 4. Use the t-distribution table to find the critical value for your test.5. Calculate the p-value using the t-distribution function on the calculator.6. Compare the p-value to the significance level (usually 0.05) to determine whether to reject or fail to reject the null hypothesis.7.

Therefore, The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming the null hypothesis is true. If the p-value is less than the significance level, reject the null hypothesis; otherwise, fail to reject it.

To know more about probability visit :

https://brainly.com/question/13604758

#SPJ11

Answer:

64

Step-by-step explanation:

Trust me, this is the answer, PLEASE GIVE ME BRAINLIEST

As per the question, All four students A, B, C, and D are loss-averse over money and have the same value function as below:v(x dollars)={√x     x ≥ 0   {-2√-x  x < 0They are also loss averse over mugs and have the same value function.

v(y mugs)={3y y ≥ 0
        {4y y < 0
Now, we have to find the values of a, b, c and d as below:
- Student A owns a mug and is willing to sell it for a price of a dollars or more. i.e v(a) = v(0) + v(a-A), where A is the initial endowment of A. According to the given function, v(0) = 0, v(a-A) = 3, and v(A) = 4.
So, a ≥ A+3/2
- Student B does not own a mug and is willing to pay up to b dollars for buying it. i.e v(B-b) = v(B) - v(0), where B is the initial endowment of B. According to the given function, v(0) = 0, v(B-b) = -4, and v(B) = -3.
So, b ≤ B+1/2
- Student C does not own a mug and is indifferent between getting a mug and getting c dollars. i.e v(c) = v(0) + v(c), where C is the initial endowment of C. According to the given function, v(0) = 0, v(c) = 3.
So, c = C/2
- Student D is indifferent between losing a mug and losing d dollars. i.e v(D-d) = v(D) - v(0), where D is the initial endowment of D. According to the given function, v(0) = 0, v(D-d) = -3.
So, d = D/2
2) In this case, value function for money changes to:v(x dollars)={√x     x ≥ 0
            {-√-x   x < 0
However, the value function for mugs remains the same:v(y mugs)={3y y ≥ 0
         {4y y < 0
Therefore, values for a, b, c, and d will remain the same as calculated in part (1).
3) In this case, students are not loss-averse. Value function for money:v(x dollars)={√x     x ≥ 0
            {-√-x   x < 0
Value function for mugs:v(y mugs)={3y y ≥ 0
The reference point is the status quo, i.e initial endowment. So,
- Student A owns a mug and is willing to sell it for a price of a dollars or more. The value of mug for A is 3 initially and he would sell it for 3 or more.
So, a ≥ A+3/2
- Student B does not own a mug and is willing to pay up to b dollars for buying it. The value of mug for B is 3 initially and he would buy it for 3 or less.
So, b ≤ B+3/2
- Student C does not own a mug and is indifferent between getting a mug and getting c dollars. The value of the mug for C is 3 initially.
So, c = 3
- Student D is indifferent between losing a mug and losing d dollars. The value of the mug for D is 3 initially.
So, d = 3
4) In this case, value function for money:v(x dollars)={√x     x ≥ 0
            {-√-x   x < 0
Value function for mugs: Mug will have a value of 4 for someone who owns it and 3 for someone who does not own it.
The reference point is the status quo, i.e initial endowment. So,
- Student A owns a mug and is willing to sell it for a price of a dollars or more. The value of mug for A is 4 initially and he would sell it for 4 or more.
So, a ≥ A+2
- Student B does not own a mug and is willing to pay up to b dollars for buying it. The value of mug for B is 3 initially and he would buy it for 3 or less.
So, b ≤ B+3/2
- Student C does not own a mug and is indifferent between getting a mug and getting c dollars. The value of the mug for C is 3 initially and he would like to buy it for 3.
So, c = 3
- Student D is indifferent between losing a mug and losing d dollars. The value of the mug for D is 3 initially.
So, d = 3.

To know more about students visit:
https://brainly.com/question/29101948

#SPJ11

Answer:

13/3

Step-by-step explanation:

An angle that is supplementary to a right angle is a right angle, so

Answer:

This is an example of the product of powers property tells us that when you multiply powers with the same base you just have to add the exponents.

Step-by-step explanation:

Answer:

61

Step-by-step explanation:

marque esta respuesta como la más inteligente

 168 divided by 12  is 14.

 14 <-- quotient

 ---

168

  12

  --

   48

   48

   --

      <-- remainder

To learn more about Long Division refer to:

https://brainly.com/question/12085148

#SPJ1

Answer:

4 apples

Step-by-step explanation:

We know

John had 3 apples, then Dropped 2, found 4, then gave 1 to his friend.

How many apples does he have now​?

3 - 2 + 4 - 1 = 4 apples

So, he has 4 apples now.

Answer:

4 apples

Step-by-step explanation:

We know that John had 3 apples

but then he had dropped 2 of them

he then found 4

then he gave 1 to his friend

3-2=1

1+4=5

5-1=4

The answer is 4

Hope this helps!

Answer:

B  isosceles with sides  sqrt (61)

Step-by-step explanation:

Find the two sides' lengths via pythagorean theorem to be

 sqrt ( 5^2 + 6^2) = sqrt (61)