Find the distance between the points (6.6, 7.9) and (6.6, 4.7).

The adjustment factor (T) which adjusts the exponential smoothing forecast , does this adjustment for a. Trend.

A big part of the Adjusted exponential smoothing forecasting method is the use of an adjustment factor which has the purpose of adjusting the smoothing forecast for a trend.

If this trend is found, then there is a need to smoothen it out of the data so that the model is more trustworthy. It is important that this trend is removed to ensure that the forecast does not have a time bias.

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Answer:

24

Step-by-step explanation:

Answer:

1. (I need the picture for this one)

2. m=2/3 / Slope = 2/3

Step-by-step explanation:

Answer:

Distance traveled after 20 rotations = 1306.24 inches

Step-by-step explanation:

r = 10.4 inches

Distance traveled in one rotation = Circumference of the car tire

Circumference of the car tire = 2πr

                                                 = 2 * 3.14 * 10.4

                                                = 65.312 inches

Distance traveled after 20 rotations = 65.312 * 20

                                                            = 1306.24 inches

Answer: -4 pounds

Step-by-step explanation:

       The hibernating animal lost 4 pounds. This means we are 4 below wherever the animal's weight was in the beginning. This can be represented with a negative number;

          -4 pounds

Answer:

256.25

Step-by-step explanation:

$10.25 not taxed x 25

Answer: D

Step-by-step explanation:

Answer:

3:25

Step-by-step explanation:

The photo shows how it's solved.

Answer: 3:25

Step-by-step explanation:

Step 1) Convert the decimal number to a fraction by making 0.12 the numerator and 1 the denominator

0.12 = 0.12/1

Step 2) Multiply the numerator and denominator by 100 to eliminate the decimal point.
0.12 x 100

------------ = 12/100
1 x 100

Step 3) Simplify the fraction in the previous step by dividing the numerator and the denominator by the greatest common factor (GCF) of 12 and 100. (The GCF of 12 and 100 is 4.)

12 ÷ 4

---------  = 3/25  

100 ÷ 4

Step 4) Convert the fraction in the previous step to a ratio by replacing the divider line with a colon like this:  

3  

25   =  3:25

The value of c in the polynomial is - 7.

The polynomial is given as follows:

p(x) = 2x³ - x² +  cx + 2 . The value of c if x - 2 is a factor of p(x) can be computed as follows:

Therefore,

p(x) = 2x³ - x² +  cx + 2

when x - 2 is a factor, p(x) = 0

Therefore,

0 = 2x³ - x² +  cx + 2

Hence,

2(2)³ - (2)² +  2c + 2 = 0

16 - 4 + 2c + 2 = 0

12 + 2 + 2c  = 0

2c = - 14

divide both sides by 2

c = - 14 / 2

c = - 7

Therefore,

c = -7

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Answer: I’m pretty sure it’s y=2^x-3

Step-by-step explanation:

I think that if y=2^x and you want to move it downward you would just simply subtract 3

Answer:

x=13

y=14

Step-by-step explanation:

We know that angle JNK is equal to angle MNL. We also know that angle JNK and angle KNL are supplementary.

Knowing this, we can write two equations: \(4x-1=3y+9\) and \((4x-1)+(2x+6y+19)=180\). We can solve for y in the first equation. Subtracting 9 from both sides gives us \(4x-10=3y\). Dividing both sides by 3 gives us \(\frac{4x-10}{3} =y\).

We can plug that in to the second equation to get \((4x-1)+(2x+6(\frac{4x-10}{3} )+19)=180\). Expanding the second parenthesis, we get \(2x+8x-20+19\) which equals \((10x-1)\). We now have \((4x-1)+(10x-1)=180\). Expanding gives us \(14x-2=180\). Adding 2 to both sides gives us \(14x = 182\). Dividing both sides by 14 gives us \(x=13\).

We can now plug 13 into the above equation to solve for y. \(y= \frac{4*13-10}{3}\) Solving that gives you \(y=14\).

Answer:

Option B

Step-by-step explanation:

Answer:

The answer is B

What is the real- world meaning of the first equation?

The first equation is: 2x+3y=13.50

\(\rule{300pt}{1pt}\)

Solve this system of equations using the substitution method.

\( 2x + 3y = 13.50 \\ 3x + 2y = 16.50\)

\(2x + 3y = 13.50 \\ x = 5.5 - \frac{2}{3} y\)

\(2(5.5 - \frac{2}{3} y) + 3y = 13.50\)

\(y = 1.5\)

\(x = 5.5 - \frac{2}{3} \times 1.5\)

\(x = 4.5\)

\((x,y)=(4.5,1.5)\)

\(\rule{300pt}{1pt}\)

What are the prices of adult and student tickets?

The requried amount of fencing needed t cover the pond in this backyard is 319.36 meters.

A figure of Robert's backyard has been shown, we have to determine the perimeter of his backyard,

The perimeter of backyard = 2L + 2[πw/2]
The perimeter of backyard = 2*78 + 2[π*52/2]
The perimeter of the backyard = 319.36 meters

Thus, the requried amount of fencing needed t cover the pond in this backyard is 319.36 meters.

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Answer:

64 cookies are left to bake

Step-by-step explanation:

a-1. The manager's return in the month, based on the performance table information, is 1.38%.

a-2.  The manager's underperformance is 0.51% (1.89 - 1.38).

A manager's underperformance occurs when the manager delivers results below expectation.

For instance, the weighted benchmark return was expected to be 1.89%, but the manager achieved an actual weighted return of 1.38%.

                     (1) Actual    (2) Actual   (3) Benchmark   (4) Index

                         Return        Weight           Weight     Return

Equity                  2.2%         0.4                  0.5                 2.7% (S&P 500)

Bonds                  1.1             0.2                  0.2                  1.5 (Barclays Aggregate Bond index)

Cash                    0.7          0.4                   0.3                  0.8

                     (1) Actual    (2) Actual   Weighted

                         Return     Weight       Returns

Equity                  2.2%         0.4            0.88%

Bonds                  1.1             0.2            0.22

Cash                    0.7          0.4              0.28

Weighted Returns =                             1.38%

                      Benchmark   (4) Index                   Weighted

                            Weight        Return                   Benchmark

Equity                  0.5                 2.7% (S&P 500)    1.35% (0.5 x 2.7)

Bonds                  0.2                  1.5 (Barclays       0.30 (0.2 x 1.5)

Aggregate Bond index)

Cash                    0.3                  0.8                      0.24 (0.3 x 0.8)

Weighted Benchmark Return =                            1.89%

Thus, there was a comparative underperformance of 0.51%.

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Answer:

Step-by-step explanation:

Let's assume Kylie's current age to be x.

According to the problem, Laila is 10 years older than Kylie, so her current age would be (x + 10).

Seventeen years ago, Laila's age would have been (x + 10 - 17) = (x - 7), and Kylie's age would have been (x - 17).

The problem also states that Laila's age 17 years ago was triple Kylie's age 17 years ago, so we can set up the equation:

(x - 7) = 3(x - 17)

Solving for x, we get:

x - 7 = 3x - 51

2x = 44

x = 22

Therefore, Kylie's current age is x = 22, and Laila's current age is (x + 10) = 32.

So, Laila is currently 32 years old and Kylie is currently 22 years old.

Answer:

Laila is currently 32 years old.

Kylie is currently 22 years old.

Step-by-step explanation:

To find the current ages of Laila and Kylie, create and solve a system of linear equations using the given information.

Define the variables:

Given Laila is 10 years older than Kylie:

Given 17 years ago, Laila was triple Kylie's age:

Substitute the first equation into the second equation and solve for K:

⇒ (K + 10) - 17 = 3(K - 17)

⇒ K - 7 = 3K - 51

⇒ K - 7 - K = 3K - 51 - K

⇒ -7 = 2K - 51

⇒ -7 + 51 = 2K - 51 + 51

⇒ 44 = 2K

⇒ 44 ÷ 2 = 2K ÷ 2

⇒ K = 22

Substitute the found value of K into the first equation and solve for L:

⇒ L = K + 10

⇒ L = 22 + 10

⇒ L = 32

Therefore, Laila is currently 32 years old and Kylie is currently 22 years old.

Answer:

Each friend gets 3 cards

Step-by-step explanation:

Divide 15 by 5 since he is splitting 15 cards with 5 friends.

:D

The Variables (a) Gender is Categorical , (b) Alcohol can be either Categorical or Quantitative and (c) Height is Quantitative .

We can identify the type of each variable as categorical or quantitative.

(a) Gender: This variable is categorical, as it describes a characteristic that can only take on a limited number of values (e.g., male or female).

(b) Alcohol: Without additional information , it is not clear whether this variable is categorical or quantitative.

If the data set only includes information about whether an individual drinks alcohol or not, then this variable is categorical. If the data set includes information about how much alcohol an individual consumes, then this variable would be quantitative.

(c) Height: This variable is quantitative, as it represents a numerical measurement of a continuous variable.

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The given question is incomplete , the complete question is

Identify and classify the variable(s) you will use. here is the list of variables in the data set.  

(i) identify the variable as either categorical or quantitative.

the variables are (a) Gender , (b) Alcohol , (c) Height .

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The statement about the unit prices which is true is Kitty Kibbles has a lower unit price of $1.30/pound.

The correct answer choice is option D.

Cost of 16-pound bag of Kitty Kibbles = $20.80

Unit price of kitty kibbles = Price / number of pounds

= $20.80 / 16

= $1.30 per pound.

Cost of 8-pound bag of Feline flavor = $11.20

Unit price of feline flavor = Price / number of pounds

= $11.20 / 8

= $1.40 per pound

Ultimately, the unit price of kitty kibbles and feline flavor is $1.30 and $1.40 respectively.

Complete question:

A 16-pound bag of Kitty Kibbles is $20.80. An 8-pound bag of Feline Flavor is $11.20. Which statement about the unit prices is true?

A. Feline Flavor has a lower unit price of $1.40/pound.

B. Feline Flavor has a lower unit price of $1.30/pound.

C. Kitty Kibbles has a lower unit price of $1.40/pound.

D. Kitty Kibbles has a lower unit price of $1.30/pound.

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The number of ways you can make 80 cents if you have at most 4 dimes would be = 8 ways.

The total amount of money available in dimes = 40 dimes

The total amount of money to be acquired in cents = 80 cents.

But ;

4 dimes = 40 cents

X dimes = 80 cents

Make X the subject of formula;

X cents = 4×80/40

= 320/40

= 8 ways

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The correlation coefficient between X and Y is Corr(X, Y) = 0.

To calculate the marginal distribution of X and Y, we need to integrate the joint probability density function (PDF) over the appropriate ranges.

a. Marginal distribution of X:

To find the marginal distribution of X, we integrate the joint PDF over the range of Y:

∫[0, 1] J(x, y) dy

Since the joint PDF is defined as J(x, y) = 1 for 0 ≤ y ≤ x ≤ 1 and J(x, y) = 0 otherwise, the integral becomes:

∫[0, x] 1 dy = x, for 0 ≤ x ≤ 1

So, the marginal distribution of X is simply X(x) = x for 0 ≤ x ≤ 1.

b. Expectation of X:

The expectation (mean) of X can be calculated as the integral of x times the marginal PDF of X:

\(E(X) = ∫[0, 1] x * X(x) dx = ∫[0, 1] x^2 dx = [x^3/3] from 0 to 1 = 1/3\)

Therefore, the expectation of X is E(X) = 1/3.

c. Variance of X:

The variance of X can be calculated using the formula:

\(Var(X) = E(X^2) - (E(X))^2E(X^2) = ∫[0, 1] x^2 * X(x) dx = ∫[0, 1] x^3 dx = [x^4/4] from 0 to 1 = 1/4Var(X) = 1/4 - (1/3)^2 = 1/4 - 1/9 = 5/36\)

Therefore, the variance of X is Var(X) = 5/36.

d. Covariance of X and Y:

The covariance of X and Y can be calculated as:

Cov(X, Y) = E(XY) - E(X)E(Y)

Since the joint PDF J(x, y) = 1 for 0 ≤ y ≤ x ≤ 1, the integral becomes:

\(E(XY) = ∫[0, 1] ∫[0, x] xy dy dx = ∫[0, 1] [(x^2)/2] dx = [(x^3)/6] from 0 to 1 = 1/6\)

\(E(X) = 1/3 (from part b)E(Y) = ∫[0, 1] ∫[0, x] y J(x, y) dy dx = ∫[0, 1] [(x^2)/2] dx = [(x^3)/6] from 0 to 1 = 1/6\)

Cov(X, Y) = 1/6 - (1/3)(1/6) = 0

Therefore, the covariance of X and Y is Cov(X, Y) = 0.

e. Correlation coefficient between X and Y:

The correlation coefficient can be calculated using the formula:

Corr(X, Y) = Cov(X, Y) / √(Var(X) * Var(Y))

Since the covariance of X and Y is 0, the correlation coefficient will also be 0.

Therefore, the correlation coefficient between X and Y is Corr(X, Y) = 0.

f. Conclusion based on the correlation coefficient:

The correlation coefficient of 0 indicates that there is no linear relationship between X and Y. In this case, the fraction of male runners (X) and the

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Answer:

Sabrina is at a higher elevation.

Step-by-step explanation:

She has dropped less than Ben, so she is higher up.

The number of significant digits that the product have is 3.

Significant figures are the number of digits that add to the correctness of a value, frequently a measurement. The first non-zero digit is where we start counting significant figures.

Rules for determining Significant Numbers,

Given Numbers are  \(5.2187 * 10^{-3}, 2.05 *10^{7} and 3.40 * 10^{3}\)

Now, Multiplying the given numbers,

\(5.2187 * 10^{-3}* 2.05 *10^{7} * 3.40 * 10^{3} =3.64 *10^{8}\)

So, In 3.64 *10^8, The number of significant digits is 3.

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Answer:

answer is 3

Step-by-step explanation:

Answer:

The equation of the line with a y-intercept of 4 and a point (8,8) is \(y=\frac{1}{2} *x+4\)

Step-by-step explanation:

A linear equation can be expressed in the form

y = m * x + b

where x and y are coordinates of a point, m is the slope and b is the y-intercept. Since this equation describes a line in terms of its slope and its y-intercept, this equation is said to be in its slope-intercept form.

Graphically this equation represents a line.

In this case, you know:

Replacing:

8=m*8 +4

Solving:

8-4=m*8

4=m*8

4÷8= m

\(m=\frac{1}{2}\)

Then, the equation of the line with a y-intercept of 4 and a point (8,8) is \(y=\frac{1}{2} *x+4\)