Use the given data to find the equation of the regression line. This involves finding the slope and the intercept. Round the final values to three places, if necessary. (47,8). (46. 10), (27.10) Find

Answer: $70 per year.

Step-by-step explanation:

Let's say that x is the number of years that has passed and y is how much the stamp is worth.

So we know that in zero years the stamp was worth $420 because that is the time Sheri gave her brother Sam the stamp. That could bring up the coordinates  (0,420) .

Now we know that in 8 years it was worth $980 and that could be the coordinates (8,980)

To find the rate of change we need to find the different between the y value and divide it by the difference in the x values.

420 - 980 = -560

 0-8 = -8

-560/-8 = 70

The rate of change is 70 which means that it grew by $70 every year.

Step-by-step explanation:

Answer:

Explanation:

Given:

To find:

the steps in solving the expression and the value(s) of x

To determine the value of x, first, we will add x to both sides:

Next, cube both sides of the equation:

Lastly, solve for x to determine the number of solutions:

The first step in solving the equation is to add x to both sides. The second step is to cube both sides.

Solving this equation for x initially yields 3 possible solutions. Checking the solutions shows

Answer:

25 pounds

Step-by-step explanation:

Sum of the weight of the boxes of the cart = 10n + 25

where n = number of boxes

10 would be the weight of each box.

total weight of the boxes = weight of each box x number of boxes

10 x n = 10n

The other variable is 25. this is the weight of the cart

Answer:

1/7

Step-by-step explanation:

6 + 5 + 4 = 15

There are 15 marbles to start with.

p(event) = (number of desired outcomes)/(total number of outcomes)

First pick (there are 6 desired outcomes out of a total of 15 possible outcomes):

p(r) = 6/15

Now there are 5 red marbles left and a total of 14 marbles left.

Second pick (there are 5 desired outcomes out of a total of 14 possible outcomes):

p(r) = 5/14

These events are independent, so we multiply the two probabilities.

p(r, r) = 6/15 × 5/14

p(r, r) = 3/7 × 1/3

p(r, r) = 1/7

In a quadrilateral ABCD, the measure of the length of the quadrilateral CD will be 25.98 cm.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The length of AD will be

tan θ = AB/AD

AD = 12/ tan 35

AD = 17.14 cm

Then the value of the BD will be given by the Pythagoras.

BD² = AB² + AD²

BD² = 12² + 17.14²

BD² = 144 + 239.78

BD² = 437.78

BD = 20.92 cm

Then operate the sine rule in triangle BCD, we have

\(\dfrac{BD}{\sin C} = \dfrac{CD }{\sin B}\\\\\\\dfrac{20.92}{\sin 52} = \dfrac{CD }{\sin 102}\\\\\\CD = \dfrac{20.92 \times \sin 102}{\sin 52}\)

On further solving, the value of CD will be

CD = 25.98

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Answer:

False, True, Falso True

Step-by-step explanation:

Slope is 3/1 or 3

Line hits (0,-5)

Answer:

see explanation

Step-by-step explanation:

sinX = \(\frac{opposite}{hypotenuse}\) = \(\frac{YZ}{XY}\) = \(\frac{\sqrt{119} }{12}\)

cosX = \(\frac{adjacent}{hypotenuse}\) = \(\frac{XZ}{XY}\) = \(\frac{5}{12}\)

Answer:

9(4a minus 3) is equivalent to 36a minus 27.

Answer: coupond 3 offers the best sale price of $60

Step-by-step explanation:

Step-by-step explanation:

a-2=3+6a/3

By cross multiply

3(a-2)=3+6a

3a-6=3+6a

-6-3=6a-3a

-9=3a

a=-3

10 and 13 are the measure of the values of x and y respectively

The given diagram is a parallelogram with unknown values x an y.

Since the measure of sum of angles in a triangle is 180 degrees, hence we will take the measure of the angles in the triangle EFY to have:

70 + 7x - 5 + 45 = 180

110 + 7x = 180

7x = 180 - 110

7x = 70

x = 10

Similarly for the triangle EDY;

45 + 70 + 5y = 180

115 + 5y = 180

5y = 180 - 115

5y = 65

y = 13

Hence the measure of the values of x and y are 10 and 13 respectively

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The portfolio beta is a measure of the systematic risk of a portfolio relative to the overall market. In this case, if you invest 35% in Stock A with a beta of 0.92, 35% in Stock B with a beta of 1.21, and 30% in Stock C with a beta of 1.35.

To calculate the portfolio beta, we multiply each stock's beta by its corresponding weight in the portfolio, and then sum up these values. In this case, the portfolio beta can be calculated as follows:

Portfolio Beta = (0.35 * 0.92) + (0.35 * 1.21) + (0.30 * 1.35) = 0.322 + 0.4235 + 0.405 = 1.15

Therefore, the portfolio beta is 1.15. This means that the portfolio is expected to have a systematic risk that is 1.15 times the systematic risk of the overall market. A beta of 1 indicates that the portfolio's returns are expected to move in line with the market, while a beta greater than 1 suggests higher volatility and a higher sensitivity to market movements.

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I'm pretty sure you just multiply the 1 1/4 by 3 because if 1 1/4 makes 10 muffins you need to make 3 more dozens so 1 1/4 times 3 equals 3.75

The key differences between the catastrophic insurance coverage and the silver plan are as follows

The key differences between the catastrophic insurance coverage and the silver plan are that the latter requires an initial bulk payment before the monthly premiums that are now on the low side whereas the silver plan involves high deductibles.

Also, the catastrophic plan is available for individuals that qualify for a hardship exemption.

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Answer:

38% order a chicken dinner

Step-by-step explanation:

40% order tacos.  50% of 40% order chicken tacos.  50% of 40% = 0.5 * 0.4 = 0.2 = 20% order chicken tacos.

60% order fajitas.  30% of 60% order chicken fajitas.  30% of 60% = 0.3 * 0.6 = 0.18 = 18% order chicken fajitas.

20% + 18% = 38% order a chicken dinner.

Answer:

c is the answer

Step-by-step explanation:

Withholding food and fluids before surgery is done to ensure that the patient's stomach is empty. This helps to minimize the risk of aspiration, which occurs when stomach contents enter the lungs. Aspiration can lead to respiratory complications such as pneumonia, which can be dangerous for the patient.

The appropriate response by the nurse is d) It prevents aspiration and respiratory complications. Withholding food and fluid before surgery is important to prevent aspiration, which occurs when stomach contents enter the lungs during surgery, and can cause respiratory complications. It also helps ensure a clear surgical field. However, the patient will still receive necessary fluids and medications through an IV during surgery to prevent dehydration and maintain blood pressure. It is important to follow the healthcare provider's instructions on pre-operative fasting to ensure the safest surgical experience.
d) It prevents aspiration and respiratory complications.
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Answer:

Pasos para resolver una ecuación lineal

3x−2/4−2x+5/3=1−x/6

Multiplique ambos lados de la ecuación por 12, el mínimo común denominador de 4,3,6.

36x−3×2−24x+20=12−2x

Multiplica −3 y 2 para obtener −6.

36x−6−24x+20=12−2x

Combina 36x y −24x para obtener 12x.

12x−6+20=12−2x

Suma −6 y 20 para obtener 14.

12x+14=12−2x

Agrega 2x a ambos lados.

12x+14+2x=12

Combina 12x y 2x para obtener 14x.

14x+14=12

Resta 14 en los dos lados.

14x=12−14

Resta 14 de 12 para obtener −2.

14x=−2

Divide los dos lados por 14.

x=

14

−2

​

Reduzca la fracción  

14

−2

 a su mínima expresión extrayendo y anulando 2.

x=−

7

1

Step-by-step explanation:

To answer this question, we need to use the information given in the problem. We know that 52% of all adults are shareholders, so the probability that a randomly selected adult owns shares of stock is 0.52.

To find the probability that a randomly selected adult did not own shares of stock, we can subtract this probability from 1 (since the sum of the probabilities of all possible outcomes must equal 1).

So, the probability that a randomly selected adult did not own shares of stock is:

1 - 0.52 = 0.48

Now, we can see that the information about shareholders having some college education is not needed to answer this question.

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The z-score of an appliance that failed after 64 months is 2.

To find the z-score:

The given parameters are:

The z-score is then computed as follows:

We have the following for an appliance that stopped working after 64 months:

So, the equation becomes:

Compare and contrast the differences:

Calculate the quotient:

Therefore, the z-score of an appliance that failed after 64 months is 2.

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Work Shown:

\(a_1 = -1 = \text{ first term}\\\\d = -2 = \text{ common difference}\\\\a_n = \text{ nth term of arithmetic sequence}\\\\a_n = a_1 + d(n-1)\\\\a_{21} = -1 + (-2)(21-1)\\\\a_{21} = \boldsymbol{-41}\\\\\)

Answer:

81,300

Step-by-step explanation:

Answer:

X : Z = 6 : 5

Step-by-step explanation:

X : Y      =  3 :  1

Double both sides

X : Y      =  6 : 2

     Y : Z=        2 :  5

Combined

X : Y : Z     =  6 : 2 : 5

Therefor

X : Z = 6 : 5

Answer:

y=x+2

Step-by-step explanation:

if you are looking for the equation, you can use point-slope formula because you are given the slope and a point that runs through the line. so...

(y-y1) = m (x-x1)

(y-4) = 1(x-2)

solve and add 4 onto both sides and multiply 1 by (x-2) which equals itself and then ad -2+4 to get 2

Part A: Expression to represent the total amount of juice left in the jar : (0.25 +0.30 + 0.75) - 0.20

Part B: Simplifying above expression using properties of addition and subtraction gives that total amount of juice left is  1.1 liter.

An expression is a group of terms consisting of numbers and mathematical operators ( +, -,*,/) and "=" is not there.

Given that a  jar contains 0.25 liter of apple juice, 0.30 liter of grape juice, 0.75 liter of pineapple. Melissa then drank 0.20 liter of the mixture.

Therefore, total juice in the jar before Melissa drank it = quantity of (apple juice + grape juice + pineapple juice ) = (0.25+ 0.30+0.75) liters

After Melissa drank 0.20 liter juice left = total  juice before - 0.20

Thus, Expression to represent the total amount of juice left in the jar is: (0.25 +0.30 + 0.75) - 0.20

And it can be solved as (0.25 +0.30 + 0.75) - 0.20 = (0.55+0.75)-0.20

                                                                                   = 1.30-0.20 = 1.1 liter

Thus, after simplifying expression we get that the left juice in the jar is 1.1 liter.

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The probability that all three selected students are boys is approximately 0.3929 or 39.29%.

To calculate the probability that all three selected students are boys, we need to consider the total number of possible outcomes and the number of favorable outcomes.

In this case, there are 12 boys and 4 girls in the class, making a total of 16 students. We want to select three students, and we want all three of them to be boys.

The total number of ways to select three students from the class is given by the combination formula, which can be represented as:

Total Possible Outcomes = nCr(16, 3) = (16!)/((16-3)! * 3!) = 560

Now, let's consider the number of favorable outcomes where all three selected students are boys. Since there are 12 boys, we can choose three of them using the combination formula:

Favorable Outcomes = nCr(12, 3) = (12!)/((12-3)! * 3!) = 220

Therefore, the probability that all three selected students are boys is:

Probability = Favorable Outcomes / Total Possible Outcomes = 220 / 560 ≈ 0.3929, or approximately 39.29%.

Hence, the probability that all three selected students are boys is approximately 0.3929 or 39.29%.

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Answer: 28282

Step-by-step explanation:

I think

No, the determinant of a matrix can only be calculated for square matrices. A square matrix has an equal number of rows and columns, while a non-square matrix has a different number of rows and columns.

The determinant is a mathematical property that is defined for square matrices only. It is a scalar value that represents certain characteristics of the matrix. To calculate the determinant of a square matrix, you can use various methods such as expansion by minors, cofactor expansion, or using the properties of determinants.

For example, let's consider a 3x2 non-square matrix:

```

A = [[1, 2],

    [3, 4],

    [5, 6]]

```

Since A is a non-square matrix, we cannot calculate its determinant.

the determinant is a concept applicable only to square matrices. Non-square matrices do not have a determinant.

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