Solve the following equation: 3x - 7 = 9 + 2x.
A)12
B)16
c)20
d)24

Answers

Answer 1
Answer: answer:
B

the equation:
3x-7=9+2x

step 1: subtract 2x from both sides
x-7=9

step 2: add 7 to both sides
x=16
Answer 2
Answer:

Answer:

Option B

Step-by-step explanation:

3x - 7 = 9 + 2x\n\n3x-7+7=9+2x+7\n\n3x = 9 + 7 + 2x\n\n3x=16+2x\n\n3x-2x=16+2x-2x\n\n\boxed{x=16}

Hope this helps!


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16. The original price of a tie is $12.50. The new price of the tie is now$7.50. By what percentage was the tie marked down? *

Answers

The tie was marked down by 40%

What is the answer to a

Answers

Answer: a = b*r/n

Step-by-step explanation: Hope this helps :^)

Set up a proportion and solve each problem. Round each answer to the nearest tenths. 5) What is 35% of 74? 6) 78 is what percent of 95? 7) Find what% of 54 is 6. 8) 28 is 60% of what number?​

Answers

Answer:

5)  35 / 100 = X / 74      X = 2590 / 100 = 25.9

or .35 * 74 = 25.9

6) 78 / 95 = X * 100

X = 7800 / 95 = 82.1 %

or X = 78/95 * 100 = 82.1 %

7)  60/100 * X = 28

X = 2800 / 60 = 46.7

Or .6 * X = 28

X = .28 / .6 = 46.7

What is an example of "interval level"?

Answers

The interval level of measurement is a number scale that classifies both order and the value change between each number. For example, a ruler has intervals 1, 2, and 3 inches. The distance between 1 to 2 inches is the same as the distance between 3 to 4 inches.

Problem 8-19 Because of high tuition costs at state and private universities, enrollments at community colleges have increased dramatically in recent years. The following data show the enrollment (in thousands) for Jefferson Community College for the nine most recent years. Click on the datafile logo to reference the data. Year Period (t) Enrollment (1,000s) 1 1 6.5 2 2 8.1 3 3 8.4 4 4 10.2 5 5 12.5 6 6 13.3 7 7 13.7 8 8 17.2 9 9 18.1 Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series.If required, round your answers to two decimal places.
y-intercept, b0 = 4.7.17
Slope, b1 = 1.46
MSE = ???????? NEED THIS
What is the forecast for year 10? 19.283
Round your interim computations and final answer to two decimal places.

Answers

Answer:

a) find the attached graph

b) find the attachment no 4 and 5

c)T_(10)= 4.72+1.46(10) = 19.28

Step-by-step explanation:

a) A trend pattern exist if the time series plot gradually shifts to higher or lower values over a long period of time

find the attached graph

b) Liner Trend Equation

T_(1) =b_(0) +b_(1)t

Where T_(1) is the linear trend forecast in period t , b_(0) is the intercept of the linear trend time, b_(1) is the slope of the linear trend line, t is the time period

now computing the slope and intercept

formula is attached ( 3 no attachment)

Y_(t)is the value of the time series in period t, n is the number of time periods

Y(bar) is the average value and t(bar) is the average value of t

due to unavailability of equation in math-script i attached the calculation part of this question( 4th and 5th no attachment)

thus the linear trend equation is T_(t)= 4.72+1.46t                         (1)

T_(10)= 4.72+1.46(10) = 19.28

Final answer:

To find the Mean Squared Error (MSE), you can calculate the difference between the actual and predicted values, square these differences, and find their average. To forecast for a specific year, you can insert the year as the 'x' value into the simple linear regression equation.

Explanation:

The question is asking for the Mean Squared Error (MSE) for a simple linear regression model based on the enrollment data of Jefferson Community College. This involves using the y-intercept (b0) and slope (b1) values provided, and the given data points. You can calculate the MSE by taking the difference between the actual and predicted values (errors), squaring these differences, and then finding the average of these squared differences for the entire dataset.

Then, to forecast for year 10, you use the simple linear regression model equation, y = b0 + b1*x, where y represents the predicted enrollment. So, for year 10, you would insert 10 as your 'x' value into the equation, which results in the forecast value provided which is 19.283.

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Which shows one way to determine the factors of Which shows one way to determine the factors of x3 + 4x2 + 5x + 20 by grouping? by grouping?

Answers

The factored expression of the expression x^3 + 4x^2 +5x + 20 is (x^2 + 5)(x + 4)

How to determine the factors?

The expression is given as:

x^3 + 4x^2 +5x + 20

Group the expression into two

(x^3 + 4x^2) + (5x + 20)

Factorize each group

x^2(x + 4) + 5(x + 4)

Factor out x + 4

(x^2 + 5)(x + 4)

Hence, the factored expression of the expression x^3 + 4x^2 +5x + 20 is (x^2 + 5)(x + 4)

Read more about expressions at:

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