How many terms are in the following expression?

What’s the square root of 81

dalvyx [7]

Answer:

The square root of 81 is 9

8 0

3 years ago

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According to industry sources, online banking is expected to take off in the near future. The projected number of households (in

Airida [17]

Answer:

(a) The least-square regression line is: $y=4.662+2.709x$ .

(b) The number of households using online banking at the beginning of 2007 is 31.8.

Step-by-step explanation:

The general form of a least square regression line is:

$y=\alpha +\beta x$

Here,

y = dependent variable

x = independent variable

α = intercept

β = slope

(a)

The formula to compute intercept and slope is:

$\begin{aligned} \alpha &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} \\\beta &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} \end{aligned}$

The values of ∑X, ∑Y, ∑XY and ∑X² are computed in the table below.

Compute the value of intercept and slope as follows:

$\begin{aligned} \alpha &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 68.6 \cdot 55 - 15 \cdot 218.9}{ 6 \cdot 55 - 15^2} \approx 4.662 \\ \\\beta &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 6 \cdot 218.9 - 15 \cdot 68.6 }{ 6 \cdot 55 - \left( 15 \right)^2} \approx 2.709\end{aligned}$

The least-square regression line is:

$y=4.662+2.709x$

(b)

For the year 2007 the value of x is 10.

Compute the value of y for x = 10 as follows:

$y=4.662+2.709x$

$=4.662+(2.709\times10)\\=4.662+27.09\\=31.752\\\approx 31.8$

Thus, the number of households using online banking at the beginning of 2007 is 31.8.

5 0

3 years ago

Jason practiced making soccer goals and kept track of the results. He missed 3 goals but made 9 in one practice session. What ca

n200080 [17]

Answer:

Jason will make 21 goals.

Step-by-step explanation:

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8 0

3 years ago

Matt plans to put concrete on a rectangle portion of his driveway. The portion is 8 feet long and 4 inches high. The price of co

Snowcat [4.5K]

The answer is d. 6 feet

3 0

4 years ago

Find the slope of the line.

kicyunya [14]

Answer:

slope = $\frac{-1}{5}$

Step-by-step explanation:

Find the slope of the line using the slope formula, $\frac{y_2-y_1}{x_2-x_1}$ . The formula requires two points from the line - and looking at the graph, (1, 10) and (6, 9) are two points the line passes through (but any other points the line also passes through would work fine, too). So, substitute the points' x and y values into the formula and solve:

$\frac{(9)-(10)}{(6)-(1)} \\= \frac{-1}{5}\\$

Therefore, $-\frac{1}{5}$ is the slope.

7 0

3 years ago