Multiply: (5x − 2)(4x2 − 3x − 2)

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

2 years ago

Work out the value of (2³)²

ankoles [38]

The answer is 64 because (2^3) is 8 with an exponent of 2 is 64

7 0

1 year ago

Easy question (easy math question)

Ronch [10]

Answer:

4/5

Step-by-step explanation:

because the ratio is 4:5

6 0

3 years ago

Read 2 more answers

At cycle and sport, customers can rent bikes, electric scooters, kayaks, canoes or paddleboards by the hour. Ari is renting a bi

Ivan

Answer:

Option A, 9b + 10s is correct

Step-by-step explanation:

The complete question is

At cycle and sport customers can rent bikes, electric scooters, kayaks, canoes, or paddleboards by the hour. Ari is renting a bi ke, and meg is renting an electric scooter. Which expression represents the total cost for Ari to rent a bike for b hours and Meg to rent a scooter for s hours (Please answer ASAP) A. 9b + 10s B. 9 + 10 C. (9+b) + (10 + s) D. 9 + 10 x b + s

Solution

The price of renting a bike for one hour is $9

The price of renting a scooter for one hour is $10

Given -

Ari rents a bike for b hours and Meg rents a scooter for s hours

Total cost of renting a bike is 9 * b

Total cost of renting a scooter is 10* s

The total cost of renting both the bike and scooter is

9b + 10s

Hence, option A is correct

7 0

2 years ago

HELPPPPP PPPPP PPPPPPP P P PP PPPPPPP

Mandarinka [93]

I only found one because im on a time limit, hope this helps

One combination is buying the 4 episodes, with $8 remaining (i rounded the prices) and with the sale, you can get 6 songs for $7.80 and end up getting 4 episodes and 7 songs

8 0

3 years ago