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2 years ago

The sum of 5x and 2xis at least 14 as a inequality

Mathematics

2 answers:

vesna_86 [32]2 years ago

8 0

Answer:

The sum of 5x and 2xis at least 14 as an inequality is: 5x +2x < 14

The product of x and y is less than 4 as an inequality is: x * y < 4

Step-by-step explanation:

lukranit [14]2 years ago

5 0

The answer is: 1 1/3 or 1.33333
5x-2x=<4
3x<4
3x/3<4/3
x=4/3

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Answer:

C. 2x + 6

Step-by-step explanation:

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2 years ago

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.

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2 years ago

Help with a question

jolli1 [7]

If my above assumption is correct, we can easily find the area of the left side of the rectangle by finding the area of 3 things. The first is the area of the entire region.

At = (0.8)(1.0+1.4) = 1.92

Next we need the area of the circle. Which is pi*r^2, with r being height divided by two. (0.4)
C = 0.502

Finally we need to find the area of the rectangle left region. Which is basically the rectangle from the center of the circle region to the end of the left of the entire region. This is just (1.0)(0.8) = 0.8

Finally we can find the area of the light blue area by just subtracting half the area of the circle (dark blue) from the area we just calculated.
0.8 - (0.502 / 2) = 0.549

Now for the probability we do this area divided by total area.

0.549/1.92 = 0.285 or about 0.29 which is just 29%

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2 years ago

Can anyone please help me with this

Veseljchak [2.6K]

Answer

The answer is B

Step-by-step explanation:

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2 years ago