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3 years ago

Can some help with this problem

Mathematics

1 answer:

kotykmax [81]3 years ago

7 0

30
As it an equilateral so it would be 60
Its split into two 60/2 = 30

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Perform the indicated operation. Express answer as a simplified fraction (You may have

timofeeve [1]

Step-by-step explanation:

$4 + \frac{2}{3} = \frac{3 \times 4 + 2}{3} = \frac{14}{3} = 4 \frac{2}{3}$

$\frac{67}{71} \times \frac{381}{399} = \frac{67 \times 381}{71 \times 399} = \frac{25527}{28329} = \frac{8509}{9443}$

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3 years ago

Solve for x in the equation x2 – 12х+ 36 = 90

Leviafan [203]

Answer:

Step-by-step explanation:

90-36=54

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3 years ago

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Answer:

Step-by-step explanation:

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2 years ago

What does it mean when sampling is done without replacement? Choose the correct answer below. A. Once an individual is selecte

solmaris [256]

Answer:

The correct option is A) Once an individual is selected, the individual cannot be selected again.

Step-by-step explanation:

Consider the provided statement.

Without replacement mean each population sample unit has only one opportunity in the sample to be chosen.

For example:

If a bag contains 5 red and 3 white ball and you randomly select a white ball, the probability of selecting the white ball is 3/8.

Now if the experiment is done by without replacement that means the white ball (which you have selected) is no longer the part of the sample space.

Hence, we can say that once an individual is selected, the individual cannot be selected again.

Thus, the correct option is A) Once an individual is selected, the individual cannot be selected again.

8 0

3 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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3 years ago