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3 years ago

What is the cost of four small drinks that cost $4.50 each with a sales tax of 4%?

Mathematics

2 answers:

disa [49]3 years ago

7 0

$18.72
Because 4.50 + 4% is 4.68 then times 4 is 18.72

sladkih [1.3K]3 years ago

5 0

Answer:

18.72

Step-by-step explanation:

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Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary

uysha [10]

Answer:

The equation of the regression line is: $y=5.055 + 1.905 \cdot x$

Step-by-step explanation:

We have the following data:

$\begin{array}{c|cccccccccc}Productivity&23&25&28&21&21&25&26&30&34&36\\Dexterity&49&53&59&42&47&53&55&63&67&75\end{array}$

We can use the Least Squares Regression to find the line of best fit for a set of paired data.

To find the line of best fit for <em>n</em> points:

Step 1: For each (x,y) point calculate $x^2$ and xy.

Step 2: Sum all x, y, $x^2$ and xy, which gives us Σx, Σy, $\sum x^2$ and Σxy.

Step 3: Calculate Slope b:

$b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}$

where <em>n</em> is the number of points.

Step 4: Calculate Intercept a:

$a &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}$

Step 5: Assemble the equation of a line

$y=a + b \cdot x$

Following the above steps we get:

Step 1: Find $x^2$ and xy as it was done in the table

Step 2: Find the sum of every column:

$\sum{X} = 269 ~,~ \sum{Y} = 563 ~,~ \sum{X \cdot Y} = 15596 ~,~ \sum{X^2} = 7473$

Step 3: Use the following equations to find a and b:

$a &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 563 \cdot 7473 - 269 \cdot 15596}{ 10 \cdot 7473 - 269^2} \approx 5.055$

$b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 10 \cdot 15596 - 269 \cdot 563 }{ 10 \cdot 7473 - \left( 269 \right)^2} \approx 1.905\end{aligned}$

Step 4: Assemble the equation of a line

$y=5.055 + 1.905 \cdot x$

The graph of the regression line is:

4 0

3 years ago

Find the counterexample to one of the following statements

Alisiya [41]

Answer:

1) You know that the addition of all interior angles of a triangle always should add up to 180°

Then, for example, we can construct a triangle with angles

100°, 40°, 40° such that

100° + 40° + 40° = 180°

So we have an example of a triangle that has one angle greater than 90°.

2) Suppose that we have the positive numbers 0.5 and 1.

The product is: P = 0.5*1 = 0.5

the sum is: S = 0.5 + 1 = 1.5

The sum is greater than the product.

5 0

4 years ago

9x+3x-10=3(3x+x) is this a non soultion or real numbers or number

Oksanka [162]

No solution because the 12x’s cancel out and you have -10 left over which equals nothing

5 0

4 years ago

Can someone help me with a and b thank you

sdas [7]

Given:

a) Area = 121 ft²

b) Area = 81 yd²

To find:

The side length of each square

Solution:

a) Area = 121 ft²

Area of the square = s²

⇒ s² = 121

Taking square root on both sides.

$\Rightarrow \sqrt{s^2} = \sqrt{ 121}$

$\Rightarrow \sqrt{s^2} = \sqrt{ 11^2}$

Square root and squares get canceled.

⇒ s = 11

The length of each side of the square is 11 ft.

b) Area = 81 yd²

Area of the square = s²

⇒ s² = 81

Taking square root on both sides.

$\Rightarrow \sqrt{s^2} = \sqrt{ 81}$

$\Rightarrow \sqrt{s^2} = \sqrt{ 9^2}$

Square root and squares get canceled.

⇒ s = 9

The length of each side of the square is 9 yd.

3 0

3 years ago

A gumball machine has 360 red gumballs. If the red gumballs are 75% of the total number of gumballs, how many gumballs are in th

ludmilkaskok [199]

Answer:

There are a total of 480 gumballs in the machine!

Step-by-step explanation:

First, identify what you know:

1) A gumball machine has 360 red gumballs.

2) The red gumballs makeup 75% of the total number of gumballs.

If 360 red gumballs if 75% of the total gumballs, that means 3/4 of the gumballs are red. Simply divide 360 by three!

360/3 = 120

So, 1/4 of the total number of gumballs in the machine, is 120 gumballs. Simply multiply 120 by 4, to find the total one!

120 x 4 = 480 total gumballs

Hope this helps! :)

8 0

3 years ago