You went to Best Buy to purchase a new computer. You have a coupon for 20% off of
the price. Best Buy is running a promotion where an additional 15% discount is given at
the register. If the computer costs $1099, how much will you pay after the discounts?

Answer:

1/6y + 1/6(y + 12) - 2

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

<3 and <2 are on a straight line.a straight line is 180° .so <3 +<2=180.angles which add up to 180 ° are said to be supplement

The best statement in geometric proof that proves the theorem that vertical angles are equal \(\angle2 + \angle3 = 180^{\circ}\)  because ∠2 and ∠3 are linear pair.

In the given proof, where the angles are labeled as ∠1, ∠2, ∠3, and ∠4,  demonstrate the equality of vertical angles by utilizing the concept of a linear pair:

Step 1: Given two lines intersect.

Step2:

Step 3:

Step 4:

By following this step-by-step geometric proof,  establish that the best statement to prove the theorem "Vertical angles are equal when two lines intersect" is the statement that defines vertical angles as "Vertical angles are formed by adjacent angles sharing a common side

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The ladder will reach a Height of approximately 43.46 meters on the building.

To find out how high on the building the ladder will reach, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the ladder forms a right triangle with the ground and the building. The base of the ladder is 7 meters, the height of the building is what we need to find, and the length of the ladder is given as 44 meters.

Using the Pythagorean theorem, we can set up the equation:

(Height of the building)^2 + 7^2 = 44^2

Simplifying the equation, we have:

(Height of the building)^2 + 49 = 1936

Subtracting 49 from both sides, we get:

(Height of the building)^2 = 1887

To find the height of the building, we take the square root of both sides:

Height of the building = √1887

Calculating the square root of 1887, we find that the height of the building is approximately 43.46 meters.

Therefore, the ladder will reach a height of approximately 43.46 meters on the building.

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Step-by-step explanation:

Based on the information given, we have a diagram with two sides labeled as 13.3 mm and 5.5 mm, and another side labeled as X mm.

To find the length of X, we can use the fact that the sum of the lengths of the sides of a triangle is equal to the perimeter.

Perimeter = 13.3 mm + 5.5 mm + X mm

The perimeter is the total distance around the triangle. Since we have three sides, the perimeter is the sum of the lengths of those sides.

To find X, we can subtract the sum of the known sides from the perimeter:

X mm = Perimeter - (13.3 mm + 5.5 mm)

Since the value of X is not given, we cannot calculate it without the perimeter value. If you provide the perimeter value, I can help you find the length of X.

The solution to the inequality 1 + 3r > 10 is r > 3.

This means that any value of r greater than 3 will satisfy the inequality.

To solve the inequality 1 + 3r > 10, we need to isolate the variable r on one side of the inequality sign.

Let's begin by subtracting 1 from both sides of the inequality:

1 + 3r - 1 > 10 - 1

This simplifies to:

3r > 9

Next, we can divide both sides of the inequality by 3 to solve for r:

(3r)/3 > 9/3

This simplifies to:

r > 3

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If the archaeologist found a fossil whose length is 489.44 inches, using the conversion table, the length in feet, to the nearest tenth, is 40.8 feet.

The conversion table refers to the tabulated standard units of measurement, showing temperature, length, area, volume, weight, and metric conversions

For instance, the conversion table shows that 12 inches equal 1 foot.

The length of the fossil = 489.44 inches

12 inches = 1 foot

489.44 inches = 40.8 feet (489.44 ÷ 12)

Thus, using the conversion table, which relies on multiplication or division operations using the conversion factors, the length in feet of the fossil is 40.8 feet.

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Answer:

15

Step-by-step explanation:

The equation is just a plug in and solve. you have your given variables and all you have to do it plug them into the matching spot and solve

R=8   P=7

 8+7=15

Answer:

1). x = 81

2). x = 84

Step-by-step explanation:

1). By applying geometric mean theorem in the given triangle,

   \(\frac{x}{18\sqrt{14}}= \frac{18\sqrt{14}}{56}\)

   56x = (18√14)²

   56x = 4536

   x = \(\frac{4536}{56}\)

   x = 81

2). By applying geometric mean theorem,

    \(\frac{x}{8\sqrt{21}}= \frac{8\sqrt{21} }{16}\)

    16x = (8√21)²

    16x = 1344

    x = \(\frac{1344}{16}\)

   x = 84

Answer:

13

Step-by-step explanation:

Take 18 minus 5 and the answer is 13.

Answer:

2 outcomes maybe

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

The provided quadrilateral is a parallelogram because diagonals are bisecting each other option Yes is correct.

In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.

It is given that:

A quadrilateral is given in the picture.

As we know, in the parallelogram the diagonals of the parallelogram bisect each other.

In the figure, it is given that the diagonals are bisecting each other.

From the figure, the two opposite sides are parallel.

In the parallelogram the pair of opposite sides are parallel.

Thus, the provided quadrilateral is a parallelogram because diagonals are bisecting each other option Yes is correct.

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The width of the rectangular rug is 13 feet and the length of the rectangular rug is 26 feet.

Area of a rectangle formula: A = L * W. A

rectangle's length and width are multiplied to produce its area.

A is the area, L is the length, and W is the width or girth, where

A = L * W.

The corresponding sides of the rectangular rug and the rectangular floor must be proportional if they are alike.

Let's use "x" to represent the rug's width. The floor measures 32 feet in length and 26 feet in width, and the length of the rug is 16 feet according to the details provided. Since the rug and the surface are comparable, we can establish the following ratio:

Rug width/floor width = rug length/floor length

x / 26 = rug's length / 32

We can cross-multiply and then solve for "x" to find the answer:

32x = 26 * Rug's length

x =  (26 * Rug Length) / 32

\(= \frac{26 * 16}{32} \\= \frac{26}{2} \\= 13\)

Therefore x ( the width of the rug) is = 13 feet.

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Complete question:

The rectangular rug is similar to the rectangular floor. If the floor of the room measures 32 feet in length and 26 feet in width, and the length of the rug is 16 feet, what is the width of the rug?

Answer:

the answer will be 10/19

Step-by-step explanation:

Answer:

10/19

Step-by-step explanation:

replace x with 3 and y with 1 in the equation:

\(\frac{3x + y^2}{5x + 4y} = \frac{3(3) + (1)^2}{5(3) + 4(1)} = \frac{9 + 1}{15 + 4} = \frac{10}{19}\)

Answer:

46.3

Step-by-step explanation:

Mean is the average of all values. You add all the values on the table and divide them by the amount of values (here there are 10 land animals so you would divide by 10).

\(\frac{70+61+50+48+45+43+40+39+35+32}{10} =\frac{463}{10} = 46.3\)

Answer:

\( x+y = 30\)   (1)

\( 1.95x+ 2.85y = 78.30\)   (2)

From equation (1) we can solve for x and we got:

\( x = 30-y\) (3)

Replacing (3) into (2) we got:

\( 1.95(30-y) +2.85 y = 78.30\)

And solving for y we got:

\( 58.5 -1.95 y +2.85 y = 78.30\)

\( 0.9 y = 19.8\)

\( y = 22\)

And then solving for x we got:

\( x = 30-22 = 8\)

So then we have 8 donuts and 22 cupcakes

Step-by-step explanation:

Let x the number of donuts and y the number of cupcakes, from the info given we can set up the following equations:

\( x+y = 30\)   (1)

\( 1.95x+ 2.85y = 78.30\)   (2)

From equation (1) we can solve for x and we got:

\( x = 30-y\) (3)

Replacing (3) into (2) we got:

\( 1.95(30-y) +2.85 y = 78.30\)

And solving for y we got:

\( 58.5 -1.95 y +2.85 y = 78.30\)

\( 0.9 y = 19.8\)

\( y = 22\)

And then solving for x we got:

\( x = 30-22 = 8\)

So then we have 8 donuts and 22 cupcakes

Answer: 162%.

Step-by-step explanation:

To find the percentage increase in points, we need to calculate the difference between the two values, divide it by the original value, and then multiply by 100 to get the percentage.

The difference between Patrick's old score and his new score is:

328 - 125 = 203

The percentage increase is:

203/125 x 100% = 162.4%

Rounded to the nearest whole number, the percentage increase is 162%.

Answer:100,000

Step-by-step explanation:

The mean and standard deviation will change. Because it will not change in this case, the median is a better measure of the center. Given that the value 100 was changed to 15, the value of the mean will decrease because there is now a lower total value. As a result, the standard deviation will be reduced as well. Yes, the median is the better option. This is due to the fact that changing the value of 100 to 15 does not change the value of the median, and thus the previous information would not be changed if the median we used was.

Answer:

Step-by-step explanation:

Three times a number plus 8 girls would be

3x+8

The variable is x

The constant is 8

and the coefficient is 3

If Trey now has 9 times as many cards as he did when he began collecting, we can use the number of cards he had before as x.

Trey has 9x cards.

The variable in this equation is x and the constant is 9

If Nina has 3 dimes and 1 nickel in her pocket, we can say the dimes are b and the nickel is c

If she found some quarters on the ground, we can say the quarters are A, but we don't know how many, so we need x to represent how many quarters. the Variables in this equation are B, C, and A (b, c, and a)

We can write this in an equation as

3b+c +(ax) the coefficient is x, and the constant is 3

In the equation 2n+4, the variable is n, the coefficient is 4, and the constant is 2

A word problem for this equation could be:

Ray collects marbles. Ray's friend gave him 2 times as many marbles as he already had, and he found 4 marbles on the way home from his friend's house.

Variable for all be x,y,z

Answers are

#1

\(\\ \tt\hookrightarrow 3x+8\)

#2.

\(\\ \tt\hookrightarrow 9x\)

#3

\(\\ \tt\hookrightarrow 3x+4y+z\)

The value of tetha is 330°

If a ray rotates in an anticlockwise direction, then the angle formed as a product of the rotation is called a positive angle.

In other words if it rotates in clockwise direction, it is a negative angles.

If sin(tetha) = -0.5

to find the value of tetha we multiply both sides with the inverse of sin

therefore;

tetha = sin^-1(-0.5)

tetha = -30

therefore -30 is a negative angle, to find the positive angle of tetha, we add 360

therefore tetha = -30+360

= 330°

therefore the value if tetha that will be greater than 279 but less than 360 is 330°

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Answer:

$127.50

Step-by-step explanation:

All you have to do is $125 times 1.02 because it is adding to the price it is already.

$125 × 1.02.

Which is $127.50.

Answer:

  y = -5/2x +1

Step-by-step explanation:

You want the slope-intercept form equation for the line through the point (-2, 6) that is parallel to 5x +2y = -4.

The equation of a parallel line can be the same as the given equation, except for the constant. The new constant can be found by substituting the given point coordinates:

  5(-2) +2(6) = c

  -10 +12 = c

  2 = c

Now we know the equation of the parallel line can be written as ...

  5x +2y = 2

Solving for y puts this in slope-intercept form:

  2y = -5x +2 . . . . . . . . subtract 5x

  y = -5/2x +1 . . . . . . . . divide by 2

We don't know what your boxes look like, but we can separate the numbers to make it look like this:

  \(\boxed{y=\dfrac{-5}{2}x+1}\)

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99.73 % of the points on a process control chart to fall within the UCL and LCL.

Given that,

We have to find the percentage of the points on a control chart to fall within UCL and the LCL.

We know that,

Calculating the sample data's standard deviation,. Adding three times to that sum. For the UCL, add (3 x to the average) and for the LCL, deduct (3 x from the average).

In control chart , control limits UCL and LCL are three standard deviations either side of the mean , so 99.73% of points are within the UCL and LCL.

Therefore, 99.73 % of the points on a process control chart to fall within the UCL and LCL.

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Answer:

21 I think, might be wrong.

The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.

The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.

Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).

The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.

The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.

The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).

Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

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Answer:

2

Step-by-step explanation:

coefficient: the number multipliing the variable

variable: the letter

constant: the number

Answer:

2

Step-by-step explanation:

8 would be the coefficient

Y would be the variable

Making 2 the constant

After rounding off the median of the given data would be 38.

The median is the value that divides a data sample, a population, or a probability distribution's upper and lower halves in statistics and probability theory.

It could be referred to as "the middle" value for a data set.

The fundamental difference between the mean and the median when describing data is that the median is more representative of the "normal" value because it is not skewed by a tiny fraction of exceptionally big or small values.

So, calculate as follows:

22, 25, 25, 36, 39, 48, 53, 70

TErms are even: Average of two middle terms to get median.

Median = 36 + 39/2

Median = 37.5

Rounding off: 38

Therefore, after rounding off the median of the given data would be 38.

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The difference between the total number of wholesalers and those that supply on 30-day credit, gives the number that require cash on delivery as 2

The number of wholesalers Sue has sourced = 4

Terms of two suppliers = 30 days credit

Amount of stock Sue has = $15000

Amount of stock on credit = $10000

Operating cash reserve of the business = $20000

Required:

The number of wholesalers that require terms of cash on delivery

Solution:

Given that the number of wholesalers = 4

The number number of suppliers (wholesalers) that supply on 30-day credit = 2

Therefore;

The number of wholesalers that require terms of cash on delivery = 4 - 2 = 2

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The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.

To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.

The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

For the line containing (1,2) and (5,3), the slope is:

slope1 = (3 - 2) / (5 - 1) = 1 / 4

To find the slope of the line containing (x,4) and (3,0), we use the same formula:

slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.

So, we can set up the equation:

-1 / (1/4) = -4 / (3 - x)

Simplifying this equation:

-4 = -4 / (3 - x)

To remove the fraction, we can multiply both sides by (3 - x):

-4(3 - x) = -4

Expanding and simplifying:

-12 + 4x = -4

Adding 12 to both sides:

4x = 8

Dividing both sides by 4:

x = 2

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The possible rectangle's length and width are A) 1 cm and 15 cm and C) 3 cm and 5 cm

The given parameters are

Area = 15 square cm

The area is given as

Area = 15 square cm

The formula of area is

Area = Length x Width

Using the above formula, we have:

A) 1 cm and 15 cm ⇒ 15 square cm

B) 2 cm and 7 cm ⇒ 14 square cm

C) 3 cm and 5 cm ⇒ 15 square cm

D) 4 cm and 4 cm ⇒ 16 square cm

Hence, the possible rectangle's length and width are A) 1 cm and 15 cm and C) 3 cm and 5 cm

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Possible question

The area of a rectangle is 15 square cm

Which of the following could be the rectangle's length and width?

(Area = length x width)

Choose all answers that apply:

A) 1 cm and 15 cm

B) 2 cm and 7 cm

C) 3 cm and 5 cm

D) 4 cm and 4 cm