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3 years ago

In an upcoming election, the student body will elect a president, vice president, secretary and treasurer.

1 answer:

6 0

25*24*23*22=303600

each multiplicand is just the number of people remaining to choose from at that point in the selection process...

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Given quadrilateral RSTU, determine if each pair of sides (if any) are parallel and which are perpendicular for the coordinates

nika2105 [10]

We would need to figure out the gradient of each "pair", as provided in the image.

The equation of the gradient is found by,

m = $\frac{ y_{2 } - y_{1 } }{ x_{2 } - x_{1 } }$

Parallel lines mean they have the same gradient
Perpendicular lines will follow the formula $m_{1 } * m_{2 } = -1$
"None" will apply to those that do not follow either.

Now we calculate the gradient of the pairs given to us by substituting the x and y values.

RS = $\frac{2-5}{8-(-1) }$
= $-\frac{1}{3}$

TU = $\frac{-2 - 5}{-4 -5}$
= $\frac{7}{9}$

Therefore, the "pair" RS and TU will be NONE.

ST = $\frac{5 - 2}{5-8}$
= -1

RU = $\frac{-2 -5}{-4 -(-1) }$
= $\frac{7}{3}$

Therefore, the "pair" ST and RU is also NONE.

Hope this helped! Feel free to ask me if there's any part of the working you don't understand :)

8 0

4 years ago

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A confidence interval for a population mean __________. A. Estimates a likely interval for a population mean B. Estimates likeli

lisov135 [29]

Answer:

<h3>Option A) Estimates a likely interval for a population mean is correct</h3><h3>Hence a confidence interval for a population mean is used to <u>Estimates a likely interval for a population mean</u></h3>

Step-by-step explanation:

Given that a confidence interval for a population mean <u>Estimates a likely interval for a population mean</u>

For :

A confidence interval is a range of values that’s likely to include a population value with a certain degree of confidence.

It can be expressed as a the (percentage value) $\%$ where by a population mean lies between an upper and lower interval.

Therefore a confidence interval for a population mean is used to <u>Estimates a likely interval for a population mean</u>

Option A) Estimates a likely interval for a population mean is correct

<h3>Hence a confidence interval for a population mean is used to <u>Estimates a likely interval for a population mean</u></h3>

6 0

4 years ago

Roberta needs ribbon for a craft project. The ribbon sells for $3.74 per yard. Find the cost, in dollars, for 48 inches of the r

almond37 [142]

You have to convert 1 yard to 36 inches. so you do 3.74×3.74(1/3) because the extra 12 inches is one third of a yard. You eventually get 4.986 which rounds to 4.99

5 0

4 years ago

{2, 4, 4, 5, 7, 9, 15)<br> What is the median of the set of numbers above?

Akimi4 [234]

Answer:

Step-by-step explanation:

3 0

3 years ago

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Arthur is putting a tile floor in this room. The tiles are 1 foot on each side. Half of the tiles will be dark brown tiles that

TEA [102]

Hey. Let me help you on this one.

As the question says, the area of the floor surface is 17 feet by 9 feet. Each floor tile is 1 foot in length, and 1 foot in width. We know that the area of one tile is $1^{2}$ ft squared if we substitute numbers into the square area formula and solve it.

$S=a*b$
$S=1*1$
$S=1$

We understand that each tile costs a different amount of money, so that's why we need to set up an equation we can later solve. For this; however, we will need to know the complete area of the floor since this is going to be our total.

In order for us to solve for the total area, we have to use the same area formula we used a step ago.

Length of the floor is 17 feet, while the width is 8 feet. Let's multiply them together.

$S=a*b$
$S=17*8$
$S=136$

Awesome! We know the complete area of the floor as the whole, which is 136 feet squared, and area of the individual tile is 1 foot squared.

If we divide 136 by 1, we will determine the amount of square tiles within the floor. 136 divided by 1 is 136, meaning that there are 136 tiles in the floor.

Now, let's form the solution that will show both prices and amounts of the tiles. Our first initial step is to find out how much one half of 136 is. We can do it by finding 50% of 136.

$0.5*136=68$

One half of 136 is 68, meaning that 68 tiles will cost 58 cents each, and that other 68 tiles will cost 49 cents each. Let's form the solution which we can then solve.

$(68*58)+(68*49)$
$3944+3332=7276$

Answer: 7276 cents, or $72.76 is the price of the floor.

7 0

3 years ago

Read 2 more answers