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3 years ago

What value of X is always

Mathematics

1 answer:

valentina_108 [34]3 years ago

5 0

Answer:

Answer B

Step-by-step explanation:

Because (IQR) by 1.5 (a constant used to discern outliers). Add 1.5 x (IQR) to the third quartile. Any number greater than this is a suspected outlier. Subtract 1.5 x (IQR) from the first quartile.

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The object on the right is made from a square-based pyramid joined to a cuboid.

spayn [35]

Answer:

Density of steel = 80.73 gm/ $cm^3$

Step-by-step explanation:

The figure is made up of cuboid and square pyramid.

Height of cuboid, h = 9 cm

Length of cuboid, l = 6 cm

Width of cuboid, w = 6 cm

Volume of cuboid is given by the formula:

$V_{Cuboid} = l \times w \times h$

$V_{Cuboid} = 6 \times 6 \times 9\\\Rightarrow V_{Cuboid} = 324\ cm^3$

Density of Wood , $D_{Cuboid}$ = 0.68g/ $cm^3$

We know that formula of Density is:

$Density = \dfrac{Weight}{Volume}$

$D_{Cuboid} = \dfrac{W_{Cuboid}}{V_{Cuboid}}\\\Rightarrow W_{Cuboid} = V_{Cuboid} \times D_{Cuboid}$

Putting the values:

$W_{Cuboid} = 324 \times 0.68 = 220.32\ gm$

Total weight = $W_{Cuboid} + W_{Pyramid}$

970 = 220.32 $+ W_{Pyramid}$

$W_{Pyramid}$ = 749.68 gm

Volume of pyramid is given as:

$V_{Pyramid}= \dfrac{1}{3} \times \text{Area of Base} \times \text{Vertical Height}$

Base is a square with side 6 cm

$V_{Pyramid}= \dfrac{1}{3} \times 6 \times 6 \times (17 -9)\\V_{Pyramid}= 96\ cm^3$

Density of Steel/Pyramid:

$D_{Pyramid} = \dfrac{W_{Pyramid}}{V_{Pyramid}}\\\Rightarrow D_{Pyramid} = \dfrac{749.68}{96}\\\Rightarrow D_{Pyramid} = 80.73\ gm/cm^3$

5 0

4 years ago

Simplify.<br><br> (12 + 8m) - 2m<br><br> 18m<br> 12 + 10m<br> 12 + 6m<br> 12 - 6m

Colt1911 [192]

Answer:

12 + 6m

Step-by-step explanation:

6 0

3 years ago

Tina is planning to fence in an area for her dog. She wants to create a rectangular area of 1,600 square feet for her pet and ca

castortr0y [4]

The dimensions of the rectangular area of Tina's fence is 40 ft by 40 ft

<h3 />

<h3>Area of a rectangle:</h3>

area = lw

where

l = length

w = width

She wants to create a rectangular area of 1,600 square feet for her pet . Therefore,

area = 1600 ft²

lw = 1600

Therefore,

perimeter = 160 ft

Then,

perimeter of rectangle = 2(l + w)

160 = 2(l + w)

l + w = 80

Let's combine the equations

lw = 1600

l + w = 80

l = 80 - w

Therefore,

w(80 - w) = 1600

80w - w² = 1600

Therefore,

w² - 80w + 1600 = 0

w² - 40w - 40w + 1600 = 0

w(w - 40) - 40(w - 40) = 0

(w - 40)(w - 40) = 0

w = 40 or 40

Therefore, the dimensions can be calculated as follows:

lw = 1600

40l = 1600

l = 1600 / 40

l = 40 ft

Therefore, the dimensions are 40ft by 40 ft

learn more on algebraic model here: brainly.com/question/4151078

4 0

3 years ago

You applied for your dream job and just found out you got it. Your contract states that you will be making $36,000 a year. To bu

Musya8 [376]

Answer:

see attached

Step-by-step explanation:

A spreadsheet is a useful tool for keeping track of the numbers. A picture of one is attached.

We have assumed that the dollar amount for housing computed in the first part remains the same (though the percentage changes). If that is not the case, you'll have to recompute.

Likewise, we assume that the "5%" retirement amount remains 5% of the nominal salary, rather than 5% of the salary after the mandatory retirement deduction. Similarly, we assume dance lessons remain at their original amount, and were not reduced when the company began taking mandatory retirement.

Feel free to build your own spreadsheet and recompute as needed for any assumptions I got wrong, or for any additional scenarios.

8 0

3 years ago

In a football game, Kingston can make a touchdown worth 6 points or a field goal worth 3 points. Kingston scored a total of 15 p

bagirrra123 [75]

<h3>Answer: Choice A</h3>

6x+3y = 15

========================================================

Work Shown:

x = number of touchdowns

y = number of field goals

6x = points only from the touchdowns (ignore the fieldgoals for now)

3y = points only from the field goals (ignore the touchdowns for now)

6x+3y = total number of points from both categories combined

6x+3y = 15 since Kingston scored 15 points overall

-------------------------

Extra info (optional section)

We don't have enough info to fully nail down what x and y are in terms of numbers, but let's say he scored y = 1 field goal.

Then x would be,

6x+3y = 15

6x+3(1) = 15

6x+3 = 15

6x = 15-3

6x = 12

x = 12/6

x = 2

This tells us that Kingston scored 2 touchdowns if he scored 1 field goal.

2 touchdowns + 1 field goal = 2*6 + 1*3 = 12 + 3 = 15 points total

The ordered pair (x,y) = (2,1) is one solution to that equation.

Another solution is (x,y) = (1,3) following similar steps as shown above.

The third solution is (x,y) = (0,5). Each time x goes down by 1, y goes up by 2 and vice versa.

We only have 3 solutions in this case because x & y are nonnegative whole numbers. If x and/or y were allowed to be any real number, then we'd have infinitely many solutions.

3 0

2 years ago