The is 12,000ft what the diameter

An office is 20 feet long, 15 feet wide, and 12 feet high. it costs about 9 cents per year to air condition one cubic foot of sp

pentagon [3]

27$ because you do 20*15*12 then 3600*0.09 and divide that answer by 12 which is 27

7 0

3 years ago

It is possible to get 2 solutions when the system of equations is: (check all that apply)

SVETLANKA909090 [29]

Answer:

A system of the equation of a circle and a linear equation

A system of the equation of a parabola and a linear equation

Step-by-step explanation:

Let us verify our answer

A system of the equation of a circle and a linear equation

Let an equation of a circle as $x^2+ y^2 = 1$ ..........(1)

Let a liner equation Y = x ............(2)

substitute (2) in (1)

$x^2 + x^2 = 1\\2x^2 = 1\\$

$x^2 = \frac{1}{\sqrt{2} } \\x = +\frac{1}{\sqrt{2} } , -\frac{1}{\sqrt{2} }$ so Y = $+\frac{1}{\sqrt{2} } , -\frac{1}{\sqrt{2} }$

so the two solution are ( $(\frac{1}{\sqrt{2} } ,\frac{1}{\sqrt{2} }) (-\frac{1}{\sqrt{2} }, -\frac{1}{\sqrt{2} }$ )

A system of the equation of a parabola and a linear equation

Let equation of Parabola be $y^2 = x$

and linear equation y = x

substitute

$x^2 = x\\x^2 - x= 0\\x(x-1) = \\x = 0 , 1$

Y = 0,1

so the two solutions will be (0,0) and (1,1)

3 0

2 years ago

1) You are eating 3/4 cup of ice cream, 1/8 cup of chocolate syrup, and one sixteenths cup of cherries. How many (total) cups is

lara [203]

Answer:

3/4=ice cream

1/8=chocolate syrup

1/16=cherries

Total=3/4+1/8+1/16

$\frac{3X4}{4X4} +\frac{1X2}{8X2} + \frac{1X1}{16X1} \\\frac{12+2+1}{16} = \frac{15}{6}$

Total cups =15/6=2.5 cups.

Hoped this helped!

5 0

3 years ago

What is the correct name for the angle shown

Vesna [10]

Answer:

i dont see no angle

Step-by-step explanation:

4 0

3 years ago

Consider a sample with data values of 27, 25, 20, 15, 30, 34, 28, and 25. Compute the range, interquartile range, variance, and

Valentin [98]

So we have a set of integers,

$X=\{15,20,25,25,27,28,30,34\}$

And we need to compute some stats.

First the range,

The range of data set is difference between the maximum and the minimum of the data set.

So the minimum is 15 and maximum is 34 therefore the range is 34 - 15 = 19.

Second the interquartile range,

The interquartile range of data set is the difference of the first and third quartiles.

First quartile is the value separating the lower quarter and higher three - quarters of the set. The first quartile is computed by taking median of the lower half of the sorted set. This is 15, 20, 25, 25 and it's median is 22.5

Third quartile is therefore the median of 27, 28, 30, 34 which is 29.

Next up, variance.

The variance of set measures how much data is spread out. For data set $x_1,\dots, x_n$ with an average $a$ ,

$\mathsf{var}(X)=\Sigma_{i=1}^{n}\dfrac{(x_i-a)^2}{n-1}$

So first compute the average value which is actually a mean,

$a=\dfrac{1}{2}\Sigma_{i=1}^{n}a_i$

The sum $\Sigma_{i=1}^{n}a_i$ of numbers in set is 204.

Divide this by number of elements in the set (8).

$a=\dfrac{204}{8}=25.5$

Then compute the variance,

$\mathsf{var}(X)=\dfrac{\Sigma_{i=1}^{n}(x_i-a)^2}{n-1}\approx\boxed{34.57}$

And finally standard deviation,

Since have computed variance the standard deviation is nothing too hard. It's defined as a square root of variance,

$\mathsf{sde}(X)=\sqrt{\dfrac{\Sigma_{i=1}^{n}(x_i-a)^2}{n-1}}=\sqrt{34.57}\approx\boxed{5.88}$

Hope this helps.

r3t40

6 0

2 years ago