Answer:
length is 28.86ft
width= 4.12ft
Step-by-step explanation:
<h2>
This problem bothers on the mensuration of solid shapes, a rectangular prism.</h2>
The storage space takes the shape of a rectangular prism, and we are required to find the width and length of the storage space.
let the width of the basement be "w"
Given data
volume v=
length l =
width w=
height h=
We know that the expression for the volume of a rectangular prism is
substituting our data we have to find "w"
dividing both sides by 35 we have
find the square root of both sides we have
since we know that length= 7w and width = w , we can substitute our value for w and find the length and width
First, let's calculate the mean and the mean absolute deviation of the first bowler.
FIRST BOWLER: <span>8,5,5,6,8,7,4,7,6
Mean = (Sum of all data)/(Number of data points) = (8+5+5+6+8+7+4+7+6)/9
<em>Mean = 6.222</em>
Mean absolute deviation or MAD = [</span>∑(|Data Point - Mean|]/Number of Data Points
MAD = [|8 - 6.222| + |5 - 6.222| + |5 - 6.222| + |6 - 6.222| + |8 - 6.222| + |7 - 6.222| + |4 - 6.222| + |7 - 6.222| + |6 - 6.222|]/9
<em>MAD = 1.136</em>
SECOND BOWLER: <span>10,6,8,8,5,5,6,8,9
</span>Mean = (Sum of all data)/(Number of data points) = (<span>10+6+8+8+5+5+6+8+9</span>)/9
<em>Mean = 7.222</em>
Mean absolute deviation or MAD = [∑(|Data Point - Mean|]/Number of Data Points
MAD = [|10 - 7.222| + |6 - 7.222| + |8 - 7.222| + |8 - 7.222| + |5 - 7.222| + |5 - 7.222| + |6 - 7.222| + |8 - 7.222| + |9 - 7.222|]/9
<em>MAD = 1.531
</em>
The mean absolute deviation represents the average distance of each data to the mean. Thus, the lesser the value of the MAD is, the more consistent is the data to the mean. <em>B</em><em>etween the two, the first bowler is more consistent.</em>
Answer:
a=-1 b=3 h=-4 k=5. Hope this helps.
Step-by-step explanation:
We need to find transformations from f(x) to g(x).
K is formula usually means vertical shift. Vertical shift are usually at right end of formula. f(x) has a vertical shift of zero, while g(x) vertical shift is 5. So our k is 5.
h represent our horizontal shift in a equation.
Our horizontal shift is opposite of the sign given.
F(x) has no hoeinzontal shift, while g(x) has x+4.
Set x+4=0
so our h is -4.
B represent our horizontal compression or stretch.
Our horizontal compression/stretch is reciprocal of our b given.
f(x) has no compression or stretch, while g(x) has 1/3x.
Set 1/3x to one.
so our b is 3.
A represents the vertical compression/ stretch. F(x) doesnt have one but G(x) does.
Since it has just a negative sign in front of it, the compression is -1 so a=-1
Answer:
(0,10)
Step-by-step explanation:
Im pretty sure bc of subtracting 1 from the -1 in your x vaue and adding 2 to the 8 in you Y value
Answer:
(-1, 3), (-5, -5), and (1, 2)
Step-by-step explanation:
To make this easier to solve, simplify the inequality:
12x - 3y < 12
= -3y < -12x + 12 (subtract 12x)
= 3y > 12x - 12 (multiply by -1, switch the inequality because it was a multiplication by a negative number)
= y > 4x - 4 (divide by 3)
Now, just go through each point and see if they are correct after you plug them into the inequality and solve:
(-1, 3): 3 > -8? yes
(-5, -5): -5 > -24? yes
(0, -4): -4 > -4? no
(1, 2): 2 > 0? yes
(4, 4): 4 > 12? no
(3, 8): 8 > 8? no
In conclusion, the points (-1, 3), (-5, -5), and (1, 2) fit the inequality.