Given that mean of quiz scores = 6.4 and standard deviation = 0.7
And we need to use Chebyshev's theorem to find the range in which 88.9% of data will reside.
Chebyshev's theorem states that "Specifically, no more than 
of the distribution's values can be more than k standard deviations away from the mean".
That is 
k = 3
So, we want the range of values within 3 standard deviations of mean.
Hence range is [mean -3*standard deviation, mean +3*standard deviation]
= [6.4 - 3*0.7 , 6.4+3*0.7]
= [6.4 - 2.1 , 6.4+2.1] = [4.3,8.5]
Answer:
15 meters and 25 meters long
Step-by-step explanation:
<em>There are 2 pieces of rope</em>.
Total length of both---> 40 meters
Length of piece 1 ------> x
Length of piece 2 -----> x + 10
<em>Find the value of x.</em>
<em>Form an equation ----> Length of piece 1 + length of piece 2 = total length</em>
x + (x + 10) = 40
2x + 10 = 40
2x = 30
x = 15
Length of piece 1 --> x ---> 15
Length of piece 2 --> x + 10 ----> 15 + 10 = 25
Therefore, one piece is 15 meters long and the other piece is 25 meters long.
Answer:
Step-by-step explanation:
Answer:
A) The height of the water increases 2 inches per minute.
Step-by-step explanation:
Slope is the rate of change of height
m = (16 - 12)/(4 - 2) = 4/2 = 2
2 inch per min
Positive slope implies increase
Answer:
Felicia, these questions are tough for a lot of reasons, so it makes sense to me that nobody is giving you the right answers. here is a right one :)
Step-by-step explanation:
1st we need a strategy. brainstorm :P we are given the cost of material for boxes in area, we are asked how much 12 boxes would cost. let's find the area of the material for one box multiply that by the given cost. and then multiply that by 12 for the total cost. seem good? Yes there are other good ways to solve this problem if you're thinking that. this is just how I'm arbitrarily choosing to solve it.
1) surface area of prism box
1a) triangles on ends
1/2* b*p ( I think 6.2 is P for you, not positive about that)
1/2*6.4*6.2= 19.84
1b) flat sides
6.4*25 =160 ( this is B )
1c) add up the 5 sides
160*3 + 19.84 * 2 = 839.68 
2) find the cost on 1 box
839.68 * $0.0001 = 0.8397
about $0.84
3) find the cost for 12 boxes
0.8397 * 12 = 10.076
about $10.08
try those answers :)
Answer:
Since a triangle has 180 interior degrees, and 81+57=138, and 180-138=42, you need to find _*2+18=42. (Hint, you can subtract the 18 from the 42, and find _*2=24).
Step-by-step explanation:
