X=6 and 2/3
the proportion is also 3:5
7.31 g cm Your goal when trying to find the density of a given substance is to determine the mass of one unit of volume of that substance.
Answer:
<em>The probability of obtaining a score less than 60 is 2.28%
</em>
<em>It happens 2 out of 100 times.</em>
Step-by-step explanation:
If the mean μ = 80 and the standard deviation σ = 10, then we need to find the probability that an X value is less than 60.
Then we find
To find this probability we use the Z statistic.
This is the same as
We look for this value in the table for the normal distribution of right queue and we have:
<em>The probability of obtaining a score less than 60 is 2.28%
</em>
<em>It happens 2 out of 100 times.</em>
Answer:
29.4 cm
Step-by-step explanation:
The length of the space diagonal can be found to be the root of the squares of the three orthogonal edge lengths. For a cube, those edge lengths are all the same, so the diagonal length is ...
d = √(17^2 + 17^2 +17^2) = 17√3 ≈ 29.4 . . . . cm
_____
Consider a rectangular prism with edge lengths a, b, c. Then the face diagonal of the face perpendicular to edge "a" has length ...
(face diagonal)^2 = (b^2 +c^2)
and the space diagonal has length ...
(space diagonal)^2 = a^2 + (face diagonal)^2 = a^2 +b^2 +c^2
So, the length of the space diagonal is ...
space diagonal = √(a^2 +b^2 +c^2)
when the prism is a cube, these are all the same (a=b=c). This is the formula we used above.
