Answer:
a) 0.997 is the probability that the breaking strength is at least 772 newtons.
b) 0.974 is the probability that this material has a breaking strength of at least 772 but not more than 820
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 800 newtons
Standard Deviation, σ = 10 newtons
We are given that the distribution of breaking strength is a bell shaped distribution that is a normal distribution.
Formula:
a) P( breaking strength of at least 772 newtons)
Calculation the value from standard normal z table, we have,
0.997 is the probability that the breaking strength is at least 772 newtons.
b) P( breaking strength of at least 772 but not more than 820)
0.974 is the probability that this material has a breaking strength of at least 772 but not more than 820.
Answer:
There are no options but I guess C
Step-by-step explanation:
Answer:
(-7,2)
Step-by-step explanation:
3x+8y=-5
-2x+2y=18
so first of all, you want either x or y to be the same for both equations <em>(it can be negative or positive but has to be the same number)</em>
to do that, we'll multiply them:
I'll do y because it is easier
(-2x+2y=18) 4
<u>-8x+8y=72</u>
<u>3x+8y=-5
</u>
the y's now match
let's subtract them because they're both positive
-8x - 3x = -11x
8y - 8y = 0
72 - (-5) = 77
so -11x = 77
which results to x = -7
now we need the y.
to do that, we simply plug in the x in any of the equations:
-2x+2y=18
-2 (-7) + 2y = 18
14 + 2y = 18
2y = 4
y = 2
so the answer is (-7,2) if you're looking for a point
Answer:
27 : 1
Step-by-step explanation:
The faces of a regular tetrahedron are equilateral triangles. The incenter, circumcenter, and centroid are all the same point, located 1/3 of the distance from the edge to the opposite vertex of the face. The vertical height of the point that is 1/3 the slant height from the base is 1/3 of the height of the tetrahedron.
Then the "inscribed" tetrahedron has 1/3 the height of the original. The ratio of volumes is the cube of the ratio of linear dimensions, so the ratio of the larger volume to the smaller is ...
3³ : 1³ = 27 : 1
Answer:
False
Step-by-step explanation:
As an example
× 6 = 3
Thus a fraction can be multiplied by a whole number/ integer