Answer:
0.969
Step-by-step explanation:
Given that:
Mean lifetime (m) = 520 hours
Variance = 900
Hence, standard deviation (s) = √900 = 30
Probability that bulb will last for at most 576 hours
X ≤ 576
Obtain the standardized score :
Using the relation :
Zscore = (x - m) / s
Zscore = (576 - 520) / 30
Zscore = 56 / 30
Zscore = 1.867
P(Z ≤ 1.867) : using the z probability calculator ;
P(Z ≤ 1.867) = 0.96905
Hence, P(Z ≤ 1.867) = 0.969
Answer:
9
Step-by-step explanation:
Step-by-step explanation:
The vertical angles are congruent. The right angles are congruent. There are 2 angles of a triangle congruent to 2 angles of anther triangle. By AA Similarity the triangles are similar.
Statement A. (vertical angles are congruent)
Statement D. (right angles are congruent)
Triangle AEC is similar to triangle BDC.
Statement E is true but does not help.
Correct statement of proportional side lengths:
BD/AE = CD/CE
x/150 = 200/50
x/150 = 4
x = 600
P.S. I think there is a mistake in the problem. I don't think that statement E is correct. It is a true statement, but it is useless. Statement F is false.
That is slope intercept form.
Slope intercept form is y=mx+b
Answer:
see below
Step-by-step explanation:
1. 7x+2x+19x
(7, 2, 19) x
=28x
2. -6x-3+3x-9
-3x-3-9
=3x-12
3. (3x-4y) -(x+2y)
3x-4y-x-2y
=2x-6y
4. 18x5 - 6x3
90-18
=72
5. (x+5)(x-7)
x²-7x+5x-35
=x²-2x-35
