To construct a line perpendicular to line AB and passing through an external point M.
Step 1:- Keep point A as center and draw a circle using compass opened with a width equal to radius AM.
Step 2:- Similarly, Keep point B as center and draw another circle using compass opened with a width equal to radius BM.
Step 3:- The two circles drawn so far would cut at two points, first point is M and second point is N.
Step 4:- Join the two points M and N using straightedge.
Step 5:- Therefore, we have a line MN that is perpendicular to line AB.
Answer: 5 days
Step-by-step explanation:
First you do 75.00 plus 9.5 gets you 84.5 . Then 456 divided by 84.5 gets you 5.3964497 which is rounded to 5 days
Answer:
0.7477
Step-by-step explanation:
The mean(X) = 25,000 hrs
Standard deviation (σ) = 1500 hrs
The probability that the light bulb lasts more than 24,000hrs is Pr (X˃24,000)
Using Z-scores, Z= (X- μ)/σ
For X = 24,000
Z = (24,000 – 25,000)/1500
Z = -1000/1500
Z = -0.667
From the normal distribution table, Z= 0.667 = 0.2477
Φ(Z) = 0.2477
Recall that if Z is negative,
Pr (X˃a) = 0.5 + Φ(Z)
Pr (X˃24,000) = 0.5 + 0.2477
= 0.7477
Answer:
V = 4645.63 cubic m
Step-by-step explanation:
the drum is cylindrical and the formula for the volume of a cylinder is:
V = πr²h
V = π(6.5)²·35
V = 4645.63