Answer:
P ( x_bar > 335 ) = 0.9826
Step-by-step explanation:
Given:
- Mean amount u = 350
- standard deviation s.d = 45/year
- Sample size n = 40
Find:
- The probability of sample mean P( x_bar > 335 )
Solution:
- P ( x_bar > 335 ) = P ( Z > sqrt(n)*(x_bar - u)/s.d)
= P ( Z > sqrt(40)*(335-350)/45)
= P ( Z > -2.111) = P ( Z < 2.111)
= 0.5 + P( 0 < Z < 2.111)
= 0.5 + 0.4826
= 0.9826
Answer:
22.5 miles
Step-by-step explanation:
No traffic :
Let speed = x
Time taken = 30 = 30/60 = 0.5 hour
Speed = distance / time
Distance = d
x = d / 0.5 - - - (1)
With traffic :
Speed = x - 30
Time taken = 1 hour 30 minutes = 1.5 hour
x - 30 = d / 1.5
x = d/1.5 + 30 - - - - (2)
Equating (1) and (2)
d / 0.5 = d/1.5 + 30
d /0.5 - d /1.5 = 30
(1.5d - 0.5d) / 0.75 = 30
1.5d - 0.5d = 22.5
1d = 22.5
Hence,
d = 22.5 miles
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This question directs the user to paste a string of text into a browser and explain what happens.</span>
This is an isosceles right triangle (AB = BC & ∠ B=90° - Given)
Then the angles at the base are equal and ∠ CAB = ∠ ACB = 45°
Theorem: Segment DE, joining the midpoints of 2 sides is:
1st) parallel to the 3rd side and
2nd) equal to half the measurement of the 3rd side
So if the 3rd side (hypotenuse) = 9 units, DE = 9/2 = 4.5 units
