Answer:
a) 0.02275
b) 0.4515
Step-by-step explanation:
Data provided in the question:
Mean = 500
Standard deviation, s = 100
Now,
a) More than 700
z score = [ X - mean ] ÷ s
= [700 - 500 ] ÷ 100
= 2
P(More than 700) = P(z > 2 )
or
P(More than 700) = 0.02275 [ from standard z vs P table ]
b) Between 440 and 560
z score for X = 440
= [440 - 500 ] ÷ 100
= - 0.6
z score for X = 560
= [560 - 500 ] ÷ 100
= 0.6
Now,
P( Between 440 and 560 ) = P (z < 0.6 ) - P( z < -0.6 )
thus,
P( Between 440 and 560 ) = 0.7257469 - 0.2742531
= 0.4515
Answer:
a) 48 routes
b) 6 routes.
Step-by-step explanation:
a. How many routes from North Point to Star Lake pass through Beaver Dam?
North Point -> Boulder Creek(3)
Boulder Creek -> Beaver Dam(4)
Beaver Dam -> Star Lake(4)
Multiplying:
3*4*4 = 48 routes.
b. How many routes from North Point to Star Lake bypass Beaver Dam?
North Point -> Boulder Creek(3)
Boulder Creek -> Star Lake(2)
3*2 = 6 routes.
- Step-by-step explanation:
12g +21 and3(4g +7)
12g + 21 and( 3×4g=12g+3×7=21)
12g+21 and 12g+21,,
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