Answer:
a) 0.9964
b) 0.3040
Step-by-step explanation:
Given data:
standard deviation = $90,000
Mean sales price =$345,800
sample mean = $370,000
Total number of sample = 100
calculate z score for [/tex](\bar x = 370000)[/tex]
z = 2.689
P(x<370000) = P(Z<2.689)
FROM STANDARD NORMAL DISTRIBUTION TABLE FOR Z P(Z<2.689) = 0.9964
B)
calculate z score for (\bar x = 350000)
z = 2.133
FROM NORMAL DISTRIBUTION TABLE Z VALUE FOR
SO, = 0.9836 - 0.6796 = 0.3040
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Let:
v = Olga's speed
t = the time Anna spent going to school (3 km/hour)
t/2 = the time Anna spent running back home with speed of 6 km/hour
So, t + t/2 = 3t/2 is the total time
In the meantime distance = speed*time and the both made the same distance we can put it as:
3t + 6*(t/2) = (3t/2)*v
6t = (3/2)tv divide both sides by t
(3/2)v = 6
v = 2*6/3
v = 4 km/hour
Olga's speed was 4 km/hour.
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27x^3 - 12x factors into
3(9x^3 - 4x) a common factor of three has been taken out.
3x(9x^2 - 4) a common factor of x has been taken out. 3x is not a linear factor.
9x^2 - 4 factors by means of the difference of squares
3x(3x - 2)(3x + 2)
The two linear factors are 3x - 2 and 3x + 2
