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lakkis [162]
3 years ago
7

The expression 1/3b−1/3 factored

Mathematics
1 answer:
Svetlanka [38]3 years ago
5 0
B/9 is your answer

have a good evening
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1- The Canada Urban Transit Association has reported that the average revenue per passenger trip during a given year was $1.55.
serg [7]

Answer:

0.5

0.9545

0.68268

0.4986501

Step-by-step explanation:

The Canada Urban Transit Association has reported that the average revenue per passenger trip during a given year was $1.55. If we assume a normal distribution and a standard deviation of 5 $0.20, what proportion of passenger trips produced a revenue of Source: American Public Transit Association, APTA 2009 Transit Fact Book, p. 35.

a. less than $1.55?

b. between $1.15 and $1.95? c. between $1.35 and $1.75? d. between $0.95 and $1.55?

Given that :

Mean (m) = 1.55

Standard deviation (s) = 0.20

a. less than $1.55?

P(x < 1.55)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.55 - 1.55) / 0.20 = 0

p(Z < 0) = 0.5 ( Z probability calculator)

b. between $1.15 and $1.95?

P(x < 1.15)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.15 - 1.55) / 0.20 = - 2

p(Z < - 2) = 0.02275 ( Z probability calculator)

P(x < 1.95)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.95 - 1.55) / 0.20 = 2

p(Z < - 2) = 0.97725 ( Z probability calculator)

0.97725 - 0.02275 = 0.9545

c. between $1.35 and $1.75?

P(x < 1.35)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.35 - 1.55) / 0.20 = - 1

p(Z < - 2) = 0.15866 ( Z probability calculator)

P(x < 1.75)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.75 - 1.55) / 0.20 = 1

p(Z < - 2) = 0.84134 ( Z probability calculator)

0.84134 - 0.15866 = 0.68268

d. between $0.95 and $1.55?

P(x < 0.95)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (0.95 - 1.55) / 0.20 = - 3

p(Z < - 3) = 0.0013499 ( Z probability calculator)

P(x < 1.55)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.55 - 1.55) / 0.20 = 0

p(Z < 0) = 0.5 ( Z probability calculator)

0.5 - 0.0013499 = 0.4986501

3 0
3 years ago
If the leg of a triangle is 48 and the hypotenuse is 60 what is the length of the other leg
AURORKA [14]

Answer:

The length of the other would be 36.

Step-by-step explanation:

a² + b² = c²

b² = c² - a²

b² = 60² - 48²

b² = 3600 - 2304

b² = 1296

√b² = √1296

b = 36

4 0
3 years ago
What is the solution to the system of equations?
Mazyrski [523]
Y= <span><span><span>−25 
   --------- x
       8
H
  O
     P
       E
              THIS HELPS!</span></span></span>
8 0
3 years ago
Please help. There is a strong positive linear correlation between the number of rainy days and the number of grapes produced on
irga5000 [103]
A strong positive linear correlation between the number of rainy days and the number of grapes produced on a grape plant, implies that: 
The more the rains the more the number of grapes produced per plant. Hence the answer is:
A] Yes. Since the number of rainy days and number of grapes produced are linearly correlated, this means a greater number of rainy days causes the grape plants to produce more.

3 0
3 years ago
The Hu family goes out for lunch, and the price of the meal is $59. The sales tax on the meal is 7%, and the family also leaves
Setler79 [48]
$71.98 is the total cost for the meal
  59.00
+  4.13
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======
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7 0
3 years ago
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