(2x + 6) ÷ 2 - 3
= 2(x+3) ÷ 2 - 3
= x + 3 - 3
= x
Answer:
the probability that a randomly selected South African man is taller than 72 inches is 0.2266
Step-by-step explanation:
The heights of South African men are Normally distributed with a mean of 69 inches and a standard deviation of 4 inches
population mean(m) = 69 inches
population standard deviation(s) = 4 inches
Therefore, the number of standard deviation above mean (z score) = (x - m)/s
In this case, x = 72 inches
z score = (72 - 69)/4 = 3/4 = 0.75
Probability that a randomly selected South African man is taller than 72 inches P(x>72) = 1 - P(x<72) = 1 - z(0.75) using the z table,
P(x>72) = 1 - 0.77337 = 0.2266
therefore, the probability that a randomly selected South African man is taller than 72 inches is 0.2266
Answer:
Step-by-step explanation:
22.75/6 boxes is $3.79 per box
30/8 boxes is $3.75 a box
38/10 boxes is $3.80 a box
68/18=3.70 a box if you combine the last two.
So no, the 6 boxes at $3.79 a box is not a better buy.
Answer:
1) 3:15 hours.
2) 68 km per hour.
Step-by-step explanation:
Since a bus from Nantes at 3:50 p.m. and arrives at Tours at 7:05 p.m. after having traveled 221km, to calculate the journey time in hours and minutes and calculate the average speed of this bus, the following calculations must be performed:
1) 7:05 - 3:50 = 3:15
Thus, the duration of the trip was 3 hours and 15 minutes
2) 0:15 = 0.25
221 / 3.25 = X
68 = X
Thus, the average speed of the bus was 68 km per hour.
Answer:
Step-by-step explanation:
Since the journey initially costs $2 (this will be our y-intercept), and the variable (x) is $1 for every additional kilometer. This can be modelled as...
y=1x+2
(i) if we want to know the cost of what 3.5 km would cost, we simply plug it into our equation...
y=1(3.5)+2
Answer: $5.5
(ii) For this question you can set the y value equal to 6 and plug in a random number for x until you get 6 on both sides. In this case...
6=1x+2
6=1(4)+2
The distance traveled if the fare was $6 is 4km
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