Answer:
6 mph
Step-by-step explanation:
Difference in distance
= 15 - 12
= 3 mi
time taken
= 30 mins
= 1/2 hour
Speed
= 3 ÷ 1/2
= 6 mph
1×5 or 5×1 would be a factual of it
Find logarithm of both sides
log (3^x) = log 8
xlog3 = log8
x = log8/log3
x = 1.893
Answer:
a) 98.01%
b) 13.53\%
c) 27.06%
Step-by-step explanation:
Since a car has 10 square feet of plastic panel, the expected value (mean) for a car to have one flaw is 10*0.02 = 0.2
If we call P(k) the probability that a car has k flaws then, as P follows a Poisson distribution with mean 0.2,
a)
In this case, we are looking for P(0)
So, the probability that a car has no flaws is 98.01%
b)
Ten cars have 100 square feet of plastic panel, so now the mean is 100*0.02 = 2 flaws every ten cars.
Now P(k) is the probability that 10 cars have k flaws and
and
And the probability that 10 cars have no flaws is 13.53%
c)
Here, we are looking for P(1) with P defined as in b)
Hence, the probability that at most one car has no flaws is 27.06%
Answer: 
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:

Where "m" is the slope and "b" is the y-intercept.
You need to find slope of the line with the formula:

Pick to points of the given line. You can choose the point (60,3) and the point (30,2).
Then, substituting into the formula:

You can observe in the graph that the line intercepts the y-axis at the point (0,1), therefore "b" is:

Substituting the slope and the y-intercept found into
, you get the equation of this line:

Where "y" represents the Height (1,000 ft) and "x" represents the Time in seconds.