The probability that the first success occurs on the third trial is 0.125.
Answer: Option C
<u>Step-by-step explanation:</u>
The probability of success is given by the geometric distribution formula:

Where,
p = probability of success for single trial.
q = probability of failure for a single trial (1-p)
x = the number of failures before a success.
P(X = x) = Probability of x successes in n trials.
<u>Given:
</u>
p = 19% = 0.19
q = 1 – p = 1 – 0.19 = 0.81
x = 3
We want to find the probability that the first success occurs on the third trial so,



Well because there's and equal amount on each of the 8 pages, you'd do 128/8 which will show that there's 16 stamps per page.
Answer:
x = 17.3
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 25 = x /41
41 sin 25 = x
17.32734=x
Rounding to the tenths place
x = 17.3
Answer:
6
Step-by-step explanation:
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You must travel at 42 mph for 4 hours
<em><u>Solution:</u></em>
Time varies inversely as rate of motion
Let "t" be the time required
Let "r" be the rate of motion
Then, we get

Where, "k" is the constant of proportionality
<em><u>You travel 3 hours at a rate of 56 mph</u></em>
Substitute t = 3 and r = 56 in eqn 1

<em><u>Find the rate you must travel for 4 hours</u></em>
r = ? and t = 4
Substitute t = 4 and k = 168 in eqn 1

Thus you must travel at 42 mph for 4 hours