Franklin rolls a pair of six-sided fair dice with sides numbered 1 through 6.
2 answers:
Answer:
11/18
5/9
Step-by-step explanation:
Make a table showing all the possible sums for two dice:
Of the 36 possible sums, 18 are even, 7 are multiples of 5, and 3 are both even and multiple of 5. So the probability is:
P(even or multiple of 5) = (18 + 7 − 3) / 36 = 22/36 = 11/18
Of the 36 possible sums, 12 are multiples of 3, 9 are multiples of 4, and 1 is a multiple of both 3 and 4. So the probability is:
P(multiple of 3 or 4) = (12 + 9 − 1) / 36 = 20/36 = 5/9
You might be interested in
Answer:
Step-by-step explanation:
step 1
Find the circumference of the wheel
The circumference of a circle is equal to
we have
substitute
assume
step 2
we have that
The speed of the car is 60 miles/hour
Convert the speed to inches/minute
step 3
Remember that
The circumference of the wheel subtends one revolution
so
Convert the speed to rev/min
Answer:
The 99% confidence interval is (0.0787, 0.1613).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.
In which
Z is the zscore that has a pvalue of .
For this problem, we have that:
The survey included 411 adults between the ages of 55 and 64, and 50 of them said that they had used online dating. This means that
The 99% confidence interval is
So , z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:
The upper limit of this interval is:
The 99% confidence interval is (0.0787, 0.1613).