A)
150 were surveyed, possible outcomes, and 132 said they prefer dogs, favorable outcomes, 132/150 or 22/25 or 0.88, now 0.88 * 100 is just 88, namely 88% is the probability.
b)
since we know is 88%, what is 88% of 100? (88/100) * 100, 0.88 * 100, or just 88 students.
c)
18/150 or 3/25 or 0.12 namely 12%,
what's 12% of 300? (12/100) * 300, or 0.12 * 300, so just 36 students.
Answer: 2/35
Step-by-step explanation: First you have to find the minimun common multiplier (MCM). 5 and 7 are prime numbers (only divisible by one and themselves), so they MCM is the product of both, resulting in 5 times 7 equals 35. Now you find the equavilent equation to 1/7 and 1/5 to make them in 5/35 and 7/35, respectively. Finally the clear difference is 2/35. (7/35 - 5/35)
We have a ball with Volume=9203 cubic inches
V sphere =(4 pi r^3)/3
9203=4/3 * 3.14*r^3
9203*3=4*3.14*r^3
(9203*3)/4*3.14=r^3
r^3=27609/12.56=2198.16
r=∛2198.16=13
r=13
Answer: Expected number of tests = 5.013
Step-by-step explanation:
Define random variable X that marks the number of tests required for some certain
group. Observe that if the test is negative for all the people (which has probability 0.95), we make one and only one test. If some of the people is tested positive, we make ten additional tests for every person in that group separately. Hence, the expected number of tests will be for if they are all negative (1 test) and the case of at least one person testing positive (11 tests).
That Is,
E(X) = 1(0.95^10) + 11(1 - (0.95^10))
E(X) = 0.5987 + 4.414 = 5.013
let's bear in mind that there are, 5280 feet in 1 mile, and that there are 60 minutes in 1 hour and 60 seconds in 1 minute.
bear in mind that we can flip those fractions upside-down, as needed, and the rate remains, we'd flip them to cancel a unit.