Answer:
145.8 pounds
Step-by-step explanation:
So, if there is 9720 pounds total, and 98.5% of it must be pure paper, than 1 - .985 is how much can be impurities.
1-.985 = .015 or 1.5%
Now lets multiply .015 times 9720
.015(9720) = 145.8
The maximum weight of impurities is 145.8 pounds
Formula for area of a circle: A= C^2/ 4 π
A= 64^2/ 4 π
A= 4,096/ 4 π
A=3,216.99087728
A≈3,216
The area of the clock is about 3,216 inches
Answer:
see below
Step-by-step explanation:
If suffices to look at the last term. It must simplify to 4/(3w²), so the exponents of z must match in numerator and denominator, and the ratio of constants must reduce to 4/3.
The exponents of z have the right values in choices B and D, but the ratio of constants only matches in choice D. Looking at the rest of choice D, we see that we can factor 6w²z² from both numerator and denominator, then factor 2 from the remaining numerator to make it match the desired form.

Answer:
Step-by-step explanation:
Question assumed: Find the probability that the number x of correct answers is fewer than 4.
1) Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
2) Solution to the problem
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And we want to find this probability:
The distance (d) traveled by the airplane is the product of multiplying the speed (s) and the trip took (h). The equation is shown below,
d = s x h
Substitute the known values to the equation,
637.5 miles = (150 mile/ hour) x h
Manipulating the equation,
h = (637.5 miles) / (150 mile/ hr)
h is equal to 4.25 hours.