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1. A bag contains three red marbles, four green ones, one lavender one, two yellows, and six orange marbles. HINT [See Example 7.]
How many sets of four marbles include one of each color other than lavender?
2. A and B are mutually exclusive. P(A) = .7, P(B) = .1. Find P((A ∪ B)').
3. Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing three red marbles, three green ones, two white ones, and two purple ones. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms. HINT [See Example 1.]
She has all the red ones.
A man 6 ft tall walks at a rate of 5 ft/s away from a lamppost that is 23 ft high. At what rate is the length of his shadow changing when he is 60 ft away from the lamppost?
the average of freshman college students is 18.5 years with a standard deviation 0.4 years.a. let x denote the mean
Find a basis for the subspace spanned by the given vectors.
Construct a niche overlap graph for six species of birds, where the hermit thrush competes with the robin and with the blue jay.
Show that the following family is not complete by finding at least one nonzero function u(x) such that E[u(X)]=0, for all theta >0.
The median income is approximately linear and is a function of time. Find a formula for the median income, I, as a function of the year t, where t is the number of years since 1900. Source: U.S Census Bureau.
Deduce from Hadamard's theorem that if F is entire and of growth order ρ that is non-integral, then F has infinitely many zeros.
A local theater charges $8 for adults and $5 for children. at the noon performance, there were twice as many children as adults and the total money collected was $576. How many children attended the show?
In 1990 humans generated 1.4 · 10(20) joules of energy from petroleum. At the time, it was estimated that all of the earth's petroleum would generate.
a. Find the population density of the country, to the nearest tenth, in 1940 AND in 2000. b. Find the percent increase in population density, to the nearest tenth of a percent, from 1940 to 2000.
In Figure, shade the region whose area represents the total amount of water that leaks out in the first two hours.
bendix fertilizer company has two plants-one in la and the other in atlanta. recent customer complaints suggest that
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