Underline the verb in parentheses that correctly completes the sentence by agreeing with the subject.
Not every traveler to these tropical paradises (focuses, focus) on animals.

Determine CH$_3$CN bond angles.

Find the equation of the line tangent to the graph off at the indicated value of x. $f(x)=\ln x^{3} ; x=e$

Tropical coral reef communities are among the most species-rich of any on Earth. Speculate on factors that might explain their diversity.

The marginal cost of a certain commodity is $C^{\prime}(x)=6 x^{2}-2 x+5,$ where x is the level of production. If it costs $500 to produce 1 unit, what is the total cost of producing 5 units?

When Thames acquires another firm, it allocates a portion of the purchase price to brand names, some of which it amortizes and some of which it does not amortize. How does Thames likely justify this different treatment of brand names?

You randomly select an integer from 1 to 100. State whether the events are mutually exclusive. Explain your reasoning. The integer is less than 50; the integer is greater than 40.

Let

$$S = A_1 ∪ A_2 ∪ ··· ∪ A_m$$

, where events

$$A_1, A_2, ...A_m$$

are mutually exclusive and exhaustive. a. If

$$P(A_1) = P(A_2) = ··· = P(A_m)$$

, show that

$$P(A_i) = 1/m$$

, i = 1, 2, ..., m. b. If

$$A = A_1 ∪ A_2 ∪ ··· ∪ A_h$$

, where h < m, and (a) holds, prove that P(A) = h/m.

What is the significance of Marlow’s leaving his steamboat to follow Kurtz to the bonfire in the forest?

The Larkspur Furniture Company needs a new grinder. Compute the present worth for these mutually exclusive alternatives and identify which you would recommend given i = 6% per year. Larkspur uses a 10-year planning horizon.

Five sixths of the 30 people who participated in the taste test preferred Brand X. The rest preferred Brand Y. a. How many more people preferred Brand X than preferred Brand Y? b. What was the ratio of the number of people who preferred Brand Y to the number who preferred Brand X?

"A die is rolled and the number showing is observed. Determine whether the events $E$ and $F$ are mutually exclusive. Then find the probability of the event $E \cup F$.

(a)

$E$ : The number is even

$F$ : The number is odd

(b)

$E$ : The number is even

$F$ : The number is greater than 4"

(a)What would be the relationship between the costs of the brand name products and the store brand products if a store constantly priced its generic "store brand" products at 80 % of the prices of the brand name products? (b)What would be the link between the costs of the store brand products and the brand name products if the retailer consistently priced its generic products  2 less than the corresponding brand name products?

Which biome is dry, cold and has frozen soil?