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Daniel [21]
4 years ago
7

Anita works at a local news station and needs to decide which news story to report first. Of the news stories, 3 are local, 4 ar

e international, and 5 national. The stories are equally important so anita randomly orders the stories. What is the probability that the first story is a national story. Give your answer as a fraction
Mathematics
1 answer:
Alexxx [7]4 years ago
7 0
Answer: 5/12

In order to solve this, you would add up all of the news stories she has and then put the number of national stories on top of the total news stories to give you 5/12. (There’s a total of 12 news stories and 5 of them are national.)
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Marymount Township secured the construction of a power plant, which opened in 1990. Once the power plant opened
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Answer:

92087,14873

Step-by-step explanation:

Given that Marymount Township secured the construction of a power plant, which opened in 1990. Once the power plant opened  in 1990, the population of Marymount increased by about 20% each year for the first ten years and then increased by  5% each year after that

Let P0 be the population in 1990

Then we have in 2000 the population is

P(2000) = P_0(1.2)^{10}

with this initial population for next growth we have in 2010 the population would be

P(1.05)^{10}, where P = population is 2000

a) Given that P(1.05)^{10) = 150000\\P = 150000(1.05)^{-10} =92.086.99\\=92087

b) we use the exponential equation and solve for initial population in 2000.

c) we have

P_0(1.2)^{10} =92087\\P_0 = 92087((1.2)^{-10})\\=14872.56\\=14873

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Sin(A+B)/sin A cos B<br> = 1 + cot A tan B<br> how to verify the identity?
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Answer:

see explanation

Step-by-step explanation:

Using the identities

sin(A + B) = sinAcosB + cosAsinB

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Consider the left side

\frac{sin(A+B)}{sinAcosB}

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= \frac{sinAcosB}{sinAcosB} + \frac{cosAsinB}{sinAcosB}

= 1 + \frac{cosA}{sinA} . \frac{sinB}{cosB}

= 1 + cotA tanB = right side , thus verified

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