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3 years ago

Write the expression as a single logarithm PLEASE (log3-log4)-log2

1 answer:

4 0

$\bf \textit{Logarithm of rationals} \\\\ \log_a\left( \frac{x}{y}\right)\implies \log_a(x)-\log_a(y) \\\\[-0.35em] \rule{34em}{0.25pt}\\[1em] [\log(3)-\log(4)]-\log(2)\implies \log\left( \cfrac{3}{4} \right)-\log(2)\implies \log\left( \cfrac{\frac{3}{4}}{~~2~~} \right) \\\\\\ \log\left( \cfrac{\frac{3}{4}}{~~\frac{2}{1}~~} \right)\implies \log\left( \cfrac{3}{4}\cdot \cfrac{1}{2} \right)\implies \log\left( \cfrac{3}{8} \right)$

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What are the differences between continuous and non-continuous growth?

Crank

A continuous go on forever a non-continuous stop at a point

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3 years ago

Suppose that 80 percent of all statisticians are shy, whereas only 15 percent of all economists are shy. Suppose also that 90 pe

Anna71 [15]

Answer:

37.21% probability that the person is a statistician.

Step-by-step explanation:

We have these following probabilities:

An 80% probability that a statistican is shy.

A 15% probability that an economist is shy.

At the gathering, a 90% probability that a person is an economist.

At the gathering, a 10% probability that a person is a statistican.

If you meet a shy person at random at the gathering. What is the probability that the person is a statistician?

This can be formulated as the following question:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

$P = \frac{P(B).P(A/B)}{P(A)}$

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

What is the probability that the person is a statistican, given that he is shy?

P(B) is the probability of the person being a statistican. So P(B) = 0.1.

P(A/B) is the probability of a statistican being shy, so P(A/B) = 0.8.

P(A) is the probability of a person being a shy. This is 15% of 90%(economists) and 80% of 10%(statisticans). So

$P(A) = 0.15*0.9 + 0.8*0.1 = 0.215$

Finally

$P = \frac{P(B).P(A/B)}{P(A)}$

$P = \frac{0.1*0.8}{0.215} = 0.3721$

37.21% probability that the person is a statistician.

3 0

3 years ago

Tom saves $750 a year. Bill saves $60 a month. How much more does Tom save a year than Bill?

Contact [7]

Answer:

$30

Step-by-step explanation:

T = 750

B = 60(12)

T - B = X

750 - 720 = 30

3 0

3 years ago

Read 2 more answers

Use the elimination method to solve the system of equations. Choose the

zvonat [6]

Answer:

x = 5

y = 7

Step-by-step explanation:

See the image that I have added to you above to get the whole working.

7 0

3 years ago

The cafeteria bought 200 French bread pizzas for lunch next week. If they had bought the pizza last week while it was on sale, i

Zina [86]

Answer:

$356

Step-by-step explanation:

To solve this problem, use this: (200 * 3.78) - (200 * 2)

(200 * 3.78) - (200 * 2)

200 * 3.78 is the same as 2 * 378, which is 756.

756 - (200 * 2)

200 * 2 is the same as 4 * 100, which is 400.

756 - 400

Subtract 400 from 756 to get 356.

356

If they brought the pizza last week, the school could have saved $356.

3 0

3 years ago