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Juliette [100K]
3 years ago
12

Expand each logarithm using the properties of logarithms.

Mathematics
1 answer:
lora16 [44]3 years ago
6 0
A.  = logb (3/7)^1/2
      = logb  3^1/2 - logb 7^1/2
      = 1/2(logb 3 - logb 7)

b.  =  log 7x^3 + log y^5
      = log 7 + log x^3 + log y^5
      = log 7 + 3 log x + 5 log y
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Answer:

43

Step-by-step explanation:

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The low temperature in degrees Fahrenheit for 5 days was – 5, – 7, – 2, 2, and – 3. What was the average low temperature for tho
sammy [17]

Answer:

-3

Step-by-step explanation:

To find the average of different numbers, first you add them all up. So -5+-7+-2+2+-3+=-15. Then, you divide the sum of all the numbers by the amount of numbers there were. So in this case, there were 5 numbers so we would divide the sum of all of them by 5. So now we do -15/5=-3.

Another example of finding the average of numbers is 15+4+10+9+3+1. So first we add them up and we get 42, then again, we divide by the amount of numbers there are. So we do 40/6 and we get 7, so the average is 7.

I hope this helped.

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4 years ago
Yahoo creates a test to classify emails as spam or not spam based on the contained words. This test accurately identifies spam (
Amiraneli [1.4K]

Answer and Step-by-step explanation:

The computation is shown below:

Let us assume that

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And, test spam positive be T

Given that

P(S) = 0.3

P(\frac{T}{S}) = 0.95

P(\frac{T}{S^c}) = 0.05

Now based on the above information, the probabilities are as follows

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ii. P(\frac{S}{T}) = \frac{P(S\cap\ T}{P(T)}

= \frac{P(\frac{T}{S}) . P(S) }{P(\frac{T}{S}) . P(S) + P(\frac{T}{S^c}) . P(S^c) }

= \frac{0.95 \times 0.3}{0.95 \times 0.3 + 0.05 \times 0.7}

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iii. P(\frac{S}{T^c}) = \frac{P(S\cap\ T^c}{P(T^c)}

= \frac{P(\frac{T^c}{S}) . P(S) }{P(\frac{T^c}{S}) . P(S) + P(\frac{T^c}{S^c}) . P(S^c) }

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We simply applied the above formulas so that the each part could come

8 0
3 years ago
Going against the current, a boat takes 6 hours to make a 120-mile trip. When the boat travels with the current on the return tr
alexandr402 [8]

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3 years ago
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Answer:

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6 0
3 years ago
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