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Goryan [66]
3 years ago
15

Rewrite the following in the form log (c). 4 log(5)

Mathematics
1 answer:
Murljashka [212]3 years ago
5 0

Answer:

Step-by-step explanation:4log(5) = log(5^4) = log(625).

This problem involves using one of the properties of logs, where a coefficient (in this case the "4") for a logarithm equals the "inside of a logarithm" raised to power of whatever number the coefficient is.

The property in mathematical terms is:    Alog(B) = log(B^A).

So, 4log(5)= log(5^4) = log(625)

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This year the CDC reported that 30% of adults received their flu shot. Of those adults who received their flu shot,
Vlad [161]

Using conditional probability, it is found that there is a 0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.

Conditional Probability

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

  • P(B|A) is the probability of event B happening, given that A happened.
  • P(A \cap B) is the probability of both A and B happening.
  • P(A) is the probability of A happening.

In this problem:

  • Event A: Person has the flu.
  • Event B: Person got the flu shot.

The percentages associated with getting the flu are:

  • 20% of 30%(got the shot).
  • 65% of 70%(did not get the shot).

Hence:

P(A) = 0.2(0.3) + 0.65(0.7) = 0.515

The probability of both having the flu and getting the shot is:

P(A \cap B) = 0.2(0.3) = 0.06

Hence, the conditional probability is:

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.515} = 0.1165

0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.

To learn more about conditional probability, you can take a look at brainly.com/question/14398287

7 0
2 years ago
Solve using elimination.<br><br> 8x − 7y = –5<br> –x + 4y = –15
xz_007 [3.2K]
Steps
8x−7y=−5
Add 7y to both sides
8x−7y+7y=−5+7y
Simplify
8x=−5+7y
Divide both sides by 8
8x
8 =−
5
8 +
7y
8
Simplify
x=
−5+7y
8

7 0
3 years ago
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bonufazy [111]
Ken grew .425 of an inch more than sang because 4/5 is .8 and 3/8 is .375 what you do is you take those two numbers and subtract the smaller one from the bigger one and you get .425 and ken had the bigger growth. plz rate me brainliest
7 0
3 years ago
Read 2 more answers
1 + y &lt; 25<br> 101 + 6y &gt; 200
vlada-n [284]

Step-by-step explanation:

i.1+y<25

y<25-1

y<24

ii.101+6y>200

6y>200−101

6y>99

y>99/6

y>33/2

5 0
3 years ago
Work out x when the area is root 4 2^2 and angle C is 45 and ab are (x+2)(2x-3)
aleksandrvk [35]

Answer:

  • x = 2.41

Step-by-step explanation:

<u>Area formula:</u>

  • A = 1/2bh

<u>The height is:</u>

  • h = (x + 2)sin 45° = √2(x + 2)/2

<u>Substitute the area value an set an equation:</u>

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  • D = 1 + 4*2*14 = 113
  • x = (-1 + √113)/4 = 2.41 (rounded)    

Note. the second root ignored as negative

7 0
2 years ago
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