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sergij07 [2.7K]
3 years ago
9

Use the definition of the logarithmic function to find x. log4 0.25=x x=?

Mathematics
1 answer:
GREYUIT [131]3 years ago
5 0
The answer is -1.

log_4(0.25)  =log_4( \frac{1}{4})= log_4(4^{-1} ) \\  \\ 
log(x^{a} ) = a*log(x) \\  \\ 
log_4(4^{-1} )= -1 *log_4(4) \\  \\ 
log_y(x) =  \frac{log(x)}{log(y)}  \\  \\ 
-1 *log_4(4) = -1* \frac{log(4)}{log(4)} = -1
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In an examination 80% students passed. if 15 less have appeared and 10 less have passed, the ratio of passers to failures would
Nina [5.8K]

Answer:

60 students passed, and 75 appeared in examination.

Step-by-step explanation:

Let's say s is the total number of students and p is the number of students who passed.

80% of the students passed, so:

0.8 s = p

If there were 10 less passers, and 15 less students (5 less failures), then the ratio of passers to failures would be 5/1.

(p − 10) / (s − p − 5) = 5 / 1

Simplify the second equation:

p − 10 = 5 (s − p − 5)

p − 10 = 5s − 5p − 25

6p = 5s − 15

Substitute the first equation.

6 (0.8 s) = 5s − 15

4.8 s = 5s − 15

0.2 s = 15

s = 75

p = 0.8 s

p = 60

60 students passed, and 75 appeared in examination.

5 0
3 years ago
Hey can you please help me posted picture of question
mote1985 [20]
Two events are occurring:

1) Rolling a die
Sample Space = {1,2,3,4,5,6}
Total number of outcomes in sample space = 6
Favorable outcomes = Odd number
Number of Favorable outcomes = 3

Probability of getting an odd number = 3/6 

2) Tossing a coin
Sample Space = {H, T}
Probability of getting a head= 1/2

The probability of getting odd number and head will be the product of two probabilities, which will be = 3/6 x 1/2 = 3/12 

Thus there is 3/12 = 1/4 (0.25 or 25%) probability of getting an odd number and a head in given scenario. 

So correct answer is option C

4 0
3 years ago
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pashok25 [27]

Answer:

50

Step-by-step explanation:

70+60 =130

180-130 = 50 degrees

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3 years ago
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Contact [7]

Answer: KJ becuase it is the first two like on but put backwards.

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The cost of printing a catalog of the products that your company distributes is a flat rate of $52 plus $0.20 per copy. Let C re
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Answer:

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Step-by-step explanation:

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3 years ago
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