Answer:
48 is 8 times as many as 6.
4 times as many as 12 is 48.
1.75 is 14 times as many as 8.
Step-by-step explanation:
Probabilities are used to determine the likelihood of events
The value of the probability P(thinking of a song)P(turn on the radio and hear the song) is 0.056
<h3>How to estimate the probability</h3>
To calculate the probability, we make use of the following representations:
- Event A represents the likelihood of thinking of a song
- Event B represents the likelihood of turning on the radio and hearing the song
So, we have:
P(thinking of a song)P(turn on the radio and hear the song) = P(A) * P(B)
Assume that:
P(A) = 0.12 and P(B) = 0.47
So, we have:
P(thinking of a song)P(turn on the radio and hear the song) = 0.12* 0.47
Evaluate the product
P(thinking of a song)P(turn on the radio and hear the song) = 0.0564
Approximate
P(thinking of a song)P(turn on the radio and hear the song) = 0.056
Hence, the value of the probability P(thinking of a song)P(turn on the radio and hear the song) is 0.056
Read more about probabilities at:
brainly.com/question/25870256
Answer:
x>-2
Step-by-step explanation:
x-4x<5x+16
Subtract 5x from both sides:
x-4x-5x<16
Combine like terms:
-8x<16
Divide both sides by 8:
-x<2
Divide both sides by -1:
x>-2
Hope this helps!
Answer:
see explanation
Step-by-step explanation:
If A +B = 45° then tan(A+B) = tan45° = 1
Expanding (1 + tanA)(1 + tanB)
= 1 + tanA + tanB + tanAtanB → (1)
Using the Addition formula for tan(A + B)
tan(A+B) = 
= 1 ← from above
Hence
tanA + tanB = 1 - tanAtanB ( add tanAtanB to both sides )
tanA + tanB + tanAtanB = 1 ( add 1 to both sides )
1 + tanA + tanB + tanAtanB = 2
Then from (1)
(1 + tanA)(1 + tanB) = 2 ⇒ proven
Answer:
If the area of a square = 4cm^2
then the side length of = √4 = 2 cm
