The remainder of 6728 divided by 70 is 8, This is because when 6728 is divided by 70, 70 goes into 6728, 96 times evenly. And there is only 8 left.
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:
see explanation
Step-by-step explanation:
The y- intercept is at (0, 6) ⇒ c = 6
The x- coordinate of the vertex is at the midpoint of the zeros, that is
m = 
= 
= - 2
Since the zeros are x = - 3 and x = - 1 then the factors are (x + 3), (x + 1) and
f(x) = a(x + 3)(x + 1) = a(x² + 4x + 3)
Comparing with f(x) = ax² + 8x + 6 ⇒ a = 2
Thus
f(x) = 2x² + 8x + 6
Substitute m = - 2 into the equation for value of n
n = 2(- 2)² + 8(- 2) + 6 = 8 - 16 + 6 = - 2
Hence
c = 6, m = - 2, a = 2, n = - 2
Answer:
1824 in.
Step-by-step explanation:
First find the area of the two shapes you split that are the rectangle and triangle:
Rectangle Area:
48 * 32 = 1536
Area- 1536 in.
Triangle Area:
48 * 12 * 1/2
or
48 * 12 divided by 2
= 288 in.
Now add the two areas up:
1536 + 288 = 1824 in.
Answer: 0.12
Step-by-step explanation:
The expected number of accidents is a weighted average of the potential number of accidents and their probabilities:
= (0 * 0.935) + (1 * 0.03) + (2 * 0.02) + (3 * 0.01) + (4 * 0.005)
= 0.12
