Answer:
1/12
Step-by-step explanation:
Probability is a ratio derived as the number of possible outcomes divided by the total outcome.
On a number cube, the even sides are 2, 4 and 6. This means that the possible outcome for rolling an even is 3 while the total outcome is 6. Hence the probability of rolling an even P(E)
= 3/6
The probability of rolling a 4 P(4)
= 1/6 (4 appears on one side)
Hence the probability of rolling an even on the first roll and a four on the second roll
P(En4) = 3/6 * 1/6
= 3/36
= 1/12
Answer:
I drew it in the photo.
Step-by-step explanation:
In order to show a model of 2/6 divided by 1/12, we can draw 2 rectangles. In 1 rectangle, it would be divided into 6 sections with 2 shaded sections. In the other rectangle, it would be divided into 12 sections with 1 section shaded. We can show the division in a question: How many 1/12's fit into 2/6? 4 1/12's fit into 2/6.
The answer is the second option, 52°.
To find the answer, I plugged the different answer options into my calculator until I found the one that was equivalent to what the question was asking for.
Alternatively, you could take the inverse cosine of 0.616 to solve for the angle whose cosine is equivalent to that number.
Answer:
y = -(5/7)*x + 51/7
Step-by-step explanation:
First lets calculate the slope of the line passing through the points (-3,4) and (4,-1). This slope will be the same to the line that passes through (-1,8) since they are parallel. Finally we will determine the equation of the line which passes through that point.
m= (-1-4)/(4-(-3)) = -5/7
y-8/(x-(-1)) = -5/7
y-8 = (-5/7)*x -5/7
y= -5/7 *x - 5/7 + 8
y= -5/7 *x -5/7 + 8 = -5/7 *x + ((56 -5)7) = -5/7 * x + 51/7