Answer:
Step-by-step explanation:
First, we change both denominators to the LCM (lowest common multiple) which is 8.
Since the denominators are the same, we can add the numerators.
or it can be written as
For each number,there is a 16 probability of rolling it (so 16 for the 1 and also 16 for the 4)
Answer:
A, B, C, E
Step-by-step explanation:
It can be seen from the figure that the points A, B, C and D, all are lying in the line t.
=> So that it can be concluded that AC and BC and BD have the slopes which are equal to each other and also equal to the slop of line t
So that all answer A, B, C are true.
In addition, as FD is parallel with x - axis, so that slope of the line t is equal to <em>tan angel FDB </em>
As FDB is the right triangle with BFD = 90°
=> tan angel FDB = FB/ FD (tan of an acute angel in the right triangle = opposite side/ adjacent side)
=> Slope of the line t is equal to FB/ FD
=> Answer E is true
Answer:
Not independent
Explanation:
Two events are not independent/dependent if the result of one event affects the outcome of the other. In the case above, numbers are picked without replacement, therefore if one slip is picked then the other slip will be picked(slips are picked only once not twice or more as in independent events). Events would be independent if there was a replacement.
Answer:
x = 41.67
Step-by-step explanation:
The above equation, would be simplified or divided into parts;
Therefore, the given equation becomes;
A/x = B/C
Where;
A = (15.2*0.25-48.51/14.7)
B = (13/44-2/11-5/66/2.50)1.2
C = 3.2+0.8(5.5-3.25)
x = unknown variable.
<u>Part A</u>
(15.2*0.25-48.51/14.7) = (15.2*0.25 - 3.3)
A = (3.8 - 3.3)
A = 0.5
<u>Part B</u>
(13/44-2/11-5/66/2.50)1.2 = (0.3 - 0.18 - 0.030) * 1.2
B = 0.09 * 1.2
B = 0.108
<u>Part C</u>
(3.2+0.8(5.5-3.25)
C = 4*(2.25)
C = 9
<em>Substituting the values into the equation, we have;</em>
0.5/x = 0.108/9
<em>Cross-multiplying, we have;</em>
9 * 0.5 = 0.108x
4.5 = 0.108x
x = 4.5/0.108
x = 41.67
