When dividing fractions, we follow a rule called "Keep, change, flip"
Basically, you keep the first fraction the same, change the sign to a multiplication sign, and flip the second fraction.
2 = 2/1
7 * 1 + 6 = 13
2/1 * 7/13 = 14/13 = 1 1/13
2 divided by 1 6/7 = 1 1/13
3 3/5 = 18/5
2 1/4 = 9/4
18/5 * 4/9 = 72/45 = 8/5 = 1 3/5
3 3/5 divided by 2 1/4 = 1 3/5
4 1/2 = 9/2
2 3/8 = 19/8
9/2 * 8/19 = 72/38 = 36/19 = 1 17/19
4 1/2 divided by 2 3/8 = 1 17/19
<span>The
value of the determinant of a 2x2 matrix is the product of the top-left
and bottom-right terms minus the product of the top-right and
bottom-left terms.
The value of the determinant of a 2x2 matrix is the product of the top-left and bottom-right terms minus the product of the top-right and bottom-left terms.
= [ (1)(-3)] - [ (7)(0) ]
= -3 - 0
= -3
Therefore, the determinant is -3.
Hope this helps!</span>
a. "Chocolate" and "Adults" (whatever those mean) will be independent as long as
"Chocolate" has the marginal distribution given by the second column, with a total probability of
. Similarly, "Adults" has the marginal distribution described by the third row, so that
. Then
Meanwhile, the joint probability of "Chocolate" and "Adults" is given by the cell in the corresponding row/column, with
.
The probabilities match, so these events are indeed independent.
Parts (b) and (c) are checked similarly.
b. Yes;
c. Yes;
Answer:
The answer is AC = 3.76
Step-by-step explanation:
CohCahToa
Coh: sin(theta) = Opp/Hyp
sin(theta°) = AC/AB
sin(70°) = AC/4
AC = 4*sin(70°)
AC ≈ 3.758770483
AC = 3.76
The unit circle is represented below:
As can be observed in the figure above, for an angle (t), the relation between the trigonometric functions and x and y components is:
x = cos(t)
y = sen(t)
x is positive in the first and in the fourth quadrant. Thus, cos (t) will be positive for angles in the first and fourth quadrant.
y is positive in the first and in the second quadrant. Thus, sin (t) will be positive for angles in the first and second quadrant.
