We all are familiar with (x,y) coordinate plane where some lines or curves are drawn. These curves are drawn or made up using some (x,y) points. These values of (x,y) points satisfy the equation of curves.
The equation of x and y variables is called a Relationship. Now, a Function is a "special relationship of x and y variables" where each input x has a single answer for output y.
In other words, we can say any relation y=f(x) would be a "Function" if and only if each value of x input give us a unique value of y output from the equation. No two values of y can be output of same x-value input.
For example:- y = f(x) = 2x is a Function because each value of x would give unique answer for y. x=4 gives y=8.
Another example is:- y = f(x) = √x is "not a function" because one-value of x would give two answers of y. x=4 gives y= -2 and y=2.
Answer:
53/66
Explanation:
We can use complementary counting to find the probability of picking the outcomes we don't want, and then subtracting that from the whole. The outcomes we don't want are PPPP and PPPN.
Probability of picking PPPP: 5/11 * 4/10 * 3/9 * 2/8 = 120/7920 = 1/66
Probability of picking PPPN: 5/11 * 4/10 * 3/9 * 6/8 = 360/7290 = 3/66
We can arrange PPPN in four different ways (PPPN, PPNP, PNPP, NPPP) so we need to multiply by 4, giving 12/66.
The total of these two probabilities is 13/66. Subtracting from 66/66, the answer is 53/66.
Answer:
10option a 10
11option d √58
12option b 16
13option d 68
14option a 16
Step-by-step explanation:
To solve all these questions we will use trigonometry identity which says that
<h3>
10)</h3>
TanФ = opp / adj
Tan (b) = 2/11
b = tan^-1(2/11)
b = 10.30
≈ 10
<h3>11) </h3><h3>hypotenuse² = height² + base²</h3>
Bc² = 3² + 7²
BC = √3²+7²
BC =√58
<h3>12)</h3>
sin(30) = opp/ hypo
sin(30) = 8 / pq
pq = 16
<h3>13)</h3>
tanB = opp / adj
B = tan^-1(17/7)
B = 67.7 ≈ 68°
<h3>14)</h3>
sin(7) = opp / hyp
sin(7) = 2/x
x = 2/sin(7)
x = 16 miles