Answer:
a) 0.37
b) 0.421
c) 0.25
Step-by-step explanation:
Since the probability of winning a game is binomial (P = 0.5) the expected value for number of winning when you play 60 games is
And the standard deviation:
a) the cumulative probability of winning at least 35 games is
b)
c)
trapezoid PSTK with ∠P=90°, KS = 13, KP = 12, ST = 8
<h3>Find</h3>the area of PSTK
<h3>Solution</h3>It helps to draw a diagram.
∆ KPS is a right triangle with hypotenuse 13 and leg 12. Then the other leg (PS) is given by the Pythagorean theorem as
... KS² = PS² + KP²
... 13² = PS² + 12²
... PS = √(169 -144) = 5
This is the height of the trapezoid, which has bases 12 and 8. Then the area of the trapezoid is
... A = (1/2)(b1 +b2)h
... A = (1/2)(12 +8)·5
... A = 50
The area of trapezoid PSTK is 50 square units.
Answer:
Domain: {-6, -1, 7}
Range: {-9, 0, 9}
The relation is not a function.
Step-by-step explanation:
Given the relation: t{(−1,0),(7,0),(−1,9),(−6,−9)}
In the ordered pairs:
Domain: {-6, -1, 7}
Range: {-9, 0, 9}
Next, we determine whether the relation is a function.
For a relation to be a function, each x must correspond with only one y value.
However, as is observed in the mapping attached below:
The x-value (-1) corresponds to two y-values (0 and 9)
Therefore, the relation is not a function.
