The transformation shown is a rotation. true or false
2 answers:
You might be interested in
Answer:
Answer:
The y-intercept is -21. The x-intercept is -10.5 or .
(0, -21) and (-10.5, 0)
Step-by-step explanation:
To find the y-intercept, you would plug in 0 for x.
y = -2x - 21
y = -2(0) - 21
y = 0 - 21
y = -21
The y-intercept is -21.
To find the x-intercept, you would plug in 0 for y.
y = -2x - 21
0 = -2x - 21
2x = -21
x = -21/2
x = -10.5 or
The x-intercept is -10.5 or .
Answer:
The expected value of rolling a 5 or 6 is 10.
Step-by-step explanation:
The sample space of rolling a standard number cube is:
S = {1, 2, 3, 4, 5 and 6}
The cube is standard, this implies that each side has an equal probability of landing face-up.
So, the probability of all the six outcomes is same, i.e. .
Now it is provided that Apu rolls the cube <em>n</em> = 30 times.
Let the random variable <em>X</em> represent the value on the face of cube.
The event of rolling a 5 and rolling a 6 are mutually exclusive, i.e. they cannot occur together.
So, P (X = 5 and X = 6) = 0.
Compute the probability of getting a 5 or 6 as follows:
P (X = 5 or X = 6) = P (X = 5) + P (X = 6) - P (X = 5 and X = 6)
= P (X = 5) + P (X = 6)
Compute the expected value of rolling a 5 or 6 as follows:
Thus, the expected value of rolling a 5 or 6 is 10.