Answer:
P(X > 8) = 0.323
Step-by-step explanation:
We are given that a softball pitcher has a 0.507 probability of throwing a strike for each pitch. Also, the softball pitcher throws 15 pitches.
The above situation can be represented through Binomial distribution;
where, n = number of trials (samples) taken = 15 pitches
r = number of success = more than 8
p = probability of success which in our question is probability of
throwing a strike for each pitch, i.e., 0.507
<em>LET X = Number of strikes</em>
So, it means X ~
So, Probability that more than 8 of them are strikes = P(X > 8)
P(X > 8) = P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)
= =
= 0.323
Therefore, probability that more than 8 of them are strikes is 0.323.
1.92*9=17.28
The total would be $17.28
Answer:
y = -4x-4
Step-by-step explanation:
We need to find an equation of the line that passes through (1,0) and has a slope of m=-4.
The equation of a line is given by :
y = mx+c
Where
m is slope of line
Put all the values,
y = -4x+c
Put x = 1 and y = 0
So,
0 = -4(1)+c
c = -4
So, the required equation is :
y = -4x-4
9514 1404 393
Answer:
g(x) = f(x -2) -1
Step-by-step explanation:
The transformation g(x) = f(x -h) +k causes the graph of function f(x) to be translated h units to the right and k units up. Here, g is translated 2 units right and 1 unit down, so (h, k) = (2, -1). The translated function is ...
g(x) = f(x -2) -1