Step-by-step explanation:
Let T be the event that she hot the target and W be the event that there was a gust of wind.
P(T | W) = 0.4
P(T | W') = 0.7
P(W) = 0.3
P(W') = 1 - 0.3 = 0.7
a) P(W
T) = P(W) x P(T | W)
= 0.3 x 0.4
= 0.12
b) P(T) = P(W
T) + P(W'
T)
= 0.12 + 0.7 x 0.7
= 0.61
c) P(she hits the target exactly once in two shots) = P(hits the target on first shot and misses on the second) + P(misses the target on first shot and hits on the second)
= 0.61 x (1-0.61) + (1-0.61) x 0.61
= 0.4758
d) P(W' | T') = P(T'
W')/P(T') [Bayes' theorem]
= [0.7 x (1-0.7)]/[0.7 x (1-0.7) + 0.3 x (1-0.4)]
= 0.5385
Answer:
a. 4, b.20
Step-by-step explanation:
There are 4 quarter mile laps in 1 mile, so you multiply the miles covered by 4 to find out the quarter mile laps.
a. 1x4=4
b. 5x4=20
The correct answer is (1,2)
Steps:
Multiply the second equation by 6 in order to eliminate the x variable.
6x-7y= -8
6(-x-4y= -9)
6x-7y= -8
-6x-24y=-54
Add the equations together and solve for y
-31y= -62
Y=2
Substitute y=2 in the original equation
-x-4(2)= -9
-x-8= -9
-x= -1
X=1
Answer: (1,2)
Answer: Expression :2.54 x
Number of centimeters in 12 inches : 30.48
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
- <em>1 inch = 2.54 cm
</em>
So, to estimate the number of centimeters in x inches:
2.54 x
Where "x" is the number of inches.
To estimate the number of centimeters in 12 inches, we simply replace the variable "x" (number of inches) by the number 12.
Mathematically speaking:
2.54 (12)= 30.48 centimeters
Feel free to ask for more if needed or if you did not understand something.