Answer:
Hence the probability that she paid cash is 0.105
Step-by-step explanation:
P(cash) = 0.3
P(credit card ) = 0.3
P(debit card ) = 0.4
P ( more than $50 | cash ) = 0.2
P (more than $50 | credit card ) =0.9
P (more than $ 50 |debit card ) = 0.6
P ( more than $50) = P ( more than $50 | cash )* P (cash) + P (more than $50 credit card ) * P(credit card ) + P (more than $ 50 |debit card )* P(debit card )
= 0.2 * 0.3 + 0.9 * 0.3 + 0.6* 0.4
= 0.57
P ( more than $50) = P ( more than $50 | cash )* P (cash) / P ( more than $50)
= 0.2* 0.3 / 0.57
= 0.105
12/3=4
4 inches per 1/4 of the year.
4x4=16
Therefore it would grow 16 inches in an year.
Point A, because the square root of 81 is 9, and 83 is just slightly larger than 81. Point A is slightly more than 9, and all of the other points are out of range, so the answer is A
Answer:
Step-by-step explanation:
First, start off by solving for the slope using this formula:
Then, plug in the values: 
Solve the equation: 
That's your slope.
Then plug in one of the coordinates given in the problem for x and y and solve this equation:
y=x+b
Hope that helped!!! :)
That question isn't nearly as hard as they want it to be. The "a" in the sin function is the altitude of the function...how high it goes up and how low it goes down. The negative in front of the 7 just means that it starts going down before it goes up (a classic sine wave goes up and then down; the negative just reverses that). From the wave's midpoint on the y axis, which is 11 (hence, the +11 in the equation), the wave goes up 7 (to a y value of 18) and then goes down 7 (to a y value of 4). Because it goes up 7 and then down 7, the diameter of the pinwheel is 14. The sin wave mimics the round and round motion of the pinwheel. You could have been able to tell that it was 14 just by looking at what the altitude was. The altitude is always the number the wave goes up and down from its midpoint. 7 up and 7 down makes 14 altogether.
