Pl huy The state lottery board is examining the machine that randomly picks the lottery numbers. On each trial, the machine outputs a ball with one of the digits 0 through 9 on it. (The ball is then replaced in the machine.) The lottery board tested the machine for 200 trials and got the following results.
Outcome: 0,1,2,3,4,5,6,7,8,9
Number of Trials:22,16,19,25,12,22,20,19,15,3 0
Fill in the table below. Round your answers to the nearest thousandth.

(a) Assuming that the machine is fair, compute the theoretical probability of getting a 0 or .9

(b) From these results, compute the experimental probability of getting a 0 or 9 .

(c) Assuming that the machine is fair, choose the statement below that is true:

1.The experimental and theoretical probabilities must always be equal.

2.As the number of trials increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal.

or. As the number of trials increases, we expect the experimental and theoretical probabilities to become farther apart.

I am not sure about this question sry but u can try asking a tutor

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west