Maria has a spinner with 2 sections labeled a, 3 sections labeled b, 2 sections labeled c, 4 sections labeled d, and 1 section labeled e. all 12 sections are the same size.
she spins it 20 times with outcomes as follows:

outcome
number of times

a
4

b
6

c
3

d
5

e
2

a) find the theoretical probability that the spinner lands on d.
b) find the theoretical probability that the spinner lands on a.
c) find the theoretical probability that the spinner lands on d or a.
d) find the experimental probability that the spinner lands on b.
e) find the experimental probability that the spinner lands on e.

Okay so im not entirely sure if you need this still or if i am right but this is what ive got.

a) the chance of landing on the letter D is 1/3 because there are 4 sections labeled D and total there is 12. Therefore, 4 is 1/3 of 12 giving me the answer.

b) the chance of landing on the letter A is 1/6 because there are only 2 sections labeled A and total there is 12. Since that is the case, 2 is 1/6 of 12.    

c) the chance of landing on the letter A and D is easy to find. You would just add the chances of getting the letter A and the letter D and there is your answer. 1/3 + 1/6= 3/6 or 1/2.

d) the experimental probability of the spinner landing on B is a 6/20 chance because the number of trials are 20, the denominator, and 6 is the event, numerator, which gives 6/20 or 3/10 simplified.

e) the experimental probability of the spinner landing on E is a 2/20 chance because the number of trials is 20, which is the denominator, and 2 is the event, numerator which gives 2/20 or 1/10 simplified

the speed is   miles per hour > is false

step-by-step explanation:

we know that  

a relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or

in a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

the graph shown in the figure represent a direct variation

the slope of the line represent the speed

for the point

substitute the values of x and y

the linear equation is equal to

statements

case a) it takes hours to go miles

the statement is true

because

substitute

for

find the value of y in the linear equation

> is correct

case b) the speed is   miles per hour

the statement is false

because the speed is

case c) the unit rate for the trip is

the statement is true

because the speed is equal to the slope of the linear equation

case d) it took minutes to go the first miles

the statement is true

because

substitute

for

find the value of y in the linear equation

> is correct