A. In the experiment of rolling two fair 6-sided dice, Leonard considers the outcome a "success" if the sum of the die results is either 5 or 6. Leonard performs this trial 4 times.
b. In tossing two fair coins, Mildred considers the outcome a "success" if both coins land on "Heads." Mildred performs this trial 3 times.
c. In rolling a fair 4-sided die (with edges numbered 1, 2, 3, and 4, respectively), Nigel considers it a "success" if he rolls a "1." Nigel performs this trial 5 times.
1. Among the (collective) trials of Leonard, Mildred, and Nigel, what is the probability that exactly 3 successes occur? (Answer as a decimal number, and round to 3 decimal places).

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

no because after the troops were pulled many blacks were killed by hangings lynchings and other cruel ways which in a way interrupted the reconstruction of the south and differed from the way abraham lincoln had an idea of reconstruction

it would be a on edgenuit y

the diagram below is your final answer