Mathematics, 02.12.2019 09:31 saneayahsimmons

Select all situations where a binomial distribution is a reasonable probability model for the random variable x.

a quarter is flipped 3 times to see how many times tails comes up on the coin.

a spinner that has one 10, one 20, one 30, and one 40 is spun 4 times to see how many times a 20 is spun.

a number cube that has 1 on 2 sides, 2 on 2 sides, and 3 on 2 sides is rolled 4 times to see how many times 3 is rolled.

three marbles are pulled from a bag of 10 green and 10 blue marbles without replacing to see how many times a green marble is pulled.

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A binomial distribution can only be used when there are 2 possible outcomes, no more, no less.

Looking at the situations given you are able to use a binomial distribution in 2 cases.

First is the quarter being flipped 3 times. There are only two possibilities (Heads or Tails).

Second is the 3 marbles being pulled out of the bag. There are only two types of marbles (Green and Blue).

Answer from: shanicejordan

In many cases, it is appropriate to summarize a group of independent observations by the number of observations in the group that represent one of two outcomes, this means that there are two probably outcome for a problem or situation. Below are the answer to the above question:

1. A quarter is flipped 3 times to see how many times tails comes up on the coin.
2. Three marbles are pulled from a bag of 10 green and 10 blue marbles without replacing to see how many times a green marble is pulled.

Answer from: Quest

$a_1 = 1$ , and

$a_{n+1} = a_n + (n + 1)$ for $n \ge 1$

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote $a_1 = 1$ , $a_2 = 3$ , $a_3 = 6$ , so that we can call

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

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 $a_1 = 1$ , to get to $a_2 = 3$ , we add $2(=1+1)$

from $a_2 = 3$ , to get to $a_3 = 6$ , we add $3 (=2+1)$

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

$a_1 = 1$ , and $a_{n+1} = a_n +(n + 1)$ for $n \ge 1$

Answer from: Quest

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

$y=-\dfrac{1}{2}x+8$

is for x = 0. substitute:

$y=-\dfrac{1}{2}(0)+8=0+8=8$

y-intercept is 8 → point (0, 8).

10 points and brainliest its for my semester test

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