Multiple Response. Select all the equations that have exactly one solution.

ivolga24 [154]

Using permutations and the probability concept, it is found that there is a 0.0417 = 4.17% probability that Nia is chosen as president.

A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.

As there are different roles, the order in which the students are chosen is important, hence, the <em>permutation </em>formula is used to solve this question.

Permutation formula:

The number of possible permutations of x elements from a set of n elements is given by:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

Desired outcomes:

Nia's president.

For the other roles, 3 students from a set of 23, hence:

$D = P_{23,3} = \frac{23!}{20!} = 10626$

Total outcomes:

4 students from a set of 24, hence:

$T = P_{24,4} = \frac{24!}{20!} = 255024$

Then:

$p = \frac{D}{T} = \frac{10626}{255024} = 0.0417$

0.0417 = 4.17% probability that Nia is chosen as president.

To learn more about probabilities, you can take a look at brainly.com/question/24437717

8 0

2 years ago

If 8 g of a radioactive substance are present initially and 2 yr later only 4 g remain, how much of the substance will be presen

My name is Ann [436]

Answer:

none

Step-by-step explanation:

8-4=4

if every 2 years, 4 gallons disappear

then every 1 year, 2 gallons disappear

meaning that by 5 years there will be no substance left.

(5*2=10)

7 0

2 years ago

PLEASE HELP 70 POINTS

AlexFokin [52]

Answer:

-1 = -5

0 = -1

2 = 5

Step-by-step explanation:

In order to do this you need to follow these five (5) steps:

1) Know what each of the variables mean in an equation of a line. The equation of a line is y = mx + b where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept. (Remember that the slope is the steepness of a line and the y-intercept is the point where the line intersects the y-axis. The x- and y-coordinates are values of the points on the line of y = 3x - 1.)

2) Identify the m (slope) and the b (y-intercept). The slope is 3, which can also be written as 3/1. The y-intercept is -1. (Remember that subtraction of 1 is the SAME thing as adding -1!) Since the y-intercept is a point it will be plotted at (0, -1).

3) Plot the y-intercept first. Start at the origin (intersection of the x- and y-axes) since the x coordinate is 0. Then move DOWN 1 unit since the y-coordinate is negative.

4) Use the m (slope) to plot at least three new points. The slope can also be represented as "rise/run" or the amount of units that you move UP or DOWN (vertically), then LEFT or RIGHT (horizontally). (Remember: if the numerator is positive (move UP); numerator is negative (move DOWN); denominator is POSITIVE (move RIGHT); denominator is NEGATIVE (move LEFT)). Since our slope is 3/1, and both the numerator and denominator are POSITIVE, that means we will be "rising" (moving UP) 3 units and "running" (moving RIGHT) 1 unit.

Start at the y-intercept of (0, -1) and move up 3 units and to the right 1 unit. You should be at (1, 2). Plot a point here. Then do it again. You should now be at (2, 5). Plot another point. Now, do it one more time. You should now be at (3, 8). Plot your last point. (If you wish to continue plotting additional points, feel free to do so.)

4 0

3 years ago

Read 2 more answers

Given the geometric sequence where a1=1 and the common ratio is 6, what is the domain for n?

kari74 [83]

We have been given that a geometric sequence's 1st term is equal to 1 and the common ratio is 6. We are asked to find the domain for n.

We know that a geometric sequence is in form $a_n=a_1(r)^{n-1}$ , where,