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3 years ago

Write an

Mathematics

1 answer:

maxonik [38]3 years ago

7 0

Answer: x-100 < 115

Step-by-step explanation: X is less then 215

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A math instructor assigns a group project in each of the scenarios below, the instructor selects 5 consecutive students from thi

SVETLANKA909090 [29]

Complete question:

Consider a class of 20 students consisting of 5 sophomores, 8 juniors, and 7 seniors. A math instructor assigns a group project in each of the scenarios below, the instructor selects 5 consecutive students from this class, keeping track (in order) of the level of the student that he gets.

1a. How many possible outcomes are in the sample space S? (An outcome is a 5- tuple of students.)

Let A2 denote the event that exactly 2 of the selected students are sophomore, A5 denote the event that exactly 5 of the selected students are the juniors, and A4 denote the event that exactly 4 of the selected students are seniors.

1b. Find the probabilities of each of these three events. A2, A5, A4

1c. Do the events A2, A5, A4 constitute a partition of the sample space?

Answer:

Given:

n = 20

a) The possible outcome in the sample space,S, =

ⁿCₓ = ²⁰C₅

$= \frac{20!}{(20-5)! 5!)}$

$= \frac{20*19*18*17*16}{5*4*3*2*1}$

= 15504

b) probabilities of A2, A5, A4

P(A2) = ⁵C₂ / ²⁰C₂

$= \frac{20}{320} = \frac{1}{19}$

P(A5) = ⁸C₅ / ²⁰C₅

$= \frac{56}{15540} = \frac{7}{1938}$

P(A4) = ⁷C₄ / ²⁰C₄

$= \frac{35}{4845} = \frac{7}{969}$

c) No,the events A2, A5, A4, do not comstitute a partition of the sample space. i.e P(A2)+P(A5)+P(A4) ≠ 1

5 0

4 years ago

Sarah has some chocolates.

EastWind [94]

You divide both numbers by the greatest common factor, which in this case is the number 8 so the equation would look some what like this
16/8=2
8/8=1
The ratio is 2:1

3 0

3 years ago

Which fraction is greater? how do you know? a) 2/3 , 2/5

rusak2 [61]

Answer:

2/3 is greater

Step-by-step explanation:

Two fractions can only be compared if their denominators are equal. In the given problem they are different, so first we make them equal.

$\frac{2}{3} = \frac{2 \times 5}{3 \times 5} = \frac{10}{15} \\ \\ \frac{2}{5} = \frac{2 \times 3}{5 \times 3} = \frac{6}{15} \\ \\ \because \: \frac{10}{15} > \frac{6}{15} \\ \\ \purple{ \boxed{ \bold{ \therefore \: \frac{2}{3} > \frac{2}{5} }}}$

7 0

3 years ago

Megan is checking her tax bill for the last year.

Murljashka [212]

Answer:

That's too long

Step-by-step explanation:

You need to up the points because this is too long

8 0

4 years ago

In a two-player game, five cards, numbered 1 through 5, are placed in a bag. A card is drawn at random, and the players look at

IceJOKER [234]

Answer:

If it is less than 3, Player 1 earns 3 points.

If not, Player 2 earns 2 points.

Step-by-step explanation:

Player 1 :

p(N < 3) = p(N = 1 or N = 2) = 2/5

Player 2 :

p(N ≥ 3) = p(N = 3 or N = 4 or N = 5) = 3/5

We notice that :

p(N < 3) × 3 = (2/5) × 3 = 6/5

On the other hand,

p(N ≥ 3) × 2 = (3/5) × 2 = 6/5

since ,the probability player 1 win multiplied by the associated number of points (3)

is equal to

the probability player 2 win multiplied by the associated number of points (2).

Then the game is fair.

8 0

2 years ago

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