Trong một lớp học có $35$ sinh viên nói được tiếng Anh, $25$ sinh viên nói được tiếng Nhật trong đó có $10$ sinh viên nói được c

The actual question asks, "<span>Jeremy possessed 3/4 of a submarine sandwich and shared 1/3 of that with his friend. How much of the sandwich did his friend obtain?"

Solution:
Calculating 1/3 of 3/4 of a submarine sandwich results in = 1/3 x 3/4 = 3/12 = 1/4
Therefore, Jeremy gave his friend 1/4 of the submarine sandwich. </span>

The likelihood stands at 6 out of 120, or 1/20, equivalent to a 5% probability. You can calculate this by defining the total number of outcomes. When organizing items within a set, the factorial function on your calculator, denoted by "!", is a straightforward way to arrive at a solution. This function indicates the product of all integers less than that number down to 1 multiplied together. Therefore, since there are 5 letters in the word poker, we utilize 5! which can be expanded to 1*2*3*4*5 = 120. Next, we must identify how many combinations begin with k and conclude with p. There are precisely 6 such configurations: koerp, korep, kreop, kroep, kerop, and keorp. Finally, we divide the number of favorable outcomes by the total possibilities.

Answer:

X>-9

X is greater than -9

Step-by-step explanation:

4(X-3)+4<10+6X

By expanding the brackets:

4X-12+4<10+6X

Combining similar terms:

4X-6X<10+12-4

-2X<18

Dividing each side by -2:

-2X/-2>18/-2

Hence, X>-9

The critical step involves consolidating similar terms, resulting in 4X-8<10+6X, rather than 4X-6X<10+8.

Answer:

The slope for members is half as steep when compared to the slope for non-members. Both graphs cross at 600 tokens and $120. Prior to this intersection, non-members have lower costs than members. Beyond the 600 tokens mark, members will incur lower costs than non-members.

Step-by-step explanation:

Here are the equations as I understand them:

Member:

y = 1/10x + 60

Non-Member:

y = 1/5x

Answer:

(a) For a single play of Instant Lotto, the anticipated value of the prize amounts to $3.50.

(b) The likelihood that a visitor secures a prize at least two times during the 20 free plays is 0.2641.

(c) The chance of a randomly chosen day having 1000 or more players of Instant Lotto is 0.2579.

Step-by-step explanation:

(a)

The probability distribution for the monetary awards in Instant Lotto is defined as follows:

X P (X = x)

$10    0.05

$15    0.04

$30    0.03

$50    0.01

$1000  0.001

$0      0.869

___________

Total =   1.000

The expected value for one Instant Lotto play can be computed as follows:

                   

Consequently, the expected prize value for a single Instant Lotto play is $3.50.

(b)

Define X as the count of prizes a visitor wins.

A visitor receives n = 20 complimentary plays of Instant Lotto.

The probability of winning in any of the 20 games is p = 1/20 = 0.05.

The outcomes in the 20 plays are independent of one another.

The variable X adheres to a Binomial distribution characterized by parameters n = 20 and p = 0.05.

To find the probability that the visitor wins a prize at least twice in these 20 plays, perform the following calculation:

P (X ≥ 2) = 1 - P (X < 2)

              = 1 - P (X = 0) - P (X = 1)

             

The resulting probability that the visitor wins a prize at least twice during the 20 plays is 0.2641.

(c)

Let X denote the number of individuals playing Instant Lotto each day.

The variable X is assumed to be normally distributed with a mean value of μ = 800 players and a standard deviation of σ = 310 players.

To ascertain the probability that on a random day, at least 1000 people participate in Instant Lotto, consider the following:

Implementing continuity correction:

P (X ≥ 1000) = P (X > 1000 + 0.50)

                    = P (X > 1000.50)

                   

                   

The probability of having at least 1000 players on any random day is 0.2579.