Sean and Leah are playing a computer game. Sean scored 72,491 points. Leah scored 19,326 points more than Sean. How many point did Leah score?

Answers

Answer 1

Answer: Add 72,491 and 19,326. Easy.

Answer 2

Answer: You would take 71,491 + 19,326 because you know how many points Sean scored, so just add 19,326 to get the amount of Leah's points.

71,491 + 19,326 = 90,817 points.

So Leah scored a total of 90,817 points.

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(2 - (- 2)²)² +5 · ( -4)

Answers

Answer:

-164

Step-by-step explanation:

(2 - (- 2)²)² +5 · ( -4)

(2 + 2²) ² +5 · ( -4)

(2 + 2 + 2)² +5 · ( -4)

6² +5 · ( -4)

6 · 6 + 5 · -4

36 + 5 · -4

41 · -4

-164

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Discount lodging. A hotel is offering rooms that normally go for $189 per night for only $109 a night.How many dollars would a traveler save if he stays in such a room for one week?

Answers

Answer:

$560

Step-by-step explanation:

189 - 109 = $80 discount per night

80 x 7 = $560

Final answer:

By subtracting the discounted price from the original price, we find that the traveler saves $80 per night. Multiplied by the 7 nights in a week, the traveler would save a total of $560.

Explanation:

This is a simple subtraction and multiplication problem. The original cost of a night's stay at this hotel is $189, but it has been discounted to $109. To calculate the savings for one night, we subtract the discounted price from the original price: $189 - $109 = $80. That means the traveler saves $80 each night. A week has seven nights, so multiply $80 (savings per night) by 7 (nights in a week). The result is $80 * 7 = $560. So, if a traveler stays in such a room for one week, he would save $560.

Learn more about Discount here:

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Janelle has a credit card balance of $6444. The interest rate for this card is16.8%. If she wants to pay it off in 12 months, how much should she pay each
month?

Answers

Answer:

Credit cards typically have high interest rates compared to most other types of loans. That means it’s potentially expensive to borrow money with a credit card. When you don’t pay your full credit card balance every month, it’s easy to accumulate boatloads of interest fees quickly.

What is a credit card minimum payment? It’s the minimum amount of money a credit card company is willing to accept each month to keep your account in good standing.

Don’t make the mistake of thinking the minimum due is a “monthly payment” you should be making to pay off your credit card bill. When you only pay the minimum due on your credit card statement, your credit card issuer will make a lot of extra money from you.

Step-by-step explanation:

A club elects a president, vice-president, and secretary-treasurer. How many sets of officers are possible if there are 11 members and any member can be elected to each position? No person can hold more than oneoffice

Answers

11 members and we have to pick three without replacement.

$_(11) C_(3)$ = 165

There are 165 possible sets of officers

A school newspaper reporter decides to randomly survey 18 students to see if they will attend Tet festivities this year. Based on past years, she knows that 11% of students attend Tet festivities. We are interested in the number of students who will attend the festivities. Find the probability that more than 2 students will attend.

Answers

Answer:

There is a 13.80% probability that more than 2 students will attend.

Step-by-step explanation:

For each student surveyed, there are only two possible outcomes. Either they will attend the Tet festivities this year, or they will not. This means that we can solve this problem using binomial probability distribution concepts.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_(n,x).\pi^(x).(1-\pi)^(n-x)$

In which $C_(n,x)$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_(n,x) = (n!)/(x!(n-x)!)$

And $\pi$ is the probability of X happening.

In this problem, we have that:

11% of students attend Tet festivities, so $p = 0.11$ .

18 students are surveyed, so $n = 18$ .

Find the probability that more than 2 students will attend.

This is $P(X > 2)$ , that is:

$P(X > 2) = 1 - P(X \leq 2)$

In which

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)$

$P(X = x) = C_(n,x).\pi^(x).(1-\pi)^(n-x)$

$P(X = 0) = C_(18,0).(0.11)^(0).(0.89)^(16) = 0.1550$

$P(X = 1) = C_(18,1).(0.11)^(1).(0.89)^(15) = 0.3448$

$P(X = 2) = C_(18,2).(0.11)^(2).(0.89)^(14) = 0.3622$

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.1550 + 0.3448 + 0.3622 = 0.8620$

Finally

$P(X > 2) = 1 - P(X \leq 2) = 1 - 0.8620 = 0.1380$

There is a 13.80% probability that more than 2 students will attend.

Final answer:

To find the probability that more than 2 out of 18 randomly chosen students will attend the Tet festivities, given the historical attendance rate of 11%, we use the binomial probability formula. We subtract the probability of 0, 1, or 2 students attending from 1.

Explanation:

The subject matter of this question pertains to the field of probability in mathematics. We are asked to calculate the probability that more than 2 out of 18 students will attend the Tet festivities, given that historically, 11% of students attend.

To solve this, we can use the binomial probability formula:

P(X=k) = C(n, k) * (p^k) * ((1-p)^(n-k))

where n is the total number of trials, in this case, 18 students; k is the number of successes we are interested in, which are more than 2 attendances; p is the probability of success, in this case, 0.11; and C(n, k) is the binomial coefficient calculation, 'n choose k'.

However, since we are interested in more than 2 students attending, we have to subtract from 1 the probability of 0, 1, or 2 students attending. Therefore, the answer would be 1 - P(X=0) - P(X=1) - P(X=2).