All categories

3 years ago

These are the first sentences in the short story, "The Gift of the Magi," by O. Henry:

Mathematics

2 answers:

Harman [31]3 years ago

6 0

The <em><u>correct answer</u></em> is:

a) 25q + 10d + 5n + 60 = 187

Explanation:

One dollar and 87 cents can be written as 1.87. However, since one dollar is equal to 100 cents, we can also write this as 187 cents.

Each quarter, represented by q, is equal to 25 cents; this gives us the expression 25q.

Each dime, represented by d, is equal to 10 cents; this gives us the expression 10d.

Each nickel, represented by n, is equal to 5 cents; this gives us the expression 5n.

We have 60 pennies.

This gives us the equation 25q+10d+5n+60=187.

Aleonysh [2.5K]3 years ago

5 0

I think the answer to this is: 25q + 10d + 5n + 60 = 87

The story says that you have 1 dollar and 87 cents; 60 cents of which is pennies. So, if you’re using an equation involving quarters, dimes and nickels, the total equation should equal to 87 cents (since that dollar bill could not be broken down to cents).

You might be interested in

What makes 4sqrt 324x^6y^8=4sqrt 2^2•3^4•x^c•y^8 assume x>0 and y>0

Pavel [41]

Answer:

c=4

The multiple choice question is B

Step-by-step explanation:

Just did it.

4 0

3 years ago

A recent study suggested that 70% of all eligible voters will vote in the next presidential election. Suppose 20 eligible voters

natita [175]

Answer:

0.0479 = 4.79% probability that fewer than 11 of them will vote

Step-by-step explanation:

For each voter, there are only two possible outcomes. Either they will vote, or they will not. The probability of a voter voting is independent of any other voter, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

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

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

70% of all eligible voters will vote in the next presidential election.

This means that $p = 0.7$

20 eligible voters were randomly selected from the population of all eligible voters.

This means that $n = 20$

What is the probability that fewer than 11 of them will vote?

This is:

$P(X < 11) = P(X = 10) + P(X = 9) + P(X = 8) + P(X = 7) + P(X = 6) + P(X = 5) + P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1) + P(X = 0)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 10) = C_{20,10}.(0.7)^{10}.(0.3)^{10} = 0.0308$

$P(X = 9) = C_{20,9}.(0.7)^{9}.(0.3)^{11} = 0.0120$

$P(X = 8) = C_{20,8}.(0.7)^{8}.(0.3)^{12} = 0.0039$

$P(X = 7) = C_{20,7}.(0.7)^{7}.(0.3)^{13} = 0.0010$

$P(X = 6) = C_{20,10}.(0.7)^{6}.(0.3)^{12} = 0.0002$

$P(X = 5) = C_{20,5}.(0.7)^{5}.(0.3)^{15} \approx 0$

The probability of 5 or less voting is very close to 0, so they will not affect the outcome. Then

$P(X < 11) = P(X = 10) + P(X = 9) + P(X = 8) + P(X = 7) + P(X = 6) + P(X = 5) + P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1) + P(X = 0) = 0.0308 + 0.0120 + 0.0039 + 0.0010 + 0.0002 = 0.0479$

0.0479 = 4.79% probability that fewer than 11 of them will vote

8 0

3 years ago

HELP ME PLEASE!!

dimaraw [331]

The answer:
A: yes
b: no
C:yes

3 0

3 years ago

Temp of 20* C will drop by 4*c

svp [43]

Answer:

16* C

Step-by-step explanation:

This is simply 20 - 4

---> 20 - 4 = 16

=> Celcius (C)

Thus, 16° C

4 0

3 years ago

Shelly has a certain amount of money. If she spent 12 dollars of it. She has 1/5 left of it. How much did shelly have originally

Lena [83]

Answer:

$14.40

Step-by-step explanation:

She spent 12 dollars and has 1/5 left.

This means $12 is 4/5 of her original money.

$12=4/5 of the original money

$12+ $[12•(4/5)]=4/5+ (1/5)

$12+$[2.4]=5/5

$14.4=5/5 of the original money

She originally had $14.40

3 0

3 years ago