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3 years ago

8

If our monthly income is $1,450 and your house payment is $1,125, what fraction of your monthly income must go to pay your house

payment?

1 answer:

hodyreva [135]3 years ago

8 0

Answer:

1125/1450 or simplify it, 45/58

Step-by-step explanation:

<u><em>1125/1450 or simplify it, 45/58</em></u>

You might be interested in

Wendy goes to the gym every 4 days and swims every 6 days. If she went to the gym and swam today, in how many days will she do b

Mice21 [21]

In 12 days, Wendy will do the both again.

Step-by-step explanation:

Given,

Wendy goes to gym every 4 days

Wendy swims every 6 days

We will find the least common multiple of both the numbers in order to determine the number of days in which she will do both.

4 = 4,8,12,16,20,....

6 = 6,12,18,24,.....

Therefore;

The least common multiple of 4 and 6 is 12.

Thus,

In 12 days, Wendy will do the both again.

Keywords: multiples, LCM

Learn more about multiples at:

#LearnwithBrainly

6 0

3 years ago

Every day your friend commutes to school on the subway at 9 AM. If the subway is on time, she will stop for a $3 coffee on the w

Shtirlitz [24]

Answer:

1.02% probability of spending 0 dollars on coffee over the course of a five day week

7.68% probability of spending 3 dollars on coffee over the course of a five day week

23.04% probability of spending 6 dollars on coffee over the course of a five day week

34.56% probability of spending 9 dollars on coffee over the course of a five day week

25.92% probability of spending 12 dollars on coffee over the course of a five day week

7.78% probability of spending 12 dollars on coffee over the course of a five day week

Step-by-step explanation:

For each day, there are only two possible outcomes. Either the subway is on time, or it is not. Each day, the probability of the train being on time is independent from other days. So we use the binomial probability distribution to solve this problem.

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.

In this problem we have that:

The probability that the subway is delayed is 40%. 100-40 = 60% of the train being on time, so $p = 0.6$

The week has 5 days, so $n = 5$

She spends 3 dollars on coffee each day the train is on time.

Probabability that she spends 0 dollars on coffee:

This is the probability of the train being late all 5 days, so it is P(X = 0).

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

$P(X = 0) = C_{5,0}.(0.6)^{0}.(0.4)^{5} = 0.0102$

1.02% probability of spending 0 dollars on coffee over the course of a five day week

Probabability that she spends 3 dollars on coffee:

This is the probability of the train being late for 4 days and on time for 1, so it is P(X = 1).

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

$P(X = 1) = C_{5,1}.(0.6)^{1}.(0.4)^{4} = 0.0768$

7.68% probability of spending 3 dollars on coffee over the course of a five day week

Probabability that she spends 6 dollars on coffee:

This is the probability of the train being late for 3 days and on time for 2, so it is P(X = 2).

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

$P(X = 2) = C_{5,2}.(0.6)^{2}.(0.4)^{3} = 0.2304$

23.04% probability of spending 6 dollars on coffee over the course of a five day week

Probabability that she spends 9 dollars on coffee:

This is the probability of the train being late for 2 days and on time for 3, so it is P(X = 3).

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

$P(X = 3) = C_{5,3}.(0.6)^{3}.(0.4)^{2} = 0.3456$

34.56% probability of spending 9 dollars on coffee over the course of a five day week

Probabability that she spends 12 dollars on coffee:

This is the probability of the train being late for 1 day and on time for 4, so it is P(X = 4).

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

$P(X = 4) = C_{5,4}.(0.6)^{4}.(0.4)^{1} = 0.2592$

25.92% probability of spending 12 dollars on coffee over the course of a five day week

Probabability that she spends 15 dollars on coffee:

Probability that the subway is on time all days of the week, so $P(X = 5)$ .

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

$P(X = 5) = C_{5,5}.(0.6)^{5}.(0.4)^{0} = 0.0778$

7.78% probability of spending 12 dollars on coffee over the course of a five day week

8 0

3 years ago

1. Charlene makes $10 per hour babysitting and $5 per hour gardening. This week, she wants to make at least $80.

Lady_Fox [76]

Answer:

Step-by-step explanation:

Well is she wanted to make $80 “b” she would have to garden for 16 hours to make a maximum of $80

“C” if she wanted to make it out of babysitting she would have to work the same for 8 hours if she babysit

Workout : b part = 10+10+10+10+10+10+10+10 Key:10=2

:c part = 20+20+20+20. Key:20=2

Sorry I didn’t do a but just add all the things above and u get your answer

4 0

2 years ago

A spyware is trying to break into a system by guessing its password. It does not give up until it tries 1 million different pass

Anettt [7]

Answer:

$Probability = 0.006033$

Step-by-step explanation:

Given

$Tries = 1000000$

Required

Determine the probability of 6 different lower case letters <em>(Question continuation)</em>

<em />

There are 26 lower case letters.

The first can be any of letters 26

The second can be any of letters 26 - 1

The third can be any of letters 26 - 2

The fourth can be any of letters 26 - 3

The fifth can be any of letters 26 - 4

The sixth can be any of letters 26 - 5

Number of selection is:

$Selection = 26 * (26 - 1) * (26 - 2) * (26 - 3) * (26 - 4) * (26 - 5)$

$Selection = 26 * 25 * 24 * 23 * 22 * 21$

$Selection = 165765600$

The probability is:

$Probability = \frac{Tries}{Selection}$

$Probability = \frac{1000000}{165765600}$

$Probability = 0.00603261472$

<em></em> $Probability = 0.006033$ <em> --- approximated</em>

6 0

2 years ago

Explain how multiplying playing with 6 is like multiplying with 3

mote1985 [20]

6 is only the double of 3
3×2=6

Any number that's multiplied by 6 will be the double of any number multiplied by 3, or vice versa, any number multiplied by 3 will be half of any number multiplied by 6. This is because 6 is a multiple of 3.

Take for example:
850×6=5100 ⇔ 850×(3×2)=5100

4 0

3 years ago