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koban [17]
3 years ago
5

You are working to earn enough money for a vacation which costs 1200.0 dollars. Your take-home pay is $16.50/hour, but you only

work 4-hour shifts each day. How many days will it take for you to earn enough money to pay for your vacation if all the money you earn goes towards your vacation
Mathematics
1 answer:
Harrizon [31]3 years ago
8 0

Answer:

It will take 18\frac{2}{11} days to earn enough money to pay for your vacation.

Step-by-step explanation:

From the question,

The total cost of the vacation is 1200.0 dollars, that is $1200.0

Also, you earn $16.50/hour but you only work for 4 hours each day.

First, we will determine how much you earn in a day.

If you work for 4 hours each day and earn $16.50 / hour; then the amount you earn in a day is

$16.50/hour × 4 hour

= $66.00

Hence, you earn $66.00 dollars each day.

Now, to determine the number of days it will take for you to earn enough money to pay for your vacation, that will be

The cost of the vacation divided by the amount earned each day

Cost of the vacation = $1200.0

Amount earned each day = $ 66.00

Hence, the number of days it will take for you to earn enough money to pay for your vacation is

$1200.0 / $66.00

= 18\frac{2}{11} days or 18.18 days

Hence, it will take 18\frac{2}{11} days to earn enough money to pay for your vacation.

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Sav [38]

Answer:

x=y

Step-by-step explanation:

let x be the number of tennis balls and y the number of rackets.

-We divide the number of balls by the number of rackets to find out their ratio of proportionality:

\frac{x}{y}=\frac{5}{5}=\frac{1}{1}=1

-Hence, for each one ball there is one racket, so;

x=y

-This relationship is linear in nature, a direct variation, and can be graphed as attached below:

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3 years ago
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A child gets 20 heads out of 30 tosses of a coin. If he declared the chance of getting a head with that coin were 2/3, that woul
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Answer: Experimental probability

Step-by-step explanation:

There are two kinds of probability: Theoretical probability and Experimental probability.

To calculate theoretical probability we divide favorable outcomes by total outcomes.

To calculate experimental probability we divide number of times an event occurs by the total number of trials or times the activity is performed.

Here, A child gets 20 heads out of 30 tosses of a coin. If he declared the chance of getting a head with that coin were 2/3, which is dependent on the activity he performed, thus it is an experimental probability.

3 0
3 years ago
The Census Bureau's Current Population Survey shows that 28% of individuals, ages 25 and older, have completed four years of col
gizmo_the_mogwai [7]

Answer:

19.35% probability that five will have completed four years of college

Step-by-step explanation:

For each individual chosen, there are only two possible outcomes. Either they have completed fourr years of college, or they have not. The probability of an adult completing four years of college is independent of any other adult. So 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.

28% of individuals

This means that p = 0.25

For a sample of 15 individuals, ages 25 and older, what is the probability that five will have completed four years of college?

This is P(X = 5) when n = 15. So

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

P(X = 5) = C_{15,5}.(0.28)^{5}.(0.72)^{10} = 0.1935

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5 0
3 years ago
Need some help with this one please
Airida [17]

Answer: Choice A

y = (-3/4)(x + 4) + 6

=====================================================

Let's go through the answer choices

  • Choice A is something we'll come back to
  • Choice B is false because the line does not go uphill as we move from left to right. The graphed line has a negative slope, which contradicts what choice B is saying.
  • Choice C is false for similar reasons as choice B. The slope should be negative.
  • Choice D has a negative slope, but the y intercept is wrong. The y intercept should be 3. So choice D is false as well.

We've eliminated choices B through D.

Choice A must be the answer through process of elimination.

------------

Here's an alternative method:

If we started at a point like (0,3) and move to (4,0), note how the slope is -3/4

This is because we've moved down 3 units and to the right 4 units.

m = slope = rise/run = -3/4

We can also use the slope formula m = (y2-y1)/(x2-x1) to see this.

Then we pick on a point that is on the diagonal line. It could be any point really, but the point your teacher used for choice A is (x1,y1) = (-4,6)

So,

y - y1 = m(x - x1)

y - 6 = (-3/4)(x - (-4))

y - 6 = (-3/4)(x + 4)

y = (-3/4)(x + 4) + 6

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