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3 years ago

Marco can finish a jigsaw puzzle in 3 hours. Working together with Cliff, it takes them 1 hour. How

Mathematics

1 answer:

vovikov84 [41]3 years ago

3 0

Macro can finish the puzzle in 3 hours. We can say that her speed for working is 1/3 or 1/3 puzzle per hour.

Now if they work together, this turns into 1 puzzle per hour.

That must mean that Cliff would be doing the other 2/3 of the puzzle while Macro does his 1/3 in that hour. If Cliff has a speed of doing them 2/3 per hour. Then it would take 1 and a half hour to finish 1 whole puzzle.

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Which point is a solution to the system of equations graphed below?

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C.

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3 years ago

A can holds 2 liters of paint.<br><br>then how many can we fill with 11 liters of paint

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Answer:

5 and a half

Step-by-step explanation:

Because you can fit 2 liters in each can, to find how many you would need, divide 11 by 2, this would give you 5 and a half, 5.5.

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3 years ago

F(x)=3.7-2x

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Answer:

C) h(x)=-1.3-1.75x

Step-by-step explanation:

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3 years ago

Susannah has a high-yield savings account into which she deposits $140 each month. At the beginning of the year, Susannah's acco

motikmotik

Answer:

Her account balance will be $2,080 at the end of the year

Step-by-step explanation:

Let

y ----> Susannah's account balance

x ---> is the amount of time in months

we have

$y=140x+400$

This is a linear equation in slope intercept form

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The slope or unit rate is equal to

$m=\$140\ per\ month$

The y-intercept or initial value is equal to

$b=\$400$

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One year is equal to 12 months

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3 years ago

A car insurance company has determined that 8% of all drivers were involved in a car accident last year. Among the 15 drivers li

svetlana [45]

Answer:

There is an 11.3% probability of getting 3 or more who were involved in a car accident last year.

Step-by-step explanation:

For each driver surveyed, there are only two possible outcomes. Either they were involved in a car accident last year, or they were not. This means that we solve this problem using binomial probability 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.

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

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

In this problem

15 drivers are randomly selected, so $n = 15$ .

A success consists in finding a driver that was involved in an accident. A car insurance company has determined that 8% of all drivers were involved in a car accident last year. This means that $\pi = 0.08$ .

What is the probability of getting 3 or more who were involved in a car accident last year?

This is $P(X \geq 3)$ .

Either less than 3 were involved in a car accident, or 3 or more were. Each one has it's probabilities. The sum of these probabilities is decimal 1. So:

$P(X < 3) + P(X \geq 3) = 1$