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3 years ago

A person pay $3500 for 42 lawn mowers, then sells each lawnmower for $99. How much profit does the store make?

Mathematics

1 answer:

masya89 [10]3 years ago

5 0

Answer:

$658

Step-by-step explanation:

42 x 99 = 4,158

4,158 - 3,500 = 658

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Find the value of y round your answer to the nearest tenth cos y y=8/13

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8/13 = 0.6153

y = cos-1(0.6153)

y = 52.0

I'm not totally sure if this is what you mean or if this is.

y = cos(8/13) = 0.9999 which to the nearest tenth is 1.0

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Answer:

2/3

Step-by-step explanation:

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Answer:

$\large\boxed{a.\ -3x^5y^6}$

Step-by-step explanation:

$-3x^2y^2\cdot y^4x^3=(-3)(x^2x^3)(y^2y^4)\\\\\text{use}\ a^na^m=a^{n+m}\\\\=-3x^{2+3}y^{2+4}=-3x^5y^6$

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3 years ago

A k out of n system is one in which there is a group of n components, and the system will function if at least k of the componen

Solnce55 [7]

Answer:

0.9606 = 96.06% probability that the system will function tomorrow

Step-by-step explanation:

For each component, there are only two possible outcomes. Either it works, or it does not. Components are independent. This means that we use the binomial probability distribution 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.

Probability of a component working:

0.7 of 0.2(rain)

0.9 of 1 - 0.2 = 0.8(no rain). So

$p = 0.7*0.2 + 0.9*0.8 = 0.86$

0.86 - 86% probability that the system will function tomorrow

6 components:

This means that $n = 6$

What is the probability that the system will function tomorrow

This is

$P(X \geq 4) = P(X = 4) + P(X = 5) + P(X = 6)$

In which

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

$P(X = 4) = C_{6,4}.(0.86)^{4}.(0.14)^{2} = 0.1608$

$P(X = 5) = C_{6,5}.(0.86)^{5}.(0.14)^{1} = 0.3952$

$P(X = 6) = C_{6,6}.(0.86)^{6}.(0.14)^{0} = 0.4046$

$P(X \geq 4) = P(X = 4) + P(X = 5) + P(X = 6) = 0.1608 + 0.3952 + 0.4046 = 0.9606$

0.9606 = 96.06% probability that the system will function tomorrow

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3 years ago

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Answer:

f(x) = Ca^x

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f(x) = 220000(0.89)^x

So each year reduces by 89%

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2 years ago