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3 years ago

What is the solution and the inequality ?

Mathematics

1 answer:

Nikolay [14]3 years ago

4 0

Inequality : 19.50n+24≤$110

Solution: Alyssa can buy 4 DVDs

Work: 110-24=86
86/19.50 = 4.4

You can't have a fraction of a DVD, so you have to round down to 4.

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The cost in dollars y of producing x computer

soldier1979 [14.2K]

Answer:

Step-by-step explanation:

a. table

x = 100,y = 20*100+3000 = 2000+3000 = 5000

x = 200,y = 20*200+3000 = 4000+3000 = 7000

x = 300,y = 20*300+3000 = 6000+3000 = 9000

b：

y = 4300

4300 = 20x+3000

20x = 4300-3000

20x = 1300

x = 1300/20

x = 65

so 65 computer desks can be produced.

4 0

3 years ago

-4/7 + 2/7x - 14x + 4/7

alexgriva [62]

Answer:

The solved given expression is

$\frac{-4}{7}+\frac{2}{7}x-14x+\frac{4}{7}=\frac{-96x}{7}$

Step-by-step explanation:

Given expression is $\frac{-4}{7}+\frac{2}{7}x-14x+\frac{4}{7}$

To solve the given expression :

$\frac{-4}{7}+\frac{2}{7}x-14x+\frac{4}{7}$

$=\frac{-4+4+2x}{7}-14x$

$=\frac{0+2x}{7}-14x$

$=\frac{2x}{7}-14x$

$=\frac{2x-14x(7)}{7}$

$=\frac{2x-98x}{7}$

$=\frac{-96x}{7}$

Therefore $\frac{-4}{7}+\frac{2}{7}x-14x+\frac{4}{7}=\frac{-96x}{7}$

Therefore the solved given expression is

$\frac{-4}{7}+\frac{2}{7}x-14x+\frac{4}{7}=\frac{-96x}{7}$

5 0

3 years ago

The amount of money Jerome saves after w weeks is represented by the function f(w)=15w+230

Aliun [14]

15 represents the slope of the function. In other words it means that for every week Jerome earns 15 dollars more. Hope this helps :)

5 0

3 years ago

Read 2 more answers

The number of surface flaws in plastic panels used in the interior of automobiles has a Poisson distribution with a mean of 0.08

kvv77 [185]

Answer:

a) 44.93% probability that there are no surface flaws in an auto's interior

b) 0.03% probability that none of the 10 cars has any surface flaws

c) 0.44% probability that at most 1 car has any surface flaws

Step-by-step explanation:

To solve this question, we need to understand the Poisson and the binomial probability distributions.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

Binomial 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.

Poisson distribution with a mean of 0.08 flaws per square foot of plastic panel. Assume an automobile interior contains 10 square feet of plastic panel.

So $\mu = 10*0.08 = 0.8$

(a) What is the probability that there are no surface flaws in an auto's interior?

Single car, so Poisson distribution. This is P(X = 0).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-0.8}*(0.8)^{0}}{(0)!} = 0.4493$

44.93% probability that there are no surface flaws in an auto's interior

(b) If 10 cars are sold to a rental company, what is the probability that none of the 10 cars has any surface flaws?

For each car, there is a $p = 0.4493$ probability of having no surface flaws. 10 cars, so n = 10. This is P(X = 10), binomial, since there are multiple cars and each of them has the same probability of not having a surface defect.