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2 years ago

The sale price of a router is 35% Off the regular price. The sale price is 117$. What was the regular price ?

Mathematics

1 answer:

sladkih [1.3K]2 years ago

7 0

Okay, the equation would be: What is 35% of $117

Proportion:

$\frac{x}{117}$ $\frac{35}{100}$

We multiply:

117 x 35 = 4095

Now we divide:

4095 / 100 = 40.95

Then we add:

40.95 + 117 = $157.95

and that's your answer!

I hope this helps! :)

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Assume the random variable X is normally distributed with mean mu equals 50 and standard deviation sigma equals 7. Compute the p

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Answer:

The probability that X is less than 42 is 0.1271.

Step-by-step explanation:

The random variable X follows a Normal distribution.

The mean and standard deviation are:

E (X) = μ = 50.

SD (X) = σ = 7.

A normal distribution is continuous probability distribution.

The Normal probability distribution with mean µ and standard deviation σ is given by,

$f_{X}(\mu, \sigma)=\frac{1}{\sigma\sqrt{2\pi}}e^{-(x-\mu)^{2}/2\sigma^{2}};\ -\infty$

To compute the probability of a Normal random variable we first standardize the raw score.

The raw scores are standardized using the formula:

$z=\frac{x-\mu}{\sigma}$

These standardized scores are known as z-scores and they follow normal distribution with mean 0 and standard deviation 1.

Compute the probability of (X < 42) as follows:

$P(X$

*Use a z-table for the probability.

Thus, the probability that X is less than 42 is 0.1271.

The normal curve is shown below.

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For a standard normal distribution,Find P(-1.21 < Z< 2.26)

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Jonah is going to the store to buy candles for his igloo. Small candles cost $3.50 and large candles cost $5.00. He needs to buy

Semmy [17]

Answer:

$x+y\geq 20$

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Step-by-step explanation:

Let x represent number of small candles and y represent number of large candles.

We have been given that Jonah needs to buy at least 20 candles. This means number of small and large candles should be greater than or equal to 20. We can represent this information in an inequality as:

$x+y\geq 20...(1)$

We are also told that small candles cost $3.50, so cost of x small candles would be $3.50x$ .

Since large candles cost $5.00, so cost of y large candles would be $5.00y$ .

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$3.50x+5.00y\geq 80$

Therefore, our required system of inequalities would be:

$x+y\geq 20$

$3.50x+5.00y\leq 80$

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