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3 years ago

Simplify sqrt(x^2-16)

1 answer:

4 0

Remember for this type of question.I'm guessing you make the equation equal to 0. Then square both sides the (X ^2-16) and 0. Then the square root goes away. Then you factor it according to the difference of squares method. By taking the square root of x^2 and 16. So ultimately it turns into 2 binomials according to the difference of squares method. The simplified answer would be (X-4)(X+4)=0. To solve for x in each case, take each respective equation separately and make it equal to 0. Solve for x.

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ollegr [7]

Answer:

Step-by-step explanation:

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2 years ago

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A Starbucks coffee shop serves an average of 3500 customers per day, with a standard deviation of 250. What is the probability t

castortr0y [4]

Answer:

$P(3300$

And we can find this probability with this difference:

$P(-0.8$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the amount of cofee shops of a population, and for this case we know the distribution for X is given by:

$X \sim N(3500,250)$

Where $\mu=3500$ and $\sigma=250$

We are interested on this probability

$P(3300$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

If we apply this formula to our probability we got this:

$P(3300$

And we can find this probability with this difference:

$P(-0.8$

6 0

3 years ago

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A little monkey had some peaches. On the first day he decided to keep ½ of his peaches. He gave the rest away. Then he ate one.

Hunter-Best [27]

Answer:

Step-by-step explanation:

Working backwards

1+1 then x2 is 4

4+1 then x2 is 10

10+1 then x2 is 22

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2 years ago

Dorothy is using fabric to cover a photo album the width of the fabric is 5/8 of a yard the area of the fabric is 5/16 square ya

saul85 [17]

For this case we assume that the photo album is rectangular in shape and therefore the fabric too. By definition, the area of a rectangle is given by:

$A = a * b$