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Degger [83]
4 years ago
15

A company has determined that its weekly profit is a function of the number of items that it sells. Which equation could

Mathematics
2 answers:
CaHeK987 [17]4 years ago
7 0
<h3>The needed equation representing the profit y is represented in the option B.</h3><h3>B. y  = -x² + 50 x - 300 </h3>

Step-by-step explanation:

Here, the given options are incomplete.

A. y²  = 4 x²  - 100

B. y  = -x² + 50 x - 300

C.  x =  -y² + 60 y - 400

D. x ²  =  - 6 y² + 200

The number of items sold by the company  = x

The profit ( in thousands) is represented as  = y

Now, here as we are looking for the equation representing profit (y)

So, we can disregard the equations which has terms (x)  and ( x²)  in left.

⇒The equations in the options C and D are eliminated.

Similarly, again we are looking for the equation for Profit , not (profit)².

So,we can disregard the equation which has terms (y²)  in left side.

⇒The equation in the options A is eliminated.

Hence, the needed equation representing the profit y is represented in the option B.

B. y  = -x² + 50 x - 300

dalvyx [7]4 years ago
3 0

Answer: B

Step-by-step explanation:

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topjm [15]

The approximate value of P(-0.78 ≤ Z ≤ 1.16) is obtained being 0.6593

<h3>How to get the z scores?</h3>

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have  X \sim N(\mu, \sigma)

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(Know the fact that in continuous distribution, probability of a single point is 0, so we can write

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Also, know that if we look for Z = z in z-tables, the p-value we get is

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For this case, we have to find:

P(-0.78\leq Z \leq 1.16)

It can be rewritten as:

P(-0.78\leq Z \leq 1.16) = P(Z \leq 1.16) - P(Z < -0.78) \\P(-0.78\leq Z \leq 1.16) = P(Z \leq 1.16) - P(Z \leq -0.78)

The p-values for Z = 1.16 and Z = -0.78 from the z-table is found as 0.8770 and 0.2177 respectively, and therefore, we get:

P(-0.78\leq Z \leq 1.16) = P(Z \leq 1.16) - P(Z \leq -0.78)\\P(-0.78\leq Z \leq 1.16) = 0.8770 - 0.2177 = 0.6593

Thus, the approximate value of P(-0.78 ≤ Z ≤ 1.16) is obtained being 0.6593

Learn more about z-score here:

brainly.com/question/21262765

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