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MA_775_DIABLO [31]
3 years ago
11

A company sells widgets. The amount of profit , ymade by the company, is related to the selling price of each widget, x, by the

given equation. Using this equation, find the maximum amount of profit the company can make, to the nearest Dollar.
y=-x^2+64x-292
Mathematics
1 answer:
Bezzdna [24]3 years ago
7 0

Answer:

$732

Step-by-step explanation:

Given

y \to profit

x \to widgets

y = -x^2 + 64x - 292

Required

The maximum profit

First, we calculate the maximum amount of widgets that can be sold using:

x = -\frac{b}{2a}

Where:

a = -1; b = 64; x = -292

So, we have:

x = -\frac{64}{2 * -1}

x = -\frac{64}{-2}

x = -(-32)

x = 32

The maximum profit is:

y = -x^2 + 64x - 292

y = -(32)^2 + 64 * 32 - 292

Using a calculator, we have:

y = 732

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15.268 divided by 10,000 I WILL RATE YOU 5 STARS AND LIKE
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Answer:

The answer is 0.0015268.

Step-by-step explanation:

15.268÷10,000=0.0015268

8 0
3 years ago
A company surveyed 2,600 North American airline passengers and reported that approximately 75% said that they carry a smartphone
geniusboy [140]

The probability that exactly six out of ten carry a smartphone when travelling is; <u><em>P(6) = 0.146</em></u>

The missing part of the question is;

The probability distribution of x is the binomial distribution with n = 10 and p = 0.75.

Calculate P(6)

  • This is a binomial <em>probability distribution</em> problem that has a general formula as; P(x) = ⁿCₓ × pˣ × q⁽ⁿ ⁻ ˣ⁾

Where;

p is probability of success

q is probability of failure

n is number of experiments

In this question;

n = 10

p = 75% = 0.75

q = 1 - p

q = 1 - 0.75

q = 0.25

Since six passengers are randomly selected, then applying the formula earlier quoted, we have;

P(6) = ¹⁰C₆ × 0.75⁶ × 0.25⁽¹⁰ ⁻ ⁶⁾

P(6) = 0.146

Read more at; brainly.com/question/24239758

4 0
2 years ago
A device produces random 64-bit integers at a rate of one billion per second. After how many years of running is it unavoidable
nikitadnepr [17]

Answer:

3171 × 10^(44) years

Step-by-step explanation:

For each bit, since we are looking how many years of running it is unavoidable that the device produces an output for the second time, the possible integers are from 0 to 9. This is 10 possible integers for each bit.

Thus, total number of possible 64 bit integers = 10^(64) integers

Now, we are told that the device produces random integers at a rate of one billion per second (10^(9) billion per second)

Let's calculate how many it can produce in a year.

1 year = 365 × 24 × 60 × 60 seconds = 31,536,000 seconds

Thus, per year it will produce;

(10^(9) billion per second) × 31,536,000 seconds = 3.1536 × 10^(16)

Thus;

Number of years of running is it unavoidable that the device produces an output for the second time is;

(10^(64))/(3.1536 × 10^(16)) = 3171 × 10^(44) years

6 0
3 years ago
Question is in the image​
storchak [24]

Answer:

4.

Step-by-step explanation:

y = -2x + 3

-1 = -2(2) + 3

-1 = -4 + 3

-1 = -1

y = x - 3

-1 = 2 - 3

-1 = -1

8 0
3 years ago
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