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Musya8 [376]
2 years ago
10

A company that sells toys models their profit with the function

Mathematics
1 answer:
Pavlova-9 [17]2 years ago
3 0

9514 1404 393

Answer:

  a) profit has a typical curve: negative at low volume, and again at very high volume.

  b) $239,407

Step-by-step explanation:

a) The graph is negative below x=1.58, so the break-even point is 158 toys sold. The profit declines steeply above 533 toys sold, to again go negative for 774 toys sold. This sort of curve seems fairly typical.

__

b) The profit is a maximum of $239,407 when 533 toys are sold.

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Consider an urn with 7 black balls, 3 yellow balls, and 4 orange balls. If 3 balls are chosen randomly with replacement, what is
KATRIN_1 [288]

Answer:

1.79% chance or \frac{6}{343}

Step-by-step explanation:

7+3+4=14

chance of yellow \frac{3}{14}

chance of orange \frac{4}{14}

\frac{3}{14} * \frac{4}{14} *\frac{4}{14}  =  \frac{6}{343}

5 0
2 years ago
The proportion of American births that result in a birth defect is approximately 1/33 according to the Centers for Disease Contr
max2010maxim [7]

Answer:

The appropriate probability model for X is a Binomial distribution,

X \sim Bin (<em>n</em> = 5, <em>p</em> = 1/33).

Step-by-step explanation:

The random variable <em>X</em> can be defined as the number of American births resulting in a defect.

The proportion of American births that result in a birth defect is approximately <em>p</em> = 1/33.

A random sample of <em>n</em> = 5 American births are selected.

It is assumed that the births are independent, i.e. a birth can be defective or not is independent of the other births.

In this experiment the success is defined as a defective birth.

The random variable <em>X</em> satisfies all criteria of a Binomial distribution.

The criteria are:

  • Number of observations is constant
  • Independent trials
  • Each trial has only two outcomes: Success and Failure
  • Same probability of success for each trial

Thus, the appropriate probability model for X is a Binomial distribution, Bin (<em>n</em> = 5, <em>p</em> = 1/33).

7 0
3 years ago
Read 2 more answers
Sean took 4 hours to travel from Town A to Town B at an
labwork [276]

Answer:

Tina's average speed  for the whole journey = 56 kmph

Step-by-step explanation:

Time taken by Sean to travel from Town A to Town B = 4 hours.

Average speed of Sean = 70 km/h

We have equation of motion, s = ut + 0.5 at²

Time, t = 4 hours.

Initial speed, u = 70 km/hr

Acceleration, a = 0 m/s²

Substituting

      s = ut + 0.5 at²

      s = 70 x 4 + 0.5 x 0 x  4²

       s = 280 km

Distance from Town A to Town B = 280 km

Tina took 1 hour more than Sean.

Time taken by Tina to travel from Town A to Town B = 4 +1 = 5 hours

We have equation of motion, s = ut + 0.5 at²

Time, t = 5 hours.

Displacement, s = 280 km

Acceleration, a = 0 m/s²

Substituting

      s = ut + 0.5 at²

      280 = u x 5 + 0.5 x 0 x  5²

       u = 56 km/hr

Tina's average speed  for the whole journey = 56 kmph

6 0
3 years ago
See screenshot...need help its due today
Pani-rosa [81]

Answer:

Step-by-step explanation:

f=20

Im a god bro

4 0
2 years ago
PLEASE HELP ME I HAVING TROUBLE
viktelen [127]

Answer: f(-6) = -\frac{12}{11}, f(-4) = \frac{8}{9}, f(4) = -\frac{8}{9}, f(6) = \frac{12}{11}

<u>Step-by-step explanation:</u>

(-6, f(-6)) is an x,y coordinate.  They are asking what the y-value is when you plug in -6 for x.

f(x) = \frac{2x}{x^{2}-25}

f(-6) = \frac{2(-6)}{(-6)^{2}-25}

      = \frac{-12}{36-25}

      = -\frac{12}{11}

f(-4) = \frac{2(-4)}{(-4)^{2}-25}

      = \frac{-8}{16-25}

      = \frac{-8}{-9}

      = \frac{8}{9}

f(4) = \frac{2(4)}{(4)^{2}-25}

      = \frac{8}{16-25}

      = \frac{8}{-9}

      = -\frac{8}{9}

f(6) = \frac{2(6)}{(6)^{2}-25}

      = \frac{12}{36-25}

      = \frac{12}{11}

5 0
2 years ago
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