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vredina [299]
2 years ago
7

P(A) = 1/2 P(B) = 1/3 PIAN B) = 1/6 Find P(AUB)

Mathematics
1 answer:
Oksi-84 [34.3K]2 years ago
5 0

P(A\cup B)=P(A)+P(B)-P(A\cap B)

so that P(A U B) = 1/2 + 1/3 - 1/6 = 2/3

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Multiply the trinomials.
lora16 [44]

Answer:

b

Step-by-step explanation:

8 0
3 years ago
a manufacturer has determined that if his company sells x items per day then their profit is given by P=-x^2+ 700 x-10000 euros.
Radda [10]

Answer:

15

Step-by-step explanation:

To find the minimum amount of items, x, that need to be sold for the manufacturer to make a profit, we can use the quadratic formula

x = \frac{-b+\sqrt{b^{2}-4ac } }{2a}; x=  \frac{-b-\sqrt{b^{2}-4ac } }{2a}

x= \frac{-700+\sqrt{700^{2}-4(a)(-10000) } }{2(1)}; x= \frac{-700-\sqrt{700^{2}-4(a)(-10000) } }{2(1)}

x= \frac{-700+\sqrt{530000} }{2}; x= \frac{-700-\sqrt{530000} }{2}

x=\frac{-700+100\sqrt{53} }{2}; x=\frac{-700-100\sqrt{53} }{2};

x=-350 + 50\sqrt53 = 14.005; x = -350 - 50\sqrt53 = -714.005

In context of the problem, we can only rely on the positive value, as the negative value would lead to a loss of profit.

(-714.005)^2+700(-714.005)-10000=-0.360

Furthermore, we must round to the nearest whole number, as you cannot make part of an item.

Lastly, if you were to plug in 14 into the equation for Profit, you would still have a negative number (i.e. a negative profit), thus requiring the manufacturer to make no less than 15 items to make a profit:

(14)^2+700(14)-10000=-4\\\\(15)^2+700(15)-10000=725

3 0
1 year ago
How many constants are in the following expression?<br> 7x + 4y - 5 + 4x Help
ad-work [718]

Answer:

1

Step-by-step explanation:

-5 is a constant because its a number on its own without a variable

3 0
2 years ago
Read 2 more answers
Noah’s remote control car moved 12 feet in 6 seconds. Which graph has a slope that best represents Noah’s car’s average rate of
vaieri [72.5K]

We want to find a graph that represents Noah's average speed.

We define the average speed as the quotient between the distance moved and the time it takes to move that distance, then in this case we will have:

s = 12ft/6s = 2ft/s

Then we can define a linear equation:

y = (2ft/s)*x

As the distance that Noah travels in x seconds.

The graph of the given linear function can be seen below, and that is the graph with the slope that best represents Noah's average speed.

If you want to learn more, you can read:

brainly.com/question/11897796

6 0
2 years ago
An obtuse angle measures between:
velikii [3]
Anything over 90 and bellow 180 degrees is a obtuse. 
5 0
3 years ago
Read 2 more answers
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