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Degger [83]
3 years ago
13

6. Which interval represents the range of the function h(x) = 2x2 – 2x - 4?

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
6 0

Answer:-4.5,00

Step-by-step explanation:

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A university warehouse has received a shipment of 25 printers, of which 10 are laser printers and 15 are inkjet models. If 6 of
Tanya [424]

Answer:

The probability is 0.31

Step-by-step explanation:

To find the probability, we will consider the following approach. Given a particular outcome, and considering that each outcome is equally likely, we can calculate the probability by simply counting the number of ways we get the desired outcome and divide it by the total number of outcomes.

In this case, the event of interest is  choosing 3 laser printers and 3 inkjets. At first, we have a total of 25 printers and we will be choosing 6 printers at random. The total number of ways in which we can choose 6 elements out of 25 is \binom{25}{6}, where \binom{n}{k} = \frac{n!}{(n-k)!k!}. We have that \binom{25}{6} = 177100

Now, we will calculate the number of ways to which we obtain the desired event. We will be choosing 3 laser printers and 3 inkjets. So the total number of ways this can happen is the multiplication of the number of ways we can choose 3 printers out of 10 (for the laser printers) times the number of ways of choosing 3 printers out of 15 (for the inkjets). So, in this case, the event can be obtained in \binom{10}{3}\cdot \binom{15}{3} = 54600

So the probability of having 3 laser printers and 3 inkjets is given by

\frac{54600}{177100} = \frac{78}{253} = 0.31

4 0
4 years ago
describe why it might not be a good idea to use a key where each symbol stand for 1 in a Picture grapa
Ksju [112]
Because you might get confused and get the wrong answer
5 0
3 years ago
You sell lemonade for $2 per cup and orange juice got $3 per cup. You sell a total of 100 cups for $240. How cups of lemonade an
Andrei [34K]

Answer:

240

Step-by-step explanation:

lets see

if we sell 100 cups of lemonade that would make 200 dollars NOT ENOUGH

if we sell 100 cups of orange juice that would make 300 TOO MUCH

meaning we have the find the right one

lets say if we sell 80 lemonade cups we would make 160 then have 20 orange juice which would make 60 and 160+60= 220 so not enough either

this means we can't have as much lemonade

lets try 75 cups of lemonade

lets say if we sell 50 lemonade cups we would make 100 then have 50 orange juice which would make 150 and 150+100= 250 so too much

lets try 55 cups of lemonade

lets say if we sell 55 lemonade cups we would make 110 then have 45 orange juice which would make 135 and 110+135= 145

sooo close

try 60

60*2-120 40*3-120

120*120= 240

7 0
4 years ago
Read 2 more answers
On a coordinate plane, parallelogram P Q R S is shown. Point P is at (negative 2, 5), point Q is at (2, 1), point R is at (1, ne
Anika [276]

Answer:

The perimeter of parallelogram PQRS = 2\sqrt{10}+8\sqrt{2} ⇒

2nd answer

Step-by-step explanation:

* <em>Lets revise some properties of the parallelogram</em>

- Each two opposite sides are parallel

- Each two opposite sides are equal

- Its <em>perimeter</em> is the <em>twice the sum of two adjacent sides</em>

* <em>Lets solve the problem</em>

∵ PQRS is a parallelogram

∵ The length of side SR is 4\sqrt{2}

∵ The length of side QR is \sqrt{10}

∵ <em>SR and RQ are two adjacent sides</em>

∵ The perimeter of parallelogram PQRS = 2(RQ + SR)

∴ The perimeter of parallelogram PQRS = 2(\sqrt{10}+4\sqrt{2})

∵ 2*\sqrt{10} = 2\sqrt{10}

∵ 2*4\sqrt{2} = 8\sqrt{2}

∴ The perimeter of parallelogram PQRS = 2\sqrt{10}+8\sqrt{2}

3 0
3 years ago
Read 2 more answers
Stacy sells art prints for $12 each. Her expenses are $2.50 per print, plus $38 for equipment. How many prints must she sell for
dybincka [34]

Answer:

3.8

Step-by-step explanation:

"Let the art prints be p

Cost function is 38 + 2p

Revenue function is 12p

Set cost equal to revenue

12p = 38 + 2p

Subtract 2p from each side

10p = 38"

7 0
4 years ago
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