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Katarina [22]
2 years ago
15

Consider the system of linear equations. x + y = 9.0 0.50 x + 0.20 y = 4.05 Find the values of x and y .

Mathematics
1 answer:
mixas84 [53]2 years ago
4 0

Answer:

x=7.5

y=1.5

Step-by-step explanation:

x + y = 9.0

subtract x from both sides

y=9-x

0.50x + 0.20y= 4.05

0.50 x +0.20(9-x)= 4.05

0.50x+1.8-0.2x= 4.05

combine like terms

0.30x+1.8= 4.05

subtract 1.8 from both sides

0.30x=2.25

divide both sides by 0.3

x=7.5

y=9-x

y=9-7.5

y=1.5

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Ruby has a bird feeder which is visited by an average of 13 birds every 2 hours during daylight hours. What is the probability t
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Answer:

62.93%

Step-by-step explanation:

We have to solve it by a Poisson distribution, where:

p (x = n) = e ^ (- l) * l ^ (x) / x!

Where he would come being the number of birds that there would be in 40 minutes, we know that in 2 hours, that is 120 minutes there are 13, therefore in 40 there would be:

l = 13 * 40/120

l = 4,333

Now, we have p (x> 3) and that is equal to:

p (x> 3) = 1 - p (x <= 3)

So, we calculate the probability from 0 to 3:

 p (x = 0) = 2.72 ^ (- 4.33) * 4.33 ^ (0) / 0! = 0.01313

p (x = 1) = 2.72 ^ (- 4.33) * 4.33 ^ (1) / 1! = 0.0568

p (x = 2) = 2.72 ^ (- 4.33) * 4.33 ^ (2) / 2! = 0.12310

p (x = 3) = 2.72 ^ (- 4.33) * 4.33 ^ (3) / 3! = 0.17767

If we add each one:

0.01313 + 0.0568 + 0.12310 + 0.17767 = 0.3707

replacing:

p (x> 3) = 1 - 0.3707

p (x> 3) = 0.6293

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5 0
2 years ago
Light bulbs cost £2.30 each. Yasmin buys as many as she can with £20. How much change should she get? Give your answer in pounds
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Answer:

£1.6

Step-by-step explanation:

£20 ÷ £2.3= 8 remainder 1.6

change= £1.6

6 0
2 years ago
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1. Lisa and Tomas Lopez are buying a new minivan that has a base
Dimas [21]

The question is incomplete:

Lisa and Tomas Lopez are buying a new minivan that has a base price of $22,510.the options total $8,062 and destination charge is $770. The dealer's cost is estimated to be 91% of the base price and 88% of the options.

-What is the sticker price of the vehicle?

-Find the dealer's percent of the base price.

-Find the dealer's percent of the options price.

-What is the estimated dealer's cost?

Answer:

-What is the sticker price of the vehicle? $31,342

-Find the dealer's percent of the base price: $20,484

-Find the dealer's percent of the options price: $7,094

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Step-by-step explanation:

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Estimated dealer's cost= $20,484+$7,094+$770

Estimated dealer's cost=$28,348

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Answer:

153.8 grams of sugar is needed

Step-by-step explanation:

5 0
1 year ago
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