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11Alexandr11 [23.1K]
3 years ago
5

Simplify 70 - 4 x (4 - 1)^2

Mathematics
1 answer:
Kruka [31]3 years ago
7 0

well 70 - 4 x (4 - 1)²

70 - 4 x 3²

70 - 4 x 9

70 - 36

34

Answer 34

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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
zalisa [80]

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

Which means that the probability is 62.93%

5 0
3 years ago
Blake and his brother are participating in their school’s food drive. Blake has collected 6 1/3 pounds of food and his brother h
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They will need 2 5/12 more pounds to reach their goal.

<h3>Sum and difference of fractions</h3>

Given the following information as shown:

  • Amount Blake collected = 6 1/3 pounds
  • Amount his brother collected = 5 3/4 pounds

If their goal is to collect 14 1/2 pounds of food by the end of the month, the remaining food they need to collect will be expressed as:

y =14 1/2 - (6 1/3 + 5 3/4)

y = 14 1/2 - (19/3  + 23/4)

y = 29/2 - (76+69/12)

y = 29/2 - (145/12)

y = 174-145/12

y = 29/12

y = 2 5/12

Hence they will need 2 5/12 more pounds to reach their goal.

Learn more on sum and difference of fractions here:  brainly.com/question/24205483

5 0
2 years ago
(7•8) + 1/2 (3•3)<br> 1/2(7•8)+1/2(3•3)<br> (7•8)+(3•3)<br> 1/2(7•8)+(3•3)
AfilCa [17]

Answer:4.5 for triangle + 56= 60.5 squuare units

Step-by-step explanation:

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2 years ago
Amy bought 2/3 pound of dark chocolate and 1/4 pound of milk chocolate. how much did she buy
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B is the correct answer
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Slope = (0 - 6)/(4 - 0) = -6/4 = -3/2
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