How many ways can you choose 7 coins consisting of dimes and nickels so that their total value does not exceed half a dollar?

Mathematics

1 answer:

spin [16.1K]3 years ago

5 0

Answer:

3 porque un dólar es solo uno, por lo que el dólar podría dividirse en 3

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a bag contains a mixture of almonds walnuts and cashews there's an equal quantity of each nut. If a nut is chosen randomly out o

Yanka [14]

Answer:

P(either almond or cashew) = ⅔

Step-by-step explanation:

We are told that the bag contains a mixture of almonds walnuts and cashews of equal number.

Since the 3 nuts are equal in number, they will have a ratio of 1:1:1.

So, when a nut is chosen randomly,

Probability of choosing almond = 1/3

Probability of choosing cashew = 1/3

Thus,

Probability of choosing either almond or cashew in a random selection will be the sum of their individual probability.

So,

P(either almond or cashew) = ⅓ + ⅓ = ⅔

5 0

3 years ago

2+6i/2-4i = a + bi What is the value of a? What is the value of b?

Talja [164]

$\dfrac{2+6i}{2-4i}\\\\\\=\dfrac{2(1+3i)}{2(1-2i)}\\\\\\=\dfrac{1+3i}{1-2i}\\\\\\=\dfrac{(1+3i)(1+2i)}{(1-2i)(1+2i)}\\\\\\=\dfrac{1+2i+3i+6i^2}{1-(2i)^2}\\\\\\=\dfrac{1+5i-6}{1+4}~~~~;[i^2=-1]\\\\\\=\dfrac{5i-5}{5}\\\\\\=\dfrac{5(i-1)}5\\\\=i-1\\\\=-1+i\\\\\text{It is in a form of a +bi so,}~ a = -1~ \text{and}~ b = 1$