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BigorU [14]
3 years ago
5

There are 20 20 coins in a jar. Each coin is either a nickel or a quarter. If one of the coins is selected at random, the probab

ility of selecting a nickel is 0.6 0.6 . How many quarters are in the jar?
Mathematics
1 answer:
sveta [45]3 years ago
3 0

Answer: there are 8 quarters in the jar

Step-by-step explanation:

Let x represent the number of nickels that is inside the jar.

The total number of coins inside the jar is 20.

Probability is expressed as

Number of possible or favorable outcomes/total number of outcomes.

The probability of selecting a nickel is 0.6. This is expressed as

0.6 = x/20

Cross multiplying, it becomes

x = 20 × 0.6

x = 12

Since there are 12 nickels inside the jar, then the number of quarters would be

20 - 12 = 8

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A sweater is on sale for 30% off the ticketed price of $84. How much will the sweater cost after the discount?
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3 years ago
Implicit differentiation of 1/x +1/y=5 y(4)= 4/19<br> y'(4)=?
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\frac{1}{x} +\frac{1}{y} = 5\\\\x^{-1}+y^{-1}=5\\

Above, I changed the fraction form of x and y into exponential form so it is easier to see the differentiation. Now, we can differentiate:

-1x^{-2}+-1y^{-2}\frac{dy}{dx}=5\\\\\frac{-1}{x^2}-\frac{1}{y^2}\frac{dy}{dx}=5\\\\-\frac{1}{y^2}\frac{dy}{dx}=5+\frac{1}{x^2}\\\\\frac{dy}{dx}=-5y^2-\frac{y^2}{x^2}

Now that we have dy/dx, we can plug in the x, which is 4, and the y, which is 4/19. We know these values of x and y because your question stated y(4) = 4/19.

\frac{dy}{dx}=-5(\frac{4}{19})^2-\frac{(\frac{4}{19})^2}{(4)^2}\\\\\frac{dy}{dx}=-5(\frac{16}{361})-\frac{(\frac{16}{361})}{16}\\\\\frac{dy}{dx}=\frac{-80}{361}-\frac{1}{361}\\\\\frac{dy}{dx}=\frac{-81}{361}
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Find the missing side of triangle
Maksim231197 [3]

<u>Final Answer:</u>

x = 20

<u>Step-by-step explanation:</u>

we'll be using the pythagorean theorem method, in this triangle the missing letter is a.

formula: a=\sqrt{c^2-b^2}

a = x

b = 21

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a = \sqrt{29^2-21^2}

a = \sqrt{841-441}     (note: 29² = 29 × 29 = 841 and 21² = 21 × 21 = 441)

a = \sqrt{400}

a = 20

x = 20

7 0
3 years ago
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