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Elden [556K]
3 years ago
15

When Arjun makes hot cocoa, he adds 20ml of chocolate syrup for every 3 ounces of hot water. Arjun's brother, Eli, adds 45mL of

chocolate syrup for every 6 ounces of hot water.
Which hot cocoa is more chocolatey?.
Mathematics
1 answer:
Leto [7]3 years ago
5 0

Answer:

Eli

Step-by-step explanation:

To find the most chocolately, analyze the unit rate per 1 ounce. The unit rate with more chocolate in ml per 1 ounce will be more chocolately.

To find the unit rate, create a fraction of syrup over hot water.

Arjun - \frac{20ml}{3}= 6.67 ml per 1 ounce

Eli - \frac{45ml}{6} = 7.5 ml per 1 ounce

Eli's is greater and therefore more chocolately.

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Given P(E) = 0.24 and P(F ∩ E) = 0.17

It says to find conditional probability of F given E has occurred.

We know the formula of conditional probability is given by :-

P(F ║ E) = \frac{P(E\;and\; F)}{P(E)}

P(F ║ E) = \frac{0.17}{0.24} = 0.708333

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Hence, option C i.e. 0.71 is the final answer.

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Answer:

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3 years ago
What is the inverse of the function f(x) = 2x + 1?
Luda [366]

Answer:

f^{-1}(x)=\frac{1}{2}x-\frac{1}{2} ⇒ answer 1

Step-by-step explanation:

* Lets explain how to find the inverse of a function

- To find the inverse of a function :

# Write y = f(x)

# Switch the x and y

# Solve to find the new y

# The new y is f^{-1}

* Lets solve the problem

∵ f(x) = 2x + 1

- Put y = f(x)

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- Switch x and y

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- Solve to find the new y

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- Subtract 1 from both sides

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- Divide both sides by 2

∴ (x - 1)/2 = y

- Divide each term in the left hand side by 2

∴ y = 1/2 x - 1/2

- Replace y by f^{-1}

∴ f^{-1}(x)=\frac{1}{2}x-\frac{1}{2}

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7 0
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