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romanna [79]
3 years ago
7

Samuel used the distributive property to simplify the expression -6(-2 - 10x) - 7x and came up with 53x - 12 which is incorrect.

What is Samuel’s mistake? What is the correct answer?
Mathematics
1 answer:
Komok [63]3 years ago
7 0

Answer:

He messed up the signs, most likely by multiplying incorrectly. It should be 53x+12.

Step-by-step explanation:

You begin by multiplying both -2 and -10x by -6.

Remember a negative times a negative makes a positive.

-6(-2-10x)

12+60x

Then you need to combine like terms which are 60x and -7x

60x-7x

53x

So that means the final answer will be

53x+12

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Suppose you observe a spot exchange rate of $1.50/€. if interest rates are 5% apr in the u.s. and 3% apr in the euro zone, what
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The no-arbitrage 1-year forward rate in $/€, F($/<span>€) is given by

F(\$/euro)=S(\$/euro)\times \frac{1+i_\$}{1+i_{euro}}

where S(</span>$/euro) is the spot exchange rate in $/€, i_\$ is the interest rate in the US and i_{euro}<span> is the exchange rate in the Euro zone.

Thus, given that </span>the <span>spot exchange rate is $1.50/€ and interest rates are 5% apr in the u.s. and 3% apr in the euro zone.

The no-arbitrage 1-year forward rate is given by:

F(\$/euro)=1.50\times \frac{1+0.05}{1+0.03} \\  \\ =1.50\times \frac{1.05}{1.03} =1.50\times1.019 \\  \\ =\bold{\$1.5291}</span>
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Is 8 over 10 a irrational number
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Which expression is the simplest form of −(2x 3 +x 2 )+3(x 3 −4x 2 )?
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Step-by-step explanation:

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2 years ago
a) A large hotel in Miami has 900 rooms (all rooms are equivalent). During Christmas, the hotel is usually fully booked. However
Olegator [25]

Answer:

14.69% probability that this happens

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

1000 people were given assurance of a room.

This means that n = 1000

Let us assume that each customer cancels their reservation with a probability of 0.1.

So 0.9 probability that they still keep their booking, which means that p = 0.9

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So this is 1 subtracted by the pvalue of Z when X = 0.91.

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

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Z = 1.05

Z = 1.05 has a pvalue of 0.8531

1 - 0.8531 = 0.1469

14.69% probability that this happens

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Step-by-step explanation:

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