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alina1380 [7]
4 years ago
14

Which number is greater: 87 or 13.688? How do you know?

Mathematics
1 answer:
lisabon 2012 [21]4 years ago
4 0
87 because 13.688 is way less than 87
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Solve 2/3=3/10t I want an answer
Alecsey [184]

Answer:

1/5=t

Step-by-step explanation:

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3 years ago
Morty buys and sells computer parts
mart [117]

Answer:

  • <em>1. Morty's total cost for the items he purchased was </em><u><em>$210</em></u>
  • <em>2. Morty's revenue from the sale of the items was </em><u><em>$547</em></u>
  • <em>3. Morty's Total profit was </em><u><em>$337</em></u>

<em />

Explanation:

The complete question is:

<em>Morty buys and sells computer parts. He bought two monitors for $25 each and later sold them for $88 each. He bought four cases for $15 each and later sold them for $24 each. He bought five memory modules for $20 each and later sold them for $55 each.</em>

<em />

  • <em>Morty's total cost for the items he purchased was</em>
  • <em>Morty's revenue from the sale of the items was</em>
  • <em>Morty's Total profit was </em>

<em />

<h2><em>Solution</em></h2>

<em />

<u><em>1. Morty's total cost for the items he purchased was</em></u>

<em />

Build a table with the number of parts and their costs:

Component         Amout    Unit cost  Total cost

                                               $                 $

Monitors                2             25                50

Cases                     4             15                 60

Memory                  5             20               100

Total cost = $50 + $60 + $100 = $210

<u><em>2. Morty's revenue from the sale of the items was</em></u>

<em />

Build a table with the number of parts and their selling prices:

Component         Amout    Unit price  Total cost

                                               $                 $

Monitors                2              88               176

Cases                     4              24                96

Memory                  5             55              275

Total revenue: $176 + $96 + $275 = $547

<u><em>3. Morty's Total profit was </em></u>

<em />

The total profit is the total revenue less the total cost: $547 - $210 = $337.

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Step-by-step explanation:

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Which inequality is true?
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Read 2 more answers
Recently, FHA mortgages, which are insured by the federal government, accounted for 28% of all home-purchase mortgages that were
Murljashka [212]

Answer:

15.87% probability that 48 or more from this sample were insured by the FHA

Step-by-step explanation:

I am going to use the normal approximation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using 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.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

p = 0.28, n = 150

So

\mu = E(X) = np = 150*0.28 = 42

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{150*0.28*0.72} = 5.5

What is the probability that 48 or more from this sample were insured by the FHA?

Using continuity correction, this is P(X \geq 48 - 0.5) = P(X \geq 47.5), which is 1 subtracted by the pvalue of Z when X = 47.5. So

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

Z = \frac{47.5 - 42}{5.5}

Z = 1

Z = 1 has a pvalue of 0.8413.

1 - 0.8413 = 0.1587

15.87% probability that 48 or more from this sample were insured by the FHA

4 0
4 years ago
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