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hodyreva [135]
2 years ago
8

For math: Add: (there both fractions) 2/5+1/2

Mathematics
2 answers:
Zielflug [23.3K]2 years ago
6 0

Answer and work provided in image attached.

liubo4ka [24]2 years ago
5 0
1. Find the Least Common Denominator (LCD) of \frac{2}{5} , \frac{1}{2}
Method 1: By Listing Multiples<span>List out all multiples of each denominator, and find the first common one.

5: 5,10
2: 2, 4, 6, 8,10</span>

Method 2: By Prime FactorsList all prime factors of each denominator, and find the union of these primes.

5 : 5
2 : 2
Therefore, the LCD is 2 x 5 = 10
 2. Make the denominators the same as the LCD

\frac{2 * 2}{5 * 2} + \frac{1 * 5}{2 * 5}

3. Simplify. Denominators are now the same

\frac{4}{10} + \frac{5}{10}

4. Join the denominators

\frac{4+5}{10}

5. <span>Simplify

</span>\frac{9}{10}

<span>Done (Fact: Decimal Form 0.9)</span>
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Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally
storchak [24]

Answer:

a) 0.1587

b) 0.0475

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Step-by-step explanation:

Let's start defining our random variable.

X : ''Thickness (in mm) of ancient prehistoric Native American pot shards discovered in a Hopi village''

X is modeled as a normal random variable.

X ~ N(μ,σ)

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To calculate all the probabilities, we are going to normalize the random variable X.

We are going to call to the standard normal distribution ''Z''.

[(X - μ) / σ] ≅ Z

We normalize by subtracting the mean to X and then dividing by standard deviation.

We can find the values of probabilities for Z in a standard normal distribution table.

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a)

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c)

P(3

P(-1 Φ(1.666) - Φ(-1) = 0.9525 - 0.1587 = 0.7938

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