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kolbaska11 [484]
3 years ago
9

True or False; In spherical geometry, there is only one equilateral triangle.

Mathematics
1 answer:
Elodia [21]3 years ago
3 0

It's true. It must equal 180 degrees and the only way to accomplish that while it being an equilateral triangle is by having only one triangle! :)

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The answer is x equals 1/2.

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Stan had 15 apples and gave 10 to his sister. If he had 21 apples and wanted to give the same percentage to his sister, how many
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Q6. (15 points) IQ examination scores of 500 members of a club are normally distributed with mean of 165 and SD of 15.
melamori03 [73]

Answer:

a) 0.8413

b) 421

c) P_{95} = 189.675

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 165

Standard Deviation, σ = 15

We are given that the distribution of  IQ examination scores is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(IQ scores at most 180)

P(x < 180)

P( x < 180) = P( z < \displaystyle\frac{180 - 165}{15}) = P(z < 1)

Calculation the value from standard normal z table, we have,  

P(x < 180) = 0.8413 = 84.13\%

b) Number of the members of the club have IQ scores at most 180

n = 500

\text{Members} = n\times \text{P(IQ scores at most 180)}\\= 500\times 0.8413\\=420.65 \approc 421

c) P(X< x) = 0.95

We have to find the value of x such that the probability is 0.95

P( X < x) = P( z < \displaystyle\frac{x - 165}{15})=0.95  

Calculation the value from standard normal z table, we have,  

P(z < 1.645) = 0.95

\displaystyle\frac{x - 165}{15} = 1.645\\\\x = 189.675  

P_{95} = 189.675

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Answer:

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Step-by-step explanation:

X/2-5 = 1

X/-3 = 1

Multiply both sides by -3 to isolate x

X = -3

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3 years ago
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