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3 years ago

3 and 1/4 times -2 and 3/5? Answers: A. -8 9/20 B. -6 and 3/20 C. 6 and 3/20 D. 8 and 9/20

Mathematics

2 answers:

sashaice [31]3 years ago

6 0

$3\frac{1}{4}*(-2\frac{3}{5})= \frac{13}{4}*(-\frac{13}{5})=-\frac{13*13}{4*5}=-\frac{169}{20}=-8\frac{9}{20}$

wolverine [178]3 years ago

6 0

$3\frac{3}{4}\cdot(-2\frac{3}{5})=\frac{3\cdot4+1}{4}\cdot\left(-\frac{2\cdot5+3}{5}\right)=\frac{13}{4}\cdot\left(-\frac{13}{5}\right)=-\frac{13\cdot13}{4\cdot5}=-\frac{169}{20}=-8\frac{9}{20}\\\\\\Answer:A$

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uysha [10]

Answer:

a) A response of 8.9 represents the 92nd percentile.

b) A response of 6.6 represents the 62nd percentile.

c) A response of 4.4 represents the first quartile.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 5.9

Standard Deviation, σ = 2.2

We assume that the distribution of response is a bell shaped distribution that is a normal distribution.

Formula:

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

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$P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.92$

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

$P(z$

$\displaystyle\frac{x - 5.9}{2.2} = 1.405\\x = 8.991 \approx 8.9$

A response of 8.9 represents the 92nd percentile.

b) We have to find the value of x such that the probability is 0.62

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.62$

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

$P(z$

$\displaystyle\frac{x - 5.9}{2.2} = 0.305\\x = 6.571 \approx 6.6$

A response of 6.6 represents the 62nd percentile.

c) We have to find the value of x such that the probability is 0.25

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.25$

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

$P(z$

$\displaystyle\frac{x - 5.9}{2.2} = -0.674\\x = 4.4172 \approx 4.4$

A response of 4.4 represents the first quartile.

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3 years ago

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aalyn [17]

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2 years ago

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