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shepuryov [24]
3 years ago
7

Simplify each expression 2x-5y. If x=2/3 and y=1/4

Mathematics
2 answers:
Anon25 [30]3 years ago
7 0

Answer:

\frac{1}{12}

Step-by-step explanation:

2x-5y=\\\\2(\frac{2}{3})-5(\frac{1}{4})=\\\\\frac{4}{3}-\frac{5}{4}=\\\\\frac{16}{12}-\frac{15}{12}=\\\\\frac{1}{12}

Hatshy [7]3 years ago
4 0

Answer:

1/2

Step-by-step explanation:

2x - 5y

2(2/3) - 5(1/4)

(2/1 x 2/3) - (5/1 x 1/4)

(4/3) - (5/4)

(4/3 x 4/4) - (5/4 x 3/3)

16/12 - 15/12

1/12

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REY [17]
This is actually quiet easy!

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3 years ago
A recent study showed that the length of time that juries deliberate on a verdict for civil trials is normally distributed with
tia_tia [17]

Answer:

Probability that deliberation will last between 12 and 15 hours is 0.1725.

Step-by-step explanation:

We are given that a recent study showed that the length of time that juries deliberate on a verdict for civil trials is normally distributed with a mean equal to 12.56 hours with a standard deviation of 6.7 hours.

<em>Let X = length of time that juries deliberate on a verdict for civil trials</em>

So, X ~ N(\mu = 12.56, \sigma^{2} = 6.7^{2})

The z score probability distribution is given by;

              Z = \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = mean time = 12.56 hours

           \sigma = standard deviation = 6.7 hours

So, Probability that deliberation will last between 12 and 15 hours is given by = P(12 hours < X < 15 hours) = P(X < 15) - P(X \leq 12)

    P(X < 15) = P( \frac{X-\mu}{\sigma} < \frac{15-12.56}{6.7} ) = P(Z < 0.36) = 0.64058

    P(X \leq 12) = P( \frac{X-\mu}{\sigma} \leq \frac{12-12.56}{6.7} ) = P(Z \leq -0.08) = 1 - P(Z < 0.08)

                                                     = 1 - 0.53188 = 0.46812

<em>Therefore, P(12 hours < X < 15 hours) = 0.64058 - 0.46812 = 0.1725</em>

Hence, probability that deliberation will last between 12 and 15 hours is 0.1725.                                                 

7 0
3 years ago
Please help me with how to solve this equation by completing the square. The answer should be (2, -6)
OLga [1]

Answer:

(2, -6)

Step-by-step explanation:

5n^2+20n-60

(5n+30)(n-2)

5n + 30 = 0

5n = -30

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answer: (2, -6)

5 0
3 years ago
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Amanda [17]

Answer:

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Step-by-step explanation:

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