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alexandr1967 [171]
2 years ago
15

Help plz with Algebra question I attached a file

Mathematics
1 answer:
astraxan [27]2 years ago
5 0

Answer:

x=4.63

Step-by-step explanation:

Area = (1/2) (base) (height)

20 = (1/2) (x+4) (x)

40 = x²+4x

x²+4x-40=0

Put in quadratic equation:

x=\frac{-4(+/-)\sqrt{4^{2}-4(1)(-40) } }{2(1)}

x=\frac{-4(+/-)\sqrt{176} }{2}

x=4.63324958071 or x=-8.63324958071

Since x can't be negative in this case we take our answer to be 4.63324958071, which rounds to 4.63

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The waking time of a student under common conditions is normally distributed with mean of 30 hours and a standard deviation of 5
Elina [12.6K]

Answer:

If the walking time is greater than or equal to 38.225 hours, than it exceeds 95% probability that is lie in top 5%.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 30 hours

Standard Deviation, σ = 5 hours

We are given that the distribution of waking time is a bell shaped distribution that is a normal distribution.

Formula:

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

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

P( X < x) = P( z < \displaystyle\frac{x - 30}{5})=0.95  

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

\displaystyle\frac{x - 30}{5} = 1.645\\\\x = 38.225  

Thus, if the walking time is greater than or equal to 38.225 hours, than it exceeds 95% probability that is lie in top 5%.

4 0
3 years ago
A hardware store sells rope at a fixed price per foot. A 50-foot piece of rope cost $12. Write an equation that relates C, the c
Masja [62]
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6/25 is the cost per foot
8 0
3 years ago
CT fffgghjkjhhgggggg​
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4 0
2 years ago
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Answer:

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Step-by-step explanation:

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6 0
3 years ago
A rectangular sheet of paper was folded in half 6 times. In the middle of this folded sheet, two holes were drilled. Then, the s
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Answer:

There will be 128 holes

Step-by-step explanation:

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7 0
3 years ago
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