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ale4655 [162]
3 years ago
15

5 barrels catch rainwater in the schoolyard. Four barrels are the same size, and the fifth barrel holds 10 liters of water. Comb

ined, the 5 barrels can hold at least 200 liters of water. Write an inequality whose solution is the possible size of each of the 4 barrels.
How are these two problems similar? How are they different?
Mathematics
1 answer:
ch4aika [34]3 years ago
3 0

Answer:

The volume each of the four barrels of the same size will be at least 47.5 liters.

Step-by-step explanation:

Let the volume of each of the four barrels is v liters.

Now, the amount of water that can be held in the fifth barrel is 10 liters. The total capacity of holding water for the 5 barrels combines is at least 200 liters.

So, from the above-given information, we can write the inequality to determine the volume of each of the four barrels will be  

10 + 4v ≥ 200

Solving this we get,

4v ≥ 190

⇒ v ≥ 47.5

Therefore, the volume each of the four barrels of the same size will be at least 47.5 liters. (Answer)

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Answer:

A

Step-by-step explanation:

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3 years ago
Assume that IQ scores are normally distributed with a mean of 100 and a standard deviation of 16. If 100 people are randomly sel
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Answer:

0.03 is  the probability that for the sample mean IQ score is greater than 103.      

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 100

Standard Deviation, σ = 16

Sample size, n = 100

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

Formula:

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

Standard error due to sampling =

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P( mean IQ score is greater than 103)

P(x > 103)

P( x > 103) = P( z > \displaystyle\frac{103 - 100}{1.6}) = P(z > 1.875)

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

P(x > 103) = 1 - 0.970 =0.03= 3\%

0.03 is  the probability that for the sample mean IQ score is greater than 103.

7 0
3 years ago
What is the equation that represents the line that passes through the point (2,6) and has a slope of -5?
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Answer:

y = - 5x + 16

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 5, thus

y = - 5x + c ← is the partial equation of the line

To find c substitute (2, 6) into the partial equation

6 = - 10 + c ⇒ c = 6 + 10 = 16

y = - 5x + 16 ← equation of line

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Divide by 4 on each side

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