Solving the inequality given algebraically, the solution of the inequality for the value of m is:
<u>m < -4 OR m > 3</u>
<em><u>Given the following </u></em><em><u>inequality</u></em><em><u>,</u></em>
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or
4m + 3 > 15
Let's solve algebraically for the value of m in both inequality statements given.
Or
4m + 3 > 15
- Subtract 3 from each side
4m + 3 - 3 > 15 - 3
4m > 12
m > 3
Therefore, solving the inequality given algebraically, the solution of the inequality for the value of m is:
<u>m < -4 OR m > 3</u>
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The formula for finding the total interior angle measure is:
180(n-2)
n is the number of sides.
180(25-2) = 4140
So each interior angle would be: 165.6
4140/25 = 165.6
Hope this helps :)
Answer:
Step-by-step explanation:
we are given that A robot is expected to filter pollution out of at least 350 liters of air and water.
Also It filters air at the rate of 50 liters per minute, and it filters water at the rate of 20 liters per minute.
The inequality for number of minutes the robot should filter air (A) and water (W) to meet this expectations can be writte as follows:
Hence the required inequality has been formulated.
Answer:
The probability that the maximum number of draws is required is 0.2286
Step-by-step explanation:
The probability that the maximum number of draws happens when you pick <em>different colors in the first four pick</em>.
Assume you picked one sock in the first draw. Its probability is 1, since you can draw any sock.
In the second draw, 7 socks left and you can draw all but the one which is the pair of the first draw. Then the probability is 
In the third draw, 6 socks left and you can draw one of the two pair colors which are not drawn yet. Its probability is 
In the forth draw, 5 socks left and only one pair color, which is not drawn. The probability of drawing one of this pair is 
In the fifth draw, whatever you draw, you would have one matching pair.
The probability combined is 1× ×× ≈ 0.2286
