Find x of the triangle
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The inequality x²+6x +8 ≥ 195 represents the provided situation option (D) x²+ 6x +8 ≥ 195 is correct.
<h3>What is inequality?</h3>It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
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We have building B was built two years before building C.
The age of C is represented by x
Age of Building B:
b = x + 2
Building D was built two years before building B
Age of Building d= x+4
The product of the building B’s age and building D’s age is at least 195.
b×d ≥ 195
(x+ 2)(x+4) ≥ 195
After solving we get:
x²+ 6x +8 ≥ 195
Thus, the inequality x²+6x +8 ≥ 195 represents the provided situation option (D) x²+ 6x +8 ≥ 195 is correct.
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To find the solution we will first find the difference between each number and mean, and then substitute the value in the formula of standard deviation.
The standard deviation is 8.4477 and the variance is 71.40.
Given to us
- Test scores of Adimas = (76, 87, 65, 88, 67, 84, 77, 82, 91, 85, 90)
- Mean = 81
difference between each number and mean,
= 25 + 36 + 256 + 49 + 196 + 9 + 16 + 1 + 100 +16 + 81
= 785
Variance =
= 71.40
Hence, the standard deviation is 8.4477 and the variance is 71.40.
Learn more about Standard Deviation:
Answer:
Step-by-step explanation:
Let x minutes be the time spent on skills and y minutes be the time spent on conditioning that Greg can complete this week.
1. To avoid excess fatigue, his coach requires Greg to spend no more than 360 minutes training in any week, then
2. When Greg trains, he either spends 45 minutes on skills or 35 minutes on conditioning. If Greg spends x minutes on skills, then is the number of skills training sessions. If Greg spends y minutes on conditioning, then
is the number of conditioning training sessions. His schedule this week allows him to complete at most 8 training sessions, then
Therefore, the following system of inequalities can be used to determine the time spent on skills, x, and the time spent on conditioning, y, that Greg can complete this week