9514 1404 393
Answer:
- 7.5 ft
- 32.5 ft, 5 ft
- 10.7 ft
Step-by-step explanation:
a) The starting height is h(0) = 7.5 feet, the constant in the quadratic function.
The irrigation system is positioned <u> 7.5 </u> feet above the ground
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b) The axis of symmetry for quadratic ax^2 +bx +c is x = -b/(2a). For this quadratic, that is x=-10/(2(-1)) = 5. This is the horizontal distance to the point of maximum height. The maximum height is ...
h(5) = (-5 +10)(5) +7.5 = 32.5 . . . feet
The spray reaches a maximum height of <u> 32.5 </u> feet at a horizontal distance of <u> 5 </u> feet from the sprinkler head.
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c) The maximum distance will be √32.5 + 5 ≈ 10.7 ft.
The spray reaches the ground at about <u> 10.7 </u> feet away.
The line to find: y = mx + b
the line perpendicular to y= 2/5x+6/6 so it has the slope m × 2/5 = -1
thus the slope m = -5/2
the line passes through the point (-2,6) so:
6 = (-5/2)×(-2) + b so b = 1
the equation of the line is y = -5/2x +1
Answer: The difference between M and mu is due to the sampling error is <u>-6.59
.</u>
Step-by-step explanation:
As per given:
in population, the average number of minutes spent in active play on weekends is μ = 65.87
In sample, the average number of minutes the children spend in active play on weekends is M = 59.28
Now, the difference between M and μ is due to the sampling error is M- μ
= 59.28 - 65.87
= -6.59
So, the difference between M and mu is due to the sampling error is <u>-6.59
.</u>
First off, you should see whether the data is qualitative or quantitative.
-Quantitative is the number that represents counts or measurements.
-Qualitative (aka Categorical) typically labels or non-numeric entries
So, and example of some qualitative graphs are:
-Bar Graphs: usually comparison of things
-Two Way Tables: typically a survey with the comparison of data
-Circle Graph (Pie Chart): percentages being compared from different categories
-Frequency Tables: shows how often something appears
Some examples of quantitative graphs are:
-Box and Whiskers: shows the low, high, median of 1st quartile, median, median of 3rd quartile, and the high of data
-Line Graph: shows the change of something over a period of time
-Histogram: compares the data using frequency intervals, like 1-5, 6-10, etc.
-Scatterplot: shows the correlation of the data
-Stem and Leaf: first number goes in stem, remaining parts of number goes in leaf depending on what the first number it was, and key to help
So if you're trying to link the graph to something in your life, the graph may vary depending on what the data is. If you're going height over the years you've lived, a line graph would be best. It really depends what in your life you are doing, so I hope I provided enough information to help you out. Hope this helps!
small frames ($8): s
large frames ($15): L
Cost: 8s + 15L = 239 ⇒ 1(8s + 15L = 239) ⇒ 8s + 15L = 239
Quantity: s + L = 22 ⇒ -8( s + L = 22) ⇒ <u> -8s -8 L = -176 </u>
7L = 63
L = 9
Quantity: s + L = 22 ⇒ s + (9) = 22 ⇒ s = 13
Answer: 13 small frames, 9 Large frames
