Answer:
using Pythagoras rule, 16^2 -7^2 =a^2
so 256-49 = 297.
√207 =14.38 to the nearest tenth of an inch is 14inch.which is your answer
Answer:
The volume of the rectangular pyramid is 80cm³
Step-by-step explanation:
To calculate the volume of a rectangular pyramid we have to use the following formula:
v = volume
w = width = 8 cm
l = length = 6 cm
h = height = 5 cm
v = (w * l * h) / 3
we replace the values that we know
v = (8cm * 6cm * 5 cm) / 3
v = 80cm³
The volume of the rectangular pyramid is 80cm³
Part a)
MAD = median of absolute deviations
MAD = median of the set formed by : |each value - Median|
Then, first you have to find the median of the original set
The original set is (<span>38, 43, 45, 50, 51, 56, 67)
The median is the value of the middle (when the set is sorte). This is 50.
Now calculate the absolute deviation of each data from the median of the data.
1) |38 - 50| = 12
2) |43 - 50| = 7
3) |45 - 50| = 5
4) |50 - 50| = 0
5) |51 - 50| = 1
6) |56 - 50| = 6
7) |67 - 50| = 17
Now arrange the asolute deviations in order
(0, 1, 5, 6, 7, 12, 17)
The median is the value of the middle: 6.
Then the MAD is 6.
Part b) MAD represents the median of the of the absolute deviations from the median of the data.
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12.
y = kx
8 = -4k
so k = -2
y = -2x
y = -2 (7)
y = -14
13.
y = kx
15 = 6k
so k = 15/6 = 2.5
y = 2.5x
y = 2.5 (7)
y =17.5
14.
y = kx
3 = 9k
so k = 3/9 = 1/3
y = 1/3x
y = 1/3 (7)
y =7/3
15
y = kx
-4 = 4k
so k = -4/4 = -1
y = - x
y = - (7)
y = -7
16.
Yes. y varies directly with x
slope = (3+6)/(2+1) = 9/3 = 3
y = mx + b
-6= 3(-1) + b
b = -6 + 3 = -3
equation y = 3x -3
17.
Yes
slope = (2.5 - 7.5)/(-1+3) = -5/2 = -2.5
y = mx + b
7.5= -2.5(-3) + b
7.5 = 7.5 + b
so b = 0
equation
y = -2.5x
Well you would take 3*65 to get your answer. The answer would be 195 miles they drove. Hope it helped
