Note that while the figure is made up of rectangle and parallelogram, then the area of this figure
1. The area of rectangle is
The vertices of rectangle are points A(-2,-2), B(0,-6), C(8,-2) and F(6,2). Then
Therefore,
2. The area of parallelogram can be calculated using formula
The base of parallelogram is segment CD with length
and the height has length 2 un. Then
3. Now
Answer:
- The mean for Group A is less than the mean for Group B.
- The median for Group A is less than the median for Group B.
- The mode for Group A is less than the mode for Group B.
Step-by-step explanation:
First, we can find the measures of center for each group.
<u>Group A</u>
Mode: 1
Median: (1 + 2) / 2 = 3 / 2 = 1.5
Mean: (1 * 5 + 2 * 4 + 3) / 10 = (5 + 8 + 3) / 10 = 16 / 10 = 1.6
<u>Group B</u>
Mode: 3
Median: 92 + 3) / 2 = 5 / 2 = 2.5
Mean: (1 * 3 + 2 * 2 + 3 * 4 + 5) / 10 = (3 + 4 + 12 + 5) / 10 = 24 / 10 = 2.4
From here, we can see that...
- The mean for Group A is less than the mean for Group B.
- The median for Group A is less than the median for Group B.
- The mode for Group A is less than the mode for Group B.
Hope this helps!
The necessary information's are already given in the question. Based on those information's the answer to the question can be easily determined.
Amount of water recirculated by the pump in 1/5 of an hour = 60 gallons
we already know
1/5 of an hour = (1/5) * 60 minutes
= 12 minutes
Then
Amount of water recirculated by
the pump in 60 minutes = (60/12) * 60 gallons
= 5 * 60 gallons
= 300 gallons
So the amount of water recirculated by the pump per hour is 300 gallons.
Answer:
x = - 5
Step-by-step explanation:
Given y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = - 18 when x = 3 , then
- 18 = 3k ( divide both sides by 3 )
- 6 = k
y = -6x ← equation of variation
When y = 30 , then
30 = - 6x ( divide both sides by - 6 )
- 5 = x
3x + 15 = 4 -15 -15
3x = 4 - 15
3x = -11
3x/3 = -11/3
x = -11/3
