Answer:
x = 14.6
ZA = 30.8
ZB = 33.2
Step-by-step explanation:
First, solve x: (knowing all angles of a triangle are 180º)
116º + (2x + 4)º + (3x-13)º = 180º
116 + 2x + 4 + 3x - 13 = 180
2x + 3x = 180 + 13 - 4 - 116
5x = 73
x = 73/5 = 14.6
ZA = 3*14.6 - 13 = 30.8
ZB = 2*14.6 + 4 =33.2
Test:
116º + 33.2º + 30.8º = 180º
Answer:
4,262.50 m
842 acres
Step-by-step explanation:
Given that :
Park is rectangular in shape
Width of park = 800 m
Area of park = 3.41 km²
Width of park = 800 / 1000 = 0.8 km
Area of rectangle, A
A = l * w
l = Length ; w = width
3.41 = l * 0.8
3.41 = 0.8l
l = 3.41 / 0.8
l = 4.2625 km
Hence, length in meters :
4.2625 * 1000
= 4,262.50 m
B.)
1 km² is approximately 247 acres
3.41km² = 3.41 * 247
3.41 km² = 842.27
= 842 acres
To compare the two classes, the Coefficient of Variation (COV) can be used. The formula for COV is this:
C = s / x
where s is the standard deviation and x is the mean
For the first class:
C1 = 10.2 / 75.5
C1 = 0.1351 (13.51%)
For the second class:
C2 = 22.5 / 75.5
C2 = 0.2980 (29.80%)
The COV is a test of homogeneity. Looking at the values, the first class has more students having a grade closer to the average than the second class.
Answer:
5
Step-by-step explanation:
Answer:
125%
Step-by-step explanation:
Is means equals and of means multiply
40 = P * 32 where P is in decimal form
Divide each side by 32
40/32 = P
1.25 = P
Now change to percent form ( multiply by 100)
125%
