Split this figure into 3 shapes: 2 triangles and 1 trapezoid
Area of top triangle = 1/2(7)(2) = 7 square units
Area of bottom triangle = 1/2(3)(7) = 10.5 square units
Area of trapezoid = 1/2(3 + 6)(4) = 18 square units
Area of the polygon = 7 + 10.5 + 18 = 35.5 square units
Answer:
d=20/3 or 6.6 repeating
Step-by-step explanation:
Let's solve your equation step-by-step.
12−
3
4
(d+16)=−5
Step 1: Simplify both sides of the equation.
12−
3
4
(d+16)=−5
12+
−3
4
d+−12=−5(Distribute)
(
−3
4
d)+(12+−12)=−5(Combine Like Terms)
−3
4
d=−5
−3
4
d=−5Step 2: Multiply both sides by 4/(-3).
(
4
−3
)*(
−3
4
d)=(
4
−3
)*(−5)
d=
20
3
Answer:
d=
20
3
Answer: 2827 cm squared is the answer
(a)
Q1, the first quartile, 25th percentile, is greater than or equal to 1/4 of the points. It's in the first bar so we can estimate Q1=5. In reality the bar includes values from 0 to 9 or 10 (not clear which) and has around 37% of the points so we might estimate Q1 a bit higher as it's 2/3 of the points, say Q1=7.
The median is bigger than half the points. First bar is 37%, next is 22%, so its about halfway in the second bar, median=15
Third bar is 11%, so 70% so far. Four bar is 5%, so we're at the right end of the fourth bar for Q3, the third quartile, 75th percentile, say Q3=40
b
When the data is heavily skewed left like it is here, the median tends to be lower than the mean. The 5% of the data from 80 to 120 averages around 100 so adds 5 to the mean, and 8% of the data from the 60 to 80 adds another 5.6, 15% of the data from 40 to 60 adds about 7.5, plus the rest, so the mean is gonna be way bigger than the median of around 15.
