Answer:
Equation of midsegment line: y = (-1/4)x + 2.
Step-by-step explanation:
If the parallel sides of a trapezoid are contained by the lines:-
y = (-1/4)x +5 and y = (-1/4)x - 1
Midsegment of any trapezoid is the line segment
1. that is parallel to pair of parallel side of trapezoid and
2. that passes through the middle of the trapezoid and cuts the other two sides into equal-half.
It means the midsegment would have same slope as the parallel lines and y-intercept would be in the middle of intercepts of parallel lines.
So y = mx + b
where m = -1/4 and b = (5 - 1)/2 = 4/2 = 2.
Hence, the equation of midsegment would be y = (-1/4)x + 2.
Answer:
The large sample n = 1713.96
Step-by-step explanation:
<u>Explanation</u>:-
given the population proportion was estimated to be 0.22
population proportion (P) = 0.22
The 95 % level of significance = 1.96≅ 2
The margin of error = 0.02
The formula of margin error
… ( i )
Substitute 'p' values in equation (1)
cross multiplication and simplification, we get
squaring on both sides, we get
the large sample n = 1713.96
False...it does not include 3....it includes only numbers less then 3.
For it to include 3, u would need an equal sign in there..
Y < = 3...(thats less then or equal)...this would include 3
Answer:
one solution
Step-by-step explanation:
3(x-2) =22 -x
Distribute
3x - 6 = 22-x
Add x to each side
3x+x-6 = 22-x+x
4x+6 = 22
Subtract 6 from each side
4x+6-6 = 22-6
4x= 16
Divide by 4
4x/4 = 16/4
x=4
There is one solution
Answer:
d
Step-by-step explanation:
(f - g)(x) = f(x) - g(x)
f(x) - g(x)
= x³ - 2x + 6 - (2x³ + 3x² - 4x + 2) ← distribute parenthesis by - 1
= x³ - 2x + 6 - 2x³ - 3x² + 4x - 2 ← collect like terms
= - x³ - 3x² + 2x + 4 → d
