The points you are looking for are the midpoints of segments JL and JK.
J(-2, -1), K(4, -5), L(0, -5)
The midpoint of segment JL is
(-2 + 0)/2, (-1 + (-5))/2) = (-2/2, -6/2) = (-1, -3)
The midpoint of segment JK is
(-2 + 4)/2, (-1 + (-5))/2) = (2/2, -6/2) = (1, -3)
Answer: The coordinates are (-1, -3), (1, -3)
The area for a rectangle is length × width.
The area for a parallelogram is base × height.
The area for a trapezoid is height (base 1 + base 2) ÷ 2. The area for a rhombus is base × height.
Hope this helps^^ :)
The answer is 8/10. If you multiply it by two (top and bottom) then you will get 8/10.
Answer:
we will fail to reject the null hypothesis and conclude that there's insufficient evidence to support the claim that the percentage is actually more than the reported percentage
Step-by-step explanation:
We are given;
Population proportion; p = 30% = 0.3
Sample proportion; p^ = 37% = 0.37
Sample size; n = 100
Let's define the hypotheses;
Null hypothesis; H0: p ≤ 0.3
Alternative hypothesis; Ha: p > 0.3
Formula for the test statistic is;
z = (p^ - p)/√(p(1 - p)/n)
Thus;
z = (0.37 - 0.3)/√(0.3(1 - 0.3)/100)
z = 0.07/0.04582575695
z = 1.53
From z-distribution table, at z=1.53 we have;
p-value = 1 - 0.9370 = 0.063
This p-value is greater than the significance level of 0.02 and thus we will fail to reject the null hypothesis and conclude that there's insufficient evidence to support the claim that the percentage is actually more than the reported percentage
