Answer:
y = ± 
Step-by-step explanation:
Given
x = a - 2by² ( subtract a from both sides )
x - a = - 2by² ( multiply through by - 1 to clear the leading negative )
a - x = 2by² ( divide both sides by 2b )
= y² ( take the square root of both sides )
y = ± 
Answer:
4.4 m
Step-by-step explanation:
Draw the height of the triangle (perpendicular line from point A to line BC). Since ABC is an isosceles triangle, the height is a perpendicular bisector, so it splits the triangle into two congruent right triangles.
Use Pythagorean theorem to find the height.
c² = a² + b²
(8.5 m)² = (14.5/2 m)² + h²
h ≈ 4.4 m
Answer:
(20 divided by 4) is the quotient
Step-by-step explanation:
Answer:
Use the formula π*(r^2) where r is radius
Area of big circle, all 3=314.1592654 (approximately) and this is =100%
Area of middle circle=153.93804
Area of small circle=78.53981634
Percentage of middle circle with small circle = (153.93804/314.1592654)*100= 48.999999999999 approx= 49%
Percentage of small circle alone = (78.53981634/314.1592654)*100
= 25%
So 51%= big circle alone
And 51%+25%= 76%
100%-76%=24%
Answer:
C. Different sample proportions would result each time, but for either sample size, they would be centered (have their mean) at the true population proportion.
Step-by-step explanation:
From the given information;
A political polling agency wants to take a random sample of registered voters and ask whether or not they will vote for a certain candidate.
A random sample is usually an outcome of any experiment that cannot be predicted before the result.
SO;
One plan is to select 400 voters, another plan is to select 1,600 voters
If the study were conducted repeatedly (selecting different samples of people each time);
Different sample proportions would result each time, but for either sample size, they would be centered (have their mean) at the true population proportion. This is because a sample proportion deals with random experiments that cannot be predicted in advance and they are quite known to be centered about the population proportion.