Answer:
The percentage change (an increase) wa 40%.
Step-by-step explanation:
The beginning number of acres was 100; adding 40 more brought that to 140 acres. This was an increase. Dividing the increase (40) by the starting value (100) yields 0.40. Finally, multiplying this result by 100% yields 40%.
The percentage change (an increase) wa 40%.
Answer:
Line XY and line MP are co-planar. Which statement shows that the lines are parallel?
A. Line XY and line MP never intersect.
B.Line XY and line MP share the same endpoint.
C.Line XY and line MP intersect at a 90° angle.
D.Line XY and line MP meet at a right angle.
so its a
Step-by-step explanation:
When a circle's diameter is 1, its circumference is π.
A: Suppose Mr. Moore decides to use 20 seventh graders as the sample. Is this sample a random sample? Explain your reasoning.
Ans: No, because he only chose the seventh graders which is invalid since he wants to have to use the mean height which involves the 6th, 7th and 8th graders.
B: Mr. Moore decides to use a random number generator to select 20 students from the school. Suppose that when choosing 20 students using the random generator on the graphing calculator, Mr. Moore’s sample is all eighth graders. Does that mean the sample is not a random sample? Explain your reasoning.
Ans: No, it is still a random sample. Since he is using a random generator, there is a possibility that the random generator would pick all students from the 8th grade. Unlike the first one, the random generator is not biased towards any grade, it is just a coincidence.
Answer:
2(x + 2)² - 5
Step-by-step explanation:
Given
2x² + 8x + 3
To obtain the required form use the method of completing the square.
The coefficient of the x² term must be 1, thus factor 2 out of 2x² + 8x
= 2(x² + 4x) + 3
add/subtract ( half the coefficient of the x- term)² to x² + 4x
= 2(x² + 2(2)x + 4 - 4) + 3
= 2(x + 2)² - 8 + 3
= 2(x + 2)² - 5
with p = 2 and q = - 5
