Answer:
lesser x = -4/3
greater x = -1
Step-by-step explanation:
4(y - 3) and 4y - 12
yes they are equivalent
4(y - 3) = 4y - 12 using the distributive property the result is the same.
Answer:
The range of values likely to contain the true value of the population parameter is between 44% and 52%.
Step-by-step explanation:
Confidence interval concepts:
A confidence interval has two bounds, a lower bound and an upper bound.
These bounds are dependent of the sample mean and of the margin of error.
The lower bound is the sample mean subtracted by the margin of error, while the upper bound is the margin of error added to the sample mean.
The confidence interval is likely to contain the true value of the population parameter.
In this question:
Sample mean: 48%
Margin of error: 4%
48 - 4 = 44%
48 + 4 = 52%
The range of values likely to contain the true value of the population parameter is between 44% and 52%.
Answer: Any isosceles triangle is a counter example. More specifically, a triangle with sides 7, 7 and 3
When forming your triangle, make sure you apply the triangle inequality theorem. This is the idea where adding any two sides leads to a result larger than the third side. So we have
7+7 = 14 which is larger than 3
7+3 = 10 which is larger than 7
By definition, an isosceles triangle has two congruent sides. Some books say "at least 2 congruent sides", but I'll go with the first definition. If you want all three sides to be congruent, then you'd go for the term "equilateral".
Since 5×4 is in brackets, we start with that
so 2÷3 (20)÷3+6÷7
we do ×/÷ first from the left
so 4.44+ 0.8571428571 = 5.301