The answer would be D) x = 11.
Add 5 to both sides (5x = 50 + 5)
Simplify 50 + 5 to 55 (5x = 55)
Divide both sides by 5 (x = 55/5)
Simplify 55/5 to 11 (x = 11)
Answer:
C
Step-by-step explanation:
The expression given is a difference of cubes and factors as
a³ - b³ = (a - b)(a² + ab + b²)
8
= (2
)³ ⇒ a = 2
27
= (3y²)³ ⇒ b = 3y²
Hence 2 factors are
(2 - 3y²) and
((2)² + (2 × 3y²) + (3y²)²)
= (4
+ 6y² + 9
)
Hence the factored form of the expression is C
Answer:
Part 1) The explanatory variable is the type of oven
It is a categorical variable
Part 2) The response variable is the baking time
It is a quantitative variable
part 3) two-sample z-test for proportions should be used for the test
Step-by-step explanation:
An explanatory variable is an independent variable that is not affected by all other variables. In this experiment, the type of oven is the input variable and it is not affected by any other variable
A categorical variable is one that has two or more categories without any intrinsic ordering of the categories. The type of oven is either gas or electric, so it is categorical.
A response variable is a dependent variable whose variation depends on other variables. The baking time in this experiment depends on the type of oven used
A quantitative variable is one that take on numerical values.
A two proportion z-test allows you to compare two proportions to see if they are the same. The null hypothesis (H0) for the test is that the proportions are the same. The alternate hypothesis (H1) is that the proportions are not the same.
Answer:
in the pics
Step-by-step explanation:
In case you are wondering, I used the pythagorean theorem. If you want to learn how to use it I suggest you google it, there are plenty of sites that explain how to use it.
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)
