Simplest form of:
12/30=2/5
12/20=3/5
21/35=3/5
To prove a quadrilateral<span> is a </span>parallelogram<span>, you must use one of these five ways. </span>Prove that<span> both pairs of opposite sides </span>are<span> parallel. </span>Prove that<span> both pairs of opposite sides </span>are<span> congruent.</span>Prove that<span> one pair of opposite sides is both congruent </span>and<span> parallel. </span>Prove that<span> the diagonals bisect each other.</span>
Answer:
Explanation:
You can convert the percent markup into a multiplicative factor in this way:
Base price: 15,800 . . . (cost to the seller)
Percent mark up: 115% . . . (based on the cost to the seller)
Sale price: 15,800 + 115% of x = 15,800 + 115 × 15,800 /100 =
= 15,800 + 1.15 × 15,800 = 15,800 (2.15) = 33,970
The markup is:
- Markup = price paid by the seller - cost to the seller = 33,970 - 15,800 = 18,170 (notice that this is 115% of 15,800)
And <em>the percent markup based on the sale price is</em>:
- % = (markup / sale price) × 100 = (18,700 / 33,970) × 100 =
= 53.49 %
Rounding to the nearest tenth percent that is 53.5 %.
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:
A. f(-1) = -3, f(7) = 13
Step-by-step explanation:
✔️When input (n) = -1:
f(n) = 2n - 1
f(-1) = 2(-1) - 1
f(-1) = -2 - 1 = -3
✔️When input (n) = 7:
f(n) = 2n - 1
f(7) = 2(7) - 1
f(-1) = 14 - 1 = 13