Answer: 1 cup of macaroni for 3 cups of water
Step-by-step explanation:
9/27 divided 3=1 cup/3 cup
Answer:
d. Cluster
Step-by-step explanation:
Random: Random is asking a group of people from a population. For example, to estimate the proportion of Buffalo residents who are Bills fans, you ask 100 Buffalo residents and estimate to the entire population.
Systematic: Similar to random. For example, you want to estimate something about a population, and your sample is every 5th people you see on the street.
Cluster:Divides the population into groups, with geographic characteristics.. Each element is the groups is used. Suppose you want to study the voting choices of Buffalo Bills players. You can divide into offense, defense and special teams, and ask each player of these 3 groups.
Stratified: Done on a group of clusters, that is, from each cluster(group), a number of people are selected.
In this problem, we have that:
All employees at three stores of a large retail chain were asked to fill out a survey.
Divided by clusters(stores).
So the orrect answer is:
d. Cluster
The point-slope form:
m - slope
(x₁, y₁) - the point
The formula of a slope:
We have the points (5, 4) and (2, -2). Substitute:
- <em>point-slope form</em>
<em>add 4 to both sides</em>
- <em>slope-intercept form</em>
<em>subtract 2x from both sides</em>
<em>change the signs</em>
- <em>standard form</em>
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From the table we have two points (1, 3) and (2, 7). SubstituteL
- <em>point-slope form</em>
<em>add 3 to both sides</em>
- <em>slope-intercept form</em>
<em>subtract 4x from both sides</em>
<em>change the signs</em>
- <em>standard form</em>
Answer:
72 degrees
Step-by-step explanation:
180-108=72
where I got 180: a supplementary angle is 180 degrees
Perimeter = 2(Length) + 2(Width)
300 = 2L + 2W → 150 = L + W → 150 - L = W
Area = Length · Width
= L(150 - L) → = 150L - L²
There are 2 different methods for solving (depending on which math course you are taking).
<u>Calculus</u>: find the derivative, set it equal to zero, and solve for L.
= 150L - L² → 0 = 150 - 2L → 2L = 150 → L = 75
<u>Algebra</u>: find the vertex.
= - L² + 150L → L = -b/2a → L = -150/2(-1) → L = 75
Once you solve for L, plug it into the Perimeter equation to solve for W:
150 - L = W → 150 - 75 = W → W = 75
Answer: 75ft x 75ft
