Answer:
Hello again!
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3 / 3.9 = 0.76
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Step-by-step explanation:
Divide 3 by 3.9 to get 0.76.
Hope this helped you!
Answer:
y = -
x - 7
Step-by-step explanation:
Parallel lines have equal slopes.
Calculate the slope m of the given line using the slope formula
m = 
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, - 2) ← 2 points on the line
m =
= -
, thus
y = -
x + c ← is the partial equation
To find c substitute P(- 3, - 3) into the partial equation
- 3 = 4 + c ⇒ c = - 3 - 4 = - 7
y = -
x - 7 ← equation of parallel line
Total ratio = 4+7 = 11
33/11 = 3
4x3 = 12
7x3 = 21
so the two groups are 12:21
which is also = 4:7
Answer:
Wire used for square is 7.55 m.
Step-by-step explanation:
Let the length of wire cut for square be 'x'.
Given:
Total length of the wire = 25 m
Length of wire for square = 'x'
Length of wire for equilateral triangle = 
Now, area of square (a) = 
Area of equilateral triangle (e) is given as:

Now, total area (A) is given as:

Now, in order to maximize 'A', the derivative of area with respect to 'x' must be 0.
∴ 

Therefore, the length of the wire that is cut for square should be 7.55 m for maximum area.
Using sampling concepts, the population and the sample are given as follows:
d. population: 6,000 batches of 100 cards sample: every 100th batch.
<h3>What is sampling?</h3>
It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a <u>group containing elements of a population</u>. A sample has to be representative of the population, that is, it has to involve all segments of the population.
For example:
I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So I ask, lets say, 1000 randomly selected New York state residents whether they are Buffalo Bills fans, and then:
- The population is: All New York State residents.
- The sample is the 1000 randomly selected New York state residents.
Hence, in the situation described the population is the 6,000 batches of 100 cards, while the sample is every 100th batch, hence option d is correct.
More can be learned about sampling concepts at brainly.com/question/25122507
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