Beacuse <span>A square by definition is a "plane figure having four equal sides." Rectangles' sides are not equal and hence cannot be a square.
A rectangle by definition is a "four-sided plane figure with 4 right angles" - which also implies that a square can be a rectangle because it is also a four-sided plane figure with 4 right angles...... hope this helps</span>
Answer:
Step-by-step explanation:
let x = number of of hot dogs that 105 people will do
therefore
14 people = 21 hot dogs
105 people = x hot dogs
14 x 105 people = 21 x Xhotdogs
1470 = 21X
divide through by 21
1470/21 = 21X/21
70 = X
X = 70
therefore,
105 people will makev 70 hot dogs
Answer:
See below
Step-by-step explanation:
Expand L side to get
4n -12 -2n < -10 + 2n simplify L side
2n -12 < -10 +2n subtract 2n from both sides
<u>-12 < -10 </u> <===== so the equation is true for ALL n
(-∞ , + ∞ )
Get all the x terms on one side, and the w on the other.
Add 37x on both sides to get 56x+rx=w.
Use the distributive property backwards to get x(56+r)=w.
Divide by 56+r on both sides to get x=w/(56+r)
The probability that the sample proportion is within ± 0.02 of the population proportion is 0.3328
<h3>How to determine the probability?</h3>
The given parameters are:
- Sample size, n = 100
- Population proportion, p = 82%
Start by calculating the mean:
Calculate the standard deviation:
Within ± 0.02 of the population proportion are:
Calculate the z-scores at these points using:
So, we have:
The probability is then represented as:
P(x ± 0.02) = P(-0.43 < z < 0.43)
Using the z table of probabilities, we have:
P(x ± 0.02) = 0.3328
Hence, the probability that the sample proportion is within ± 0.02 of the population proportion is 0.3328
Read more about probability at:
brainly.com/question/25870256
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