Given:
Consider the expression is .
To find:
The value of given expression.
Solution:
We have,
It can be written as
Therefore, the value of given expression is .
Note: all options are incorrect.
Answer:
c = -9 ±√8
Step-by-step explanation:
You can solve for (c+9)²=64 by using inverse operations. Since the expression (c + 9) is under the operation of squaring, use a square root on both sides to undo it. Then continue using inverse operations to solve for C.
(c+9)²=64
√(c+9)² = √8
(c + 9) = ±√8
c = -9 ±√8
The equivalent expression for the given expression is 28p + 14q + 21r.
<h3>What is an equivalent expression?</h3>
An expression that gives the same value as the original expression when the same value of a variable is substituted is said to be an equivalent expression.
An equivalent expression is simplified to the original expression by using the distributive property.
<h3>What is distributive property?</h3>
The distributive property is
a(b + c) = ab + ac
<h3>Calculation:</h3>
The given expression is 7(4p + 2q + 3r)
Applying the distributive property,
7(4p + 2q + 3r) = 7(4p) + 7(2q) + 7(3r)
⇒ 28p + 14q + 21r
Thus, the equivalent expression for the given expression is 28p + 14q + 21r.
Learn more about an equivalent expression here:
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Answer: c. 72% is a statistic and 56% is a parameter.
Step-by-step explanation:
- A population is a large group of all possible observations required for a study by the researcher's point of view.
- A Sample is a finite subset of population that is used by researcher to represent the entire population in an analysis.
- A parameter is a number that measure a characteristic for the entire population.
- A statistic is a number that measure a characteristic for the sample.
- A statistics given an estimate to the population parameter.
Given : A study of voting chose 663 registered voters at random shortly after an election.
Population of interest : "registered voters"
Sample : " 663 registered voters "
72% of 663 registered voters said they had voted in the election.
⇒ Statistic = sample proportion registered voters voted in the election.= 72%
Election records show that only 56% of registered voters voted in the election.
⇒ Parameter = Population proportion of registered voters voted in the election = 56%
Hence, the correct answer is "c. 72% is a statistic and 56% is a parameter."
Answer:
30 blocks in total
Step-by-step explanation:
3 + 12 one way
+
12 + 3 back
=30