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Expression 4 (3n - 5) is equivalent to <em><u>C: 12n - 20</u></em>
<h3>Further explanation </h3>Algebraic expressions in mathematics are a combination of coefficients, numbers, variables, constants and arithmetic operations such as addition, subtraction, multiplication, and division.
The main composition of algebraic expressions are:
- 1. phrases
algebraic forms separated by arithmetic operations
consists of one phrase (monomial) to many phrases (polynomial)
- 2. variable
is a value that can be changed, can be in the form of letters, for example, x, y, a, b, etc.
- 3. constants
is a fixed value, can be a number
- 4. arithmetic operations ⇒ +, - , : , x
Calculation operations include multiply, divide, add, substract, etc.
There are several properties in integer multiplication operations
- 1. closed property
Multiplication between integers will produce integers too
- 2. commutative property
a x b = b x a
- 3. associative property
ax (bxc) = (axb) xc
- 4. identity
ax1 = 1 x a = a
- 5. distributive property
*<em> addition </em>
ax (b + c) = axb + axc
* <em>substraction </em>
ax (b-c) = axb - axc
We can use distributive property of <em>substraction </em>to solve the problem
"Equivalent to" means having the same value.
From the answer choices , which produce the same expression is C. 12n-20
<h3>Learn more </h3>6 squared divided by 2 (3) +4
an algebraic expression
Keywords: PEMDAS, arithmetic operations, multiply, Parentheses, equivalent to
Answer:
The score of a person who did better than 85% of all the test-takers was of 624.44.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
One year, the average score on the Math SAT was 500 and the standard deviation was 120.
This means that
What was the score of a person who did better than 85% of all the test-takers?
The 85th percentile, which is X when Z has a p-value of 0.85, so X when Z = 1.037.
The score of a person who did better than 85% of all the test-takers was of 624.44.