To create algebraic expressions that represent quantities, translate the verbal description into mathematical terms following the sentence’s structure. For example, “one minus a number equals zero” becomes
1. 1 – n = 0.
Another example: John bought 25 apples and Julia bought 15. If Niccole bought twice as many as Julia, how many apples did Niccole buy?<span><span>
Steps:</span>First, restate the situation clearly so you can identify the relationship and how to form the expression.</span>
<span><span>
Solution:</span>Julia = 15 apples
Niccole = 2Julia
</span>Thus, 2Julia = 2(15) = 30 apples.
Answer: the likelihood of a randomly selected tire lasting exactly 47,500 miles is 0.067
Step-by-step explanation:
Since the expected lifespan of this tire brand follows a normal distribution, we will use the normal distribution formula:
z = (x - µ)/σ
Where
x = lifespan of the tire in miles.
µ = mean
σ = standard deviation
The given figures include,
µ = 40000 miles
σ = 5000 miles
The probability that a tire will last precisely 47,500 miles
P(x = 47500)
For x = 47500,
z = (40000 - 47500) / 5000 = -1.5
According to the standard normal distribution table, the probability associated with this z score is 0.067
x = 3
-2 | 2.2(3) - 3.3 | = -6.6
-2 | 6.6 - 3.3 | = -6.6
-2 | 3.3 | = -6.6
-2 * 3.3 = -6.6
-6.6 = -6.6
