A tree in Kevin's backyard is 5/8 meters tall. It has been growing for 1 2/5 years. What is the unit rate in meters per year? No
2 answers:
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Notice* No options are provided, so I will solve the expression.
Answer:
Step-by-step explanation:
Step 1: Simplify
Step 2: Rewriting the whole as an Equivalent Fraction
Subtracting a fraction from a whole
Rewrite the whole as a fraction using 5 as the denominator :
5x = 5x/1 = 5x * 5/5
<em>Equivalent fraction</em> : The fraction thus generated looks different but has the same value as the whole
<em>Common denominator </em>: The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
dding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
5x • 5 - (4) 25x - 4
-------------- = ---------
5 5
Step 3: Simplify 25/4
Rewriting the whole as an Equivalent Fraction :
Adding a whole to a fraction
Rewrite the whole as a fraction using 4 as the denominator :
29 = 29/1 = 29 * 4/4
Adding fractions that have a common denominator :
Adding up the two equivalent fractions
5 • (25x-4) + 29 • 4 125x + 96
--------------------------- = -----------
4 4
Final result :
125x + 96
—————————
4
___________
Terms and topics:
- Dividing exponents
- Polynomial roots
- Nonlinear equations
- Equations which are reducible to quadratic
- Reducing fractions to lowest terms
Given:
mean, u = 0
standard deviation σ = 1
Let's determine the following:
(a) Probability of an outcome that is more than -1.26.
Here, we are to find: P(x > -1.26).
Apply the formula:
Thus, we have:
Using the standard normal table, we have:
NORMSDIST(-1.26) = 0.1038
Therefore, the probability of an outcome that is more than -1.26 is 0.1038
(b) Probability of an outcome that