What is 3x+4y=12 solve for y
1 answer:
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Answer:
In the picture above.
Step-by-step explanation:
I hope that it's a clear solution.
Good luck:)
Answer:
Top 10%: 5.35 millimeters
Bottom 10%: 5.17 millimeters
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
Top 10%
X when Z has a pvalue of 1-0.1 = 0.9. So X when Z = 1.28.
Bottom 10%
X when Z has a pvalue of 0.1. So X when Z = -1.28
Answer:
D. <em>a</em> = 11.71 and <em>b</em> = 15.56
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Trigonometry</u>
- All angles in a triangle add up to 180°
<u>Pre-Calculus</u>
- Law of Sines:
Step-by-step explanation:
<u>Step 1: Define</u>
AC = b
CB = a
AB = 7
m∠A = 45°
m∠B = 110°
m∠C = ?
<u>Step 2: Find missing ∠</u>
- Set up equation: m∠C + 45° + 110° = 180°
- Combine like terms: m∠C + 115° = 180°
- Isolate unknown: m∠C = 25°
<u>Step 3: Find measure of </u><em><u>b</u></em>
- Substitute:
- Cross-multiply:
- Isolate <em>b</em>:
- Evaluate:
- Round:
<u>Step 4: Find measure of </u><em><u>a</u></em>
- Substitute:
- Cross-multiply:
- Isolate <em>a</em>:
- Evaluate:
- Round: