His weekly allowance is 14$
Answer:
Option D.
Step-by-step explanation:
Consider the below figure attached with this question.
If a line passes through two points and , then the equation of line is
From the below figure it is clear that the a solid line passes through the points (-2,0) and (0,4). So, the equation of related line is
All area above the solid line is shaded. It means the sign of inequality is ≥.
From the below figure it is clear that the a dashed line passes through the points (2,0) and (0,2). So, the equation of related line is
All area below the dashed line is shaded. It means the sign of inequality is <.
System of inequality is
Therefore, the correct option is D.
Answer:
0.3, 0.32, 0.321, 0.345
Step-by-step explanation:
The maximum number of decimals shown in the series is 3.
Therefore, let's rewrite all the numbers with three decimal places.
0.32, 0.321, 0.3, 0.345 can be written as
0.320, 0.321, 0.300, 0.345
Now, we can easily compare the numbers and we can conclude:
0.300 < 0.320 < 0.321 < 0.345
Hence, the smallest to largest order is:
0.3, 0.32, 0.321, 0.345
Answer:
D. a = 60 and b = 58.8
Step-by-step explanation:
Z-score:
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.
Z-score for data point a is 0.
This means that a is the mean, that is, a = 60.
The z-score for data point b is -0.4.
This means that b must be a value below the mean, that is, a value below 60.
The option that satisfies a = 60 and b < 60 is option D, which is the answer.
Answer:
x = 4√5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Trigonometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
Leg <em>a</em> = 8
Leg <em>b</em> = 4
Hypotenuse <em>c</em> = <em>x</em>
<em />
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [Pythagorean Theorem]: 8² + 4² = x²
- Evaluate exponents: 64 + 16 = x²
- Add: 80 = x²
- [Equality Property] Square root both sides: √80 = x
- Rewrite: x = √80
- Simplify: x = 4√5