Answer:
x = √53
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Define</u>
We are given a right triangle. We can use PT to solve for the missing length.
<u>Step 2: Identify Variables</u>
Leg <em>a</em> = 6
Leg <em>b</em> = <em>x</em>
Hypotenuse <em>c</em> = √89
<u>Step 3: Solve for </u><em><u>x</u></em>
- Set up equation: 6² + x² = (√89)²
- Isolate <em>x</em> term: x² = (√89)² - 6²
- Exponents: x² = 89 - 36
- Subtract: x² = 53
- Isolate <em>x</em>: x = √53
Answer:
a₁ = 7
r = 3
a_n = a_1(rⁿ⁻¹)
a₁₀ = 7(3¹⁰⁻¹
a₁₀ = 7(3⁹)
a₁₀ = 7(19683)
a₁₀ = 137 781
Step-by-step explanation:
50% of the data values are greater than 45, it is calculated using the concept of box-whisker plot.
In a box-whisker plot as shown it is given in the picture ,
A rectangular shaped box with two lines with a vertical mark which denotes the minimum, first quartile, median , third quartile and maximum quartile.
It is used in descriptive statistics.
So as per the given question box-whisker plot represents some data set .There is a number 45 just corresponding to it there is a vertical line which shows that 45 is the median of the data and here 45 is the 50th percentile,
It means that there is 50 % values are greater than 45 and 50% values are greater than 45.
By this method we can quickly find out the percentage of data for which data the value is greater or lesser. It helps in analyzing the data and interpreting the results.
Hence 50% values are greater than 45.
You can find more about box- whisker plot method: brainly.com/question/1535617
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