It is the same distance from the point A to CD
Answer:
51
Step-by-step explanation:
The order goes as follows:
Lower Extreme, Lower Quartile, Median, Higher Quartile, Higher Extreme
The Higher Extreme is the highest quantity.
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The number of square feet of the carpet is the area of the carpet
The number of square feet of outdoor carpet is 32 feet
<h3>How to determine the number of square feet</h3>
To do this, we simply divide the carpet to regular shapes.
The outdoor carpet can be divided to the following shapes from top to bottom
- Rectangle of 4 ft by 2 ft
- Rectangle of 6 ft by 2 ft
- Rectangle of 6 ft by 2 ft
So, the area of the outdoor carpet is:
Area = 4 * 2 + 6 * 2 + 6 * 2
This gives
Area = 32
Hence, the number of square feet of outdoor carpet is 32 feet
Read more about areas at:
brainly.com/question/24487155
Answer:
460 is part of the confidence interval, which means that we cannot say that there is significant evidence that the mean mathematics SAT score for entering freshmen class is greater than 460
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Z-table as such z has a p-value of .
That is z with a pvalue of , so Z = 2.575.
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 436 - 27.4 = 408.6.
The upper end of the interval is the sample mean added to M. So it is 436 + 27.4 = 463.4.
460 is part of the confidence interval, which means that we cannot say that there is significant evidence that the mean mathematics SAT score for entering freshmen class is greater than 460
Answer:
Slope of the Curve:
Equation of Tangent Line: y + 3 = -3/2(x + 2)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Point-Slope Form: y - y₁ = m(x - x₁)
- x₁ - x coordinate
- y₁ - y coordinate
- m - slope
<u>Calculus</u>
The definition of a derivative is the slope of the tangent line.
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Quotient Rule:
Step-by-step explanation:
<u>Step 1: Define</u>
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<u />
<u>Step 2: Take Derivative</u>
- Quotient Rule:
- Multiply:
- Subtract:
<u>Step 3: Find Instantaneous Derivative</u>
- Substitute in <em>x</em>:
- Exponents:
- Simplify:
This value shows the slope of the tangent line at the exact value of x = 2.
- Substitute: y + 3 = -3/2(x + 2)