Answer:
Step-by-step explanation:
Please write points using parentheses: (4, 5) and (-4, 8}.
(4, 5) is in the 1st quadrant and (-4, 8} is in the 2nd. Reversing the order of these two points yields (-4, 8) and (4, 5). From this we can see that while moving from (-4, 8) to (4, 5) involves following a line with negative slope (because the y-coordinate decreases from 8 to 5 as the x-coordinate increases from -4 to +4). This sloping line is the hypotenuse of a right triangle. Draw a vertical line segment through (-4, 8) and a horizontal line segment through (4, 5). This hypotenuse, the vertical line segment and the horizontal line segment are the boundaries of the desired right triangle.
Answer:
SA ≈ 1134 cm²
General Formulas and Concepts:
<u>Math</u>
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
- Radius: r = d/2
- Surface Area of a Sphere: SA = 4πr²
Step-by-step explanation:
<u>Step 1: Define</u>
d = 19 cm
<u>Step 2: Find </u><em><u>SA</u></em>
- Substitute [R]: r = 19 cm/2
- Divide: r = 9.5 cm
- Substitute [SAS]: SA = 4π(9.5 cm)²
- Exponents: SA = 4π(90.25 cm²)
- Multiply: SA = 361π cm²
- Multiply: SA = 1134.11 cm²
- Round: SA ≈ 1134 cm²
Graph it on the Ti-84 and use the trace function to find the intersection.
The answer is
(-3,3)
We are looking to find P(X>60 students)
X is normally distributed with mean 50 and standard deviation 5
We need to find the z-score of 60 students

To find the probability of P(Z>2), we can do 1 - P(Z<2)
So we read the probability when Z<2 which is 0.9772, then subtract from one we get 0.0228
The number of students that has score more than 60 is 0.0228 x 1000 = 228 students
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