Perpendicular.
Parallel lines will have the same slope (1/6 and 1/6 or -6 and -6)
Perpendicular lines will have opposite reciprocal slopes. (1/6 and -6)
A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The volume of the cylinder is 1330.4644 cm³.
<h3>What is a cylinder?</h3>
A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centers overlap each other to form a right cylinder.
Given the height of the cylinder is 14 cm, while the diameter of the cylinder is 11 cm. Therefore, the volume of the cylinder can be written as,
The volume of the cylinder = (π/4)×(D²) × H
= (π/4)×(11)² × 14
= 1330.5 cm³
Hence, the volume of the cylinder is 1330.5cm³.
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Answer:
P [ K > 3.95] = 0.5633
Step-by-step explanation:
The interpretation of the given question goes thus;
Suppose that K is a random variable
P[-3.95 ≤ K ≤ 3.95] = 0.725
where; P [ + 3.95 < K ] = P [K < - 3.95]
P[K< 3.95] - P [K > - 3.95] =0.725
P [K < 3.95] - [ 1- P[K < 3.95]] = 0.725
P[k < 3.95] - 1 + P [ K < 3.95] = 0.725
3.95 P [ K < 3.95] -1 = 0.725
3.95 P [ K < 3.95] = 1.725
P [ K < 3.95] = 1.725/3.95
P [ K < 3.95] = 0.4367
P [ K > 3.95] = 1 - P[K< 3.95]
P [ K > 3.95] = 1 - 0.4367
P [ K > 3.95] = 0.5633
Answer: The number is 27
The system of equations is: 7x - 2y = 0
-9x + 9y = 45
<u>Step-by-step explanation:</u>
Let x represent the number in the tens place and y represent the number in the ones place. <u>x</u> <u>y</u>
Then 10x + y = 3(x + y)
When the digits are reversed: 10y + x = 10x + y + 45
Simplify each of the above equations and then create a system of equations:
10x + y = 3x + 3y → 7x - 2y = 0
10y + x = 10x + y + 45 → -9x + 9y = 45
9( 7x - 2y = 0) → 63x - 18y = 0
2(-9x + 9y = 45) → <u> -18x + 18y </u>=<u> 90</u>
45x = 90
x = 2
Input x = 2 into either equation to solve for y:
7x - 2y = 0
7(2) - 2y = 0
14 = 2y
7 = y
