The answer to the question is 5.
Answer: 0.4207
Step-by-step explanation:
Let be the sample mean area.
Given: Population mean : sq. feet
Standard deviation: sq. feet
Sample size : n= 10
The probability that the sample mean area is or less if the manufacturer’s claim is true.
Required probability = 0.4207
Answer:
b.10
Step-by-step explanation:
by applying pythagaras theorem
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Answer:
a) x = 60. b) b = 110. c) x = 20. d) x = 30.
Explanation:
For question a, 2x and 120° are opposite (vertical) angles so they must be the same measure according to the vertical angle theorem by definition, given they are angles formed by the transversal cutting two parallel lines. 2x = 120, so x = 60.
For question b, 130° and b + 20 are corresponding angles of the transversal cutting parallel lines, so they must be the same measure according to corresponding angle theorem(same side, one angle inner, and the other exterior of that) by definition. Given that they are both pairs of the same angle, they must be corresponding angles. 130° = b + 20, b = 110.
For question c, 120° and 2x + 20 are same side interior angles so they must be supplementary(add up to 180°) by definition. This is on the *same side* of the transversal inside the two parallel lines cut by it. 120° + 2x + 20° = 180°, x = 20°.
For question d, They are also on the same side but on the left so the same property of corresponding angles applies, so 3x + 10, and 100° must be the same measure. Therefore 3x + 10 = 100°, and x = 30.
Answer: c
This system has infinitely many solutions.
Step-by-step explanation:
Solve by substitution:
1) Solve for :
2) Substitute for in :
3) Simplify both sides of the equation:
Therefore, This system has infinitely many solutions.
Solve by elimination:
You can't solve this system of equations by elimination.
Solve by graphing:
The lines are directly on top of each other, Therefore there are infinitely many solutions.