Answer:
x = 108°
Step-by-step explanation:
In a trapezoid, each lower base angle is supplementary to the upper base angle on the same side.
72° is a lower base angle and x the upper base angle on the same side, hence
x + 72 = 180 ( supplementary angles sum to 180° )
subtract 72 from both sides, thus
x = 108°
Answer:
Step-by-step explanation:
<u>Use points:</u>
- J(-2, -4), K(-3, -3), L(-5, -5)
<u>Apply the rule:</u>
<u>New points are:</u>
- J'(0, 0), K'(-1, 1), L'(-3, -1)
The answer would be .65 because 0.6513/20=0.65 So it is .65
Answer:
A. 25.14%
B. 0.99%
C. 100%
D. 86.07%
Step-by-step explanation:
μ = 52, σ = 3
Each problem gives you an x value and asks you to find a probability. First calculate the z score(s), then look up in a table or use a calculator.
z = (x − μ) / σ
A. Find P(x < 50)
z = (50 − 52) / 3
z = -0.67
P(z < -0.67) = 0.2514
B. Find P(x > 59)
z = (59 − 52) / 3
z = 2.33
P(z > 2.33) = 1 − 0.9901 = 0.0099
C. Find P(x > 40)
z = (40 − 52) / 3
z = -4
P(z > -4) = 1 − 0 = 1
D. Find P(48 < x < 57)
z₁ = (48 − 52) / 3
z₁ = -1.33
z₂ = (57 − 52) / 3
z₂ = 1.67
P(-1.33 < z < 1.67) = 0.9525 − 0.0918 = 0.8607
I used a z score table. For more accurate answers, use a calculator.
Answer:
d = w + 3 (first equation)
2d = 2w + 3 (second equation).
The second equation is equivalent to the first one.
In other words, two equations carry the same information as the first one, not more.
In the language of linear algebra, the system is dependent
