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:
9:6 27:18 and 81:54
Step-by-step explanations:
3x^3+2x^2-32x+2 | x-3
-----------------
-3X^3+9x^2 3x^2 +11x+1
-------------------------
/ 11x^2-32x+2
-11x^2+33x
------------------
/ x+2
-x+3
-------
/ 5
⇒ (3 x^3+2X^2-32x+2) : (x-3)= 3x^2+11x+1 rest 5
First one should be = to each other the second one I can’t help with and the third one is a>a
365 days by 24 = 15.20833 periods multiplied by 8.4 % = 127.8%