Q + d = 16....q = 16 - d
0.25q + 0.10d = 3.10
0.25(16 - d) + 0.10d = 3.10
4 - 0.25d + 0.10d = 3.10
-0.25d + 0.10d = 3.10 - 4
-0.15d = -0.90
d = -0.90/-0.15
d = 6...dimes
q + d = 16
q + 6 = 16
q = 16 - 6
q = 10...quarters
so there are (10 - 6) = 4 more quarters then dimes
I'll write "x" instead theta.
sin x + 1 = cos(2x)
formula: cos(2x) = 1 - 2sin²x
sin x + 1 = 1 - 2sin²x
2sin²x + sin x = 0
sin x (2sin x + 1) = 0
sin x = 0 or sin x = -1/2
x1 = πk and x2 = -π/6 + 2πk and
x3 = 5π/6 + 2πk
for domain 0≤x<2π :
x1 = 0 (for k=0 in x1)
x2 = π (for k=1 in x1
x3 = 11π/6 (for k=1 in x2)
x4 = 5π/6 (for k=0 in x3).
k is an integral.
Answer:
2(4x+1/4)
Step-by-step explanation:
You can put all of these equations into the Desmos Graphing Calculator and you will see that 2(4x+1/4) and -6x+3 3/4+14x-3.25 are equal to each other.
You cannot really see it in the picture below, but the purple 2(4x+1/4) line and the red -6x+3 3/4+14x-3.25 line are overlapping each other.
3x+50 = 6x - 10
6x -3x = 50+10
3x = 60
x = 20
answer
x = 20
Answer:
33.2%
Step-by-step explanation:
Calculate the z-scores.
z = (x − μ) / σ
z₁ = (82 − 100) / 15
z₁ = -1.2
z₂ = (98 − 100) / 15
z₂ = -0.133
Use a chart or calculate to find the probability.
P(-1.2 < Z < -0.133) = P(Z < -0.133) − P(Z < -1.2)
P(-1.2 < Z < -0.133) = 0.4470 − 0.1151
P(-1.2 < Z < -0.133) = 0.3319
Rounded to the nearest tenth, the percentage is 33.2%.
