Answer:
The value of z is:
z = 6
Step-by-step explanation:
We have been given 4 options of z. Lets substitute each value in the given equation to see which option satisfies.
<h3 /><h3>For z = 3</h3>
sin(9z - 1) = cos(6z + 1)
sin(9(3) - 1) = cos(6(3) + 1)
sin(26) = cos(19)
0.438 = 0.945
FALSE
<h3 /><h3>For z = 4</h3>
sin(9z - 1) = cos(6z + 1)
sin(9(4) - 1) = cos(6(4) + 1)
sin(35) = cos(25)
0.574 = 0.965
FALSE
<h3 /><h3>For z = 5</h3>
sin(9z - 1) = cos(6z + 1)
sin(9(5) - 1) = cos(6(5) + 1)
sin(44) = cos(31)
0.695 = 0.857
FALSE
<h3 /><h3>For z = 6</h3>
sin(9z - 1) = cos(6z + 1)
sin(9(6) - 1) = cos(6(6) + 1)
sin(53) = cos(37)
0.799 = 0.799
TRUE
<h3 />
Answer:
Standard Deviation = 3.22
Variance = 10.36
Step-by-step explanation:
x P(x) x × P(x) x² x² × P(x)
19 0.20 3.8 361 72.2
10 0.20 2 100 20
11 0.30 3.3 121 36.3
12 0.20 2.4 144 28.8
13 0.10 1.3 169 16.9
____________________________________________
12.8 174.2 => Total
<em><u>Mean Formula</u></em>
<em><u>Variance Formula</u></em>
![\sigma _x^2 = \sum[x^2 \times P(x)] - \mu_x^2](https://tex.z-dn.net/?f=%5Csigma%20_x%5E2%20%3D%20%5Csum%5Bx%5E2%20%5Ctimes%20P%28x%29%5D%20-%20%5Cmu_x%5E2)
<em><u>Standard Deviation Formula</u></em>
The answer to the problem is 12-6x
Answer:
x = 11
y = 3
Step-by-step explanation:
In a parallelogram opposite sides are equal.
8x = 88
x = 88/8
x = 11
4y - 7 = y + 2
4y = y + 2 + 7
4y = y + 9
4y - y = 9
3y = 9
y = 9/3
y = 3
