Answer:
x = 52
y = 38
Step-by-step explanation:
Angle x is supplementary to a 128º angle.
Supplementary angles add to 180
x+128 = 180
Subtract 128 from each side
x+128-128 = 180-128
x =52
Angle x and y are complementary.
Complementary angles add to 90
x+y =90
52+y =90
Subtract 52 from each side
52-52 +y = 90-52
y = 38
Answer:
Therefore the mean and standard deviation of his total score if he plays a full 18 holes are 160 and 
respectively.
Step-by-step explanation:
Given that,
For the first 9 holes X:
E(X) = 80
SD(X)=13
For the second 9 holes Y:
E(Y) = 80
SD(Y)=13
For the sum W=X+Y, the following properties holds for means , variance and standard deviation :
E(W)=E(X)+E(Y)
and
V(W)=V(X)+V(Y)
⇒SD²(W)=SD²(X)+SD²(Y) [ Variance = (standard deviation)²]
∴E(W)=E(X)+E(Y) = 80 +80=160
and
∴
Therefore the mean and standard deviation of his total score if he plays a full 18 holes are 160 and respectively.
The answer is 0
The formula is
n!/ r!(n-r)!
4!/ 9!(4-9)!
<span>1/2r + 4= 3/4r - 3/2
1/2 = 2/4
3/2 = 6/4
re-write
2/4r + 4 = 3/4r - 3/4
2/4r - 3/4r = -3/4 - 4
-1/4r = -4 3/4
r = (-4 3/4) / (-1/4)
r =(-4 3/4) * (-4)
r = 76/4
r = 19</span>
Answer:
x = 2 and y = 3
Step-by-step explanation:
For us to have a parallelogram, the opposite sides must be equal in length
Thus, we have it that;
2y + 2 = y + 5
2y - y = 5-2
y = 3
To get the value of x
y + 4 = 2x + 3
Recall y = 3: substitute this value
3 + 4 = 2x + 3
3+ 4 - 3 = 2x
2x = 4
x = 4/2
x = 2
