Answer:
=3501 yards.
Step-by-step explanation:
The three ships form a triangle. From the Voyager the angle between the Norman and the Gladstone=180-(55+48)=77°
Let the position of the Voyager be V that of Norman be N and that of the Gladstone be G
Then, the distance between Norman and voyager is g
g/sin G=v/ Sin V
4590/Sin 77=g/Sin 48
g=(4590 Sin 48)/Sin 77
=3500.8 yards
The distance between the Norman and the voyager= 3501 yards.
Answer:
Shira: x = 8
Samuel: m = 0
Step-by-step explanation:
Shira's mistake was that she subtracted 2 from both sides instead of adding to on both sides.
Correct Solving:
2x - 2 = 14
Add 2 to both sides;
2x = 16
Divide both sides by 2;
x = 8
Samuel's mistake was that when he distributed -2 to 8m and 8 he put the wrong sign for -2 * 8.
Correct Solving:
-2(8m + 8) = -16
Distribute;
-16m - 16 = -16
Add 16 to both sides;
-16m = 0
Divide both sides by -16;
m = 0
Mean=0.48
standard deviation=0.01
thus using the z-score:
P(x>0.5) we shall have the following:
z=(0.5-0.48)/0.01=2
thus
P(x>0.5)
=1-P(x<0.5)
=1-P(z<2)
=1-0.9772
=0.0228
2x-4(x+1)=-13
1) we solve this equation:
2x-4(x+1)=-12
2x-4x-4=-12
-2x=-12+4
-2x=-8
x=-8/-2
x=4
2) we evalute x²-1
x²-1=4²-1=16-1=15
Answer: 15
