Answer:
-2
Step-by-step explanation:
3(a+1.5)=-1.5
a+1.5 = - 1.5/3 = - 0.5
a = - 0.5 - 1.5 = - 2
9514 1404 393
Answer:
∠Q = 89°
∠R = 123°
∠S = 91°
Step-by-step explanation:
It seems easiest to start by finding the measures of each of the arcs. The measure of an arc is double the measure of the inscribed angle it subtends.
arc QRS = 2·∠P = 114°
So, ...
arc QR = arc QRS - arc RS = 114° -41° = 73°
The total of the arcs around the circle is 360°, so ...
arc PQ = 360° -arc PS -arc QRS
arc PQ = 360° -137° -114° = 109°
__
∠Q = (1/2)(arc RS + arc PS) = (1/2)(41° +137°)
∠Q = 89°
__
∠R = (1/2)(arc PS +arc PQ) = (1/2)(137° +109°)
∠R = 123°
__
∠S = (1/2)(arc PQ +arc QR) = (1/2)(109° +73°)
∠S = 91°
Answer:
4
Step-by-step explanation:
2(10 -6x)=x -8x
20 - 12x = x - 8x
20 = x - 8x + 12x
20 = 5x
20 / 5 = x
x = 4
100%/x%=12/15
<span>(100/x)*x=(12/15)*x - </span>we multiply both sides of the equation by x
<span>100=0.8*x - </span>we divide both sides of the equation by (0.8) to get x
<span>100/0.8=x </span>
<span>125=x </span>
<span>x=125
so 125%</span>
Answer: The margin of error is 12.74.
Step-by-step explanation:
Since we have given that
Standard deviation = 6.5
Mean = 255
Let 95% level of significance,
So, z value = 1.96
We need to find the "Margin of error":
So, it becomes :
Margin of error = Standard deviation × z-value
Margin of error = 
Hence, the margin of error is 12.74.
