Try this solution:
Common view of the equation of the circle is (x-a)²+(y-b)²=r², where point (a;b) is centre of the circle, r - radius.
1. using the coordinates of the centre and point (2;13) it is possible to define the radius of the circle: r=√(5²+12²)=13;
the equation is (x+3)²+(y-1)²=13² or (x+3)²+(y-1)²=169;
2. using the coordinates of the centre and the radius: (x-2)²+(y-4)²=6² or (x-2)²+(y-4)²=36.
It is 100,000 because it is between 100,000 and 0 and it is closer to 100,000 then 0.
Answer:
1. The distances are accurate.
2. 57 miles
Step-by-step explanation:
<u>Quiz 1 solution</u>
1 mile = 1.60934 km
10 miles will be;
10 × 1.60934 = 16.0934 km
Distance on the sign is 16 km.
The distance is accurate since 16.0934 km rounded up to nearest kilometre is equal to 16 km.
13 miles will be;
13 × 1.60934 = 20.92142 km
The distance on the sign is 21 km
This distance is accurate since 20.92142 km rounded up to nearest kilometre equals 21 km
55 miles will be;
55 × 1.60934 = 88.5137 km
The distance on the sign is 89 km
The distance is accurate since 88.5137 km rounded up to nearest kilometre is 89 km.
<u>Quiz 2 solution</u>
1 km = 0.621371 miles
92 km will be;
92 × 0.621371 = 57.166132 miles
Rounding up the answer to nearest mile gives 57 miles.
Answer:
Part a:
p(z=1.43) find 1.43 in z table that'll be the answer for part a