Answer:
385 golf balls
Step-by-step explanation:
margin of error = (z*)(s) / sqrt n
where z* = 1.96 with 5%/ 2 = 0.025 area in each tail
margin of error = (z*)(s) / sqrt n
1.2 yards = (1.96)(12 yards) / sqrt n
solve for n
n = 384.16
385 golf balls (always round up)
Answer:
1832 miles
Step-by-step explanation:
First we need to find the angle between the routes of the planes.
If one is N30°W and the other is S45°W, we can find the angle between the routes with the following equation:
30 + angle + 45 = 180
angle = 105°
Then, we need to find the distance travelled by each plane, using the formula:
distance = speed * time
The time is 1.5 hours, so we have that:
distance1 = 800 * 1.5 = 1200 km
distance2 = 750 * 1.5 = 1125 km
Now, to find the distance between the planes, we can use the law of cosines:
distance^2 = 1200^2 + 1125^2 - 2*1200*1125*cos(105)
distance^2 = 3356214.43
distance = 1832 miles
According to my calculations, after 200 miles, the prices will be equal.
After Applying Laws of Exponents we can write as 
<h3>What is law of exponents ?</h3>
The exponent of a number indicates how many times a number has been multiplied by itself. For instance, 34 indicates that we have multiplied 3 four times. Its full form is 3 3 3 3. Exponent is another name for a number's power. A whole number, fraction, negative number, or decimal are all acceptable.
<h3>How are powers of powers multiplied?</h3>
Exponents with distinct bases and the same powers can be multiplied by multiplying the bases and writing the power outside of the brackets.
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