Get personalized answers to your unique questions on IDNLearn.com. Discover in-depth and trustworthy answers to all your questions from our experienced community members.
Sagot :
To complete the solution, we need to convert the range of wind speeds for a strong gale (41-47 knots) from knots to miles per hour (mph). Here is the detailed step-by-step explanation:
1. We know that the range for a strong gale is between 41 and 47 knots.
2. To convert from knots to mph, we use the conversion factor: [tex]\(1 \text{ knot} \approx 1.15 \text{ mph}\)[/tex].
3. To find the lower bound of the wind speed range in mph, multiply the lower bound in knots by the conversion factor:
[tex]\[ 41 \text{ knots} \times 1.15 \text{ mph/knot} = 47.15 \text{ mph} \][/tex]
4. To find the upper bound of the wind speed range in mph, multiply the upper bound in knots by the conversion factor:
[tex]\[ 47 \text{ knots} \times 1.15 \text{ mph/knot} = 54.05 \text{ mph} \][/tex]
5. The best estimate for the wind speed in mph can be taken as the average of the lower and upper bounds in mph:
[tex]\[ \frac{47.15 \text{ mph} + 54.05 \text{ mph}}{2} = 50.60 \text{ mph} \][/tex]
So, the best estimate for the wind speed during a strong gale, counted as 1.15 miles per hour for every knot, is [tex]\(50.60\)[/tex] miles per hour. Thus, the correct answer is [tex]\(50.60\)[/tex] miles/hour.
1. We know that the range for a strong gale is between 41 and 47 knots.
2. To convert from knots to mph, we use the conversion factor: [tex]\(1 \text{ knot} \approx 1.15 \text{ mph}\)[/tex].
3. To find the lower bound of the wind speed range in mph, multiply the lower bound in knots by the conversion factor:
[tex]\[ 41 \text{ knots} \times 1.15 \text{ mph/knot} = 47.15 \text{ mph} \][/tex]
4. To find the upper bound of the wind speed range in mph, multiply the upper bound in knots by the conversion factor:
[tex]\[ 47 \text{ knots} \times 1.15 \text{ mph/knot} = 54.05 \text{ mph} \][/tex]
5. The best estimate for the wind speed in mph can be taken as the average of the lower and upper bounds in mph:
[tex]\[ \frac{47.15 \text{ mph} + 54.05 \text{ mph}}{2} = 50.60 \text{ mph} \][/tex]
So, the best estimate for the wind speed during a strong gale, counted as 1.15 miles per hour for every knot, is [tex]\(50.60\)[/tex] miles per hour. Thus, the correct answer is [tex]\(50.60\)[/tex] miles/hour.
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Find precise solutions at IDNLearn.com. Thank you for trusting us with your queries, and we hope to see you again.