If vector A⃗ has components Ax and Ay and makes an angle θ with the +x axis, then tanθ = Ay/Ax to get the angle of the vector components. Since the trigonometric function of tanθ is sinθ over cosθ, and since sinθ = y/r and cosθ = x/r.
<h2>At time 9 : 00 AM they are 135 miles apart.</h2>
Step-by-step explanation:
Nancy leaves the house at 7:00 A.M. and averages 15 miles per hour. Mark leaves at 7:15 A.M. and averages 60 miles per hour.
Let the time after the start of Mark when they are 135 miles apart be t hours.
Time traveled by Nancy = t + 7:15 - 7:00 = t + 15 minutes = (t+0.25) hours
They are traveling in the opposite direction so,
Distance between them = Speed of Nancy x Time of travel of Nancy + Speed of Nancy x Time of travel of Nancy
135 = 15 x (t+0.25) + 60 x t
135 = 15t + 3.75 + 60t
75t = 131.25
t = 1.75 hours = 1 hour 45 minutes
Time = 7: 15 + 1 hour 45 minutes = 9 : 00 AM
At time 9 : 00 AM they are 135 miles apart.
It is d- the function is a line
The value of y is equal to 2
Answer:
[0.9 months, 32.69 months]
Step-by-step explanation:
The mean is
The standard deviation is
Now, we have to find two values a and b such that the area under the Normal curve with mean 16.8 and standard deviation 8.1092 between a and b equals <em>95% = 0.95
</em>
Using a spreadsheet we find these values are
a = 0.906
b = 32.694
<h3>(See picture)
</h3>
and our 95% confidence interval for the mean number of months elapsed since the last visit to a dentist for the population of students participating in the program rounded to two decimal places is
[0.9 months, 32.69 months]