The total time of flight of a projectile motion is calculated through the equation,
t = 2v₀sinФ/g
Substituting the known values,
t = (2)(12 m/s)(sin 90)/9.8 m/s²
t = 2.45 s
Thus, the total flight time of the ball in the atmosphere is 2.45 s.
Answer:
decrease by 50%
Step-by-step explanation:
Decreased by 60% = (100%-60%)x = 0.4x.
Decreased by 20% = (100%-20%)x = 0.8x.
initial fraction, and we can see that denominator will increase 2 times, so fraction will decrease 2 times, or decrease by 50%.
Answer:

Step-by-step explanation:
The point P(1,0) and T
are on the unit circle C and the arc length from P to T is x.
Let us assume that point P - x i.e. the point obtained by moving clock wise direction along the circle from P is T'.
Because of the symmetry of the circle about the coordinate axes, the x-coordinate of point T' will be
and the y-coordinate will be
.
So, coordinates of T' are
.
Here we must notice that point T' is the reflection point of T with respect to X-axis. (Answer)
Answer:
The 80% confidence interval for the population proportion of oil tankers that have spills each month is (0.199, 0.257).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
Suppose a sample of 333 tankers is drawn. Of these ships, 257 did not have spills.
333 - 257 = 76 have spills.
This means that
80% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 80% confidence interval for the population proportion of oil tankers that have spills each month is (0.199, 0.257).
Answer:
100 percent
Step-by-step explanation:
The value 40 increases to 80 meaning it doubles its value by one hundred percent.