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:
I also
need points sorry :(
Step-by-step explanation:
Answer:
Step-by-step explanation:
Solution:-
The position of any particle or object lying on a circular surface which is rotating with an angular speed of ( w ).
The motion of the particle/object can be expressed as sinusoidal or harmonic motion. We can express the motion of the particle in the cartesian coordinate system using a sinusoidal waveform.
The position of the particle/object from the central axis at time t = 0 can be given in the form:
h ( t ) = A*sin ( w*t )
Where, A: The amplitude of the particle in motion ( in )
w: The angular frequency of rotation ( rad/s )
The amplitude ( A ) of the sinusoidal waveform is determined from the maximum displacement of the particle/object from the horizontal axis which defined by the radius of the fidget spinner where the particle is located. Hence, A = 4 in
The fidget rotates at 3000 rpm. We need to determine the angular speed of the particle. Assuming no slip conditions, the particle also rotates at 3000 rpm.
We will first convert 3000 rpm into rad/s as follows:
The sinusoidal function that models h ( t ) can be written as:
Answer:
∠ ADC = 145°
Step-by-step explanation:
The central angle is equal to the measure of the arc that subtends it, then
∠ ADE = 70°
∠ EDC = 75°
∠ ADC = ∠ ADE + ∠ EDC = 70° + 75° = 145°
