1-2. The best estimate for the population mean would be sample mean of 60 gallons. Since we know that the sample mean is the best point of estimate. Since sample size n=16 is less than 25, we use the t distribution. Assume population from normal distribution.
3. Given a=0.1, the t (0.05, df = n – 1 = 15)=1.75
4. xbar ± t*s/vn = 60 ± 1.75*20/4 = ( 51.25, 68.75)
5. Since the interval include 63, it is reasonable.
The point-slope form:
We have the point (1, 6) and the slope m = 7/3. Substitute:
<em>use distributive property</em>
<em>add 6 to both sides</em>
<em>multiply both sides by 3</em>
<em>subtract 7x from both sides</em>
<em>change the signs</em>
Answer:
point-slope form:
slope-intercept form:
standard form:
Answer: 30 students more voted for Gerardo than for Juju.
Explanation:
<u>so 'x' represent the total number of students</u>
<u />
<u>0.40x of the students voted for Gerardo</u>
<u />
<u>0.35x of the students voted for Leandro</u>
<u />
<u>0.25x of the students voted for Juju</u>
<u />
<u>70 students voted for Leandro:</u>
<u />
<u>0.35x = 70 </u>
<u />
<u>by solving we find:</u>
<u />
<u>x = 200 students</u>
<u />
<u>0.40x - 0.25x = (0.40 - 0.25)x = 0.15x = 0.15*200 = 30</u>
<u />
<u />
Answer:
Mean=685
Variance=36.7
Step-by-step explanation:
The mean of uniform discrete distribution can be expressed as the average of the boundaries
mean=( b+a)/2
The variance of uniform discrete distribution can be expressed as the difference of the boundaries decreased by 1 and squared, decreased by 1 and divided by 12.
σ²=[(b-a+1)^2 - 1]/12
We were given the wavelength from from 675 to 695 nm which means
a= 675, b= 695
We can now calculate the mean by using the expresion below
mean=( b+a)/2
Mean=( 675 + 695)/2
=685
The variance can be calculated by using the expression below
σ²=[(b-a+1)^2 - 1]/12
σ²=[(695-675+1)^2 -1]/12
σ²=440/12
σ²=36.7
Therefore, the the mean and variance, of the wavelength distribution for this radiation are 685 and 36.7 respectively
I think you've got it, I don't know man.
