Answer:
The upper boundary of the 95% confidence interval for the average unload time is 264.97 minutes
Step-by-step explanation:
We have the standard deviation for the sample, but not for the population, so we use the students t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 35 - 1 = 35
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 34 degrees of freedom(y-axis) and a confidence level of ![1 - \frac{1 - 0.9}{2} = 0.975([tex]t_{975}](https://tex.z-dn.net/?f=1%20-%20%5Cfrac%7B1%20-%200.9%7D%7B2%7D%20%3D%200.975%28%5Btex%5Dt_%7B975%7D)
). So we have T = 2.0322
The margin of error is:
M = T*s = 2.0322*30 = 60.97
The upper end of the interval is the sample mean added to M. So it is 204 + 60.97 = 264.97
The upper boundary of the 95% confidence interval for the average unload time is 264.97 minutes
Answer:
2. x = 47
3. x = 2
Step-by-step explanation:
These problems involve proportions, or equivalent ratios. You can solve for 'x' in each by using cross-multiplication and division.
2. 28(7) = 4(x + 2)
Distribute = 196 = 4x + 8
Subtract 8 from both sides: 196 - 8 = 4x + 8 - 8 or 188 = 4x
Solve for x: x = 47
3. 2(2x + 7) = 11(3x - 4)
Distribute: 4x + 14 = 33x - 44
Add 44 to both sides: 4x + 14 + 44 = 33x - 44 + 44 or 4x + 58 = 33x
Subtract 4x from both sides: 4x + 58 - 4x = 33x - 4x or 58 = 29x
Solve for x: x = 2
Answer:
Hmm.. I'm stumped
Step-by-step explanation:
Just here to say you can do it without brainly, you're smart!
Answer:
Angle JML= 132( given)
Triangle JML= 180( Angle sum property)
2x+ 48= KML( Exterior angle property)
In triangle JML,
76 + ∠L+ ∠KML=180°
∠KML=∠L( angles opposite to equal sides are equal)
76+2(2x+48)=180°
2(2x+48)=104°
2x=104-48=64°
x= 32°
Step-by-step explanation:
Hope it helps : )
First you need to write an equation or an inequality.
5+1.80x<=12
the x here is how many miles you are paying for, now you just solve for x.
5+1.80x<=12
-5 -5
1.80x<=7
/1.80 /1.80
x<=3.8
you can travel only three whole miles, you do not have enough money to go four full miles.
