Answer:
Critical value t-score=2.701.
Step-by-step explanation:
When we calculate a confidence interval with an unknown population standard deviation, we estimate it from the sample standard deviation and use the t-score instead of the z-score.
The critical value for t depends on the level of confidence and the degrees of freedom.
If the sample size is 42, the degrees of freedom are:

For a confidence level of 99% and 41 degrees of freedom, the critical value of t is t=2.701.
Answer:
Step-by-step explanation:
From the given information:
Let X represent the amount of the stock that goes up in the first period; &
Let Y denote the cumulative amount that goes up in the first three periods.
Then,




∴

Answer: 
Step-by-step explanation:
The missing figure is attached.
The volume of grain that could completely fill this silo is the sum of the volume of the cylinder and the volume of the hemisphere.
By definition, the volume of a cylinder can be calculated with this formula:

Where "r" is the radius and "h" is the height.
In this case you know that:

And the volume of a hemisphere can be found using the following formula:

Where "r" is the radius.
In this case:

Therefore, the volume of grain that could completely fill this silo, rounded to the nearest whole number, is:

Answer:
See I don't know the answer but I did another one like this if it doesn't help you can report it no problem
Step-by-step explanation:
There are 2 different ways you can solve this problem and you'll get the same answer.
To help you visualize what you have to do, it might be easiest to translate your problem to a unit that easier to use.
Since you only have a ribbon 5 feet long, but you must cut it into 6 pieces, you know it won't even be 1 foot long.
One way to solve the problem would be to translate your 5-foot ribbon into a ribbon divided into inches.
1 foot = 12 inches
To find out how many inches long your ribbon is, you'll need to multiply the number of feet by 12.
Once you know that, then you can more easily divide it by 6. This will tell you how many inches each ribbon is.
Careful! the answer is to be put into feet so once you know how many inches long the ribbon is, you must then divide by 12 to get the correct answer in feet. Don't forget to round to the nearest tenth.
Another way to solve the problem is to simply divide the 5 feet by the number 6 and then round your number to the nearest tenth. It may be harder to visualize the answer this way, but you will get the same answer as if you translated your ribbon into inches and then divided by 12.
Good luck! I hope this helps!
A) x * y = 196A) x = 196 / y
B) x + y = 35Substituting A) into B)
B) 196 / y + y = 35Multiplying both sides by y
B) 196 + y^2 = 35yB) y^2 -35y + 196 = 0
X1 = 28X2 = 7