Answer:
a
The null hypothesis is 
The alternative hypothesis 
b
c
The decision rule is
Fail to reject the null hypothesis
Step-by-step explanation:
From the question we are told that
The value given is
S/N
1 7 5
2 4 3
3 8 7
4 8 8
5 7 9
6 7 5
7 6 5
Generally the sample mean for the first sample is mathematically represented as
=> 
=> 
Generally the sample mean for the second sample is mathematically represented as
=> 
=> 
Generally the sample standard deviation for the first sample is mathematically represented as
=> 
=> 
Generally the sample standard deviation for the second sample is mathematically represented as
=> 
=> 
Generally the pooled standard deviation is
=> 
=> 
The null hypothesis is
The alternative hypothesis
Generally the test statistics is mathematically represented as
=> 
=> 
Generally the degree of freedom is mathematically represented as
=> 
=> 
From the t distribution table the probability of at a degree of freedom of is
Generally the p-value is
From the values obtained we see that 
hence
The decision rule is
Fail to reject the null hypothesis
You can do this using synthetic division, which is the easiest way. If x - 2 = 0, then x = 2. That 2 will go outside the "box" and the leading coefficients of the terms in the polynomial will go inside the "box". 2 (1 -3 -10 24). Bring down the first number, the
1. Multiply that 1 by the 2 to get 2. Put that 2 up under the -3 and add to get
-1. Multiply that -1 by the 2 to get -2. Put that =-2 up under the -10 and add to get
-12. Multiply that -12 by the 2 to get -24. Put the -24 up under the 24 and add to get 0. That means that x - 2 is a factor of the polynomial. What's left, the bolded numbers, are the coefficients of a new polynomial that is one degree less than the polynomial you started with. In other words, when we divide your polynomial by x-2, you get
.
Answer:
16,000 lb.
Step-by-step explanation:
For every ton, it equals 2,000 pounds. So to find how many pounds is in 8 tons, just multiply 2,000 by 8. This would give you 16,000 pounds!
This is of course using the U.S. tons, so if you want to convert it for metric tons it would be 17,632 since 1 metric ton = 2204.
I hope this was able to help!
So first what you want to do is take 98 and subtract it by 48. Which gives us 50. Now what we do is that since we are finding two numbers we would have to divide that by half, which would give us 25. Both of them are now equal. To find the number that makes that difference, we need to add 48 to one of the 25 values. Which would be 73. Meaning that the two numbers are 73 and 25. They both add up to 98 and 73 has a difference of 48 from 25.
5/1 or 5 as slope is the rise or y, over the run or x
