Answer:
The statement is False.
Step-by-step explanation:
Consider the provided information.
If a linear system has four equations and seven variables, then it must have infinitely many solutions.
We need to determine the above statement is true or false.
The above statement is false, it could be inconsistent, and therefore have no solutions,
For example:
Hence, there is no solution.
1.6 I think I’m sorry if it’s incorrect
Answer:
a). AB = 8 in
b). AB = 9.75 in
c). AC = 6.5 in
d). BC = 1.5 in
Step-by-step explanation:
a). Since, AB = AC + CB
Length of AC = 5 in. and CB = 3 in.
Therefore, AB = 5 + 3 = 8 in.
b). Given : AC = 6.25 in and CB = 3.5 in
Therefore, AB = AC + CB = 6.25 + 3.5
AB = 9.75 in.
c). Given: AB = 10.2 in. and BC = 3.7 in.
AB = AC + BC
AC = AB - BC
AC = 10.2 - 3.7
AC = 6.5 in
d). Given: AB = 4.75 in and AC = 3.25 in.
BC = AB - AC
BC = 4.75 - 3.25 = 1.5 in.
The expected value of the amount of average snowfall for over 30 years is 86.7 inches with a standard deviation of 40.4 inches. To verify if this particular trend continues, we must check the significance value of the amount snowfall for the past four years.
Given that the snowfall for past years are as follows: 115.7 inches, 62.9 inches, 168.5 inches, and 135.7 inches.
Thus the mean of the sample would be: (115.7 + 62.9 + 168.5 + 135.7)/4 = 120.7 inches.
To compute for the z-score, we have
z-score = (x – μ) / (σ / √n)
where x is the computed/measured value, μ is the expected mean, σ is the standard deviation, and n is the number of samples.
Using the information we have,
z-score (z) = (120.7 - 86.7) / (40.4/ √4) = 1.68
In order to reject the null hyptohesis our probability value must be less than the significance level of 5%. For our case, since z = 1.68, P-value = 0.093 > 0.05.
Therefore, the answer is B.
Answer
The answer and procedures of the exercise are attached in the following archives.
Step-by-step explanation:
You will find the procedures, formulas or necessary explanations in the archive attached below. If you have any question ask and I will aclare your doubts kindly.
