Probability is the answer
The drop down menus are not provided. However, I will help get the solution of the system of equation which is the requirement of the question.
<u><em>Answer:</em></u>
(3,14) and (-2,-1) are the solutions of the system
<u><em>Explanation:</em></u>
<u>The first equation given is:</u>
y = x² + 2x - 1 .........> equation I
<u>The second given equation is:</u>
y - 3x = 5
<u>This can be rewritten as:</u>
y = 3x + 5 ..........> equation II
<u>Equate equations I and II and solve for x as follows:</u>
x² + 2x - 1 = 3x + 5
x² + 2x - 1 - 3x - 5 = 0
x² - x - 6 = 0
(x-3)(x+2) = 0
either x-3 = 0 .........> x = 3
or x+2 = 0 ...........> x = -2
<u>Now, we get the values of y by substituting in equation II as follows:</u>
At x = 3:
y = 3x + 5
y = 3(3) + 5
y = 14
The first solution is (3,14)
At x = -2:
y = 3x + 5
y = 3(-2) + 5
y = -1
The second solution is (-2,-1)
Hope this helps :)
15/25 Divididing numerator and denominator by 5 we get:
3 / 5
Answer:
The correct answer for the question that is being presented above is this one: "The range of the function is all real numbers; The function has two x-intercepts. The statements about the graph of the function f(x) = 2x2 – x – 6 that are true includes: The range of the function is all real numbers; The function has two x-intercepts.
Step-by-step explanation:
Answer:
And we are 95% confident that the true mean of chloride concentration is between 0.375 and 0.377 cc/ cubic meter
Step-by-step explanation:
Data provided
represent the sample mean for the chloride concentration
population mean (variable of interest)
s=0.0012 represent the sample standard deviation
n=15 represent the sample size
Confidence interval
The confidence interval for the mean is given by the following formula:
(1)
Since we need to find the critical value first we need to begin finding the degreed of freedom
The Confidence is 0.95 or 95%, the significance would be 
and 
, and the critical value for this case with a t distribution with 14 degrees of freedom is 
And the confidence interval is:
And we are 95% confident that the true mean of chloride concentration is between 0.375 and 0.377 cc/ cubic meter
