Answer:
y = 120
Step-by-step explanation:
If y = 32 when x = 8, then <em>y</em> is 4 times the number of <em>x</em>. If x = 30, then (4)30 = 120.
Answer:
; line D in the options.
Step-by-step explanation:
The set of equations has no solutions if the two lines are parallel. A quick way to create a parallel line is to solve for y, put it in slope-intercept form. Else, as long as the cofficient of x and y are in the same ratio (in this case 1:1), the two lines are parallel, you just have to be careful not to pick the same line again!
The condition 
makes sure you are still getting lines (else you would get rid of both x and y); the condition 
makes sure you're not picking line A again, just written in a different form.
Now that we have the options:
A and C have a different ratio for the coefficient of x and y (2:1 and 1:2) so are not good.
Choice B is just a more complicated way to write the same line, you can see by dividing both sides by 2 and get back x+y=2.
Line D is correct.
Answer:
b. We are 95% confident that the population mean duration is between 6.9 and 8.2 days.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
95% confidence interval of 6.9 to 8.2 days for the mean expected duration of typical cold.
This means that we are 95% sure that the true duration of a typical cold(population mean) for all health adults in Georgia is between 6.9 and 8.2, which means that the correct answer is given by option b.
45 adult tickets were sold.
adult tickets = a
childrens tickets = b
a + b = 65
6a + 3.5b = 340
Subtract a from the equation on top to get b = 65 - a
Substitute into the second equation 6a + 3.5(65 - a) = 340
Simplify to make 6a + 227.5 - 3.5a = 340
6a - 3.5a = 340 - 227.5
Combine like terms so that 2.5a = 112.5
Divide both sides by 2.5 to isolate the variable a
Your final answer is a = 45
