Answer:
x= 200
Step-by-step explanation:
The given equation is:
1/5 x - 2/3 y = 30
The value of y is 15
Put the value of y in the given equation:
1/5 x - 2/3(15) = 30
1/5 x- 10 = 30
Take the L.C.M of the denominator
x-50/5 = 30
Move the denominator to the R.H.S
x-50 = 30*5
x-50 = 150
Combine the like terms
x= 150+50
x = 200
The value of x is 200...
Answer:
(-∞, -7) ∪ (-3, ∞)
Step-by-step explanation:
The line y=0 is the x-axis. The graph is above the x-axis for x < -7 and for x > -3. The solution set is ...
(-∞, -7) ∪ (-3, ∞)
Using the z-distribution, as we have a proportion, the 95% confidence interval is (0.2316, 0.3112).
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:

In which:
is the sample proportion.
In this problem, we have a 95% confidence level, hence
, z is the value of Z that has a p-value of
, so the critical value is z = 1.96.
We also consider that 130 out of the 479 season ticket holders spent $1000 or more at the previous two home football games, hence:

Hence the bounds of the interval are found as follows:


The 95% confidence interval is (0.2316, 0.3112).
More can be learned about the z-distribution at brainly.com/question/25890103

Domain restrictions are what x values make the denominator zero.
a² + 5a - 36 = (a + 9)(a - 4)
a ≠ -9 ; a ≠ 4
For the first one its 7/2 and the second one is 7/6
and u cant covert them into a proper fraction you can only covert them into a improper fracion