Answer: x= 5
Step-by-step explanation:
8x+32=1/5(25x−15)−4x
8x + 32 = <u>25x -15</u> - 4x <u><em>- 25x -15/ 5</em></u>
5
8x + 32 = 5x -3 - 4x
8x + 4x - 5x = -32 - 3
7x =-35
x = 35/7
x= 5
keeping in mind that a year has 12 months, thus 6 months is really 6/12 of a year.

Using the z-distribution, it is found that the 90% confidence interval is given by: (0.6350, 0.6984).
<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 90% confidence level, hence
, z is the value of Z that has a p-value of
, so the critical value is z = 1.645.
The sample size and the estimate are given by:

Hence, the bounds of the interval are given by:


The 90% confidence interval is given by: (0.6350, 0.6984).
More can be learned about the z-distribution at brainly.com/question/25890103
#SPJ1
Answer:

Step-by-step explanation:
The general equation for a circle is

Where a and b are the x and y values of the centre. So comparing to your equation you can see that a is 2/3 and b is 0
The height is 12 cm, and the diameter of the base is 8 cm. Hope this helps!