Answer:
x=2 , y = 1
Step-by-step explanation:
x + 2(2x-3) = 4
x+4x-6=4
5x-6=4
5x= 10
x=10/5
x=2
subs x=2 into x +2y=4
2+2y=4
2y=2
y=2/2
y=1
A method I use is to write them down... several times like handwriting
Answer:
-3
Step-by-step explanation:
When a line is perpendicular, the slope becomes the opposite to the original. If the slope is 1/3, the perpendicular line's slope would be -3.
Answer:
The smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the population mean income is 48.
Step-by-step explanation:
The complete question is:
The mean salary of people living in a certain city is $37,500 with a standard deviation of $2,103. A sample of n people will be selected at random from those living in the city. Find the smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the population mean income. Round your answer up to the next largest whole number.
Solution:
The (1 - <em>α</em>)% confidence interval for population mean is:
The margin of error for this interval is:
The critical value of <em>z</em> for 90% confidence level is:
<em>z</em> = 1.645
Compute the required sample size as follows:
Thus, the smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the population mean income is 48.
SohCahToa
Sin: Opposite Over Hypotenuse
Cos: Adjacent Over Hypotenuse
Tan: Opposite Over Adjacent
68 Degrees is the angle we’re looking at.
X is Adjacent to the 68 degree angle, and 20 is the Hypotenuse.
Therefore, the answer is B. Cos