Answer: The answer is 9/20
Step-by-step explanation: 45/100 is 45%. Divide both sides by 5. That is 9/20. After that, 9/20 is at it's simplest form.
9514 1404 393
Answer:
x = 27°
Step-by-step explanation:
The supplements of each angle are complementary:
(180 -6x) +(180 -4x) = 90 . . . . . . . . assumes x is in degrees
270 = 10x . . . . . . add 10x-90
27 = x . . . . . . . . . divide by 10
You need to know where the line crosses the y axis (vertical) - AKA the y intercept, and the slope of the line.
The y intercept is 5. The slope is -1/3 because every time the line goes down one square, it also goes right three squares.
Equation:
y=mx+b
where m is the slope and b is the y intercept
y = 1/3x + 5
Another way to write the same thing
y = x/3 + 5
Both correct!
Answer:C. (77.29, 85.71)
Step-by-step explanation:
We want to determine a 95% confidence interval for the mean test score of randomly selected students.
Number of sample, n = 25
Mean, u = 81.5
Standard deviation, s = 10.2
For a confidence level of 95%, the corresponding z value is 1.96. This is determined from the normal distribution table.
We will apply the formula
Confidence interval
= mean +/- z ×standard deviation/√n
It becomes
81.5 +/- 1.96 × 10.2/√25
= 81.5 +/- 1.96 × 2.04
= 81.5 +/- 3.9984
The lower end of the confidence interval is 81.5 - 3.9984 =77.5016
The upper end of the confidence interval is 81.5 + 3.9984 =85.4984
Therefore, the correct option is
C. (77.29, 85.71)
Answer:
14580
Step-by-step explanation:
