Applying the definition of complementary angles, the value of x in the figure given is: 12
<h3>What are Complementary Angles?</h3>
Complementary angles are angles that give 90 degrees when added up.
(3x + 6) + 48 = 90 [definition of complementary angles]
Solve for x
3x + 54 = 90
3x = 90 - 54
3x = 36
x = 36/3
x = 12
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Answer:
B. 0.4542 to 0.5105
Step-by-step explanation:
A 90% confidence interval for p is calculated as:
This apply if n*p≥5 and n*(1-p)≥5
Where p is the proportion of sample, n is the size of the sample and is equal to 1.645 for a 90% confidence.
Then, in this case p, n*p and n*(1-p) are calculated as:
n*p = (850)(0.4824) = 410
n*(1-p) = (850)(1-0.4824) = 440
So, replacing values we get:
It means that a 90% confidence interval for p is 0.4542 to 0.5105
Answer: XY - Z
The value of Z cannot be larger than XY.
For instance, if he went shopping with XY = 25 dollars and spent Z = 9 dollars, then he's left with XY-Z = 25-9 = 16 dollars.