<span>You have to calculate z-scores for each of these values and then compare them with what is needed for the 80%tile on a Normal curve.
z = (value - mean)/(standard deviation) = (value-60.0)/0.5.
z= 1 has 84% of the values smaller.</span>
Answer:
31
Step-by-step explanation:
Recognize that all angles of a triangle add up to 180 degrees, so your equation would be x + 16 + x + 24 + 78 = 180.
<em>Step 1: Combine like-terms.</em>
2x + 118 = 180
<em>Step 2: Subtract 118 from both sides to isolate the variable.</em>
2x = 62
<em>Step 3: Simplify</em>
x = 31
Let x be the number of students in the SECOND most popular host country.
Let x + 8383 be the number of students in the most popular host country.
x + (x + 8383) = 50127
2x = 50127 - 8383
x = 41744/2
x = 20872
therefore, the number of students in the SECOND most popular host country is 20872 and the number of students in the most popular host country is 29255.
For exponential functions
y=ab^x,
where
a is the scale vertical stretch factor,
b is the base, and
x the exponent (also independent variable)
It is a know fact that if the scale factor (1/2 or 2 in the answer choices) is positive, the graph is increasing if the base (3 or 1/3) is greater than 1.
This means that the base cannot be equal to 1/3. This eliminates choices 3 and 4.
Next, for a base greater than 1 (3>1), and the scale factor positive, it is a dilation (image gets bigger) if the scale factor is greater than 1. This eliminates the first choice where a=2.
This leaves us with the second choice where a=1/2, b=3, which is a shrink of the given exponential base function.