Answer:
f(x) = |x - 2| - 2
Step-by-step explanation:
Based on the shape of the graph, it's an absolute value function.
so the template for it is f(x) = |x|
From there, you can make some additions to show how much the graph has shifted from the template equation
since the graph went over to the left by 2 units and down by 2 units, this is added into the equation as follows:
f(x) = |x - 2| - 2
Using the combination formula, it is found that there are 220 ways to decide which countries to skip.
The order in which the countries are skipped is not important, hence the <em>combination formula </em>is used to solve this question.
<h3>What is the combination formula?</h3>
is the number of different combinations of x objects from a set of n elements, given by:

In this problem, 3 countries are skipped from a set of 12, hence the number of ways is given by:

More can be learned about the combination formula at brainly.com/question/25821700
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Answer:
D
Step-by-step explanation:
40 boys and 68 girls
let's start with variables and an equation.
boys: x
girls: 2x - 12
and we know that boys and girls make up the class. so let's add the two expressions.
x + 2x - 12 = 108
3x - 12 = 108
+ 12 + 12
3x = 120
x = 40 boys
BUT x is only the number of BOYS in the class. so we have to find girls now. let's plug in our value of x into the girls' equation.
2x - 12 = # of girls
2(40) -12 = # of girls
80 - 12 = # of girls
68 girls
let's check our answer!
68 + 40 does in fact add to 108, therefore our answer is correct.
Answer:
Step-by-step explanation:
Given that in a recent poll 1 of 1000 American adults, the number saying that exercise is an important part of daily life was 753.
Sample proportion = 
To find 90% confidence interval we must find std error of proportion first
As per central limit theorem, sample proportion will follow a normal distribution with mean = 0.753
Std error of proportion= 
90% Z critical value = 1.645
Margin of error = 1.645*0.01363 = 0.0224
Confidence interval lower bound = 0.753-0.0224=0.731
Upper bound = 0.775