Answer:
A).3222
Step-by-step explanation:
For each student, there are only two possible outcomes. Either they are from Latvia, or they are not. We are choosing students without replacement. However, since the sample size is large, we can use the binomial distribution to approximate the hypergeometric distribution.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
480 students, of which 96 are from Latvia:
This means that 
Sample of 10 students:
This means that 
Probability that the sample contains at least three Latvian students.
Either there are less than three students from Latvia, or there are at least three. The sum of the probabilities of these events is 1. So

We want
, in which:

So





So

The closest option is A.
Answer:
The red is 1/3 and yellow is 1/4
Step-by-step explanation:
there are 3 colors and 1 of them is red so 1/3 same goes to the yellow 4 colors and is 1 yellow so 1/4
Answer:
The range would not change
Step-by-step explanation:
If we replaced one of the 7s with a 5, we still have a 7. The range will be the highest number minus the lowest number (7 - 1 = 6). So the range would still not change because we still have another 7.
Answer:
Perform a Dilation of 4 on point A (2, 3) which you can see in the picture below. Multiply the coordinates of the original point (2, 3), called the image, by 4. Image's coordinates = (2 * 4, 3 * 4) to get the coordinates of the image (8, 12).
Step-by-step explanation:
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Answer:
To graph this line, move one of the points to positive three on the horizontal (side to side) line and negative six on the vertical (up and down) line. To get a slope of negative 1/2 you move down one point and right two points, and you continue until you reach the edge of the graph. Then you do the opposite on the way up (up one and left two).
Hope this helps!