What is the value of x? Enter your answer in the box. x =
1 answer:
Answer:
By using the given information in the diagram, the value of x is 20.
Step-by-step explanation:
From looking at the diagram, the triangles appear to be similar. This means that they are going to have the same ratios between each side.
We are given two measurements on one side of the triangle, 11 and 121. We can find the ratio of these sides by dividing 121 by 11.
121 ÷ 11 = 11
So, the ratio between the two triangles is 11 which means that the ratio for the rest of the sides of the triangle is going to have a ratio of 11. Knowing this, we can turn this into a equation to find the value of x.
Cross multiply the terms.
1210 = 55x + 110
Subtract 110 from both sides of the equation.
1210 - 110 = 55x + 110 - 110
1100 = 55x
Divide 55 from both sides of the equation.
1100/55 = 55x/55
20 = x
So, the value of x is 20.
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Answer:
5/4324 = 0.001156337
Step-by-step explanation:
To better understand the hyper-geometric distribution consider the following example:
There are 100 senators in the US Congress, and suppose 60 of them are republicans so 100 - 60 = 40 are democrats).
We extract a random sample of 30 senators and we want to answer this question:
What is the probability that 10 senators in the sample are republicans (and of course, 30 - 10 = 20 democrats)?
The answer using the h-g distribution is:
Now, imagine there are 56 senators (56 lottery numbers), 6 are republicans (6 winning numbers and 50 losers), we extract a sample of 6 senators (the bettor selects 6 numbers). What is the probability that 4 senators are republicans? (What is the probability that 4 numbers are winners?).
<em>As we see, the situation is exactly the same,</em> but changing the numbers. So the answer would be
Now compute each combination separately:
and now replace the values:
and that is it.
If the decimal expression is preferred then divide the fractions to get 0.001156337