Sets of three integers that could be right triangles are called pythagorean triples. the only pythagorean triple including 7 is 7, 24, and 25. so the length of the other leg is 24 and the length of the hypotenuse is 25. hope this helped!
Answer:
And replacing we got:
And then the estimator for the standard error is given by:
Step-by-step explanation:
For this case we have the following dataset given:
20.05, 20.56, 20.72, and 20.43
We can assume that the distribution for the sample mean is given by:
And the standard error for this case would be:
And we can estimate the deviation with the sample deviation:
And replacing we got:
And then the estimator for the standard error is given by:
Answer:
(-3,3) Hope that this does help!
Answer:
2100
Step-by-step explanation:
In how many ways can a group of 10 people be divided into three groups consisting of 2,3, and 5 people?
First, you need to choose 4 people to fill the first group.
The number of ways is (104) which equals to 210.
Then, pick 3 more people out of the remaining 6 to be in the second group. And then, pick 3 more out of the remaining 3.
However, we need to divide it by 2, since we don’t really care on the order of selection of group.
(63)(33)/2=10
So, there are 210 x 10 = 2100 ways
Answer:
See Below.
Step-by-step explanation:
Problem 1)
We want to simplify:
First, let's factor the denominators of each term. For the second term, we can use the difference of two squares. Hence:
Now, create a common denominator. To do this, we can multiply the first term by (<em>a</em> + 1) and the second term by (<em>a</em> + 2). Hence:
Add the fractions:
Factor:
Simplify:
We can expand. Therefore:
Problem 2)
We want to simplify:
Again, let's create a common denominator. First, let's factor out a negative from the second term:
Now to create a common denominator, we can multiply the first term by (<em>a</em> - <em>c</em>) and the second term by (<em>a</em> - <em>b</em>). Hence:
Subtract the fractions:
Distribute and simplify:
Cancel. Hence: