Triangle PQR is given to be a right triangle, so the Pythagorean theorem can be used to determine that RQ² + PR² = PQ².
<h3>What is Pythagorean theorem?</h3>
Pythagorean theorem is a mathematical expression in Euclidean geometry that can be used to solve for any of the three (3) side lengths of a right triangle.
Mathematically, Pythagorean's theorem is given by this formula:
x² + y² = z²
Triangle PQR is given to be a right triangle, so the Pythagorean theorem can be used to determine that RQ² + PR² = PQ². It is given that x² + y² = z² in triangle ABC, so z² = PQ² or AB = PQ.
The above information shows that the triangles are congruent because their three (3) sides are congruent. Therefore, to show that triangle PQR is a right triangle, we can use corresponding parts of the congruent triangles to show that PQ = AB, PR = AC and QR = BC.
Read more on Pythagorean theorem here: brainly.com/question/23200848
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Answer:
This test batch can be chosen in 2380 ways
Step-by-step explanation:
The order in which the batteries are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In how many ways can this test batch be chosen?
4 batteries from a set of 17. So
This test batch can be chosen in 2380 ways
I think it's 40° because the four sides are same just like a square !
Answer:
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest (number of children that may have a blood level that may impair development), on this case we know that:
Since we select a sample of 10 and the probability of success for each trial is 0.6
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And we want to find this probability:
They had 10,000 in August because they had 30,016 visitors with all 3 months combined so if they had 10,005 visitors in June and 10,011 visitors in July you add 10,005 + 10,011 which is 20,016 and to find the visitors in August you subtract 30,016 - 20,016 which gives you 10,000 so they had 10,000 visitors in August