Answer:
egers, Divisible
Nehal Kafle
how many positive integers with three digits have at least one digit divisible by 3?
There are a total of 900 three-digit positive integers, from 100 to 999.
To count the number of three-digit positive integers with at least one digit divisible by 3, we can use the principle of inclusion-exclusion.
First, we count the number of three-digit positive integers that have at least one digit divisible by 3. There are three possibilities for the position of the digit that is divisible by 3: it can be in the hundreds place, the tens place, or the units place.
For the hundreds place, there are 3 choices (3, 6, or 9) for the digit that is divisible by 3, and 10 choices for each of the other two digits. So there are 3 x 10 x 10 = 300 three-digit positive integers that have a digit divisible by 3 in the hundreds place.
Similarly, there are 3 x 10 x 10 = 300 three-digit positive integers that have a digit divisible by 3 in the tens place, and 3 x 10 x 10 = 300 three-digit positive integers that have a digit divisible by 3 in the units place.
However, we have overcounted the number of three-digit positive integers that have two or three digits divisible by 3. To correct for this, we need to subtract the number of three-digit positive integers that have two digits divisible by 3, and then add back in the number of three-digit positive integers that have all three digits divisible by 3.
There are two possibilities for the positions of the two digits that are divisible by 3: they can be in the hundreds and tens places, or in the tens and units places. For each of these cases, there are 3 x 3 = 9 choices for the two digits that are divisible by 3, and 10 choices for the remaining digit. So there are 2 x 9 x 10 = 180 three-digit positive integers that have two digits divisible by 3.
There is only one three-digit positive integer, 999, that has all three digits divisible by 3.
Therefore, the number of three-digit positive integers with at least one digit divisible by 3 is:
300 + 300 + 300 - 180 + 1 = 721
So there are 721 three-digit positive integers with at least one digit divisible by 3.
Nehal Kafle
When a patient has unequal pupils why is it most important ask if they have a history of eye surgery - EMT
When a patient has unequal pupils (anisocoria), it is important for an EMT to ask if they have a history of eye surgery because this may indicate a potential underlying cause of the anisocoria.
There are several conditions that can cause anisocoria, including nerve damage, medications, or underlying medical conditions such as brain tumors, aneurysms, or infections. However, if a patient has a history of eye surgery, this may suggest that the anisocoria is related to the surgery itself or to a complication of the surgery.
For example, anisocoria can be a complication of cataract surgery or corneal transplant surgery. It can also be a sign of other complications, such as retinal detachment or glaucoma, which may occur after eye surgery.
Therefore, if a patient has a history of eye surgery and presents with anisocoria, this information can help the EMT to determine the possible causes of the anisocoria and to provide appropriate care or transport to a medical facility that can manage the patient's condition.
Nehal Kafle
What particular provision do you feel is most important and why
As an AI language model, I cannot express personal feelings, opinions, or beliefs. However, I can provide information on what different people or experts in a particular field may consider as the most important provision of a law, regulation, or policy based on their experience and expertise.
For example, in the context of healthcare, different people or experts may have varying opinions on what provision is most important in a particular law or policy. A healthcare professional may consider access to affordable healthcare as the most important provision of a healthcare policy, while a patient advocacy group may prioritize patient privacy or the right to refuse medical treatment.
Similarly, in the context of environmental policy, an environmental scientist may consider the provision for reducing greenhouse gas emissions as the most important, while a conservationist may prioritize the protection of biodiversity and wildlife habitats.
Ultimately, the most important provision of a law or policy may depend on the goals, values, and priorities of the stakeholders involved, and may require a comprehensive understanding of the issue at hand.