Answer:
y = 65
Step-by-step explanation:
45 + 57 = x + y
x = 37
45 + 57 = 37 + y
45 + 57 = 102
102 = 37 + y
102 = 37 + y
-37 -37
102 - 37 = 65
37 + y - 37 = y
65 = y
y = 65
No. Just because the angles are all less than 90 degrees, that doesn't tell us anything about the sides. The sides are all congruent ONLY if all 3 angles are 60 degrees each. If the angles all have different sizes, then so do the sides.
The probability that in any one sample, two calculators or less will be faulty is; 100%
<h3>Probability and Random sampling</h3>
According to the task content;
- A statement of fact indicates that; 20% of the calculators produced in a factory are faulty.
Hence, it follows that, when a sample of 10 calculators is selected randomly each day, 2 of the calculators are faulty by proportion.
Ultimately, the probability that in any one sample, two calculators or less will be faulty is; 100%.
Read more on probability and Random sampling;
brainly.com/question/25403659
Answer: D. Getting at least 2 heads and Getting at least 2 tails
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Explanation:
Choice A is not disjoint because "getting at least 1 tail" could have the sequence TTH. We see that we have two tails and exactly one head. So the events "getting exactly 1 head" and "Getting at least 1 tail" are possible to occur at the same time; therefore, they aren't disjoint events. Disjoint events are two events that cannot occur simultaneously. An example would be flipping heads and tails on the same coin at the same time.
Choice B is also not disjoint. We could have the sequence THT, which has at least one head and at least one tail. "At least" means that amount or more.
Choice C is also not disjoint. We could have the sequence HTT. This has exactly one head and at least two tails.
Choice D is the only thing left. It must be the answer. It is not possible to get 2 heads and 2 tails when Roger only flips the coin 3 times. He would need to flip the coin at least 4 times for this to happen. The portions "at least" don't even need to be considered. So this shows how choice D is disjoint.
