Answer:
a. The probability that 359 or more of 1487 adults sleepwalked is zero (0).
b. Yes, it's significantly higher than the 21.6% of people who sleepwalked.
c. The result suggests 321 adults.
Step-by-step explanation:
a. The assumed 359 sleepwalked adults exceed the 21.6% correct rate. 359 sleepwalked adults give 24.1%.
b. Yes, it is significantly high because it's 24.1% instead of correctly assumed 21.6%.
c. 21.6% sleepwalked adults give 321.2 people. Hence, people can only be in whole of numbers. Therefore, it is 321 adults.
Answer: Option (A) is Correct.
Step-by-step explanation:
In exercising its oversight function, it is not unusual for congress to hold hearings.
Since congressional oversight refers to oversight by the United States Congress of the official branch. It is the audit checking and supervision of government agencies, programs, exercises and strategy execution.
Answers:
- a) The sample is the set of students Ms. Lee selects from the box.
- b) The population is the set of all students in Ms. Lee's classroom.
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Explanation:
The first sentence tells us what the population is: it's the set of all her students. She's not concerned with any other students in any other classroom. So her "universe", so to speak, is solely focused on this classroom only. Once the population is set up, a sample of it would be a subset of the population.
If set A is a subset of set B, then everything in A is also in B, but not vice versa. For example, the set of humans is a subset of the set of mammals because all humans are mammals. However, a dog is a mammal but not a human. This shows that A is a subset of B, but not the other way around. In this example, A = humans and B = mammals.
Going back to the classroom problem, we have A = sample and B = population. If Ms. Lee has 30 students, and she randomly selects 5 of them, then those 30 students make up set B and the 5 selected make up set A. Selecting the names randomly should generate an unbiased sample. This sample should represent the population overall. If the population is small enough, the teacher could do a census and not need a sample. Though there may be scenarios that it's still effective to draw a sample.
Answer:
y = 1/5x + 2 1/5
Step-by-step explanation:
since the slope of the line in the equation given is -5 the perpendicular slope to that will be the opposite reciprocal which is 1/5
Then plug x, y and m into y = mx + b
3 = 1/5 (4) + b
3 = 4/5 + b
2 1/5 = b
Write equation
y = 1/5x + 2 1/2
Answer:
21.5cm²
Step-by-step explanation:
First you find out the Area of the square itself which is 100cm² (squared). Then you Find the Area of the circle. The formula to find the area of a circle is π × Radius². So you find the diameter of the circle (which is 10) and divide that by 2 to find the radius. So the radius is 5 but then you need to square 5 which is 25. Then you multiply 25 with pi which is 78.5 so the area of the circle is 78.5cm². Now what you have to do is subtract the area of the square and the area of the circle to find the area of the shaded region. 100-78.5 is 21.5cm ² and that is the answer.
