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melomori [17]
3 years ago
7

Johnny wants to know how many students in his school enjoy watching science programs on TV. He poses this question to all 26 stu

dents in his science class and finds that 75% of his classmates enjoy watching science programs on TV. He claims that 75% of the school's student population would be expected to enjoy watching science programs on TV. Is Johnny making a valid inference about this population? Yes, it is a valid inference because his classmates make up a random sample of the students in the school Yes, it is a valid inference because he asked all 26 students in his science class No, it is not a valid inference because he asked all 26 students in his science class instead of taking a sample from his math class No, it is not a valid inference because his classmates do not make up a random sample of the students in the school
Mathematics
1 answer:
coldgirl [10]3 years ago
8 0
The correct answer would be option D.
No, it is not a valid inference because his classmates do not make up a random sample of the students in the school

The population represents all of the students in the school. Apart from his science class there can be students in arts class, music class, literature class and so on. He used convenience sampling by just surveying the students of his science class. The students in science class are those who are interested in science and related topics so these students will be more inclined towards watching a science program. Thus the survey of Johnny does not yield valid result and his inference is not valid.

Thus, option D is the correct answer.
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You hike 190 meters up a steep hill that has a 33∘ angle of elevation as shown in the diagram.
erik [133]

Answer:

b = 159 m

a = 103 m

angle B is 57 degrees

Step-by-step explanation:

Let’s start with getting the measure of angle B

Mathematically, since we have a right triangle , we have to subtract the given angle from 90 to get the other acute angle

So we have the measure of B as;

90-33 = 57 degrees

To get the value of a, we use the appropriate trigonometric ratio

a faces the angle 33, that makes it an opposite to that angle

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Mathematically , the relationship between the two is that trigonometrically, they are related by the sine which is the ratio of the opposite to the hypotenuse

so, we have it that;

sine 33 = a/190

a = 190 * sine 33

a = 103 m

to get b, it is adjacent to the given angle

So with the hypotenuse, the ratio between it and the hypotenuse is the cosine

so;

cos 33 = b/190

b = 190 * cos 33

b = 159 m

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