This question is incomplete because the options are missing; here is the complete question:
Kareem wants to find the number of hours the average sixth-grader at his school practices an instrument each week. Which is the best way Kareem can get a representative sample?
A. He can randomly survey 50 boys in the school.
B. He can survey 30 students in the school band.
C. He can randomly survey 50 6th graders in the school.
D. He can survey 20 friends from his neighborhood.
The correct answer is C. He can randomly survey 50 6th graders in the school.
Explanation:
A representative sample is a portion of a population that shows the characteristics of all the population. In this context, for a sample to be representative it needs to include only individuals of the population that is studied. Also, ideally, individuals should be selected randomly as this guarantees the sample is not influenced by the researcher. According to this, option C is the best as this is the only one that focuses on the target population (6th graders) and the sample is random, which contributes to the sample being objective and representing the behavior of 6th-graders.
Answer:
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Step-by-step explanation:
Answer:
The answer to your question is 12.55 cm
Step-by-step explanation:
Data
Adam Cara
height = 159 cm height = 140 cm
shadow = 105 cm shadow = x
Process
1.- To solve this problem use the Thales' theorem
Cara's shadow / Cara's height = Adam's shadow / Adam's height
- Substitution
x / 140 = 105 / 159
-Solve for x
x = 105 (140) / 159
-Simplification
x = 14700 / 159
x = 92.45 cm
Cara's shadow is 92.45 cm long.
2.- If both shadows are in line, then Cara must walk forward
105 - 92.45 cm
12.55 cm
ANSWER :
D. f(x) = -|x - 4|
EXPLANATION :
The general equation of an absolute value function is :

where the sign of a indicates the opening of the graph.
If it is positive, the graph opens upward
If it is negative, the graph opens downward
and the vertex is at (h, k)
From the options, the value of a is all equal to 1.
The graph opens downward, so the sign is negative
and the vertex is at (4, 0)
That will be :
Answer:
-15
Step-by-step explanation:
4-9=-5 -5×-3=15
negative times negative is positive