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Kruka
1 month ago
9

Alejandro wants to determine the average shoe size of all of the male students in his school. Which sample is likely to yield th

e most biased results? A.every tenth boy on the school’s phone list B.every member of the boys’ basketball team C.every boy in a randomly selected ninth-, tenth-, eleventh-, and twelfth-grade gym class D.every fifth boy who walks through the front doors of the school in the morning
Mathematics
2 answers:
lawyer [12.5K]1 month ago
5 0
Option: B is the right choice. B. Every member of the boys' basketball team. A biased sample is one that isn't random, as it indicates a preference in selection. A.) Every tenth boy from the school’s phone directory is random, giving every student an equal chance of selection, thus, it’s not biased. C.) Every boy in randomly chosen ninth-, tenth-, eleventh-, and twelfth-grade gym classes is also random, making this option incorrect. D.) Every fifth boy entering the school in the morning has equal selection probability as well, so it doesn't represent bias. B.) Every member of the boys' basketball team constitutes a biased sample, since they tend to be taller, leading to larger shoe sizes. Thus, it doesn't represent the average shoe size of male students in the school.
Svet_ta [12.7K]1 month ago
5 0
B. every member of the boys' basketball team, as basketball players are typically taller, resulting in larger feet which do not accurately reflect the average shoe size of the male students. 
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At an ocean depth of 10 meters, a buoy bobs up and then down 6 meters from the ocean's depth. Ten seconds pass from the time the
PIT_PIT [12445]

The sine function that corresponds to the scenario is y = 6sin((π / 10) x) - 10.

Step-by-step explanation:

The general equation for a sine function is Asin(Bx)+C.

A buoy rises and drops 6 meters, indicating a vertical and horizontal movement of 6 meters—this is the amplitude.

Thus, the amplitude A is 6.

The period is defined as the horizontal distance for one complete wave cycle.

The buoy takes 10 seconds to go from its peak to its lowest point (half a cycle).

Hence, the total period for a complete cycle is 20 seconds.

Additionally, Period = 2π divided by B.

Thus, 20 (B) = 2π.

This results in B being equal to 2π / 20.

= π / 10.

Since the buoy operates at a depth of 10 meters, C equals -10.

<pinserting all="" values="" into="" the="" formula="" yields:="">

⇒y = 6sin((π/10)x) - 10.

The first point marks the midline,

When x=0,

⇒y=6sin(0)-10.

y= -10.

∴ Thus, the line begins at y = -10.

The consecutive point will represent the maximum or minimum value.

Those are (5,-4) and (15, -16.)

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7 0
2 months ago
What is the slope of the line that contains the points (13, -2) and (3,-2)?
Leona [12618]
The slope equals 0 because the y value remains constant, indicating a slope of 0.
5 0
1 month ago
At first, Kai earned a score of 80 on a quiz. He discovered that 5 points had been taken
lawyer [12517]

The initial score was 80, and there was a wrongfully deducted 5 points. This indicates that any result equating to 85 is the correct outcome.

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5 0
2 months ago
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A fabric store sells two types of ribbon. One customer buys 3 rolls of the lace ribbon and 2 rolls of the satin ribbon and has a
tester [12383]
Let L represent the yards in a roll of lace ribbon and S represent the yards in a roll of satin ribbon. We can formulate two equations: 3L + 2S = 120 yards (Equation 1) and 2L + 4S = 160 yards (Equation 2). If we multiply Equation 1 by 2 and subtract Equation 2, we have: 6L + 4S = 240 yards (Equation 1) and 2L + 4S = 160 yards (Equation 2). Thus, 4L equals 80 yards, leading to L equating to 20 yards. For Equation 1, substituting gives 3(20 yards) + 2S = 120 yards, leading to 2S equal to 60 yards, so S equals 30 yards. Therefore, a roll of lace ribbon contains 20 yards, while a roll of satin ribbon has 30 yards.
7 0
2 months ago
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