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Elan Coil [88]
2 years ago
7

A baseball analyst wants to determine the average speed of a fastball thrown in the major leagues this season. He chooses a week

at random. During that week, he will measure the speeds of a sample number of pitches. Which sample below is included in the population that he is interested in and comes closest to being random? All pitches All fastballs All pitches by pitchers whose specialty is throwing fastballs All fastballs thrown by pitchers whose specialty is throwing fastballs
Mathematics
2 answers:
grandymaker [24]2 years ago
8 0

Answer:

All fast balls

Step-by-step explanation:

Given that a baseball analyst wants to determine the average speed of a fastball thrown in the major leagues this season.

Hence  he chooses a week at random.

Measuring the speeds of a sample number of pitches will not represent the average speed of fast ball.

Hence only fastballs thrown is relevant here.

If all fastballs thrown by pitchers  whose specialty is throwing fastballs will not represent the fast balls as this sample is biased with specialists hence speed may be shown more than average

Hence answer is all fast balls.

Karolina [17]2 years ago
3 0
If the analyst wants an average of all fastballs, it is not useful to measure other pitches, nor is it useful to limit it to a subset of the pitchers.

So, the sample should draw from all fastballs.
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Answer:

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How is the graph of the parent function of y = 3√x transformed to produce the graph y = 3√1/2x? It is horizontally stretched by
inna [77]

The graph of the parent function is horizontally stretched by a factor of \frac{1}{2} ⇒ 1st answer

Step-by-step explanation:

Let us revise some transformation

A horizontal compression (or shrinking) is the squeezing of the graph toward the y-axis.  

A horizontal stretching is the stretching of the graph away from the y-axis  

  • If k > 1, the graph of y = f(k•x) is the graph of f(x) horizontally shrunk (or compressed) by dividing each of its x-coordinates by k.
  • If 0 < k < 1 (a fraction), the graph of y = f(k•x) is the graph of f(x) horizontally stretched by dividing each of its x-coordinates by k
  • If k should be negative, the horizontal stretch or shrink is followed by a reflection across the y-axis

A vertical stretching is the stretching of the graph away from the

x-axis  

A vertical compression (or shrinking) is the squeezing of the graph toward the x-axis.  

  • If k > 1, the graph of y = k•f(x) is the graph of f(x) vertically stretched by multiplying each of its y-coordinates by k.
  • If 0 < k < 1 (a fraction), the graph of y = k•f(x) is the graph of f(x) vertically shrunk (or compressed) by multiplying each of its y-coordinates by k
  • If k should be negative, the vertical stretch or shrink is followed by a reflection across the x-axis.  

∵  y=3\sqrt{x} is a parent function

∵ Its graph transformed to produce the graph of y=3\sqrt{\frac{1}{2} x}

- That means x is multiplied by a factor k, then it is compressed

   or stretched horizontally

∵ k = \frac{1}{2}

- The factor \frac{1}{2} is between 0 and 1, then it is

   stretched horizontally as the second rule above

∴ The graph of the parent function is stretched horizontally by a

   factor of \frac{1}{2}

The graph of the parent function is horizontally stretched by a factor of \frac{1}{2}

Look to the attached figure for more understand

Learn more:

You can learn more about transformation in brainly.com/question/9381523

#LearnwithBrainly

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