Aliza needs to run at a rate faster than 8.8 feet per second in order to exceed her fastest time in a race. After running for 15
minutes, her coach determines that she is running at an average rate of 5.8 miles per hour. He converts the average rate to feet per second as shown below:
He concludes that she is not running fast enough to exceed her fastest time.
He concludes that she is not running fast enough to exceed her fastest time.
2 answers:
Answer:
Review indicates he incorrectly applied the time conversion from hours to minutes.
He also mistakenly concluded that she is running too slowly to improve her time.
Avoid: His unit cancellation is valid.
Avoid: No error in converting miles to feet.
Avoid: Calculating average speed from 15 minutes is acceptable.
Step-by-step explanation:
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Response: (0.8115, 0.8645)
Step-by-step outline:
Define p as the proportion of individuals who leave one space after a sentence.
Provided: Sample size: n= 525
Number of respondents indicating they leave one space: 440
Thus, the sample proportion is:
The z-score for a 90% confidence interval is: 1.645
The formula for determining the confidence interval:
Consequently, a 90% confidence interval for the proportion of people who leave one space after a period is: (0.8115, 0.8645)
Answer:
Option (a) is the correct choice.
The result of the given function at x = 3 is -28
Detailed explanation:
Provided: Function
We need to calculate the function's value at x = 3
Evaluate the specified function
As we are required to find the function's value at x = 3
Substitute x = 3 into the function f(x)
Upon simplification, we get
Thus, the value of the given function at x = 3 is -28
1) 4.55
2) Short hit
Step-by-step explanation:
1)
The score and corresponding probabilities are shown in the following table:
Score 3 4 5 6 7
Probability 0.15 0.40 0.25 0.15 0.05
Let us define
X = Miguel's score on the Water Hole
The expected value of the variable X can be represented as:
where
represents the different possible outcomes of X
denotes the associated probabilities
Accordingly, the expected value of Miguel's score is calculated as follows:
2)
Here, we will again consider:
X = Miguel's score on the Water Hole
In this case:
- For a successful long hit, the expected value of X is
- Conversely, if the long hit isn't successful, the expected value of X becomes
We also know that the likelihood of succeeding with a long hit is
Consequently, the chance of failure in a long hit is
Thus, the expected value of X when opting for the long hit strategy is:
In the first part of this question, we calculated the expected value using the short hit strategy, yielding:
Given that the expected value for X is smaller (which is better) when utilizing the short hit option, we can conclude that this approach is superior.