The fraction that has been given illustrates that the person who ran further is Jane.
<h3>How to solve fraction</h3>
Your information isn't complete. Therefore, an overview of the fraction will given.
Let's assume that Lisa ran 1/2 of a mile and Jane ran 3/4 of a mile. In order to know who ran more, you can convert the fraction to percentage.
This will be:
Lisa = 1/2 × 100 = 50%
Jane = 3/4 × 100 = 75%
Therefore, Jane ran more.
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Answer:
its 4/64
if u want to simplfy its 1/16 :)
Step-by-step explanation:
i promise i did the math
Using the Empirical Rule, it is found that the lifespans, in months, are given by:
1. 24 and 32.
2. 20 and 36.
3. 16 and 40.
<h3>What is the Empirical Rule?</h3>
It states that, for a normally distributed random variable:
- Approximately 68% of the measures are within 1 standard deviation of the mean.
- Approximately 95% of the measures are within 2 standard deviations of the mean.
- Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Hence, considering the mean of 28 months and the standard deviation of 4 months, the life spans are given by:
1. 24 and 32.
2. 20 and 36.
3. 16 and 40.
More can be learned about the Empirical Rule at brainly.com/question/24537145
The vertex form of the function is y = (x + 8)² - 71
The vertex is (-8 , -71)
Step-by-step explanation:
The vertex form of the quadratic equation y = ax² + bx + c is
y = a(x - h)² + k, where
- (h , k) are the coordinates of the vertex point
- a, b, c are constant where a is the leading coefficient of the function (coefficient of x²) , b is the coefficient of x and c is the y-intercept
- k is the value of y when x = h
∵ y = x² + 16x - 7
∵ y = ax² + bx + c
∴ a = 1 , b = 16 , c = -7
∵
∴ 
∴ h = -8
To find k substitute y by k and x by -8 in the equation above
∵ k is the value of y when x = h
∵ h = -8
∴ k = (-8)² + 16(-8) - 7 = -71
∵ The vertex form of the quadratic equation is y = a(x - h)² + k
∵ a = 1 , h = -8 , k = -71
∴ y = (1)(x - (-8))² + (-71)
∴ y = (x + 8)² - 71
∵ (h , k) are the coordinates of the vertex point
∵ h = -8 and k = -71
∴ The vertex is (-8 , -71)
The vertex form of the function is y = (x + 8)² - 71
The vertex is (-8 , -71)
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Answer:
Step-by-step explanation:
Let x represent the number of phone call that she routes.
Laylah has already spent 3 minutes on the phone and she expects to spend 1 more minute with every phone call she routes. This means that if she routes x phone calls, the total number of time that Layla would have spent on the phone is
3 + x
If she routes 23 phone calls, the total time that Layla would have spent on the phone in total is
3 + 23 = 26 minutes
