Jalen lost 12 pounds in the first 3 weeks of his diet. After this point, his weight loss rate slowed by half. If he lost a total
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Answer:
The equivalent expression is:
Step-by-step explanation:
We have been given the equation:
Equivalent expression can be computed by solving the expression ai its maximum.
We can factorize the given equation:
By using
Here,
Hence, we get the equation below:
Therefore, the equivalent expression is:
Answer:
The probability that the shopkeeper's annual profit will not exceed $100,000 is 0.2090.
Step-by-step explanation:
According to the Central Limit Theorem if we have a population with mean <em>μ</em> and standard deviation <em>σ</em> and we select appropriately huge random samples (<em>n</em> ≥ 30) from the population with replacement, then the distribution of the sum of values of <em>X</em>, i.e ∑<em>X</em>, will be approximately normally distributed.
Then, the mean of the distribution of the sum of values of X is given by,
And the standard deviation of the distribution of the sum of values of X is given by,
The information provided is:
<em>μ</em> = $970
<em>σ</em> = $129
<em>n</em> = 102
Since the sample size is quite large, i.e. <em>n</em> = 102 > 30, the Central Limit Theorem can be used to approximate the distribution of the shopkeeper's annual profit.
Then,
Compute the probability that the shopkeeper's annual profit will not exceed $100,000 as follows:
*Use a <em>z</em>-table for the probability.
Thus, the probability that the shopkeeper's annual profit will not exceed $100,000 is 0.2090.
To solve this question, we have to find the equation of the circle with given center and where it passes. Doing this, we get that the equation of the circle is:
Equation of a circle:
The equation of a circle with center and radius r is given by:
Center at (16, 30)
This means that
Thus
Passes through the origin:
We use this to find the radius squared, as this means that is part of the circle. Thus
Thus, the equation of the circle is:
For another example to find the equation of a circle, you can look at brainly.com/question/23719612