For question 11, you essentially need to find when h(t) = 0, since that is when the height of the ball reaches 0 (ie touches the ground).
For question 12, it is asking for a maximum height, so you need to find when dh/dt = 0 and taking the second derivative to prove that there is maximum at t. That will find you the time at which the ball will hit a maximum height.
Rinse and repeat question 12 for question 13
Hello there! We are looking for the amount of total sales. To find the amount of total sales, we can write and solve a proportion. Set it up like this:
180/x = 3/100
We do this, because 180 is part of the whole, 3% is a part of 100%. This proportion will help us get to the correct answer. Let's cross multiply. 180 * 100 is 18,000. 3 * x is 3x. that makes 18,000 = 3x. Now, divide each side by 3 to isolate the x. 3x/3 cancels out. 18,000/3 is 6,000. Let's check this. 6,000 * 3% (0.030 is 180. 180 = 180. There. x = 6,000. The amount of sales is $6,000.
Answer:
Goodness of fit
Step-by-step explanation:
Given
The theoretical probabilities
<em>See comment for complete question</em>
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Required
The type of test to be use
From the question, we understand that you are to test if the die is loaded or not using the given theoretical probabilities.
This test can be carried out using goodness of fit test because the goodness of fit is basically used to check the possibility of getting the outcome variable from a distribution. In this case, the outcome of the variables are the given theoretical probabilities.
In a nutshell, the goodness fit of test determines if the given data (in this case, the theoretical probabilities) is a reflection of what to expect in the original population.
The value of a would be 3.5, as a=1 when b=10 means that a is worth 1/10 of b's value.
Answer:
if a z-score is equal to +1, it is 1 standard deviation above the mean.
Step-by-step explanation: