NO they are not proportional
3/7 = .4285714
6/9 = .66666
17 x 2 = 34
34 - 5 = 29
34 - 29 = 5
So Shanice had 29 hats on Monday
The variables are
- x = number of mini hot dogs.
- y = number of mozzarella sticks.
And the system of equations is:
x*60 + y*70 = 1080
x = y + 5
<h3>
How to write the system of equations?</h3>
First, we need to define the variables that we will use on our system.
- x = number of mini hot dogs.
- y = number of mozzarella sticks.
We know that each hot dog has 60 calories and each mozzarella stick has 70 calories, and the total number of calories is 1080, then the first equation of our system is:
x*60 + y*70 = 1080
We also know that there are 5 more mini hot dogs than mozzarella sticks, then the second equation is:
x = y + 5
Then the system of equations that models the given situation is:
x*60 + y*70 = 1080
x = y + 5
Learn more about systems of equations:
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Answer:
E) .0863
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The population proportion have the following distribution
Solution to the problem
For this case we can find the sample proportion for each observation with the following formula:

Where X represent the number of returns and n =100 for each case since the standard value used. Using the last formula we got:










And now witht those values we can find the sample mean of proportions with the following formula:

And we can find the standard error with the following formula:

So then the best option on this case is given by:
E) .0863
Answer:
No. 1st is (0,2) 2nd is (0,5)
Step-by-step explanation: