A bag of lollipops contains red lollipops and purple lollipops. 80% of the lollipops in the bag are red. A number generator simu
lates selecting 10 lollipops from the bag. The number generator is used 10 times and the number or red lollipops in each simulated trial is shown in the dot plot. Which description is correct about the number generator?
1 answer:
Answer:
The number generator is fair. It picked the approximate percentage of red lollipops most of the time.
Step-by-step explanation:
The other answer choices represent various misinterpretations of the nature of the experiment or the meaning of the numbers generated.
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A number generator can be quite fair, but give wildly varying percentages of red lollipops. Attached are the results of a series of nine (9) simulations of the type described in the problem statement. You can see that the symmetrical result shown in the problem statement is quite unusual. A number generator that gives results that are too ideal may not be sufficiently random.
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The confidence interval would be
.
We use the formula
, where
, with p being the sample proportion and N being the sample size.
First we find the z-score associated with this level of confidence:
Convert 95% to a decimal: 95/100 = 0.95
Subtract from 1: 1-0.95 = 0.05
Divide by 2: 0.05/2 = 0.025
Subtract from 1: 1-0.025 = 0.975
Using a z-table (http://www.z-table.com) we see that this value is associated with a z-score of 1.96.
Since 578/720 said yes, this gives us p=0.80:
This gives us
We use the formula
First we find the z-score associated with this level of confidence:
Convert 95% to a decimal: 95/100 = 0.95
Subtract from 1: 1-0.95 = 0.05
Divide by 2: 0.05/2 = 0.025
Subtract from 1: 1-0.025 = 0.975
Using a z-table (http://www.z-table.com) we see that this value is associated with a z-score of 1.96.
Since 578/720 said yes, this gives us p=0.80:
This gives us
Answer:
P = 2n + 8m - 1
Step-by-step explanation:
A <u>trinomial is an expression or equation that has three terms</u>. A term is when between the numbers or variables, the operations are neither subtraction nor addition, or when there is only one number.
If two terms have the <u>same variable</u>, called <u>like terms</u>, they can be combined by addition or subtraction.
The perimeter is the total length of all the sides.
The formula for the perimeter of a triangle is for each of the three sides.
Substitute each of the three sides.
brackets can be removed
rearrange equation according to like terms
collected the like terms by addition