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Morgarella [4.7K]
3 years ago
10

Frederick designed an experiment in which he spun a spinner 20 times and recorded the results of each spin.

Mathematics
2 answers:
belka [17]3 years ago
5 0

Answer:

the statements given above are true.

Step-by-step explanation:

Given that Frederick designed an experiment in which he spun a spinner 20 times and recorded the results of each spin.  

He spun a 4 five times.

The statements true are:

i) For the experimental outcomes to be closer to the predicted outcome, the number of trials should be increased.

iii) If the number of trials is changed, the experimental probability also changes.

iv) If the number of trials is changed, the predicted number of outcomes also changes.

v) If the number of trials is changed, the number of experimental outcomes also changes.




kotykmax [81]3 years ago
4 0

Answer:

For the experimental outcomes to be closer to the predicted outcome, the number of trials should be increased.; If the number of trials is changed, the experimental probability also changes. ; If the number of trials is changed, the predicted number of outcomes also changes. ;  and If the number of trials is changed, the number of experimental outcomes also changes.

Explanation:

The more trials you perform, the closer your experimental probability will be to the theoretical probability.  Thus the first statement is true and the second statement is false.

As the number of trials increases, the experimental probability changes; this is because for each trial, you will possibly have a different outcome.  Thus the third statement is true.

As the number of trials increases, the predicted number of outcomes changes.  This is because the predicted number will change to keep the ratio of predicted outcomes to number of trials the same.  Thus the fourth statement is true.

As the number of trials increases, the number of experimental outcomes changes.  This is because, as with number three, for each trial, you will possibly have a different outcome.  Thus the fifth statement is true.

We cannot change the theoretical probability by performing an experiment.  Thus the sixth statement is false.

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There are some Nichols dimes and quarters in a large piggy bank for every two nickels there a sweetheart forever to Diane’s ther
grigory [225]

Answer:

There are 80 nickels, 120 dimes and 300 quarters in the piggy bank.

All coins in the piggy bank worth $91.

Step-by-step explanation:

Please consider the complete question:

There are some nickels, dimes, and quarters in a large piggy bank. For every 2 nickels there are 3 dimes. For every 2 dimes there are 5 quarters. There are 500 coins total. How many nickels, dimes, and quarters are in the piggy bank? Explain your reasoning. How much are the coins in the piggy bank worth?

Let n, d, q represent number of nickles, dimes and quarters respectively.

For every 2 nickels there are 3 dimes. We can represent this information in an equation as:

\frac{2}{n}=\frac{3}{d}...(1) or

n=\frac{2d}{3}...(1)

For every 2 dimes there are 5 quarters. We can represent this information in an equation as:

\frac{2}{d}=\frac{5}{q}...(2) or  

q=\frac{5d}{2}...(2)  

There are 500 coins total. We can represent this information in an equation as:

n+d+q=500...(3)

We will use substitution method to solve our given system.

Upon substituting equation (1) and equation (2) in equation (3), we will get:

\frac{2d}{3}+d+\frac{5d}{2}=500  

Multiply the equation by 6:

\frac{2d}{3}*6+d*6+\frac{5d}{2}*6=500*6  

2d*2+6d+5d*3=3000  

4d+6d+15d=3000  

25d=3000  

\frac{25d}{25}=\frac{3000}{25}  

d=120  

Therefore, there are 120 dimes in the piggy bank.

Upon substituting d=120 in equation (1), we will get:

n=\frac{2(120)}{3}

n=2(40)

n=80

Therefore, there are 80 nickels in the piggy bank.

Upon substituting d=120 in equation (2), we will get:

q=\frac{5d}{2}  

q=\frac{5(120)}{2}  

q=5(60)  

q=300  

Therefore, there are 300 quarters in the piggy bank.

Now, we need to find the value of all coins.

We know 1 quarter is worth $0.25, so 300 quarters will be worth \$0.25\times 300=\$75.

We know 1 dime is worth $0.10, so 120 dimes will be worth \$0.10\times 120=\$12.

We know 1 nickel is worth $0.05, so 80 nickels will be worth \$0.05\times 80=\$4.

\text{All coins worth}=\$75+\$12+\$4

\text{All coins worth}=\$91

Therefore, all coins in the piggy bank worth $91.

7 0
3 years ago
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