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Montano1993 [528]
3 years ago
9

A target is constructed of a 6 ft diameter circular piece of plywood, on which a 2 ft diameter circle was painted. If a person i

s blindfolded, randomly throws a ball and hits the target, what is the probability they also hit within the smaller circle?
Mathematics
1 answer:
liq [111]3 years ago
8 0

Answer:

The probability of the dart hitting the inner circle is 11.2 %.

Step-by-step explanation:

To solve this problem we first need to find the area of the whole target and the area of the smaller target. Since they're both circular, their area is given by the formula:

area = pi*r²

For the whole target:

area target = pi*(6/2)² = 28.26 ft²

For the inner target:

area inner = pi*(2/2)² = 3.14 ft²

The probability that the dart will hit the inner area is:

p = area inner / area target = 3.14 / 28.26 = 0.112

The probability of the dart hitting the inner circle is 11.2 %.

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the answer is 5 cups. Hope this helps

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If so  the inter quartile range = 58 - 9 = 49

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There were 5 1/3 jars of pickles. Ann and her friends ate 1 1/3 jars. How many jars of pickles are left? *
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6 0
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The effect of a monetary incentive on performance on a cognitive task was investigated. The researcher predicted that greater mo
riadik2000 [5.3K]

Answer:

1) H_0:\mu_5=\mu_{25}=\mu_{50}

2) H_a:\mu_{50}>\mu_{25}>\mu_{5}

3) A Type I error happens when we reject a null hypothesis that is true. In this case, that would mean that the conclusion is that there is evidence to support the claim that the greater the incentive, the more puzzles are solved, but that in reality there is no significant difference.

4) A Type II error happens when a false null hypothesis is failed to be rejected. In this case, that would mean that there is no enough evidence to support the claim that the greater the incentive, the more puzzles are solved, but in fact this is true.

5) The probability of a Type I error is equal to the significance level, as this is the chance of having a sample result that will make the null hypothesis be rejected.

Step-by-step explanation:

As the claim is that the greater the incentive, the more puzzles were solved, the null hypothesis will state that this claim is not true. That is that there is no significant relation between the incentive and the amount of puzzles that are solved. In other words, the mean amount of puzzles solved for the different incentives is equal (or not significantly different):

H_0:\mu_5=\mu_{25}=\mu_{50}

The research (or alternative hypothesis) is that the greater the incentive, the more puzzles were solved. That means that the mean puzzles solved for an incentive of 50 cents is significantly higher than the mean mean puzzles solved for an incentive of 25 cents and this is significantly higher than the mean puzzles solved for an incentive of 5 cents.

H_a:\mu_{50}>\mu_{25}>\mu_{5}

A Type I error happens when we reject a null hypothesis that is true. In this case, that would mean that the conclusion is that there is evidence to support the claim that the greater the incentive, the more puzzles are solved, but that in reality there is no significant difference.

A Type II error happens when a false null hypothesis is failed to be rejected. In this case, that would mean that there is no enough evidence to support the claim that the greater the incentive, the more puzzles are solved, but in fact this is true.

The probability of a Type I error is equal to the significance level, as this is the chance of having a sample result that will make the null hypothesis be rejected.

4 0
3 years ago
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