Answer:
160pi
Step-by-step explanation:
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Formula for Area of circle :
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Area of a circle = πr²
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Find radius :
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1661.06 = 3.14 x r²
r² = 1661.06 ÷ 3.14
r² = 529
r = √529
r = 23 unit
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Formula for Circumference :
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Circumference = πD
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Find Circumference :
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Circumference = 3.14 x (2 x 23)
Circumference = 144.44 unit
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Answer: Circumference - 144.44 unit
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The grouping has changed in the equation.
3(mn) = (3m)n
This is the associative property of multiplication.
This is what we know:
The ratio of strawberry to banana batter is 2:3.
The total amount of batter is 30 cups.
We add the ratio amount, which equals to 5, and then divide the amount of cups (30) by the ratio amount (5). This equals to 6 cups, meaning that every 'ratio number' will be equal to the value of 6 cups. Now, we multiply 6 by the amount of banana batter, which equals to 18 cups. Answer= 18 cups.
Answer:
10.03% probability of getting a cup weighing more than 8.64oz
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
What is the probability of getting a cup weighing more than 8.64oz
This is the 1 subtracted by the pvalue of Z when X = 8.64. So
has a pvalue of 0.8997
1 - 0.8997 = 0.1003
10.03% probability of getting a cup weighing more than 8.64oz