Answer:
P(2 quarters) = 19/ (13*16) = 19/208 = 0.0913
Step-by-step explanation:
probability of getting 2 quarters?
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first draw: there are 20 quarters to choose from
second draw: there are 19 quarters left to choose
so Total coins are 65 coins
P(2 quarters) = P( 1st quarter)* P(2nd quarter)
P(2 quarters) = 20/65 * (19/64)
P(2 quarters) = 4/13 * 19/64
P(2 quarters) = 19/ (13*16) = 19/208
Answer:
It's not a real solution
Step-by-step explanation:
9514 1404 393
Answer:
a) ∆ABC ~ ∆EDC by AA similarity
b) ED/AB = 3/4
c) 15 cm
Step-by-step explanation:
a) Two angles in each triangle are the same, so the AA similarity postulate can be used to declare the ∆ABC ~ ∆EDC. (Each triangle includes a right angle and angle C.)
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b) Corresponding sides are ED/AB, DC/BC, EC/AC. The ratio of corresponding sides is ED/BC = (12 cm)/(16 cm) = 3/4.
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c) Using the ratios identified above, we have ...
DC/BC = 3/4 = x/(20 cm)
x = 3/4(20 cm)
x = 15 cm
Answer:
In one second it turns 200 / 60 = 3 1/3 revolutions. Since one revolution is 360°, the answer is 6 2/3 π radians.
Answer:
The mean is 9.65 ohms and the standard deviation is 0.2742 ohms.
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.
10% of all resistors having a resistance exceeding 10.634 ohms
This means that when X = 10.634, Z has a pvalue of 1-0.1 = 0.9. So when X = 10.634, Z = 1.28.
5% having a resistance smaller than 9.7565 ohms.
This means that when X = 9.7565, Z has a pvalue of 0.05. So when X = 9.7565, Z = -1.96.
We also have that:
So
The mean is
The mean is 9.65 ohms and the standard deviation is 0.2742 ohms.