Four and a half gallons of lemonade
Answer:
table b'
Step-by-step explanation:
It can help to write each number in expanded form, where the digit is multiplied by a power of the base.
332 base 5 = 3*5^2 + 3*5^1 +2*5^0 = 75 +15 +2 = 92
In base 8, this is
92 = 64 + 24 + 4 = 1*8^2 + 3*8^1 + 4*8^0 = 134 base 8
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The conversion of an integer to base b is often done by finding the remainder when dividing by b.
92/8 = 11 remainder 4
11/8 = 1 remainder 3
1/8 = 0 remainder 1
The digits of the converted number (right to left) are the remainders at each step. Here: 92 = 134 (base 8).
Answer:
84.13% probability a particular tire of this brand will last longer than 57,100 miles
Step-by-step explanation:
When the distribution is normal, we use 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 a particular tire of this brand will last longer than 57,100 miles
This is 1 subtracted by the pvalue of Z when X = 57100. So



has a pvalue of 0.1587
1 - 0.1587 = 0.8413
84.13% probability a particular tire of this brand will last longer than 57,100 miles
9514 1404 393
Answer:
x = 2 m
y = 30°
Step-by-step explanation:
The side lengths of ΔDEF are 3/9 = 1/3 of those of ΔABC.
x = DF = 1/3(AB) = (1/3)(6 m)
x = 2 m
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Angle measures of ΔDEF are the same as those of the corresponding angles of ΔABC.
y = ∠B = ∠E = 30°
y = 30°