A carpenter buys $54.38 worth of parts from a supplier. if he pays for the parts with a $100 dollar bill, he will receive 100 minus 54.38 = 45.62 in change
hope this helps you good luck
25.8%
First, determine how many standard deviations from the norm that 3 tons are. So:
(3 - 2.43) / 0.88 = 0.57/0.88 = 0.647727273
So 3 tons would be 0.647727273 deviations from the norm. Now using a standard normal table, lookup the value 0.65 (the table I'm using has z-values to only 2 decimal places, so I rounded the z-value I got from 0.647727273 to 0.65). The value I got is 0.24215. Now this value is the probability of getting a value between the mean and the z-score. What I want is the probability of getting that z-score and anything higher. So subtract the value from 0.5, so 0.5 - 0.24215 = 0.25785 = 25.785%
So the probability that more than 3 tons will be dumped in a week is 25.8%
JL/LK = sin(30°)
JL = LK*sin(30°) = (8√2)*(1/2) = 4√2
LM/JL = sin(45°)
LM = JL*sin(45°) = (4√2)*(1/√2) = 4
x = LM = 4
Answer:
4.5(1.035)^t
Step-by-step explanation:
An inrease of 3.5% means that each year's total is 103.5% of the year before, right?
Year 1 = 4.5(1.035) = 4.66
Year 2 = 4.66(1.035) = 4.82
etc.
So, year 2 is 4.5(1.035)(1.035) = 4.82
Multiplying something by itself can be written with an exponent instead, so 2 years is...
4.5(1.035)2
Since the number of years is the variable (let's call it t)...
Answer:
prime factorization of 28
28 = 2 × 2 × 7
prime factorization of 50
50 = 2 × 5 × 5
Step-by-step explanation:
GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 2