Answer:
a=20 m²
b=21 cm²
c=36 dm²
Step-by-step explanation:
A) 12²+16²=a²
144+256=a²
400=a²
√400=a
a=20
B) 28²+b²=35²
784+b²=1225
b²=1225-784
b²=441
b=√441
b=21
C) c²+15²=39²
c²+225=1521
c²=1296
c=√1296
c=36
To answer this item, note that what needs to be done is to substitute -4 to all x's in the equation. That is,
F(x) = 2^x
will become,
F(-4) = 2^(-4) = 1/16 or 0.0625
The answer multiplied if it doubled the its times 2 tripled it’s timeS 3 quadruple then times 4
Answer: 68% of light bulbs last between 1765 hours and 1835 hours.
Step-by-step explanation:
The empirical rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean . The empirical rule is further illustrated below
68% of data falls within the first standard deviation from the mean.
95% fall within two standard deviations.
99.7% fall within three standard deviations.
From the information given, the mean is 1800 hours and the standard deviation is 35 hours.
1 standard deviation = 1 × 35 = 35
1800 - 35 = 1765 hours
1800 + 35 = 1835 hours
Therefore, 68% of light bulbs last between 1765 hours and 1835 hours.
