Note that
10² = 100
0.08² = 0.0064
and
101.6064 = 100 + 1.6 + 0.0064
It also happens that
1.6 = 2 • 10 • 0.08
which means
101.6064 = 100 + 1.6 + 0.0064
101.6064 = 10² + 2 • 10 • 0.08 + 0.08²
101.6064 = (10 + 0.08)²
101.6064 = 10.08²
which means
√101.6064 = 10.08
which, to one decimal place, is approximately 10.1.
Answer:
X = 5
Y = 2
Step-by-step explanation:
y=2x-8
x-4(2x-8)=-3 -> x-8x+32=-3 -> -7x = -35 -> x=-35/-7 = 5
x=5 -> y=2x-8 -> y=2(5)-8=2
Answer:
1 whole or 6/6
Step-by-step explanation:
Answer:
68% of the data is between 5.7 and 7.7 grams.
Step-by-step explanation:
According to the empirical rule for a normal distribution, 68% of data falls within one standard deviation, 95% of data falls within two standard deviation and 99.7% of data falls within three standard deviation.
Given that:
mean (μ) = 6.7 grams, standard deviation (σ) = 1 gram.
From the empirical rule:
68% of the data is between one standard deviation i.e μ ± σ = 6.7 ± 1 = 5.7, 7.7
Therefore 68% of the data is between 5.7 and 7.7 grams.
