4(x - 8) = (2)(5)
4x - 32 = 10
4x = 42
x = 10.5
YesAnswer:
Step-by-step explanations d
You changed the mixed numeral into a fraction correctly.
Now you need to multiply the fractions.
Multiply the numerators together, and multiply the denominators together.
Now we could multiply out the numerator and denominator, and then we'd need to reduce the fraction, but before we multiply, we see there is a factor of 5 both in the numerator and in the denominator, so we can reduce before we multiply.
Answer:
32
Step-by-step explanation:
<em>The ray created by line BC has two </em><u><em>180° sides</em></u><em>. Side </em><em>AC</em><em> intersects this ray and forms two angles. We can find this second angle by subtracting </em><em>148 </em><em>from </em><em>180 </em><em>to get </em><em>32</em><em>.</em>
Let n = required random sample size.
Assume that the population standard deviation is known as σ.
Let m = sample mean.
At the 95% confidence level, the expected range is
(m - k(σ/√n), m + k(σ/√n))
where k = 1.96.
Therefore the error margin is 1.96(σ/√n).
Because the error margin is specified as 3% or 0.03, therefore
(1.96σ)/√n = 0.03
√n = (1.96σ)/0.03
n = 128.05σ²
This means that the sample size is about 128 times the population variance.
Answer:
Smallest sample size = 128.05σ², where σ = population standard deviation.
