Answer:
0.47/94=200?
Step-by-step explanation:
Answer:
B. 0.0028
Step-by-step explanation:
This is a binomial distribution. We could use a calculator to find the probability, or, since the sample size is large enough and both np and nq are larger than 10, we can approximate this as a normal distribution.
To do so, we first find the mean and standard deviation.
μ = np = (0.02) (1500) = 30
σ = √(npq) = √(0.02 × 0.98 × 1500) = 5.42
Now we find the z-score:
z = (x − μ) / σ
z = (45 − 30) / 5.42
z = 2.77
Finally, we use a z-score table to find the probability.
P(z > 2.77) = 1 − P(z < 2.77)
P(z > 2.77) = 1 − 0.9972
P(z > 2.77) = 0.0028
A circle has an infinite number of lines of symmetry.
Answer:
? = 14
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan ? = 8/33
Taking the inverse tan of each side
tan ^-1 ( tan ?) = tan ^-1 ( 8/33)
? =13.62699
To the nearest degree
? = 14