Answer:
P(x ≥ 30) = 0.3859
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:

This probability is going to be 1 subtracted by the pvalue of Z when X = 30. So



has a pvalue of 0.6141
1 - 0.6141 = 0.3859
So
P(x ≥ 30) = 0.3859
Answer:
its 4x
Step-by-step explanation:
Answer:
119
Step-by-step explanation:
Since the terms have a common difference (d) between consecutive terms then the terms are an arithmetic sequence with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
a₁ = 2 and d = 20 - 11 = 11 - 2 = 9, hence
= 2 + (13 × 9) = 2 + 117 = 119
So line QP is the tangent which means angle Q is 90 degrees. All three angles of a triangle added together is 180 degrees so:
x = 180 - 90 - 12
x = 78