X = 8.5 because 8.5 x 2 = 17 and 17 + 1 = 18
Using the pythagoras theorem for a right-angled triangle:-
x^2 = 13*2 - 9^2 = 88
x = sqrt 88 = 2 sqrt 22
Answer:
c) -1.75°
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean of 0, standard deviation of 1:
This means that 
Find the reading that separates the bottom 4% from the others.
This is the 4th percentile, which is X when Z has a p-value of 0.04, so X when Z = -1.75.




The correct answer is given by option c.
Answer:
2
Step-by-step explanation:
Answer:
21, 24, 29
5
Step-by-step explanation:
The first term is when n = 1.
(1)² + 20 = 21
The second term is when n = 2.
(2)² + 20 = 24
The third term is when n = 3.
(3)² + 20 = 29
To find how many terms are less than 50, set n² + 20 equal to 50 and solve for n:
n² + 20 = 50
n² = 30
n ≈ 5.477
Rounding down, n = 5 is the last term that is less than 50.
Therefore, there are 5 terms in the sequence that are less than 50.