Answer:
A task time of 177.125s qualify individuals for such training.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by

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. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.
In this problem, we have that:
A distribution that can be approximated by a normal distribution with a mean value of 145 sec and a standard deviation of 25 sec, so
.
The fastest 10% are to be given advanced training. What task times qualify individuals for such training?
This is the value of X when Z has a pvalue of 0.90.
Z has a pvalue of 0.90 when it is between 1.28 and 1.29. So we want to find X when
.
So




A task time of 177.125s qualify individuals for such training.
Answer:
For 5/11 shade in the third bubble (0.45 repeating)
Answer:
x = variable
3 = coefficient
1 = constant
3x^2-4x+1 = algebraic expression
2 = degree
Step-by-step explanation:
variables are typically the letters in equations (usually x and y)
coefficients are the numbers attached to the variables
constants don't have any variables attached
algebraic expressions are the full expression
degrees are the small numbers in the top right corners on either constants, variables or coefficients
Hope this helps!
The area formula for a triangle is 1/2 (base * height)
Answer:
y = 108°
Step-by-step explanation:
Since AB and CD are parallel lines, then
3x - 12 and 2x + 16 are corresponding angles and congruent, thus
3x - 12 = 2x + 16 ( subtract 2x from both sides )
x - 12 = 16 ( add 12 to both sides )
x = 28
Thus
3x - 12 = 3(28) - 12 = 84 - 12 = 72°
y and 3x - 12 are adjacent angles and supplementary, thus
y = 180° - 72° = 108°