Answer:
30°
Step-by-step explanation:
Use that
-the sum of angles in a triangle is 180° and that
-vertical angles are congruent ( angle x and the missing angle in the bottom triangle are vertical)
x= 180-75 -75 = 30°
Answer:
The upper 20% of the weighs are weights of at least X, which is , in which is the standard deviation of all weights and is the mean.
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.
Upper 20% of weights:
The upper 20% of the weighs are weighs of at least X, which is found when Z has a p-value of 0.8. So X when Z = 0.84. Then
The upper 20% of the weighs are weights of at least X, which is , in which is the standard deviation of all weights and is the mean.
d. Skew
A skew is defined as a pair of lines that are <span>neither parallel nor intersecting.</span>
7x^2 -10x +3 = 0
Use the quadratic formula
a = 7 b = -10 c=3
x= [--10 +-sq rt(100 - 4*7*3)] / 2*7
x= [--10 +-sq rt(100 - 84)] / 14
x= [10 +-4] / 14
x1 = 14/14 = 1
x2 = ([6] / 14) = 3/7