The mid-line for f(x) = 4cos x is y = 0. In the given equation, the term -2 is described as the y-shift. Therefore the mid-line for f(x) = -2 + 4cos x is:
y = -2.
Start by distributing the 4:
12-8x=15
Add 8x to both sides of the equation and subtract 15 from both sides:
8x=-3
divide both sides by 8 to get the value of x:
x=-3/8
Answer:
Samantha's grade was 1.29 standard deviations above the class mean, that is, she scored better than 0.9015 = 90.15% of the class.
Step-by-step explanation:
Z-score:
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.
In this question:
She scored better a proportion of the class given by the p-value of z = 1.29
z = 1.29 has a p-value of 0.9015.
Samantha's grade was 1.29 standard deviations above the class mean, that is, she scored better than 0.9015 = 90.15% of the class.
Answer: 6.31 miles per day
Step-by-step explanation:
18.93 divided by 3