Answer:
Step-by-step explanation:
Assuming that the first exponent in the formula for the curve should be 3, not 2...
The derivative is
The slope of the tangent line at the point (-1, 2) is the value of the derivative at x = -1.
The slope of the normal line is the opposite reciprocal of the slope of the tangent line.
Using the Point-Slope form of a linear equation, the normal line is
Answer:
25.10% probability that the spending is between 46 and 49.56 dollars
Step-by-step explanation:
Problems of normally distributed samples are solved using 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 problem, we have that:
What is the probability that the spending is between 46 and 49.56 dollars?
This is the pvalue of Z when X = 49.56 subtracted by the pvalue of Z when X = 46. So
X = 49.56
has a pvalue of 0.6331
X = 46
has a pvalue of 0.3821
0.6331 - 0.3821 = 0.2510
25.10% probability that the spending is between 46 and 49.56 dollars
what are the minimum, first quartile , median, third quartile , and maximum of the data set 20,70,13,15,23,17,40,51
Butoxors [25]
First put the data in order from least to greatest.
13, 15, 17,20] [23, 40, 51, 70
Min: 13
Q1: (middle of the lower half) (15 + 17)/2 = 16
Median: )middle of the data set) (20+23)/2=21.5
Q3:(middle of the upper half) (40+51)/2= 45.5
Max: 70
8(1.65)R + 98.70 = 242.58 13.20R = 143.88 [subtract 98.70 from both sides] R = $10.90 / hr. [divide both sides by 13.20]
1.) 1/9, 2/18, 3/27
2.) 6/10, 12/20, 9/15