Answer:
The equation of line is:
Step-by-step explanation:
Given points:
and
To find the equation of the line.
Solution:
In order to find the equation of the line we will first find the slope of the line.
The slope of a line passing through points and the slope can be given as:
Plugging in the given points to find the slope of the line.
Equation of line can be written in point slope form as:
where is a point on the line.
Using point (4,8)
Multiplying both sides by 4.
Using distribution:
Subtracting both sides.
Subtracting 308 both sides.
Multiplying each term with -1.
Thus, equation of line is:
divide the annual rate by four because there are four quarters in a year
Answer:
The tip is $17.08
Step-by-step explanation:
20% = 0.2
85.4(0.2) = 17.08
Using the normal distribution, it is found that the percentage of people spend <u>between 41 and 56 minutes</u> watching TV shows on this streaming service is:
a) 13.5%
In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
- It 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, which is the percentile of X.
In this problem:
- The mean is of 71, hence
- The standard deviation is of 15, hence
The proportion <u>between 41 and 56 minutes</u> is the <u>p-value of Z when X = 56 subtracted by the p-value of Z when X = 41</u>, hence:
X = 56:
has a p-value of 0.16
X = 41:
has a p-value of 0.025
0.16 - 0.025 = 0.135
0.135 x 100% = 13.5%
Hence option a is correct.
A similar problem is given at brainly.com/question/25769446