Step-by-step explanation:
The slope of a line connecting two points is:
m = (y₂ − y₁) / (x₂ − x₁)
The slope of line 1 is:
m = (4 − 0) / (7 − 1)
m = 2/3
The slope of line 2 is:
m = (6 − 0) / (3 − 7)
m = -3/2
Parallel lines have equal slopes.
Perpendicular lines have opposite inverse slopes.
2/3 and -3/2 are opposite inverses, so the lines are perpendicular.
Answer:
C.
normal distribution
Step-by-step explanation:
The Sampling Distribution of the Sample Proportion. If repeated random samples of a given size n are taken from a population of values for a categorical variable, where the proportion in the category of interest is p, then the mean of all sample proportions (p-hat) is the population proportion (p)
Sample proportion would be normal with mean = p and variance = pq/n where q = 1-p and n= the sample size
The condition is that both np and nq must be greater than 10
Hence we can take that this will be normal provided np>10 or p>1/4 and q >1/4
i.e. p lies between 1/4 and 3/4
C.
normal distribution (assuming conditions are satisfied)
It is rounded up to 61.2.
3 x^{2} - 15x - 42
(x-7)(x+2)
x-7=0 x+2=0
x=7,-2
