Answer:
Nikolai Lobachevsky and Bernhard Riemann
Step-by-step explanation:
Nikolai Lobachevsky (A russian mathematician born in 1792) and Bernhard Riemann (A german mathematician born in 1826) are the mathematicians that helped to discover alternatives to euclidean geometry in the nineteenth century.
Answer:
It’s b
Step-by-step explanation:
The area of the rhombus is 65.79
equation of a line that passes through the point (x1,y1) and has a slope of m is
y-y1=m(x-x1)
given
(1,-2) and slope of 1/3
y-(-2)=1/3(x-1)
general form is ax+by=c (or ax+by+c=0) where a,b,c are integers and a is positive
y-(-2)=1/3(x-1)
y+2=1/3(x-1)
times both sides by 3
3y+6=x-1
minus 3y both sides
6=x-3y-1
add 1 both sides
7=x-3y
x-3y=7
To get ax+by+c=0 form, subtract 7 from both sides to get
x-3y-7=0
Answer:
The margin of error at 90% confidence is 0.5133 gram.
Step-by-step explanation:
Margin of error (E) = (critical value × sample standard deviation) ÷ sqrt(n)
sample standard deviation = 1.5 grams
confidence level = 90% = 0.9
significance level = 1 - C = 1 - 0.9 = 0.1 = 10%
n (sample size) = 25
degree of freedom = n - 1 = 25 - 1 = 24
critical value (t) corresponding to 24 degrees of freedom and 10% significance level is 1.711
E = (1.711×1.5) ÷ sqrt(25) = 2.5665 ÷ 5 = 0.5133 gram
