Answer:
Discriminant=8
Step-by-step explanation:
-x²+4x-2=0
here a=-1,b=4 and c=-2
Discriminant=b²-4ac
Discriminant=(4)²-4(-1)(-2)
Discriminant=16-8
Discriminant=8
i hope this will help you :)
Answer:
a) Mean = 0.75
b) Standard error = 0.051
c) Yes
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 50
Sample proportion , p = 0.15
a) Mean

b) Standard error

c) Application of central limit theorem
Since the sample size is larger than 30, we cam apply central limit theorem for normal approximation.
Answer:
a = 33ft
b= 66ft
c = 48 ft
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
- a (shortest side)= a
- b (second side)=2a (twice the length of the shortest side)
- c (third side)= a+15 ( 15 feet more than the length of the shortest side)
Since:
Perimeter = a+b+c
Replacing with the values given:
147 = a+2a+(a+15)
147 = a+2a+a+15
147-15 = a+2a+a
132 = 4a
132/4 = a
33 ft= a
Substituting a =33 in the other expressions:
b=2a = 2(33) = 66 ft
c= a+15 = 33+15 = 48 ft
Answer:
y is directly proportional to x
Step-by-step explanation:
if y/x = 3
then, y = 3x.
The slope can be found by using the slope formula.
Slope = y2 - y1 / x2 - x1
First, we need two points on the line.
(-1, 0) and (0, 1)
x1 = -1 and y1 = 0
x2 = 0 and y2 = 1
Let's plug these values into our slope formula.
(1 - 0) / (0 - (-1)) = 1 / 1 = 1
The slope is 1