Answer:
And the margin of error with this one:
Step-by-step explanation:
Assuming that the parameter of interest is the sample mean 
. And we can estimate this parameter with a confidence interval given by this formula:
(1)
For this case the confidence interval is given by (1.9, 3.3)
Since the confidence interval is symmetrical we can estimate the sample mean with this formula:
And the margin of error with this one:
Answer:
y = 7x - 10
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (2, 4) and (x₂, y₂ ) = (1, - 3)
m = 
= 
= 7, thus
y = 7x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 4), then
4 = 14 + c ⇒ c = 4 - 14 = - 10
y = 7x - 10 ← equation of line
The slope-intercept form is y=mx+b y = m x + b , where m is the slope and b is the y-intercept. Find the values of m and b using the form y=mx+b y = m x + b . The slope of the line is the value of m , and the y-intercept is the value of b .
Step-by-step explanation:
Answer:
(X) 0 1 2 3 4
P(X) 0.17 0.23 0.27 0.24 0.09
F(x) 0.17 0.04 0.65 0.91 1
Step-by-step explanation:
Given that;
(X) 0 1 2 3 4
P(X) 0.17 0.23 0.27 0.24 0.09
cumulative distribution function can be calculated by; be cumulatively up the value of p(x) with the values before it;
so
x F(x)
0 P(X = 0) = 0.17
1 P(X = 0) + P(X = 1) = 0.17 + 0.23 = 0.4
2 P(X = 0) + P(X = 1) + P(X = 2) = 0.17 + 0.23 + 0.27 = 0.65
3 P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.17 + 0.23 + 0.27 + 0.24 = 0.91
4 P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.17 + 0.23 + 0.27 + 0.24 + 0.09 = 1
Therefore, cumulative distribution function f(x) is;
(X) 0 1 2 3 4
P(X) 0.17 0.23 0.27 0.24 0.09
F(x) 0.17 0.04 0.65 0.91 1
Answer: Option D :3.85 units.
Step-by-step explanation: Diameter is the longest chord of any circle . It is a straight line passing through the center of the circle and touches the circle at two points. Radius is a line drawn from the center of circle to the circumference. Radius is half of diameter.In the given figure the blue line is diameter .The diameter is the blue line which equals 7.7 units.Radius is half of diameter .Radius = 7.7÷2=3.85 units.
Option D is the right answer.
