The sample mean of the random sample is 50
The margin of error (E) is the amount of error allowed in the random sample.
The confidence interval (CI) is given by:
CI = μ ± E = (μ - E, μ + E)
Given a confidence interval of (38.02, 61.98), hence:
μ - E = 38.02 (1)
μ + E = 61.98 (2)
Hence solving equations 1 and 2 simultaneously gives:
μ = 50, E = 11.98
Hence the sample mean of the random sample is 50
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Step-by-step explanation:
Using the Intermediate Value Theorem, the following is applied:
"If f(x) is a continuous on interval [a,b] and we have two points f(a) and f(b) then there must be some value c such that f(a)<f(c)<f(b).
So here there must be a c such that

Note: F(c)=0, the questions that the function have a solution between 0 and 1, so that means we must have some value, c such that f(c)=0 that exists
Next, plug in the x values into the function


Since cubic functions are continuous and -4<0<4, then there is a solution c that lies between f(0) and f(1)
Answer:
0
Step-by-step explanation:
The slope is the change in y divided by the corresponding change in x:
∆y/∆x = (54.99 -54.99)/(7 -6) = 0/1 = 0
The slope of the line is zero.
( B) ∠OSN is the correct answer.
As we know two angles are Supplementary if sum of that two angles is 180° or they form a linear pair
The meaning of linear pair is that the two angles should be such that the non common arms should lie on opposite side of the common arm and at the point of intersection of two angles have the same vertex. Also the two non common arms should form a line.
SO IF ONE ∠ IS Ф° OTHER SHOULD BE 180-Ф°. FOR EXAMPLE ON ∠ IS 60° OTHER WILL BE 180-60°=120°
Supplement of
1.45°=135°
2.70°=110°