Answer:
Step-by-step explanation:
One is given the following function:
One is asked to evaluate the function for , substitute in place of , and simplify to evaluate:
A recursive formula is another method used to represent the formula of a sequence such that each term is expressed as a function of the last term in the sequence. In this case, one is asked to find the recursive formula of an arithmetic sequence: that is, a sequence of numbers where the difference between any two consecutive terms is constant. The following general formula is used to represent the recursive formula of an arithmetic sequence:
Where () is the evaluator term () represents the term before the evaluator term, and (d) represents the common difference (the result attained from subtracting two consecutive terms). In this case (and in the case for most arithmetic sequences), the common difference can be found in the standard formula of the function. It is the coefficient of the variable (n) or the input variable. Substitute this into the recursive formula, then rewrite the recursive formula such that it suits the needs of the given problem,
Answer:
The mean, μ is 2.5063 and
The standard deviation, σ = 2.0499 × 10⁻²
Step-by-step explanation:
Here we have
and
10% have length < 2.48 in while
5% have length > 2.54 in
and
From the z score table
Critical z at 10% to the left = -1.282
Critical z at 5% to the right = 1.645
Therefore, the equations become
-1.282σ = 2.48 - μ → μ -1.282σ = 2.48
1.645σ = 2.54 - μ → μ + 1.645σ = 2.54
Solving the above equations gives
The mean, μ = 2.5063 and
The standard deviation, σ = 2.0499 × 10⁻².
Answer:
b = 34°
Step-by-step explanation:
b + 115° + 31° = 180°
b + 146° = 180
b = 180° - 146°
b = 34°
To find the density of the stone divide the mass by the volume:
Density of stone = 100 grams / 10 ml = 10g/ml
Since the density of the stone is more than the density of the water, it will sink.
Answer:
x=0.5
y = 10.5
Step-by-step explanation:
y = 3x + 7
y = 5x + 8
3x + 7 = 5x + 8
3x - 5x= 8 - 7
2x = 1
x= 1/2
x=0.5
y = 5x + 8
y = 5(0.5) + 8
y = 2.5 + 8
y = 10.5