The SAT mathematics scores in the state of Florida for this year are approximately normally distributed with a mean of 500 and a
1 answer:
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Answer:
<em>The interior length of the bassinet to ensure that 99 percent of newborn babies will fit = 1.7 cm</em>
Step-by-step explanation:
<u><em>Explanation:</em></u>-
<em><u>step(i):</u></em>-
Given mean of population = 50 cm
<em>standard deviation of Population = 5 cm</em>
<em>Given Margin of error = 10 cm</em>
<em>The Margin of error is determined by </em>
<em></em><em></em>
<u><em>Step(ii)</em></u><em>:-</em>
<em>Given level of significance ∝ = 99 % or 1 %</em>
Z₀.₀₁ = 2.576
√n = 1.3
squaring on both sides , we get
<em>n = 1.69≅ 1.7 cm</em>
<u><em> Final answer:</em></u>-
<em>The interior length of the bassinet to ensure that 99 percent of newborn babies will fit = 1.7 cm</em>
9514 1404 393
Answer:
D: all real numbers
R: f(x) > 0
A: f(x) = 0
(-∞, 0), (+∞, +∞)
vertical stretch by a factor of 2; left shift 2 units
Step-by-step explanation:
The transformation ...
g(x) = a·f(b(x -c)) +d
does the following:
- vertical stretch by a factor of 'a'
- horizontal compression by a factor of 'b'
- translation right by 'c' units
- translation up by 'd' units
For many functions, horizontal coordinate changes are indistinguishable from vertical coordinate changes. Exponential functions tend to be one of those.
__
Using the above notation, you seem to have f(x) = 3^x, and g(x) = 2f(x+2). The transformation is a vertical stretch by a factor of 2, and a translation left 2 units.
__
As with all exponential functions, ...
- the domain is "all real numbers"
- the range is all numbers above the asymptote: f(x) > 0
- the horizontal asymptote is f(x) = 0
The function is a growth function, so ...
- x → -∞, f(x) → 0
- x → ∞, f(x) → ∞
_____
<em>Additional comment</em>
The left shift is equivalent to an additional vertical stretch. The function could be rewritten as ...
f(x) = 18(3^x)
with no left shift and a vertical stretch by a factor of 18 instead of 2.
