Specifications for a piece of material used in the manufacture of a bed mattress require that the piece be between a Lower and U
1 answer:
Answer:
Hello a value is missing in your question below is the value
samples of n = 10
answer : 24.63 < μ < 25.370
Step-by-step explanation:
Given :
Sample size = n = 10
Z∝/2 = Z0.0256 = 1.95
next calculate for margin of error
E = Z∝/2 * ( 0.6 / / )
= 0.370
therefore at 94.87% confidence interval the estimated population mean is
x - 0.370 < μ < x + 0.370
25 - 0.370 < μ < 25 + 0.370
24.63 < μ < 25.370
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Answer:
y = -3/8x -41/8
Step-by-step explanation:
Perpendicular lines intersect at 90° and their slopes are opposite reciprocals.
Therefore the slope changes from 8/3 to -3/8.
Now we must solve for the new y-intercept (b) by plugging in the given coordinate (-3,-4).
The result is b = -41/8 so our new equation is:
y = -3/8x -41/8
Answer:
<h2>(-1, -3)</h2>Step-by-step explanation:
Vertex of y = |x| have the coordinates (0, 0).
f(x) + n - shift the graph n units up
f(x) - n - shift the graph n units down
f(x + n) - shift the graph n units to the left
f(x - n) - shift the graph n units to the right
nf(x) - stretches/shrinks vertically
f(nx) - stretches/shrinks horizontally
We have
f(x) = |8x + 8| - 3 = |8(x + 1)| - 3 = |8| · |x+1| - 3 = 8|x + 1| - 3
g(x) = |x| → f(x) = 8g(x + 1) - 3
vertically streched by 8 (0, 8 · 0) → (0, 0)
shifted 1 unit to the left (0 - 1, 0) → (-1, 0)
shifted 3 units down (-1, 0 - 3) → (-1, -3)
