Answer:
2.28%
Step-by-step explanation:
Let X be the number of books borrowed from a library each week
Given that X is normal with mean = 190 and std dev = 30
Thus Z score would be
Z=
Required probability or chance = P(X>250)
=P(
=P(Z>2)
=0.5-0.4772
=0.0228
=2.28%
pH = f(x) = -log₁₀x
1. Graphs
I used Excel to calculate the pH values and draw the graphs (see the Figure).
f(x) and f(x) +1 are plotted against the left-hand axis, while f(x+ 1) is plotted against the expanded right-hand axis.
The points at which pH = 0 and pH = 1 are indicated by the large red dots.
2. x = 0.5
When x = 0.5, pH ≈0.30. The point is indicated by the red diamond.
3. Transformations
(a) ƒ(x) = -log(x) + 1
This function has no y-intercept, because log(0) is undefined.
(b) ƒ(x +1) = -log(x + 1)
f(0) = -log(0 + 1) = -log(1) = 0
This function has a y-intercept at (0,0).
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So then n=number of long distance calls, then add the flat rate
long distance cost=number of calls times cost per clll or n times 0.42 or 0.42n
the flat rate is 24
so total is c so
c=24+0.42n
S = d/t
st = d
t = d/s
The time going is t1.
The time returning is t2.
The total time is 4 hours, so we have t1 + t2 = 4
The speed of the current is c.
The speed going is 9 + c.
The speed returning is 9 - c.
t1 = 16/(9 + c)
t2 = 16/(9 - c)
t1 + t2 = 16/(9 + c) + 16/(9 - c)
4 = 16/(9 - c) + 16/(9 + c)
1 = 4/(9 - c) + 4/(9 + c)
(9 + c)(9 - c) = 4(9 - c) + 4(9 + c)
81 - c^2 = 36 - 4c + 36 + 4c
81 - c^2 = 72
c^2 = 9
c^2 - 9 = 0
(c + 3)(c - 3) = 0
c + 3 = 0 or c - 3 = 0
c = -3 or c = 3
We discard the negative answer, and we get c = 3.
The speed of the current is 3 mph.
Answer:
y = 0
Step-by-step explanation:
Given
f(x) = 4x² +x⁵ +10x³ +5x+8x⁴
Required
Determine the y intercept
The y intercept of a function is a point where x = 0
So, we have to substitute 0 for x in the above function
f(x) = 4x² +x⁵ +10x³ +5x+8x⁴ becomes
f(0) = 4(0)² +(0)⁵ +10(0)³ +5(0)+8(0)⁴
f(0) = 4 * 0 + 0 + 10 * 0 + 5 * 0 + 8 * 0
f(0) = 0 + 0 + 0 + 0 + 0
f(0) = 0
Substitute y for f(0)
y = 0
Hence, the y intercept is 0
