Answer:
Step-by-step explanation:
Regular pentagon has 5 equal sides
Perimeter = 5* (23√149)
= 115√149
Answer:
sales after 5 years is $183666
Step-by-step explanation:
exponential function standard form:
a=P(1+r)^t
where p=principal(starting amount)(125,000)
r=rate of change(0.08)
t=time(5)
so
a=125,000(1+0.08)^5
a=125,000(1.08)^5
a=125,000(1.46)
a=183666
Answer: 0.2224
Step-by-step explanation:
Given: The proportion of adults need eye correction: p= 78%=0.78
Let X be a binomial variable that represents the number of adults who need eye correction.
Sample size of adults: n= 12
Binomial ditsribution formula:
Now, the probability that at least 11 of them need correction for their eyesight will be
Hence, the required probability = 0.2224
9514 1404 393
Answer:
x = 12
Step-by-step explanation:
We can find x using either the measure of angle B, or the measure of angle A.
Using A, we have ...
48 = x^2 -8x
Adding 16 completes the square:
64 = x^2 -8x +16 = (x -4)^2
Then the positive solution is ...
√64 = x -4
x = 4 +8 = 12
The triangles are similar when x=12.
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<em>Check</em>
We expect angle B to be 84° when x=12:
(x^2 -5x) = x(x -5) = 12(7) = 84 . . . . as needed
