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MrRa [10]
3 years ago
8

My number is the smallest possible number that can be rounded to the nearest 10 to become 650

Mathematics
1 answer:
daser333 [38]3 years ago
7 0

Answer: 645

Step-by-step explanation: 645 rounded to the nearest 10 is 650. Anything below 645 doesn't round to 650. With the five in the ones place, 645 is the smallest possible number that can be rounded to 650.

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Simplify 2d(3) expression
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In the equation y=a(x-h)^2+k, the "k" translates the parabola in what manner?
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k is the vertical shift

Step-by-step explanation:

y=a(x-h)^2+k

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k is the vertical shift

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6 0
4 years ago
Verify that the functions are probability mass functions, and determine the requested probabilities.
Free_Kalibri [48]

Answer:

a) 3/64 = 0.046 (4.6%)

b) 63/64 = 0.9843 (98.43%)

c) 1/64 = 0.015 (1.5%)

d) 1/4 = 0.25 (25%)

Step-by-step explanation:

in order to verify that the f(x) is a probability mass function , then it should comply the requirement that the sum of probabilities over the entire space of x is equal to 1. Then

∑f(x)*Δx = 1

if f(x)=(3/4)(1/4)^x , x = 0, 1, 2, ...

then Δx=1 and

∑f(x) = (3/4)∑(1/4)^x = (3/4)* [ 1/(1-1/4)] = (3/4)*(4/3) = 1

then f represents a probability mass function

a) P(X = 2)= f(x=2) = (3/4)(1/4)^2 = 3/64 = 0.046 (4.6%)

b) P(X ≤ 2) = ∑f(x) =  f(x=0)+ f(x=1) + f(x=2) = (3/4) + (3/4)(1/4) +  3/64 = 63/64 = 0.9843 (98.43%)

c) P(X > 2)= 1- P(X ≤ 2) = 1 - 63/64 = 1/64 = 0.015 (1.5%)

d) P(X ≥ 1) = 1 - P(X < 1) = 1 - f(x=0) = 1- 3/4 = 1/4 = 0.25 (25%)

4 0
3 years ago
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