Which statement describes the decimal equivalent of 7/8?
2 answers:
Answer:
D: It is a decimal that terminates after 3 decimal places.
Step-by-step explanation:
We are asked to choose the correct statement, which describes the decimal equivalent of 7/8.
First of all let us convert 7/8 in decimal form.
Now let us see our given choices one by one.
A. It is a decimal with a repeating digit of 5.
Repeating decimal is a fractional number in which one or more numbers after the decimal point repeats indefinitely.
We can clearly see that after decimal we got 875 and they are non-repeating, so option A in not correct choice.
B. It is a decimal with a repeating digit of 75.
We have already seen that digits after decimal are 875 and they are non-repeating, therefore, option B is incorrect as well.
C. It is a decimal that terminates after 2 decimal places.
Terminating decimal means there must be finite number of digits after the decimal point.
We can see that the given decimal terminates after 3 decimal places, therefore, option C is incorrect indeed.
D. It is a decimal that terminates after 3 decimal places.
We have already seen that there are 3 finite digits after our decimal, therefore, option D is the correct choice.
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Answer:
μ ≈ 2.33
σ ≈ 1.25
Step-by-step explanation:
Each person has equal probability of ⅓.
The mean is the expected value:
μ = E(X) = ∑ X P(X)
μ = (1) (⅓) + (2) (⅓) + (4) (⅓)
μ = ⁷/₃
The standard deviation is:
σ² = ∑ (X−μ)² P(X)
σ² = (1 − ⁷/₃)² (⅓) + (2 − ⁷/₃)² (⅓) + (4 − ⁷/₃)² (⅓)
σ² = ¹⁴/₉
σ ≈ 1.25