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We breathe about 15 times per minute, and a hummingbird flaps its wings about 50 times per second. So a rate of 50,000 copies per minute would truly take our breath away and be faster than we could discern with our eyes. Is the 50,000 figure right?

i. Yes. [tex]\[ \frac{300,000}{60} = 50,000 \][/tex]
ii. No. [tex]\[ \frac{500,000}{60} = 8,333.33 \][/tex], not 34.99.
iii. Yes. [tex]\[ \frac{50,000}{300,000} = 0.1667 \][/tex]; and [tex]\[ \frac{0.1667}{20994} = 0.3499 \][/tex]
iv. No. [tex]\[ \frac{300,000}{60} = 5,000 \][/tex], not 50,000.

Sagot :

GinnyAnsweridn
To determine whether the statements given above are correct, let's review the calculations step by step:

### Statement i
Claim: [tex]$300000 / 60 = 50000$[/tex].

Calculate [tex]\( \frac{300000}{60} \)[/tex]:
[tex]\[ \frac{300000}{60} = 5000 \][/tex]

This is incorrect since [tex]\( \frac{300000}{60} \)[/tex] equals 5000, not 50000.

### Statement ii
Claim: [tex]$500000 / 60 = 833.33$[/tex], not 34.99.

Calculate [tex]\( \frac{500000}{60} \)[/tex]:
[tex]\[ \frac{500000}{60} = 8333.33 \][/tex]

So, the claim that the correct result is 833.33 is also wrong, as it should be 8333.33. Nonetheless, the statement is correct in saying it's not 34.99.

### Statement iii
Claim: Yes. [tex]\( \frac{50000}{300000} = 0.1667 \)[/tex]; and [tex]\( \frac{0.1667}{20994} = .3499 \)[/tex].

Calculate
[tex]\( \frac{50000}{300000} \)[/tex]:
[tex]\[ \frac{50000}{300000} = 0.1667 \][/tex]

Then,
[tex]\( \frac{0.1667}{20994} \)[/tex]:
[tex]\[ \frac{0.1667}{20994} \approx 7.94 \times 10^{-6} \][/tex]

The final result of that operation [tex]\( \frac{0.1667}{20994} \)[/tex] is approximately [tex]\( 7.94 \times 10^{-6} \)[/tex] and not 0.3499.

### Statement iv
Claim: [tex]$300000 / 60 = 5000$[/tex], not 50000.

Calculate
[tex]\( \frac{300000}{60} \)[/tex]:
[tex]\[ \frac{300000}{60} = 5000 \][/tex]

This statement is correct; the result is indeed 5000 and not 50000.

### Summary
- Statement i is incorrect: [tex]\( \frac{300000}{60} = 5000 \)[/tex], not 50000.
- Statement ii is partially correct. Correct result is 8333.33, and it is not 34.99. One part correct, one wrong.
- Statement iii is incorrect: [tex]\( \frac{50000}{300000} = 0.1667 \)[/tex], and [tex]\( \frac{0.1667}{20994} \approx 7.94 \times 10^{-6} \)[/tex], not 0.3499.
- Statement iv is correct: [tex]\( \frac{300000}{60} = 5000 \)[/tex], not 50000.

Based on these detailed calculations, we can conclude that only Statement iv is entirely correct. Statements i, ii, and iii are either partially incorrect or completely incorrect.
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