Answer:
After 5.6 weeks they will have the same number of comic books.
Number of books = 61
Step-by-step explanation:
Tom currently has 5 comic books in his collection and has subscribed to receive 5 new comic books each month.
Again, his uncle has 145 comic books but sends five to each of his 3 nieces each month.
As Tom is one of his nieces so, in every week the collection of tom gets increases by (5 + 5) = 10
Therefore, after w weeks tom's collection will have C₁ = 5 + 10w ......... (1)
And Tom's uncle will have after w weeks C₂ = 145 - 15w ............ (2) comic books in his collection.
If C₁ = C₂ , then
5 + 10w = 145 - 15w
⇒ 25w = 140
⇒ w = 5.6 weeks.
Therefore, after 5.6 weeks they will have the same number of comic books. (Answer)
And the number of books it will be
C = 5 + 10 × 5.6 = 61. (Answer)
Answer: 95% of adult males have diastolic blood pressure readings that are at least 102 mmHg
Step-by-step explanation:
The empirical rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean . The empirical rule is further illustrated below
68% of data falls within the first standard deviation from the mean.
95% fall within two standard deviations.
99.7% fall within three standard deviations.
From the information given, the mean is 82 mmHg and the standard deviation is 10 mmHg.
2 standard deviations = 2 × 10 = 20
82 + 20 = 102 mmHg
Therefore, 95% of adult males have diastolic blood pressure readings that are at least 102 mmHg.
Answer:
2 ( a + 7)
Step-by-step explanation:
2a + 14
both 2a and 14 are divisible by 2
2a/a = a
14/2 = 7
2( a + 7) = 2a + 14
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-Chetan K
