Eight times a number is not less than the sum of the number and fifty

1 answer:

4 0

If the number is n, then 8 times n ≥ n+50, and by subtracting n from both sides we get 8n-n ≥ 50 and 7n ≥50. Therefore, by dividing by 7, n ≥50/7

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the cricket team and the football team are sharing the field for their practices today. the cricket team meets for practice ever

polet [3.4K]

Answer:

4 days

Step-by-step explanation:

Crickets team = every 2 days

Football team = every 4 days

How much days from now will they have to share the field again?

Find the lowest common multiple of 2 days and 4 days

2 days = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20

4 days = 4, 8, 12, 16, 20

The lowest common multiple of 2 days and 4 days = 4 days

Therefore, if the football team and Crickets team share the field to practice today, they will have to share the field again in the next 4 days

3 0

3 years ago

Suppose that the mean systolic blood pressure for women over age seventy is 134 mmHg (millimeters of mercury), with a standard d

IceJOKER [234]

Answer:

See below for answers (in bold) and explanations

Step-by-step explanation:

Part A

According to the Empirical Rule, 99.7% of the data in a normal distribution are ±3σ standard deviations away from the mean. Hence, approximately 99.7% of women over seventy have blood pressures between 134-3σ = 134-3(7) = 134-21 = 113 mmHg and 134+3σ = 134+3(7) = 134+21 = 155 mmHg.

Part B

As 141-134=134-127=7, this represents ±1σ standard deviations away from the mean of 134 mmHg, which corresponds to 68% of the data by the Empirical Rule. Hence, approximately 68% of women over seventy have blood pressures between 127 mmHg and 141 mmHg