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Pachacha [2.7K]
3 years ago
12

Solve 7(3 − p) − p ≥ 8p + 5 for p.

Mathematics
1 answer:
Blizzard [7]3 years ago
7 0

Answer:

p ≤ 1

Step-by-step explanation:

Given

7(3 - p) - p ≥ 8p + 5 ← distribute left side and simplify

21 - 7p - p ≥ 8p + 5

21 - 8p ≥ 8p + 5 ( subtract 8p from both sides )

21 - 16p ≥ 5 ( subtract 21 from both sides )

- 16p ≥ - 16

Divide both sides by - 16, reversing the symbol as a result of dividing by a negative quantity

p ≤ 1

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Salutations!

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4.8 × 10^{-9} = 4.800000000

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4.800000000 × 24 = 115.2  = 115.2 × 10^{-9} (standard form)

b) 365 days in a year, so multiply 4.800000000 and 365

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What is the standard deviation for the data set?
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Answer:

The standard deviation is 22.6 to the nearest tenth

Step-by-step explanation:

* Lets study how to find the standard deviation (σ) for data set

- First step find the mean of the data

∵ The mean = the sum of the data ÷ the number of the data

# The sum of the data is

  359 + 320 + 365 + 310 + 349 + 351 + 310 + 314 + 364 = 3042

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- Second step find the difference between each data and the mean

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# 320 - 338 = -18 ⇒ (-18)² = 324

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# 310 - 338 = -28 ⇒ (-28)² = 784

# 349 - 338 = 11 ⇒ (11)² = 121

# 351 - 338 = 13 ⇒ (13)² = 169

# 310 - 338 = -28 ⇒ (-28)² = 784

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# 364 - 338 = 26 ⇒ (26)² = 676

- Third step find the variance (σ²)

# Add all the square difference and divide the sum by the

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∴ σ = 22.6 to the nearest tenth

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