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mariarad [96]
3 years ago
14

Solve for n: 21k – 3n + 9p > 3p + 12.

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
6 0
21k - 3n + 9p > 3p + 12....for n
-3n > 3p + 12 - 9p - 21k
n < (3p + 12 - 9p - 21k) / -3
n < -p - 4 + 3p + 7k
n < 2p - 4 + 7k <===
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The following data represent the flight time​ (in minutes) of a random sample of seven flights from one city to another city. 28
anzhelika [568]

Answer:

Range = 281-256= 25

In order to calculate the sample deviation we need to calculate the mean given by:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

And replacing we got:

\bar X= 265

And the standard deviation can be calculated with this formula:

s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

And replacing we got:

s = 8.426

Step-by-step explanation:

For this case we have the following data given:

281​, 269​, 259​, 265​, 256​, 259​, 266

The range is defined as:

Range = Max -Min

And if we replace we got:

Range = 281-256= 25

In order to calculate the sample deviation we need to calculate the mean given by:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

And replacing we got:

\bar X= 265

And the standard deviation can be calculated with this formula"

s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

And replacing we got:

s = 8.426

4 0
3 years ago
the height of a triangle is 7cm greater than its base and its area is 15cm squared. find the value of its height
Rudiy27

Answer:

Step-by-step explanation:

Let base be b, height be h

h = 7+b or we can say that b = h -7

A = 15 cm²

General formula for area of a triangle

A = b · h

Substitute what we know to find the height h

15 = (h-7) · h

15 = h² -7h

0 = h²-7h -15

h = (7 ±√49 + 4·1·15)/2

h = (7 ±√109)/2

h ≈ -1.72 reject this solution because height cannot be negative

h ≈ 8.72 cm

5 0
2 years ago
Select all of the benefits to buying a home:
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The benefits are 2, 3, 4, 6 & 7. The benefits listed are more on the business side in house purchasing. It is said that it is a good form of investment. You can stop paying for rents and have a sense of ownership, eventually, you can rent out or sell your house for higher values. Nowadays, owning a house is also quite easier due from easily accessible loans.
4 0
3 years ago
The table below represents a linear function f(x) and the equation represents a function g(x):
9966 [12]

Answer:

<u>Use 2 points from he table to find the slope of f(x):</u>

  • (0, -1) and (1, 7)

<u>The slope is:</u>

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The y - intercept is b = -1 according to point (0, -1).

<h3>Part A</h3>

<u>The lines are:</u>

  • f(x) = 8x - 1
  • g(x) = 3x - 2

The f(x) has greater slope since 8 > 3 and greater y-intercept since -1 > - 2.

<h3>Part B</h3>

See above

8 0
3 years ago
6&gt;&gt;&gt;&gt;&gt;&gt;&gt;(3 3 )
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If I calculated correcty hdnnzsunssbvsbanaj?;?$;:hdmnduzvehev that is your answer
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