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boyakko [2]
3 years ago
11

Solve 3.5x + 10 < -30

Mathematics
1 answer:
romanna [79]3 years ago
7 0

Answer:

x < <em>-11.4285......</em>

Step-by-step explanation:

<u>Step 1:  Subtract 10 from both sides</u>

3.5x + 10 - 10 < -30 - 10

<em>3.5x < -40</em>

<u>Step 2:  Divide both sides by 3.5</u>

3.5x / 3.5 < -40 / 3.5

<em>x < -11.4285......</em>

Answer:  x < <em>-11.4285......</em>

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Which equation is in slope intercept form and represents a line with the slope three through the point (9,-4)
beks73 [17]

Answer:

y = 3x - 31

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = 3, thus

y = 3x + c ← is the partial equation

To find c substitute (9, - 4) into the partial equation

- 4 = 27 + c ⇒ c = - 4 - 27 = - 31

y = 3x - 31 ← equation in slope- intercept form

7 0
4 years ago
Josh travels frequently. For a particular airline, it takes 20 minutes for the first bag to arrive in baggage claim after a flig
Orlov [11]

Using the uniform distribution, it is found that:

A,B) 0.3 of the time does it take longer than 27 minutes for Josh’s bag to arrive in baggage claim.

C) 20% of the time does Josh’s bag arrive in less than 22 minutes.

--------------------------

An uniform distribution has two bounds, a and b.  

The probability of finding a value of at lower than x is:

P(X < x) = \frac{x - a}{b - a}

The probability of finding a value between c and d is:

P(c \leq X \leq d) = \frac{d - c}{b - a}

The probability of finding a value above x is:

P(X > x) = \frac{b - x}{b - a}

--------------------------

  • In the graph, we have that the distribution is uniform between 20 and 30 minutes, thus a = 20, b = 30

--------------------------

Itens a and b:

  • Above 27 minutes, thus:

P(X > 27) = \frac{30 - 27}{30 - 20} = 0.3

0.3 of the time does it take longer than 27 minutes for Josh’s bag to arrive in baggage claim.

--------------------------

Item c:

  • Less than 22 minutes, thus:

P(X < 2) = \frac{22 - 20}{30 - 20} = 0.2

0.2*100 = 20%

20% of the time does Josh’s bag arrive in less than 22 minutes.

A similar problem is given at brainly.com/question/15855314

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Step-by-step explanation:

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