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3 years ago

18. Given the following four lines, pick the true statement.

Mathematics

2 answers:

Sav [38]3 years ago

8 0

Answer:

Lines 2 and 4 are perpendicular

Step-by-step explanation:

Line 2: 4y=3x-4

y=3/4x - 1

Line 4: 4x+3y=-6

3y=-6-4x

y=-2 - 4/3x

The two lines are perpendicular since -4/3= - (inverse of 3/4)

lisabon 2012 [21]3 years ago

3 0

Answer:perpendicular

Step-by-step explanation:y=3x-1

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The compound probability of two events, E and F, is ; the probability of E is and of F is . In two or more complete sentences, e

lorasvet [3.4K]

Answer:

Events E and F are not independent if the probability of event E occurring is affecting the probability of event F occurring.

Step-by-step explanation:

Two events are independent when the probability of one event occurring has no connection with that of the other event.

Example, when you toss a coin and roll a six sided die, the probability of getting a head or a tail has no connection with the probability of getting any number face.A real life example will be the probability going to the mall and owning a cat at home.These two have no influence on one another.

Mathematically independent events can be calculated as;

P(E∩F)=P(E)-P(F)

3 0

3 years ago

The equation tan(55) = 15/b can be used to find the length of line AC.what is the length of line AC round to the nearest 10th 3.

Nadusha1986 [10]

Answer:

10.5 in

Step-by-step explanation:

Given

$tan(55) = \frac{15}{b}$

Required

Find length AC

The question is not detailed enough; so, I'll assume that b represents line AC.

Having said that;

We start by multiplying both sides by b

$tan(55) = \frac{15}{b}$

$b * tan(55) = \frac{15}{b} * b$

$b * tan(55) =15$

Divide both sides by tan(55)

$\frac{b * tan(55)}{tan(55)} = \frac{15}{tan(55)}$

$b = \frac{15}{tan(55)}$

Find tan(55)

$b = \frac{15}{1.42814800674}$

$b = 10.5031130731$

$b = 10.5$ <em>(Approximated)</em>

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Length AC is 10.5

7 0

4 years ago

Read 2 more answers

The number of a certain company's video stores can be approximated by the linear equation y= -264x+4682, where x is the number o

ahrayia [7]

Answer:

Missing co-ordinate for the ordered pair is $(7,2834)$

Y-intercept is $(0,4682)$

X-intercept is $(17.73,0)$

Step-by-step explanation:

The number of a certain company's video stores can be approximated by the linear equation

$y= -264\ x+4682$

where $y$ is the number of stores and $x$ represents the number of years after 1990.

To find the missing co-ordinate for the ordered pair solution $(7,?)$

For the ordered pair, we are given the $x$ value which is =7 i.e 7 years after 1990. Thus we will plugin $x=7$ in the linear equation to get the $y$ value which is number of stores after 7 years from 1990.

$y= -264\ (7)+4682$

$y= -1848+4682$

$y= 2834$

Thus the ordered pair is $(7,2834)$

To find y-intercept which is the point where the line touches the y-axis, we would plugin $x=0$ in the equation as the x-coordinate is 0 at y-axis.

$y= -264\ (0)+4682$

$y= 0+4682$

$y=4682$

Thus y-intercept is at point $(0,4682)$

To find x-intercept which is the point where the line touches the x-axis, we would plugin $y=0$ in the equation as the y-coordinate is 0 at x-axis and thus for $x$