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3 years ago

-2 ( 6 + 7n ) = 3n + 5

Mathematics

1 answer:

jek_recluse [69]3 years ago

7 0

Answer:

n = -1

Explanation:

First we need to distribute the -2 throughout the variable getting us to

-12 - 14n = 3n + 5

Then we need to move the variable n to one side and isolate it. To do this, subtract 3n from both sides and add 12 to both sides.

-17n = 17

Now, we need to remove the co-efficient from n, so we need to divide both side by -17.

n = -1

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multiply

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3 years ago

X squared plus 8X +12

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Answer:

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Step-by-step explanation:

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3 years ago

Use Newton's method with initial approximation x1 = 1 to find x2, the second approximation to the root of the equation x4 − x −

drek231 [11]

Answer:

$x_{2} = 0.0000$

Step-by-step explanation:

The formula for the Newton's method is:

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3 years ago

The heights of women aged 20 to 29 are approximately normal with mean 64 inches and standard deviation 2.7 inches. Men the same

san4es73 [151]

Answer:

Step-by-step explanation:

$Z=\frac{x-mu}{\sigma }$

X - Heights of women aged 20 to 29: X is N(64, 2.7)

Y - Heights of men aged 20 to 29: X is N(69.3, 2.8)

a) X=6'=72"

Z= $\frac{72-64}{2.7} =2.963$

b) Y = 72"

z= $\frac{72-69.3}{2.8} =0.965$

c) 72' women can be taken as very tall but men moderately taller than average

d) Y<5'5" =65"

Z< $\frac{65-69.3}{2.8} =-1.536$

e) X>73"

Z> $\frac{73-64}{2.7} =3.33$

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4 years ago

A vehicle arriving at an intersection can turn right, turn left, or continue straight ahead. The experiment consists of observin

Temka [501]

Answer:

a) Sample space (S) = {TR, TL, Cs}

b) Pr(Vehicle Turns) = 2/3.

Step-by-step explanation:

a) By sample space (S) we mean the list all possible outcome of an event. From the illustration in the question, only three (3) outcome is possible:

i) Vehicle Turn Right (TR)

ii) Vehicle Turn Left (TL)

iii) Continue Straight ahead (Cs)

And since the experiment consists of observing the movement of a single vehicle through the intersection, then, the sample space (S) is:

==> {TR, TL, Cs}

b) Since we are assuming that all sample points are equally likely, it imply that they have equal probability of occurring. And by probability:

Pr(TR) = 1/3

Pr(TL) = 1/3

Pr(Cs) = 1/3

Meanwhile, the question wants us to find the probability that the vehicle turns. This means, the vehicle turning either right or left. Thus;

Pr(vehicle turns) = Pr(TR) or Pr(TL) = Pr(TR) + Pr(TL)

Pr(vehicle turns) = (1/3) + (1/3) = 2/3

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3 years ago