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3 years ago

Help with question 24. Please provide explanation! Big points

Mathematics

2 answers:

DerKrebs [107]3 years ago

6 0

Answer:

4/3

Step-by-step explanation:

-3y + 4x = -6

-3y = -6 -4y

slove for Y

y = -6/-3 -4/-3 x

Y = -2 +4/3x

Y = 4/3 x -2

so slope or gradient is coefficient of x

4/3 is gradient.

DochEvi [55]3 years ago

3 0

Answer:

Equation of a straight line= mx+c

where m is the gradient...

-3y + 4x = -6

Rearrange this equation to the form mx+c

-3y = -4x - 6

y = -4/-3x - 6/3

Simplifying we get y = 4/3x - 2

Therefore 4/3 is the gradient because according to the equation y = mx+c, your m value (gradient) is 4/3.

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To avoid detection at customs, a traveler has placed 6 narcotic tablets in an Urn containing 9 vitamin pills that are similar in

Alexus [3.1K]

Answer:

$\frac{4}{91}$

Step-by-step explanation:

We are told that to avoid detection at customs, a traveler has placed 6 narcotic tablets in an Urn containing 9 vitamin pills that are similar in appearance.

To find the probability that the traveler will be arrested for illegal possession of narcotics we will use theoretical probability formula.

$\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Number of possible outcomes}}$

Favorable outcomes will be $_{3}^{6}\textrm{C}$ .

$\text{Favorable outcomes}=_{3}^{6}\textrm{C}=\frac{6!}{(6-3)!3!}$

$\text{Favorable outcomes}=\frac{6!}{3!3!}$

$\text{Favorable outcomes}=\frac{6\cdot 5\cdot 4\cdot3!}{3\cdot 2\cdot 1\cdot3!}$

$\text{Favorable outcomes}=\frac{6\cdot 5\cdot 4}{3\cdot 2}$

$\text{Favorable outcomes}=5\cdot 4=20$

Now let us find number of possible outcomes.

$\text{Number of possible outcomes}=_{3}^{15}\textrm{C}=\frac{15!}{(15-3)!3!}$

$\text{Number of possible outcomes}=\frac{15!}{12!3!}$

$\text{Number of possible outcomes}=\frac{15\cdot 14\cdot 13\cdot 12!}{12!\cdot 3\cdot 2\cdot 1}$

$\text{Number of possible outcomes}=\frac{15\cdot 14\cdot 13}{ 3\cdot 2\cdot 1}$

$\text{Number of possible outcomes}=5\cdot 7\cdot 13=455$

Upon substituting our values in probability formula we will get,

$\text{Probability that the traveler will be arrested for illegal possession of narcotics}=\frac{20}{455}$

Upon dividing numerator and denominator by 5 we will get,

$\text{Probability that the traveler will be arrested for illegal possession of narcotics}=\frac{4}{91}$

Therefore, the probability that the traveler will be arrested for illegal possession of narcotics is $\frac{4}{91}$ .

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3 years ago

The area of a rectangle is 1,357 square feet. The length is 59 feet. What is the width?

dangina [55]

Answer:

w = 23

Step-by-step explanation:

a = l × w

The area and length are given, so you can substitute them in.

1357 = 59 × w

Solve for w:

w = $\frac{1357}{59}$

w = 23

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3 years ago

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Answer:

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2 years ago

A circle is divided into 8 equal parts what is the total angle measure of 4 parts

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3 years ago

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