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3 years ago

The equation for a line is 4x -3y=24. What is the slope of the line?

Mathematics

2 answers:

MA_775_DIABLO [31]3 years ago

4 0

Your answer is M= 4/3

eimsori [14]3 years ago

3 0

$\bf 4x-3y=24\implies 4x-24=3y\implies \cfrac{4x-24}{3}=y \\\\\\ \cfrac{4x}{3}-\cfrac{24}{3}=y\implies \stackrel{\stackrel{m}{\downarrow }}{\cfrac{4}{3}}x-8=y~\hspace{5em} \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}$

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Perform the indicated operation and write the answer in the form a + bi. (–1 + 5i) + (3 + 7i)

pashok25 [27]

Answer:

12i + 2

Step-by-step explanation:

Combine like terms.

-1 + 3 = 2

5i + 7i = 12i

12i + 2 is your answer.

5 0

3 years ago

The number of typing errors made by a typist has a Poisson distribution with an average of three errors per page. If more than t

damaskus [11]

Answer:

0.6472 = 64.72% probability that a randomly selected page does not need to be retyped.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

Poisson distribution with an average of three errors per page

This means that $\mu = 3$

What is the probability that a randomly selected page does not need to be retyped?

Probability of at most 3 errors, so:

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

In which

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498$

$P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494$

$P(X = 2) = \frac{e^{-3}*3^{2}}{(2)!} = 0.2240$

$P(X = 3) = \frac{e^{-3}*3^{3}}{(3)!} = 0.2240$

Then

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0498 + 0.1494 + 0.2240 + 0.2240 = 0.6472$

0.6472 = 64.72% probability that a randomly selected page does not need to be retyped.

3 0

2 years ago

What is 96% of 63 <img src="https://tex.z-dn.net/?f=96%25%20of%2063" id="TexFormula1" title="96% of 63" alt="96% of 63" align="a

balu736 [363]

Answer:

i think you multiply 63 × 96 then divide 6,048 /100

3 0

2 years ago

Read 2 more answers

Q # 1 simplify the expression

Agata [3.3K]

<u>Answer</u>

95,040

<u>Explanation</u>
The interpretation of this expression is; the number of permutation of 5 objects out of 12.

12P5 = 12!/(12-5)!

=12!/7!
=(12×11×10×9×8×7×6×5×4×3×2×1)/(7×6×5×4×3×2×1)

=12×11×10×9×8
=95,040

5 0

3 years ago

The two rectangular prisms are similar. What is the volume of the larger rectangular prism? 240 cm³ 540 cm³ 1620 cm³ 3240 cm³ A

Andreas93 [3]

Volume of a figure is measure of the space it occupies. The volume of the larger rectangular prism is given as: Option C: 1620 cm³

<h3>How to calculate volume of a rectangular prism?</h3>

If a rectangular prism has dimensions <u>a</u> unit, <u>b</u> unit, and <u>c</u> units, then its volume is given as

$V = a \times b \times c \: \rm unit^3$

<h3>What are similar figures?</h3>

They are scaled. It means, if two figures are similar, then we can get one figure from another by multiplying some constant value(same for one pair of similar figure) to its dimensions.

For example,

if for given case, one rectangular prism has got dimensions a, b, and c centimetres, then

the second rectangular prism, which is similar, let the scale factor is 'd',t then second prism's dimensions will be a x d units, b x d units, and c x d units.

For first prism(smaller), its one side is given to be 5 cm, let its other two sides be 'b' cm, and 'c' cm, then,

$60 \: \rm cm^3 = 5\times b\times c \\\\b\times c = \dfrac{60}{5} = 12$

Now, the larger prism has 15 cm corresponding side, thus, scale factor was 3 (since 15 is 3 times 5).

Thus, its dimensions would be 15, 3 x b, 3 x c

Thus, its volume would be

$15 \times 3 \times b \times 3 \times c = 135 \times b\times c = 135 \times 12 = 1620 \: \rm cm^3$

Thus,

The volume of the larger rectangular prism is given as: Option C: 1620 cm³

Learn more about volume of rectangular prism here:

brainly.com/question/21308574

5 0

2 years ago