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masha68 [24]
3 years ago
15

Two cards are drawn without replacements from a standard deck of 52 playing cards what is the probability of choosing a king for

the second card drawn if the first card drawn was a queen
Mathematics
1 answer:
prohojiy [21]3 years ago
4 0
20% chance of drawing out of 52 because it is probly shuffeld
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Evaluate the limit of tan 4x/ 4tan3x​
Brut [27]

Answer:

  1/3

Step-by-step explanation:

The ratio is undefined at x=0, so we presume that's where we're interested in the limit. Both numerator and denominator are zero at x=0, so L'Hôpital's rule applies. According to that rule, we replace numerator and denominator with their respective derivatives.

  \displaystyle\lim\limits_{x\to 0}\dfrac{\tan{(4x)}}{4\tan{(3x)}}=\lim\limits_{x\to 0}\dfrac{\tan'{(4x)}}{4\tan'{(3x)}}=\lim\limits_{x\to 0}\dfrac{4\sec{(4x)^2}}{12\sec{(3x)^2}}=\dfrac{4}{12}\\\\\boxed{\lim\limits_{x\to 0}\dfrac{\tan{(4x)}}{4\tan{(3x)}}=\dfrac{1}{3}}

6 0
3 years ago
BRAINLIEST + POINTS<br><br> Can someone explain why is B correct? Please show your work
Viefleur [7K]

Answer:

B. $1680

Step-by-step explanation:

Note the simple interest formula:

Interest = (Principal)(rate)(time)

Principal = $6000

Rate = 7% = 0.07

Time = 4

Plug in the corresponding numbers for the corresponding variables.

I = (P)(R)(T)

I = (6000)(0.07)(4)

Multiply.

I = (24000)(0.07)

I = 1680

Interest is $1680.

~

5 0
3 years ago
Which of the following are the most likely factors of the function graphed above?
alexandr402 [8]

Answer: OPTION C.

Step-by-step explanation:

You can observe in the graph that the solutions of the Quadratic function are:

x=-5\ or\ x=1

By definition, the parabola intersects the x-axis when the value of "y" is zero, applying the Addition property of Equality:

x+5=-5+5\\\\x+5=0

Applying the Subtraction property of Equality:

x-1=1-1\\\\x-1=0

The Zero Product property states that:

If a*b = 0  then a = 0\ or \ b = 0

Then, you know that:

(x-1)(x+5)=0

Therefore the most likely factors of the function graphed above are:

(x-1)(x+5)

3 0
3 years ago
Help!! Gotta finish 2 units in 4 days!!
Step2247 [10]

Answer:

\large \boxed{\sf \ \ g(x)=3|x| \ \ }

Step-by-step explanation:

Hello,

Let's follow the instructions !

Step 1

g(x)=k*f(x)=k*|x|

We know that the point (2,6) is on the graph so 6=g(2) meaning:

6=k*|2|=k*2

*** divide by 2 both sides ***

k = 6/2 = 3

Step 2

g(x)=3*|x|

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

8 0
3 years ago
The lines represented by the equations y=x+5 and 2y-2x=10 are
ioda

The equations representing the lines, y=x+5 and 2y-2x=10, have the same slope, therefore the lines are parallel.

<em><u>Recall:</u></em>

  • Two lines that are parallel will have the same slope value.
  • Two lines that are perpendicular to each other will have slopes that are negative reciprocal of each other.
  • Equation representing a line in slope-intercept form is: y = mx + b, where m is the slope.

<em><u>Given:</u></em>

y = x + 5

2y - 2x = 10

The slope of y = x + 5 is 1.

Rewrite 2y - 2x = 10 in slope-intercept form to determine its slope.

2y - 2x = 10

2y = 2x + 10

  • Divide both sides by 2

y = x + 5

Thus, the slope of y = x + 5 (2y - 2x = 10) is also 1.

The equations representing the lines, y=x+5 and 2y-2x=10, have the same slope, therefore the lines are parallel.

Learn more about slope of parallel lines on:

brainly.com/question/10790818

4 0
2 years ago
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