Simplify the following.
can someone pls help 25+ Points And BRAINLIEST.
I know the answer so give step by step explanation.​

In a given permutation of 52 cards, if the 3 of spades is to follow all of the hearts, that means the 3 of spades must be at least the 14th card in the deck.

Consider some possible orderings of the deck:

• If the 3 of spades is the 14th card, then the deck looks like

[all 13 ♥] … 3 ♠ … [all other 38 cards]

There are 13! ways to arrange the 13 hearts at the beginning and 38! ways to arrange the tail of 38 cards. Hence there are 13! × 38! possible rearrangements of the deck where 3 ♠ is the 14th card.

• If 3 ♠ is the 15th card, then the deck looks like

[13 ♥ and 1 other] … 3 ♠ … [all other 37 cards]

and there would be 14! × 37! ways of arranging the cards in this order.

There are 39 possible positions for 3 ♠. Extrapolating, it follows that the total number of permutations of the deck in which all hearts occur before 3 ♠ is

[tex]\displaystyle \sum_{k=0}^{38} (13+k)! \times (38-k)![/tex]

There are 52! total possible ways of rearranging the deck. Then the probability of rearranging the deck so that all hearts are drawn before 3 ♠ is

[tex]\displaystyle \frac1{52!} \sum_{k=0}^{38} (13+k)! \times (38-k)! = \frac{87,031,512,096,420,449}{221,360,321,731,856,907,600} \approx \boxed{0.000393}[/tex]

The resulting function is presented in the image attached below.

In this question we know the graphic of a function and we must draw a new function which is the reflection of the original one around the x-axis. Mathematically speaking, a reflection a around the x-axis is defined by the following operation:

[tex]f'(x) = f(x) - 2\cdot [f(x) - 0][/tex]

[tex]f'(x) = - f(x)[/tex] (1)

Which means that the reflected function is equal to the original function multiplied by -1.

Now, we proceed to represent the reflected function graphically.

We kindly invite to check this question on reflections: https://brainly.com/question/15487308

Answer:

Answer:

Since XBC is 55 degrees and triangle BXC is isosolese, angle BCX is also 55 degrees. 180 - 110 = 70

so angle BXC is 70 degrees.

Answer: (3x+1) (2x-5)

Answer:

x = 4

Step-by-step explanation:

(b)

[tex]\frac{2x+1}{3}[/tex] = 5 - [tex]\frac{1}{2}[/tex] x

Multiply through by 6 ( the LCM of 3 and 2 ) to clear the fractions

2(2x + 1) = 30 - 3x , distribute parenthesis on left side

4x + 2 = 30 - 3x ( add 3x to both sides )

7x + 2 = 30 ( subtract 2 from both sides )

7x = 28 ( divide both sides by 7 )

x = 4

Answer: $459 each month

Step-by-step explanation:

Paisley's mom is paying the loan of $22,032 in 48 equal monthly payments.

In order to find how much each month's payment would be you divide the loan by 48.

22,032 ÷ 48 = 459

Paisley's mom would need to pay $459 each month for 48 months to pay off her loan.

Answer:

0 = 0 = 0 = 0 = 0 < 1 < 6 < 7

0 is equal to 0 is equal to 0 is equal to 0 is equal to 0 is less than 1 is less than 6 is less than 7

0/

1

= 0/

1

= 0/

1

= 0/

1

= 0/

1

< 1/

1

< 6/

1

< 7/

1

Step-by-step explanation:

Answer:

the correct answer is (1, 7)

Step-by-step explanation:

Answer:

15 seconds

Step-by-step explanation:

Answer:

y <  -3/2x + 1

Step-by-step explanation:

Points (-2,4) and (2, -2) are on the graph.

The graph crosses the y-axis at 1 so the y-intercept is 1

Slope = (change in the y-value)/(change in the x-value.

Slope = (-2 - 4)/ [2 - (- 2)]

Slope = -6/4

Slope = -3/2  

The equation of the line : y = -3/2x + 1

Now the graph is dotted and it is shaded down.

Therefore the inequality is y <  -3/2x + 1

Using conditional probability, it is found that there is a 0.9556 = 95.56% probability that Juan chose to get home from work by bus, given that he arrived home after 7 p.m.

Conditional Probability

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

In this problem:

The percentages associated with arriving home after 7 p.m. are:

Hence:

[tex]P(A) = 0.14(0.17) + 0.62(0.83) = 0.5384[/tex]

The probability of both arriving home after 7 p.m. and using bus is:

[tex]P(A \cap B) = 0.62(0.83)[/tex]

Hence, the conditional probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.62(0.83)}{0.5384} = 0.9556[/tex]

0.9556 = 95.56% probability that Juan chose to get home from work by bus, given that he arrived home after 7 p.m.

You can learn more about conditional probability at https://brainly.com/question/14398287

Sum of x and 10 is (x+10)

Half of sum of x and 10 = [tex] \frac{x + 10}{2} \\ [/tex]

Answer:

-25(5)

Step-by-step explanation:

-25 ×5 = -125

Answer:

Angle 5=60°

Step-by-step explanation:

Angle 4 = 180°-116° (adj angles on a str line)

= 64°

Angle 5 = 180°-64°-56° (angle sum of triangle)

= 60°

Answer:

<5 = 60 degrees

Step-by-step explanation:

<4 = 180-116 = 64 degrees

64 + 56 + <5 = 180 degrees

<5 = 180-56-64

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Solution ~

or it can also be expressed as ~

[tex]1 {0}^{8} \\ \\ hope \: \: it \: \: helps \\ \\ see \: \: the \: \: attachement[/tex]

Answer:

[tex]⟼3x {}^{2} + 12 + y[/tex]

Step-by-step explanation:

[tex]Here,2x − 6y + 3x {}^{2} + 7y − 14x [/tex]

[tex] = 3x {}^{2} + 2x - 14x - 6y + 7y[/tex]

[tex] = 3x {}^{2} - 12x - 6y + 7y[/tex]

[tex] = 3x {}^{2} - 12x + y[/tex]

Hello there!

Combine Like Terms:

2x-6y+3x^2+7y-14x

-12x+y+3x^2

3x^2-12x+y

Hope this helps. you!

~Just a determined gal

#CarryOnLearning

Please mark brainliest; I would really appreciate that! :)

[tex]MysteriousNature :)[/tex]

Answer: 3z+6

Step-by-step explanation:

(3) (z+2)

(3) (z)+(3) (2)

3z+6

Answer:

i think it's the 6th option

Step-by-step explanation:

Answer:

H is the height

Step-by-step explanation:

A= Area

B= Base

1/2= 0.5

Answer:

accept length

accept breadth

Area=length *breadth

we multiply the length of a rectangle by the width of the rectangle.

Answer:

going up by 2 numbers

Step-by-step explanation:

Answer:

A=2/6 B=5/6

Step-by-step explanation:

I really hope this helps! (i love math!)

Answer:

1610

Step-by-step explanation:

230 is 1/8 percent, multiply it by 7, get 1610

Recal the binomial theorem:

[tex]\displaystyle (a+b)^n = \sum_{k=0}^n \binom nk a^{n-k} b^k[/tex]

Then

[tex]\displaystyle (2q+p)^{21} = \sum_{k=0}^{21} \binom{21}k (2q)^{21-k} p^k = \sum_{k=0}^{21} \binom{21}k 2^{21-k} q^{21-k} p^k[/tex]

We get the q⁴p¹⁷ term when k = 17, and its coefficient would be

[tex]\dbinom{21}{17} 2^{21-17} = \dfrac{21!}{17!(21-17)!} 2^4 = \dfrac{21\cdot20\cdot19\cdot18}{4\cdot3\cdot2\cdot1}\cdot2^4 = \boxed{95,760}[/tex]

Answer:

Point C

Step-by-step explanation:

Hope it can help you lovelots

Answer:

Parallel

Step-by-step explanation:

So if they have the same slope but different y-intercepts, it would be parallel because the slope stays the same so the line doesnt change, just the starting point

For example use the following equations

y = x + 2  

y = x + 3  

In the graph, these equations are parallel