What equation is always true?

Answer:

there are 4 aces in the deck of 52 cards

so the probability to draw one ace is 4/52

if we draw an ace, there are 3 left in 51 cards.

so the next probability will be 3/51

we need to multiply probabilities to know how likely it is that this happens in a row.

for three in a row that's

[tex] \frac{4}{52} \times \frac{3}{51} \times \frac{2}{50} [/tex]

rewritten its:

[tex] \frac{4 \times 3 \times 2}{52 \times 51 \times 50} [/tex]

we'll see soon why this is easier to write.

we also have to account for the two cards that are no aces. it doesn't matter if the first two cards are no aces, the last two, or any rodney. just the ammount of non-aces is important.

there are 48 non-aces in the deck.

so the probability to draw one of them in the first step is 48/52.

wich each draw the number of cards left in the deck decreases by 1. and depending what we draw, that ammount also decreases.

we draw 5 cards, so we know what the denominators will be. the numerator will be the rest-ammounts of each event, like shown in the complicated fraction above.

let's write it most easily as this:

[tex] \frac{4 \times 3 \times 2 \times 48 \times 47}{52 \times 51 \times 50 \times 49 \times 48} [/tex]

this scenario looks like it only describes 3 aces, then two non-aces, but the order of multiplication isn't important. you could put the 48 and 47 to the left, same solution. so this expression represents all permutations of "3 aces when drawing 5 cards", including the two cards that are not aces.

that's why writing it as one convoluted fraction is indeed better and simpler than many fraction multiplied in row.

time to grap a calculator.

our probability for the event is

54144 possible valid outcomes out of

311875200 possible combinations.

luckily the calculator can reduce that to a simpler form of

[tex] \frac{47}{270725} [/tex]

(reduced with 2^6*3^, big number, but tried it out by hand stacking up prime factors until hittinga prime in the numerator)

written as a readable kind of number you probably know and like it's

0.0001736079047

in decimal form. now rounded as asked for:

0.00017

(as percentage: 0.017%)

hope the way how we got here is somewhat clear. feel free to ask any questions.

kind regards

Alex

Answer:

5x+3y=6

Step-by-step explanation:

Use the slope intercept form then rearrange

Answer:

258

Step-by-step explanation:

Answer:

A is the answer........

Answer:

1 , -2

Step-by-step explanation:

6x^2 + 6x = 12

6x^2 + 6x - 12 = 0

using middle term break method

6x^2 + (12 - 6)x - 12 = 0

6x^2 + 12x - 6x - 12 = 0

6x(x + 2) - 6(x + 2) = 0

(x + 2)(6x - 6) = 0

either (x + 2) = 0                             OR (6x - 6) = 0

x + 2 = 0

x = 0 -2

x = -2

6x - 6 = 0

6x = 6

x = 6/6

x = 1

therefore , x = 1 , -2

9514 1404 393

Answer:

  (a)  none of the above

Step-by-step explanation:

The largest exponent in the function shown is 2. That makes it a 2nd-degree function, also called a quadratic function. The graph of such a function is a parabola -- a U-shaped curve.

The coefficient of the highest-degree term is the "leading coefficient." In this case, that is the coefficient of the x² term, which is 1. When the leading coefficient of an even-degree function is positive, the U curve has its open end at the top of the graph. We say it "opens upward." (When the leading coefficient is negative, the curve opens downward.)

This means the bottom of the U is the minimum value the function has. For a quadratic in the form ax²+bx+c, the horizontal location of the minimum on the graph is at x=-b/(2a). This extreme point on the curve is called the "vertex."

This function has a=1, b=1, and c=3. The minimum of the function is where ...

  x = -b/(2·a) = -1/(2·1) = -1/2

This value is not listed among the answer choices, so the correct choice for this function is ...

  none of the above

__

The attached graph of the function confirms that the minimum is located at x=-1/2

_____

Additional comment

When you're studying quadratic functions, there are few formulas that you might want to keep handy. The formula for the location of the vertex is one of them.

Answer: A

Step-by-step explanation:

[tex]{25x {}^{2} y}^{2} - 16[/tex]

Answer:

23s - 7

Step-by-step explanation:

17s - 10 + 6s + 3

=23s - 7

Answer:

[tex]23s-7[/tex]

Step-by-step explanation:

Given:

[tex]17s-10+3(2s+1)[/tex]

Distribute the parenthesis

[tex]17s-10+6s+3[/tex]

Combine like terms

[tex]23s-7[/tex]

Hope this helps

Step-by-step explanation:

6/5 this is the answer hopes this help

Answer:

5

Step-by-step explanation:

[tex]\frac{15}{3} =5\\3 friends=1 pizza\\15 friends=5 pizzas\\[/tex]

Answer:

Cost = 11 + 4*t

Step-by-step explanation:

Cost = 11 + 4*t

Part A

t = 5 hours.

Cost = 11 + 4*5

Cost = 11 + 20

Cost = 31

Part B

time = t hours.

Cost = 11 + 4*t

for 5h he would need to pay $20 ( +$11 ) $31

i dont know what T is so ya :/

Answer:

m = [tex]-\frac{8}{5}[/tex]

Step-by-step explanation:

m = slope

m = [tex]\frac{y2-y1}{x2-x1}[/tex]

m = [tex]\frac{1--7}{-6--1}[/tex]

m = [tex]\frac{8}{-5}[/tex]

m = [tex]-\frac{8}{5}[/tex]

Answer:

[tex]BD=13[/tex]

Step-by-step explanation:

Note that Ray AC bisects ∠A. Therefore, we can use the Angle Bisector Theorem shown below.

Hence:

[tex]\displaystyle \frac{27}{x+5}=\frac{12}{x}[/tex]

Solve for x. Cross-multiply:

[tex]12(x+5)=27(x)[/tex]

Distribute:

[tex]12x+60=27x[/tex]

Subtract 12x from both sides:

[tex]15x=60[/tex]

Divide both sides by 15. Thus:

[tex]x=4[/tex]

BD is the sum of BC and CD:

[tex]BD=BC+CD[/tex]

Substitute:

[tex]BD=x+(x+5)[/tex]

Substitute and evaluate:

[tex]BD=(4)+(4+5)=13[/tex]

Therefore, BD is 13.

Answer:

8%

Step-by-step explanation:

Rate = 100×Interest ÷ Principal× Time

100× 2500/ 2500 × 8 = 800

800/100 = 8%

I hope this helps

Answer:

Step-by-step explanation:

We will design a truth table to determine the validity of the provided arguments.

As a result, we have the following presumption:

Now;

p            q             ™q             p Vs q              ™q →p

T            T              F                 T                         T

T            F              T                 T                         T

F            T              F                 T                         T

F            F              T                 F                         F

Conclusion:

The given arguments are valid.

Answer:

[tex] \frac{8}{?100} \times 25000[/tex]

=2000

365×10=3650

2000×3650=7300000

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$25000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &10 \end{cases} \\\\\\ A=25000\left(1+\frac{0.08}{1}\right)^{1\cdot 10}\implies A=25000(1.08)^{10}\implies A\approx 53973.12[/tex]

Answer:

t=3

Step-by-step explanation:

sorry if its incorrect i got it right on edgy.

Answer:

?

Step-by-step explanation:

i cant not explian that

Answer:

the answer of the the triangle is 6

Answer:

6

Step-by-step explanation:

First row:

8 ÷ 2 = 4. → Square: 4

Second row:

14 - 4 = 10.

[two circles] = 10. So, 10÷2 = 5.

Circle = 5

Third Row:

[triangle] + 5 = 11

11 - 5 = 6

Triangle = 6

Answer:

tubol mo mabaho kaya 1 too 5 so it means 5 days ka sa cr nag tutubol, ok i hope it helps its the grett answer do it in your solution paper or computers

Answer:

y=3^(x-2) + 1

Step-by-step explanation:

When dealing with graphs I always use a graphing calculator or Desmos to graph and double check my answers especially when doing translations!

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hagg

Answer:

Tan B = 12/5

Sin B = 12/13

Cos B = 5/13

Step-by-step explanation:

sine B =  opposite (12)/hypotenuse (13)

          = 12/13

Cosine B = adjacent/hypotenuse

               = 5/13

Tangent B = opposite/adjacent

                 = 12/5

Here is a picture that can always help you with the three trig ratios.

Answer:

Graph A (first graph from top to bottom)

Step-by-step explanation:

Given [tex]f(x)=x^3-3x^2-4x+12[/tex], since the degree of the polynomial is 3, the function must be odd and will resemble the shown shape in the graphs. The degree of 3 indicates that there are 3 zeroes, whether distinct or non-distinct. Therefore, the graph must intersect the x-axis at these three points.

Factoring the polynomial:

[tex]f(x)=x^3-3x^2-4x+12,\\f(x)=(x+2)(x-2)(x-3),\\\begin{cases}x+2=0, x=-2\\x-2=0, x=2\\x-3=, x=3\end{cases}[/tex]

Thus, the three zeroes of this function are [tex]x=-2, x=2, x=3[/tex] and the graph must intersection the x-axis at these points. The y-intercept of any graph occurs when [tex]x=0[/tex]. Thus, the y-coordinate of the y-intercept is equal to [tex]y=0^3-3(0^2)-4(0)+12,\\y=12[/tex] and the y-intercept is (0, 12).

The graph that corresponds with this is graph A.

The regular price of the desk found using the discount and the selling price is $575.

What is meant by the discount rate of an item?

Discount pricing is a form of promotional pricing strategy where the original cost of a good or service is decreased in an effort to draw more customers, move inventory, and boost sales. Consumers adore feeling as though they are getting a fantastic bargain, which is why they are lured to reduced costs. The selling price is the price at which the good or commodity has actually been sold, whereas the marked price is the cost set by the seller in accordance with market norms. The buyer claims to have received a discount when the selling price is less than the marked price.

Given,

The selling price of the desk = $368

The percentage of discount = 36%

Let the regular price be x.

then we can write the following equation,

x - 36% of x = 368

x - 0.36x = 368

0.64x = 368

x = $575

Therefore the regular price of the desk found using the discount and the selling price is $575.

To learn more about the discount rate, follow the link.

https://brainly.com/question/7459025

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