luke went to a blackjack table at the casino. at the table, the dealer has just shuffled a standard deck of 52 cards. luke has had good luck at blackjack in the past, and he actually got three blackjacks with queens in a row the last time he played. because of this lucky run, luke thinks that queens are the luckiest card. the dealer deals the first card to him. in a split second, he can see that it is a face card, but he is unsure if it is a queen. what is the probability of the card being a queen, given that it is a face card? answer choices are in a percentage format, rounded to the nearest whole number.

Step-by-step explanation:

1. C(x) is in vertex form so let write the function out.

[tex]a(x - 1) {}^{2} + b[/tex]

B is our maximum value so b=9.

[tex]a(x - 1) { }^{2} + 9[/tex]

To find a, we know that when x=5 is a root so plug 5 in for x to find a.

[tex]a(5 - 1) {}^{2} + 9 = 0[/tex]

[tex]a(4) {}^{2} + 9 = 0[/tex]

[tex]16a = - 9[/tex]

[tex]a = - \frac{9}{16} [/tex]

2.. Let convert Chelesa function into. standard form.

[tex] \frac{ -9 }{16} (x - 1) {}^{2} + 9[/tex]

[tex] - \frac{9}{16} (x {}^{2} - 2x + 1) + 9[/tex]

[tex] - \frac{9}{16} {x}^{2} + \frac{9}{8} x + \frac{135}{16} [/tex]

Let see which value has the higher constant.

135/16 is more than 8 so Chelsea jumper higher.

3. Set Herritea equation equal to zero.

[tex] - \frac{2}{9} {x }^{2} + 8 = 0[/tex]

[tex] - \frac{2}{9} x {}^{2} = - 8[/tex]

Multiply both sides by the reciprocal of negative 2/9.

[tex] {x}^{2} = - 8 \times - \frac{9}{2} [/tex]

[tex] {x}^{2} = 36[/tex]

[tex]x = 6[/tex]

We talking positive distance so the answer is she has moved 6 units horinzontial.

4. The domain of C is all real numbers and the range is All real numbers that are less than or equal to 9.

The domain of H is all real numbers, the range of H is all real numbers that are less than or equal to 8.

5. That means that the y values are equal when x=3.7

Answer:

57

Step-by-step explanation:

Let c represent the number of children ($1.75 each) and a represent the number of adults ( $2.00 each).

We know that there were 340 people total, so c + a = 340. This implies that a = 340 - c

We also know that $1.75 c + $2.00 a = $609.25

By substituting a with 340 -c we have $1.75 c + $2.00 (340 -c) = $609.25

Use the distributive property to obtain $1.75 c + $680 - $2.00 c = $609.25

Subtract $680 from both sides and combine like terms to get - $0.25 c = -

$70.75

Now, divide both sides by -$0.25 to get c = 283, the number of children.

The number of adults is 340 - c or 340 - 283 = 57

Answer:

Step-by-step explanation:

Determine the dimensions of a rectangle if:

A = x2 – 19x – 90

Answer:

x= -10

Step-by-step explanation:

Answer:

x = 24

Step-by-step explanation:

To simplify the work we can use the Pytaghoran theorem in this way:

x^2 + x^2 = (24√2)^2

2x^2 = 24^2 *(√2)^2

2x^2 = 576 * 2

x^2 = 576

x = +/- √576

x = +/- 24

we choose only the positive value because a length can’t be negative

x = 24

Answer:

CD=13

Step-by-step explanation:

The figure is symmetrical, as evidenced by the angle measures being marked at the top.

Answer:

13

Step-by-step explanation:

If you look up at the top, you can see that there is two angles that are the same, so that must mean that it can be folded down perfectly.

hope this helps!

Answer:

B. k=7

Step-by-step explanation:

28/4=7

56/8=7

84/12=7

etc... good luck!

Answer:

if there are answer choices i would put the closest one to 16

Answer:

27,000 in.3

Step-by-step explanation:

Answer:

its 27,000 I got it right lol thanks to the person ^^^

Step-by-step explanation:

add me on sc whyhate_naya

Answer:

y = 4(x + 2)^2 + 1   (Answer B)

Step-by-step explanation:

Here we're given h = -2 and k = 1.  Right away we know that the vertex form of the pertinent equation is

y = 4(x + 2)^2 + 1   (Answer B)

Answer:

Should be 63 degrees

Step-by-step explanation:

I can't tell if that's one of your options.

Answer and Step-by-step explanation:

[tex]\frac{9}{10}[/tex] ÷ [tex]\frac{4}{10}[/tex]

([tex]\frac{2}{5}[/tex] × [tex]\frac{2}{2} = \frac{4}{10}[/tex])

[tex]\frac{9}{10}[/tex] ÷ [tex]\frac{4}{10}[/tex] = [tex]\frac{90}{40} = \frac{9}{4} = 2.25[/tex] - This is the answer.

#teamtrees #PAW (Plant And Water)

Answer:

13.312 * 10^24

Step-by-step explanation:

=> (2.37)^3 * 10^24

=> 13.312 * 10^24

Please mark my answer as the brainliest for further answers :)

Answer:

Therefore the second pizza of 10inch is More

Y>X

Step-by-step explanation:

From the question we are told that:

Diameter of pizzas

Pizza one [tex]D_1=16[/tex]

Pizza two [tex]D_2=10[/tex]

Generally the equation for amount of half of pizza one X is mathematically given by

[tex]X=\frac{1}{2}\pi r^2[/tex]

[tex]X=\frac{1}{2}\pi 8^2[/tex]

[tex]X=100.53inch^2[/tex]

Generally the equation for amount of pizza two Y is mathematically given by

[tex]Y=\pi r^2[/tex]

[tex]Y=\pi 10^2[/tex]

[tex]Y=314.16inch^2[/tex]

Therefore the second pizza of 10inch is More

Y>X

Answer:

26

Step-by-step explanation:

Answer:

m(arc WXY) = 224°

Step-by-step explanation:

By inscribed angle theorem,,

"Measure of intercepted arc is double of the inscribed angle"

m(arc WXY) = 2[m(∠YCW)]

Here, arc WXY is the intercepted arc and ∠YCW is the inscribed angle.

By substituting the value of inscribed angle,

m(arc WXY) = 2(112°)

                     = 224°

Therefore, measure of arc WXY is 224°.

Answer:

2.2:1

Step-by-step explanation:

Found the cube root of 1331

[tex] \sqrt[3]{1331} = 11[/tex]

Reciprocal of 0.2 is

[tex] \frac{1}{0.2} = 5[/tex]

Our ratio is 11:5. Our right hand number must equal 1 so we divide 5 by both sides.

[tex]11 \div 5 = 2.2[/tex]

So our n is 2.2

Answer:

2.2:1

Step-by-step explanation:

Step-by-step explanation:

1st - false

2nd - true

3rd - false

Answer:

it is true, true, false. your welcome

Answer:

x=9

Step-by-step explanation:

Since, these angles are identified as vertical angles, both sides are equal to each other. So, in order to solve this problem, we have to set the equations equal to each other: (7x+3 = 10x-24).

Answer:

2000 linear feet

becouse 21-19=2 so thats his profit per linear foot

and it costs him 4000 so to get that amount he has to sell 2000 because 2000×2=4000

Answer:

b

Step-by-step explanation:

Answer:

12/40

Step-by-step explanation:

12/40=3/10

Given :

A circle is inscribed in a square with a side length of 144.

So, radius of circle, r = 144/2 = 72 units.

To Find :

The probability that the point is inside the circle.

Solution :

Area of circle,

[tex]A_c = \pi r^2\\\\A_c = 3.14 \times 72^2\ units^2\\\\A_c = 16277.76 \ units^2[/tex]

Area of square,

[tex]A_s = (2r)^2\\\\A_s = ( 2 \times 72)^2\ units^2\\\\A_s = 20736\ units^2[/tex]

Now, probability is given by :

[tex]P = \dfrac{A_c}{A_s}\\\\P = \dfrac{16277.76}{20736}\\\\P = 0.785[/tex]

Therefore, the probability that the point is inside the circle is 0.785 .

Answer:

yo wanna know want to know wants I had that problem you do...

The answer is 10 ez

Step-by-step explanation:

10.7*8.8 which is 94.16

and then you divide that by 941.6/94.16=10 so then answer is 10

Answer:

the probability is 0.25

Step-by-step explanation:

first flip if head:0.5

second flip after head:0.5 each

first flip if tails:0.5

second flip after tails:0.5 each

0.5 x 0.5 = 0.25

Answer:

11 boxes of candles

Step-by-step explanation:

first, set it up as an equation. let x stand for the amount of boxes she needs.

100=8x+15

next, subtract 15 from both sides of the equation.

100-15=8x+15-15

85=8x

then, you need to get x by itself. to do this, divide 8 from both sides of the equation.

85/8=8x/8

x=10.62, but you can't buy half a box, so you have to round up.

so, she needs to buy 11 boxes of candles.