In a standard deck of cards, there are 26 different red cards. How many possible combinations of 5 red cards
are there from those 26 cards?

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { 14 }}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \frac{2 + \sqrt{3} }{2 - \sqrt{3} } + \frac{2 - \sqrt{3} }{2 + \sqrt{3} } [/tex]

[tex] \\= \frac{2 + \sqrt{3} }{2 - \sqrt{3} } \times \frac{2 + \sqrt{3} }{2 + \sqrt{3} } + \frac{2 - \sqrt{3} }{2 + \sqrt{3} } \times \frac{2 - \sqrt{3} }{2 - \sqrt{3} } [/tex]

[tex] \\= \frac{2 \: (2 + \sqrt{3} )+ \sqrt{3} \: (2 + \sqrt{3} )}{ ({2})^{2} - ({ \sqrt{3} })^{2} } + \frac{2 \: (2 - \sqrt{3} ) - \sqrt{3} \: (2 - \sqrt{3} ) }{ ({2})^{2} - ( { \sqrt{3} })^{2} } [/tex]

[tex]\\ = \frac{4 + 2 \sqrt{3} + 2 \sqrt{3} + 3 }{4 - 3} + \frac{4 - 2 \sqrt{3} - 2 \sqrt{3} + 3}{4 - 3} [/tex]

[tex]\\ = \frac{7 + 4 \sqrt{3} }{1} + \frac{7 - 4 \sqrt{3} }{1} [/tex]

[tex] \\= 7 + 4 \sqrt{3} + (7 - 4 \sqrt{3} )[/tex]

[tex] \\= 7 + 4 \sqrt{3} + 7 -4 \sqrt{3} [/tex]

[tex] \\= 14[/tex]

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

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♨}}}}}[/tex]

Answer:

x = 12

Step-by-step explanation:

Angles in a triangle add up to equal 180 degrees

Hence, 10x - 11 + 3x - 2 + 3x + 1 = 180

( note that we just created an equation that we can use to solve for x )

we now solve for x using the equation we created

10x - 11 + 3x - 2 + 3x + 1 = 180

step 1 combine like terms

10 + 3x + 3x = 16x

- 11 - 2 + 1 = -12

we now have 180 = 16x - 12

step 2 add 12 to each side

- 12 + 12 cancels out

180 + 12 = 192

we now have 192 = 16x

step 3 divide each side by 16

16x / 16 = x

192 / 16 = 12

we're left with x = 12

Answer:

x=12

the seniot math wiz already explained it correctly

Answer:

$93.22

Step-by-step explanation:

bill = $79

tip = 18%

tip amount = tip % of bill

=18/100 * $79

=$1422/100

=$14.22

total cost = $79 + $14.22

=$93.22

Answer:

93.22

Step-by-step explanation:

Find the amount of the tip

79*18%

79 * .18

14.22

Add this to the amount of the bill

79+14.22

93.22

Oh shucks man, I'm sorry bout that

is there a picture of a graph or chart or something?

Answer:

The diagonal is 6.7082 ≈ 6.71

Step-by-step explanation:

Let the diagonal be x :

To find the diagonal of a 3 by 6 rectangle

We can use the Pythagorean Theorem:

[tex]x^{2} = 3^{2} + 6^{2}[/tex]

⇒ [tex]x^{2} = 9 +36[/tex]

⇒ [tex]x^{2} = 45[/tex]

⇒ [tex]x=\sqrt{45}[/tex]

∴ [tex]x =6.7082[/tex] ≈ [tex]6.71[/tex] (corrected to 2 d.p.)

Answer:

See below.

Step-by-step explanation:

You can graph by finding ordered pairs for each function.

Answer:

(y - 8)

Step-by-step explanation:

If you factor the original expression, y^2 - 10y + 16, you get (y-2)(y-8) so (y-8) is the other factor. You could also test this by multiplying (y-2)(y-8) together and seeing if you get the original expression.

Answer:c) y-8

Step-by-step explanation:

Answer:

∠SVU = 49°

Step-by-step explanation:

∠SVU is an inscribed angle and arc SU is the arc it intercepts

If you didn't know an inscribed angle is equal to half the measure of its intercepted arc.

Hence ∠SVU = arc SU / 2

if arc SU = 98

Then ∠SVU = 98/2 = 49

Answer:

Confidence Interval - 2.290 < S < 2.965

Step-by-step explanation:

Complete question

A chocolate chip cookie manufacturing company recorded the number of chocolate chips in a sample of 50 cookies. The mean is 23.33 and the standard deviation is 2.6. Construct a 80% confidence interval estimate of the standard deviation of the numbers of chocolate chips in all such cookies.

Solution

Given  

n=50

x=23.33

s=2.6

Alpha = 1-0.80 = 0.20  

X^2(a/2,n-1) = X^2(0.10, 49) = 63.17

sqrt(63.17) = 7.948

X^2(1 - a/2,n-1) = X^2(0.90, 49) = 37.69

sqrt(37.69) = 6.139

s*sqrt(n-1) = 18.2

[tex]s\sqrt{\frac{n-1}{X^2 _{(n-1), \frac{\alpha }{2} } }[/tex] [tex]\leq \sigma \leq s\sqrt{\frac{n-1}{X^2 _{(n-1), 1-\frac{\alpha }{2} } }[/tex]

confidence interval:

(18.2/7.948) < S < (18.2/6.139)

2.290 < S < 2.965

[tex]f(x)=\frac{1}{9}x-2\\ take:\\x=f(x)^{-1}\\\\f(x)=X\\\\X=\frac{1}{9}f(x)^{-1}-2\\\\(X+2)9 =f(x)^{-1} \\\\f(x)^{-1}=9X+18\\[/tex]

Answer:

22

Step-by-step explanation:

ftrrrrgd fff fftttr fddd

Answer:

Step-by-step explanation:

First find the first radius

c=88cm

=2*22/7*r=88cm

=r=14cm

22/7 (pie as common)(R1^2+R2^2=637cm)

14^2+R2^2=637cm

196+R2^2=637cm

R2^2=637-196=441

R2=√441

R2=21

first radius =14cm

second radius  =21cm

Answer:

81

Step-by-step explanation:

It depends on how many different grades you have and the values of each one of them.

I don't have those things, so Ill just use average.

You'll have an 81

Answer:

8428

Step-by-step explanation:

According to the Question,

We have a number sequence  13, 18, 23, ...

Substitute the given values into the equation to solve for the sum of the 56 rows of seats.

[tex]S_56= \frac{56}{2}[2(13)+(56-1)(5)]\\S_{56}=28\left[26+275\right]\\S_{56}=28\left[301\right]\\S_{56}=8428[/tex]

Therefore, there are 8428 seats in all.

Answer:

g = 7

Step-by-step explanation:

3g - 4 = 17

+ 4 + 4

3g = 21

÷3 ÷3

g = 7

Answer:

g=7

Step-by-step explanation:

First add 17+4=21 to find out how much 3g needs to equal. 3g needs to get to 21. Next, do 21/3=7. g=7

Hope this helps!

Answer:

i dont know bro sorry

for it i hope it help

qnd nice pc

Answer:

the answer is B

Step-by-step explanation:

Answer:

Marked price = Rs 800

Step-by-step explanation:

Let the marked price of the cap be Rs.“x”.

Discount = 20%

VAT = 13%

VAT amount = Rs. 83.20

We know,

      Discount = Marked price – Selling Price

        ⇒ Selling price = Marked price – discount

The price after giving a discount or Selling price:

                                                                          [tex]= x - 20 \% \ of \ x \\\\= x - \frac{20}{100} \times x\\\\=\frac{100x - 20x }{100}\\\\=\frac{80x}{100}\\\\=\frac{8x }{10}\\\\=\frac{4x}{5}[/tex]

VAT amount = VAT% of Selling Price

       [tex]83.20 = 13 \% \ of \ \frac{4x}{5}\\\\83.20 = \frac{13}{100} \times \frac{4x}{5}\\\\13 \times 4x = 83.20 \times 100 \times 5\\\\4x = \frac{8320 \times 5}{13}\\\\4x = 3200\\\\x = 800[/tex]

Thus, the marked price of the cap is Rs. 800.

Answer:

b = 1 - a

Step-by-step explanation:

Given

7 + 7a = 7(2 - b) ← divide both sides by 7

1 + a = 2 - b ( subtract 2 from both sides )

- 1 + a = - b ( multiply through by - 1 )

1 - a = b

Answer:

[tex]b = (a - 1)[/tex]

Step-by-step explanation:

[tex]7 + 7a = 7(2 - b)[/tex]

First Solve the brackets

[tex]7 + 7a = 7(2 - b) \\ 7 + 7a = 14 - 7b[/tex]

Then Make the b as the Subject

[tex]7 + 7a = 14 - 7b \\7 + 7a - 14 = 7b \\ 7a - 7 = 7b \\ 7(a - 1) = 7b \\ \frac{7(a - 1)}{7} = \frac{7b}{7} \\ a - 1 = b[/tex]

hope this helps you.

Have a nice day!

Answer:

840 cm

Step-by-step explanation:

Given that in the question we have, : 9, 1 cm × 1 cm squares setting a 3 × 3 grid.

Therefore wire required in 3 x 3 grid is

3(3+1) + 3(3+1)

= 3 × 4 + 3 × 4

= 24 I'm

Similarly, the length of the wire required in 20 by 20 grid will be

=> 20(20+1) + 20(20+1)

=> 20 × 21 + 20 × 21

=> 420 + 420

= 840cm

Answer:

X = 3.6

Step-by-step explanation:

tan x = O/A

tan 20° = x/10

x = tan 20°(10)

x = 3.6

Answer:

x = 3.6 cm

Step-by-step explanation:

Using trigonometric ratios :

        [tex]sin \theta = \frac{ opposite} {hypotenuse} \\\\cos \theta = \frac{adjacent }{hypotenuse}\\\\tan \theta = \frac{opposite}{adjacent}\\\\[/tex]

[tex]where \ \theta = 20, \ opposite = x \ , hypotenuse = y \ , \ adjacent = 10cm[/tex]

[tex]we \ will \ take \ tan \ 20 , \ because\ we \ have \ to \ find \ opposite \ and \ adjacent \ is\ given.\\\\tan 20 = \frac{x}{10}\\\\x = 10 \times tan 20\\\\x = 10 \times 0.36397\\\\x = 3.6397\\\\x = 3.6 \ cm[/tex]

Answer:

16) 8/X

19) 16x^8

22)81x^8

THE CORRECT EQUATION IS..

(8X+3)°=(7X+12)°

[BEING VERTICALLY OPPOSITE ANGLES ARE ALWAYS EQUAL ]

HOPE THIS HELPS YOU...

Answer:

8x + 3 = 7x + 12

8x -7x= 12-3

x=9

Answer:

10 pounds

Step-by-step explanation:

165 ounces = 10 pounds

Answer:

10 pounds, 5 ounces

Step-by-step explanation:

The phrasing of the question is unclear. 165 ounces is itself a measure of weight, but it can be further broken down into pounds and ounces.

Recall that 1 pound = 16 ounces. Therefore, 165 ounces = 10 pounds with remainder of 5 ounces. Or in simple decimals it is 165 ounces / 16 ounces = 10.3125 pounds.

Answer:

1000 cm

Step-by-step explanation:

Recall that 100 cm = 1 m.

This results in the conversion factor    100cm

                                                              -------------

                                                                   1 m

Then 10 m times the conversion factor shown above yields 1000 cm