2.75 Cards are dealt, one at a time, from a standard 52-card deck. a If the first 2 cards are both spades, what is the probability that the next 3 cards are also spades

Answers

Answer 1

Answer:

The answer is "0.00842".

Step-by-step explanation:

Due to these cards, a conventional 52-card set is dealt one at a time.

While the first two cards are spades, then it would be expected that we could find the next three cards tents, too.

Let A draw 2 spade cards out of 52 cards. Let B become the occasion to draw 3 spade cards the remaining 50 end cards [tex](A \cap B)[/tex] was its case where a 52 card spade is chosen [tex](2+3)=5[/tex].

The number of plots drawn first from 13 regular 52-cerd decks equals number of,[tex]n(A)=\binom{13}{2}[/tex]  probability of event [tex]A, PA =\frac{\binom{13}{2}}{\binom{52}{2}}[/tex]

Furthermore, the multitude of possibilities we can pull from of the remaining 11 spades of the previous 3 cards is 50-card decks standard, [tex]n (B) = \binom{11}{3}[/tex]  then, the probability of event, [tex]B, P(B)=\frac{\binom{11}{3}}{\binom{50}{3}}[/tex]

The chances of five cards being drawn (three spades and two spades),

[tex]P(B \cap A)=\frac{\binom{13}{5}}{\binom{52}{5}}[/tex]

Then there is the chance that the next three cards will be picked if the first two are both pads, [tex]P(\frac{B}{A})[/tex]

[tex]\to P(\frac{B}{A}) \\\\ =\frac{P(B\cap A )}{P(A)}\\\\=\frac{\frac{\frac{13}{5}}{\frac{52}{2}}}{\frac{\frac{13}{2}}{\frac{52}{2}}}\\\\= 0.00842[/tex]


Related Questions

your friend borrowed 1050 from you to buy a new dirt bike. your friend pays you back the principal plus 7.25% interest per year for 3 years. what is the total amount your friend will owe you at the end of 3 years

Answers

Answer:

12.78375

Step-by-step explanation:

7.25% of 10.50 = 0.76125

0.76125 × 3 = 2.28375

10.50 + 2.28375 = 12.78375

So his friend will owe him 12.78375

In the triangle below..

Answers

Answer:

44

Step-by-step explanation:

Step 1: Create an equation to solve for ∠Z

Recall that trig ratio tangent = Opposite over Adjacent

Opposite of ∠Z = 75 and adjacent of ∠Z = 79

Hence, [tex]tan(z)=\frac{75}{79}[/tex]

We now solve for z

Step 1: Multiply each side by the inverse of tan ( tan ) ^-^1

[tex]tan(z)*tan^-^1=z\\tan^-^1(\frac{75}{79} )=43.51213147[/tex]

We're left with z = 43.51213147

Our last step is to round to the nearest degree,

We get that ∠Z = 44

The answer is 44 hope this helps

A) Do the following lengths form a right triangle? Prove it by SHOWING YOUR WORK. 0 6 8 9

Answers

Answer:

friend me on here and imma send you the link Step-by-step explanation:

Can someone answer this?

Answers

Answer:

Step-by-step explanation:

6x-1+3x+5x+3+4x+8+5x+5=360 degree(sum of exterior angle of a pentagon is 360 degree)

23x+15=360

23x=360-15

x=345/23

x=15

therefore the value of x is 15 degree.

Find m=FGP if m=FGP = x + 8, m=FGH = 100°, and
m=PGH =6x + 8
Please Please help, no links

Answers

6x+8=100
6x=92
X= 15.33 or x =15 1/3

Could someone answer for this for me?

Answers

Fresh Foods
Range: 2-4
Mode: 2
Median: 3
Mean: 3

Best Groceries
Range: 1-7
Mode: 1 and 5
Median: 3.5
Mean: 3.5

Range is the lowest and highest number. Mode is the number that repeats the most. Median is the number in the middle. Mean is adding all the numbers together and dividing it by the number of numbers.

PROBLEM 1. Veldora walked around the circular pool. The circular pool has a
diameter of 3 meters. What is the distance that Veldora has walked?
Step 1 – Read and understand
What is asked in the problem? ____________________________
What do you know of the problem?________________________
Step 2 – Plan
What must be done to solve the problem? _________________
Step 3 – Solve and answer ___________________________
Carry out the plan & write the final answer. _______________
Step 4 – Check
Is the answer correct? _______________________
PROBLEM 2. How much greater is the circumference of the circle with a diameter of
12m than another circle with a radius of 5m?
Step 1 – Read and understand
What is asked in the problem? ____________________________
What do you know of the problem?_______________________
Step 2 – Plan
What must be done to solve the problem?_________________
Step 3 – Solve and answer ________________________
Carry out the plan & write the final answer._______________
Step 4 – Check
Is the answer correct?_________

Answers

Answer:

9.42m

Step-by-step explanation:

I took this on a test. Was extremely difficult, but I remembered the answer after my 4th retake

A football field is a rectangle 80 meters wide and 110 meters long. Coach Trevor asks his players to run from one corner to the other corner by running diagonally across the field. What is the distance from one corner of the field to the other corner? Answer choices are rounded to the nearest meter.

Answers

Answer:

136

Hypothenus² = Opposite² + Adjacent²

H²= 110² + 80²

H²= 18500

H= √18500

H = 136m

Plz help me well mark brainliest if correct,.....???.

Answers

Answer:

B: 6

the heights between 45 and 55 are : 46, 49, 50, 50, 52,52

thats 6 students

Step-by-step explanation:

please mark brainliest

Let ​g(t)= t−16 t−4. a. Make two​ tables, one showing the values of g for t=15​.9, 15​.99, and 15.999 and one showing values of g for t=16​.1, 16​.01, and 16.001. b. Make a conjecture about the value of limt→16 t−16 t−4.

Answers

Answer:

[tex]\lim_{t \to \ 16} (t-16)(t-4) =0[/tex]

Step-by-step explanation:

g(t)= (t-16)(t-4)

(a) Then, we have,

t                       g(t)

15.9                 -1.19

15.99            -0.1199

15.999       -0.011999

Also, we have,

t                         g(t)

16.1                     1.21

16.01                 0.1201

16.001             0.012001

(b) We can see, from the above table that as 't' tends to 16 from the left hand side, the value of g(t)= (t-16)(t-4) is tending to 0 from the negative direction.

Similarly, from the second table, we can see that as 't' tends to 16 from the right hand side, the value of g(t)= (t-16)(t-4) is tending to 0 from the positive direction.

Thus, we can say that [tex]\lim_{t \to \ 16-} (t-16)(t-4)[/tex] & [tex]\lim_{t \to \ 16+} (t-16)(t-4)[/tex], i.e., the left hand limit and right hand limit of g(t)= (t-16)(t-4), at t=16, both exist and is both equal to 0.

Since both these limits exist and are equal, we can say, [tex]\lim_{t \to \ 16-} (t-16)(t-4) = \lim_{t \to \ 16+} (t-16)(t-4) = \lim_{t \to \ 16} (t-16)(t-4) = 0[/tex]

Which fraction is equivalent to 12/27? help

Answers

[tex]\begin{gathered}\dfrac{12}{27}=\dfrac{12:3}{27:3}=\dfrac{4}{9}\\\\\dfrac{12}{27}=\dfrac{12\cdot2}{27\cdot2}=\dfrac{24}{54}\\\\\dfrac{12}{27}=\dfrac{4}{9}=\dfrac{4\cdot2}{9\cdot2}=\dfrac{8}{18}\\\vdots\end{gathered}[/tex]

Hope This Helps You

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Fractions equivalent to [tex] \frac{12}{27} [/tex] are :-

1st Fraction :-

[tex] \frac{12 \div 3}{27 \div 3} \\ = \frac{4}{9} [/tex]

2nd Fraction :-

[tex] \frac{12 \times 2}{27 \times 2} \\ = \frac{24}{54} [/tex]

3rd Fraction :-

[tex] \frac{12 \times 3}{27 \times 3} \\ = \frac{36}{81} [/tex]

3 fractions equivalent to [tex] \frac{12}{27} [/tex] are [tex] \frac{4}{9} , \: \frac{24}{54} , \: \frac{36}{81} [/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Calculate the radius of the below. Show all work.

Area -0.25 ft

Answers

Answer:

r ≈ 0.28

Step-by-step explanation:

[tex]r=\sqrt{\frac{A}{\pi } }[/tex]

[tex]r=\sqrt{\frac{0.25}{\pi } }[/tex]

0.28209

≈ 0.28

PLEASEEEEEE PLEASEEEEEE HELPPPPPP IM BEGGING SOMEONE PLEASEEEEEEE I REALLY NEED HELPPPPPPPPPP​

Answers

Answer:

Step-by-step explanation:

4x-5+3x+5+40=180 degree(sum of interior angles of a triangle)

7x+40=180

7x=180-40

x=140/7

x=20

5(k+2)-3(k+2) combine to make simpiler

Answers

Answer:

2k + 4

Step-by-step explanation:

David,

Start by performing the indicated multiplication:

5(k+2)-3(k+2) becomes 5k + 10 - 3k - 6.

Next, combine like terms:  5k - 3k + 10 - 6 becomes 2k + 4

This 2k + 4 is the desired simpler result.

Can I get help with number 16.

Answers

All of these points have the same y coordinate so this is a horizontal line which has a slope of 0.

Solve 1/3(3.2×1.4)2.8

Simplify your answer​

Answers

4 68⁄375 is the purpose answer

Find the measurement of 1
What’s the answer and how do you do it

Answers

Answer:

68

Step-by-step explanation:

An advertising company charges $40 per half - page advertisement and $75 per full-page advertisement. Michael has a budget of $800 to purchase 13 advertisements. A) Define a variable for each unknown. Write a system of equations to represent the situation. B( How many half-page advertisements does Michael purchase? Show Your Work. C) How many full-page advertisements does Michael purchase? Show your Work. ( Will Mark Brainliest but have to show work) Answer A, B & C. No links or nonsense answers please.​

Answers

A) let h = number of half page ads and f = number of full page ads
40h + 75f = 800. Assuming budget is fully spent
h + f = 13

B) 75h + 75f = 975 (multiplying the second equation by 75)
35h = 175 (subtracting the first equation)
h = 5
Michael purchases 5 half page adverts

C) 5 + f = 13 (Substituting for h in second equation)
f = 8
Michael purchases 8 full page adverts

The number of half page advertisements that Michael purchased is 5 while the full page advertisements is 8.

Let the number of half page ads be represented by h

Let the number of full page ads be represented by f.

Therefore, the system of equations to represent the situation will be:

h + f = 13 ....... i

40h + 75f = 800 ........ ii

From equation i,

h = 13 - f ....... equation iii

Put the value of h into equation ii

40h + 75f = 800

40(13 - f) + 75f = 800

520 - 40f + 75f = 800

Collect like terms

75f - 40f = 800 - 520

35f = 280

f = 280/35

f = 8

The number of full-page advertisements that Michael purchased is 8.

Since h + f = 13

h + 8 = 13

h = 13 - 8

h = 5

The number of half page advertisements that Michael purchased is 5.

Read related link on:

https://brainly.com/question/24429956

Find the values of X and Y. Show your work.

Answers

Answer:

x = 6

y = 24

Step-by-step explanation:

Recall: length of corresponding sides of similar figures are proportional to each other.

Thus:

4/12 = x/18 = 8/y

Find x:

4/12 = x/18

1/3 = x/18

Cross multiply

3x = 18

3x/3 = 18/3

x = 6

Find y:

4/12 = 8/y

1/3 = 8/y

Cross multiply

y = 8*3

y = 24

The sum of the angles of a polygon is 2160. How many sides does the polygon have?

Answers

Answer:

14 sides

Step-by-step explanation:

Sum of the interior angles of a polygon is given by the formula (n-2)180°. So (n-2)180° = 2160°. So the polygon has 14 sides.

Easy variable question pls help

Answers

Answer:

z = -4 1/2

Step-by-step explanation:

1. First change the mixed fractions to improper fractions so it's easier

[tex]\frac{16}{5\\}/(z-\frac{1}{2}) = \frac{8}{3}/(z+\frac{1}{3})[/tex]

2. Simplify

[tex]\frac{32}{5(2z-1)} = \frac{8}{3z+1}[/tex]

3. Cross multiply

[tex]32(3z+1) = 5(2z-1) * 8[/tex]

4. Simplify again (distributive property)

[tex]32(3z+1) = 40(2z-1)[/tex]

5. Distributive property

[tex]32(3z+1) -> 96z+32[/tex]  

[tex]40(2z-1) -> 80z-40[/tex]

[tex]96z+32=80z-40[/tex]

6. Subtract 32 from both sides

[tex]96z+32-32 = 80z-40-32[/tex]

7. Simplify

[tex]96z = 80z-72[/tex]

8. Subtract 80 from both sides

[tex]96z-80z=80z-72-80z[/tex]

9. Simplify

[tex]16z=-72[/tex]

10. Divide both sides by 16

[tex]\frac{16z}{16}=\frac{-72}{16}[/tex]

11. Simplify

[tex]z=-\frac{9}{2} -> also = -4\frac{1}{2}[/tex]

Sorry if it was too long but hope this helps! :)

And also try using symbolab cuz it gives step by step explanations it's really good!

Help me pls !!!!! Rlly need it

Answers

Answer:

its ajwhwowhwkwuquwwyqkqhqoagwkw6shsossgsjiwhesishsisjsjsishwiwgaisujwwisu

Answer:



Solution: jajajajajajajjajajajaj

how to do this.If you dont understand my language use the english​

Answers

Nisbah sebara : nisbah yg mempunyai bentuk terendah yg sama

Pasangan nisbah yang berkadaran : nisbah yg mempunyai bentuk terendah yg sama

Estimate the difference of the decimals below by rounding to the nearest whole number.

23.827
- 1 .218​

Answers

Answer:

23

Step-by-step explanation:

The difference between the 23.827 - 1.218

23.827 - 1.218 = 22.609

By rounding to the nearest whole number it is 23.  

the equation s=2√5x can be used to estimate the speed ,s,of a car in milles per hour, given the length in feet ,x, of the tire marks it leaves on the ground .A card travelling 90 miles per hour came to a sudden stop according to the equation ,how long would the tire marks be for this car A 355 feet B 380 feet C 405 feet D 430 feet

Answers

Answer:

405 feet

Step-by-step explanation:

s = 2 * (√5) * 90

s = 2 * 201.246117975

s = 402.49223595

Closest estimate

405 feet

Answer:

Since The equation that depicts the motion of the Car is given.

The speed in terms of the tire marks...

s= 2√5x

where x is the tire marks(in feet.)

s is the speed(miles per hr)

We can't use the speed in Miles per hr when the tire mark is feet.

1mile = 5280ft

90miles x 5280ft/1mile = 475,200ft/hr

Making x the subject

x= s/2√5

x= 475/200/(2√5 )

=106,257ft

I still can't see what I'm missing or You sure you didn't forget to add something else to the question?

A semi-circle with a diameter of 6 cm sits on top of an isosceles trapezoid. Find the area of the entire figure.

Answers

Answer:

86.13 cm²

Step-by-step explanation:

the area of the entire fig =

(½×3.14×3²) + (½×(10+6)×9)

= (14.13)+(72) = 86.13

WILL GIVE BRAINLIST
MATH




CONVERT EACH MEASUREMENT

SHOW STEPS ALL


9 1/8 lbs to ounces

Answers

Answer:

146 Ounces.

Step-by-step explanation:

9.125 [tex](\frac{1}{8})[/tex] lbs to ounces.

Multiply the mass value by 16.

To Check Work:

Divide 146 by 16 which equals [tex]\frac{73}{8}[/tex]/ 9.125.

Divide 146 by 9.125 [tex](\frac{1}{8})[/tex] which equals 16.

Find the sum of the first four terms of the geometric series 5 + 50 + 500+....

Answers

The answer is 5 + 50 + 500+5000= 5555

for homework lawl
Evaluate each expression when x is 4 and y is 6.
(6-x)3 + y

Answers

Maybe I'm not sure 0
You just plug in 4 for x and then 6 for y. So it would be (6-4)3+6.

Then use the order of operations.

So (6-4)3+6=(10)3+6=30+6=36

So the answer is 36

PLEASE HELP! 20 POINTS!!

The tops of two tables in a furniture store are similar rectangles as shown below.


The length of the larger tabletop is 12 feet. What is its width, x?

Answers

Answer:

X = 8

Step-by-step explanation:

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