Two cards are drawn from a well-shuffled deck of 52 playing cards. Let X denote the number of aces drawn. Find P(X = 1).

Answers

Answer 1

Answer:

0.14479638

Step-by-step explanation:

Because 2 cards out of 52 are drawn without replacement, hypergeometric probability distribution should be used. Hence,

Combination of drawing 1 ace of 4 total aces C(4,1)

Combination of drawing 1 non-ace of 48 total non aces C(48,1)

Combination of drawing 2 cards of total 52 cards C(52.2)

C(4,1) = 4, C(48,1) = 48, C(52,2) = 1326

4*48/1326 = 0.14479638


Related Questions

What is the answer to this 1/3(n+1)=1/6(3n-5)

Answers

Answer:

n=7

distribute 1/3 by 1/3 and 1 then distribute 1/6 to 3n and 5 combine like terms for both sides simplifying to -n=(-7) divide - by n and -7 getting you n=7.

What is 12,925 to the nearest ten thousand

Answers

Answer:

To round to the nearest 10,000, you look at the number immediately to the right. If this number is 5 or above, you add 1 to the column in question and zero all numbers to the right. If the number immediately to the right is 4 or less, you just zero all numbers to the right.

In this case, the 10,000 column is the column with the 1. The number immediately to the right is 2. This is 4 or less, so we set all numbers to the right of the 10,000 column to zero.

I get 10,000

Step-by-step explanation:

10,000
Hope this helps!

A tree that stands 75 feet tall, casts a
shadow of 30 feet at 11:00 am. What is
the ratio of the length of the shadow to the
height of the tree?

Answers

Answer:

30 to 75, 30/75, 30:75

Step-by-step explanation:

2+2 (I have been struggling on this for a long time)

Answers

You might need a maths degree for this one, I believe it’s 4 but don’t quote me on that.
It’s is 4 2+2=4 ez your welcome

find measure of angle A

Answers

Ok done. Thank to me :>

Which represents the RANGE of the following relation? {(-6, 5), (-4, 3), (-1, 0), (4, 3)}

Answers

Answer:

5, 3, 0, 3 are all the ranges! Hope this helps

Step-by-step explanation:

Ranges are on the right, domains are on the left

Can someone solve this question ~
[tex] - 6 \: log_{3}(x - 2) = - 24[/tex]
[tex]ɴᵉᵉᵈ \: ɢᵉⁿᵘⁱⁿᵉ \: ᴀⁿˢʷᵉʳ[/tex]

Answers

[tex]\huge \sf༆ Answer ༄[/tex]

The value of x is ~

[tex] \sf \: 83[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's solve ~

[tex] \sf \: - 6 log_{3}(x - 2) = - 24[/tex]

[tex] \sf \: log_{3}(x - 2) = \dfrac{ - 24}{ - 6} [/tex]

[tex] \sf \: log_{3}(x - 2) = 4[/tex]

[tex]x - 2 = {(3)}^{4} [/tex]

[tex]x - 2= 81[/tex]

[tex]x = 81 + 2[/tex]

[tex]x = 83[/tex]

You're welcome spammy ~

The value of x from the given expression is 5

Laws of logarithm

Given the logarithm expression

[tex]-6log_3(x-2)=-24[/tex]

According to the law of logarithm, if [tex]log_ab=c, \ hence \ b= a^c[/tex]

Applying this law to the given question, we can see that:

[tex](x-2)^{-6}=3^{-24}\\(x-2)^6=3^{24}\\(x-2)^6=3^6\\[/tex]

Cancel out the exponents to have:

x - 2  = 3

x = 2 + 3

x = 5

Hence the value of x is 5

Learn more on logarithm here; https://brainly.com/question/25710806

What’s is 43-14 as a percent

Answers

29 percent is your answer

Please help with Exponential Problem !!!

Answers

Answer:

D) f(3) = 54

Step-by-step explanation:

f(3) = 2 x 3^3

f(3) = 2 x 27

f(3) = 54

Hope this helps! Pls give brainliest!

Answer:

D

Step-by-step explanation:

first you need to do the exponent and you substitute the 3 in for ex

so 3^3=27

then you multiply it by 2 to get 54

find the missing side of each triangle

Answers

Answer:

where is the triangle

Step-by-step explanation:

I don't no where is the triangle


A clerk is decreasing the price of an item by 15% The original price of an item is ($550
What will the new price be?

Answers

The new price would be: 3666$! I hope I helped have a good day!

Can someone help me I will mark u brilliant

Answers

Answer: its 45% for sure

Answer:

i believe 45%

Step-by-step explanation:

hope this helps! :D

have a miraculous day, and brainliest is immensely appreciated!! <3

Let X be the number of packages being mailed by a randomly selected customer at a certain shipping facility. Suppose the distribution of X is as follows:

x 1 2 3 4
p(x) 0.4 0.3 0.2 0.1

Answers

The required linear equation representing the distribution is

p(x) = -0.1x + 0.5

From the table given, we can generate the equation for the distribution.

Expressing as a coordinate form (x, p(x)). We can use the coordinate points (1, 0.4) and (2, 0.3)

The linear expression will be in the form p(x) = mx + b

m is the rate of change:b is the intercept

Gete the rate of change:

m = 0.3-0.4/2-1

m = -0.1/1

m = -0.1

Get the intercept.

0.4 = -0.1(1) + b

0.4  = -0.1  + b

b = 0.4 + 0.1

b = 0.5

Hence the required linear equation representing the distribution is

p(x) = -0.1x + 0.5

Learn more on linear equation here: https://brainly.com/question/18176080

If 90° < θ < 180° and cscθ = 3, then cotθ = _____.

Answers

[tex]\text{Given that,}\\\\\csc \theta = 3\\\\\implies \csc^2 \theta = 9\\\\\implies 1+ \cot^2 \theta = 9\\\\\implies \cot^2 \theta = 8\\\\\implies \cot \theta = \pm \sqrt 8 = \pm 2\sqrt 2\\\\\text{Since,}~90^{\circ}< \theta < 180^{\circ},\\\\\cot \theta = -2\sqrt 2[/tex]

a
1. Baby Amelia's parents measure her height every
month. She was born 46 cm long and grows on
average 2.5 cm per month. Write a linear equation to
find Baby Amelia's height, y, after x number of
months. (3 pts)
Slope:
y-intercept:
(1 pt)
Equation:
(1 pt)
After how many months will Amelia be 66 cm? Show
your work:
After
months. (1 pt)

Answers

Answer: equation: y = 2.5x + 46

slope: 2.5

y intercept: 46

she will be 8 months old by the time she is 66 cm

Step-by-step explanation: the eqation is written in y= mx+b format, where m is the slope and b is the y intercept. You can solve the last part of the problem by using this equation and subbing 66 in for y.

y = 2.5x + 46

66 = 2.5x + 46

20 = 2.5x

8 = x

what is 2/5=_=_ what is the 2 equivalent fractions

Answers

Answer:

4/10 and 16/40

Step-by-step explanation:

2/5 = 0.4(ZERO POINT FOUR NOT 0.04 ZERO POINT ZERO FOUR)

(numerator =2 x 2=4 ,denominator= 5 x 2= 10) this is how i got 4/10 (choose any number between 10 and 2 and multiply it by the denominator and numerator)

As well as 4/10  = 0.4

Also 16/40= 0.4

(Using our original fraction 2/5 we can multiply both the numerator and denominator by 8; numerator= 2 x 8 = 16  and denominator= 5 x 8 = 40

Since 4/10 and 16/40 are both equivalent to 0.4, they are equivalent fractions

(TO FIND THE DECIMAL OF THAT FRACTION DIVIDE THE NUMERATOR BY DENOMINATOR)

hope this helps, ;]

Using the number lines shown, what is the equivalent fraction to 3/3

Answers

Answer:

3/3 is a whole so I believe it would be the whole number line

Any fraction that has the same number as the numerator and denominator (examples would be 7/7 4/4 10/10 etc)

To increase the volume of a sphere, you
must in crease the radius

decrease the radius

None of the answer choices is correct

decrease the circumference

Answers

Must increase the radius r, as volume of a sphere depends on the radius.

The volume of a sphere is directly proportional to the radius cube thus with an increase in the radius it will increase so option (A) is correct.

What is the sphere?

A sphere is a 3D geometrical object which has a radius and becomes a point that revolves around a fixed point called the center.

For example, if you have a sphere of radius r then its surface area will be 4πr² and

The volume of a sphere with radius r is given as (4/3)πr³.

V ∝ r³

By increasing the radius r the volume V will rapidly increase.

Hence "Because the volume of a sphere is precisely proportional to the cube of its radius, it will grow as the radius grows".

For more about a sphere,

https://brainly.com/question/9994313

#SPJ2

Which of the following sets of ordered pairs represents a function?
A (510), (0.15). (
510)
(3.5) (3,9). (4.2)
22302 79717263393-
D
(0.6) (12.10). (O.-6)

Answers

Answer: your answer is A) & D)

Step-by-step explanation:     Hope this helps :)

Answer:

A) (-5,10), (0,15), (5,10)

Step-by-step explanation:

In order for an ordered pair to be a function, no pair of coordinates can have the same x variable.


Francis owns a cake shop. She is currently preparing cupcakes (x) and cookies (y) for two birthday
parties. The first birthday party ordered 20 cupcakes and 40 cookies and their total cost was $61. The second birthday party ordered 30 cupcakes and 30 cookies. Their total cost was $64.50.

Answers

The cost of cupcakes is $1.25 and cookies costs $0.90.

Two equations that would be used to determine the required values can be derived from this question:

20x + 40y = 61 equation 1

30x + 30y = 64.50 equation 2

In order to determine the value of y, the following steps would be taken: Multiply equation 1 by 3 and equation 2 by 2.

60x + 120y = 183 equation 3

60x + 60y = 129 equation 4

Subtract equation 4 from 3

60y = 54

Divide both sides of the equation by 60

y = $0.90

Substitute for y in equation 1

20x + 40(0.9) = 61

20x + 36 = 61

20x = 61 - 36

20x = 25

x = 25 / 20

x = $1.25

To learn more about simultaneous equations, please check: : https://brainly.com/question/25739929

Tomatoes that regularly sell for $0.55 per pound are on sale for 20% off the regular price. What is the sale price?

Answers

0.55*(1-0.2)=0.44 so it is 0.44

PLEASE HURRY! WILL MARK BRAINLIEST IF CORRECT (Screenshot)

Answers

Answer: 7 1/5

Explanation: I used a fancy calculator

Joel wants to buy a new tablet computer from a store having a 20% off sale on all tablets. The tablet he wants has an original cost of $190. He also wants to make sure he has enough money to pay the 5% sales tax. How much will Joel pay for the tablet?

Answers

Answer:

161.5 $

Step-by-step explanation:

the cost of table after the discount = 100% - 20% = 80%

the cost of table after the discount = Original cost × 80%

=(190)(0.8)

=152 $

the cost of table after the discount plus the tax = (the cost of table after the discount) + (Original cost × 5%)

=152+(190)(0.05)

=152+9.5

=161.5 $

So... The total amount will Joel pay for the tablet = 161.5 $

He will pay $166.95

You take the original asking price ($190) you find 20% of 190 which is 38. Then you subtract 38 from 190 you get 152. Next you do 5% of 152 and you get 7.95. Finally you add 7.95 to 152 and you get 166.95.

316=5
459=6
248=4
739=?

Answers

Answe

i think it's 9

Step-by-step explanation:

316 fỉst number is 3 +2 =5

459 first number is 4+2=6

2+2=4

7+2=9:)))

Select the equation of the quadratic function that models the relationship between time and height for an object thrown into the air, as presented in the parabola above.
Question 5 options:

A) ƒ(x) = –(x + 2)2 + 7
B) ƒ(x) = –(x – 2)2 + 7
C) ƒ(x) = (x – 2)2 + 7
D) ƒ(x) = (x + 2)2 + 7

Answers

Answer:

B

Step-by-step explanation:

lmk if you want an explanation

PLS HELP ITS A MAJOR GRADE AND DUE TOMORROW

A rental car company charges $55 plus $0.50 per mile to rent a car. Mt. Judd does not want to spend more than
%150 for his rental car. Write and solve an inequality to find how many miles he can drive and not spend more
than $150. Interpret/explain the solution.
Incorrect work/Solution
Identify and Explain Error
m = miles
0.5m < 150
0.5 0.5
m< 30
Mr. Judd can drive at least 50 miles.
Correct Work/ Solution
Share Strategy

Answers

Answer:

*See below*

Step-by-step explanation:

Identify and Explain Error

The method shown is using fractions to compare costs. This strategy does not work due to the fact that they have not factored in the $55 he pays for the car before hand. Also, 150 divided by 0.5 does not equal 30, it equals 300 so, even if he did not pay $55 beforehand, the equation is still incorrect.

Correct Work/Solution

$55 to rent

$0.50 per mile

Let's start by removing $55 from $150 to see how many dollars is left over for gas.

150 - 55 = 95

Then, divide 95 by 0.5

95 ÷ 0.5 = 190

He can drive at least 190 miles.

Share Strategy

Since he starts off paying $55 dollars out of $150, we need to subtract $55 by $150 to see how much cash he has left over for mileage. $150 minus $55 equals $95 so, he has $95 left over for mileage. $95 will then be divided by $0.50 to find out how many miles he can drive. We are dividing by $0.50 because that's the cost per mile. $95 divided by $0.50 equals 190 so he can drive at least 190 miles.

Note:

Hope this helps :)

Have a great day!

please help ill mark brainliest​

Answers

The value of the missing length is 20

Let the missing length be x

From Parallel lines and transversal theorem, we have that

If three or more parallel lines intersect two transversals, then they cut off the transversals proportionally.

Then, we can write that

[tex]\frac{x}{15} =\frac{16}{12}[/tex]

∴ [tex]x = \frac{15\times 16}{12}[/tex]

x = 20

Hence, the value of the missing length is 20

Learn more here: https://brainly.com/question/24258397

Evaluate the function when x = -1,0, and 4.
9. g(x) = 3 -
X
g(-1) =
g(0) =
+
g(4) =



Plz help me I need the answer

Answers

Step-by-step explanation:

what is the problem ?

as indicated you only need to use the corresponding value as "x" in the formula and then just calculate the result.

g(-1) = 3 - 1/3 × -1 = 3 + 1/3 = 3 1/3 or 10/3 or 3.333...

g(0) = 3 - 1/3 × 0 = 3

g(4) = 3 - 1/3 × 4 = 3 - 4/3 = 9/3 - 4/3 = 5/3 or 1 2/3 or 1.66666...

Answer:

g(-1) = 3/2

g(0) = 3

g(4) = 1

1. Write
500 + 40 + 7 +
6 x (1/10) +
8 X (1/100) +
3 x (1/1000)
in standard form.

Answers

The answers
1) 547
2) 0.6
3) 0.08
4) 0.003

Eva and Jamir like to bake cookies. Eva baked 24 chocolate chip cookies, and Jamir baked ppp peanut butter cookies. Together they baked a total of 56 cookies.

Answers

Jamir baked 32 peanut butter cookies
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