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


If you borrow $2,000 at 5 percent simple interest, how much will you owe
after one year?
O A. You will owe the principal of $2,000 only.
O B. You will owe the principal of $2,000 minus 5 percent of the
principal
O c. You will owe the principal of $2,000 plus 5 percent of the principal.

Answers

Answer:

it is c I think that it is c good luck

Identify which line the error is in (1 point)
• Describe the error that was made (1 point)
State what the correct answer should be

Answers

Answer:

Step-by-step explanation:

calculate the area please help

Answers

Answer:

99 cm²

Step-by-step explanation:

To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2

(11 * 18) : 2 =

198 : 2 =

99 cm²

A part-time handyman made $8798.04 last year. If he claimed himself as an
exemption for $3650 and had a $5700 standard deduction, what was his
taxable income last year?

Answers

Answer: HIs income was  $6744.04

Step-by-step explanation: 8798.04 + 3650 - 5700 = 6744.04 Hope this helps!

The taxable income last year is $552.

What is Compound Interest?

The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It from simdiffers ple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest.

We have,

Last year, a part-time housekeeper earned $8798.

He claimed he was exempt, costing $365.

$570.00 is the standard deduction.

Gross income less the standard deduction and all exemptions equals taxable income.

= 8798 - 3650 - 5700

= $-552

The negative sign indicates that he owes no taxes.

learn more about compound interest here:

brainly.com/question/28020457

#SPJ7

Simplify.
4x + 2(x + 5) + 1
A) 6x + 6
B) 4x + 8
C) 6x + 11
D) 5x + 8

Answers

Answer:

C is your answer for your question

What are the coordinates of A? someone help ​

Answers

Answer:

(7,10)

Step-by-step explanation:

The x coordinate is the first coordinate, it is how far you go across

X = 7

The next coordinate is the y coordinate, it is how for you go up or down

y = 10

(7,10)

Help help help help math

Answers

Answer:

<6 = 158°

Step-by-step explanation:

we know a = 6

22 + a = 180

a = 180 - 22

a = 158

For lunch, I ate a toasted cheese sandwich and it has 450 calories and 16g protein with some baked potato fries and it has 230 calories and 3g protein. How much protein and calories did I eat in all?

Answers

Answer:

Give the person above me brainliest

Step-by-step explanation:

Use the slope formula to determine the slope of the line containing the two points (4,-8) and (-1,-2)

Answers

the slope is 6/-5

subtracting the y values gives you -2-(-8)=6

subtracting the x values gives you -1-4= -5

Given:-

Two points (4,-8) and (-1,-2) .

To find :-

The slope of the line through these points .

Solution :-

As we know that the slope is ,

[tex]\longrightarrow\sf Slope = y_2-y_1/x_2-x_1[/tex]

Substitute the values ,

[tex]\longrightarrow[/tex] Slope = -8 -(-2) / 4 -(-1)

[tex]\longrightarrow[/tex] Slope = -8 +2/4 + 1

[tex]\longrightarrow[/tex] Slope = 6/5

Hence the slope of the line is 6/5 .

What is 196.7 16 in simplest form?

Answers

70/196 is 5/14
GCD OF 70 and 196 is 14
70 divided by 14
196 divided by 14
Reduced fraction: 5/14

It’s number 5 what is the domain and range plz help urgent

Answers

Answer:

Domain: -2,-1,0,3 Range: -2,-1,0,3

Step-by-step explanation:

The x values (horizontal) is the domain and the dots on the x values are -2,-1,0,3. The y values is the range and the dots on the y values are -2,-1,0,3. Hope this helps :)

Write an equation in POINT-SLOPE for a line parallel to y=-2/3x+1 and goes through (5,-2)

Answers

Answer: y-(-2)=-2/3(x-5)

Step-by-step explanation:y-y1=m(x-x1)

Plug-in

If the Ending Inventory increases and everything else remains the same, what happens to the Food Cost? ​

Answers

An increase in the ending inventory will cause the cost of food sold at the end of the year to appear lower that it really is.

The cost of goods ( example, food) is directly affected by the amount of inventory at the end of an account period.

If the ending Inventory increases and everything else remains the same, the cost of goods sold is calculated as follows;

cost of food sold = Benning inventory  +  purchases  - ending inventory

From the equation above, an increase in the ending inventory will cause the cost of food sold at the end of the year to appear lower that it really is.

Learn more about ending inventory here: https://brainly.com/question/24868116

Which of the following is a correct interpretation of the expression 3+(-7)
Thanks

Answers

[tex]\huge\underline\mathtt\colorbox{cyan}{3-7}[/tex]

Step-by-step explanation:

The correct interpretation of 3+(-7) is 3-7, simply

Answer:

The answer will be

3+(-7)

The sum of positive and negative is negative

So 3+(-7) is 3-7

= -4

Step-by-step explanation:

Hope it helps

Please Mark as brainliest

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мкфуерцнокеупауйвЫЫМ ВНОРЕФУфцвыА ЕЬГАЕ7ГАТАСО ПНМСВЧСЧМ

Answers

Answer:

Step-by-step explanation:

I dont know

Write the missing numbers to find 154÷11

Answers

Answer:

14

Step-by-step explanation:

154/11 = 14

(✿◡‿◡) HAPPY HOLIDAYS!!! <3

YOU’RE GETTING A BRAINLIST IF YOU ANSWER THESE:

If you and I meet halfway between the fountain and the restrooms what are the coordinates of our meeting place?

If my cat and your dog meet halfway between the ball field and the swings what are the coordinates of their meeting place?

Now to the nearest yard how far are you and I to our pets after arriving to our meeting place?

Answers

Answer:

Step-by-step explanation:

Question 1

Answer:   (1, -0.5)

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

Explanation:

The x coordinates of the points for the restrooms and fountain are -2 and 4 in that order. Add up those values and divide by 2

(-2+4)/2 = 2/2 = 1

The midpoint of -2 and 4 on the number line is the value 1. So if the restrooms and fountain were on the x axis and at -2 and 4 respectively, then the midway point is 1 on that same number line. Note: The value 1 is exactly 3 units away from -2 and 4.

We'll use this idea for the y coordinates as well. Add them up, then divide by 2.

Add: 4+(-5) = -1

Divide by two:  -1/2 = -0.5

The y coordinate of the midpoint is -0.5

Overall, the midpoint between the restrooms and fountain is the point (1, -0.5)

For more info, check out the midpoint formula.

====================================================

Question 2

Answer:  (0, 0.5)

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

Explanation:

We'll use the same idea as before. This time we focus on the locations of the swings and ball field only.

Add the x coordinates for each point: -5+5 = 0

Divide in half: 0/2 = 0

The x coordinate of the midpoint is 0

Repeat for the y coordinates.

Add: 5+(-4) = 1

Cut in half: 1/2 = 0.5

The y coordinate of the midpoint is 0.5

We get the midpoint (0, 0.5) which is where the two pets meet.

====================================================

Question 3

Answer: Approximately 1 yard

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

Explanation:

Apply the distance formula for the results of the previous two questions.

So we'll apply the midpoint formula for the points (1, -0.5) and (0, 0.5)

[tex]d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(1-0)^2+(-0.5-0.5)^2}\\\\d = \sqrt{(1)^2+(-1)^2}\\\\d = \sqrt{1+1}\\\\d = \sqrt{2}\\\\d \approx 1.414\\\\d \approx 1\\\\[/tex]

which cost the most per ounce 60 ounces of peanutt butter for 5.40,28 ounces for 2.24 or 16 ounces for 1.1.76

Answers

Answer:

The 16 ounces at 1.76.

Step-by-step explanation:

Divide total cost by the quantity to get cost per unit.

Ounces Cost Cost/Ounce

60      5.40          0.09  

28      2.24          0.08  

16       1.76           0.11  

If a < b then ka < kb

Answers

What? That dose not make any sense

A linear function that represents the number of video games purchased at an electronics store is compared to a different linear function that represents the amount of money the store made that day. Describe the key features of the functions that are needed to determine if these lines intersect.

Answers

Answer:

See there y-intersept and if slope is negative or positive to see if they intersect

Need help please and thank you.​

Answers

Answer:

[tex]log_4(\frac{1}{64})=-3[/tex]

Step-by-step explanation:

[tex]log_b(b^x)=x[/tex]

Let b = base and x = the exponent

    Looking at the equation given, we know the base (the number with the exponent) is 4, the exponent itself is -3, and the value is 1/64. Based on this information, fill in the formula and simplify any values.

[tex]log_4(4^{-3})=-3\\log_4(\frac{1}{64})=-3[/tex]

Therefore, the logarithmic form is [tex]log_4(\frac{1}{64})=-3[/tex].

George is going to sing 4 songs in
the school program. In how many
different orders can George sing
each song once?

Answers

Answer:

4! or 24

Step-by-step explanation:

4! is 4*3*2*1 which equals 24.

Every single time that he sings a song, he has one less option to pick from.

Hope this helped! :)

Answer:

Greg can sing in 16 different ways to each song once.

Step-by-step explanation:

Admission to the zoo costs $15 per person. Which graph correctly represents the total cost for a group to visit the zoo? Total Cost of Admission to the Zoo On a coordinate plane, the x-axis is labeled visitors and the y-axis is labeled Dollars. Points are at (1, 15), (2, 30), (3, 45), (4, 60), (5, 75), (6, 90), and (7, 105). Total Cost of Admission to the Zoo On a coordinate plane, the x-axis is labeled visitors and the y-axis is labeled Dollars. Points are at (1, 15), (2, 15), (3, 15), (4, 15), (5, 15), (6, 15), and (7, 15). Total Cost of Admission to the Zoo On a coordinate plane, the x-axis is labeled visitors and the y-axis is labeled Dollars. Points are at (1, 15), (2, 16), (3, 17), (4, 18), (5, 19), (6, 20), and (7, 21). Total Cost of Admission to the Zoo On a coordinate plane, the x-axis is labeled visitors and the y-axis is labeled Dollars. Points are at (1, 15), (1, 30), (1, 45), (1, 60), (1, 75), (1, 90), (1, 105).

Answers

Admission to the zoo costs $15 per person.

The graph y = 15x correctly represents the total cost for a group to visit the zoo.

Given;

Admission to the zoo costs per person = $15

Let:

The total number of people visiting the zoo = x

The total cost for a group to visit the zoo = y

So,  y ∝ x

y = 15x

Therefore, the graph y = 15x correctly represents the total cost for a group to visit the zoo.

Answer:

A

Step-by-step explanation:

Which statements are correct interpretations of this graph?

Select each correct answer.


a.4 boxes are filled every 3 min.

b.3 boxes are filled every 4 min.

c.1.3 boxes are filled per minute.

d.0.75 boxes are filled per minute.

Answers

It’s b. 3 boxes are filled every 4 mins


If your gross monthly income is $2,500. What is your net monthly income after the government deducts the following percentages for taxes: Federal 25%, Indiana 3.4%, Social Security
6.1%, Medicare 1.4% and Local tax 1%.

Answers

Answer:

$1,577.50

Step-by-step explanation:

25+3.4+6.1+1.4+1= 36.9%

2,500*0.369 = 922.5

2500-922.5= 1577.5

There are flags planted along a forest. There
are blue flags planted every 10 miles and there
are purple flags planted every 20 miles. If the
forest is 300 miles long, how many times will
there be a blue and purple flag in the same
spot?

Answers

Answer:

15 times there will be a blue and purple flag in the same spot

Step-by-step explanation:

300 miles / 10 miles = 30 blue flags in total

300 miles / 20 miles = 15 purple flags in total

There will be at least one blue flag for every purple flag. Since there is 15 purple flags in total, there will be 15 times this can occur.

I have attatched a demonstration of my thoughts to this post.

Sabriana hiked along a trail that was 9.66 miles long she hated 4.2 miles every hour how many hours did it take Sabriana to finish hiking the trail

Answers

Answer:

3 hours

Step-by-step explanation:

Graph the solution to this inequality on the number line. 1/3x−3<−1 5/6

Answers

Answer:

x < 3 1/2

Step-by-step explanation:

first solve the inequality for x

1/3 x - 3 < -1 5/6

add 3 to both sides

1/3x < 1 1/6

multiply both sides by 3

x < 3 1/2

then just graph x < 3 1/2 on a number line

Answer: Open arrow pointing left on 3.5

Step-by-step explanation: Got correct answer from test review

Which of the following fractions can be represented by a terminating decimal?
OA) 8/9
OB)13/8
OC)4/3
OD)6/11

Answers

Answer:

B) 13/8

Step-by-step explanation:

First we need to understand what a terminating decimal is: It is a decimal that has a finite number of decimal values that are not zero, meaning that its decimal values end at some point

Let's go through our possible answers with trial and error:

A) 8/9

8/9 = 0.888888888888...9 (Incorrect)

B) 13/8

13/8 = 1.625 (Correct)

C) 4/3

4/3 = 1.3333333333...4 (Incorrect)

D) 6/11

6/11 = 0.545454545454...54 (Incorrect

13/8 is our answer because in decimal form it is a terminating decimal.

PLEASE HELP IF YOU ANSWER BOTH I WILL GIVE
1. BRAINLIEST
2. 5 STARS
3. HEARTS

Answers

Answer:

both of your answers are b

Step-by-step explanation:

20. difference means subtract

21. assosiative property has to deal with three numbers while communitive is 2 numbers

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