4. Susannah is drawing a card from a standard 52-card deck. A standard deck of cards

contains four suits -- diamond, club, spade & heart. Each suit has 13 cards. Face cards (12)

are Jack, Queen, and King cards.

a. What is the probability that the card she draws is a diamond?

b. What is the probability that the card she draws is a face card?

c. What is the probability that the card she draws is a face card and a diamond?

d. What is the probability that the card she draws is a face card or a diamond?

Answers

Answer 1

Answer:

1/4(25%), 3/13(23%), 3/52(6%), 11/26(42%)

Step-by-step explanation:

a. 4 suits, therefore the probability is 1/4

b. there are 12 face cards. therefore the probability is 12/52 which simplifies to 3/13

c. there are only 3 cards that are diamonds and face cards. Therefore, it is 3/52

d. there are 12 face cards and 13 cards of each suit. But there are 3 that overlap. therefore, there are 22 in total, so 22/52. it simplifies to 11/26.


Related Questions

What is the measure of angle 1? Put the number only.

Answers

Answer:

angle 1 = 120 degree

Step-by-step explanation:

75 degree + 45 degree = angle 1 (sum of two opposite interior angles is equal to the exterior angle formed)

120 degree = angle 1

Answer:

120

Step-by-step explanation:

75 + 45 = 120

The triangle adds up to 180.

180 - 120 = 60

Therefore the inside of the triangle is 75, 45, and now 60 which all adds up to 180.

--

Now to find Angle 1.

180 - 60 = 120

With Angle 1 being 120

write an equation of the line that has each pair of intercepts
x-intercept: 6 y-intercept: 3

Answers

Answer: y = 6x+3

Step-by-step explanation:

[tex]4,\pi ,8[/tex] how do i order from least to greatest

Answers

Answer:

[tex] \pi \: 4 \: 8[/tex]

Answer:

[tex]\pi, 4, 8[/tex]

Step-by-step explanation:

Note that [tex]\pi\approx3.14[/tex]. As [tex]3<3.14<4[/tex], [tex]\pi[/tex] comes before [tex]4[/tex].

Clearly [tex]4<8[/tex], so [tex]4[/tex] comes before [tex]8[/tex].

The only possible ordering is [tex]\boxed{\pi, 4, 8}[/tex]

Which of the following equations represents a line that passes through the points (-10, -9)(−10,−9) and (10,-1)(10,−1)?
I. y+1=-\frac{2}{5}(x-10)y+1=−
5
2

(x−10)
II. 2x-5y=252x−5y=25

Answers

Answer:

y = 2/5x - 5

Step-by-step explanation:

(-10,-9) and (10,-1)

Slope: (-1 - - 9) / ( 10 - - 10)

Slope = 8/20 = 2/5

b = -9 - (2/5(10)

b = -5

The equation of the line that passes through the point (−10,−9) and (10,-1) is; y = 2/5x - 5

What is the Point-slope form?

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Where x₁ - x coordinate, y₁ - y coordinate, m - slope

Slope: (-1 - - 9) / ( 10 - - 10)

m = Slope = 8/20 = 2/5

Now intercept;

b = -9 - (2/5(10)

b = -5

Now Write the equation as

y = 2/5x - 5

Hence, the equation of the line that passes through the point (−10,−9) and (10,-1) is; y = 2/5x - 5

Learn more about equations here;

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Solve for X
A) -6
C) 12
E) 9
B) 8
D) 3

Answers

Answer:

In my thinking the answer is 9.


Find three consecutive even integers whose sum is 120?

Answers

Answer:

40 40 40 is 120

38 40 42 is 120

Step-by-step explanation:

seventeen is less than twice the sum of a number and three

Answers

Answer:

no it would be more

Step-by-step explanation:

3+3=6 so not 17 at all

Answer:

x > 17/2 - 3

Step-by-step explanation:

17 < 2(x+3)

17/2 < x+3

17/2 - 3 < x

Please help fast!!!! I will give brainliest to the first answer!!!!

Answers

Answer:

the answer is c

Step-by-step explanation: i got the question right and got 100%

4/12 x 2/3 =___________=quien me diga le doy corona

Answers

Answer:

8/36= 2/9

Step-by-step explanation:

Answer:2/9

Step-by-step explanation:

Find the next 3 terms of the sequence below:

Answers

The next 3 terms are 17, 21, 25

Multiply the binomials: (y+2)•(y-6)

Answers

Answer:

(y+2)•(y-6)

Step-by-step explanation:

y(y-6)+2(y-6)

y^2-6y+2y-12

y^2-4y-12

plz help me i don’t understand

Answers

Answer:

A it wold be pushing 40 newton to the left

B opposite

C subtract

D i don know that one

E unbalanced

Step-by-step explanation:

Miguel is trying to decide what luggage to buy. He has a choice of brown or black, wheels or no wheels, and small, medium, or large.


What is the probability of Miguel buying a large black piece of luggage with wheels?


A) 1/16

B) 1/12

C) 1/6

D) 1/4

Answers

Answer:

1/12

Step-by-step explanation:

How do I solve this?​

Answers

Answer: 2l+2w=48

Subtract 2w from both sides.

2l=48−2w

Divide both sides by 2.

2

2l

=  

2

48−2w

 

Dividing by 2 undoes the multiplication by 2.

l=  

2

48−2w

Divide 48−2w by 2.

l=24−w

Answer:

14centimeters

Step-by-step explanation:

from our equation,

2l + 2w = 48

we know that the width = 10cm

so,

2l + 2( 10 ) = 48

2l + 20 = 48

2l = 48 - 20

2l = 28

divide through by 2

2l / 2 = 28 / 2

l = 14

therefore,

l = 14 centimeters

11.What is the slope of the line that passes through (-20, -4) and (-12, -10) ?
A. -3/4
B. 4/3
C. 3/4
D. -4/3

Answers

Plug the points into y2-y1/x2-x1

(-10) - (-4)/(-12) - (-20)

you will get A. -3/4

hope this helps !! :)

please answer!! will give a thanks and brainliest! :)))

Answers

8.

Since they have twice as many games won as lost there are 3 parts.

The losing part and the two winning parts.

The winning part is [tex]\frac{2}{3}[/tex] the games while the losing part is [tex]\frac{1}{3}[/tex] the games.

Just multiply [tex]\frac{2}{3}[/tex] by the games played to find the games won.

[tex]\frac{2}{3} (96)=\frac{192}{3} =64[/tex]

The ravens won 64 games.

10.

Make a system of equations.

Let s be the number of skips interviews and w be the number of woodys interviews.

s=w-8

s+w=20

Then just use algebra to rearrange and find each persons interviews.

For this one we can rearrange the second equation to get s=20-w.

Since we have two solutions for s we can set them equal.

w-8=20-w

2w-8=20

2w=28

w=14

Now that we have the number of woodys interviews substitute it into the first equation to get skips interviews.

s=w-8

s=14-8

s=6

So skip had 6 interviews and woody had 14 interviews.

12.

Make a system of equations

y-x=7

x+y=33

Then just use algebra to rearrange and find each amount of items.

Start by solving with substitution. (Elimination could work too im just going to use substitution.)

y-x=7

y=7+x

Substitute into the second equation

x+(7+x)=33

2x+7=33

2x=26

x=13

Now plug this x value back into the first equation

y-13=7

y=20

The number of items on one list is 13 and the number of items on the second list is 20.

NO LINKS!!!!!!!!!!!!

Answers

Answer:

this is the answer thanks mark me as brainlist

The diagonal of a rectangle is 25in. The width is 15 in. What is the area of the rectangle

Answers

Answer:

10

Step-by-step explanation:

please help asap!!! i really don't understand this. i would like an explanation on how you got the answer. NO LINKS PLEASE!!!!!!

Answers

Answer:

Step-by-step explanation:

One of the things you should keep in mind about parallel lines is that there are 8 angles in this configuration.

4 are equal to one value

and 4 other angles which are the supplements to the first four. If you know the value of one of the 8 angles, you know the value of the other seven.

So angles (8) 6 4 and 2 are all 82 degrees.

Angles 1 3 5 7 and all equal to 180 - 82 = 98

Number 8 is given as 82. It's the red number.

number 6 is vertically opposite number 8 so those two are equal

Number 6 is an alternate interior angle to 4. Those two are equal.

Number 2 is number 4s vertically opposite angle. The others are all done somewhat the same way.

PLEASE ANSWER I WILL GIVE A THANKS AND BRAINLIEST!!!<3

Answers

Answer: I HAVENT FINISHED THIS

Step-by-step explanation:

ILL BE BACK

Answer:

Step-by-step explanation:

Not sure if you're being lazy or something these questions are ridiculously easy...

27) f-3

28) j-9

29) m-10

30) d/2

31) x-17

32) 7/18

33) a. 3-s b. 3+d

34) a. r+5 b. e-5

35) a. g-12 b. b+12

36) a. 12+s b. L-12

You and 3 friends are going to the country fair. You have a coupon that will save your group $20. If the total bill to get into the fair was $100, how much does one regular price ticket to the fair cost?

Answers

Answer:

30$

Step-by-step explanation:

lets assume you didn't have a coupon then the total bill would have been 120$

so for 4 friends including u the bill would have been 120$

: 4 friends = 120 $

for : 1 friend = x$

cross multiply

4x = 120 × 1

4x =120

divide both sides by the coefficient of x

x =120 \ 4

x = 30$

therefore: 1 friend = 30$

is 16/6 a rational numer

Answers

Yea it is. I hope this helps and please mark me brainliest!

the face of a clock has a circumference of 62.8 in. What is the area of the face of the clock.

Answers

Answer:

3 943.84π

Step-by-step explanation:

tienes que usar la fórmula de: pi por radio al cuadrado

Answer:

[tex]314in^{2}[/tex]

Step-by-step explanation:

Circumference is [tex]2\pi r[/tex]

Find your radius

[tex]2\pi r=62.8\\\pi r=31.4\\[/tex]

Let [tex]\pi =3.14[/tex] for simplicity

r=[tex]\frac{31.4}{3.14}[/tex]=10

Now use the equation for the area of a circle to find the area of the clock face.

Area of a circle is [tex]\pi r^{2}[/tex]

Area of clock face is [tex]\pi (10^{2} )[/tex]

=[tex]100\pi[/tex]

=[tex]314in^{2}[/tex]

The population of Miami-Dade County in Florida in 2010 was 2, 496, 435 and the land area was 1, 898 square miles. The population increased by 7.9% in 2015. Part 1: To the nearest whole number, find the population density, in people per square mile, for Miami- Dade County in 2015

Answers

The population density of the city which is the ratio of population size and the land area is 1419 people per square mile.

The initial population = 2496435The percentage increase in population = 7.9%

Land Area = 1898 mi²

The population of the city on 2015 can be calculated thus :

(1 + percent increase) × initial population

(1 + 0.079) × 2496435 = 2693653.365 people

The population of a city is calculated using the relation :

Population density = Population / Land Area

Population density = 2693653.365/1898

Population density = 1419.21

Therefore, the population density is 1419 people per square mile.

Learn more: https://brainly.com/question/18796573

How do division properties help you evaluate expressions?

Drag a word or number to the box to correctly complete the statement.

When the of a fraction is equal to Response area and the numerator is nonzero, the value of the fraction is equal to the numerator of the fraction.

Answers

Answer: denominator and 1

Step-by-step explanation: took k12 test

PLEASE HELP ASAP IT'S REALLY IMPORTANT!!!

Answers

Answer:

why

Step-by-step explanation:

I thought something happened to you why did u never come back,why just ghost me of all people not only once but twice

20POINTS Given colon g (x) = StartRoot x minus 4 EndRoot and h (x) = 2 x minus 8. What is g(h(10))?

Answers

h(10) = 2(10) - 8
h(10) = 12
g(12) = root 12 - 4
q(12) = root 8
g(h(10)) = 2 root 2

The value of the function g(h(10)) will be 2√2.

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

Given that g(x) is √(x-4) and h(x) is 2x - 8. The value of the function g(h(10)) will be calculated as:-

h(x) = 2x - 8

At x = 10 the value of the function h(x) will be:-

h(10) = ( 2 x 10 ) - 8

h(10) = 20 - 8

h(10 ) = 12

Calculate the value of the function g(h(10)):-

g(h(10)) = √(x-4)

g(h(10)) = √(h(10)-4)

g(h(10)) = √( 12 -4 )

g(h(10)) = √( 8 )

g(h(10)) =  2√2.

Therefore, the value of the function g(h(10)) will be 2√2.

To know more about functions follow

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Find the difference between (4, -2) and (-2, 3) THE ANSWER IS 7.8 BUT PLEASE EXPLAIN HOW YOU GOT IT!

HELP ASAP (I'll mark brainliest if you answer within the next 5 mins!!)

Answers

Answer:

√61

Step-by-step explanation:

(4,-2) - (-2,3) = (6,-5)

6^2 + (-5)^2  = 61

square root both sides to get 7.8

HELP ME QUICK PLS BEFORE 11:59PM EST TIME

Answers

Answer:

what is the question

Step-by-step explanation:

heyy everyone
equivalent fraction of 3/6 with denominator 72 is
can i pls know the answer

Answers

3/6

Take a lot at the denominator 6, 6 multiplied by 12 gives 72, therefore multiply the numerator 3 by 12 to give 36.

3/6= 36/72

please mark Brainliest.

Answer:

What is 31/72

Step-by-step explanation:

3/6 is really 1/2 as 3 is half of 6

So half of 72 would be 31

Hope this helps you see it in a much more simpler way!

<3Miss Hawaii

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