What is the probability of choosing a pair that contains ONLY cards labeled with the letters B, C, or F?

Answers

Answer 1

Answer:

[tex]Pr = \frac{1}{6}[/tex]

Step-by-step explanation:

Given

[tex]Cards = \{A,B,C,D,E,F\}[/tex]

[tex]r = 2[/tex] --- selection

Required

Probability of choosing a pair with only B, C and F

The total selection is: 36

This is calculated as thus:

[tex]First = 6[/tex] --- First selection can be any of the 6 cards

[tex]Second = 6[/tex] --- Second selection can be any of the 6 cards [No restriction]

So, we have:

[tex]n = First * Second[/tex]

[tex]n = 6 * 6[/tex]

[tex]n = 36[/tex]

The pair of only B, C or F is:

[tex]Pair = \{(B,C), (B,F), (C,B),(C,F),(F,B),(F,C)\}[/tex]

[tex]n(Pair) = 6[/tex]

So, the probability is:

[tex]Pr = \frac{n(Pair)}{n}[/tex]

[tex]Pr = \frac{6}{36}[/tex]

Simplify

[tex]Pr = \frac{1}{6}[/tex]


Related Questions

Can I get some help with this please.
The table models how the population of a city has changed over time. What does the y-intercept represent?

Answers

Answer:

The y-intercept represent:

122,000 (1985) represents the starting population from when they began calculating the data.

Step-by-step explanation:

Please helppppppppppp​

Answers

I think it’s 9 lol



hope this helped

NOTE: Angles not necessarily drawn to scale.

Answers

Answer:

x = 56°

Step-by-step explanation:

DAF is a straight line so it has a measurement of 180°

180° - 64° - 60° = x

x = 56°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

A specific laptop loses half of its value every six months. If the original cost was $1, 100 and the value of the laptop is now $68.75, how many years have you owned the laptop​​

Answers

Answer:

2 years! :)

Step-by-step explanation:

PLS HELP ASAP BRAINLIEST!!!

Suppose that the distance a car travels varies directly with the amount of gasoline it uses. A certain car uses 5 gallons of gasoline to travel 130 miles. If the car travels 442 miles, how much gasoline does it need?

Answers

Answer:

17 gallons

Step-by-step explanation:

HELP ASAP!! Click the picture to make it bigger
:)
thanks

Answers

Answer:

the answer is C.

Step-by-step explanation:

Carry a book bag: Female is 57

7) what is the approximate value of x? (Hint: there are two right angle triangles here, round to the nearest tenth)

Answers

Answer:

x= 8.2

Step-by-step explanation:

first we need to find the hypotenuse of the smaller triangle

3² + 4² = C

9 + 16 = 25

√25 = 5

now that we found the hypotenuse of the smaller triangle then we now find the hypotenuse of the larger one (x)

6.5² + 5² = C

42.25 + 25 = 67.25

√67.25 = 8.2

Angle BAC is a right angle. Find the measure of angle CAD.

Answers

Answer:

64+angle CAD=90 degree(being right angle)

angle CAD=90-64

angle CAD=26

Step-by-step explanation:

What is the diameter of the wheel

Answers

Answer:

1.2 ft

Step-by-step explanation:

2*0.6 ft=1.2 ft

I will give brainlest please help

Answers

Answer:

The center of the circle would be (5,-8)

This is because you inverse the sign within the equation for the x/y coordinate part of it. Therefore, for this question:

(x-5)^2+(y+8)^2 = 121

The center would be (5,-8), since there is (x-5) and (y+8).

The radius of the circle would be 11

This is because within the equation for the circle, the finishing number is the radius squared. This means that if you square root this finishing number, you would get the radius. So with this question:

(x-5)^2+(y+8)^2 = 121

By doing √121, you would get 11 as the radius.

Which graphs are functions ( select all that apply ​

Answers

Answer:

The second and third option are both functions!!

Glad to help!!

Step-by-step explanation:

2 and 3 are the answer

At a store, 7 out of the first 10 people who entered were
carrying a purse. Based on this information, if 250
people enter that store in one day, how many people
could be expected to be carrying a purse?

Answers

175/250 or %70

Hope this answers your question!

Answer:

175 people would be expected to be carrying a purse.

Step-by-step explanation:

7/10 people who entered were carrying a purse and if you say 250 people entered the store in one day the number of people would now be 250 instead of 10.

Since I made it into a fraction form you would need to find a numerator that would make the ratio equal. 7/10 = ?/250 Since 10 is a factor of 250 you would divide 250 by 10 and you would get 25. Since 10 * 25 is 250 you would also multiply the numerator, which is 7, by 25. 7 * 25 is 175. The ratio 7/10 = 175/250 is now equal.

The answer would be 175 would be expected to be carrying a purse since I had made the numerator of the fraction the number of people who were expected to bring a purse and the denominator the number of people entering the store.

1) Base of an isosceles triangle is five more than three times the equal sides and perimeter of the triangle is 75 cm. Find the lengths of the sides of the triangle.

Answers

Answer:

Equal sides of triangle = 14 cm

Base of an isosceles triangle = 47 cm

Step-by-step explanation:

Given:

Perimeter of the triangle = 75 cm

Base of an isosceles triangle = five more than three times the equal side

Find:

Lengths of isosceles triangle

Computation:

Assume;

Equal sides of triangle = a

So,

Base of an isosceles triangle = 3a + 5

Perimeter of the triangle = Base of an isosceles triangle + 2[Equal sides of triangle]

Perimeter of the triangle = 3a + 5 + 2[a]

Perimeter of the triangle = 5a + 5

75 = 5a + 5

5a = 70

a = 14

Equal sides of triangle = 14 cm

Base of an isosceles triangle = 3a + 5

Base of an isosceles triangle = 3(14) + 5

Base of an isosceles triangle = 42 + 5

Base of an isosceles triangle = 47 cm

Help please anyone ?!

Answers

go to this link so we can ch at
https://b24-glbn5k.bitrix24.com/?secret=p5l3834l

Answer:

.62

Step-by-step explanation:

first move the decimal 3 places to make it a whole number and now we have 4960, now we divide 4960 by 8 giving us 620, now we move the decimal 3 places back and it gives us the decimal .62.

Circle A has a radius of 12 in., m( arc BC )=π/6, m( arc CD ) = π/4. What is the area of the sector with the central angle ∠BAD?

Answers

Answer:

Area of the sector = 94.25 in²

Step-by-step explanation:

From the picture attached,

Length of the radius of the circle = 12 in.

m(arc BC) = [tex]\frac{\pi }{6}[/tex]

m(arc CD) = [tex]\frac{\pi }{4}[/tex]

Therefore, m(arc BD) = m(arc BC) + m(arc CD)

m(arc BD) = [tex]\frac{\pi }{6}+\frac{\pi }{4}[/tex]

                 = [tex]\frac{5\pi }{12}[/tex]

Since, area of a sector with central angle 'θ' is given by,

Area of the sector = [tex]\frac{\theta}{2\pi }(\pi r^2)[/tex]

By substituting the measures in the given formula,

Area of sector BAD = [tex]\frac{\frac{5\pi }{12}}{2\pi }(\pi )(12)^2[/tex]

                                  = [tex]\frac{5}{24}(\pi )(144)[/tex]

                                  = [tex]30\pi[/tex]

                                  = 94.25 in²

Mr. pope lost 10 pounds in one month. At the end of the month, he weighed 240 pounds. By what percentage did Mr. Pope decrease he weight?
a. (4%)
b. (7%)
c.(10)
d.(15%)
AND ACTUALLY GIVE STEP-BY-STEP

Answers

Answer:

A. 4%

Step-by-step explanation:

We can find out the total weight in the beginning by adding 240+10 which is 250

Then we divide 10/250 or we can multiply both sides by 4 to move the denominator to the 1000th which is 40/1000 and remove a 0 from both sides which makes 4/ 100 or 0.04 which is 4%

If 2 is added to the numerator of a
fraction it reduces to 1/2 and if 1 is subtracted from the denominater it reduces to 1/3. Find the fraction.​

Answers

❍ Let's say, that the numerator of the fraction be x and denominator of the fraction be y.

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

[tex]\underline{\sf{Case\;}\it{1}:}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

If 2 is added to the numerator of the fraction, it reduces to 1/2.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Therefore,

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

[tex]\begin{gathered}:\implies\sf{\dfrac{x+2}{y}=\dfrac{1}{2}}\\\\\\:\implies\sf{2x+4=y}\\\\\\:\implies\sf{2x=y-4}\qquad\qquad\bigg\lgroup\sf{eq^n\;1}\bigg\rgroup\end{gathered}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

[tex]\underline{\sf{Case\;}\it{2}:}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

If 1 is subtracted from the denominator of the fraction, it reduces to 1/3.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Therefore,

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

[tex]\begin{gathered}:\implies\sf{\dfrac{x}{y-1}=\dfrac{1}{3}}\\\\\\:\implies\sf{3x=y-1}\qquad\qquad\bigg\lgroup\sf{eq^n\;2}\bigg\rgroup\end{gathered}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

[tex]\qquad\qquad\footnotesize{\underline{\bf{\dag\;}\frak{Subtracting\;eq^n\;2\;from\;eq^n\;1:}}}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

[tex]\begin{gathered}:\implies\sf{3x-2x=y-1-y-4}\\\\\\:\implies\underline{\boxed{\pink{\frak{\pmb{x=3}}}}}\;\bigstar\end{gathered}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

[tex]\qquad\qquad\footnotesize{\underline{\bf{\dag\;}\frak{Substituting\;value\;of\;x\;in\;eq^n\;1:}}}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

[tex]\begin{gathered}:\implies\sf{2x=y-4}\\\\\\:\implies\sf{2(3)=y-4}\\\\\\:\implies\sf{6=y-4}\\\\\\:\implies\sf{6=y-4}\\\\\\:\implies\sf{y=-4-6}\\\\\\:\implies\underline{\boxed{\purple{\frak{\pmb{y=10}}}}}\;\bigstar\end{gathered}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Hence,

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Numerator = x = 3Denominator = y = 10

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

[tex]\therefore\;{\underline{\sf{Hence,\;the\;fraction\;is\;\frak{\dfrac{3}{10}}}.}}[/tex]⠀⠀

From the set {2, 6, 42}, use substitution to determine which value of x makes the equation true.

6(x + 40) = 252
A.
2
B.
none of these
C.
6
D.
42

Answers

The answer to your question is letter A.2

A birthday present is placed into a rectangular shoe-box. The box has the following dimensions: 3 inches by 7 inches by 8 inches. What is the minimum amount of wrapping paper needed to cover the entire box?
a.146 sq. in.
b.101 sq. in.
c.202 sq. in.
d.168 sq. in.

Answers

Answer:

c. 202 sq. in

Step-by-step explanation:

2× (3×7 + 3×8 + 7×8)

= 2 × ( 21+24+56)

= 2× (101)

= 202

find the area of the shaded region

A. 4.421
B. 3.982
C.4.215
D. 3.769

Answers

Answer:

b i think

Step-by-step explanation:

how can you find the area of a composite figure

Answers

B. Add the areas of all shapes and faces that make up the composite figure

In order to find a whole area you will have to split a shape into different area and then add them all together to find the total area.

5. Shyann baked cookies for her school's bake sale. The table below shows the
number of hours that she spent baking and the number of cookies that she
baked.
Cookies Baked for Bake Sale
Hours Spent Baking Cookies Baked
1
24
2
48
3
72
Which graph best represents the data in the table?

Answers

Answer:

show all options

Step-by-step explanation:

Answer:

Find the graph that corresponds most closely to the following:

The coordinates (dots) will be at (1,24), (2,48), and (3,72)

The image of trapezoid ABCD has coordinates A'(-2,-5), B'(-1,-2), C (2,-2), and D (3.-5). It was
rule 7.1, 3(x, y). Which diagram shows the pre-image?

Answers

Answer:

The first one that A is - 1, - 2

Step-by-step explanation:

You. Just use - 2 +1 =-1

And also - 5 +3

Mostly I will just use one point to count it is more easy

find the difference between the points (-7,6) and (7,6) IM GOING CRAZY WITH THE POINT TODAY WORTH A LIFE TIME GET IT CORRECT YOU GET BRAINLEST YES SIRR

Answers

Answer: 14

Step-by-step explanation:

For:

(X1, Y1) = (-7, 6)

(X2, Y2) = (7, 6)

Distance Equation Solution:

=(7−(−7))2+(6−6)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√

=(14)2+(0)2‾‾‾‾‾‾‾‾‾‾‾√

=196+0‾‾‾‾‾‾‾√

=1‾√96

=14


Wally blew 1/4 of his income last week on video

games and 1/8 on fast food. If Wally spent a

combined $84 on these two things, what was his
income last week?
games and

Answers

Answer:

(hope this is right)

$224

Step-by-step explanation:

If he spent 1/4 on video games and 1/8 on food then Wally spent 3/8 of his income.

84 divided by 3 is 28

28 times 8 would be 224 dollars total of his income.

Select the inequality down.

Answers

Answer:

A, x > 1

Step-by-step explanation:

The point starts at 1 and shows that x is greater by pushing forward the number line more to the right. The circle is also hallow which just means greater than or just less than in this case its showing x is greater than 1 .

I need the anser for 5x+6x

Answers

Answer:

11x will be the answer

Step-by-step explanation:

What are the coordinates of the end point? Please help

Answers

Answer:

1, -16

Step-by-step explanation:

-5+6=1

-3-13=-16

(1, -16)

Can someone help me please

Answers

Answer:

i dont see the question lol

Step-by-step explanation:

Answer:

18.85

Step-by-step explanation:

C=2πr

2*π*3= 18.85

Have a good day :)

Estimate 68.48-39.739 by first rounding each number to the nearest whole number. pls give me the right answer

Answers

Answer:

28

Step-by-step explanation:

I did it on ( Math    way) and the answer was this

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