A tile is selected from seven tiles, each labeled with a different letter from the first seven letters of the alphabet.
The letter selected will be recorded as the outcome.
Consider the following events.
Event X: The letter selected comes before "E".
Event Y: The letter selected is found in the word "FACE".
Give the outcomes for each of the following events.
If there is more than one element in the set, separate them with commas.

Answers

Answer 1

Answer:

Step-by-step explanation:

U= {A,B,C,D,E,F,G}

X = {A, B, C, D}

Y = {A, C, E, F}

a) X or Y = {A, B, C, D} and {A, C, E, F} = {A, B, C, D, E, F}

B) X and Y = {A, B, C, D} or {A, C, E, F} = {A, C}

c) Complement of X = {A,B,C,D,E,F,G} - {A, B, C, D} = {B,D,G}

Answer 2

Element in the given sets will be [tex]\left \{ A,B,C,D \right \}[/tex] and [tex]\left \{ A,C,E,F \right \}[/tex]

Given information,

A tile is selected from seven tiles, each labeled with a different letter from the first seven letters of the alphabet.

X: The letter selected comes before "E".

Y: The letter selected is found in the word "FACE".

The outcomes in favour of X will be:

[tex]X=[/tex] [tex]\left \{ A,B,C,D \right \}[/tex]

The outcomes in favour of Y will be:

[tex]Y=\left \{ A,C,E,F \right \}[/tex]

Therefore,

Element in the given sets will be [tex]\left \{ A,B,C,D \right \}[/tex] and [tex]\left \{ A,C,E,F \right \}[/tex]

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Related Questions

6-4x-5x=-57, pls i need help

Answers

Answer: 7

Step-by-step explanation:

6-4x-5x=-57

6 -9x= -57

9x= 57+6

9x= 63

Divide both sides by 9

x= 7

X = 7
Dgdgdgbfbgffggf

50 plus 30 times 14 equalsss

Answers

Answer:

470 is your awnser

Step-by-step explanation:

Answer:

50 + 30 * 14 = 470

Step-by-step explanation:

  50 + 30 * 14

= 50 + 420

= 470

(-8.7) × (-10) =?

? = ___​

Answers

Answer:

87

Step-by-step explanation:

Two negatives multipliedd together makes a postive and then 8.7 x 10 is 87.

Answer: 87

Step-by-step explanation:

tnmtmapat

Josie measured the diameter of the base of her cup if the diameter of her cup measure 12cm what is the measure of the radius
O 6cm
O 24cm
O 36cm
O 144cm

Answers

The correct answer is 6cm

A lamp originally costs $30 Krishna has a 5% off coupon for the lamp After the coupon a 5% sales tax is applied Will she pay more than $30 less than $30?


1. More than $30

2. Less than $30

3. Exactly $30

Answers

3. The 5% off will make it 29.50 and with the tax it will be back to 30

Krishna will pay less than $30

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We are given that A lamp originally costs $30. Krishna has a 5% off coupon for the lamp After the coupon a 5% sales tax

5% of 30

0.05 x 30 = 1.5

so 30 - 1.5 = 28.5

then 5% of 28.5

0.05 x 28.5 =  1.425

then you add 28.5+1.425= 29.925

Therefore, its less than 30

Learn more about the unitary method, please visit the link given below;

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You and your family go out to eat at Avanti's. Find your total bill including food, drinks, tax, and tip. Your food and drinks total $43.15. How much will tax be if there is a 7.5% sales tax? If you want to leave a 15% tip, how much will you leave?​

Answers

Answer:

Tax be if there is a 7.5% sales tax : $43.15 x 7.5% = $3.24

There is a 7.5% sales tax : $43.15 x 15% = $6.47

So the total amount you have to pay is  : $43.15 + $3.24 + $6.47= $52.86

Step-by-step explanation:

2. What is the degree of polynomial √3 ?​

Answers

Answer:

0

Step-by-step explanation:

Under root 3 is a polynomial and its degree is 0. This is because its expression can take place as √3(x^0)

The expression is constant, which means it can be rewritten with a factor of x⁰
. The degree is the largest exponent on the variable.

= 0

Find the Total Surface Area of the following Triangular Prism’s NET……

Answers

Answer:

170 cm^2.

Step-by-step explanation:

This consists of 3 rectangles of same area and 2 triangles of the same area.

= 3 * 10 * 5 + 2 * 1/2 * 5 * 4

= 150 + 20

= 170 cm^2.

N + 7 < -8 solve the inequality

Answers

N < -15

Step-by-step explanation:

N + 7 < -8

N < -8 - 7

N < -15

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a Can of soup has a diameter of 2.5 inches and a height of 4 inches. how much metal is needed to make the can? round your answer to the nearest tenth.

Answers

First the 2 bases have surface area pi*1.25^2*2

Then the side

2.5pi*4=10pi

total of 9.817+31.415

=41.232

This approximation could be further round down for this problem to 41.2

Which makes choice C the correct choice.

plz help answer ASAP plz

Answers

Answer:

16 ft

Step-by-step explanation:

Because h = √20² - (24/2)² = √400-144 = √256 = 16

hope this is helpful!

Can someone help me the question is 3 7/5+ 6 7/8 (note these are mixed fractions​

Answers

Answer:

11 11/40

Step-by-step explanation:

3 7/5 + 6 7/8 = 22/5  + 55/8 = 176/40 + 275/40 = 451/40 = 11 11/40


Luke is drawing triangles when given three side lengths.
Which of these side lengths could be the side lengths of a triangle?
Choose all that are correct.
2 cm, 10 cm, 13 cm
1 cm, 10 cm, 8 cm
5 cm, 9 cm, 5 cm
3 cm, 4 cm, 5 cm
4 cm, 6 cm, 2 cm

Answers

Answer:

the answers are C D and E.

Answer:

its C, D, & E

Step-by-step explanation:

A penguin 10 feet in 5 seconds. At this speed: How long does it take the penguin to walk 52 feet?

Answers

Answer:

26 seconds

Step-by-step explanation:

If we want to find out how long it takes to walk 52 feet, we should start by figuruing out how long it takes to walk 50 feet.

10 x 5 is equal to 50

It takes 5 seconds to walk ten feet, and 5 x 5 = 25

Then, because 2 is 1/5 of 10, find 1/5 of 5, which is 1

Add 1 to 25 and you have your answer.

sam left a 18% tip on a 55$ dinner bill. A- how much was the tip? B- what was the total bill?

Answers

A= $9.90 B= $64.90

because, 18% of $55 is $9.90. Then you would add $9.90 to $55 and get $64.90

Joe can jog 6 miles in one hour.How much farther than Tera can he jog in 2 hours (Tera can jog 11 miles in 2 hours)

Answers

Answer:

1 mile

Step-by-step explanation:

Joe =  6 mph

6 x 2 hours = 12 miles in 2 hours

Tera = 11 miles in 2 hours

12 - 11 = 1 mile

Give four rational numbers betwee1by2 and 6 by 7

Answers

Answer:

Therefore four rational numbers between 1 and 2 are 9/8, 5/4, 3/2, and 7/4 Step-by-step explanation:

Step-by-step explanation:

we we have to find four rational number between 1/2 and 6/7.

So, firstly we find LCM ...for make same numerator

= 1×7/2×7 and 6×2/7×2

=7/14 and 12/14

Now,

We can check that.....8/14,9/14,10/14and 11/14 are four rational numbers between 1/2 and 6/7 .

I will give brainiest if right please help im about to get grounded for 6 months
A prism and two nets are shown below:

Image of a right triangular prism and 2 nets. The triangle bases have base 4, height 3, and diagonal side 5. The length of the prism from the bases is 9.4. Net A has 3 rectangles in a row. The middle one has sides AC and CD. This middle one has triangle ABC on top and identical triangle below. Net B is the same except that the triangle base ABC is on top of the last rectangle which has sides AC and CD. Units are in inches.

Part A: Which is the correct net for the prism? Explain your answer. (2 points)

Part B: Write the measurements of Sides AB, BC, and CD of the correct net. (4 points)

Part C: What is the surface area of the prism? Show your work. (4 points)

Answers

Answer:

Pt A:I would say net A because if you fold net b it's going to be very tricky and hard to make and if you fold net A you get the exact shape.

Pt B:AB is 3in BC is 4 in and CD is 5 in.

Step-by-step explanation:

i hope this helps this helps you get out of trouble

Answer:

Pt A:I would say net A because if you fold net b it's going to be very tricky and hard to make and if you fold net A you get the exact shape.

Pt B:AB is 3in BC is 4 in and CD is 5 in.

Step-by-step explanation:

yep

Tom made $450 selling CDs last month. That total increased to $513 this month. What was the percent increase? (pls answer)

Answers

Answer:

14%

Step-by-step explanation:

Find the distance between the points (9, –6) and (–4, 7). Question 15 options: A) B) C) D)

Answers

Answer:

[tex] \huge \boxed{ \boxed{ \tt \sqrt{170} }}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:coordinatesPEMDASgiven:point:(9,-6),(-4,7)tips and formulas:[tex]d = \sqrt{(x _{2} - x _{1} ) ^{2} + (y_{2} - y_1 {)}^{2} } \atop[/tex]let's solve:[tex] \sf substitute \: the \: value \: o f \:x _{2} \: x _{1} \: y_{2} \: y_1 \: respectively : \\ \sqrt{(9-(-4) ) ^{2} + (-6 - (-7){)}^{2} } [/tex][tex]\sf simplify : \\ \sqrt{(9-(-4) ) ^{2} + (-6 - (-7){)}^{2} } \\ \sqrt{(9 + 4 {)}^{2} + ( - 6 + 7 {)}^{2} } \\ \sqrt{ {13}^{2} + {1}^{2} } \\ \sqrt{169 + 1} \\ \sqrt{170} \\ [/tex]

What is the value of r in the equation?

Negative 1.5 (4 minus r) = negative 12
–6
–4
4
6

Answers

Answer:

the answer is 4

Step-by-step explanation:

that will be because this is the answer

Answer:

-4      I am just smart you are to <3

Mount Mo is 5323 feet tall dawn climbed it in five days she climbed 821 feet on the last day how many feet did she climb in the first four days ​

Answers

Answer:

1,125.5

Step-by-step explanation:

You subtract the amount she climbed on the last day then divide the difference by four

Answer:

She climbed 4502 feet the first four days and if she climbed the same amount each of those four days she climbed 1125.5 each day!

Work out p if r =3 and t=4

P=2r+3t

Answers

P=18 because 3 times two is 6 and 4 times 3 is 12 so when you add them you get 18

PLSS HELPPP BRAINLIEST AND 65 POINTS

Answers

Answer:

y = -2x - 1

Step-by-step explanation:

Answer: y=-2x-1

Reasoning:

explain step by step ​

Answers

Answer:

-1 and 6

Step-by-step explanation:

The zeros of the function f(x) is where f(x) hits the x axis (or also known as x-intercepts)

In this case, the points where the graph f(x) touches the x axis are (-1,0) and (6,0).

Therefore, the zeros of the function are -1 and 6.

What is the equation of the line in y=mx+b format?

Answers

Answer:

it would be y=2x +4

Step-by-step explanation:

it's rise over run and the y into would be 4

Answer:

y = -1/2x + 4

Step-by-step explanation:

Find your y-intercept, then find your slope. This line's slope is negative (you can see this because of the change in direction in which the line is heading).

JKL is a straight line.
JK = KL = KM.
Angle KLM = 58°
Work out the size of the angle marked x.
Give a reason for each stage of your working.
K
X Х
M M
589
L

Answers

Answer:

61

Step-by-step explanation:

180 - 58 = 122

122÷2 = 61 because it's a and isoslecs triangle

What is the value of x in the figure shown below?
C
5.5
D
20
80°
3.4
3.4
20°
A
B
5.5

Answers

Answer:

80 degrees

Step-by-step explanation:

this is because they are identical triangles

Need help for all three ASAP thanks

Answers

Answer:

42.38

22

37.36

Step-by-step explanation:

subtract the known value from 90 to get the missing value :)

Tera can jog 5.5 miles in one hour.At the same rate, how far can she jog in 2 hours?

Answers

Answer:

Jehsbdbsjahsbdbwishbxj

Step-by-step explanation:

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