A probability experiment is conducted in which the sample space of the experiment is S= {6,7,8,9,10,11,12,13,14,15,16,17.Let event E={6,7,8,9,10,11,12,13} Assume each outcome is equally likely. List the outcomes in Ec. Find P (Ec)

Answers

Answer 1

Answer: [tex]\dfrac{1}{3}[/tex]

Step-by-step explanation:

Given: S = {6,7,8,9,10,11,12,13,14,15,16,17}

E={6,7,8,9,10,11,12,13}

[tex]E^c=[/tex] Event having all elements of S other than E.

[tex]={14, 15 , 16, 17}[/tex]

[tex]P(E^c)=\dfrac{\text{Elements in }E^c}{\text{Elements in }S}\\\\=\dfrac{4}{12}\\\\=\dfrac{1}{3}[/tex]

Hence, [tex]P(E^c)=\dfrac{1}{3}[/tex]


Related Questions

Could someone help bc I don’t know

Answers

Answer:

A. 56 is greater than 37

B. -1 is less than 2

C. -5 is less than 0

D. -4 is greater than -5

E. -6.0 is equal to -6

Step-by-step explanation:

These are the answers because:

1) When we are comaparing positive numbers, the greater the number, the higher value it has, however, when we are comparing negative numbers, the higher the number, the less value it has.

Hope this helps! :D

Admission to the local amusement park cost $5.25 and each ride cost $2.50 which of the following equations represents the cost C in dollars for admission to the park with ex ride tickets?

Answers

Answer:

C=2.50r+5.25

Step-by-step explanation:

(r represents each ride cost)

5.25 would be the y-intercept since that's the initial fee to enter the park, and 2.50 would be the slope since each ride would cost that much.

5.25+2.5x=c (cost) x is how many rides

What is the cos(A) as a fraction

Answers

Answer:

cos A= 8/17

Step-by-step explanation:

cos theta = adj / hyp

Find the inverse:
-3x+7y=14

Answers

9514 1404 393

Answer:

  -3y +7x = 14

Step-by-step explanation:

The inverse relation is found by swapping the x- and y-variables. The relation that is the inverse of ...

  -3x +7y = 14 . . . . given relation

is

  -3y +7x = 14 . . . . inverse relation

Sheila walked 7.7 km to the library.



Using the table above, about how many miles did she walk?

Answers

Answer:

Sheila walked 6 Miles.

Step-by-step explanation:

6 Miles

I WILL GIVE BRAINLIEST

Answers

Answer:

slope = 4/1 or 4

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

Use the slope formula. change in y/change in x. The change in y is 4 because if your subtract the y coordinate 4 from the y coordinate 8, you get 4. The change in x is 1 because if you subtract the x coordinate 2 from the x coordinate 3, you get 1. 4 (change in y)/1 (change in x) is 4. Hope this helps!

What is the domain and range for the function graphed below

Answers

Answer:

c

Step-by-step explanation:

if you look, the x values will go on forever, however in the y value, the lowest value is -6, but the y values afterwards are infinite

ANSWER ASAP PLS YEY BRAINLIEST AND STUFFsolve for x 2/3=x-1/5

Answers

Answer:

x = 13/15

Step-by-step explanation:

If x - 1/5 = 2/3,

you can find x by doing 2/3 + 1/5.

2/3 = 10/15

1/5 = 3/15

10/15 + 3/15 = 13/15!

Hope this helps! Happy Holidays! XD


Which value, when placed in the box, would result ina system of equations with infinitely many solutions?
y=-2x + 4
6x + 3y = O
-12
-4
4
12

Answers

Answer:

-4

Step-by-step explanation:

What is the value of x in the figure shown below?
650
35°
Respond in the space provided.

Answers

Answer:

[tex]x=100[/tex]

Step-by-step explanation:

[tex]From\ the\ triangle\ given,\\Angles\ measuring\ 65\ and\ 35\ are\ interior\ opposite\ to\ x.\\Hence,\\As\ we\ know\ that\ the\ sum\ of\ two\ interior\ opposite\ angles\ will\ be\\ equal\ to\ the\ exterior\ angle.\\Here,\\35+65=x\\x=100[/tex]

The probability that a women likes the color blue is 10%. The probability of being a women is 40%.What is the probability that a person likes the color blue given that they are a woman?​

Answers

Answer:

The probability that a person likes the color blue given that they are a woman=0.25%

Step-by-step explanation:

We are given that

The probability that a women likes the color blue=10%=[tex]\frac{10}{100}=0.1[/tex]

The probability of being a women=40%=[tex]\frac{40}{100}=0.4[/tex]

We have to find the probability that a person likes the color blue given that they are a woman.

We know that

Conditional probability formula

[tex]P(A/B)=\frac{P(A\cap B)}{P(B)}[/tex]

The probability that a person likes the color blue given that they are a woman

=[tex]\frac{0.1}{0.4}[/tex]

[tex]=\frac{1}{4}=0.25[/tex]

Hence, the probability that a person likes the color blue given that they are a woman=0.25%

4(2x - 5)+ 5(3x - 7)

Answers

Answer:

=23x−55

Step-by-step explanation:

Let's simplify step-by-step.

4(2x−5)+5(3x−7)

Distribute:

=(4)(2x)+(4)(−5)+(5)(3x)+(5)(−7)

=8x+−20+15x+−35

Combine Like Terms:

=8x+−20+15x+−35

=(8x+15x)+(−20+−35)

=23x+−55

Answer:

22x-55

pemdas works too i guess

Given m||n, find the value of x.
+
(8x-4)º
(6x-12)

Answers

Answer:

x = 14

Step-by-step explanation:

(6x - 12)° + (8x - 4)° = 180° (Supplementary angles)

6x - 12 + 8x - 4 = 180

Add like terms

14x - 16 = 180

14x = 180 + 16

14x = 196

x = 196/14

x = 14

Which process would produce the complex number w2? Add 3 – i to w1. Add –9 + 3i to w1. Subtract 3 – i from w1. Subtract –9 + 3i from w1.

Answers

Answer

B.) Add [tex]-9+3i[/tex] to [tex]w1[/tex]

Step-by-step explanation:

Just took the test and D was wrong.

Suppose y varies directly with x. When
x is 3, y is 15. What is y when x is 10?

Answers

Answer:

Y= 30

Step-by-step explanation:

Because proportionally it makes sense as well as it multiplication.

Passes through (-4, -3), slope = -2.

Answers

9514 1404 393

Answer:

  y +3 = -2(x +4)

Step-by-step explanation:

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . .  line with slope m through point (h, k)

For your given point and slope, this is ...

  y -(-3) = -2(x -(-4))

  y +3 = -2(x +4)

You order pizza on Door Dash. It costs $39. Sales tax is 7%. What is the sales tax?

Answers

Answer:

Sales tax is $2.73. Making the total $41.73

Answer:

2.73 or [tex]\frac{273}{100}[/tex]

Step-by-step explanation:

[tex]--------------------------------------------[/tex]

It is $2.73 because 7% of $39 = 2.73 or [tex]\frac{273}{100}[/tex] according to Desmos.

[tex]--------------------------------------------[/tex]

$39 + $2.73 = $41.73 = Total

[tex]--------------------------------------------[/tex]

The sales tax is $2.73

[tex]--------------------------------------------[/tex]

The total is $41.73

[tex]--------------------------------------------[/tex]

Hope this helps! <3

[tex]--------------------------------------------[/tex]

Johnny takes an Uber to a toy store to buy some slime. Each container of slime costs $5 dollars. The Uber charges a total of $10 dollars. Write an expression that represents Johnny's total cost after buying s containers of slime, including the Uber ride.

Answers

Answer:

Step-by-step explanation:

total cost= c

containers of slime=s

c=5s+10

How many degrees are in a 29 sided figure?

Answers

Answer:

4860 degrees

Step-by-step explanation:

Triangle=180

Square=360.

The pattern: increase by 180.

Triangle=3 sides.

29-3 is 26.

26*180+180

4860.

Hope this helps :D

Ramon earns $1,690 each month and pays $53.60 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?

Answers

Answer:

3.1%

Step-by-step explanation:

divide his electricty payment by his monthly pay

#5 Test question 7th grade math

Answers

Answer:

0.85p and p - 0.15p are right

Evaluate the expression shown for x = 9.
5
--X+7
6
0
-13.
ܝ
2.

Answers

The answer is be !! -1/2 don’t forget the negative sign

Answer: B or -I/2

Step-by-step explanation: I did this question

you have 15 milk chocolate Valentines and 10 dark chocolate Valentine.What is the probability that the first Valentine handed out is milk chocolate and the second is dark chocolate.​

Answers

Answer:

15/25 cuz 25 is the total and there's 15 milk. 2nd as dark chocolate would then be 10/24 cuz you've already taken one chocolate. Multiply by both would be 3/5 × 5/12 = 1/4. Percentage would then be 1/4 = 0.25 , and multiply that by 100% would then be 25%

Answer:

probability of getting milk chocolate =3/5

while

the probability of getting dark chocolate is 2/5

Step-by-step explanation:

milk chocolate=15

dark chocolate=10

there fore total=25

probability of getting milk chocolate=15/25. =3/5

while

the probability of getting dark chocolate=10/25=2/5

that's the method I know but I'm sorry if I got it wrong

I hope u get what you are looking for

6.
It is given that at x = 1, the function x^4 - 62x^2 + ax + 9 attains its
maximum value on the interval [0, 2]. Find the value of a.​

Answers

Answer:

The value of a is 120.

Step-by-step explanation:

Given function;

f(x) = x⁴ - 62x² + ax + 9

find the derivative of the function;

f'(x) = 4x³ - 124x + a

The function (f) attains its maximum value on the interval [0, 2], at x = 1.

f'(1) = 0

0 = 4(1)³ - 124(1) + a

0 = 4 - 124 + a

0 = -120 + a

120 = a

Thus, the value of a is 120.

what is 12x-7 where x=4

Answers

41, if I’m mistaken please let me know.

Answer:

41

Step-by-step explanation:

12x4=48 -7= 1 and that's my explanation

IF a= 6 and b= 7, then 4a(3b+5) + 2b =?

Answers

Answer:

64

Step-by-step explanation:

4a(3b+5)+2b

Substitution

4(6)[3(7)+5]+2(7)

Order of operations (PEMDAS)

4(6)[21+5]+2(7)

4(6)+26+2(7)

24+26+14

50+14

64

Hope this helps. Have a nice day. May it be filled with joy and happiness. Please, be safe and wash your hands. Happy Holidays.

The answer is 64 I think

Matthew purchased a desk that was on sale for 45% off the orginal price of $480.If the sales tax was 8% (of the sale price), how much did mattew spend on the desk

Answers

Answer:

285.12

Step-by-step explanation:

discount amount = 45/100 x 480= 45x48/10

=216.0

price after discount= 480-216=264

sales tax= 8/100 x 264=21.12

total money spent = 264+21.12=285.12

45% of 480

= 45/100 x 480

= 0.45x480

=216

=480-216

=264

8% of 264

= 8/100 x 264

= 0.08 x 264

= 21.12

= 264 + 21.12

=285.12

Therefore, he paid $285 and 12 cents

Find any points of discontinuity for y = 5x+6/x2+6x+9

Answers

Answer:

x = -3 is the point of discontinuity.

Hence, option B is correct.

Step-by-step explanation:

Given the expression

[tex]y=\frac{5x+6}{x^2+6x+9}[/tex]

In order to determine the discontinuity, the denominator must be 0.

so let us solve the denominator to get the values of x

[tex]x^2+9x+9\:=0[/tex]

[tex]\left(x+3\right)^2=0[/tex]

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

[tex]x+3=0[/tex]

Subtract 3 from both sides

[tex]x+3-3=0-3[/tex]

[tex]x = -3[/tex]

Therefore, x = -3 is the point of discontinuity.

Hence, option B is correct.

please awnser use image for question

Answers

1 C
2 A
3 B
I hope this helps

Duela de 1a 1 1/2 x 10 x 3, $ 120.00 m2

Answers

¡Hola!

¿Qué puede significar una duela de 1 a 1 1/2 x10x3 $ 120.00m2?

Este ejercicio es para que puedas acomodar la información para que quien la lea tenga una forma de entenderla claramente así:

1. Primero podríamos decir que una duela es una tabla de madera que se curva y contornea los barriles o también las tablas de los pisos.

2. Lo siguiente es para confirmar que la mesa es de excelente calidad, es decir, Primera o.

3. 1, puede hacer referencia a una unidad.

4. 1/2 x10x3 este puede ser su volumen en centímetros 1 / 2cm de alto, 10cm de largo y 3cm de ancho.

5. Por último, el precio de la duela, 120.000 dólares el metro cuadrado.

Entonces podemos organizar todo esto:

Duela de Primero, 1 unidad; 1/2 cm de alto, 10cm de largo y 3cm de ancho, con un precio de $ 120.00 el metro cuadrado.

¡Espero haber ayudado!

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