A bag contains 8 green, 4 black and 6 yellow marbles. How could you use the complement to determine the probability of randomly selecting a green or black marble?

Answers

Answer 1

Answer:

12/18=2/3

Step-by-step explanation:

You should add up every marbles to find out how many marbles are in total. Then, you should add the green and black marbles. There are 4 black marbles, and 8 green marbles, which results 12 black+green marbles. Then you should make a fraction 12/18, because you are finding the probability of the green+black marbles out of the total marbles. If you simplify, you get 2/3.

Answer 2

The probability of randomly selecting a green or black marble is 12/18.

What is probability?

Probability is the ratio that determines how likely an event is to occur from a set of possible events.

We can find the probability of randomly selecting a green or black marble as shown below:

Total number of green marbles = 8

Total number of black marbles = 4

Total number of yellow marbles = 6

Total number of marbles = Total number of green marble + Total number of black marbles + Total number of yellow marbles = 18

P(selecting a green marble) = Total number of green marbles/Total number of marbles

= 8/18

P(selecting a black marble) = Total number of black marbles/Total number of marbles

= 4/18

P(selecting a green or black marble) = (Total number of green marbles + Total number of black marbles)/Total number of marbles

= (8 + 4)/18

= 12/18

Therefore, we have found the probability of randomly selecting a green or black marble to be 12/18.

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Related Questions

6(4.5x-12)=9
A. X= 0.6
B. x = 28
C. x= 3
D. x= 3.3

Answers

Answer:

Step-by-step explanation:

27x - 72 = 9

27x = 81

x = 3

answer is C

the food is sufficient for 1200 soldiers for 60 days how long the food last for 1000 soldiers​

Answers

Answer:

It would last for 54 days.

Step-by-step explanation:

After 15 days 200 soldiers leaved.

Soldiers              Food for days

1200 ↓                 45

1000                 ↑ x (let)

Arrows show the opposite variation to each other

1200     x

1000 = 45

Or, x =  1200×45

               1000

                 = 54 days.

One side of a triangle is 8 feet longer than the second side. The third side is 4 feet longer than the second side. The perimeter of a triangle is 36 feet. Find the length of each side.

Answers

Answer:

The second side is 8.

The third side is 12.

The last side is 16.  

Step-by-step explanation:

The third side is 12 because it is 8+4. Given these facts, it is 20 feet so far. And the last side of the triangle is 16, for it is 8+8. So, 16+20 is 36. Hope thsi helped.

If you’re good at algebra could somebody help me please?

Answers

Answer:

a). f(0) = 7

b). f([tex]\frac{1}{3}[/tex]) = 6

c). f(-5) = 22

d). x = 9

Step-by-step explanation:

The given function is f(x) = -3x + 7

a). For x = 0

   f(0) = -3(0) + 7

         = 0 + 7

         = 7

b). For x = [tex]\frac{1}{3}[/tex]

    f([tex]\frac{1}{3}[/tex]) = [tex](-3)(\frac{1}{3})+7[/tex]

          = -1 + 7

          = 6

c). For x = (-5)

   f(-5) = -3(-5) + 7

          = 15 + 7

          = 22

d). For f(x) = (-20)

    -20 = -3x + 7

     3x = 20 + 7

     3x = 27

       x = 9            

if f(x)=3x^2-4 and g(x)=5x+1, find fog(4) and gof(4)

Answers

oye would be 42 i tho k not sure

Range of value, solve for x, 2x-15

Answers

Answer:

3

Step-by-step explanation:

Set the denominator in  

3

x

2

2

x

15

equal to  

0

to find where the expression is undefined.

x

2

2

x

15

=

0

Solve for  

x

.

Tap for more steps...

x

=

5

,

3

The domain is all values of  

x

that make the expression defined.

Interval Notation:

(

,

3

)

(

3

,

5

)

(

5

,

)

Set-Builder Notation:

{

x

|

x

3

,

5

}

Which properties of equality are used in the example shown on the left? Check all of the boxes that apply.

Answers

Answer:

Addition Property and substitution property

. Elijah's workout at the gym consists of just the elliptical and treadmill. After burning 450
calories on the elliptical machine, Elijah switched to the treadmill. If he is burning 12.5 calories
per minute on the treadmill, find the total number of calories he will have burned during his
workout if he spends 30 minutes on the treadmill.

Answers

Answer:

375

Step-by-step explanation:

30*12.5 is equal to 15*25

15*25= 375

The total number of calories he will have burned during his workout if he spends 30 minutes on the treadmill will be 375 calories.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Elijah's workout at the gym consists of just the elliptical and treadmill. After burning 450 calories on the elliptical machine, Elijah switched to the treadmill.

The number of calories burnt will be calculated below,

30 x 12.5  

15 x 25

15 x 25= 375 calories

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- m(2m + m2); m =
-4

Answers

Answer:

-(-4)(2×-4+(-4×2).

4(-8+(-8)).

4(-16).

= -64.

Answer:-64

Step-by-step explanation:

-4(2×4+4×2)

-4(8+8)

-32-32=-64

Mr.wilkins deposited $2,500 in a new account at his bank . •the bank pays 6.5% interest compounded annually on this account •mr.wilkins makes no additional deposits or withdrawals Which amount is closest to the balance of the account at the end of 2 years

Answers

Answer:

Step-by-step explanation:

$2,662.50

(5 points)
You randomly pull a rock from a bag of rocks. The bag has 3 pink
rocks, 1 green rock, 4 blue rocks, and 1 black rock.
What is the probability of not drawing a speckled or a yellow rock?

Answers

Answer:

100%

Step-by-step explanation:

there are no speckled or yellow rocks so you have a 100% chance of not drawing them

100%

Since there aren't any speckled or yellow rocks it isn't possible to draw them.

Subtract.
Enter your answer, in simplest form, in the box.
-3 3/8 - 7/8

Answers

Answer:

The answer is

[tex] - \frac{17}{4} \: \: or \: \: - 4 \frac{1}{4} [/tex]

Step-by-step explanation:

[tex] - 3 \frac{3}{8} - \frac{7}{8} [/tex]

First of all convert the mixed number to an improper fraction

We have

[tex] - 3 \frac{3}{8} = \frac{27}{8} [/tex]

So we have

[tex] - \frac{27}{8} - \frac{7}{8} [/tex]

Since they have the same denominator we can subtract them directly

We have

[tex] - \frac{27}{8} - \frac{7}{8} = - \frac{34}{8} [/tex]

Reduce the fraction with 2

We have the final answer as

[tex] - \frac{17}{4} \: \: or \: \: - 4 \frac{1}{4} [/tex]

Hope this helps you

Solve x − 2y = 3 for x..

Answers

Answer:

[tex]x=2y+3[/tex]

Step-by-step explanation:

[tex]x-2y=3[/tex]

To get x, first, we must add 2y on both sides.

[tex]x-2y+2y=3+2y[/tex]

Now that we added, we received our answer!

[tex]x=2y+3[/tex]

Hope this helps!

Answer:

x=3+2y

Step-by-step explanation:

Add 2y to both sides of the anwser

 x-2y=3

   +2y    +2y

 x=3+2y

There you go

Which ordered pair comes from the table?

Answers

Answer:

d

Step-by-step explanation:

Which ordered pair comes from the table?

Colton and his children went into a movie theater and he bought $48.50 worth of bags of popcorn and candies. Each bag of popcorn costs $5.50 and each candy costs $3.50. He bought a total of 11 bags of popcorn and candies altogether. Determine the number of bags of popcorn and the number of candies that Colton bought.

Answers

Answer:

5 bags of popcorn and 6 candies.

Step-by-step explanation:

(5 * $5.50) + ($3.5*6) = $48.5

The hypotenuse of a right triangle is 10 inches long. One of the legs is 2 inches longer than the other one. If x is the length of the shorter leg, what is the equation

Answers

Answer:

The equation is

X²+2x-48 = 0

Shorter one is 6 inches

Other side= 8 inches

Step-by-step explanation:

The equation for a right angle triangle normally is

A² = B² + C²

Where A = hypotenuse

Then B and C are the order sides of the triangle.

This time

Hypotenuse= 10 inches

The shorter one is X

While the other one is X+2

The equation

10²= x² +(x+2)²

100= x² + x² + 4x +4

100 - 4 = 2x² +4x

96= 2x² +4x

48 = x² +2x

X²+2x-48 = 0

Solving for x

X² +8x-6x-48= 0

X(x+8)-6(x+8)=0

(X-6)(x+8)= 0

X= 6 or x= -8

Definitely x is posiy

So x= 6

Shorter one is 6 inches

Other side= 6+2= 8 inches

Which is the value of this expression when a=5 and k=-2? ?
K
325-2
3a7
75
9
25.
25
19
10 75

Answers

Hey there! I'm happy to help!

[tex]a^-^2[/tex] is the same thing as 1/a². So, [tex]5^-^2[/tex] is 1/25. This is multiplied by 3² which is 9, so this is 9/25.

In the denominator, we have [tex]5^-^1[/tex], which is 1/5. We multiply this by 3, which is 3/5.

So, we divide 9/25 by 3/5, giving us 3/5.

Now, we raise this to the power of -2, so we flip the numerator and denominator and then square both numbers, giving us 25/9.

Have a wonderful day! :D

I'm not too sure on this. I need help ASAP, please and thank you.

Answers

Answer:

25

Step-by-step explanation:

PLEASE I really need help

Answers

i would say Jupiter but i may be wrong

a) Let U = {1,2, ..., 9} be the universal set, and let
A = {1, 2, 3, 4, 5},
C= {5, 6, 7, 8, 9), E= {2,4,6,8},
D= {1,3,5,7,9), F = {1,5,9}.
B = {4, 5, 6, 7},
Find:
ii) (A/E)^c
iii) (BnF) U (CnE)​

Answers

Answer:

B= {4,5,6,7,} is the answer.

it is difficult ☹️ questions

Use the following information to answer questions .
A purchasing unit for a state government has found that 60% of the winning bids for office- Cleaning contracts come from regular bidders, 30% from occasional bidders, and 10% from first- uime bidders. The services provided by successful bidders are rated satisfactory or unsatisfactory anter one year on the job. Experience indicates that 90% of the jobs done by regular bidders are satisfactory, as are 80% of the jobs done by occasional bidders and 60% of the jobs done by first- time bidders.
1. What is the probability a job will be done by a first-time bidder and be satisfactory?
a. 0.06
b. 0.09
c. 0.10
d. 0.60
2. What is the probability that a job will be satisfactory?
a. 0.54
b. 0.60
c. 0.84
d. 0.95
3. Given that a job is satisfactory, what is the probability that it was done by a regular bidder?
a. 0.5778
b. 0.6141
c. 0.6429
d. 0.9000

Answers

Answer:

1

 The  correct option is  A

2

 The  correct option is  C

3

 The  correct option is  C

Step-by-step explanation:

From the question we are told that

   The proportion of the winning bid from a regular bidder is  [tex]P(R) = 0.60[/tex]

   The proportion of the winning bid from a occasional bidders is  [tex]P(O) = 0.30[/tex]

     The proportion of the winning bid from a first- time bidders is  [tex]P(F) = 0.10[/tex]

    The proportion of  satisfactory jobs done by a regular bidders is [tex]P(R|S) = 0.90[/tex]

The proportion of  satisfactory jobs done by a occasional bidders is    [tex]P(O|S) = 0.80[/tex]

The proportion of  satisfactory jobs done by a first- time bidders is   [tex]P(F|S) = 0.60[/tex]

Generally the probability that a job will be done by a first-time bidder and be satisfactory is mathematically represented as

          [tex]P(F n S) = P(F) * P(S|F)[/tex]

=>        [tex]P(F n S) = 0.10 * 0.60[/tex]

=>       [tex]P(F n S) = 0.060[/tex]

Generally the probability that a job will be satisfactory is mathematically represented as

       [tex]P(S) = 0.60 * 0.90 + 0.30 *0.80+ 0.10*0.60[/tex]

=>     [tex]P(S) = 0.84 [/tex]

Generally given that a job is satisfactory, what is the probability that it was done by a regular bidder is mathematically evaluated as

              [tex]P( S | R) = \frac{0.90* 0.60}{0.60}[/tex]

               [tex]P( S | R) = 0.6429[/tex]

       

Solve (2^2x+1)-9(2^x)+4=0​

Answers

Answer:

x₁ = - 1

x₂ = 2

Step-by-step explanation:

2²ˣ⁺¹ - 9ₓ2ˣ + 4 = 0

2²ˣₓ2 - 9ₓ2ˣ + 4 = 0

2ˣ = n

2n² - 9n + 4 = 0

2n² - n - 8n + 4 = 0

n(2n - 1) - 4(2n - 1) = 0

(2n - 1)(n -4) = 0

2n - 1 = 0 => n₁ = 1/2

n - 4 = 0 => n₂ = 4

2ˣ = 1/2 => 2ˣ = 2⁻¹ => x₁ = - 1

2ˣ = 4 => 2ˣ = 2² => x₂ = 2

I need to get slope intercept form

Answers

The slope intercept form might be: -2/3x+490

If 5 + 6i is a solution of a quadratic equation with real coefficients, then_______ is also a solution of equation.

Answers

Answer:

Step-by-step explanation:

complex roots always occur in pairs and are conjugate of each other.

second root=5-6i

The probability of rolling a number less than 3 on a number cube 2/6. Jennifer rolls a number cube 60 times how many times should jennifer except to roll a number less than 3

Answers

Answer:

20 times

Step-by-step explanation:

Given the following :

Probability of rolling a number less than 3 on a number cube:

Required outcome = (1, 2)

Total possible outcomes = (1, 2, 3, 4, 5, 6)

Required outcome / Total possible outcomes

= 2 /6

= 1/3

Hence, if number cube is rolled 60 times, number of times a number less than 3 is expected :

(Probability of obtaining a number less than 3 in one roll × number of rolls)

= (1 / 3) × 60

= 60 / 3

= 20 times

three angles are adjacent to each other and form 140.the largest angle is twice the smaller angle and the angle which is middle size is 24 more than the smallest. find the angles​

Answers

The angles are 29°, 53° and 58°

Answer:

Smallest: 29, Middle: 53, Largest: 58

Step-by-step explanation:

We can represent the angles in this problem using an equation.

We'll use x to represent the smallest angle, and work out other ways to represent the others.

As the largest angle is twice that of the smaller angle, we can represent the largest angle as 2x as 2x is two times x.

The middle angle is 24 more than the smallest, so we can represent that one as x + 24, since it is 24 more than the smallest.

Now we have our angles all represented with x:

Smallest angle = x

Middle = x+24

Largest = 2x

We know that they all add together to 140 so our equation is:

x+2x+(x+24) = 140

Now we can solve for x!

We can remove the brackets (addition does not change the terms) and combine the terms:

x+2x+x+24=140

4x+24=140

Next we move the 24 to the other side so we can solve for x:

4x + 24 - 24 = 140 - 24

4x = 116

Finally we divide both sides by 4:

x=29

The smallest angle is 29!

Now we can use our representations to find the other angles:

Middle angle = x+24, therefore it is 29+24 = 53

Largest angle = 2x therefore it is 2*29 = 58

58+53+29=140 so we have successfully worked out our angles!

Hope this helped!

[(8-6 x 7]-3 can you guys tell me what's the answer?

Answers

Answer:

the answer is 11

A class of 33 students elected a class treasurer. There were 11 votes for Candidate A and 15 votes for Candidate B. The remaining students did not vote. Which expression gives the percent of voters who voted for Candidate A?

Answers

Answer:

[tex]\frac{11}{11+15}[/tex] * 100

Step-by-step explanation:

The voters would be 11+15 and since there were 11 votes for A, that is the equation you should use.

What is 21x+6 solve for x

Answers

Answer:

[tex]x = - \frac{2}{7} [/tex]

Step-by-step explanation:

[tex]21x + 6 = 0 \\ 21x = - 6 \\ x = - \frac{2}{7} [/tex]

•you divide both sides by 21 to leave x alone

PLEASE HELP SKDKD KD

Answers

Answer:

A and B?

Step-by-step explanation:

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