You have a bag of gummy worms with 5 green, 3 blue, 6 red, and 2 orange. Which expression represents the probability that you will reach into the bag and pull a red worm, eat it, and then pull a green worm?​

Answers

Answer 1

Answer:

[tex]\frac{1}{8}[/tex] I think

Step-by-step explanation:

you have a bag witha a total of 16 gummy worms right? 6 out of 16 of them are red, 5 out of 16 are green.

so you pull out a red one and eat it. the probabilty of you doing that is [tex]\frac{6}{16}[/tex] . keep it in mind that you ate a gummy worm.after enjoying that gummy worm you decide to take another one, but this time, it's green. you know you just ate one right, but you did not replace it now did you? what that means is out of the 16 gummies you had, you are now left with 15 (because you ate one).now you are left with 15 gummy worms. you take a green one out of the packet. the probabilty of you doing that is [tex]\frac{5}{15}[/tex].

now that you've got your probabilities all sorted, now it's time to use some basic probability principles. if you ever come across a probability question with the word and, you need to know automatically that you are multiplying. if you ever come across the word or, you are adding. it's always gonna be like this.

so when you multiply your two probabilities, you get the answer [tex]\frac{1}{8}[/tex]

whenever you're dealing with probability, make sure you're aware of things that are being taken. check whether they're being replaced or not. the way I attempted at working it out is how the other probability questions involving replacements are solved, no matter what it is.

I really hope you found this helpful (that is if all I said is correct) :)


Related Questions

Help with this question

Answers

Answer:

b = 5√3

Step-by-step explanation:

I would honestly just use pythag, but I'll use trig:

tanθ = opposite/adjacent

tan(30°) = 5/b

btan(30°) = 5

b = 5/tan(30°)

b = 5/(√3/3) = 15/√3

b = 15/√3 · (√3/√3) = 15√3/3

b = 5/√3

Check with pythag:

a² + b² = c²

5² + 5√3² = 10²

25 + 25(3) = 100

25 + 75 = 100  ✅

I hope this helps!

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

x = [tex]\sqrt{165}[/tex]

Step-by-step explanation:

Pythagorean Theorm: a^2 + b^2 = c^2

a^2 + b^2 = c^2

14^2 + x^2 = 19^2

196 + x^2 = 361

x^2 = 165

x = [tex]\sqrt{165}[/tex]

K,
C^2= a^2+b^2
18^2=a^2+14^2
324=a^2+196
-196
A^2=128
Square root of 128= 11.314

Determine the period.

Answers

Check the picture below.

Answer:

The Answer is 4

Step-by-step explanation:

Right on Acellus

have a great day!

:)

The distance between 2 cities is 7200 miles. How long will it take a plan that flies 600 miles/h to travel between the 2 cities?

Answers

it would take 12 hours because 600x=7200 and 7200/600=12 so x=12

A cylinder can hold three golf balls one directly above the other. If the radius of a golf ball is 2cm, what volume of the can is occupied by air outside the golf balls?

Answers

50.27 cm cubed

Explanation:

First you find the volume of the can with the formula
V=Pie(r^2)(h)
Height comes from multiplying the golf ball’s diameter (radius times 2) by 3 because they are spheres stacked on each other.

Then you find the volume of one golf ball with the formula
V=4/3(pie)(r^3)
Then multiply that answer by 3 since there are three golf balls.

Once you get those two answers, subtract the volume of the cylinder by the volume of the golf balls and you will get the answer for the space in between the cylinder and golf balls.

MAPS A map of the eastern United States has a scale
where 3 inches = 25 miles. If the distance on the map
between Columbia, South Carolina, and Charlotte, North
Carolina, is 11.5 inches what is the actual distance
between the cities?

Answers

Answer:

[tex]95\frac{5}6{[/tex] miles

Step-by-step explanation:

First, find base. 1 inch = [tex]\frac{25}{3}[/tex] miles.

multiply the map distance by base.

[tex]11.5\cdot\frac{25}{3} = 95.8\overline{3}=95\frac{5}{6}[/tex] miles

Find x helpppppppppppp​

Answers

[tex] |2x - 1| = | - x - 2| [/tex]

Thus ;

[tex]2x - 1 = - x - 2[/tex]

Add both sides x

[tex]2x + x - 1 = - x + x - 2[/tex]

[tex]3x - 1 = - 2[/tex]

Add both sides 1

[tex]3x - 1 + 1 = - 2 + 1[/tex]

[tex]3x = - 1[/tex]

Divide both sides by 3

[tex] \frac{3x}{3} = \frac{ - 1}{3} \\ [/tex]

[tex]x = - \frac{1}{3} \\ [/tex]

Or

[tex]2x - 1 = - ( - x - 2)[/tex]

[tex]2x - 1 = x + 2[/tex]

Subtract both sides x

[tex]2x - x - 1 = x - x + 2[/tex]

[tex]x - 1 = 2[/tex]

Add both sides 1

[tex]x - 1 + 1 = 2 + 1[/tex]

[tex]x = 3[/tex]

There u go ...

When using the order of operations to simplify (7 + 3) * 4 - 1 + (6 + 8), which operation should be performed first?

Answers

Answer:

addition because it's in parentheses and following PEMDAS parentheses comes first so you do addition first.  

I hope you find this helpful :D

Answer:

(7+3)

After that you do (6+8)

Explanation:

Use PEMDAS

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

What was the most number of minutes someone took to eat breakfast? (type number only) *
.
0 1 2 3 4 5 6 7 8 9 10 11 12
Minutes To Eat Breakfast

Answers

I think it 10 minutes

Dinasur is spelled Dinasur change my mind

Answers

Answer:

I cannot change what is the truth

Step-by-step explanation:

attempt to change the truth would resulted in dinaur catastrophe

Solve for x
3x – 2 = 2x – 4

Answers

Answer: x= -2

Step-by-step explanation:

3x – 2 = 2x – 43x-2x= -4+2x= -2

Determine the solution(s) of the equation x^2 = 36

Answers

hello!

In order to solve this equation, we need to take the square root of both sides (in order to get rid of the square and isolate x, because we are asked to determine the value(s) of x)

x²=36

√x²=√36

x=6

Is this the only solution?

A negative times a negative is a positive...

-6 is another solution of this equation! :)

Hence, the answers are:-

[tex]\boxed{\boxed{\bold{x=6; ~x=-6}}}[/tex]

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Hello! My name's Cupcake, And I will be helping you today! :D

In order to solve this equation, we need to take the square root of both sides.

Why? Because we need to isolate x. Our goal is:- To find the value of x.

So in order to get rid of the square and find the value of x, we take the square root of both sides:-

x^2=36

x=6, x=-6 (solutions)

Hope it helps!

Any queries - comment !

2 points
15. Write the ratios for sin X and cos X. You can indicate v by writing "sq.
root" or using alt 251 on your keyboard. You will have two answers. sin X =
and cos X =

Answers

2 points
15. Write the ratios for sin X and cos X. You can indicate v by writing "sq.
root" or using alt 251 on your keyboard. You will have two answers. sin X =
and cos X =
please elaborate on your question

Makayla leans a 18-foot ladder against a wall so that it forms an angle of 64 degrees with the ground. What’s the horizontal distance between the base of the ladder and the wall? Round your answer to the nearest tenth of a foot if necessary.

Please help me, I don’t understand the problem!

Answers

The ladder and the outside wall form a right triangle

The distance from the base of the ladder is 7.89 feet

How to determine the distance to the base of the ladder?

The given parameters are:

Length (L) = 18 feet

Angle of elevation (θ) = 64 degrees

The distance (D) from the base of the ladder is calculated using the following cosine ratio

cos(θ) = D/L

So, we have:

cos(64) = D/18

Make L the subject

D = 18 * cos(64)

Evaluate the product

D = 7.89

Hence, the distance from the base of the ladder is 7.89 feet

Read more about right triangles at:

https://brainly.com/question/2437195

Triangle DEF has side lengths d= 7.1 and f= 26.5. The measure of angle E is 13°. What is the length of side e? 31.9 19.6 4.7 162.3

Answers

Answer:

19.6

Step-by-step explanation:

According to the

Cosine Theorem

e² = d² + f² - 2dfcos /_E

°Cos 13° = 0.974

e² = (7.1) 2 + (26.5) 2-2 × 26 = 5 × 7.1 × 0.974

=752.66 - 366.516

= 386.14

e = 386.14 = 19.6

Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 34 liters per minute. There are 400
liters in the pond to start.
Let W represent the total amount of water in the pond (in liters), and let T represent the total number of minutes that water has been
added. Write an equation relating W to T. Then use this equation to find the total amount of water after 16 minutes.
Equation:
D=0
X
Total amount of water after 16 minutes: liters
5
?

Answers

Multiply liters per minute by number of minutes and add that to the starting amount.


W = 34t + 400


now replace t with 16 and solve:

W = 34(16) = 400

W = 544 + 400

W = 944

After 16 minutes there are 944 liters in the pond

Help help help help math math

Answers

Answer:

7

Step-by-step explanation:

Parenthesis

Exponents

Multiplication

Division

Addition

Subtractioin

Evaluate: 2² * 3 - 5

2² * 3 - 5 <== exponents first

4 * 3 - 5 <== multiplicaiton second

12 - 5 <== subtraction last

7 <== final answer

Hope this helps!

Answer:

7

Solution:Let's evaluate this expression.Please notice the hint: "Remember the word PEMDAS".Here's what PEMDAS stands for.P -> ParenthesesE -> ExponentsM -> MultiplicationD -> DivisionA -> AdditionWe do not have parentheses here, but we do have exponents ([tex]2^2[/tex])[tex]2^2[/tex] equals 2×2, or 4.Right now the expression is equivalent to4×3-5According to PEMDAS, the next operation is M, or Multiplication:12-5And finally, subtract:7

Hope it helps.

Do comment if you have any query.

A movie is 9.75 seconds long.

Describe a situation related to this movie that could be a represented by the expression 9.75 / 2.5

Answers

Answer:

Step-by-step explanation: Maybe you could try:

A movie is 9.75 seconds long and each 2.5 seconds there is an ad so how many ads are there during the movie?

Which equation is true when x = 5? A 8x = 80 B x + 4 = 9 C 10 ÷ x = 5 D x − 6= 1

Answers

Answer:

B

Step-by-step explanation:

A. 8 * x = 80

8 * 5 = 40. 40 is not 80, so it doesn't work.

B. x + 4 = 9

5 + 4 = 9. This works.

C. 10 ÷ x = 5

10 ÷ 5 = 2. 5 is not 2, so it doesn't work.

D. x - 6 = 1

5 - 6 = -1. 1 is not -1, so it doesn't work.

help please!!!!!!!!!

Answers

Answer:

Alright, so, the ratio is 2:5

In total, there are 7

So, 56/7=8

8x2=16

8x5=40

So after moving 2 students,

14 on the van, 42 on the bus

(you can use the true/false now)

Answer:

1. False

2. True

3. True

4. False

Step-by-step explanation:

Going to the museum:

Total: 56 students

van:bus = 2:5

2x + 5x = 56

7x = 56

x = 8

2x = 16

5x = 40

16 students go by van

40 students go by bus

40 - 16 = 24

Going back to school:

14 students go by van

42 students go by bus

van:bus = 14/42 = 1:3

42 - 14 = 28

Questions:

1. False

2. True

3. True

4. False

Evaluate (sqrt(2+i))^8

Answers

Step-by-step explanation:

[tex]( \sqrt{2 + i} ) {}^{8} [/tex]

Notice that

[tex] \sqrt{a} = a {}^{ \frac{1}{2} } [/tex]

So

•** Plss help me **•

Answers

Answer:

30

Step-by-step explanation:

You can use the triangle area theorem-

15x4(/2)=30

In which situation is it BETTER to use a credit card instead of a debit card?
Jackson likes earning rewards on his purchases.
Jane prefers to shop locally rather than online.
Blake makes automatic transfers weekly to his checking account.
) Jena's tight budget requires thinking carefully about each purchase.

Answers

Answer: Choice A

Jackson likes earning rewards on his purchases.

=========================================================

Explanation:

Debit cards do not give out reward points for using them. Credit cards on the other hand do offer such a feature. So if Jackson wants reward points, he'll need to use a credit card. This is why choice A is the answer.

Choice B is ruled out because shopping locally could involve either type of card, or simply cash, depending the merchant's payment preferences. There's no incentive to use a credit card here.

Choice C is ruled out because a debit card is tied to a checking account. Blake making weekly transfers to this account seems to heavily imply he uses it a lot; therefore, he's likely using a debit card here.

Choice D is ruled out because Jena being careful with money would likely use a debit card. With debit cards, you use only the money in the checking account. No money is borrowed like with a credit card. This means there's no worry about going into debt when using a debit card.

find the range of the data.

133,117,152,127,168,146,174

Answers

given:

133, 117, 152, 127, 168, 146, 174.

to find:

range.

solution:

first arrange the numbers in order, which gives you:

= 117, 127, 133, 146, 152, 168, 174

then subtract the lowest number from the highest, which gives you:

174 - 117

= 57

range= 57.

One side of a rectangle is 7 inches longer than another side. If the longer side of this rectangle decreases by 3 inches, and the shorter side increases by 2 inches, the area of the new rectangle equals the area of the original rectangle. Find the dimensions of the original rectangle

Answers

Answer:

Length = 8+7 = 15

Width = 8

Step-by-step explanation

                      Length = x+7 , x+4

Width = x ,x+2

(x+7) x = (x+4)( x+2)

expand and simplify x =8

if p and q are two propositions,use truth table technique to show that a) (p=q) ^ (q=p)= p=q and b) [(p=q) ^ p]=q is a Tautology​

Answers

Answer:

  see attached

Step-by-step explanation:

The truth table technique shows the first proposition is True. However, the second proposition cannot be shown to be a tautology, because it isn't true.

__

a.

The "equals" relation is commutative: (a=b) ≡ (b=a), hence the expression ...

  (p=q)∧(q=p)

is equivalent to

  (p=q)∧(p=q)

We know that the And of p with itself is just p, so that fact ensures the truth of ...

  (p=q)∧(p=q) = (p=q)

Hence

  (p=q)∧(q=p) = (p=q)

The top truth table in the attached shows the final comparison of the two expressions is true for all values of p and q.

__

b.

The attached truth table shows that the given relation is not a tautology.

Can someone help please

Answers

Answer:

Infinitely many solutions

Step-by-step explanation:

To solve for x, start by expanding the left-hand side of the equation.

2(x +5)= 2x +10

2(x) +2(5)= 2x +10

2x +10= 2x +10

Subtracting 10 from both sides:

2x= 2x

Divide both sides by 2:

x= x

Thus, x has infinitely many solutions.

1. Solve the following equations for x:
a. X - 9 = -21
b. 10 + x = 112
C. 14 = x - 30
d. 12 - x = 3

Answers

Answer:

A. X=-12B. X=102C. X=44D. X=15

Step-by-step explanation:

Isolate the term of x from one side of the equation.

Part A. x-9=-21

First, add by 9 from both sides.

x-9+9=-21+9

Solve.

-21+9=-12

X=-12

Part B. 10+x=112

Switch sides.

x+10=112

Subtract by 10 from both sides.

x+10-10=112-10

Solve.

112-10=102

X=102

Part C. 14=x-30

Switch sides.

x-30=14

Add by 30 from both sides.

x-30+30=14+30

Solve.

x=44

Part D. 12-x=3

Switch sides.

x-12=3

Add by 12 from both sides.

x-12+12=3+12

Solve.

Add the numbers from left to right.

3+12=15

x=15

Therefore, the correct answer is part A: x=-12, part B: x=102, part C: x=44, and part D: x=15.

I hope this helps you! Let me know if my answer is wrong or not.

PLEASE HELP ASAP!! 30 POINTSSSS!!!!! EXPLANATION PLEASEEEEE, IM BEGGING PLEASE DONT JUST PUT AN ANSWER

Solve for 'x' in both of the following problems.

Answers

Answer:

x = 73° , x = 7

Step-by-step explanation:

(1)

the measure of an inscribed angle is half the measure of its intercepted arc.

∠ B = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex] × 128° = 64°

the sum of the 3 angles in Δ ABC = 180°

then

x = 180° - (64 + 43)° = 180° - 107° = 73°

(2)

2 chords iintersecting in a circle, then

the products of the parts of one chord is equal to the product of the parts of the other chord, that is

KH × HI = JH × HG ( substitute values )

10x = 14 × 5 = 70 ( divide both sides by 10 )

x = 7

Find the unit vector in the direction of (6, 7).
Write your answer in component form.
Do not approximate any numbers in your answer.

Answers

Answer:

<(6/√85),(7/√85>

Step-by-step explanation:

Let vector o = 6i + 7j,

The magnitude, | o | = √(6²+7²) = √85

Unit vector, ô = (6i + 7j)/√85

= (6/√85)i + (7/√85)j

In component form, ô = <(6/√85),(7/√85>

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