A paper bag contains a mixture of 3 types of candy. there are 10 packs of fuzzy peaches, 7 packs of sour keys, and 3 packs of nerds. suppose a game is played in which a candy is randomly taken from the bag, replaced, and then a second candy is drawn from the bag. if you are allowed to keep the second candy only if it was the same type a the one that was drawn the first time, calculate the probability of each of the following: a) you will keep a pack of fuzzy peaches b) you will be able to keep any of the candy c) you will not be able to keep any of the candy

Answers

Answer 1

The probability that the person will be able to keep a pack of fuzzy peaches will be 0.25.

How to calculate the probability?

a. Based on the information given, the probability that the person will be able to keep a pack of fuzzy peaches will be:

= 10/(10 + 7 + 3) × 10/(10 + 7 + 3)

= 10/20 × 10/20

= 1/4

= 0.25

The probability that the person will be able to keep a pack of fuzzy peaches will be 0.25.

b. The probability to be able to keep any of the candy will be:

= (10/20 × 10/20) + (7/20 × 7/20) + (3/20 × 3/20)

= 100/400 + 49/400 + 9/400

= 158/400

= 0.395

The probability to be able to keep any of the candy will be 0.395.

c. The probability that you will not be able to keep any of the candy will be:

= (10/20 × 10/20) + (7/20 × 13/20) + (3/20 × 17/20)

= 100/400 + 91/400 + 51/400

= 242/400

= 0.605

The probability that you will not be able to keep any of the candy will be 0.605.

Learn more about probability on:

brainly.com/question/24756209

#SPJ1


Related Questions

How many solutions does this equation have?
10n + 8 = 3 + 10n

Answers

There are no values of x that make the equation true.
Answer: No Solution
The equation has 2 solutions: -0.8 and -0.3.

Explanation:

10n + 8 = 3 + 10n

10n+8 = 0 ............. (1)
3+10n = 0 ............. (2)

(1):
10n+8 = 0

10n = -8

n = -8/10 or -0.8

(2):
3+10n = 0

10n = -3

n = -3/10 or -0.3

Select all the points that are on the graph of the function defined by y = 2x + 3
a. (-4,3)
b. (-1,1)
C. (0,0)
d. (2,7)
e. (3,9)
f. (3,12)
g. (4.5, 12)​

Answers

Answer:

b, d, e, g are the points

The coordinates (-, 1), (2, 7), (3, 9) and (4.5, 12) are the points that are on the graph of the function. Therefore, the options B, D, E and G are the correct answers.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given function is y=2x+3.

A) Substitute (x, y)=(-4, 3) in y=2x+3, we get

3=2(-4)+3

3≠-5

B) Substitute (x, y)=(-1, 1) in y=2x+3, we get

1=2(-1)+3

1=1

C) Substitute (x, y)=(0, 0) in y=2x+3, we get

0≠3

D) Substitute (x, y)=(2, 7) in y=2x+3, we get

7=2(2)+3

7=7

E) Substitute (x, y)=(3, 9) in y=2x+3, we get

9=2(3)+3

9=9

F) Substitute (x, y)=(3 12) in y=2x+3, we get

12=2(3)+3

12≠9

G) Substitute (x, y)=(4.5, 12) in y=2x+3, we get

12=2(4.5)+3

12=12

Therefore, the options B, D, E and G are the correct answers.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ2

PLS HELP 5TH GRADE MATH GIVING BRAINLIEST TO CORRECT ANSWER

Answers

9514 1404 393

Answer:

  line A

Step-by-step explanation:

The "+6" in the equation is the y-intercept. That is the point where the graph crosses the y-axis. Line A has a y-intercept of 6, so that is the graph of the equation.

a circle with a circumference of 40.82 centimeters what is the area of the circle is 3.14 for pi​

Answers

You need two formulas for this:

C = πd or C = 2πr ( d = 2r ) Where C is circumference and d is diameter, r is radius

A = πr² Where A is area, and r is radius

First you get the diameter and radius by substituting the value of pi and circumference. With that, you can calculate the Area of the circle with the second formula. square² the radius then multiply it to 3.14. Remember that radius is half of diameter.

Answer:

[tex]\boxed {\boxed {\sf a=132.665 \ cm^2}}[/tex]

Step-by-step explanation:

1. Find the Radius

We are given the circumference of 40.82 centimeters. The formula for circumference is

[tex]c=\pi d[/tex]

The diameter is twice the radius, so we can also write this formula as:

[tex]c= \pi 2r[/tex]

Substitute 40.82 for the circumference and use 3.14 for pi.

[tex]40.82 \ cm= (3.14) 2r[/tex]

[tex]40.82=6.28 r[/tex]

6.82 and r are being multiplied. The inverse of multiplication is division. Divide both sides by 6.82

[tex]\frac{40.82 \ cm}{6.28}=\frac{6.28 r}{6.82}[/tex]

[tex]6.5 \ cm=r[/tex]

2. Calculate the Area

Now we can calculate the area using this formula:

[tex]a= \pi r^2[/tex]

The radius is 6.5 centimeters and we are using 3.14 for pi.

[tex]a= 3.14(6.5 \ cm)^2[/tex]

Solve the exponent.

(6.5 cm)²= 6.5 cm * 6.5 cm=42.45 cm²

[tex]a= 3.14 (42.45 \ cm^2)[/tex]

Multiply.

[tex]a=132.665 \ cm^2[/tex]

The area is 132.665 square centimeters.

Mariana wears her winter coat when the temperature is colder than -4^{\circ}\text{C}−4 ∘ Cminus, 4, degrees, start text, C, end text. Write an inequality that is true only for temperatures (t)(t)left parenthesis, t, right parenthesis at which Mariana wears her winter coat.

Answers

Answer:

T < - 4°C

Step-by-step explanation:

Given that Mariana wears her coat only when temperature is colder than - 4°C

Recall that lower temperature values indicate higher degree of coldness ;

Hence, Mariana will only wear her coat when temperature values are lesser than - 4°C ; this means that the temperature at that period is colder than - 4°C.

Hence, the inequality expression which is only true for temperatures when Mariana wears her coat can be written as :

Temperature = T

T < - 4°C

Answer:

t < -4

Step-by-step explanation:

On coordinate plane point located at (- 1, - 2) and point K located at (8, 10) What is the distance, in units from point to point

Answers

Answer:

The answer would be 17

Step-by-step explanation:

Answer:

i belive your answer would be 8.5 units if i did the math correctly, im very sorry if thats wrong.

I hope this helps! :)

Dakota arrived at school at 7:59 a.m. He left at 2:33 p.m. How long was Dakota at school

Answers

Answer:

6 hours and 34 minutes

Step-by-step explanation:

If we add 1 minute to 7:59 it is 8 which makes it easier to see the length of time. Then we add that 1 back in to find the exact amount of time Dakota was in school.

Brainliest please . . . .

Factor the expression. 48 + 16x

correct answers get brainiest and 5 stars, wrong answers reported

Answers

8(6+2x)

hope that helps^^

I believe the answer is 16(3+x) or 8(2+3x)

Henrik is buying a television it has a 38 inch screen (this is the diagonal measurement). If it is 18 inches tall, how wide is the screen?

Answers

Answer:

18 inches

Step-by-step explanation:

In geometry the shorter side is the width.

Therefore 18 inches is the width.

(I didn't really get this question)

2. The equation y = -7x - 5 and another equation have a solution of (-2, 9). Which of the
following could be the second equation?
Oy= *x + 10
O y=2x+5
Oy=-*+7
O y=3x-3

Answers

The answer should be y=3x-3 hope this helps!

5. Simplify the expression.
-3+5n+14n+7

Answers

19n+4 is the answer to your question
Your answer would be 19n+4

p is directly proportional to the square of q. it is known that p=12 for a certain value of q. find the value of p when q is doubled ​

Answers

Answer:   p = 48

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

Explanation:

We're told that "p is directly proportional to the square of q", which means that we have the equation

p = k*q^2

for some constant k

Replace p with 12 because we're also told that p = 12.

So we now have this equation

12 = k*q^2

which is the same as

kq^2 = 12

We'll use this later.

-----------------------

Let's go back to the original equation. We'll replace q with 2q to represent the value of q doubling

p = k*q^2

p = k*(2q)^2 ... replace q with 2q

p = k*4q^2

p = 4k*q^2

p = 4*(kq^2)

p = 4(12) ...... replace kq^2 with 12

p = 48

Therefore, if q is doubled, then p = 12 quadruples to p = 48.

what does the E stand for in 3.1536e+17

Answers

Answer:

well e stands for like what you multiply

Step-by-step explanation:

like well here is an example y=16e and you have to find what e stands for so E=

e is a natural logarithm. It’s like pi, it has a value associated with itself.

The approximate value for e is 2.71828

please help, first person with the right answer will be rewarded!!​

Answers

Suhana suhana suhana suha
step by step explanation:

Convert to equation: four times a number increased by 8 is 24 ​

Answers

Answer:

4*4

Step-by-step explanation:

since 4 times 4 is 16 then if you add 8 its 24

(1) Find values of x and y for which ABCD must be a parallelogram. The diagram is not to
scale.

Answers

Answer:

option D

Step-by-step explanation:

option D is the correct answer .

plz mark my answer as brainlist.

What is the inequality for -8x>48

Answers

Answer: x<−6

Step-by-step explanation:

1. Does each relation represent a function? Circle Yes or No. a. (2, 2), (2, 6), (3, 5), (1,8) Yes No b. (1, 2), (2, 3), (3, 4), (4, 5) Yes No c. (1, 4), (2, 6), (3, 6), (4, 8) Yes No d. (4, 3), (4, 4), (4, 5), (4, 6) Yes No​

Answers

A. No
B. Yes
C. Yes
D. No

17. Convert 37/6 to a mixed number.
A. 55/6
B. 6576
C. 6/6
D. 62/3

Answers

Answer:

6 1/6.

Step-by-step explanation:

That would be 6 1/6. Because 37/6 = 6 remainder 1, which is 1/6, so 6 1/6.

(cosec a + 1)*(1 - sin a)= cos a* cot a

Answers

Answer:

See proof below

Step-by-step explanation:

Given the equation, we are to prove that it is true

(cosec a + 1)*(1 - sin a)= cos a* cot a

From LHS

(cosec a + 1)*(1 - sin a)=

Expand

cosec a - cosecasina + 1 - sina

Since cosec a = 1/sina

1/sina - (1/sina)sina + 1 - sina

1/sina - 1 + 1 - sina

1/sin a - sina

Find the LCM

1-(sin^2a)/sina

cos^2a/sina

cosa * cosa/sina

cos a * cot a (which gives the RHS)

A new car is purchased for 24800 dollars. The value of the car depreciates at 12% per year. What is the y-intercept (starting value)? *

Answers

Answer:

$24,800

Step-by-step explanation:

that's how much the car costs at year 0

Answer:

Step-by-step explanation:

The starting value, y intercept, is just the initial value as it has not depreciated when time or x is zero.

The equation described is y=24800(0.88)^x

determine if f (x) = -x^3 + 4x^2 +7x - 6 is a odd or even degree

Answers

Answer:

Neither

Step-by-step explanation:

It has a y intercept, which is -6, which changes the whole graph, so its neither

Answer:

odd

Step-by-step explanation:

the leading term of the polynomial (the term in a polynomial which contains the highest power of the variable) is -x^3

the degree is 3, which is odd

Colleen's movie collection contains 8 movies, including 4 romance movies. What is the probability that a randomly selected movie will be a romance movie?

Answers

Answer: 1/2

Step-by-step explanation:

There are 8 movies in total.

4 of those movies are romance movies.

The probability of picking a romance movie is the proportion of romance movies to the total number of movies.

= Number of romance movies / Number of total movies

= 4 / 8

= 1 / 2

Answer:

1/2

Step-by-step explanation:

whoever knows how to solve this please help!​

Answers

Answer:

418ft²

Step-by-step explanation:

Find the surface area of both triangle shaped sides.

8 * 12 = 96

96 / 2 = 48 (surface area of one triangular side)

48 * 2 = 96

Find the surface area of both square shaped sides.

10 * 10 = 100

100 * 2 = 200

Find the surface area of the rectangular base side.

12 * 10 = 120

Add everything together.

96 + 200 + 120 = 418

Best of Luck!

A line passes through the point (-4,7) and has a slope of 3/2
Write an equation in slope-intercept form for this line.

Answers

Answer:

[tex]y=\frac{3}{2}x + 13[/tex]

Step-by-step explanation:

Given that [tex]x_{1}[/tex] = -4 and [tex]y_{1}[/tex] = 7 (from the point given) and m = [tex]\frac{3}{2}[/tex], we will use the equation [tex]y - y_{1} =m(x-x_{1})[/tex]. Therefore, when we substitute the given values to the equation:

y - y1 = m(x - x1)

y - 7 = 3/2(x - (-4))

y - 7 = 3/2(x + 4)

y - 7 = 3/2x + 6

y = 3/2x + 6 + 7

y = 3/2x + 13

y=3/2x+13 is the equation of line in slope-intercept form

What is slope intercept form of line?

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

Given that a line passes through the point (-4,7)

The slope of the line is 3/2.

We need to find the  equation in slope-intercept form for this line

Let us find the y intercept of line

7=3/2(-4)+b

7=-6+b

13=b

So slope intercept form is y=3/2x+13

Hence, y=3/2x+13 is the equation of line in slope-intercept form

To learn more on slope intercept form click:

https://brainly.com/question/9682526

#SPJ2

What's the circumference of a circle with a radius of 22 inches

no round

Answers

Answer:

22π

Step-by-step explanation:

Ok so the equation for the circumference of a circle is diameter * pi, so you have diameter = 22 and you can plug that into the equation:

diameter * pi --> 22 * pi = 22π

1
How many cubes with side lengths of
3
cm does it take to fill the prism?
CON
cm
coln
cm
1 cm

Answers

Answer:

can you explain the question?

Step-by-step explanation:

solve for the missing side,x

Answers

Answer:

7.44

Step-by-step explanation:

With reference angle 28°

perpendicular (p) = x

base (b) = 14 cm

Now

Tan 28° = p / b

0.532 = x / 14

x = 7.44

Hope it will help :)

Answer:

Step-by-step explanation:

Alternate interior and alternate exterior angles can be congruent

True or false

Plss answer

Answers

Answer:

it's false

Step-by-step explanation:

hope it's correct

Find the slope of any line parallel to the lien through the given points (3,2),(3,1)

Answers

Answer:

m = undefined

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Parallel lines have the same slope but different y-interceptsAn undefined line is a vertical lineSlope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (3, 2)

Point (3, 1)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                            [tex]\displaystyle m=\frac{1-2}{3-3}[/tex][Fraction] Subtract:                                                                                         [tex]\displaystyle m=\frac{-1}{0}[/tex]Simplify:                                                                                                          m = undefined
Other Questions
what are the four commonly cited factors that explain why african americans and latinos have lower educational attainment? write a Python program with One main function and Two sub-functions that display text strings.Step 1.Write a function called indent( . ) that indents a string by a certain number of spaces.The function:accepts 2 arguments: a string and the number of spaces.returns nothing (no output)prints the string after printing the specified number of spaces.Make sure to have a docstring to describe the function; please see requirement below.Test your function by running the script and then type the following test cases:>>> indent( "Hello", 0 )Hello>>> indent( "Hi", 5 )HiStep 2.Write a function called center( . ) that centers a string with respect to the screen width. The screen width is how many characters can fit across the screen. You can assume that the string length will be less than the screen width.The function:accepts 2 arguments: a text string and a screen widthprints the text string in the center of the screen. This should be done by calling the indent() function, gotten from step 1 above, to indent by the appropriate number of spaces; i.e. composition.returns the number of indentation spacesMake sure to have a docstring to describe the function; please see requirement below.Step 3.Write a main function called read_n_center_text(), or another name you deem appropriate, that interacts with the user to print text strings that are centered.This main function:prompts the user for a text string and then prompts the user for a screen widthcalls the center( . ) function, with the keyboard inputs as argumentsreceive the return value from center( . ) and prints the number of indentationHere's an example output:Type Text String: my lucky number is 888Enter Screen Width: 80my lucky number is 888Indented by 29 white spaces consider the following firms short run supply curves. what of the following is true regarding production in the short run?a.The firm is breaking even so is indifferent between shutting down or producing.b.The firm is profitable and should continue to produce.c.The firm should continue to produce even though they are making a loss.d.The firm should shut down because they are making a loss. During a laboratory experiment, a 3. 81-gram sample of NaHCO3 was thermally decomposed. In this experiment, carbon dioxide and water vapors escape and are combined to form carbonic acid. After decomposition, the sample weighed 2. 86 grams. Calculate the percentage yield of carbonic acid for the reaction. Describe the calculation process in detail. (10 points) NaHCO3 Na2CO3 + H2CO3 Currently, most kinship findings support a __________ role for heredity in __________. Group of answer choices moderate; intelligence strong; intelligence weak; personality strong; anxiety Which transitional word or phrase would best be used to show a shift in location? an inclined plane rises to a height of 2m over a distance of 6m.calculate If you were to sticka needle laterallythrough theabdomen, in whatlayers would youenter fromsuperficial to deep? A 18 kg child slides down a 4.0 m-high playground slide. She starts from rest, and her speed at the bottom is 2.8 m/s. What is the change in the thermal energy of the slide and the seat of her pants? 2. A random variable is normally distributed with a mean of u = 50 and a standard deviation of a = 5. a. Sketch a normal curve for the probability density function. Label the horizontal axis with values of 35, 40, 45,50, 55, 60, and 65. b. What is the probability that the random variable will assume a value between 45 and 55? Empirical Rule. c. What is the probability that the random variable will assume a value between 40 and 60? Empirical Rule. d. What is the probability that the random variable will assume a value between 35 and 65? Empirical Rule. e. What is the probability that the random variable will assume a value 60 or more?f. What is the probability that the random variable will assume a value between 40 and 55?g. What is the probability that the random variable will assume a value between 35 and 40? consider the following reaction: 2 PbO (s) 2 SO2 (g)2 PbS (s) +30 (g) 7 of 7 can be calculated from ?62 values that ?G m" ressures of the gases are as follows: 780.8 kJ Calculate dG at 298 K when the SO2: 120 atm o 3.1 x 10 atm a. +916 kJ b. +646 k c. +732 k d. +722 kJ e. -916 kJ The arrows in the diagram show the direction of the magnetic fields of the atoms that make up a certain material. Which object could the diagram represent ? A. A steel nail B. A refrigerator magnet C. A wooden log D. An iron bar In C++, please program this. calculate the relative frequency p(e) using the given information. n = 400, fr(e) = 200 Ch-Sup01 Determine 60.H7/p6a. If this fit specification is shaft based or hole based. b. If this is a clearance, transitional or interference fit. c. Using ASME B4.2, find the hole and shaft sizes with upper and lower limits. the volume of oxygen adjusted to stp using the combined gas law Consider the interval 0xL. What is the second derivative, with respect to x, of the wave function n(x) in this interval? Express your answer in terms of n, x, L, and C as needed.d2dx2n(x) = Estaturas de madres e hijas se obtuvo una muestra de ochos pares de madres e hijas, y se midieron sus estaturas (en pulgadas). El coeficiente de correlacin lineal es 0. 693 y la ecuacin de regresin es Y = 69. 0 - 0. 0849x, donde x representa la estatura de la madre. La estatura media de las madres es de 63. 1 pulgadas, y la estatura media de las hijas es de 63. 3pulgadas. Calcule la mejor estatura predicha de una hija, si la madre tiene una estatura de 60 pulgadas The orders made by the market are executed at any price, whereas on the other hand the limit order can never be executed if the limit price is never hit. Thus, it is not possible that marker orders and limit orders both possess uncertainty regarding execution and no uncertainty regarding price. Design a sorting algorithm whose time complexity is as follows:(a) when the input happens to be already non-decreasing, the algorithm takes only O(n) time;(b) likewise, when the input happens to be already non-increasing (i.e. reverse-sorted), the algorithm takes only O(n) time;(c) but in any other situation, the algorithm may take O(n^2) time.