A box contains 20 red balls, 25 white balls, and 55 blue balls. Suppose that 10 balls are selected at random one at a time with replacement; that is, each selected ball is replaced in the box before the next selection is made. Determine the probability that at least one color will be missing from the 10 selected balls.

Answers

Answer 1

Answer:

0.164 = 16.4% probability that at least one color will be missing from the 10 selected balls.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Determine the probability that at least one color will be missing from the 10 selected balls.

Red missing:

Each time, there are 55 + 25 = 80 non-red balls, out of 100. So, in each of the 10 trials, 80% = 0.8 probability of not picking a red ball. The probability that no red ball is picked is given by:

(0.8)^10 = 0.1074

White missing:

55 + 20 = 75 non-white balls, out of 100, in each trial. The probability that no white ball is picked is given by:

(0.75)^10 = 0.0563

Blue missing:

45 non-blue balls, out of 100. The probability that no blue ball is picked is given by:

(0.45)^10 = 0.0003

Total:

0.1074 + 0.0563 + 0.0003 = 0.164

0.164 = 16.4% probability that at least one color will be missing from the 10 selected balls.


Related Questions

equation.
1. h - 9= 2h - 1

Answers

H= -8. H-2h= 9-1; -h=8; h= -8
h-9=2h-1
Add 9 to both sides
h-9+9=2h-1+9
h=2h+8
Subtract 2h from both sides
h-2h=2h+8-2h
-h=8
Divide both sides by-1
-h/-1=8/-1
h=-8 is your answer

What is the difference between qualitative and quantitative data

Answers

Answer: D) Qualitative data is not collected by instruments, it is just observations

Quantitative data deals with numeric values, which is collected by instruments usually. For example, if you're weighing various rocks, then each numeric weight value is part of the quantitative data set. The color of each rock would be qualitative data as you simply look at the rocks and record the color. It will depend on what question you're trying to answer as to whether quantitative data or qualitative data is more useful. Sometimes you may need both types.

el resultado de 20+(-60)-40-20es​

Answers

Answer:

140 by the number like I know this

Step-by-step explanation:

I did the test

Help needed with this

Answers

Answer:

Choice 3 is not a function.

For a set of coordinates to be a function, there must be exactly one y-value for every x-value.

For choice 3, we see that the x-coordinate of "1" has two y-values, 3, and 7.

This means, that choice 3 is NOT a function.

Let me know if this helps!

A 26-year-old male buys 100/300/100 liability insurance, collision insurance with a $100 deductible, and comprehensive insurance with a $250 deductible What is his total annual premium? Liability Insurance Type Bodily injury Amount Premium 25/50 $220 50/100 $310 100/300 $450 25 $175 50 $245 100 $375 Property damage Collision & Comprehensive Premiums Deductible Collision Comprehensive $215 $129 $250 $185 $102 $500 $148 $85 $100 Rating Factor a Male 3.0 Female 1.45 Age 17-20 21-24 25-29 1.2 215 1.55 1.0 $1142.00 $1765.45 $1770.10 $1785.25​

Answers

Correct me if I’m wrong, I believe you have to add all of those numbers together. Then divide after and plug in those remaining digits

Answer: $1770.10

Step-by-step explanation:

Step 1.

450+ 375= 825

Step 2.

825+ 215+ 102= 1142

Step 3.

1142 × 1.55= 1770.1

Can somebody please answer the question giving brainliest!

Answers

Answer:

A counter clockwise

Step-by-step explanation:

What is the y-intercept for y = 4x + 7

Answers

Answer: -7 is the y intercept

Step-by-step explanation:

que pasa si un objeto imparable choca con uno inabobible​

Answers

English Answer: No object can resist an irresistible force. No force can move an immovable object. So if an immovable object meets an irresistible force it will move and not move.English:

Spanish Answer: Ningún objeto puede resistir una fuerza irresistible. Ninguna fuerza puede mover un objeto inamovible. Entonces, si un objeto inamovible se encuentra con una fuerza irresistible, se moverá y no se moverá.

Step-by-step explanation:

¿Qué pasaría si una fuerza imparable chocara contra un objeto inamovible? Las respuestas comunes a esta paradoja recurren a la lógica y a la semántica.

Lógica: Si existe una cosa tal como una fuerza imparable, entonces no puede existir un objeto inamovible y viceversa. Es lógicamente imposible la existencia de los objetos (una fuerza imparable y un objeto inamovible) en un mismo universo al mismo tiempo.

Semántica: Si existe una cosa tal como una fuerza imparable, entonces hablar de un objeto inamovible no tendría sentido en ese contexto y viceversa, con lo cual el asunto vendría a ser algo así como preguntar, por ejemplo, por un triángulo de cuatro lados.

What is the opposite of this integer: 180,000

Answers

Answer:

-180000

Step-by-step explanation:

△XYZ is similar to △XVW. Enter the congruence statements that must be true.

The congruence statements that must be true are

Answers

Answer:

angle X is congruent to angle X

angle Y is congruent to angle V

angle Z is congruent to angle W

Step-by-step explanation:

-Ms. Gorman says, “Then victory won’t lie in the blade, but in all the bridges we’ve made.” What does she mean by ‘bridges?’
please help

Answers

Answer:

OH I love Amanda Gorman!

Step-by-step explanation:

Find the area (in square inches) of the parallelogram.

Answers

864 inches²

Step-by-step explanation:

2 ft = 24 inch

3 ft = 36 inch

area of parellogram = base × height = 24 × 36 = 864 inches²

MARK ME AS BRAINLISTPLZ FOLLOW ME

Would the mass of a mouse more likely be 150 gram or 150 kilograms

Answers

Answer:

150g most likely

Step-by-step explanation:

kg are a thousand times more than a gram

HELP!!! Bill paid $45in tax on a laptop that cost $500. What percent sales tax did Bill pay?

Answers

Answer:

He paid 9% in sales tax

Step-by-step explanation:

6(3y + 2) + 8(4y + 3) + 6y =

Answers

6(3y+2) + 8(4y+3) + 6y =

Distribute:

18y + 12 + 32y + 24 + 6y =

Combine like terms:

56y + 36

The branch manager of an outlet (Store 1) of a nationwide

chain of pet supply stores wants to study characteristics of her

customers. In particular, she decides to focus on two variables: the

amount of money spent by customers and whether the customers

own only one dog, only one cat, or more than one dog and/or cat.

The results from a sample of 70 customers are as follows:

Amount of money spent: X = +21.34, S = +9.22.
Thirty-seven customers own only a dog.
Twenty-six customers own only a cat.
Seven customers own more than one dog and/or cat.
Construct a 95% confidence interval estimate for the
population mean amount spent in the pet supply store.

Construct a 90% confidence interval estimate for the population proportion of customers who own only a cat.
The branch manager of another outlet (Store 2) wishes to conduct

a similar survey in his store. The manager does not have access to

the information generated by the manager of Store 1. Answer the

following questions:

c. What sample size is needed to have 95% confidence of

estimating the population mean amount spent in this store

to within { +1.50 if the standard deviation is estimated to

be $10?

d. How many customers need to be selected to have 90% confidence of estimating the population proportion of customers who own only a cat to within {0.045?

e. Based on your answers to (c) and (d), how large a sample should the manager take?

Answers

Answer:

1. ( 19.1416, 23.5384,)

2. (0.276348, 0.46651)

3. the sample size = 170.73 approximately 171

4. sample size = 334.07 approximately 334

5. sample of 334 should be taken by manager

Step-by-step explanation:

mean = bar x = 21.34 dollars

size of sample n = 70

standard deviation of sample = 9.22

we use t distribution as the population standard deviation is not known.

95% Confidence interval

1-α = 0.95

α = 0.05

degree of freedom = 70-1 = 69

α/2 = 0.025

using the t distribution tsble,

= 1.9949

confidence interval = [tex]21.34+-1.9949*[\frac{9.22}{sqrt(70)}] \\[/tex]

= 21.34 +- (1.9949*1.10200)

= 21.34 + 2.1984, 21.34 - 2.1984

= (23.5384, 19.1416)

the confidence interval of the mean amount spent at the supply store can be written as 19.1416<u<23.5384

2. sixe of those who only have a cat

p = 26/70 = 0.371429

at 90 % confidence interval,

1-α = 0.90

α = 0.10

we use the z table here

z(0.10/2) = Z(0.05)

= 1.645

[tex]0.371429+-1.645\sqrt} \frac{0.371429(1-0.371429)}{70}[/tex]

= 0.371429 +-( 1.645 x 0.0578)

= 0.371429 + 0.095081, 0.371429 - 0.095081

= (0.276348, 0.46651)

3. sd = 10$

margin of erro,r e = 1.50$

α = 0.05

using z table

α/2 = Z0.025

= 1.96

sample size = 1.96² * 10² / 1.50²

= 3.8416 * 100/ 2.25

= 170.73

the sample size is approximately 171

d. we have 0.5 as sample proportion now

margin of error = 0.045

α = 0.10

Zα/2 = 0.05

= 1.645

sample size = 1.645²x0.5(1-0.5) / 0.045²

= 0.676506/0.002025

= 334. 07

sample size = 334

5.  sample of 334 should be taken by manager

PLEASE HELP FAST
2. Which of the following is the difference of two squares?
49m2 + 81n?
9a? - 466
99
36h
2x2 – 6y?

Answers

Every difference of squares problem can be factored as follows: a2 – b2 = (a + b)(a – b) or (a – b)(a + b). So, all you need to do to factor these types of problems is to determine what numbers squares will produce the desired results.

which explains how to find the quotient of the division below -3 1/3 / 4/9​

Answers

KCF method
keep the first one the same, change the sign to multiplication, and flip the last fraction to its reciprocal.
(also change the first fraction to an improper fraction)
-10/3 x 9/4 = -90/12
-7.5 or -7 1/2

if a trader make a loss of 10% when he sells a watch for 15,300
a what is the cost price
b how much would he gain if he made a profit of 6%

Answers

Answer:

A. original price: 16830

B. Profit gain: 918

10%=1530

6%=918

#gamer

Find the area of the figure.

(Simplify Your Answer)

Answers

Answer:

7550 meter square

area of rectangle = Length x breadth

= 130 x 20

= 2600 meter square

area of triangle = 1/2 x base x height

1/2 x (130-20)m x (130-40)m

1/2 x 110m x 90m

55 x 90

4950 metre square

area of rectangle + area of triangle

4950 + 2600

7550 meter square

PLEASE PLEASE HELP 30 POINTS AND WILL GIVE BRAINIEST

what is the measure of angle ABC
what is the measure of angle CBE
what is the measure of angle DBE
what is the measure of angle ABD ​

Answers

Answer:

Please read down below, thanks

Step-by-step explanation:

Vertical angles are always equal.

Because the two expression we have are equal, we can make the equation:

4x + 2 = 5x - 13

Let's move x to one side and the constants to the other side.

Subtract both sides by 4x and add both sides by 13

15 = x

Now we know x = 15, we can solve for the angles.

∠ABC is 4x + 2 so: 4(15) + 2 = 47 degrees

∠CBE added up with ∠ABC is 180 degrees so: 180 - 47 = 133 degrees

∠DBE is the same as ∠ABC so: 47 degrees

∠ABD is also the same as ∠CBE so: 133 degrees

DASAROLLA:

a) (x+3) (x+5)=

b) (x+4) (x-5)=​

Answers

Answer:

a)[tex]x^{2}[/tex]+8x+15

b)[tex]x^{2}[/tex]-x-20

Step-by-step explanation:

a) (x+3)(x+5)

a)[tex]x^{2}[/tex]+5x+3x+15

a)[tex]x^{2}[/tex]+8x+15

b) (x+4)(x-5)

b) [tex]x^{2}[/tex]-5x+4x-20

b)[tex]x^{2}[/tex]-x-20

HELPPPPP!!!!!!!!!!!!!!

Answers

Answer

0.75 or 3/4 is the answer (degree)

I just solved for the angles and use a graphing calculator to find the din and cosine values and multiply them

0.75 or is the answer for this question

Solve for x 4(2x+3)
I’ll mark brainlyest

Answers

Answer:

=2x5+3x4 plus brainliest please

Step-by-step explanation:

=(x4)(2x+3)

=(x4)(2x)+(x4)(3)

=2x5+3x4

Answer:

You cant solve it because its an expression but below is the expression simplified if you put the equal thing I will edit it to make it correct

Step-by-step explanation:

4 x 2x = 8x

4 x 3 = 12

8x + 12

The population of a school will increase by 3% per year. In 2005, the population was 127 students. Use a graph to find when the population will be
Enter the correct year in the box.

Answers

Using an exponential function, it is found that the population will be of 350 students in the year of 2039, 34.3 years after 2005.

What is an exponential function?

An increasing exponential function is modeled according to the rule presented as follows:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which the parameters of the equation is defined as follows:

A(0) is the initial amount of the function.r is the growth rate of the function, as a decimal.

In the context of this problem, the values of the parameters are given as follows:

A(0) = 127, which is the number of students in the reference year of 2005.r = 0.03, which is the yearly increase rate.

Hence the equation for the number of students in t years after 2005 is given as follows:

[tex]A(t) = 127(1.03)^t[/tex]

The number will be of 350 students when A(t) = 350, hence:

[tex]A(t) = 127(1.03)^t[/tex]

[tex]350 = 127(1.03)^t[/tex]

[tex](1.03)^t = \frac{350}{127}[/tex]

[tex]\log{(1.03)^t} = \log{\left(\frac{350}{127}\right)}[/tex]

[tex]t\log{1.03} = \log{\left(\frac{350}{127}\right)}[/tex]

[tex]t = \frac{\log{\left(\frac{350}{127}\right)}}{\log{1.03}}[/tex]

t = 34.3 years.

34.3 years = during the year of 2005 + 34.3 = 2039. This result is shown by the graph at the end of the answer.

Missing Information

The problem asks for when the population will be of 350 students.

More can be learned about exponential functions at https://brainly.com/question/25537936

#SPJ1

A produce manager inspects large truckloads of potatoes to determine the proportion with major defects (p). She intends to compute a 95% confidence interval for p. To do so, she selects an SRS of 50 potatoes from the more than 2,000 potatoes in the truck. Suppose that only 2 potatoes sampled are found to have major defects.
1. The P-value of her test is:_____.
a. 0.4082.
b. 0.0918.
c. 0.0400.
d. less than 0.0002.
2. Which of the assumptions for inference about a proportion are violated?
a. the data are an SRS from the population of interest.
b. the population is at least 10 times as large as the sample.
c. n is so large that both np0 and n(1-p0) are 10 or more, where p0 is the proportion with major defects if the null hypothesis is true.
d. there appear to be no violations.
3. A 95% plus four confidence interval for the true proportion of potatoes in the truck that have major defects is:____.
a. 0.06±0.026.
b. 0.06±0.051.
c. 0.077±0.026.
d. 0.077±0.051.

Answers

Answer:

1. 0.4082

2. The data are an SRS from the population of interest

3. 0.06 +- 0.051

Step-by-step explanation:

Hypothesis testing is carried out to give conclusion about data set. The p value determines whether to accept or reject the null hypothesis. Alternative hypothesis is created against the null hypothesis to test the observation of data.

What is the square root of -24

Answers

The square root of a negative number does not exist in the set of real numbers so the answer is Undefined

find the are area of the square ABCD​

Answers

Answer:

196 m2

Step-by-step explanation:

Answer:

The area of the square ABCD with side of 14m

is 196 m²

Step-by-step explanation:

Area = a*a = 14 x 14 = 196 m²

a is side

HELP!!! in the diagram m ∠ g=96. what is m ∠E

Answers

Answer:

M<E

Step-by-step explanation:

It would be m

Answer:

sorry if it’s late, but that would be

B) 84

i just took the test.


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

you add 1 to 5 and then you find y but on x you multiple t

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