A jar contains 4 pieces of gum, 7 pieces of candy, and 3 pieces of mint. Each time you draw out an item, you record the outcome and put the item back in the jar before making another draw. What is the probability that you get exactly the following sequence: candy—mintmcandy, in that order?
(a) 0.0300.
(b) 0.0530.
(c) 0.1607.
(d) 1.2143.

Answers

Answer 1

Answer:

The correct answer is B.

Step-by-step explanation:

Since a jar contains 4 pieces of gum, 7 pieces of candy, and 3 pieces of mint, and each time you draw out an item, you record the outcome and put the item back in the jar before making another draw, to determine what is the probability that you get exactly the sequence candy-mint-candy, in that order, the following calculation should be performed:

4 + 7 + 3 = 14

7/14 x 3/14 x 7/14 = X

0.5 x 0.2142 x 0.5 = X

0.053 = X

Therefore, the probability that the chosen sequence will be obtained is 0.0530, or 5.3%.


Related Questions

what is the domain of f(x)

Answers

Answer:

Values of x

Step-by-step explanation:

The domain of a function is the set of all possible inputs for the function while the co-domain is the set of all possible outputs of the function.

In other words, domain is the set of x-values that you can put into any given equation while co-domain is the sex of f(x)-values that you get from substituting the values of x.

Hope it's clear

Heeelp please!!! Picture included

Answers

Answer:

2nd choice

Step-by-step explanation:

1. Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. On weekday mornings, arrivals to the drive-up teller window occur at random, with an arrival rate of 24 customers per hour or 0.4 customers per minute.
a. What is the mean or expected number of customers that will arrive in a five-minute period?
b. Assume that the Poisson probability distribution can be used to describe the arrival process. Use the arrival rate in part (a) and compute the probabilities that exactly 0, 1, 2, and 3 customers will arrive during a five-minute period.
c. Delays are expected if more than three customers arrive during any five-minute period. What is the probability that delays will occur?
2. In the Willow Brook National Bank waiting line system (see Problem 1), assume that the service times for the drive-up teller follow an exponential probability distribution with a service rate of 36 customers per hour, or 0.6 customers per minute. Use the exponential probability distribution to answer the following questions:
a. What is the probability that the service time is one minute or less?
b. What is the probability that the service time is two minutes or less?
c. What is the probability that the service time is more than two minutes?

Answers

Answer:

1.

a. 2

b. 0.1353 probability that exactly 0 customers will arrive during a five-minute period, 0.2707 that exactly 1 customer will arrive, 0.2707 that exactly 2 customers will arrive and 0.1805 that exactly 3 customers will arrive.

c. 0.1428 = 14.28% probability that delays will occur.

2.

a. 0.4512 = 45.12% probability that the service time is one minute or less.

b. 0.6988 = 69.88% probability that the service time is two minutes or less.

c. 0.3012 = 30.12% probability that the service time is more than two minutes.

Step-by-step explanation:

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

Question 1:

a. What is the mean or expected number of customers that will arrive in a five-minute period?

0.4 customers per minute, so for 5 minutes:

[tex]\mu = 0.4*5 = 2[/tex]

So 2 is the answer.

Question b:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-2}*2^{0}}{(0)!} = 0.1353[/tex]

[tex]P(X = 1) = \frac{e^{-2}*2^{1}}{(1)!} = 0.2707[/tex]

[tex]P(X = 2) = \frac{e^{-2}*2^{2}}{(2)!} = 0.2707[/tex]

[tex]P(X = 3) = \frac{e^{-2}*2^{3}}{(3)!} = 0.1805[/tex]

0.1353 probability that exactly 0 customers will arrive during a five-minute period, 0.2707 that exactly 1 customer will arrive, 0.2707 that exactly 2 customers will arrive and 0.1805 that exactly 3 customers will arrive.

Question c:

This is:

[tex]P(X > 3) = 1 - P(X \leq 3)[/tex]

In which:

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

The values we have in item b, so:

[tex]P(X \leq 3) = 0.1353 + 0.2707 + 0.2707 + 0.1805 = 0.8572[/tex]

[tex]P(X > 3) = 1 - P(X \leq 3) = 1 - 0.8572 = 0.1428[/tex]

0.1428 = 14.28% probability that delays will occur.

Question 2:

[tex]\mu = 0.6[/tex]

a. What is the probability that the service time is one minute or less?

[tex]P(X \leq 1) = 1 - e^{-0.6} = 0.4512[/tex]

0.4512 = 45.12% probability that the service time is one minute or less.

b. What is the probability that the service time is two minutes or less?

[tex]P(X \leq 2) = 1 - e^{-0.6(2)} = 1 - e^{-1.2} = 0.6988[/tex]

0.6988 = 69.88% probability that the service time is two minutes or less.

c. What is the probability that the service time is more than two minutes?

[tex]P(X > 2) = e^{-1.2} = 0.3012[/tex]

0.3012 = 30.12% probability that the service time is more than two minutes.

ABCD-EFGH what does y=?

Answers

Answer:

y = 3

Step-by-step explanation:

Given that the shapes are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{AB}{EF}[/tex] = [tex]\frac{CD}{GH}[/tex] , substitute values

[tex]\frac{3}{2}[/tex] = [tex]\frac{4.5}{y}[/tex] ( cross- multiply )

3y = 9 ( divide both sides by 3 )

y = 3

PLEEEASEEEE HEEELPPP!!!​

Answers

Answer: About 72%

Step-by-step explanation:

It's a conditional probability.

(Number of graduates on financial aid)/(Number of graduates)

[tex]\frac{1879}{2610} =0.7199[/tex]

0.7199 = 71.99% ≈ 72%

HELP ME PLSSSSSSSS I tryed to solvessss

Answers

Answer:

x≥-4

Step-by-step explanation:

Does anyone know this question?

Answers

Step-by-step explanation:

this is a relatively easy function. Just plug in the value for x

a. A CD is discounted by 10%, and then from the already discounted price, a further 15% discount is given. If the price now is $12.93, find the original price.

b. What is the total discount percent as compared to the original price?

Answers

Answer:

  a. $16.90

  b. 23.5%

Step-by-step explanation:

a. After the two discounts, the original price is multiplied by ...

  (1 -10%)(1 -15%) = 0.90×0.85 = 0.765

Then the original price is found from ...

  $12.93 = 0.765 × original price

  original price = $12.93 / 0.765 ≈ $16.90

__

b. The effective discount from the original price is ...

  1 -0.765 = 0.235 = 23.5%


Algebraically show that each of the given combinations are equivalent to the given functions.
h(x) + j(x) is equivalent to k(x) given:

h(x) = 2x – 3;j(x) = - 4x + 6; k(x) = – 2x + 3

h(x) + j(2) =

Is h(x) + j(x) equivalent to k(x)? yes

Answers

Answer:

YES, they are equal

Step-by-step explanation:

Given the expressions

h(x) = 2x – 3;j(x) = - 4x + 6; k(x) = – 2x + 3

h(x) + j(x) = 2x – 3 + (-4x + 6)

h(x) + j(x) =  2x - 3 -4x + 6

h(x) + j(x) = 2x - 4x -3 + 6

h(x) + j(x) = -2x + 3 = k(x)

This shows that h(x) + j(x) =  k(x)

Points A, B, C, and D lie on a line in that order. If AD/AC = 2/1 and AD/AB = 3/1, what is the value of AC/BD?

Answers

9514 1404 393

Answer:

  3/4

Step-by-step explanation:

It might be easier to start by expressing the ratios with AD as the denominator.

  AD/AC = 2/1   ⇒   AC/AD = 1/2

  AD/AB = 3/1   ⇒   AB/AD = 1/3

From the latter, we have ...

  (AD -AB)/AD = 1 -1/3 = 2/3 = BD/AD

Then the desired ratio is ...

  AC/BD = (AC/AD)/(BD/AD) = (1/2)/(2/3) = (3/6)/(4/6)

  AC/BD = 3/4

Lara says that she can use this picture to show that two pairs of congruent angles and
one pair of corresponding congruent sides is enough information to prove that two
triangles are congruent. Is Lara correct?

Answers

Answer:

Bottom left

Step-by-step explanation:

Mark brainliest please

Yes, Lara is correct.

Congruent triangleTwo triangles are said to be congruent if all three corresponding sides are equal and all three corresponding angles are equal in measureTriangles are congruent when they have exactly the same three sides and exactly the same three angles.

How to solve this problem?

The steps are as follow:

Since there is a series of rigid motions that will match the triangles up exactly.Also, Lara is correct only if the corresponding congruent side is in between the two anglesThis would be "ASA" triangle congruceny which means Angle Side Angle congruceny

So Lara is correct

Learn more about Congruent triangle here:

https://brainly.com/question/1675117

#SPJ2

(x + 3)(x + 7) ≡ x2 + ax + 21

Answers

The answer is c. Hope this helps

it is estimated that 50% of emails are spam emails. Some software has been applied to filter these spam emails before they reach your inbox. A certain brand of software claims that it can detect 99% of spam emails and the probability for a flase positive is 5%. What is the probability that an email is detected as spam

Answers

Answer:

0.52 = 52% probability that an email is detected as spam.

Step-by-step explanation:

Probability that an email is detected as spam:

99% of 50%(are spam).

5% of 100 - 50 = 50%(false positives, that is, e-mails that are not spam but are detected as spams).

What is the probability that an email is detected as spam?

[tex]p = 0.99*0.5 + 0.05*0.5 = 0.52[/tex]

0.52 = 52% probability that an email is detected as spam.

5. Lisa has a cubed-shaped box with a
volume of 512 cm. If Lisa fills the box
with 1-cubic centimeter blocks, how
many blocks make up each layer?

Answers

I can’t see it problem sorry

Answer:

64

Step-by-step explanation:

[tex]\sqrt[3]{512} = 8\\8x8 = 64[/tex]

solve the quadratic equation x²+x-2​

Answers

Step-by-step explanation:

ii hope this will help you

please mark me as brinalist friend

Answer:

x = 1

x = -2

Step-by-step explanation:

Hello!

We can solve the quadratic by factoring the equation.

Standard Form of a Quadratic: [tex]ax^2 + bx + c = 0[/tex]

Given our equation: [tex]x^2 + x - 2 = 0[/tex]

a = 1b = 1c = -2

Find two numbers that multiply up to "ac" but add up to "b". The two numbers are 2 and -1. Expand x into 2x and -1x.

Factor by Grouping[tex]x^2 + x - 2 = 0[/tex][tex]x^2 + 2x - x - 2 = 0[/tex][tex]x(x + 2) -1(x + 2) = 0[/tex][tex](x - 1)(x + 2) = 0[/tex]

Set each factor to 0 and solve for x:

[tex]x - 1 = 0\\x = 1[/tex]

[tex]x + 2 = 0\\x = -2[/tex]

The solutions for x are 1 and -2.

Will give brainliest answer

Answers

Answer: 2/5x to the second.

may I have the brainiest? pls

In the diagram below, POR is a diameter, <QPR is a°,<PRS is (4a+12)°. find the value of a​

Answers

Answer:

22=4

Step-by-step explanation:

0977-=ytb

Can someone help me with this problem?

Answers

no i don't even think albert could

why no one helping me please help please please please please please​

Answers

Answer:

a) A

b) C and E

c) C, D and F

d) two

e) Equal

Can you please help me solve this step by step?

Answers

Answer:

2/3

Step-by-step explanation:

[tex]2 \frac{1}{4} : \frac{1}{2}[/tex] = [tex]\frac{9}{4} : \frac{1}{2}[/tex]

[tex]\frac{\frac{9}{4} }{\frac{1}{2} }[/tex] = [tex]\frac{3}{x}[/tex]

3 * 1/2 = 9/4x

3/2 = 9/4 x

x = 3/2 ÷ 9/4 = 3/2 * 4/9 = 12/18 = 6/9 = 2/3

Use the formula for the volume of a cube given by
V = s3
where s is the length of one of the sides. This formula yields the volume in cubic units.
Suppose a certain sugar cube has a side that measures 5/9 inches per side. What is the volume of this sugar cube (in in3)? Round the result to three decimal places.

Answers

Answer:

The volume of the cube is 0.171 cubic inches.

Step-by-step explanation:

The volume of a cube given by :

[tex]V=s^3[/tex]

Where

s is the length of one of the sides.

We need to find the volume of the sugar cube if its side is 5/9 inches per side.

So,

[tex]V=(\dfrac{5}{9})^3\\\\V=0.171\ inches^3[/tex]

So, the volume of the cube is 0.171 cubic inches.

SECTION B
Answer ALL questions. Write your answers in the spaces provided.
1 Data set A has a median value of 3.1
Here is data set B.
14
-9
28
-38
-13
-2
(a) Write a statement to compare the median values of the two sets of data.
(2)

Answers

Answer: The median value of data set B is -5.5, which is less than the median value of 3.1 in dataset A.

Step-by-step explanation:

Order the dataset from least to greatest:

-38 → -13 → -9 → -2 → 14 → 28

Then find the values that lies in the middle:

-38 → -13 → -9 → -2 → 14 → 28

Since there are 2 values, find the average of those 2 values:

[tex]\frac{-9+(-2)}{2} =\frac{-11}{2} =-5.5[/tex]

The median value = -5.5.

The median value of data set B is -5.5, which is less than the median value of  3.1 in dataset A.

What is the answer??

Answers

Answer:

Step-by-step explanation:

Let AC = x

AB - AC = 4 cm

AB = 4 +x  ----------------(I)

Pythagorean theorem

AB² + AC² =BC²

(4 + x)² + x² = 9²

Use the identity (a + b)² = a² + 2ab + b² where a = 4 & b = x

4² +2*4*x  +x² + x²= 81

16 + 8x + 2x² = 81

2x² + 8x + 16 - 81 = 0

2x² + 8x - 65= 0

a = 2 ; b = 8 ; c = -65

D = b² - 4ac

   = 8² - 4*2*(-65)

  = 64 +  520

D = 584

√D = √584 = 24.16

[tex]x=\frac{-b+\sqrt{D}}{2a} \ or \ x =\frac{-b-\sqrt{D}}{2a}\\\\x= \frac{-8+24.16}{2*2} \ or \ x = \frac{-8-24.6}{2*2}[/tex]   {Ignore this as it is negative.}

x = 16.16/4

x = 4.04

AC = 4.04 Cm

AB = 4 + 4.04 = 8.04 cm

Area of triangle ABC = [tex]\frac{1}{2}* base * height[/tex]

                                   [tex]=\frac{1}{2}*4.04 *8.04\\\\= 2.02 * 8.04[/tex]

                                   = 16.24 sq.cm

A nut mixture has peanuts,almonds and cashews in the ratio 5:3:1. Question:How much nust mixture should Helen buy if she wants to ensure she has 750g of almonds in the mix? please help!!will submit it today....​

Answers

Answer:

2250 g of nut mixture

Step-by-step explanation:

In order to use the ratio, we have to divide that 750 g by 3.

So 250 g multiplied by 5 is 1250. That's the amount of peanuts. Then just 1 for the cashews.

So, adding all of that up, the answer is 2250 g of nut mixture.

Answer:

1350g of nut mixture

Step-by-step explanation:

5:3:1 = 5x + 3x + x

5x = 750

x = 150

5x + 3x + x

= 5(150) + 3(150) + (150)

=750 + 450 + 150

=1350g

Hope it helps...

find the equation of the line shown

Answers

The required equation of the line is y = x + 1.

What is a Line??

A line can be defined by a shortest distance between two points is called as a line.

From the graph we conclude two points i.e. (0,1) and ( 1, 2).
Slope(m) = [tex]\frac{Y_2-Y_1}{X_2-X_1}[/tex]
m = 2-1/1-0
m = 1
Standard equation of line.
[tex]Y-Y_1=m(X-X_1)[/tex]
Y- 1 = 1 ( X - 0 )
Y = X + 1

Thus, the required equation of the line is y = x + 1.  

Learn more about lines here:

brainly.com/question/2696693

#SPJ2

Women's heights are normally distributed with a mean given by p = 63.6 in. and a standard deviation given by o = 2.5 in. (a) If 1' woiman is randomly selected, find the probability that her height is less than 67.4 in. Enter a number correct to 4 decimal places: (b): 1f 64 women are randomly selected, find the probability that they will have a mean height less than 67.4 in. Enter a number correct to 4 decimal places:​

Answers

Step-by-step explanation:

I am sorry question samajh Nahin a Raha question dijiye

Test the claim that the mean GPA of night students is larger than the mean GPA of day students at the 0.10 significance level. The null and alternative hypothesis would be: H 0 : p N ≥ p D H 1 : p N < p D H 0 : p N ≤ p D H 1 : p N > p D H 0 : p N = p D H 1 : p N ≠ p D H 0 : μ N ≤ μ D H 1 : μ N > μ D H 0 : μ N ≥ μ D H 1 : μ N < μ D H 0 : μ N = μ D H 1 : μ N ≠ μ D The test is: two-tailed right-tailed left-tailed The sample consisted of 30 night students, with a sample mean GPA of 3.34 and a standard deviation of 0.02, and 30 day students, with a sample mean GPA of 3.32 and a standard deviation of 0.08. The test statistic is: (to 2 decimals) Use the conservative degree of freedoms. The p-value is: (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis

Answers

Answer:

H0 : μN ≤ μD

H1 : μN > μD

Right tailed

Test statistic = 1.33

Pvalue = 0.097

Fail to reject the Null

Step-by-step explanation:

H0 : μN ≤ μD

H1 : μN > μD

The test is right tailed ; culled from the direction of the greater than sign ">"

Night students :

n1 =30 x1= 3.34 s1 = 0.02

Day students:

n2 = 30 x2 = 3.32 s2 = 0.08

The test statistic :

(x1 - x2) / √(s1²/n1) + (s2²/n2)

T= (3.34 - 3.32) / √(0.02²/30) + (0.08²/30)

T = 0.02 / 0.0150554

Test statistic = 1.328

Using the conservative approach ;

df = Smaller of n1 - 1 or n2 - 1

df = 30 - 1 = 29

Pvalue(1.328, 29) = 0.097

At α = 0.10

Pvalue < α ; Hence, we reject H0 ; and conclude that there is significant evidence that GPA of night student is greater than GPA of day student

How long will it take her to travel 72 miles? use the unit ratio to solve the following problem.

Answers

Answer:

It will take Noshwa 3 hours and 36 minutes to travel 72 miles.

Step-by-step explanation:

Since Noshwa is completing the bike portion of a triathlon, assuming that she travels 40 miles in 2.5 hours, to determine how long will it take her to travel 72 miles, the following calculation must be performed:

40 = 2.5

72 = X

72 x 2.5 / 50 = X

180/50 = X

3.6 = X

1 = 60

0.6 = X

0.6 x 60 = X

36 = X

Therefore, it will take Noshwa 3 hours and 36 minutes to travel 72 miles.

Find the points of intersection of the graphs involving the following pair of functions.

f(x)=2x^2 + 3x - 3 and g(x) = -x^2

Answers

Answer:

The point of intersection is [tex]( \frac{-1\pm\sqrt{5}}{2}, 0)[/tex]

Step-by-step explanation:

f(x) = 2x^2 + 3x - 3 and g(x) = - x^2

By equating them

2x^2 + 3x - 3 = -x^2

3x^2 + 3 x - 3 =  0

x^2 + x - 1 = 0

[tex]x^2 +x - 1 = 0 \\\\x = \frac{-1\pm\sqrt{5}}{2}[/tex]

If the sum of a number and one is triple, the result is five less than twice the number

Answers

Answer:

Step-by-step explanation:

3(x + 1 ) =2x - 5                           This is the way the equation reads. Remove the brackets.

3x + 3 = 2x - 5                            Subtract 2x from both sides

-2x         -2x

x + 3 = - 5                                   Subtract 3 from both sides.

   -3      -3

x = - 8

Other Questions
If an equilibrium system contains gaseous reactants and/or products, a change in volume will cause a change in concentration and pressure. A decrease in volume will cause the system to shift in the direction that produces _____ moles of gas in total, whereas an increase in volume causes a shift in the direction that produces _____ moles of gas in total. Express sin U as a fraction in simplest terms Researchers study the mean weight (in pounds) of adults between the ages of 30-40. The researchers form a SRS of adults and build a 90% confidence interval: [160, 180]. Which of the following statements are true about this confidence interval?a. 90% of intervals built according to the method capture the true mean weight of adults between the ages of 30-40. b. The intervals margin of error is 20. c. There is a 90% chance that the mean weight of adults between the ages of 30- 40 is between 160 and 180 pounds. d. The sample mean used to build this interval was 170 pounds. Someone please help me on this and please tell me the answer directly please !! Which control program flow options runs to the end of the code block and resumes the break mode at the statement that follows? How can I balance chemical equations by providing the correct coefficients? For example: [?]Pb(NO3)2 + [?]NaCrO4 = [?]PbCrO4 + [?]NaNO3 answer pleaseee help Who are all the characters in The Burgess Boys? what is this please help Asteria earned a $27,000 salary as an employee in 2020. How much should her employer have withheld from her paycheck for FICA taxes After World War II, many Japanese territories were A ball on a frictionless plane is swung around in a circle at constant speed. The acceleration points in the same direction as the velocity vector.a. Trueb. False Who is the intended audience for his present ion? What changes were made to automobiles after World War II the slope of line is Please help me my little sister and i dont understand!! Half a league, half a league,Half a league onward,All in the valley of DeathRode the six hundred:'Forward, the Light Brigade!Charge for the guns' he said:Into the valley of DeathRode the six hundred.'Forward, the Light Brigade!'Was there a man dismay'd ?Not tho' the soldier knewSome one had blunder'd:Theirs not to make reply,Theirs not to reason why,Theirs but to do and die,Into the valley of DeathRode the six hundred.Cannon to right of them,Cannon to left of them,Cannon in front of themVolley'd and thunder'd;Storm'd at with shot and shell,Boldly they rode and well,Into the jaws of Death,Into the mouth of HellRode the six hundred.Flash'd all their sabres bare,Flash'd as they turn'd in airSabring the gunners there,Charging an army whileAll the world wonder'd:Plunged in the battery-smokeRight thro' the line they broke;Cossack and RussianReel'd from the sabre-stroke,Shatter'd and sunder'd.Then they rode back, but notNot the six hundred.Cannon to right of them,Cannon to left of them,Cannon behind themVolley'd and thunder'd;Storm'd at with shot and shell,While horse and hero fell,They that had fought so wellCame thro' the jaws of Death,Back from the mouth of Hell,All that was left of them,Left of six hundred.When can their glory fade?O the wild charge they made!All the world wonder'd.Honour the charge they made!Honour the Light Brigade,Noble six hundred! Poet Name - Alfred Lord. TennysonAnswer with reference to the context2.Charge for the guns' he said:Into the valley of Deatha.What do you think the speaker is trying to convey in the first line?b.what is the tone used by the speaker?c.what is the valley of death According to general equation for conditional probability, if P(A^B) = 2/3 and P(B) = 3/4, what is P(A|B)? 30 students in grade 8 finished their summer packet before August 15.This was 12% of all the students. How many students are in grade 8?There are 1,200 people at the beach. If 88% of them went in the water,how many people DID NOT go in the water?A $800 T.V. is on sale for 15% off. What is the cost of the T.V.?You go out to dinner and the bill is $45.12. You want to leavean 18% tip. How much money should you leave? Find the slope of the line that passes through (7, -1) and (15,9)