A bowl contains 10 quarters, 20 dimes, 15 nickels, and 5 pennies. a coin is selected at random and kept and then a second coin is selected at random. which combination would have a probability of 6/49?

Answers

Answer 1
In this question, there are a few kinds of the coin with a different value. To answer this question, we need to know the total coin first. The total coin count should be: 10 +20 + 15 +5= 50 coin

In this case, the coin is taken twice, that means the denominator should be 50*49. But in this question, the probablity value is 6/49, so you need to convert it into 50*49 by multiplying the numerator with 50. The value should be:
6/49 *50/50= 300/49*50
The number 300 is multiplication of 20 and 15, that mean the answer should be: 1 dimes and 1 nickles

Related Questions

The random variable x is the number of shots it takes before you make the first free throw in basketball. assuming the probability of success (making a free throw) is constant from trial to trial, what type of distribution does x follow?

Answers

x = 11*22 the answer is 11 * 22=_

which action illustrates rational behavior

Answers

Making a decision after logically thinking about the choices.

The volume of a cube depends on the length of its sides. This can be written in function notation as v(s). What is the best interpretation of v(2) = 8?

Answers

What is the best interpretation of v(2) = 8?


v(s) = a³ , a being the side of the cube and v, the volume. Moreover 
the sub s in v(s) gives the length of the side "a":

v(s) = a³
v(2) = 8 → v(2) = 2³  → v(2) = 8 

a smoothie recipe calls for 2 1/4 cups of frozen mango. if the recipe serves two, how many cups of frozen mango is needed to serve one?

Answers

1.125 cups of frozen yogurt to serve 1

Answer:  The required number of cups of frozen mango is 1.125.

Step-by-step explanation:  Given that a smoothie recipe calls for [tex]2\dfrac{1}{4}[/tex] cups of frozen mango and the recipe serves two.

We are to find the number of cups of frozen mango that is needed to serve one.

We will be using the UNITARY method to solve the problem.

We have

The number of cups of frozen mango that needs to serve two is

[tex]2\dfrac{1}{4}=\dfrac{9}{4}=2.25.[/tex]

Therefore, the number of frozen mango that needs to serve one is given by

[tex]\dfrac{2.25}{2}=1.125.[/tex]

Thus, the required number of cups of frozen mango is 1.125.

what's the equation of this line.

Answers

(0,-3), (6,0)

(0+3)/(6-0)

3/6= 1/2

y+3=(1/2)(x-0)

y+3=(1/2)x

y=(1/2)x-3 is the equation

Ralphie has 23 more toys than his little brother Joey. If they were to get all of their toys out and lay them on the floor, there would be 384 toys on the floor.

Answers

i cant see the question.

What is the solution to the proportion? Round the answer to the nearest tenth if necessary.

52/x = 9.5/3.25

A: x=14.6
B: x=17.8
C: x=157.8
D:x=169

Answers

52/x = 9.5/3.25
9.5x = (52)(3.25)
9.5x = 169
     x = 17.8

answer
B: x=17.8

Yeah it's B:17.8 I agree with you

78·112=7278·112=72 . how can you tell that her answer is wrong?

Answers

because she randomly added a 72 before the 78

There are 3 brothers Adam Ben and Callum Callum is 3/8 of adams age Ben is 4/5 of Adams age given that Callum is 2 years younger than Ben find Adams age

Answers

Let x =  Adam's age.

Callum is 3/8 of Adam's age.
Therefore Callum's age is (3/8)x.

Ben is 4/5 of Adam's age.
Therefore Ben's age is (4/5)x.

Callum is 2 years younger than Ben, therefore
(3/8)x = (4/5)x - 2
Multiply through by 40.
15x = 32x - 80
-17x = -80
x = 4.706

Adam's age is 4 years, 0.706*12 months = 4 years, 8.5 months

Answer: 4 years, 8.5 months

select the proper order from least to greatest 2/3 , 7/6 , 1/8 , 9/10

Answers

1/8 , 2/3, 9/10, 7/6

What is math compass used for ?

Answers

Ok so a compass, is a technical drawing instrument that can be used for inscribing circles or arcs. Compasses can be used for drafting, navigation and graphing.

Farmer Fred has 200 sheep on his farm.He sells 40 of them.What percentage of his sheep does he have left?

Answers

80% because 40% of 200 is 80. 

In the formula l=prt, what does the p stand for

Answers

p is for principal ( amount of money you start with)

What does the standard error of the estimate tell us?

Answers

The standard error of the estimate tells us measure of accuracy

If you have 256 data points, how many classes (bins) would sturges' rule suggest

Answers

Since Sturge's Rule states that the optimal number of bins is equal to the 1 plus 3.3 log(n), where n is the number of data points, the estimated solution (since you can only have whole bins) is to provide 6 bins, each storing 42 to 43 data points.

Final answer:

Sturges' rule suggests using 9 classes or bins for 256 data points.

Explanation:

Sturges' rule is a method for determining the number of classes or bins required for a histogram. According to Sturges' rule, the formula to calculate the number of classes is:

K = 1 + log2(n)

Where K is the number of classes and n is the number of data points. In this case, since you have 256 data points, the number of classes suggested by Sturges' rule would be:

K = 1 + log2(256)

K = 1 + log2(28)

K = 1 + 8

K = 9

Therefore, Sturges' rule would suggest using 9 classes or bins for the histogram.

Simplify the function f(x)=1/3(81)^3x/4 . Then determine the key aspects of the function. The initial value is . The simplified base is . The domain is . The range is .

Answers

 x3-81=0 One solution was found :                   x = 3 • ∛3 = 4.3267

Step by step solution :Step  1  :Trying to factor as a Difference of Cubes:

 1.1      Factoring:  x3-81 

Theory : A difference of two perfect cubes,  a3 - b3 can be factored into
              (a-b) • (a2 +ab +b2)

Proof :  (a-b)•(a2+ab+b2) =
            a3+a2b+ab2-ba2-b2a-b3 =
            a3+(a2b-ba2)+(ab2-b2a)-b3 =
            a3+0+0+b3 =
            a3+b3

Check :  81  is not a cube !! 
Ruling : Binomial can not be factored as the difference of two perfect cubes

Polynomial Roots Calculator :

 1.2    Find roots (zeroes) of :       F(x) = x3-81
Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q  then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -81. 

 The factor(s) are: 

of the Leading Coefficient :  1
 of the Trailing Constant :  1 ,3 ,9 ,27 ,81 

 Let us test ....

  P  Q  P/Q  F(P/Q)   Divisor     -1     1      -1.00      -82.00        -3     1      -3.00      -108.00        -9     1      -9.00      -810.00        -27     1     -27.00     -19764.00        -81     1     -81.00     -531522.00        1     1      1.00      -80.00        3     1      3.00      -54.00        9     1      9.00      648.00        27     1      27.00     19602.00        81     1      81.00     531360.00   


Polynomial Roots Calculator found no rational roots

Equation at the end of step  1  : x3 - 81 = 0 Step  2  :Solving a Single Variable Equation :

 2.1      Solve  :    x3-81 = 0 

 Add  81  to both sides of the equation : 
                      x3 = 81 
When two things are equal, their cube roots are equal. Taking the cube root of the two sides of the equation we get:  
                      x  =  ∛ 81  

 Can  ∛ 81 be simplified ?

Yes!   The prime factorization of  81   is
   3•3•3•3  
To be able to remove something from under the radical, there have to be  3  instances of it (because we are taking a cube i.e. cube root).

∛ 81   =  ∛ 3•3•3•3   =
                3 • ∛ 3 

The equation has one real solution
This solution is  x = 3 • ∛3 = 4.3267 

One solution was found :                   x = 3 • ∛3 = 4.3267

Answer:

The initial value is  

✔ 1/3

The simplified base is  

✔ 27

The domain is  

✔ all real numbers

The range is  

✔ y > 0

Step-by-step explanation:

12 packs of juice cost $3.00 after a 40% discount. Which equation would allow you to find the original price of a 12-pack

Answers

So the problem is 40 divided by 3 which is 13.3% with a line over the 3 because it is infinante

How to find mean and standard deviation for binomial distribution?

Answers

Final answer:

To calculate mean and standard deviation for a binomial distribution, use the formulas μ = np and σ = √npq. Ensure both np and nq are greater than five to use the normal approximation.

Explanation:

To find the mean (μ) and standard deviation (σ) for a binomial distribution, you use the formulas μ = np and σ = √npq respectively. Here, 'n' represents the number of trials, 'p' is the probability of success on a single trial, and 'q' is the probability of failure on a single trial, which is calculated as q=1-p.

If you want to determine whether you can use the normal approximation to the binomial, it is essential to ensure that both np and nq are greater than five. This is because the normal approximation is most accurate when the binomial distribution is symmetrical, which typically occurs when both np and nq exceed five.

Angles opposite to one another at the intersection of two lines are called _ _ _ _ _ _ _ _ _ _ _ _ _ _ angles.

Answers

It is called vertical angle.

Answer:

Step-by-step explanation: vertical angel

Your bowl contains 8 red balls, and 9 blue balls, and you draw 4 balls. in how many ways can the selection be made so that at least one of each color is drawn?

Answers

In 2156 ways the selection be made so that at least one of each color is drawn?

The question is asking for the number of ways to select balls from a bowl containing 8 red balls and 9 blue balls if 4 balls are drawn and at least one of each color is drawn.

To solve this, we must consider the different combinations of red and blue balls that meet the requirement.

Calculate the total possible outcomes: 17C4 = 2380

Calculate the outcomes where all balls of one color are drawn: 9C4 + 8C4 = 224

Subtract the outcomes where only one color is drawn from the total: 2380 - 224 = 2156 ways

Los angles is about 385 miles from san francisco. how far apart should the city's be on a map with a scale of 1in=1515mil

Answers

1 inch=1515 miles
X inches= 385 miles
so 1515 is 3.935 times bigger than 385 miles.
meaning that 1 inch is also 3.935 times bigger than X inches.
to find X we just divide 1 by 3.935
which is: 0.254 inches

Jenna hikes 1/2mile every 1/4 hour. how far does she hike in 1 hour?

Answers

1/2mile every 1/4 hour

1/2mile -------------------> 1/4 hour
??n mile -----------------> 1 hour 

cross multiplication 

1  x 1/ 2    /   1/4   =  2 miles 



Jenna hikes 2 miles in 1 hour, as she covers 1/2 mile in each 1/4 hour and there are four 1/4 hours in a full hour.

Jenna hikes 1/2 mile every 1/4 hour. To determine how far she hikes in 1 hour, we need to calculate the distance she can cover in four such intervals since 1 hour is composed of four 1/4 hours.

So, the calculation would be:
1/2 mile in 1/4 hour

1/2 mile x 4 (since there are 4 quarters in a full hour) = 2 miles

Therefore, Jenna hikes 2 miles in 1 hour.

8 1/2% of 4000
I hope u understood that.

Answers

Hey there,
8 1/2% x 4000 = 340

Hope this helps :))

~Top
it is 340
(8 1/2)% of 4000 = 340

The table gives the numbers of teachers and students in grades 6 to 8 at Earhart Middle School. Grade Teachers Students 6 1 25 7 2 50 8 3 75 Which teacher-to-student ratio maintains the proportional relationship described in the table?

Answers

Rewriting the table:

Grade          Teachers           Students
    6                     1                        25
    7                     2                       50
    8                     3                       75

Grade 6 to 8 all maintained the same proportional relationship because for every one teacher, there's 25 students 

Answer:

Teachers 4 and Students 100, Teachers 5 and Students 125

Step-by-step explanation:

Going by the chart, by each teacher, the students are increasing by 25. The only ones to follow this pattern is 4:100 and 5:25

What is the median of this set of data: 10, 11, 12, 12, 15, 19, 20, 21, and 22? Express your answer as an integer.
Question 7 options:

12

15

16

19

Answers

15, median is the number in the middle, (i.e. median of 3, 4, 8, 9, 10, is 8.)
15; B, is the answer! :)

A sampling distribution is constructed based on a sample size of 9. if the sampling distribution has a mean of 500 and a standard error of 15, what is the standard deviation of the original comparison population

Answers

This is one that most people can figure out.
Final answer:

The standard deviation of the original comparison population is 45.

Explanation:

The standard deviation of the original comparison population can be calculated using the formula:

Standard deviation of the sampling distribution = standard error * sqrt(sample size)

Given that the standard error of the sampling distribution is 15 and the sample size is 9, we can substitute these values into the formula:

The standard deviation of the original comparison population can be determined by using the relationship between the standard deviation, standard error, and sample size in a sampling distribution. The formula is:

[tex]\[ \text{Standard deviation of the original comparison population} = \text{Standard error} \times \sqrt{\text{Sample size}} \][/tex]

Given a standard error of 15 and a sample size of 9, substitute these values into the formula:

\[ \text{Standard deviation of the original comparison population} =[tex]15 \times \sqrt{9} = 15 \times 3 = 45 \][/tex]

Therefore, the standard deviation of the original comparison population is 45.

Standard deviation of the original comparison population = 15 * sqrt(9) = 15 * 3 = 45

Therefore, the standard deviation of the original comparison population is 45.

A house costs $600 more than 12 times the lot on which it was built. If the lot cost x dollars, what did the house cost?

Which expression represents this?

$600 + 12x
$600x + 12
$720x

Answers

your answer is $600+12x
Answer:

The expression that represents the situation is:

                    $ 600+12x

Step-by-step explanation:

cost of lot is: $ x

This means that 12 times the lot on which it was built is: $ 12x

Also, it is given that:

A house costs $600 more than 12 times the lot on which it was built.

This means that the total cost of the house is:

600 plus the total cost of the lot on which it was built.

i.e.   The expression that represents the total cost of the house is:

                      $ 600+12x

The dimensions of a rectangular prism are 1 mm, 6 mm, and 11 mm. Find the volume and the surface area.

THX :)

Answers

The volume is the product of the side lengths which is 1*6*11= 66 mm^3. The surface area is twice the sum of all the possible products of the side lengths, or 2lw+2wh+2hl which is 2(6*11+6*1+11*1) = 166 mm^2 if my mental math is decent.

The volume and the surface area of the rectangular prism will be 66mm and 166mm² respectively.

Length = 11m

Width = 1mm

Height = 6mm

The volume of the rectangular prism will be:

= Length × Width × Height

= 11mm × 1mm × 6mm

= 66mm

The surface area of the rectangular prism will be:

= 2(wl + hl + hw)

= 2(11 + 66 + 6)

= 2(83)

= 166

Therefore, the surface area of the rectangular prism will be 166mm²

In conclusion, the volume and the surface area of the rectangular prism will be 66mm and 166mm² respectively.

Read related link on:

https://brainly.com/question/6842793

Candy bags is sold in 4 pound bags.How many full bags will Gina need to purchase?

Answers

To get to 1 full bag she will need to purchase 25 bags




Hope this helps plz mark as brainlist and 5 star

Find two numbers if their difference is 16 and their ratio is 5:7.

Answers

Final answer:

To determine two numbers where their difference is 16, and their ratio is 5:7, we let the smaller number be 5x and the larger one be 7x, solve for x with the equation 7x - 5x = 16, and find that the numbers are 40 and 56.

Explanation:

To find two numbers with a difference of 16 and a ratio of 5:7, first let's denote the smaller number as 5x and the larger number as 7x. The difference between the two numbers is 16, so we can write the equation 7x - 5x = 16.

Solving for x gives us 2x = 16 or x = 8. Thus, the two numbers we are looking for are 5x = 5 × 8 = 40 and 7x = 7 × 8 = 56.

Check: The difference between 56 and 40 is indeed 16, and the ratio of 40 to 56 simplifies to 5:7, confirming our solution.

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