9) (10 points) drawing 5 cards from a standard 52-card deck without replacement, how many would contain the following cards? a) 3 aces and 2 jacks b) no king g

Answers

Answer 1

a) To calculate the number of ways of drawing 3 aces and 2 jacks, we need to consider the following steps:

- Select 3 aces from the 4 aces: This can be done in C(4, 3) ways.

- Select 2 jacks from the 4 jacks: This can be done in C(4, 2) ways.

- Select the remaining 5 - 3 - 2 = 0 cards from the remaining 52 - 4 - 4 = 44 cards: This can be done in C(44, 0) = 1 way.

Thus, the total number of ways of drawing 3 aces and 2 jacks is C(4, 3) * C(4, 2) * C(44, 0) = 6 * 6 * 1 = 36.

b) To calculate the number of ways of drawing no king, we need to consider the following steps:

- Select 5 cards from the 48 non-king cards: This can be done in C(48, 5) ways.

Thus, the total number of ways of drawing no king is C(48, 5) = 1,712,304.

Therefore, the answers to the two scenarios are:

a) 36 ways of drawing 3 aces and 2 jacks.

b) 1,712,304 ways of drawing no king.

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Related Questions

Prepare to analyze the data (step 1): identify and classify the variable(s) you will use. Here is the list of variables in the data set. Use the menu to the right of each variable to: Indicate whether the variable is relevant to the questions we are investigating, and Identify the variable as either categorical or quantitative. Gender Alcohol Height Cheat

Answers

Indicating whether the variable is relevant to the questions, and Identifying the variable as either categorical or quantitative.

Gender - Categorical and Nominal Alcohol - QuantitativeHeight - QuantitativeCheat -  Categorical

Rather than straightforward explanations. Anything may be measured using it. It can also do mathematical calculations, which is essential for data analysis.

To completely understand all of the facets of quantitative data, statistical analysis—the discipline of obtaining, analysing, and presenting enormous volumes of data to uncover patterns and trends—is used. This calls for quantitative analysis employing a wide variety of data.

Categorical data is data that may be arranged into groups or categories using names or labels.

The approach is based on algorithms that assess each component of a data collection individually, compare them to other individual data sets, and look for particular similarities.

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Complete question:

identify and classify the variable(s) you will use.Here is the list of variables in the data set. Use the menu to the right of each variable to: Indicate whether the variable is relevant to the questions we are investigating, and Identify the variable as either categorical or quantitative. Group of answer choices

Gender [ Choose ] Relevant - categorical Not relevant - categorical Relevant - quantitative Not relevant - quantitative Alcohol [ Choose ] Relevant - categorical Not relevant - categorical Relevant - quantitative Not relevant - quantitative Height [ Choose ] Relevant - categorical Not relevant - categorical Relevant - quantitative Not relevant - quantitative Cheat [ Choose ] Relevant - categorical Not relevant - categorical Relevant - quantitative Not relevant - quantitative

Jasmine has 4/5 pound of fertilizer. She wants to store the fertilizer in separate containers, each with 1/5 pound of fertilizer. How many containers will she need ?

Answers

She needs 4 containers
Jasmine has 4/5 pound of fertilizer. She wants to store the fertilizer in separate containers, each with

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

The formula to divide fractions is

a/b ÷ c/d

a/b x d/c

ad / bc

The number of containers to put all the fertilizers in is 4 containers.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Example:

1/2, 1/3 is a fraction.

2/4 x 5/6 = 10/24 = 5 / 12 is a fraction

5/6 ÷ 1/3 = 5/6 x 3/1 = 5x3 / 6x1 = 15/6 = 5/2 is a fraction.

We have,

Amount of fertilizer = 4/5 pounds

Amount in each container = 1/5 pounds

The formula to divide fractions is

a/b ÷ c/d

a/b x d/c

ad / bc

The number of containers to put all the fertilizers.

= 4/5 ÷ 1/5

= 4/5 x 5/1

= 4 containers.

Thus,

The number of containers to put all the fertilizers in is 4 containers.

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Horace takes a taxi uptown, and the fare is $12.78. He wants to give the driver a 10% tip.

If Horace gives the driver a $20 bill, how much change should he ask for?

Answers

Answer:

$5.94

Step-by-step explanation:

12.78 + 10% (1.28) = 14.06

20.00 - 14.06 = 5.94

URGENT !

Solve.
-3p + 20 = 14
p =

Answers

p=2

Step-by-step explanation:

-3p=14-20

-3p=-6

p=2

NO LINKSSSSSSSSSSSS please help

NO LINKSSSSSSSSSSSS please help

Answers

Answer:

I know this aint no clever bro cmon that stuff is easy

Step-by-step explanation:

Use row operations to solve the system. x+y−z=−3
3x−y+z=−1
x−2y+4z=39
​Select the correct choice below and fill in any answer boxes within your choice. A. There is one solution. The solution is (Type an exact answer in simplified form.) B. There are infinitely many solutions. The solutions are , z), where z is any real number. C. There is no solution.

Answers

The solution is x = 5, y = 4, z = -2.

To solve the system using row operations, we can represent the system of equations in augmented matrix form:

|  1   1   -1  |  -3  |

|  3  -1    1  |  -1  |

|  1  -2    4  |  39  |

Performing row operations to simplify the matrix:

1. R2 = R2 - 3R1

|  1   1   -1  |  -3  |

|  0  -4    4  |   8  |

|  1  -2    4  |  39  |

2. R3 = R3 - R1

|  1   1   -1  |  -3  |

|  0  -4    4  |   8  |

|  0  -3    5  |  42  |

3. R3 = R3 - (3/4)R2

|  1   1   -1  |  -3  |

|  0  -4    4  |   8  |

|  0   0    0  |   9  |

Since the last row of the matrix represents the equation 0 = 9, which is not true, there is no solution.

Therefore, the correct choice is C. There is no solution.

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Find an equation for the line with the given properties. Express your answer using either the general form or the slope-intercept form of the equation of a line. Perpendicular to the line x−11y=−6; containing the point (0,8) The equation of the line is _________ (Simplify your answer.)

Answers

The equation of the line perpendicular to the line x − 11y = −6 and containing the point (0, 8) can be expressed in the slope-intercept form as y = 11x/121 + 8.

To find the equation of a line perpendicular to another line, we need to determine the negative reciprocal of the slope of the given line. The given line can be rearranged to the slope-intercept form, y = (1/11)x + 6/11. The slope of this line is 1/11. The negative reciprocal of 1/11 is -11, which is the slope of the perpendicular line we're looking for.

Now that we have the slope (-11) and a point (0, 8) on the line, we can use the point-slope form of a line to find the equation. The point-slope form is given by y - y₁ = m(x - x₁), where (x₁, y₁) represents the coordinates of the point and m represents the slope.

Plugging in the values, we get y - 8 = -11(x - 0). Simplifying further, we have y - 8 = -11x. Rearranging the equation to the slope-intercept form, we obtain y = -11x + 8. This is the equation of the line perpendicular to x − 11y = −6 and containing the point (0, 8).

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In a game, a player earns 100 points for each question answered correctly and earns -30 points for each question answered incorrectly. A player answered 14 questions correctly and 6 questions incorrectly.



Part A) Write a numeric expression to represent the total number of points the player earned.



Part B) Determine the total number of points.

Answers

The general expression is 130 x - 600 and total points scored by the player is 1220

A) Let the number of correctly answered questions be x.

∴ Number of incorrectly answered questions will be 20 - x.

+ 100 points is awarded for each question answered correctly while -30 points is awarded for each question answered incorrectly.

Thus, the general equation becomes

= 100x - (20 - x)(-30)

= 100x +30x - 600

= 130x - 600

Thus the general expression becomes 130 x - 600

B)  The player answers 14 questions correctly, thus x = 14

Substituting the value of x =14 in the general equation we get,

= 130(14) - 600

= 1820 - 600

= 1220.

Thus the total points scored by the player will be 1220

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Show all the mathematical steps required to calculate slope given two points. To earn full credit you must provide the slope formula, show the values substituted into the formula, steps to simplifying, and stating the final result. P1(-13, -4) and P2(-9, -32) ​

Answers

The equation of line is y = -7x - 95

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m of a line is a measurement of its steepness and direction.The slope of a line formula computes the "vertical change" to "horizontal change" ratio between two distinct points along a line.

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the two points be P1 and P2

P1 ( x₁ , y₁ ) = P1 ( -13 , -4 )

P2 ( x₂ , y₂ ) = P2 ( -9 , -32 )

Step 1 :

To calculate the slope m of the two points

m =  ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values of x₁ , y₁ , x₂ , y₂ in the equation , we get

m = ( -32 - (-4) ) / ( -9 - (-13) )

m = (-32 + 4 ) / ( -9 + 13 )

m = -28 / 4

m = -7

Therefore the slope is -7

Step 2 :

Now , the equation of the line is given by

y - y₁ = m ( x - x₁ )

Substituting the values of x₁ , y₁ and m in the equation , we get

y - (-4) = -7 ( x - (-13) )

y + 4 = -7 ( x + 13 )

y + 4 = -7x - 91

Subtracting 4 on both sides , we get

y = -7x - 95

Hence , the equation of line is y = -7x - 95

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Data was collected from 32 random students on the number of hours spent studying for the final and their corresponding exam score in a statistics class. If a 99% confidence interval for resulted in (3.59, 6.96), what is the most you would expect the exam score to increase by if the student studied an extra 3 hours

Answers

The maximum expected increase in exam score if a student studies an extra 3 hours is 4.11 points.

Since we have a 99% confidence interval, we can assume a t-distribution with 31 degrees of freedom (n-1). Using this distribution, we can find the margin of error (E) for the mean difference in exam score (µD) between students who study for an extra 3 hours and those who do not.

E = t* (s/√n), where s is the sample standard deviation and n is the sample size.

We don't have the standard deviation, but we can estimate it using the range rule of thumb, which states that the standard deviation is approximately equal to the range of the data divided by 4.

s ≈ (6.96 - 3.59) / 4 = 0.8425

Using a t-value for a 99% confidence interval and 31 degrees of freedom, we have:

t = 2.750

E = 2.750 * (0.8425/√32) ≈ 0.929

So the 99% confidence interval for the true mean difference in exam score is (3.59 - 0.929, 6.96 + 0.929) = (2.66, 7.89).

To find the maximum expected increase in exam score if a student studies an extra 3 hours, we can subtract the mean difference in exam score from the previous 32 students from the mean difference in exam score between students who study for an extra 3 hours and those who do not.

Mean difference in exam score = (6.96 - 3.59) / 32 = 0.104

Max expected increase in exam score = 0.104 + 3 = 4.11

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William bought snacks for his team's practice. He bought a bag of oranges for $3.02
and a 20-pack of juice bottles. The total cost before tax was $22.02. Write and solve
an equation which can be used to determine j, how much each bottle of juice costs?

Answers

Answer:

456

Step-by-step explanation:

the dog was red

find an expression for a square matrix A satisfying
A^2=(I)n where (I)n is the n×n identity matrix, give 3 examples for
the case n=3

Answers

To find a square matrix A satisfying \(A^{2}\) = (I)n, where (I)n is the n×n identity matrix, we can construct A using the square root of (I)n.

Let's denote the square root of (I)n as B, such that \(B^{2}\) = (I)n. Then A can be defined as A = B.

Here are three examples for the case n = 3:

Example 1:

Let B be the square root of (I)3:

B = \(\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]\)  

Then A = B:

A =  \(\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]\)  

Example 2:

Let B be the square root of (I)3:

B = \(\left[\begin{array}{ccc}-1&0&0\\0&-1&0\\0&0&-1\end{array}\right]\)

Then A = B:

A =  \(\left[\begin{array}{ccc}-1&0&0\\0&-1&0\\0&0&-1\end{array}\right]\)

Example 3:

Let B be the square root of (I)3:

B = \(\left[\begin{array}{ccc}0&0&1\\1&0&0\\0&1&0\end{array}\right]\)

Then A = B:

A = \(\left[\begin{array}{ccc}0&0&1\\1&0&0\\0&1&0\end{array}\right]\)

In all three examples, the matrix A satisfies \(A^{2}\) = (I)3, where (I)3 is the 3×3 identity matrix.

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Please help middle school math​

Please help middle school math

Answers

Answer:

Greater than 7 cm.

Step-by-step explanation:

Answer:greater than 7 cm

Step-by-step explanation:

A child whose height is at the 95th percentile and whose weight is at the 25th percentile is likely to be ___________.

Answers

A child whose height is at the 95th percentile and whose weight is at the 25th percentile is likely to be tall and thin.

A child whose height is at the 95th percentile and whose weight is at the 25th percentile is likely to be tall and relatively slim.

The 95th percentile for height means the child is taller than 95% of children their age, while the 25th percentile for weight means they weigh more than 25% but less than 75% of children their age, indicating a lower weight compared to their height.

These percentiles are calculated based on growth charts, which take into account age and gender to determine typical ranges of height and weight for children.

Based on this information, we can conclude that the child is likely to be tall and relatively thin compared to other children of the same age and gender. However, it's important to keep in mind that percentiles are only one way of describing a child's growth and development, and that every child is unique.

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John is having a new deck built. He paid $485 for the required materials, and he will pay his brother $25 an hour to build the deck

Answers

Answer:

The answer is not finished but if John is buying the materials and paying for the labor then the answer will be $510.

Step-by-step explanation:

I’m sorry if I didn’t help but the answer is not written out enough…

PLEASE FAST 20 POINTS
An octagon has 8 sides. One angle of a regular octagon measures (9w + 8)°. Determine the value of w. Round to the nearest whole number.

w = 19
w = 16
w = 14
w = 135

Answers

For the octagon whose measure of angle is (9w + 8)°, the value of w is 14.

What is angle?

An angle is the formed when two straight lines meet at one point, it is denoted by θ.

Given that,

Angle of regular octagon = 9w + 8

Since, angle of an octagon is 135°

Equate 9w + 8 to 135,

9w + 8 = 135

9w = 127

w = 14.11

w = 14

The required value of w is 14.

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Answer:

he octagon whose measure of angle is (9w + 8)°, the value of w is 14.

Step-by-step explanation:

What is angle?

An angle is the formed when two straight lines meet at one point, it is denoted by θ.

Given that,

Angle of regular octagon = 9w + 8

Since, angle of an octagon is 135°

Equate 9w + 8 to 135,

9w + 8 = 135

9w = 127

w = 14.11

w = 14

The required value of w is 14.

i hope this helps !!!!!

Given a set of 10 letters { I, D, S, A, E, T, C, G, M, W}, answer the following: len ( I, D, S, A, a) With the given letters above, we can construct a binary search tree (based on alphabetical
ordering) and the sequence < C, D, A, G, M, I, W, T, S, E is obtained by post-order traversing this tree. Construct and draw such a tree. NO steps of construction required.

Answers

The Binary Search Tree is as follows:

                                                   E

                                            /            \

                                         S                T

                                        /                    \

                                      I                       W

                                   /                            \

                                A                               M

                              /                                    \

                             C                                     G

                              \

                                D

The set of letters is {I, D, S, A, E, T, C, G, M, W} and len (I, D, S, A, a) = 5

Binary Search Tree:The binary search tree based on the alphabetical ordering of the letters is:

post-order sequence is: C, D, A, G, M, I, W, T, S, E.

To draw the binary search tree for the given post-order sequence, follow the steps below:

Start with the root node E and mark itFor the given post-order sequence C, D, A, G, M, I, W, T, S, E, identify the last element E as the root node. This node will be at the center of the drawing.Place the node containing the element S to the left of E, and mark it. Similarly, place the node containing the element T to the right of E, and mark it.Place the node containing the element I to the left of S, and mark it. Similarly, place the node containing the element W to the right of T, and mark it.Place the node containing the element A to the left of I, and mark it. Similarly, place the node containing the element M to the right of W, and mark it.Place the node containing the element C to the left of A, and mark it. Similarly, place the node containing the element G to the right of M, and mark it.Place the node containing the element D to the right of C, and mark it. Similarly, place the node containing the element E to the right of G, and mark it. This completes the construction of the binary search tree.

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After spending 2/3 of high salary on rent and food and 1/4of remaining of transportation. A man has rupees 6000 with him how much he pays on transportation.

Answers

Answer:

Step-by-step explanation:

Let's break down the information provided in the problem:

The man spends 2/3 of his high salary on rent and food.

This means that he has 1/3 of his salary remaining.

He then spends 1/4 of this remaining amount on transportation.

He has 6000 rupees left.

To solve for the amount he pays on transportation, we can use the following steps:

Calculate the amount of money he has left after spending 2/3 of his salary on rent and food:

Remaining amount = (1/3) * high salary

Calculate the amount he spends on transportation using the information that he spends 1/4 of the remaining amount:

Transportation cost = (1/4) * remaining amount

Substitute the value of remaining amount from step 1 into step 2:

Transportation cost = (1/4) * [(1/3) * high salary]

We are given that the man has 6000 rupees left, so we can set the equation above equal to 6000 and solve for high salary:

(1/4) * [(1/3) * high salary] = 6000

Simplifying the equation above:

(1/12) * high salary = 6000

Solving for high salary:

high salary = 6000 * 12 = 72000

Finally, substituting high salary from step 6 into step 3 to find transportation cost:

Transportation cost = (1/4) * [(1/3) * 72000] = 6000

Therefore, the man pays 6000 rupees on transportation.

how many teaspoons is take to make a 2 cups

Answers

It will take 100 teaspoons to make 2 cups

To get this answer just multiply the volume by the conversion ratio

find the value of y if ac = 3y + 5, cb = 4y -1, ab = 9y - 12, and point c lies between a and b

Answers

Given that point c lies between a and b, the numerical value of y is 8.

What is the numerical value of y?

Given the data in the question;

Point c lies between a and bSegment ab = 9y - 12Segment ac = 3y + 5Segment cb = 4y - 1Value of y = ?

Since point c lines between point a and b on segment ab, segment ab is the addition of segment ac and cb.

Hence,

ab = ac + cb

9y - 12 = (3y + 5) + (4y - 1)

Solve for y by collecting like terms and simplify.

9y - 12 = 3y + 5 + 4y - 1

9y - 12 = 3y + 4y - 1 + 5

9y - 12 = 7y + 4

9y - 7y = 4 + 12

9y - 7y = 4 + 12

2y = 16

y = 16/2

y = 8

Given that point c lies between a and b, the numerical value of y is 8.

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Suppose you are interested in the determinants of college tuition prices. You collect data on a random sample of 500 colleges and universities in the U.S. in 2015. Then you estimate the following model using OLS, where tuition is measured in $1,000s: Tuition=7+4+Rank-0.20*Size+8*Private-0.4*LibArts Rank is the college's rank, ranging from 1 to 5, according to US News and World Report. Size is the number of students who attend the college, measured in 1,000s. Private is a binary variable that equals 1 if the college is private and equals 0 if the college is public. LibArts is a binary variable that equals 1 if the college is a liberal arts college and equals 0 otherwise. Standard error for betalhat=2 Standard error for betalhat=0.7 Standard error for beta2hat=0.12 Standard error for beta3hat=2 Standard error for beta4hat=0.6 R-squared=0.20 What is the predicted cost for a student who attends a private liberal arts college, which has 1,500 students, and a rank of 4.5? Suppose the student in question 1 switches from her college to a public, non-liberal arts college. Her new college has 15,000 more students than her old college, and its rank is 0.5 lower. How much money does she save in tuition?

Answers

The predicted cost for a student attending a arts college with 1,500 students and a rank of 4.5 can be calculated using the given regression model: Tuition = 7 + 4*Rank - 0.20*Size + 8*Private - 0.4*LibArts.

In this case, Rank = 4.5, Size = 1.5 (since it's measured in 1,000s), Private = 1 (since it's a private college), and LibArts = 1 (since it's a liberal arts college). Plugging these values into the model, the predicted tuition cost would be: Tuition = 7 + 4*(4.5) - 0.20*(1.5) + 8*1 - 0.4*1 = $26.1 thousand.

If the student switches from her current private liberal arts college to a public, non-liberal arts college with a rank 0.5 lower and 15,000 more students, we need to adjust the Size and Rank variables accordingly. Assuming the student's current college is still private, the new values would be Rank = 4.5 - 0.5 = 4 and Size = 1.5 + 15 = 16.5 (since it's measured in 1,000s). With the new values, we can calculate the predicted tuition cost for the public college: Tuition = 7 + 4*(4) - 0.20*(16.5) + 8*0 - 0.4*0 = $22.4 thousand.

To determine how much money the student saves in tuition, we calculate the difference between the predicted costs of the two colleges: $26.1 thousand - $22.4 thousand = $3.7 thousand. Therefore, by switching from her current private liberal arts college to a public, non-liberal arts college with a lower rank and larger size, the student saves $3.7 thousand in tuition.

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Find the surface area of a cone whose slant is 6 ft and has a base with a diameter of 4ft. Round your answer to the nearest tenth. (Do NOT type inanyanswer.)

Answers

The diameter of the base of the cone = 4 ft

The radius of the base of the cone, r = 4/2 = 2 ft

Slant height, l = 6ft

\(\text{ Surface area of a cone = }\pi r^2+\pi rl\)

Where r = radius of the base, l = slant height

\(\begin{gathered} \text{surface area of the cone = (3.14 x 2 x 2) + (3.14 x }2\text{ x 6)} \\ =\text{ 12.56 + 37.68} \\ =50.24ft^2\text{ }\approx50.2ft^2\text{ (nearest tenth)} \\ \text{The surface area of the cone is 50.2ft}^2\text{ ( to the nearest tenth)} \end{gathered}\)

Find the surface area of a cone whose slant is 6 ft and has a base with a diameter of 4ft. Round your

Shyam earns ₹ x daily and spends ₹ y per week. What are his savings for 3 weeks?

Answers

To calculate Shyam's savings for 3 weeks, we need to know his daily earnings (₹x) and weekly expenses (₹y). Shyam's savings can be determined by multiplying his daily earnings by 21 (3 weeks).

Since Shyam earns ₹x daily, his total earnings for 3 weeks would be ₹x multiplied by the number of days in 3 weeks, which is 21 days. So, his total earnings for 3 weeks would be 21x.

On the other hand, if Shyam spends ₹y per week, his total expenses for 3 weeks would be ₹y multiplied by the number of weeks, which is 3 weeks. Therefore, his total expenses for 3 weeks would be 3y.

To calculate his savings, we subtract his total expenses from his total earnings: 21x - 3y.

Hence, Shyam's savings for 3 weeks can be represented as 21x - 3y.

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You chose a tile at random from a bag containing 4 A’s, 3 B’s, and 4 C’s. You replace the first tile in the bag and then chose again. Find P(B and B)

You chose a tile at random from a bag containing 4 As, 3 Bs, and 4 Cs. You replace the first tile in

Answers

The probability of P ( B and B ) is given by the equation A = 9/121

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

The value of probability lies between 0 and 1

Given data ,

Let the probability of P ( B and B ) be represented as A

Now , the equation will be

The number of A's in the bag = 4 A's

The number of B's in the bag = 3 B's

The number of C's in the bag = 4 C's

So , the total number of tiles in the bag = 4 A's + 3 B's + 4 C's

Total number of tiles in the bag = 11 tiles

Now , the probability of choosing a B from the bag = number of B's in the bag / Total number of tiles in the bag

Substituting the values in the equation , we get

Probability of choosing a B from the bag P ( B ) = 3/11

Now , the tile is replaced

And , the The probability of P ( B and B ) = P ( B ) x P ( B )

Substituting the values in the equation , we get

P ( B and B ) = P ( B ) x P ( B )

A = ( 3/11 ) x ( 3/11 )

A = ( 9 / 121 )

Therefore , the value of A is 9/121

Hence , the probability P ( B and B ) is 9/121

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Which expressions represent the sum of exactly two terms?

Choose 2 answers:

(A) Xy


(B) M4 + 6n


(C) 3+7s+t


(D) a+c

Answers

The expressions that represent the sum of exactly two terms are (D) a+c and (B) M4 + 6n.

In (A) Xy, there is only one term, Xy. In (C) 3+7s+t, there are three terms, 3, 7s, and t. Therefore, neither of these expressions represent the sum of exactly two terms.

In (D) a+c, there are two terms, a and c. These two terms are added together to give the sum a+c. Similarly, in (B) M4 + 6n, there are two terms, M4 and 6n. These two terms are added together to give the sum M4 + 6n.

Therefore, the correct answers are (D) a+c and (B) M4 + 6n.

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Angela ran for 45 mins, her pace was 9 mph. How far did she run (in miles)?

Answers

Angela ran for 6.75 miles

Laboratory tests show that the lives of
light bulbs are normally distributed with
a mean of 750 hours and a standard
deviation of 75 hours. Find the
probability that a randomly selected
light bulb will last between 750 and 825
hours.
[? ]%

Answers

Answer:

34%

Step-by-step explanation:

LammettHash is right just take it as a whole number (for those of you using acellus)

A bicyclist travels 32 kilometers for 2 hours and then and 13 kilometers for the next hour. Calculate the average speed.

Answers

Answer:

15 km/h

Step-by-step explanation:

To find the speed, divide the total number of kilometers by the total number of hours:

Find the total number of hours:

32 + 13

= 45

Divide this by 3:

45/3

= 15

So, the average speed was 15 km/h

PLS HELP MEEEEE

And please SHOW YOUR WORK

PLS HELP MEEEEEAnd please SHOW YOUR WORK

Answers

\( - 13.8 = \frac{u}{5} - 1.3\)

\( - 13.8 + 1.3 = \frac{u}{5} \)

\( - 12.5 = \frac{u}{5} \)

\( - 12.5 \times 5 = u\)

\( - 62.5 = u\)

the growth of yeast cultures in a medium shows what kind of growth, linear or logarithmic?

Answers

The growth of yeast cultures in a medium typically exhibits logarithmic growth.

In logarithmic growth, the population size increases exponentially over time, meaning that the growth rate is proportional to the current population size.

This results in a characteristic J-shaped curve when the population size is plotted against time.

During the early stages of yeast culture growth, there is a lag phase where the population adjusts to the new environment and begins to adapt and reproduce.

Following this phase, yeast cells enter the exponential or logarithmic growth phase, where the population size increases rapidly.

The growth rate is high during this phase as each yeast cell divides and produces new cells, leading to a doubling of the population within a specific time frame.

Logarithmic growth eventually reaches a stationary phase, where the growth rate slows down, and the population stabilizes.

This occurs when the available nutrients in the medium start to become limited or when waste products accumulate, creating an unfavorable environment for further growth.

Therefore, the growth of yeast cultures in a medium shows logarithmic growth.

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