From a group of 5 math majors and 4 computer science majors a committee consisting of 3 math majors and 2 computer science majors is to be formed. One math major and one computer science major refuse to serve together. If the committee is randomly selected, what's the probability they wind up on the committee together?

Answer:

The rise divided by the run is the slope of a line. The rise and run are used to estimate the slope of a line from its graph.

To determine the intercepts from a graph,  We put y equal to zero and solve for x to find the x-intercept. Similarly, we put x equal to zero and solve for y to find the y-intercept.

The probability of the sample mean contents of the 10 bottles will depend on the distribution of the contents in the population, the sample size, and the sample mean.

The probability of the sample mean contents of the 10 bottles will depend on the distribution of the contents in the population from which the sample is drawn. If the distribution is normal, then the probability of the sample mean can be calculated using the formula:

P(x) = (1 / √(2πσ^2)) * e^(-(x-μ)^2 / (2σ^2))

Where μ is the population mean, σ is the population standard deviation, and x is the sample mean. The probability of the sample mean will be the area under the normal curve between the sample mean and the population mean.

If the distribution is not normal, then the probability of the sample mean can be calculated using the central limit theorem, which states that the distribution of sample means approaches a normal distribution as the sample size increases. In this case, the probability of the sample mean can be calculated using the formula for the normal distribution, with the sample mean as the mean and the standard error of the mean as the standard deviation.
Learn more about probability:https://brainly.com/question/25870256

#SPJ11

Answer:

when two things are said to be in inverse proportion , the two things are connected to each other in a particular way that if one thing increases its quantity the other will decrease .

For example : More the number of workers the less time needed to finish the work.

hope this helps you .

Answer:

A direct and inverse proportion is used to show how the quantities and amount are related to each other. For example, if we say, a is proportional to b, then it is represented as 'a∝b' and if we say, a is inversely proportional to b, then it is denoted as 'a∝1/b'.

What is the direct proportion?

Direct proportion is the relationship between two variables whose ratio is equal to a constant value.

Example

The term direct proportion means that two (or more) quantities increase or decrease in the same ratio. For example, in the purple paint mixture, the ratio of blue to red of 4:3. This does not necessarily mean we every mixture would have 4 red and 3 blue cans.

Formula

In mathematical statements, it can be expressed as y = kx. This reads as “y varies directly as x” or “y is directly proportional as x” where k is constant in the equation.

What is the indirect proportion?

Inverse proportion occurs when one value increases and the other decreases.

Example

More workers on a job would reduce the time to complete the task. They are inversely proportional.

Formula

The equation for inverse proportion is x y = k or x = k/ y. Therefore, for finding the value of the constant k, you can use the known values and then use this formula to calculate all the unknown values.

Answer: (n+4)*3

Step-by-step explanation:Justin has 4 more (+) so that mean the first part of the expreshion would be n+4 then Cindy has 3 times as Justin so then u would have to multply n+4 by 3 to get how much Cindy.:)

Answer:

I think answers is

D

label the x-axis "Pieces of Yarn," and label the y-axis "Length (inches

The best units to label is C. label the x axis "Length (inches)," and y axis "Pieces of Yarn".

A histogram is defined as the pictorial representation of data in the form of a bar graph where the X axis represents the columns of classes and Y axis represents the frequency of those classes.

Given that,

Kelvin cut a 4-foot piece of yarn into pieces.

There may be many pieces of yarns.

He measured the length of each piece of yarn to the nearest inch.

Total length of the yarn = 4 foot = 4 × 12 inches = 48 inches

x axis contains the interval range of the length of the pieces in inches.

This length can be divided in to intervals of length 4.

y axis contains the number of pieces of yarn falling in to that interval.

Hence the correct option is C.

Learn more about Histogram here :

https://brainly.com/question/30354484

#SPJ2

Answer:

y= 132, x= 32.6

Step-by-step explanation:

Let me know if this is right!

Hope it helps

Answer:

m∠ZWX = 105°

Step-by-step explanation:

Properties of a kite,

1). One diagonal of a kite bisects at least one pair of opposite angles.

2). Diagonals of a kite kite are perpendicular to each other.

In ΔWTZ,

m∠WZT = \(\frac{1}{2}(m\angle WZY)\)

              = \(\frac{1}{2}(100)\)

              = 50°

m∠WTZ = 90° [By second property]

m∠WZT + m∠WTZ + m∠ZWT = 180°

50° + 90° + m∠ZWT = 180°

m∠ZWT = 180° - 140°

              = 40°

Similarly, in ΔWTX,

\(m(\angle WXT)=\frac{1}{2}(m\angle WXY)\)

m(∠WXT) = \(\frac{1}{2}(50)\)

                = 25°

m(∠WTX) = 90°

m∠WTX + m∠WXT + m∠TWX = 180°

90° + 25° + m∠TWX = 180°

m∠TWX = 180° - 115°

              = 65°

Since, m∠ZWX = m∠ZWT + m∠TWX

Therefore, m∠ZWX = 40° + 65°

                                 = 105°

Answer:

B. y-intercept = 2 and slope = 3

Step-by-step explanation:

Answer:

y intercept is 2 and slope is - 3

Step-by-step explanation:

Given:

The figure of a circle.

To find:

The measure of LN.

Solution:

We know that the measure of arc is twice of measure of subtended angle on that arc.

In the given figure,

\(m(arc(LN))=2(m\angle LMN)\)

Substituting the value of angle from the given figure, we get

\(m(arc(LN))=2(47^\circ)\)

\(m(arc(LN))=94^\circ\)

Therefore, the measure of arc LN is 94 degrees.

a) The chance that both servers fail is 0.05% (or 0.0005). b) The chance that exactly one of the servers fails is 5.9%. c) The chance that at least one of the servers fails is 5.95%. d) The assumption that the two servers fail independently may not be entirely realistic in all scenarios.

To find the probabilities in this scenario, we can use the probabilities of the main server and backup server failing, assuming they fail independently.

Let's denote:

P(M) = Probability of the main server failing = 0.01 (1%)

P(B) = Probability of the backup server failing = 0.05 (5%)

a) To find the chance that both servers fail, we need to calculate the probability of the intersection (AND) of the events:

P(both servers fail) = P(M) * P(B) = 0.01 * 0.05 = 0.0005 (0.05%)

b) To find the chance that exactly one of the servers fails, we can calculate the probability of the union (OR) of the mutually exclusive events:

P(exactly one server fails) = P(M) * (1 - P(B)) + (1 - P(M)) * P(B)

= 0.01 * (1 - 0.05) + (1 - 0.01) * 0.05

= 0.01 * 0.95 + 0.99 * 0.05

= 0.0095 + 0.0495

= 0.059 (5.9%)

c) To find the chance that at least one of the servers fails, we can calculate the probability of the complement (NOT) of both servers being operational:

P(at least one server fails) = 1 - P(both servers work)

= 1 - (1 - P(M)) * (1 - P(B))

= 1 - (1 - 0.01) * (1 - 0.05)

= 1 - 0.99 * 0.95

= 1 - 0.9405

= 0.0595 (5.95%)

d) The assumption that the two servers fail independently might not be entirely realistic in all scenarios. Factors such as shared infrastructure, common vulnerabilities, or external factors can introduce dependencies between the failure probabilities of the servers. If there are dependencies or shared factors that could cause correlated failures, the assumption of independence becomes less realistic.

To know more about chance,

https://brainly.com/question/26650929

#SPJ11

The frequency distribution table is shown in image. The frequency distribution of the daily rainfall data is highly skewed to right side, indicating that it does not follow a normal distribution.

Using a lower class limit of 0.00 and a class width of 0.20, the frequency distribution for the given data would be as

To determine if the frequency distribution appears to be roughly normal, we can create a histogram of the data

From the histogram, it is clear that the frequency distribution is not roughly normal. The distribution is highly skewed to right side, with the majority of the rainfall data falling in the lower range of the data set.

The mean of the data set is also much lower than the median, which further supports the conclusion that the data is highly skewed. Therefore, we can conclude that the rainfall data does not follow a normal distribution.

To know more about frequency distribution:

https://brainly.com/question/28406412

#SPJ4

--The given question is incomplete, the complete question is given

" The data represents the daily rainfall​ (in inches) for one month. Construct a frequency distribution beginning with a lower class limit of 0.00 and use a class width of 0.20. Does the frequency distribution appear to be roughly a normal​distribution?

data

0.38

0

0.22

0.06

0

0

0.21

0

0.53

0.18

0

0

0.02

0

0

0.24

0

0

0.01

0

0

1.28

0.24

0

0.19

0.53

0

0

0.24

0"--

The state income task owed on a salary of $60,000 per year according to the given ranges is; $3,450.

It follows from the task content that for incomes of 17, 001 and above, the tax rate is; 5.75% .

Hence, it follows that for an individual whose in one is $60,000 per year, the state income tax owed is;

Tax = 5.75% of $60,000

= $3,450

Read more on tax rate;

https://brainly.com/question/9437038

#SPJ1

Answer:

<

Step-by-step explanation:

Step 1: Evaluate 2√40

2√40 = 12.6491

Step 2: Evaluate 7 + √63

7 + √63 = 14.9373

Step 3: Fill in inequality symbol

12.6491 < 14.9373

there is your answer follow and mark me as brainliest

Step-by-step explanation:

length of missing side = sqrt(5^2 + 12^2) = sqrt(169) = 13

distance = sqrt(50^2 +25^2) =sqrt(3125)= 55.90metres

$3400 in past-due business invoices will cost you $503 to collect. The correct option is (a) $503. The Percentage is 58.3%. Option (a) 7/12 58.3% is the correct answer.

1) A total of $503 will be charged to collect $3400 in past-due business invoices. A $27 application fee plus 14% of the total amount collected are charged by the chosen collection agency. Let C be the amount charged for collecting $3400 past-due commercial invoices.

Application fee = $27Therefore, the amount collected is: $3400 - $27 = $3373Amount charged for collecting is $27 + 14% of $3373.

Mathematically, it is expressed as: C = $27 + (14% of $3373)

Simplifying, we get: C = $27 + 0.14 × $3373C = $27 + $472.22C = $499.22

Rounding off C to the nearest cent, we get: C ≈ $499.23

Therefore, a total fee of $503 was incurred to recover $3400 in past-due business invoices. Therefore, the correct option is (a) $503.

2) We have to fill in the percentage that fits the blank. We can use the formula for finding the percentage given below: Percentage = (Fraction / 1) × 100Given fraction is 0.583Percentage = (0.583 / 1) × 100Percentage = 58.3%Therefore, option (a) 7/12 58.3% is the correct answer.

More on invoices: https://brainly.com/question/27824461

#SPJ11

Answer:

Answer: 1/3

Step-by-step explanation:

The probability of getting tails when tossing a coin is 1/2

The probability of rolling a number greater than 2 is 4 (3 4 5 6)

So 4/6 or 2/3 of the time is the probability of throwing the die and getting a number greater than 2.

The combined probability of getting both is 1/2 * 2/3 = 2/6 or 1/3

Answer:

C. X+1 x+8

Here is ur answer

Mark me as brainlest.......

Answer:

Step-by-step explanation:

Total number of tools for both = 564.

Dr Brown used 386 tools for 6 experiments.

average number of tools per experiment used by Dr Brown = \(\frac{386}{6}\)

                                               = 64\(\frac{1}{3}\)

Dr Rachal used 236 tools for 8 experiments.

average number of tools per experiment used by Dr Rachal = \(\frac{236}{8}\)

                                                = 29\(\frac{1}{2}\)

i. The number of more experiment that can be done by Dr Brown = (564 - 386) ÷ (64\(\frac{1}{3}\))

                                 = 2.7668

Dr Brown can do two more experiments.

The number of more experiments that can be done by Dr Rachal = (564 - 236) ÷ (29\(\frac{1}{2}\))

                                  = 11.1186

Dr Rachal can do 11 more experiments.

ii. Number of tools left after Dr Brown's experiments = 564 - 386

                                                            = 178

Number of tools left after Dr Rachal's experiments = 564 - 236

                                                            = 328

Hi there!

\(\large\boxed{\text{9 quarters}}\)

We can let x = dimes and y = quarters.

We know that one dime = $0.10 and a quarter = $0.25, so:

$3.05 = $0.10x + $0.25y

And:

17 = x + y

Solve the system of equations. We can rearrange the bottom equation to create an expression equal to y:

17 - x = y

Substitute this into the top equation for y:

3.05 = 0.10x + 0.25(17 - x)

Distribute and simplify:

3.05 = 0.10x + 4.25 - 0.25x

3.05 = 4.25 - 0.15x

Solve for x:

-1.2 = -0.15x

x = 8

Find y using the above expression:

17 - 8 = y

y = 9

Answer:

x = 4

Step-by-step explanation:

Use the Multiplicative Distribution Law: 8 x + 6 - 5 x + 3 = -3.

Rearrange any unnamed terms towards the equation's left side: 8 x- 5 x = -4 -6 -3

Add similar terms: 3 x = -3 -6 -3

Determine this sum as well as the difference: 3 x = -12

Reduce the GCF (greatest common factor) on both sides of the equation: x = -4

Answer: x = -4

Answer:

x = -4

Step-by-step explanation:

Given equation,

→ -2(-4x - 3) - 5x + 3 = -3

Now the value of x will be,

→ -2(-4x - 3) - 5x + 3 = -3

→ 8x + 6 - 5x + 3 = -3

→ (8x - 5x) + (6 + 3) = -3

→ 3x + 9 = -3

→ 3x = -3 - 9

→ 3x = -12

→ x = -12/3

→ [ x = -4 ]

Hence, the value of x is -4.

Answer:

0.66667

Step-by-step explanation: I converted 24 inches to yards and thats what I got

Answer:

x/7 + 9 = 6

Step-by-step explanation:

Hope this helps! Please give brainliest!

Answer:

81

Step-by-step explanation:

:)

Answer: 25%

Step-by-step explanation: I got it correct.

Answer:

1. 63 sq m

2. 76 sq m

3. about 36.56 sq m or 24 + 4\(\pi\)

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just don’t want to waste my time in case you don’t want me to :)

Answer:

She will save $5.25

Step-by-step explanation:

21 x 25% = 5.25

Answer:

5.25

Step-by-step explanation:

100% -> 21

25%-> 5.25

Answer:

six hundred and sixty-two by twenty-six

Step-by-step explanation:

Answer:

333 remainder 6

Step-by-step explanation:

       333   R 6

26/8664

  - 78

     086

     - 78

        084

          -78

              6

I struggled to show the work formatted how I would normally write this problem out, so I'll also talk through how I got the answer.

The first step in long division by hand is to take the number that is furthest to the left and seeing how many times your divisor (26) will go into it.

In this case the digit in the thoudands place (our furthest left) is 8.  Obivously 26 does not fit into 8. So our answer will have a 0 in the thousands place and we move one place to the right.  

We now have 86.  26 fits into 86 three times and leaves a difference of 8 remaining in the hundreds place, and we move the right again to the tens place.

We again have 86. 26 again fits in three time and leaves a difference of 8. As we move to the right to the ones place we are left with 84.  

26 fits into 84 three times, but we have a difference of 6 this time.

We cannot continue as 26 will never fit into our remainder of 6.

We had a 0 in the thousands place, a 3 in the hundreds place, a 3 in the tens place and a 3 in the ones palce with 6 left over.

So the final answer is 333 remainder 6