Our skating club is going on a field trip. To cover the cost of the trip we are collecting \$8$8dollar sign, 8 from each of the 999 members of the club. We also raised \$178$178dollar sign, 178 at a car wash

The probability that the employee is a member of the hourly staff, given that the employee is female is 0.2 or 1/5.

We need to calculate the conditional probability of an employee being a member of the hourly staff given that the employee is female and all the employees of a local university have been classified according to gender and job type.

The given table is:

Job Male Female

Faculty Member 55 5

Salaried Staff 15 25

Hourly Staff 30 20

The total number of female employees is 5+25+20 = 50.

We are to find the probability of an employee being a member of the hourly staff given that the employee is female.

Mathematically, we can represent the above statement as:

P(Hourly staff | Female) = P(Hourly staff and Female) / P(Female)

Now,P(Hourly staff and Female) = 20/100 * 50 = 10P(Female) = 50/100

Therefore,P(Hourly staff | Female) = P(Hourly staff and Female) / P(Female)= 10 / 50= 1/5 = 0.2

Therefore, the probability that the employee is a member of the hourly staff, given that the employee is female is 0.2 or 1/5.

Know more about probability here:

https://brainly.com/question/25839839

#SPJ11

Answer:

x=4

Step-by-step explanation:

3(x-1)=9

3x-3=9

3x=9+3

3x=12

x=4

Answer:

x=4

Step-by-step explanation:

\(3(x - 1) = 9\)

\(x - 1 = 9 \div 3\)

\(x - 1 = 3\)

\(x = 3 + 1\)

\( x = 4\)

Answer:

B. -22.27

Step-by-step explanation:

To find the answer just divide the acount balance after he bought the 4 shirts by 4 to get the answer of what his balance would be  after he bought 1 shirt.

Hey there!

35 years of age is her past age so to find out her age you just simply ADD her past age (which is like 35) plus 13.

YOUR EQUATION:

35 + 13 = current age

See with basic addition (two digit) you work from BACK to FORTH. So let’s do it that way to make it “easier” to solve.

5 + 3 = 8

3 + 1 = 4

Therefore, your answer SHOULD be: 48

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

15.0721 quarts

Step-by-step explanation:

20 cups= 5.0721 quarts

10 quarts+5.0721=15.0721 quarts

if you need to convert the quarts just search 15.0721 quarts to whatever you need to convert it too.

hope this helps

The system of equations that matches the given graph is:

A. 3x - 6y = 12

9x - 18y = 36

To determine which system of equations matches a given graph, we need to analyze the slope and intercepts of the lines in the graph.

Looking at the options provided:

A. 3x - 6y = 12

9x - 18y = 36

B. 3x + 6y = 12

9x + 18y = 36

Let's analyze the equations in each option:

For option A:

The first equation, 3x - 6y = 12, can be rearranged to slope-intercept form: y = (1/2)x - 2.

The second equation, 9x - 18y = 36, can be simplified to 3x - 6y = 12, which is the same as the first equation.

In option A, both equations represent the same line, as they are equivalent. Therefore, option A does not match the given graph.

For option B:

The first equation, 3x + 6y = 12, can be rearranged to slope-intercept form: y = (-1/2)x + 2.

The second equation, 9x + 18y = 36, can be simplified to 3x + 6y = 12, which is the same as the first equation.

In option B, both equations also represent the same line, as they are equivalent. Therefore, option B does not match the given graph.

for such more question on system of equations

https://brainly.com/question/4262258

#SPJ8

Answer:

13

Step-by-step explanation:

a) The range is 14.

b) The sample variance is 20.78.

c) The sample standard deviation is 4.56.

a) Range

The range of a given set of data values is the difference between the maximum and minimum values in the set. In this case, the maximum value is 15 and the minimum value is 1. So, the range is:

Range = maximum value - minimum value

Range = 15 - 1

Range = 14

b) Sample variance

To calculate the sample variance, follow these steps:

1. Calculate the sample mean (X). To do this, add up all of the data values and divide by the total number of values:

n = 9

∑x = 7 + 4 + 6 + 12 + 8 + 15 + 1 + 9 + 13 = 75

X = ∑x/n = 75/9 = 8.33

2. Subtract the sample mean from each data value, square the result, and add up all of the squares:

(7 - 8.33)² + (4 - 8.33)² + (6 - 8.33)² + (12 - 8.33)² + (8 - 8.33)² + (15 - 8.33)² + (1 - 8.33)² + (9 - 8.33)² + (13 - 8.33)² = 166.23

3. Divide the sum of squares by one less than the total number of values to get the sample variance:

s² = ∑(x - X)²/(n - 1) = 166.23/8 = 20.78

Therefore, the sample variance is 20.78 (rounded to two decimal places).

c) Sample standard deviation

To calculate the sample standard deviation, take the square root of the sample variance:

s = √s² = √20.78 = 4.56

Therefore, the sample standard deviation is 4.56 (rounded to two decimal places).

Learn more about range here: https://brainly.com/question/30339388

#SPJ11

Therefore, the standard deviation for the number of people with the genetic mutation in groups of 500 is approximately 6.726.

To find the standard deviation for the number of people with the genetic mutation in groups of 500, we can use the binomial distribution formula.

Given:

Probability of having the genetic mutation (p) = 0.09

Sample size (n) = 500

The standard deviation (σ) of a binomial distribution is calculated using the formula:

σ = √(n * p * (1 - p))

Substituting the given values:

σ = √(500 * 0.09 * (1 - 0.09))

Calculating the standard deviation:

σ ≈ 6.726 (rounded to three decimal places)

To know more about standard deviation,

https://brainly.com/question/12991013

#SPJ11

The main difference between an area variance and a use variance is that area variance allows for an exception to zoning regulations related to the physical characteristics of a property, while use variance allows for an exception to regulations related to the intended use of a property.

An area variance is typically granted when a property owner is unable to comply with zoning regulations related to setbacks, building height, lot coverage, or other physical characteristics of a property.

In contrast, a use variance allows a property owner to use their property for a purpose that is not permitted under the current zoning regulations. This may include using a residential property for commercial purposes or using a commercial property for residential purposes.

Use variances are generally more difficult to obtain than area variances, as they require a showing of a unique hardship or practical difficulty that cannot be addressed through other means.

For more questions like Variance visit the link below:

https://brainly.com/question/30712824

#SPJ11

The number of guests that were at the party is 26. This was illustrated in the probability.

From the information, it was stated that twenty six soft-drinks were consumed. Therefore, it implies that there were 26 people.

From the information, 9 guests had raspberry and 13 had cola while the remaining was shared equally. Therefore, the raspberry consumed will be 11 and 15 cola were drank.

The probability that a randomly chosen party guest had a cola drink will be:

= 15/26

The probability that a randomly chosen party guest had a raspberry drink will be:

= 11/26

The probability of the people who had both a raspberry and cola drink will be 0 since everyone had different drinks.

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

Answer:

10%

Step-by-step explanation:

10+90= 100 students total

10 is 10% of 100

1. The equation for the cost of adult tickets is:

$8.97 x number of adult tickets

The equation for the cost of child tickets is:

$6.79 x number of child tickets

The equation for the cost of renting out the theater is:

$190

2. Yes, you can get at least 5 adult tickets and 4 kids tickets.

3. The most tickets you could have bought and met the given conditions is 9 adult tickets and 8 kids tickets.

4.  It would be a better deal to rent out the theater if you had more than 24 people.

You must be aware of the costs of adult and child tickets in order to determine if you can purchase at least 5 adult tickets and 4 child tickets. A cinema ticket for an adult costs $8.97 on average, while a ticket for a child costs $6.79 on average. 4 children's tickets would cost $27.16 and 5 adult tickets would cost $44.85 as a result. You would then have $202.49 remaining, which would be enough to pay for 7 additional child tickets. Thus, you can purchase at least 5 adult and 4 child tickets.

The most tickets you could have purchased while still fulfilling the requirements is nine adult and eight child tickets. The total price would be $135.05. The adult tickets would cost $80.73 and the child tickets would cost $54.32. You would now have $89.45, which is insufficient to purchase any additional tickets.

Renting out the theater might be a great option if you have more than 24 individuals. This is due to the fact that hiring out the theater costs $190 and allows for a maximum of 24 guests, both adults and children. Consequently, renting the theater would be less expensive than purchasing individual tickets if you had more than 24 individuals.

Learn more about rent here brainly.com/question/14980502

#SPJ1

The total cost for Charlie to make 40 copies of flyers is $6

Given the fact that 25 copies of flyers is costing him $3.75, we will then need to find the cost of each copy of the flyer. The figure is calculated using unit rates as follows:

25x = 3.75

    x = 3.75/25

    x = 0.15

so each copy of a flyer will cost him $0.15

To make 40 copies of flyers, Charlie will need to spend:

$0.15 × 40 = $6

So the amount of money Charlie will have to spend in order to make a copy of 40 flyers is $6

To learn more about unit rates visit: https://brainly.com/question/4895463

#SPJ1

Answer: Charlie will pay 6$.

Step-by-step explanation:

An inequality that could represent the possible values for the number of tables sold, t, and the number of chairs sold, c, that would satisfy the constraint : 150c + 750t ≥ 12000

Let the number of chairs sold = c

Let the number of tables sold = t

the price for each chair = $150

the price for each table = $750

The inequality that could represent the number of tables and chairs sold will be:

(150 × c) + (750 × t) ≥ 12000

150c + 750t ≥ 12000

Therefore,  an inequality that could represent the possible values for the number of tables sold, t, and the number of chairs sold, c, that would satisfy the constraint : 150c + 750t ≥ 12000

Learn more about an inequality here:

https://brainly.com/question/19003099?referrer=searchResults

#SPJ1

Answer:

9

Step-by-step explanation:

Answer:

The correct option is;

A. 453

Step-by-step explanation:

The given numbers are not related by factors, because the factors of 779 are 1, 19, 41, and 779

Similarly the factors of 926 are 1, 2, 463, 926

Therefore, the numbers are related by direct association of each digit of the central number to each of the three numbers on the vertices of the triangle as follows;

For the first triangle, we have the numbers at the vertices are; at the top, 14, at the bottom left is 21, and at the bottom right is 36, we have;

Top number divided by 2 gives 14/2          \({}\)      = 7

Bottom left number divided by 3 gives 21/3   \({}\) = 7

Bottom right number divided by 4 gives 36/4 = 9

From which we have the number at the center which is 779

Similarly, for the second triangle, we have the numbers at the vertices are; at the top, 18, at the bottom left is 6, and at the bottom right is 24, we have;

Top number divided by 2 gives 18/2          \({}\)      = 9

Bottom left number divided by 3 gives 6/3   \({}\)  = 2

Bottom right number divided by 4 gives 24/4 = 6

From which we have the number at the center which is 962

Therefore, when we have, the numbers at the vertices as follows;

At the top, 8, at the bottom left is 15, and at the bottom right is 12, we have;

Top number divided by 2 gives 8/2          \({}\)      = 4

Bottom left number divided by 3 gives 15/3   \({}\) = 5

Bottom right number divided by 4 gives 12/4 = 3

From which we have the number at the center is 453.

The time you must wait in line at the grocery store is best characterized as a continuous random variable.

The random variable described, the time you must wait in line at the grocery store, can be categorized as a continuous random variable.

A continuous random variable is one that can take on any value within a specific range or interval. In this case, the time you must wait in line can theoretically take on any positive real value, from a fraction of a minute to potentially an extended period of time.

For instance, you may wait 2.5 minutes, 3.726 minutes, or even 10.152 minutes. The time is not restricted to specific discrete values or intervals; it can be infinitely subdivided.

In contrast, a discrete random variable would be one that can only take on a countable number of distinct values. For example, the number of people in line at the grocery store would be a discrete random variable since it can only be a whole number (1 person, 2 people, 3 people, etc.).

Additionally, it is important to note that the random variable in question is not qualitative. Qualitative variables are typically categorical or non-numerical in nature, representing qualities or attributes rather than quantities.

Examples of qualitative variables could be the color of a car or the type of grocery items purchased.

In this case, the time you wait in line is a quantitative variable measured in minutes and is thus not qualitative. Therefore, the time you must wait in line at the grocery store is best characterized as a continuous random variable.

To know more about variable refer here :

https://brainly.com/question/15078630#

#SPJ11

The correct answer is (b) all real numbers except odd multiples of π/2. The domain of validity for cscθ (cosecant) is restricted because cosecant is undefined when the sine of an angle is zero.

In the trigonometric identity cscθ = 1/sinθ, the denominator sinθ becomes zero at odd multiples of π/2 (such as π/2, 3π/2, 5π/2, etc.), resulting in a division by zero error. Therefore, the cosecant function is not defined for these values of θ.

For all other real numbers θ, the sine function is non-zero and well-defined, allowing us to calculate the reciprocal of the sine and determine the value of the cosecant. Hence, the domain of validity for cscθ is all real numbers except odd multiples of π/2, as stated in option (b).

It's important to note that in trigonometry, the domain of validity is determined by avoiding any values that would lead to undefined expressions or division by zero errors.

Learn more about trigonometric identity here:

https://brainly.com/question/12537661

#SPJ11

The domain of validity for csc θ = 1/sin θ is all real numbers except multiples of π, because at these points the sine function equals zero, and division by zero is undefined.

In mathematics, the cosecant function (csc), is defined as the reciprocal of the sine function, or 1/sinθ. The domain of a function are all the possible input values that will yield real numbers (output). For the csc function, its domain includes all real numbers except where the denominator is zero because division by zero is undefined.

In the unit circle context, sine equals zero at 0, π, 2π, ..., and the negative counterparts. Basically, these are the multiples of π. Thus, for the csc function, the domain is all real numbers except multiples of π, which matches option d in your choices.

The domain of validity for csc θ = 1/sin θ is all real numbers except multiples of π.

https://brainly.com/question/34222210

#SPJ12

Answer: 5,040

Step-by-step explanation: The value of 7P6 is 5,040. To evaluate this, you can use the formula for permutations: nPr = n! / (n - r)!, where n is the total number of items and r is the number of items being selected. In this case, n = 7 and r = 6, so 7P6 = 7! / (7 - 6)! = 7! / 1! = 5,040.

Answer:

2(5.5x -1.5) + 2(6x +2.5) = 94 (You may want to simplify!)

Step-by-step explanation:

add up to perimeter which = 94

Answer:

x=1 and y= 6

Step-by-step explanation:

and for y its a positive cause their both negitives

Answer:

36

Step-by-step explanation:

A ratio 4:6 means the one quantity is 4/10 of the full thing:

While the other quantity is 6/10 of the full thing

So the smaller angle will be 4/10 of the the complementary angle.

Complementary angle is 90.

So 4/10 of 90 is 36.

Answer:

P = 10n + 50

Step-by-step explanation:

fixed charge 50

10 / unit

for n units of water charge is n * 10

Water bill is P

P = n * 10 + 50

P = 10n + 50

Management should hire 25 additional vendors to maximize the number of sodas sold.

Let x be the number of additional vendors that management hires. Then the total number of vendors is 40 + x, and the yield per vendor is 200 - 4x (since the yield decreases by 4 for each additional vendor).

The total number of sodas sold is the product of the number of vendors and the yield per vendor:

Total sodas sold = (40 + x) * (200 - 4x)

To maximize the number of sodas sold, we take the derivative of this expression with respect to x and set it equal to zero:

d/dx [(40 + x) * (200 - 4x)] =

Expanding and simplifying, we get:

-8x² + 120x + 8000 = 0

Dividing both sides by -8, we get:

x² - 15x - 1000 = 0

Using the quadratic formula, we solve for x:

x = (15 ± sqrt(15² + 411000)) / 2

x = (15 ± 35) / 2

x = -10 or x = 25

Since we can't hire a negative number of vendors, the only sensible solution is x = 25. Therefore, management should hire 25 additional vendors to maximize the number of sodas sold.

To learn more about quadratic formula visit: https://brainly.com/question/2615966

#SPJ11

Answer:

4x –11y < -5, x=7

Step-by-step explanation:

\(\huge\mathtt\colorbox{white}{See attachment pl}\)

An essential concept in mathematics and can be applied to a variety of fields such as physics, economics, and engineering.

The slope of a line in a Cartesian plane is a numerical representation of its steepness and inclination relative to the x-axis.

The slope of a straight line refers to the rise or fall of the y-coordinate as it moves from left to right along the x-axis.

There are a few different ways to interpret the slope of a line, but generally it can be thought of as the rate at which the dependent variable changes with respect to the independent variable.
When the slope is positive, the line rises from left to right, indicating that the dependent variable is increasing as the independent variable increases.

In other words, there is a direct relationship between the two variables.

Conversely, when the slope is negative, the line falls from left to right, indicating that the dependent variable is decreasing as the independent variable increases.

This means that there is an inverse relationship between the two variables.
The magnitude of the slope can also provide information about the relationship between the variables.

If the slope is close to zero, then the relationship between the two variables is weak or nonexistent.

However, if the slope is large in magnitude (i.e. close to 1 or -1), then there is a strong relationship between the variables.

A slope of zero indicates that there is no change in the dependent variable as the independent variable changes, while a slope of undefined means that the line is vertical and has no slope.
For more related questions on essential concept:

https://brainly.com/question/31923013

#SPJ8

To find the mean number of calls per hour, we divide the average number of calls per day by 24:

Mean number of calls per hour = 19.2/24 = 0.8

a) To find the probability that in a randomly selected hour the number of calls is exactly 2, we use the Poisson distribution formula:

P(X = 2) = (e^-0.8)*(0.8^2)/(2!) = 0.213

b) To find the probability that in a randomly selected hour the number of calls is more than 2, we can use the complement rule and subtract the probability of getting 0, 1, or 2 calls from 1:

P(X > 2) = 1 - P(X = 0) - P(X = 1) - P(X = 2)

P(X > 2) = 1 - (e^-0.8)*(0.8^0)/(0!) - (e^-0.8)*(0.8^1)/(1!) - (e^-0.8)*(0.8^2)/(2!)

P(X > 2) = 0.579

c) To find the probability that in a randomly selected hour the number of calls is less than 2, we add the probabilities of getting 0 or 1 call:

P(X < 2) = P(X = 0) + P(X = 1)

P(X < 2) = (e^-0.8)*(0.8^0)/(0!) + (e^-0.8)*(0.8^1)/(1!)

P(X < 2) = 0.264.

Learn more about mean:

https://brainly.com/question/1136789

#SPJ11

Step-by-step explanation:

To find probability ratio wise

Sports Cars: Total Cars

3 + 3 + 2 = 8 total cars

2 sports cars

Ratio is 2:8

Reduces to 1:4

D) in the question

1002, 3001

Answer:

a) 503 b) 307 c) 56789 D) 1002

Step-by-step explanation:

Numbering starts from the left hand side and are arranged in ascending order.

A) (530, 503)

503 < 530

503 is lesser than 530 and as such it is encountered first when numbers are written, hence 503 will appear on the left side of the number line when both are written.

B.) (370, 307)

370 > 307

307 comes before 370, therefore it will appear on the left side of 370 when illustrated on a number line.

C.) (98765, 56789)

98765 > 56789

56789 will appear on the leftside of 98765 when both number are illustrated on a number line.

D.) 1002 < 3001

1002 will appear on the leftside of 98765 when both number are illustrated on a number line.