Sammy counts the number of people in one section of the school auditorium. He counts 18 female students, 16 male students, and 6 teachers. There are 720 people in the auditorium. Consider the probability of selecting one person at random from the auditorium

The line integral is -165/7.

The given line integral is ∫ ds, where is the line segment from (−1,0,2) to (1,−3,8).

The line integral is given by the following formula:

∫ (,,) ds = ∫_^ ((),(),()) ||'()|| d

Here,() = 2 − 1, () = −3, () = 6 + 2and a = 0 and b = 1.

We know that ds = ||'()|| d.

Let us find '() first.'() = 〈2,−3,6〉,

therefore, ||'()|| = √(2² + (−3)² + 6²) = 7

So, ds = 7dt.

We need to find the value of (,,) at each of the parameterizations, so let us find those next.

(,,) = = (−3)(6 + 2) = −18² − 6

Now we can compute the integral:

∫ ds=∫0^1(−18² − 6)7=−162/7 - 3/7= −(165/7)

Therefore, the value of the line integral is -165/7.

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Answer:

62+15= 77

Step-by-step explanation:

Answer:

77

Can I have brain list

Step-by-step explanation:

Answer:

y = x2 − 500x + 60,000

Step-by-step explanation:

area of the fenced-in section = length • width

y  = (x − 200)(x − 300)

= x² − 300x − 200x + 60,000

= x² − 500x + 60,000

3. After 10 minutes, the height of the water is 4 inches

Answer:

1) P(20) = 0

2) P(0) = 0

3) P(10) = 4

4) P(4) = 10

Step-by-step explanation:

We are told that the function P(t) denotes the height of the water in the bath tub.

At P(0) = 0, it means that after 0 minutes, there is no water in the bath tub.

1) If after 20 minutes, the bathtub is empty, then we can depict the function as; P(20) = 0

2) The bath tub starts out with no water. It means at 0 minutes, there was no water in the tub. Thus;

P(0) = 0

3) If after 10 minutes, the height of the water is to be 4 inches, then;

P(10) = 4

4) If the height is 10 inches after 4 minutes, then;

P(4) = 10

Answer: x^5/x^1 = x^4

y^2/y^2 = 1

so

x^4

here is were I got it : https://www.jiskha.com/questions/1673336/1-which-of-the-following-is-equivalent-to-x-5y-2-xy-2-when-x-not-0-and-y-not-0-a

Answer:

x = 74°

Step-by-step explanation:

supplementary angle to 94° = 86°

x = 180° - 20° - 86° = 74°

Answer: 891ft just did this

Step-by-step explanation:

Answer: 891ft I think.

Step-by-step explanation:

Step-by-step explanation:

En la vida diaria estamos rodeados de figuras geométricas como los polígonos y las circunferencias;alguno ejemplos son los siguientes:  las ventanas,las puertas,el reloj de pared,un balón,los vasos de cocina,las llantas de una bicicleta,un automóvil,etc.

Si necesitamos pintar la sala de nuestra casa,debemos saber exactamente la cantidad de pintura que vamos a necesitar ,para eso debemos calcular el área exacta  del  tramo de pared.

Si necesitamos acabar con la maleza de nuestra jardin ,debemos saber exactamente cual es el área de nuestro jardín ,para aplicar el volumen o la proporción exacta del plaguicida.

Conocer el área de un terreno o lote nos da una idea de lo grande que es y del valor que tiene, por eso es importante saber cómo obtener el área.

Answer:

I hope this helps but I do not really know what your school is like.

Step-by-step explanation:

Dear Friend,

I wish you could be here at my school, it is really a great school. Here everyone is so helpful, and you are sure to find lots of friends. The teachers don't care of your race, gender, or backround, or anyone. Everyone is so nice and caring. Also, their food is healthy and delicious, and they have different varieties of food each day so that you have to pick from. Did I also tell you that, safety is the number one thing that is on the list, they help remind you what you can do to stay safe, and they have top security with guards, cameras, locked gates, and drills. Also, during lunch or recess or lunch they have plenty of things you do, like they have benches for relaxing, basketball courts, and a big soccer field. Finally, bullying is not tolerated here. But, if there is anything that is bothering you, we beautiful amazing counselors that will help you through anything. So, I help this makes you want to come over here.

      -Sincerely,

               Your friend.

The quadratic equation 4x² + 5x + 10 = 2x in standard terms can be written as 4x² + 3x + 10 = 0.

A quadratic equation is of the form ax² + bx + c = 0, where a is the coefficient of x², b is the coefficient of x and c is the constant term. Such equations are called quadratic because the degree of the equation is 2 as the highest power of the polynomial is 2. Such equations have 2 roots, whose sum equals [tex]-\frac{b}{a}[/tex] and their product is equal to [tex]\frac{a}{c}[/tex].

Some examples of quadratic equations are 2x² + 3x - 1, 4x² + 16x + 4, etcectra.

The given quadratic equation is 4x² + 5x + 10 = 2x.

4x² + 5x + 10 = 2x

4x² + 5x - 2x + 10 = 2x - 2x

4x² + 3x + 10 = 0.

Hence, in the standard form, the quadratic equation 4x² + 5x + 10 = 2x can be written as 4x² + 3x + 10 = 0.

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When a validity coefficient exceeds 0.90, it is considered to be in the very high range.

Validity coefficients greater than 0.90 are considered in the very high range.

Validity coefficients measure the strength of the relationship between a test or measurement and the construct it is intended to assess. The coefficients range from -1.00 to +1.00, where higher values indicate stronger validity.

When a validity coefficient exceeds 0.90, it is considered to be in the very high range. This suggests that the test or measurement has a high degree of accuracy in assessing the intended construct, demonstrating a strong relationship between the two. Validity coefficients in this range provide strong evidence that the test is measuring what it is intended to measure.

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Answer:

0.73001

Step-by-step explanation:

1 month = 730.01 hours

730.01 * $0.001

= 0.73001

Approximately 0.73 or 0.7.

Answer:

$5367.54

Step-by-step explanation:

9000 = P(1 + .03/12)^207*

9000 = P×1.676744643

P = 5367.54

*207 = 12 x 17.25

Answer:

11.72sq.m

Step-by-step explanation:

Area of the shaded region = Area o triangle - Area of the semicircle

Area of triangle = 1/2 * base * height

Area of triangle = 1/2 * 6 * 6

Area of triangle = 3 * 6

Area of triangle = 18sq. m

Area of semicircle = πr²/2

r is the radius =  2m

Area of semicircle = π(2)²/2

Area of semicircle = 2(3.14)

Area of semicircle = 6.28sq. m

Area of the shaded region = 18 - 6.28

Area of the shaded region = 11.72sq.m

Therefore, there are 23,725 different groups of six members that can be selected from the twenty-three members of the Baltimore Mean Green tennis team.

In this scenario, we are interested in determining the number of different groups of members that can be selected from a total of twenty-three members to form a team of six.

Since the order of selection and specific positions within the team are not considered, we are dealing with combinations rather than permutations.

To calculate the number of combinations, we can use the concept of binomial coefficients. The formula for calculating binomial coefficients is:

Where n represents the total number of items or members (in this case, 23), and k represents the number of items or members to be selected (in this case, 6). The exclamation mark denotes the factorial operation.

Applying the formula, we can calculate the number of combinations as follows:

After performing the calculations, we find that the number of different groups of members that can be selected is:

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Answer: A is 70 B is 45 and C is 50

Step-by-step explanation:

Answer:

24 A-(8+8)

Step-by-step explanation:

Answer: 4(6a-4) This is one equivalent expression of 24a-16.

Answer:

He sliced it diagonally or at an angle.

Step-by-step explanation:

He sliced it diagonally (or at an angle) because the horizontal cross-section of a cylinder is a circle and the vertical cross-section of a cylinder is a rectangle, an oval is between a rectangle and a circle.

The probability that among the students in the sample no more than 7 are female is approximately 0.982 or 98.2%.

To calculate the probability that no more than 7 students in the sample are female, we need to consider the binomial distribution.

The community college student body consists of 40% males, which means 60% are females.

We have a random sample of 8 students.

To get the probability, we can use the binomial probability formula:

P(X ≤ k) = Σ (n choose x) * p^x * (1-p)^(n-x)

Where:

n is the number of trials (sample size)

k is the number of successes (female students)

p is the probability of success (proportion of females in the population)

(n choose x) is the binomial coefficient

In this case:

n = 8 (sample size)

p = 0.6 (proportion of females in the population)

k can take the values 0, 1, 2, 3, 4, 5, 6, or 7

We need to calculate the sum of probabilities for each value of k:

P(X ≤ 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7)

Calculating each term using the binomial probability formula and summing them will give us the desired probability.

Note: The binomial probability formula assumes independent and identically distributed (i.i.d.) trials and a fixed probability of success.

The community college student body consists of 40% males, which means 60% are females.

We have a random sample of 8 students.

Let's calculate the probability:

P(X ≤ 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7)

To calculate each term, we use the binomial probability formula:

P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

Where:

n is the number of trials (sample size) = 8

k is the number of successes (female students)

p is the probability of success (proportion of females in the population) = 0.6

Let's calculate each term and sum them up:

P(X = 0) = (8 choose 0) * (0.6^0) * (0.4^8) = 0.1678

P(X = 1) = (8 choose 1) * (0.6^1) * (0.4^7) = 0.3579

P(X = 2) = (8 choose 2) * (0.6^2) * (0.4^6) = 0.3020

P(X = 3) = (8 choose 3) * (0.6^3) * (0.4^5) = 0.1463

P(X = 4) = (8 choose 4) * (0.6^4) * (0.4^4) = 0.0410

P(X = 5) = (8 choose 5) * (0.6^5) * (0.4^3) = 0.0068

P(X = 6) = (8 choose 6) * (0.6^6) * (0.4^2) = 0.0006

P(X = 7) = (8 choose 7) * (0.6^7) * (0.4^1) = 0.00003

Summing up the probabilities:

P(X ≤ 7) = 0.1678 + 0.3579 + 0.3020 + 0.1463 + 0.0410 + 0.0068 + 0.0006 + 0.00003 ≈ 0.982

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Answer:

Scott spent $53.25 on lattes last month.

Step-by-step explanation:

To find how much Scott spent in total, multiply the number of lattes bought by the cost of each latte:

15 × 3.55

53.25

Step-by-step explanation:

Answer:

A slope of 2/3

Step-by-step explanation:

if you look at the line, starting at the y axis, then just count up 2 and over three, in other graphed lines, just start at the y axis and try to find where the line crosses a specific point, then calculate the rise/run.

Answer:

97.6 cm³

Step-by-step explanation:

Volume of plastic object :

Volume of cylinder - volume of cone

From. The diagram. :

Radius, r = diameter /2 = 4/2

Volume of cylinder = pi*r²h

V = 22/7 * 2² * 8 = 100.53096 cm³

Volume of cone = 1/3*pi*r²h

V = 1/3 * 22/7 * 2² * 8

V = 2.9321531 cm³

(100.53096 - 2.9321531) cm³

= 97.598 cm³

= 97.6 cm³

The measure of ∠F in the regular nonagon is 140 degrees.

In a regular nonagon, all angles have the same measure since it is a regular polygon. To find the measure of ∠F, we need to divide the sum of the interior angles of a nonagon by the number of sides.

The sum of the interior angles of a polygon can be found using the formula:

Sum of interior angles = (n - 2) * 180 degrees

where n represents the number of sides.

For a nonagon with 9 sides, the sum of the interior angles is:

Sum of interior angles = (9 - 2) * 180 degrees = 7 * 180 degrees = 1260 degrees.

Since all angles in a regular nonagon have the same measure, we can find the measure of ∠F by dividing the sum of the interior angles by the number of sides:

Measure of ∠F = Sum of interior angles / Number of sides = 1260 degrees / 9 = 140 degrees.

Therefore, the measure of ∠F in the regular nonagon is 140 degrees.

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These probabilities are calculated based on the given probability mass function and represent the likelihood of specific events occurring with the random variable x.

P(x = 3) represents the probability of getting the value 3 from the random variable x. In this case, the probability is 1/4, which means there is a 1/4 chance of getting the value 3.

P(x < 4) represents the probability of getting a value less than 4 from the random variable x. Since all the values in the given probability mass function are less than 4, the probability is 1, indicating that it is certain to get a value less than 4.

P(x > 3) represents the probability of getting a value greater than 3 from the random variable x. In the given probability mass function, there are 3 values greater than 3 (1/4 + 3/8), so the probability is 3/8.

P(2 < x < 4) represents the probability of getting a value between 2 and 4 (exclusive) from the random variable x. In the given probability mass function, there are two values within this range (1/8 + 1/4), so the probability is 3/8.

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