The ratio of girls and boys participating in sports at ESTM is 4:5. If the number of girls is 153,
determine the number of boys participating in sports.

The actual price of an item is $1371.49.

Given that, the discount percentage is 12.5% and the selling price is $1200.

A discount is the reduction of either the monetary amount or a percentage of the normal selling price of a product or service.

Let the actual price be x.

Now, x-12.5% of x =1200

⇒ x- 12.5/100 ×x=1200

⇒ x- 0.125x=1200

⇒ 0.875x=1200

⇒ x=1200/0.875

⇒ x=$1371.49

Therefore, the actual price of an item is $1371.49.

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The regression equation to predict the head circumference of a child who is 24.25 inches tall y=17.20 inches

The regression line with the least squares

y = 0.1827*x + 12.4932

Children that are 25.25 inches tall should have a mean head circumference that we can anticipate.

Let x = 25.75

y is thus equal to 0.1827*25.75 plus 12.4932.

b) The mean head circumference of kids who are 25.25 inches tall falls within the 95% confidence interval of

The Mean of the head circumference is 17.327, the standard deviation is 0.219, there are 11 participants, and there are 10 participants in step c.

y = 0.1827*x + 12.4932

The head circumference of a youngster who is 25.25 inches tall must be predicted.

Let x = 25.75

y is thus equal to 0.1827*25.75 plus 12.4932.

y=17.20 inches.

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Answer:

y=-3

Step-by-step explanation:

The domain and the range of the piecewise function in this problem are given as follows:

The function in this problem is defined for all values of x between -6 and 2, except x = 0, and assumes all values of y between 0 and 6, except y = 1, hence the domain and range are given as follows:

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Answer:

C

Step-by-step explanation:

i just guessed but it was correct

Answer: 4 hours

Step-by-step explanation:

okay so you have to know your times tables 2*4=8 so 20*40=80 then if he paid a tip of 10$ that would equal $90 witch is what he paid.

Answer:

work is shown and pictured

Answer:

The answer is 7/20 because 35% as a fraction of 7/20

Answer:x greater than -9

Step-by-step explanation:

Answer:

$180

Step-by-step explanation:

If the perimeter is 30 yards and each yard costs $6 you times 30 and 6 and you get $180

The system A has no solution.

The system B has the solution y=( 3-x )/3

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

System A:

x+3y=9..........(1)

-x-3y=9 ..........(2)

(1) => x=9-3y........(3)

Substitute (3) into (2)

(2) = >  - ( 9-3y ) - 3y = 9

          -9 + 3y - 3y = 9

          -9 =9

This is false.

So, the system has no solution.

System B:

-x-3y=-3..........(1)

x+3y=3..........(2)

(2) => x=3-3y........(3)

Substitute (3) into (1)

-(3-3y)-3y=-3

-3+3y-3y= -3

-3=-3

This is true,

So, the solution is:

x=3-3y

=> 3y= 3-x

=> y=( 3-x )/3

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Answer:

1. ≈46.6 mph

2. ≈13.25 liters

3. 300 feet

Step-by-step explanation:

1. 75 ÷ 1.6093 ≈ 46.6 mph

2. 3.5 × 3.78541178 ≈ 13.25 liters

3. 100 × 3 = 300 ft

1/6 is the answer

multiply all the numerators and then multiply all of the denominators. this gets you 20/120

simplify and you get 1/6

Answer:

0.4

Step-by-step explanation:

Divide 2 by 5 you'll get 0.4

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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Answer:

67 600 000 different licence plates with repetition.

19 656 000 different license plates without repetition.

Step-by-step explanation:

The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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Answer:

7/11 as a fraction if your talking about a fraction

The required probability is 3 √7 / 32.

Given, a square with sides of length 4 units and a red-shaded triangle with sides 3 units, 3 units and 4 units. We need to find the probability that a randomly selected point within the square falls in the red-shaded triangle.To find the probability, we need to divide the area of the red-shaded triangle by the area of the square. So, Area of square = 4 × 4 = 16 square units. Area of triangle = 1/2 × base × height.

Using Pythagorean theorem, the height of the triangle is found as: h = √(4² − 3²) = √7

The area of the triangle is: A = 1/2 × base × height= 1/2 × 3 × √7= 3/2 √7 square units. So, the probability that a randomly selected point within the square falls in the red-shaded triangle is:  P = Area of triangle/Area of square= (3/2 √7) / 16= 3 √7 / 32.

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The correct equation of the circle with center (0,0) that passes through the point (-6,-6) is:

(x + 6)² + (y + 6)² = 72

Please note that the equation represents the circle with center (0,0) and radius √72.\(\)

Answer:

The equation of a circle with center (0,0) that passes through the point (-6,-6) is:

(x - 0)² + (y - 0)² = r²

where r is the radius of the circle. Since the center of the circle is (0,0), we can use the distance formula to find the radius:

r = √(0 - (-6))² + (0 - (-6))² = √(6² + 6²) = √72

Therefore, the equation of the circle is:

x² + y² = 72

The coordinates of the missing endpoint are A(x, y) = (1, 6).

In this problem we know the locations of one end of the line segment and the midpoint and the location of the missing end has to be found by means of the vectorial form of the midpoint formula:

0.5 · A(x, y) + 0.5 · C(x, y) = B(x, y)

0.5 · A(x, y) = B(x, y) - 0.5 · C(x, y)

A(x, y) = 2 · B(x, y) - C(x, y)

If we know that B(x, y) = (- 2, 5) and C(x, y) = (- 5, 4), then the location of the missing end is:

A(x, y) = 2 · (- 2, 5) - (- 5, 4)

A(x, y) = (- 4, 10) + (5, - 4)

A(x, y) = (1, 6)

The coordinates of the missing endpoint are A(x, y) = (1, 6).

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Answer:

.7845

Step-by-step explanation:

In order to construct a Venn diagram for a survey, first enter the cardinality of the universal set to obtain subsequent cardinalities.

The universal set is the set of all possible outcomes, and the cardinality of a set is the number of elements in the set. Once you have the cardinality of the universal set, you can use it to calculate the cardinality of any other set in the survey.

For example, if the universal set has a cardinality of 100, and the survey asks people whether they like dogs or cats, you can calculate the number of people who like dogs by subtracting the number of people who like cats from the total number of people surveyed.

In order to construct a Venn diagram, you will need to draw two or more circles, each representing a set in the survey. The circles should be overlapping to represent the sets that have members in common.

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In order to construct a Venn diagram for a survey, first enter the cardinality of the to obtain subsequent cardinalities region. Then use

Answer:

2(5) + 2√(3^2 + 7^2) = 10 + 2√58 = 25.2

B is the correct answer.

Answer:

7 dollars

Step-by-step explanation:

I hope this helps and i hope you have better days and stop crying because life is way to short for all of that and i dont know you but you dont deserve to cry all the time you should be happy if you want to talk about anything im here!

Answer:

6 rooms

Step-by-step explanation:

3 hours= 60min*3= 180 min

180/30 min each room= 6 rooms

Answer:

\(\sum_{i=1}^n w_i *X_i = 2.8*24 = 67.2\)

And for this case we want a gpa of 3.0 taking in count that in this semester he/ she is going to take 16 credits so then the new mean would be given by:

\( \bar X_f = \frac{\sum_{i=1}^n w_i *X_i+w_f *X_f }{24+16} = 3.0\)

And we can solve for \(\sum_{i=1}^n w_f *X_f \) and solving we got:

\( 3.0 *(24+16) =\sum_{i=1}^n w_i *X_i +\sum_{i=1}^n w_f *X_f \)

And from the previous result we got:

\( 3.0 *(24+16) =67.2 +\sum_{i=1}^n w_f *X_f\)

And solving we got:

\( \sum_{i=1}^n w_f *X_f =120 -67.2= 52.8\)

And then we can find the mean with this formula:

\( \bar X_2 = \frac{\sum_{i=1}^n w_f *X_f}{16}= \frac{52.8}{16}=16=3.3\)

So then we need a 3.3 on this semester in order to get a cumulate gpa of 3.0

Step-by-step explanation:

For this case we know that the currently mean is 2.8 and is given by:

\( \bar X = \frac{\sum_{i=1}^n w_i *X_i }{24} = 2.8\)

Where \( w_i\) represent the number of credits and \(X_i\) the grade for each subject. From this case we can find the following sum:

\(\sum_{i=1}^n w_i *X_i = 2.8*24 = 67.2\)

And for this case we want a gpa of 3.0 taking in count that in this semester he/ she is going to take 16 credits so then the new mean would be given by:

\( \bar X_f = \frac{\sum_{i=1}^n w_i *X_i+w_f *X_f }{24+16} = 3.0\)

And we can solve for \(\sum_{i=1}^n w_f *X_f \) and solving we got:

\( 3.0 *(24+16) =\sum_{i=1}^n w_i *X_i +\sum_{i=1}^n w_f *X_f \)

And from the previous result we got:

\( 3.0 *(24+16) =67.2 +\sum_{i=1}^n w_f *X_f\)

And solving we got:

\( \sum_{i=1}^n w_f *X_f =120 -67.2= 52.8\)

And then we can find the mean with this formula:

\( \bar X_2 = \frac{\sum_{i=1}^n w_f *X_f}{16}= \frac{52.8}{16}=16=3.3\)

So then we need a 3.3 on this semester in order to get a cumulate gpa of 3.0

Answer:

the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.