There are 27 campers this is nine times as many as the number of counselors how many counselors are there

Answer:

13 ppl choose both

Step-by-step explanation:

Hello,

In a restaurant 40% of the customers choose Chinese food

while 65% opt for Pakistani food.

if the restaurant is visited by 260 people then how many opt for both ?

There are 260 people we need to compute

40% of 260 = 40*260/100 = 104 to know the customers choosing Chinese food

65% of 260 = 65 * 260/100 = 169  to know the customers choosing Pakistani food

There are ppl choosing both Chinese and Pakistani, let s note x

we can say that 104 + 169 -x = 260

so x = 273-260=13

in conclusion, 104-13=91 ppl choose Chinese food only

169-13=159 ppl choose Pakistani food only

13 ppl choose both

in total there are 91 + 159 + 13 = 260

hope this helps

The number of people who opt for both Chinese and Pakistani food is 13.

We have,

Let's denote the number of people who choose Chinese food as "C" and the number of people who choose Pakistani food as "P".

We are given that 40% of the customers choose Chinese food, which means

C = 40% of 260.

C = 0.4 * 260

C = 104

Similarly, we are given that 65% of the customers opt for Pakistani food, which means

P = 65% of 260.

P = 0.65 * 260

P = 169

Now, we need to determine the number of people who opt for both Chinese and Pakistani food.

To find this, we can use the principle of inclusion-exclusion.

The total number of people who opt for both is given by:

Total = C + P - Both

We know that the total number of customers is 260, so:

260 = 104 + 169 - Both

Rearranging the equation to solve for Both:

Both = 104 + 169 - 260

Both = 273 - 260

Both = 13

Therefore,

The number of people who opt for both Chinese and Pakistani food is 13.

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Answer:

1. 1 in 5

2. There are 5 colors it could land on, and orange is one of them.

3. 40 different combinations

4. There are 5 colors with 8 corresponding numbers. 5x8=40

Step-by-step explanation:

1) 20%

2) Assuming that on the spinner with color, every section has an equal share, then the probability of landing on orange is \(\frac{1}{5}\) or 20%. This is because, the orange section is one of the five equal sections, or \(\frac{1}{5}\) or the spinner. \(\frac{1}{5}\) in decimal form is 0.2, to convert to a percent, multiply by 100. Hence one gets, 20%.

3) 40

4) There are 5 sections on the spinner with color, hence 5 possible outcomes when one spins the spinner. On the black and white spinner, there are 8 sections, hence 8 possible outcomes when one spins the spinner. To find the total number of outcomes resulting from the two events, one must multiply the total outcomes from one event by the total outcome of the other event. When one does this, they get that there are 40 possible events.

The length x of a side of the small inner square in terms of some of the variables a , b is expressed as x = (b - a).

We have, length x which is side of inner square in above figure. We have to determine the value of x in terms of " a and b." See the figure carefully and draw the important results. As we see,

Also, see in above figure, the side length of blue triangle is equals to the sum of side length of yellow triangle and side length inner square. In expression form , b = x + a . But we want to determine the value of x, so x = b - a.

Hence, required length is ( b - a).

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Complete question:

what is the length x of a side of the small inner square? express your answer in terms of some or all of the variables a , b , and c.

The above figure complete the question.

Answer:

Slope 1; Y-intercept -1

Step-by-step explanation:

The equation is written in the form of y=mx=b (slope-intercept) where m is the slope and b the y-intercept, then find the terms.

The maximum value of the objective function is 31.787

The given parameters are:

Objective function:

Max P = 4x + 5y + 21

Subject to:

y- x < 1

21x + 7y < 25

x>-2,  y>-4

Rewrite the inequalities as equation

y - x = 1

21x + 7y =  25

Add x to both sides in y - x = 1

y = x + 1

Substitute y = x + 1 in 21x + 7y =  25

21x + 7x + 7 =  25

Evaluate the like terms

28x = 18

Divide both sides by 28

x = 0.643

Substitute x = 0.643 in y = x + 1

y = 0.643 + 1

y = 1.643

So, we have:

Max P = 4x + 5y + 21

This gives

P = 4 * 0.643 + 5* 1.643 + 21

Evaluate

P = 31.787

Hence, the maximum value of the objective function is 31.787

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The probability that the student got an 'A' given they are male is approximately 0.12 or 12%.

To find the probability that a student got an 'A' given they are male, we need to use Bayes' theorem:

P(A | Male) = P(Male | A) × P(A) / P(Male)

We can find the values of the terms in the formula using the information given in the table:

P(Male) = (25/54) = 0.46 (the proportion of all students who are male)

P(A) = (17/54) = 0.31 (the proportion of all students who got an 'A')

P(Male | A) = (3/17) = 0.18 (the proportion of all students who are male and got an 'A')

Therefore, plugging these values into the formula:

P(A | Male) = 0.18 × 0.31 / 0.46

P(A | Male) ≈ 0.12

So the probability that the student got an 'A' given they are male is approximately 0.12 or 12%.

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Answer:

third side must be between 3 and 11, non-inclusive

Step-by-step explanation:

Triangle Inequality Theorem:

sum of any two sides must be greater than the third

4 + 7 > x;   x < 11

4 + x > 7;   x > 3

third side:

3 < x < 11

The value of q is 0.35.

The value of p is 0.16.

The value of r is 0.27.

The value of P(A given NOT B) is approximately 0.4211.

To calculate the values of p, q, and r, we can use the information provided in the Venn diagram and the probabilities of events A and B.

Given:

P(A) = 0.43

P(B) = 0.62

P(A∩B) = 0.27

Calculating the value of p:

The value of p represents the probability of event A occurring without event B. In the Venn diagram, p corresponds to the region inside A but outside B.

We can calculate p by subtracting the probability of the intersection of A and B from the probability of A:

p = P(A) - P(A∩B)

= 0.43 - 0.27

= 0.16

Therefore, the value of p is 0.16.

Calculating the value of q:

The value of q represents the probability of event B occurring without event A. In the Venn diagram, q corresponds to the region inside B but outside A.

We can calculate q by subtracting the probability of the intersection of A and B from the probability of B:

q = P(B) - P(A∩B)

= 0.62 - 0.27

= 0.35

Therefore, the value of q is 0.35.

Calculating the value of r:

The value of r represents the probability of both event A and event B occurring. In the Venn diagram, r corresponds to the intersection of A and B.

We are given that P(A∩B) = 0.27, so the value of r is 0.27.

Therefore, the value of r is 0.27.

Finding the value of P(A given NOT B):

P(A given NOT B) represents the probability of event A occurring given that event B does not occur. In other words, it represents the probability of A happening when B is not happening.

To calculate this, we need to find the probability of A without B and divide it by the probability of NOT B.

P(A given NOT B) = P(A∩(NOT B)) / P(NOT B)

We can calculate the value of P(A given NOT B) using the provided probabilities:

P(A given NOT B) = P(A) - P(A∩B) / (1 - P(B))

= 0.43 - 0.27 / (1 - 0.62)

= 0.16 / 0.38

≈ 0.4211

Therefore, the value of P(A given NOT B) is approximately 0.4211.

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The result of the unknown variable x is equivalent to 7

Linear equations are equation that has a leading degree of 1. Given the expression below:

5(3x − 15) + 16 = 5x + 11

Expand the expression

5(3x) - 5(15) + 16 = 5x + 11

15x - 75 + 16 = 5x + 11

15x - 5x - 59 - 11 = 0

10x - 70 = 0

10x = 70

Divide both sides by 10

10x/10 = 70/10

x = 7

Hence the value of x makes the equation true is 7

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Answer:

30 degrees

Step-by-step explanation:

There are 360 degrees of longitude ( 360 degrees is a complete circle)

   It takes 24 hours to complete a complete rotation of the earth

       360 degrees / 24 hours = 15 degrees / hr

15 degrees/ hr * 2 hr = 30 degrees

The correct answer for the required values is 1825.5, 1,812.5, 165.2, 1,690, 1,935, and 245 respectively.

To find the mean, median, standard deviation, first quartile, third quartile, and interquartile range (IQR) of the full-time equivalent number of students (FTES) at Lake Tahoe Community College for the given years, we can solve it using the following formulas for various aspects:

Mean: μ = (Σx)/n

Median: Middle value of the data set

Standard deviation: σ = sqrt[Σ(x-μ)²/n]

First quartile (Q1): Median of the lower half of the data set

Third quartile (Q3): Median of the upper half of the data set

IQR: Q3 - Q1

Year         FTES

2005-06  1,585

2006-07  1,690

2007-08  1,735

2008-09  1,935

2009-10   2,021

2010-11         1,890

1. μ = (Σx)/n = (1,585 + 1,690 + 1,735 + 1,935 + 2,021 + 1,890)/6 = 1,825.2

Therefore the mean is 1,825.2

2. To find the median, arrange the data in ascending order:

1,585, 1,690, 1,735, 1,890, 1,935, 2,021

Since there are an even number of values, the median is the average of the two middle values, which are 1,812.5 and 1,812.5. So, the median is:

Median = (1,812.5 + 1,812.5)/2 = 1,812.5

3. σ = sqrt[Σ(x-μ)²/n]

= sqrt[((1,585-1,825.2)² + (1,690-1,825.2)² + (1,735-1,825.2)² + (1,935-1,825.2)² + (2,021-1,825.2)² + (1,890-1,825.2)²)/6]

= 165.2

4. To find the first quartile (Q1), find the median of the lower half of the data set, which consists of the values 1,585, 1,690, and 1,735.

Since there are an odd number of values, the median is the middle value, which is 1,690. Therefore, Q1 = 1,690.

5. To find the third quartile (Q3), we need to find the median of the upper half of the data set, which consists of the values 1,890, 1,935, and 2,021.

Since there are an odd number of values, the median is the middle value, which is 1,935. Therefore, Q3 = 1,935

6. IQR = Q3 - Q1

Substituting the calculated values in the equation

IQR = 1935 - 1690

= 245

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From the sampling distribution, the correct answer is: Both the center will remain the same, but the spread will decrease.

The center of the sampling distribution will remain the same, which is the expected proportion of even numbers showing on a single roll of the die, which is 1/2 or 0.5. This is because the probability of getting an even number on a single roll of the die does not change with the number of rolls in the experiment.

However, the spread of the sampling distribution will decrease as the number of rolls increases. This is because the larger the sample size, the more precise our estimate of the proportion of even numbers showing on each roll of the die will be. With more rolls, we will have a better idea of the true proportion of even numbers that the die produces.

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Answer:

-2<=y<=-7

Step-by-step explanation:

The standard form of the equation of the quadratic function is y = 1/169x² + 20/169² - 5.41.

A polynomial with all terms of degree two is known as a quadratic form in mathematics ("form" is another term for a homogeneous polynomial). It is common to refer to a quadratic form over K when the coefficients are typically members of an external factors K, such as the real or complicated numbers.

The vertex form of the quadratic equation is given as:

y = a(x - h)² + k

Substitute the value of the vertex and the point to find the value of a:

-5 = a(3 + 10)² - 6

-5 = a(169) - 6

1 / 169 = a

Substitute the value of a in the equation along with the vertex:

y = 1/169(x + 10)² - 6

y = 1/169(x² + 20x + 100) - 6

y = 1/169x² + 20/169² + 100/169 - 6

y = 1/169x² + 20/169² - 5.41

Hence, the standard form of the equation of the quadratic function is y = 1/169x² + 20/169² - 5.41.

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Danny had the sales of total $16,000.

We have,

He earns a 2.5% commission on his first $4000 in sales.

He earns a 7.5% commission on any amount of sales beyond $4000.

Commission earned = $1000

So, 6.25% of x = 1000

6.25/10 x = 1000

0.0625x = 1000

x= 1000/ 0.0625

x= $16,000

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Danny had the sales of total $16,000.

We have,

He earns a 2.5% commission on his first $4000 in sales.

He earns a 7.5% commission on any amount of sales beyond $4000.

Commission earned = $1000

So, 6.25% of x = 1000

6.25/10 x = 1000

0.0625x = 1000

x= 1000/ 0.0625

x= $16,000

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Answer:

Simplify by adding like terms and getting rid of square root.

√x+3=√x+5

Subtract 3 and get like terms

√x = √x + 2

Subtract √x (we actually don't need to square)

0 = 2

This equation is false.

Unless you mean sqrt(x+3) = sqrt(x+5)

Then it simplifies to false aswell.

There are no true values for X/ No solution

A feasible solution to minimizing turbidity value is through the use of an iterative technique, entailing either gradient descent method or simulated annealing method.

The stopping criterion for this approach would be at 0.1 percent.  It involves sequentially determining water turbidity dependent on the coagulant dosages used in adjustment procedures based on preceding calculated values.

By further implementing this process until the specified percentage average is met, ease and accuracy in assessing turbidity levels are achievable.

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Answer:

136 cm²

Step-by-step explanation:

Area of the composite figure = area of the triangle + area of the rectangle

= ½*bh + L*W

Where,

b = 16 - 8 = 8 cm

h = 13 - 7 = 6 cm

L = 16 cm

W = 7 cm

Plug in the values into the equation

Area of the composite figure = ½*8*6 + 16*7

= 24 + 112

= 136 cm²

Answer:

A. h(x) = 6x2 – 10x – 4

Step-by-step explanation:

Got 100% on edge.

The value of h(x) is h(x) = 6x^2 -10x + 4

The functions are given as:

f(x) = 2x - 4

g(x) = 3x + 1

So, we have:

h(x) = f(x)g(x)

This gives

h(x) = (2x - 4) * (3x+ 1)

Evaluate

h(x) = 6x^2 + 2x - 12x - 4

This gives

h(x) = 6x^2 -10x + 4

Hence, the value of h(x) is h(x) = 6x^2 -10x + 4

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The annual interest is $22.

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.

Simple Interest = (Principal × Rate × Time) / 100

Given;

Amount invested= $550

Annual interest= 4%

SI= 550*4*1/100

=5.5*4

=22

Therefore, the simple interest will be $22.

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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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(a) Clicks Width of Door (inches)

1 3.3

2 3.63

3 3.99

4 4.39
(b) The function is y = 3  (1.1)ˣ.

(c) It would take about 15 clicks of the zoom-in button to make the door approximately 3 feet wide on the screen.

(d) It would take about 12 clicks of the zoom-out button to transform the display of the door from 3 feet wide back to a width of approximately 3 inches.

(a)

Clicks Width of Door (inches)

1 3.3

2 3.63

3 3.99

4 4.39

(b) Let x be the number of clicks and y be the width of the door on the screen. Then, we can write the algebraic rule as:

y = 3  (1.1)ˣ

(c) To make the door approximately 3 feet wide on screen, we need to convert 3 feet to inches, which is 36 inches. Then, we need to solve for x in the equation:

3 (1.1)ˣ = 36

Dividing both sides by 3, we get:

(1.1)ˣ = 12

Taking the logarithm of both sides (with base 1.1), we get:

x = log(12) / log(1.1) ≈ 14.7

So, it would take about 15 clicks of the zoom-in button to make the door approximately 3 feet wide on the screen.

(d) To transform the display of the door from 3 feet wide back to a width of approximately 3 inches, we need to find the number of clicks of the zoom-out button that will result in a width of approximately 3 inches. We can use the same formula as before, but with the initial width of 36 inches (since we are zooming out):

36 (0.9)ˣ = 3

Dividing both sides by 36, we get:

(0.9)ˣ = 1/12

Taking the logarithm of both sides (with base 0.9), we get:

x = log(1/12) / log(0.9) ≈ 11.5

So, it would take about 12 clicks of the zoom-out button to transform the display of the door from 3 feet wide back to a width of approximately 3 inches.

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Answer: $3.41

Step-by-step explanation: Since 2 is half of 4 divided 6.82 by 2 and you'll get the answer of 3.41.

Answer:

y=9x-4 the answer needs to be 20 characters so I'm writing this

Answer:

4z+3

Step-by-step explanation:

multiply the z's giving four z's and we don't know the value of z so we can't add 3 to it

Answer: It will be A that is the best answers

The equation to find Amy's earning after tutoring for 15 hours is 300 dollars.

She earn 20 dollars for each hours she tutors.

E = earnings in dollars

H = hours of tutoring

The equation relating E and H are as follows:

E = 20H

Therefore, the equation to find Amy's earning after tutoring for 15 hours is as follows;

E = 20H

E = 20 × 15

E = 300 dollars

Therefore, Amy's tutoring for 15 hours is 300 dollars.

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Answer:

\(|\frac{x}{y} |\)

Step-by-step explanation:

We are given the following expression: \(\sqrt\frac{x^3y^5}{xy^7}\), where x > 0 and y > 0.

We want to simplify it.

To do that, we can first simplify what is under the radical, then take the square root of what is left.

Recall that when simplifying exponents, we don't want any negative or non-integer radicals left.

To simplify what is under the radical, we can remember the rule where \(\frac{a^n}{a^m} = a^{n-m}\).

So, that means that \(\frac{x^3}{x} = x^2\) and \(\frac{y^5}{y^7} = y^{-2}\) .

Under the radical, we now have:

\(\sqrt{x^2y^{-2}}\)

Now, we take the square root of both exponents to get:

\(|xy^{-1}|\)

The reason why we need the absolute value signs is because we know that x > 0 and y > 0, but when we take the square root of of \(x^2\) and \(y^{-2}\) , the values of x and y can be either positive or negative, so by taking the absolute value, we ensure that the value is positive.

However, we aren't done yet; remember that we don't want any radicals to be negative, and the integer of y is negative.

Recall that if \(a^{-n}\), that is equal to \(\frac{1}{a^n}\).

So, by using that,

\(|x * \frac{1}{y} |\)

This can be simplified to:

\(|\frac{x}{y} |\)