100 students are interviewed to see which of biology, chemistry or physics they prefer.
30 of the students are girls. 16 of the girls like biology best.
9 of the boys prefer physics.
2 out of the 34 who prefer chemistry are girls.
What percentage of the students prefer biology?


THE QUICKER THE BETTER TYVM I WILL AWARD MANY POINTS AFTER SO IF U ANSWER CORRECT STAY ONLINE AND ILL GIVE U ALL MY POINTS OK

The equation to find the sum of interior angles of a n-sided polygon is:

(n - 2) * 180

So, we don't know what n is but we can make it look like this:

(n - 2) * 180 = 8,280

Solve for n.

(n - 2) * 180 = 8,280

~Divide 180 to both sides

(n - 2) * 180/180 = 8,280/180

~Simplify

n - 2 = 46

~Add 2 to both sides

n - 2 + 2 = 46 + 2

~Simplify

n = 48

Therefore, the polygon has 48 sides.

Best of Luck!

Answer:

A and E

Step-by-step explanation:

(5n^-3)^4= A    (25n^-6)^2=E

Answer:

A and E  ФωФ

Step-by-step explanation:

Answer:

\([( \frac{ {a}^{ - 2} }{ {b} ^{7} } ) ^{ - 3} \times ( \frac{9}{ {b}^{ - 3} } )] ^{ - 1} \\ \\ \\ \frac{1}{[( \frac{ {a}^{ - 2} }{ {b} ^{7} } ) ^{ - 3} \times ( \frac{9}{ {b}^{ - 3} } )] ^{ 1}} \\ \\ \\ \frac{1}{[ \frac{1}{(\frac{ {a}^{ - 2} }{ {b} ^{7} } ) ^{ 3}} \times ( \frac{9}{ {b}^{ - 3} } )] ^{ 1}} \\ \\ \\ \frac{1}{[ \frac{1}{(\frac{ \frac{1}{ {a}^{2} } }{ {b} ^{7} } ) ^{ 3}} \times ( \frac{9}{ \frac{1}{ {b}^{3} } } )] ^{ 1}} \\ \\ \\ \frac{1}{[(1 \div {( \frac{ \frac{1}{ {a}^{2} } }{ {b}^{7} } }) ^{3}) \times (9 \div \frac{1}{ {b}^{3} } )]} \\ \\ \\ \frac{1}{(1 \times (\frac{ {b}^{7} }{ \frac{1}{ {a}^{2} } } ) ^{3} ) \times (9 \times \frac{ {b}^{3} }{1}) } \\ \\ \\ \frac{1}{( \frac{ {b}^{7} }{ \frac{1}{ {a}^{2} } } ) ^{3} \times 9 {b}^{3} } \\ \\ \\ \frac{1}{ {( {b}^{7} \div \frac{1}{ {a}^{2} }) }^{3} \times 9 {b}^{3} } \\ \\ \\ \frac{1}{( {b}^{7} \times \frac{ {a}^{2} }{1}) ^{3} \times 9 {b}^{3} } \\ \\ \\ \frac{1}{ ({b}^{7} {a}^{2} ) ^{3} \times 9 {b}^{3} } \\ \\ \\ \frac{1}{ {b}^{21} {a}^{6} \times 9 {b}^{3} } \\ \\ \\ = \frac{1}{9 {b}^{24} {a}^{6} } \)

I hope I helped you^_^

1. K(x) = (3x)2 -x + 2 -x + 1

k(x) = g(x) ∘ h(x)

2. K(x) = 2 ^3x + 2

k(x) = g(x) × h(x)

3. K(x) = 2^x - 3x - 2

k(x) = h(x) ÷ g(x))

4. K(x) = 3(2 x) + 2

k(x) = h(x) ∘ g(x)

5. K(x) = 2^x + 3x + 2

k(x) = g(x) - h(x)

6. K(x) = 2^x(3x + 2)

k(x) = g(x) + h(x)

Answer:

The practice of using brass rings to stretch the neck, also known as neck elongation or neck stretching, is traditionally associated with the Padaung ethnic group from Myanmar (formerly known as Burma).

From a sociological perspective, the use of brass rings to stretch the neck can be seen as an example of deviance, which refers to behavior that violates social norms and expectations. Deviance can be either criminal or non-criminal, depending on the specific behavior in question and the cultural context in which it occurs.

In the case of Padaung women, the use of brass rings to elongate the neck is a form of non-criminal deviance, as it does not violate any laws. However, it does violate cultural norms and expectations in many other societies, where elongated necks are not seen as desirable or attractive.

Therefore, the practice of neck elongation among Padaung women can be seen as a form of cultural deviance, in which members of a particular group engage in behavior that is not considered acceptable or desirable by the larger society in which they live. At the same time, it can also be seen as an expression of cultural identity and tradition, as the practice has been passed down through generations and is an important part of Padaung culture and heritage.

According to the question c is a circle centered at the​ origin, oriented​ counterclockwise, that encloses disk r in the plane The two-dimensional curl of the vector field \(\(f = 2x, 2y\) is \(0\)\).

To calculate the curl of a vector field, we use the formula \(\(\text{curl}(f) = \frac{\partial f_y}{\partial x} - \frac{\partial f_x}{\partial y}\)\).

For the given vector field \(\(f = 2x, 2y\)\), the partial derivatives are

\(\(\frac{\partial f_y}{\partial x} = 0\) and \(\frac{\partial f_x}{\partial y} = 0\)\).

Substituting these values into the curl formula, we have \(\(\text{curl}(f) = 0 - 0 = 0\)\).

Therefore, the two-dimensional curl of the vector field \(\(f = 2x, 2y\) is \(0\)\).

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To find a point estimate of the mean from the given data set, we simply take the average of the sample values.

To find the mean of a data set, you need to add up all the values in the data set and then divide the total by the number of values in the data set.

The formula for the mean is:

Step 1: Add the sample values. 14 + 20 + 22 + 26 + 33 = 115

Step 2: Divide the sum of the sample values by the number of observations (n = 5).

115 ÷ 5 = 23

The point estimate of the mean for the simple random sample of 5 observations from the 400-element population is 23.

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Answer: -3a^5b^6

Step-by-step explanation:

Answer:

-3a^5b^6

Step-by-step explanation:

The image shows a square with a circle cut out of it.

We need to compute the area of the square and subtract the area of the circle to find the shaded area.

The area of a square of side length x is:

We are given the side length of x = 10 ft, thus:

The area of a circle of radius r is given by:

The circle inside the square has a diameter of d=10 ft, thus its radius is r = 10/2 = 5 ft. Calculating the area:

Using π=3.14:

Now, subtracting areas:

Rounding to the next integer, the required area is approximately 22 square ft

Choice: 22 square ft

1)The expression 4x^2-16x+12/x^2-9 is undefined when the denominator, x^2-9, equals zero because division by zero is undefined.

x^2-9 equals zero when x equals 3 or x equals -3. Therefore, the expression is undefined at x = 3 and x = -3. In all other cases, the expression is defined.

2) The given expression is:

(5-2x)/(x+2) + x^2/(x^2-4) - 5

To simplify this expression, we need to first find the LCD (least common denominator) of the two fractions. The denominator of the first fraction is x+2, and the denominator of the second fraction is x^2-4, which can be factored as (x+2)(x-2). So the LCD is (x+2)(x-2). Now we can rewrite the expression with this common denominator:

[(5-2x)(x-2) + x^2(x+2) - 5(x+2)(x-2)] / [(x+2)(x-2)]

Expanding the brackets and simplifying, we get:

(-x^3 - 3x^2 - 3x + 5) / [(x+2)(x-2)]

This expression is undefined when the denominator, (x+2)(x-2), equals zero because division by zero is undefined.

(x+2)(x-2) equals zero when x equals -2 or x equals 2. Therefore, the expression is undefined at x = -2 and x = 2. In all other cases, the expression is defined.

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The critical value for the 0.05 level of significance is k = 21.

To find the critical value, we can use the binomial distribution. The binomial distribution models the number of successes in n independent Bernoulli trials, each with probability p of success. In this case, the number of successes is the number of dog owners who say Woof Chow is their regular brand, and the number of trials is n = 100. The null hypothesis is that the true market share of Woof Chow is 25%, and the alternative hypothesis is that it is not 25%.

We can use the binomial cumulative distribution function (CDF) to find the critical value. The CDF gives the probability of getting k or fewer successes in n trials, given a probability of success p. The critical value is the smallest value of k such that the CDF at k is greater than or equal to 1 - alpha, where alpha is the level of significance. In this case, alpha = 0.05.

So, we want to find the smallest k such that:

P(X <= k) >= 1 - 0.05

where X is a random variable representing the number of dog owners who say Woof Chow is their regular brand. We can use a binomial calculator or a software package to calculate the binomial CDF, or we can use a table of critical values for the binomial distribution.

The critical value for the 0.05 level of significance is k = 21. This means that if the true market share of Woof Chow is 25%, then the probability of getting 23 or more dog owners who say Woof Chow is their regular brand is less than 0.05. Since the observed number of dog owners who say Woof Chow is their regular brand is 23, which is greater than 21, we can reject the null hypothesis that the true market share is 25%.

This means that based on the survey results, we cannot conclude that Woof Chow has a market share of 25%. The survey results suggest that Woof Chow may have a market share that is greater than 25%.

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This code will print the value of the variable 'x', which is '1'. The 'printline()' function is used to display the value of a variable on the output screen.

Looking into the code we can see that:
1. The variable 'y' is declared and initialized with a value of '1'.
2. The variable 'x' is declared and initialized with a value of '1' as well.
3. The 'printline()' function is called and the variable 'x' is passed as an argument.
4. The 'printline()' function prints the value of 'x' on the output screen.

Since the value of 'x' is '1', the code will print '1' as the output.

In summary, the code will print the value of the variable 'x', which is '1'.

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Answer:

Step-by-step explanation:

A squiggly line can refer to a variety of different shapes or patterns. To create an equation using cosine that resembles a squiggly line, you can use a combination of sine and cosine functions with different frequencies and amplitudes. Here's an example equation that produces a squiggly pattern:

y = A * cos(B * x) + C * sin(D * x)

In this equation, A, B, C, and D are constants that you can adjust to modify the shape and characteristics of the squiggly line. By experimenting with different values for these constants, you can create various squiggly patterns. Keep in mind that the specific equation may vary depending on the exact shape and features you have in mind for the squiggly line.

Answer:

Below

Step-by-step explanation:

Mar 15 = 310.85

Apr 3 = 313.71

Apr 14 = 138.71

Jun 20 = 953.21

Part Two

Balance on Jun 30 = 616.11

Step-by-step explanation:

the lines next to the numbers are the numbers in order

The series 6.6 + 15.4 + 24.2 + ... for 5 terms can be represented by the summation notation Σ^4_n=0 (8.8 + 6.6n), where n ranges from 0 to 4.



The correct answer is option b: Σ^4_n=0 (8.8 + 6.6n).In summation notation, the given series can be written as:Σ^4_n=0 (8.8 + 6.6n)

Let's break it down:

- The subscript "n=0" indicates that the summation starts from the value of n = 0.- The superscript "4" indicates that the summation continues for 4 terms.- Inside the parentheses, "8.8 + 6.6n" represents the pattern for each term in the series.

To find the value of each term in the series, substitute the values of n = 0, 1, 2, 3, 4 into the expression "8.8 + 6.6n":

When n = 0: 8.8 + 6.6(0) = 8.8

When n = 1: 8.8 + 6.6(1) = 15.4

When n = 2: 8.8 + 6.6(2) = 22.0

When n = 3: 8.8 + 6.6(3) = 28.6

When n = 4: 8.8 + 6.6(4) = 35.2

Thus, the series 6.6 + 15.4 + 24.2 + ... for 5 terms can be expressed as Σ^4_n=0 (8.8 + 6.6n).

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If we locate those points in a chart, we can see this is a linear function.in

in order to calculate its slope, we can select any two points (x1,y1) and (x2,y2)

and use the following formula

let's use

Answer:  b

Step-by-step explanation:

I think

Answer:

9

Step-by-step explanation:

-5 + (-18) +32

-23 + 32

32 -23

Answer:

Im pretty sure just one

x= -20

Step-by-step explanation:

The  values of x will f(x) > 0 for x < 0, and f(x) < 0 for -6 < x < 0 and x > -6.

To determine the values of x for which f(x) > 0, we need to find the intervals where the function is positive. Let's analyze the function f(x) = x*-x³-6x².

First, let's factor out an x from the expression to simplify it: f(x) = x(-x² - 6x).

Now, we can observe that if x = 0, the entire expression becomes 0, so f(x) = 0.

Next, we analyze the signs of the factors:

1. For x < 0, both x and (-x² - 6x) are negative, resulting in a positive product. Hence, f(x) > 0 in this range.

2. For -6 < x < 0, x is negative, but (-x² - 6x) is positive, resulting in a negative product. Therefore, f(x) < 0 in this range.

3. For x > -6, both x and (-x² - 6x) are positive, resulting in a negative product. Thus, f(x) < 0 in this range.  

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A mixed number is simply a whole number and a fraction written together.

The mixed numbers between 1 and 2 on the number line can be any range of fractions written along with 1 as the whole. It cannot include the number 2, because if that happens, then the number has crossed beyond 2 on the number line.

An example of a mixed number that comes between 1 and 2 on the number line is

Answer:

3/11

Step-by-step explanation:

3/11 equals 0.272727273 which is a repeating decimal.

Answer:

3/11 is C

Step-by-step explanation:

Answer:

550x100

Step-by-step explanation:

First divide 75000 by 100 to get 750. Then divide 750 by 15 to get 50. Lastly multiply 50 by 11 to get 550 and multiply 50 by 4 to get 100.

Answer:

16x+6

Step-by-step explanation:

5x+2+3x+1+5x+2+3x+1 =

16x+6

Answer:

16x + 2

Step-by-step explanation:

\(\boxed{\begin{minipage}{4 cm}\underline{Perimeter of a rectangle}\\\\$P=2(w+l)$\\\\where:\\ \phantom{ww}$\bullet$ $w$ is the width. \\\phantom{ww}$\bullet$ $l$ is the length.\\\end{minipage}}\)

Given expressions:

To write an expression for the perimeter of the rectangle, substitute the given expressions for the width and length into the perimeter formula:

\(\begin{aligned}\implies \textsf{Perimeter} &=2\left(5x+2+3x-1 \right)\\ &= 2(5x+3x+2-1)\\&=2(8x+1)\\&=16x+2\end{aligned}\)

The correct answer is histogram showing data from a sample

Normal distribution: Normal distribution is also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean. In graphical form, the normal distribution appears as a "bell curve".

it is asked about the normal distribution is an example of

the correct option is c

i.e., Answer is histogram showing data from a sample

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Answer: 2/3

Step-by-step explanation: 1/2 converted to 6ths is 3/6 add them together and it’s 4/6 simplify that and it’s 2/3

Realicando una division, veremos que necesitan 1,040 barras de pan para alimentar a las 65 personas durante los 80 días

Primero sabemos que para alimentar durante 24 días a 40 trabajadores la empresa necesita 192 barras de pan.

Entonces el numero de barras de pan requerido por día para los 40 trabajores es obtenido con la división:

192/24 = 8

Es decir, se necesitan 8 barras de pan por día.

Esas 8 barras de pan se dividen entre 40 trabajadores, entonces lo que cada trabajador necesita se obtiene con la división:

8/40 = 0.2 barras de pan por día.

Entonces, si tenemos 65 personas, estas necesitaran:

65*0.2 = 13 barras de pan por día.

Y si se las debe alimentar drante 80 días, entonces la cantidad total necesaria será:

13*80 = 1,040

Se necesitan 1,040 barras de pan para alimentar a 65 personas durante 80 días

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The general solution to this differential equation is: x(t) = c1*e^(-t/4)*cos(sqrt(15)t/4) + c2e^(-t/4)*sin(sqrt(15)*t/4, To make the system critically damped, we would need to increase the damping constant to 8 N⋅s/m.

The differential equation that describes the system is:

mx'' + bx' + k*x = 0

where m is the mass, b is the damping constant, and k is the spring constant.

Substituting the given values, we get:

4x'' + 2x' + 8*x = 0

Dividing by 4, we get:

x'' + (1/2)x' + 2x = 0

The general solution to this differential equation is:

x(t) = c1*e^(-t/4)*cos(sqrt(15)t/4) + c2e^(-t/4)*sin(sqrt(15)*t/4)

where c1 and c2 are arbitrary constants.

This system is underdamped because the damping constant is less than the critical damping constant, which is:

2sqrt(mk) = 2sqrt(48) = 8 N⋅s/m

To make the system critically damped, we would need to increase the damping constant to 8 N⋅s/m.

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Answer:

6 to 4

Step-by-step explanation:

In the absence of price discrimination, the profit-maximizing conditions would be different, and the resulting prices, quantities, total revenue, total cost, and profit would also be different.

To find the profit-maximizing conditions with third-degree price discrimination, we need to equate the marginal revenue (MR) to the marginal cost (MC) for each market segment.

Given the demand equations and the total cost function:

Market 1: Q1 = 160 - 10P1 or P1 = 16 - 0.1Q1

Market 2: Q2 = 200 - 20P2 or P2 = 10 - 0.05Q2

Total Cost: TC = 120 + 4Q

To find the profit-maximizing prices and quantities, we equate MR to MC for each market segment:

MR1 = MC:

16 - 0.2Q1 = 4

0.2Q1 = 12

Q1 = 60

MR2 = MC:

10 - 0.1Q2 = 4

0.1Q2 = 6

Q2 = 60

Substituting the quantities back into the demand equations, we find:

P1 = 16 - 0.1(60) = 10

P2 = 10 - 0.05(60) = 7

The total revenue (TR) can be calculated by multiplying the price by the quantity for each market segment:

TR = P1 * Q1 + P2 * Q2

TR = (10 * 60) + (7 * 60)

TR = 600 + 420

TR = 1020

The total cost (TC) is given by the total cost function:

TC = 120 + 4Q

TC = 120 + 4(60 + 60)

TC = 120 + 480

TC = 600

Finally, the profit (π) can be calculated by subtracting total cost from total revenue:

π = TR - TC

π = 1020 - 600

π = 420

In the absence of price discrimination, the profit-maximizing conditions would be different, and the resulting prices, quantities, total revenue, total cost, and profit would also be different.

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