Representative Sample? You want to determine the typical dietary habits of students at acollege. State whether each of the following samples is likely to be representative and explainwhy or why not.Sample 1: Students in a single sororitySample 2: Students majoring in public healthSample 3: Students who participate in intercollegiate sports'Sample 4: Students enrolled in a required history class

All the functions which are bounded below and bounded above are,

⇒ Absolute value function.

⇒ sine function function

⇒ cosine function

We have to given that;

To check all the functions which are bounded below and bounded above.

Here, All the functions are,

⇒ Absolute value function.

⇒ sine function function

⇒ cosine function

⇒ Square root function

⇒ natural logarithmic function

Since, The Absolute value function is defined as;

⇒ | f (x) |

And,

⇒ | f (x) | ≤ M ; for M > 0

⇒ - M ≤ f (x) ≤ M

Hence, It is a bounded function.

Since, Sine and cosine function are defined in between 1 and - 1.

Hence, Both are bounded below by - 1 and bounded above by 1.

So, Both function are bounded.

Since, Square root function is defined as,

⇒ √ f (x) ≥ 0

Hence, It is only bounded below.

Since, When the base of the logarithm is greater than 1, log(x) approaches negative infinity as x approaches 0.

Hence, It is not bounded.

Thus, All the functions which are bounded below and bounded above are,

⇒ Absolute value function.

⇒ sine function function

⇒ cosine function

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Answer:

\(x=7.8\)

Step-by-step explanation:

In any right triangle, the sine of an angle is equal to its opposite side divided by the hypotenuse.

The angle marked 33 degrees has its opposite side labelled with \(x\) and the hypotenuse of the triangle labelled with 12.

Thus, we can set up the following equation to solve for \(x\):

\(\tan 33^{\circ}=\frac{x}{12},\\x=12\tan 33^{\circ}=7.79289111837\approx \boxed{7.8}\)

Answer:

Step-by-step explanation:

tan(33°) = x/12

x = 12tan(33°) ≈ 7.79

Answer:

Revenue : 47.77

Units Sold : 28.91

Step-by-step explanation:

The revenue is the amount that is received after selling the goods manufactured. VanArsdel's sold good of manufactured in Alberta. Goods manufactured by VanArsdel's is considered as 100 percent out of which it sold 28.91 % of units in Alberta. The revenue percentage is 47.77%.

None of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

To find the slope of the red line given that it is perpendicular to the green line with a slope of 2, we can use the property that perpendicular lines have slopes that are negative reciprocals of each other.

The slope of the green line is 2. To find the slope of the red line, we take the negative reciprocal of 2. The negative reciprocal is obtained by taking the reciprocal (flipping the fraction) and changing the sign.

Reciprocal of 2: 1/2

Negative reciprocal: -1/2

Therefore, the slope of the red line is -1/2.

However, none of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

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Answer:

16000 i think

Step-by-step explanation:

Answer:

16000

Step-by-step explanation:

You turn the 9 to a six since the 9 is bigger than 5

Answer:

1/15 or 0.0667

Step-by-step explanation:

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bardai

chatgpt

red marble on the first draw is 2/6, or 1/3

red marble on the second draw, given that the first marble was red, is 1/5

(1/3) * (1/5) = 1/15

Answer: 7.48611111111111111........

Step-by-step explanation:

Answer: CORRECT ME IF I'M WRONG. 9.84722222222 OR 9 61/72

Step-by-step explanation:

3

1

8

+8

2

9

−1

1

2

=

25

8

+8

2

9

−1

1

2

=

25

8

+

74

9

−1

1

2

=

817

72

−1

1

2

=

817

72

−

3

2

=

709

72

=9

61

72

The total length of the centre circle and the two goal semi circles to be repainted is 56.22 meters.

Given:

Court lines are 50 mm wide.

Court paint covers 7 m² per litre of paint.

The centre circle is a complete circle, so the circumference is given by the formula: Circumference = 2πr

Radius of the entire circle = 9 m / 2 = 4.5 m

Radius of the centre circle = 4.5 m - 0.05 m (converted 50 mm to meters) = 4.45 m

Circumference of the centre circle = 2π(4.45 m) = 27.94 m

Next, let's calculate the circumference of the semicircles:

The semicircles are half circles, so the circumference is given by the formula: Circumference = πr

The radius (r) of the semicircles is the same as the radius of the entire circle, which is 4.5 m.

Circumference of a semicircle = π(4.5 m) = 14.14 m

Total length = Circumference of the centre circle + 2 x Circumference of a semicircle

Total length = 27.94 m + 2(14.14 m)

Total length = 56.22 m

Therefore, the total length of the centre circle and the two goal semi circles to be repainted is 56.22 meters.

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The resulting conditional mean squared error of the LMS estimator, given N=3 is 0.0383746

In general, the conditional distribution of X given Y does not equal the conditional distribution of Y given X, i.e., pX|Y(x|y)≠pY|X(y|x). If X and Y are independent, discrete random variables, then the following are true: pX|Y(x|y)=pX(x)pY|X(y|x)=pY(y)

The full conditional for a given node (parameter) is simply the product of the probability model (likelihood or prior) for that node and its parent node (at least up to a constant of proportionality).

1) fY|N(y∣N=3)=84 y^6 (1-y)^3

2)0.0636363

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In order to ensure that depositors would get their money back in the event of a bank run, the Federal Reserve can support the bank by lending money to the bank. Option C

When a bank faces a bank run and experiences a sudden and significant increase in withdrawals, it may face a liquidity crisis, meaning it may not have enough cash on hand to meet the withdrawal demands of depositors.

To address this, the Federal Reserve can step in and provide loans or emergency funding to the bank to help it meet its obligations to depositors. This lending can help stabilize the bank's liquidity position and ensure that depositors are able to access their funds.

It is important to note that this support from the Federal Reserve is typically done on a temporary basis and is intended to help address the immediate liquidity needs of the bank during a crisis

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Answer:

The values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

Step-by-step explanation:

To find the values of b that satisfy the equation 3(2b + 3)² = 36, we can solve for b by following these steps:

1. Divide both sides of the equation by 3:

  (2b + 3)² = 12

2. Take the square root of both sides:

  √[(2b + 3)²] = √12

  Simplifying further:

  2b + 3 = ±√12

3. Subtract 3 from both sides:

  2b = ±√12 - 3

4. Divide both sides by 2:

  b = (±√12 - 3) / 2

  Simplifying further:

  b = (±√4 * √3 - 3) / 2

  b = (±2√3 - 3) / 2

Therefore, the values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

Answer:

70910 not sure

Step-by-step explanation:

70.91 x 10 = 709.1 70.91 x 100 = 7,091 70.91 x 1,000 =

Answer:

y = x + 1

Step-by-step explanation:

We can use the point-slope formula to write an equation for this problem. The point-slope formula states: (y - y1) = m (x - x1)

Where m is the slope and (x1 y1) is a point the line passes through.

Substituting the slope and the values from the point in the problem gives:

( y - 2 ) = 1 ( x - 1 )

We can also solve for y to put the equation in slope-intercept form. The slope-intercept form of a linear equation is: y = mx + b

y - 2 = 1x - 1

y = 1x - 1 + 2

y = 1x + 1 or y = x + 1 * are just the same.

The equation of the line is y = x + 1.

The slope and direction of a line are represented numerically by the line's gradient, which is also referred to as the slope in mathematics.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

And here we have the slope,

m = 1

And (x₁ ,y₁)  =  (1,2)

then the equation of line is

y - y₁ = m (x - x₁)

y - 2 = (x -1)

y = x + 1

Therefore, the equation is y = x + 1.

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Answer:

Step-by-step explanation:

Given two segment measures in a right triangle diagram, you want the values of the other measures.

The Pythagorean theorem can be used to find y:

  BC² = BD² +CD²

  65² = y² +25²

  y² = 65² -25² = 3600

  y = √3600 = 60

The proportionality of corresponding sides in similar triangles can be used to find the remaining measures.

  short side/hypotenuse = 25/65 = 65/(25+x)

  25 +x = 65²/25 = 169

  x = 144

And for z, we can use ...

  long side/hypotenuse = AB/AC = BD/BC

  z/169 = 60/65

  z = 169(12/13) = 156

The triangle measures are ...

Answer:

37/24

Step-by-step explanation:

You have to find the common denominator.

Answer:

Yes, yes it is

Step-by-step explanation:

I play Mayonnaise in my band

Answer:

  168 cm²

Step-by-step explanation:

The shaded area is equal to the area of the rectangle after subtracting the area of the triangle. The relevant area formulas are ...

  A = LW . . . . rectangle area is the product of length and width

  A = 1/2bh . . . triangle area is half the product of the base and height

__

The rectangle area is ...

  A = (15 cm)(14 cm) = 210 cm²

The triangle area is ...

  A = 1/2(14 cm)(6 cm) = 42 cm²

The shaded area is ...

  rectangle area - triangle area

  = 210 cm² -42 cm² = 168 cm² . . . . shaded area

This set {σ ∈ S4 : σ(1) = 3} contains the following elements of S4: (13), (23), (34), (24), (14), (12)(34), (13)(24), (14)(23) and  {σ ∈ S4 : σ(2) = 2} this set contains the following elements of S4: (12), (21), (13)(24), (24)(13).

The group S4 is the symmetric group on 4 elements and has 24 elements. We can list all of its subgroups as follows:

Now, let's consider the sets (a) and (b) and see if they are subgroups of S4:

(a) {σ ∈ S4 : σ(1) = 3}

This set contains the following elements of S4: (13), (23), (34), (24), (14), (12)(34), (13)(24), (14)(23). We can check that this set is not a subgroup of S4 because it is not closed under composition. For example, (13)(14) = (134) is not in the set.

(b) {σ ∈ S4 : σ(2) = 2}

This set contains the following elements of S4: (12), (21), (13)(24), (24)(13). We can check that this set is a subgroup of S4. It is closed under composition, inverses, and contains the identity element e. Therefore, it is a subgroup of S4 and is isomorphic to the cyclic group of order 2.

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Answer:

1/2 3,4 (3,2) ab)

Answer:

here ,

origin means (0,0)

so ,

h and k are 0 and 0

and diameter ( d) is 4

r = d/2

using formula

(x-h)^2 +( y-k)^2 = r^2

(x-0)^2 +( y-0)^2= 2^2

x^2+y^2= 4 is the equation.

The correct value of Jessica's new net salary will be $225.

To calculate Jessica's new net salary after a 5% raise, we need to first determine Sarah's gross salary. We know that Sarah's net salary is $212.50, and 15% of her gross salary is withheld each week.

Let's denote Sarah's gross salary as "G." We can set up the following equation:

G - 15% of G = $212.50

Simplifying the equation, we have:

G - 0.15G = $212.50

0.85G = $212.50

G = $212.50 / 0.85

G ≈ $250

Sarah's gross salary is approximately $250.

Now, to find Jessica's new net salary after a 5% raise, we can calculate 5% of Sarah's gross salary and subtract the withheld amount:

Jessica's net salary = Sarah's gross salary + 5% of Sarah's gross salary - 15% of Sarah's gross salary

Jessica's net salary = $250 + 0.05 * $250 - 0.15 * $250

Jessica's net salary = $250 + $12.50 - $37.50

Jessica's net salary = $225

Therefore, Jessica's new net salary will be $225.

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Answer:

the answer is: B i hope that will help

Step-by-step explanation:

Answer:

its definitely B. Good luck

Answer:

2/35

Step-by-step explanation:

\(\frac{9}{35}-\frac{1}{5}=\frac{9}{35}-\frac{7}{35}=\frac{2}{35}\)

Answer:  

So...

   a0 = -2

   a1 = (a0)2 - 4  =  4 - 4  =  0

   a2 = (a1)2 - 4 = ((a0)2-4)2 - 4 =...=  02 - 4  = -4  

       For an+1, you may use the previous term (an) if you have just calculated it, rather than calculating it recursively again

   a3 = (-4)2 - 4 = 12

The first four terms in the sequence are -2, 0, -4, 12.

Step-by-step explanation:

This recursive sequence is defined as follows:

 a0 = -2      [the first term]

 an+1 = an2 - 4     [for all other terms, n≥0; note that you cannot find a0 using this line]

Note that this is not "BASE" for a number base, but it is "SUB" for subscript, indicating the term.  Sometimes, sequences are written with the first term being a1 and sometimes sequences are written with the first term being a0.  This is because there are situations that make one or the other more convenient (for example, starting with elapsed time t=0 makes sense).

To find the value of later terms, a recursive definition requires that you find the value of the previous term, which requires that you find the value of the previous term, which requires that you find the value of the previous term, which requires that you find the value of the previous term, ... which requires that use the value of the first term.

That's why (joke) that the dictionary definition of "recursive" is "see recursive."

Answer:

D. m= 60, n= 24

Step-by-step explanation:

The angle marked with blue, will also be 2m° (Vertically opposite angles)

So, 2m = (4m- 120)°

2m = 120°

m = 60°

Now, (4m-120)° = 5n° (Vertically opposite angles)

[4(60)- 120]° = 5n°

240- 120 = 5n°

120/5° = n

n= 24°

Hope this helps you

Answer:

3 cups

Step-by-step explanation:

Answer: To factor the expression -14 - (-8) completely using the distributive law, we need to simplify it first.

Remember that when we subtract a negative number, it is equivalent to adding the positive number. Therefore, -(-8) is the same as +8.

So the expression becomes:

-14 + 8

To factor it further using the distributive law, we can rewrite the addition as multiplication by distributing the -14 to both terms:

(-14) + (8) = -14 * 1 + (-14) * 8

This can be simplified as:

-14 + 8 = -14 * 1 + (-14) * 8 = -14 + (-112)

Finally, we can add the two negative numbers to get the result:

-14 + (-112) = -126

Therefore, the expression -14 - (-8) factors completely as -126.

The probabilities, we need to understand the context. Assuming we are working with a fair six-sided die, where each face has an equal chance of landing, here are the probabilities:

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