rosa puts 2/3 cup of vegetables mixture in 1 tortilla. she has 8 cups of vegetable mixture.

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:

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:

Try 57/125

Step-by-step explanation:

Step 1: 0.456 = 456⁄1000

Step 2: Simplify 456⁄1000 = 57⁄125

Answer:

Step 1: 0.456 = 456⁄1000

Step 2: Simplify 456⁄1000 = 57⁄125

Hope this helps! （づ￣3￣）づ╭❤～

It looks like the given PMF is

\(P(X=x) = \begin{cases}1/2^x & \text{if }x\in\{1,2,3,\ldots\} \\ 0 & \text{otherwise}\end{cases}\)

Then we have

\(P(X\le x) = \displaystyle \sum_{i=1}^x P(X=i) \\\\ ~~~~~~~~~~~~~~ = \sum_{i=1}^x \frac1{2^i} \\\\ ~~~~~~~~~~~~~~ = \frac12 + \frac1{2^2} + \frac1{2^3} + \cdots + \frac1{2^x}\)

Multiply both sides by 1/2.

\(\dfrac12 P(X\le x) = \dfrac1{2^2} + \dfrac1{2^3} + \dfrac1{2^4} + \cdots + \dfrac1{2^{x+1}}\)

Subtract this from \(P(X\le x)\).

\(\dfrac12 P(X\le x) = \dfrac12 - \dfrac1{2^{x+1}} \\\\ P(X\le x) = 1 - \dfrac1{2^x}\)

So the CDF is

\(F(x) = \begin{cases} 0 & \text{if } x < 1 \\\\ 1 - 1/2^x & \text{if } x \ge 1 \end{cases}\)

(a) Using the CDF and probability of the complement,

\(P(X > 4) = 1 - P(X \le 4) \\\\ ~~~~~~~~~~~~~~= 1 - F(4) \\\\ ~~~~~~~~~~~~~~= 1 - \dfrac1{2^4} = \boxed{\dfrac{15}{16}}\)

(b) We can use the CDF again here.

\(P(2 < X \le 5) = P(X \le 5) - P(X \le 2) \\\\ ~~~~~~~~~~~~~~~~~~~~= F(5) - F(2) \\\\ ~~~~~~~~~~~~~~~~~~~~= \left(1 - \dfrac1{2^5}\right) - \left(1 - \dfrac1{2^2}\right) = \boxed{\dfrac7{32}}\)

Answer:

11331 non fiction books

Step-by-step explanation:

Given :

Total books = 67982

Childrens section = 1/3 of total

Number of children's books :

(1/3 * 67982) = 22660 books (approximately)

Books left :

67982 - 22660 = 45,322 books

Fiction books:

75% of remaining

0.75 * 45322

33991.5

= 33991 books

If the only section left is non - fiction, then

Non - fiction books = (45322 - 33991) = 11331

Answer:

table d

Step-by-step explanation:

functions can not have the same input twice

Answer:

A B and C repreasent functions

Step-by-step explanation:

The electrical resistance varies directly as the square of the voltage and inversely as the electric power, and the equation that relates them isR ∝ V²/PR = kV²/PR = V²/P. This relationship can be used to calculate the electrical resistance of the wire or component for any given voltage and power.

The electrical resistance is the measure of the difficulty in passing electric current through a wire or an electrical component. It depends on various factors, such as the material, dimensions, and temperature of the wire.The given statement says that the electrical resistance varies directly as the square of the voltage and inversely as the electric power.

In mathematical terms, this relationship can be expressed as R ∝ V²/PR = kV²/P where R is the electrical resistance, V is the voltage, P is the electric power, and k is the constant of proportionality. The constant k depends on the material, dimensions, and temperature of the wire or component.

The given statement implies that the constant k is the same for the given wire or component, and it is not affected by the voltage or the power.To find the value of k, we can use the given values of V, P, and R.

According to the statement, if the voltage is 20 volts and the electric power is 5 watts, then the electrical resistance is 80 ohms. Therefore,R = kV²/PR = k(20²)/5R = 400k/5R = 80 ohms

Substituting the value of R in the equation, we get80 = 400k/5k = (80 x 5)/400k = 1. Therefore, the equation that relates the electrical resistance, voltage, and power isR = V²/PThe constant of proportionality k is 1 for the given wire or component.

Therefore, the electrical resistance varies directly as the square of the voltage and inversely as the electric power, and the equation that relates them isR ∝ V²/PR = kV²/PR = V²/P. This relationship can be used to calculate the electrical resistance of the wire or component for any given voltage and power.

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Step-by-step explanation:

we will draw 30⁰ angle first and then we will bisect it then it will become 15⁰ angle

Your well-wisher

Answer:

14=300X

X=14/300

X=.04667 OR 4.67%

Step-by-step explanation:

100*.08+200*.03=(100+200)X

8+6=300X

14=300X

X=14/300

X=.04667 OR 4.67% SOLUTION ANS.

If this process is wrong, let me know

Answer: answer is C

Step-by-step explanation:

for find x
(5x+30)+5x=90
 5x+30+5x=90 add like terms
after,
 10x+30=90
10x+30-30=90-30
 10x/10=60/10
   x = 6

to obtain answer as C
it mean
(5x+30)+5x=90
(5(6)+30)+5(6)=90 we know x=6 so add 6 to x and multiply and obtain answer is correct!
30+30+30=90

Answer:

9/10 chance or 0.9

Step-by-step explanation:

very likely to happen since you would have a slim chance of picking 1

The difference in volume between the two boxes would be = 156in³

To calculate the difference in volume between the boxes is the find the individual volume of the boxes using the formula ;

Volume = length×width×height.

For box 1 = length = 12in, width = 7¾in, height= 2in

Vol = 12×7¾×2 = 186in³

For box 2; length = 3⅔in, width = 3½in, height= 2⅓in

Volume = 3⅔×3½×2⅓ = 30

The difference = 186-30 = 156in³

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Answer:

55 1/10 yd

Step-by-step explanation:

26 + 10 + 3/5 + 10 + 1/5 + 8 + 3/10 =

= 54 + 4/5 + 3/10 =

= 54 + (8 + 3)/10 =

= 54 + 11/10 =

= 54 + 10/10 + 1/10 =

= 54 + 1 + 1/10 =

= 55 1/10

Answer:

55\(\frac{1}{10}\)

Step-by-step explanation:

Convert all the mixed numbers to fractions with a common denominator (10) then add them up:

26 + 53/5 + 51/5 + 83/10 =

26 + 106/10 + 102/10 + 83/10 =

26 + 291/10 =

26 + 29\(\frac{1}{10}\) = 55\(\frac{1}{10}\)

Answer:

288π or 904.78

Step-by-step explanation:

We know that the diameter of this beach ball is 12 inches and we want to determine how much air it can hold using the formula for the volume of a sphere which is \(\frac{4}{3}\) × π × r³ where 'r' is the radius. In the question we are given the diameter not the radius but we can half the diameter to find the radius so 12 ÷ 2 = 6. The radius of the beach ball is 6 inches so let's work out how much air it can hold.

Volume = \(\frac{4}{3}\) × π × r³

→ Let's substitute in the values

Volume = \(\frac{4}{3}\) × π × 6³

→ Simplify

Volume = \(\frac{4}{3}\) × π × 216

→ Simplify further

Volume = 288π or 904.78

The amount of air can the sphere shape beach ball hold is 208π or 904.78 inches.

The "set of all  points  in 3 dimensional space is lying the same distance from the given points or center" is called sphere.

According to the question,

Diameter of sphere shape beach ball is 12inches

Radius of sphere shape beach ball is 12/2 = 6inches

Volume of sphere = \(\frac{4}{3}\) × π × r³  

= \(\frac{4}{3}\) × \(\frac{22}{7}\) × (6)³

= 904.78inches

Hence, the amount of air can the sphere shape beach ball hold is 208π or 904.78 inches.

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The given function f(x) = x^2 is an even function with period p=2. The Fourier series for f(x) over the interval [-1, 1] is (1/3) + Σ[ n=1 to infinity ] [ (-1)^(n+1) * (8/π^3) * (sin(nπx/2)/n^3) ].

The given function is an even function because it is symmetric about the y-axis. To find the Fourier series, we need to calculate the Fourier coefficients:

a0 = (1/p) * ∫[0,p] f(x) dx = (1/2) * ∫[-1,1] x^2 dx = (1/2) * (2/3) = 1/3

an = (1/p) * ∫[0,p] f(x) cos(nπx/p) dx = (1/2) * ∫[-1,1] x^2 cos(nπx/2) dx = 0 (because the integrand is an odd function)

bn = (1/p) * ∫[0,p] f(x) sin(nπx/p) dx = (1/2) * ∫[-1,1] x^2 sin(nπx/2) dx = (-1)^(n+1) * (8/π^3) * (1/n^3)

Therefore, the Fourier series for f(x) is:

f(x) = (1/3) + Σ[ n=1 to infinity ] [ (-1)^(n+1) * (8/π^3) * (sin(nπx/2)/n^3) ]

This series converges to f(x) for all x in the interval [-1,1].

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Answer:

18

Step-by-step explanation:

its 18 I think I believe

The circle on a graph by drawing the center point and then drawing a circle around it with a radius of 6.

To graph the circle with the equation (x - 3)² + (y + 3)² = 36, we can start by finding the center and radius of the circle.

The equation of a circle in standard form is (x - h)² + (y - k)² = r² (h, k) represents the center of the circle and r represents the radius.

Comparing the given equation with the standard form, we can see that the center of the circle is (3, -3) and the radius is √36 = 6.

Using this information, we can proceed to plot the circle on a graph:

Plot the center point: (3, -3).

From the center point, move 6 units in each direction (up, down, left, and right) to determine the points on the circle.

Up: (3, -3 + 6) = (3, 3)

Down: (3, -3 - 6) = (3, -9)

Left: (3 - 6, -3) = (-3, -3)

Right: (3 + 6, -3) = (9, -3)

Connect the plotted points to form a circle.

The resulting graph should look like this:

    |            • (3, 3)

    |  

    |    •

    |                     •

__|_____________________________

    |

    |

    |

    |  

    |    • (3, -3)

The center of the circle is denoted by a solid dot (•) in the graph and the other points lie on the circumference of the circle.

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Answer: The answer is -4

Step-by-step explanation: The answer is -4 because you when you substitute x for -5(2) and y for -2(3). Which then equal -10 and the -6 turns into a positive 6 which then leads to -10+6 and equals -4!

Hope this Helps :D

Answer:

d) \(8.97*10^{-3}\)

Step-by-step explanation:

Move the decimal 3 spaces to the right so that way the decimal can be between the first two numbers. When you move the decimal to the right, it makes the exponent negative, when it moves to the left, it makes it positive

The rule for a 270 degree rotation is the original Y value becomes the new X value and the original X value becomes the new Y value but sign becomes the opposite.

(-2,3) after a 270 degree rotation becomes (3,2)

(a). The graph of y = -f(x) is shown in the image below.

(b). The graph of y = g(-x) is shown in the image below.

By reflecting the parent absolute value function g(x) = |x + 2| - 4 over the x-axis, the transformed absolute value function can be written as follows;

y = -f(x)

y = -|x + 2| - 4

Part b.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = rise/run

Slope (m) = -2/4

Slope (m) = -1/2

At data point (0, 5) and a slope of -1/2, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = -1/2(x - 0)

g(x) = -x/2 + 5, -4 ≤ x ≤ 4.

y = g(-x)

y = x/2 + 5, -4 ≤ x ≤ 4.

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Answer:

42

Step-by-step explanation:

Rectangle: A = 6 x 5 = 30

Triangle: A = 1/2(6 x 4) = 12

Area of figure: 30 + 12 = 42

Answer:

  3x +y -18 = 0

Step-by-step explanation:

The equation of the perpendicular line can be formed from the given equation by swapping the x- and y-coefficients, and negating one of them. The constant in the new equation will be the constant necessary to make the line pass through the given point.

__

  3x +y +c = 0 . . . . . now both coefficients are positive

We want c such that the equation is satisfied at the point (x, y) = (9, -9):

  3(9) +(-9) +c = 0

  27 -9 +c = 0

  c = -18

The equation of the desired line is ...

  3x +y -18 = 0

The minimum side length of the triangle needed to complete the triangle is 5 feet.

A polygon that has three sides and three vertices is called a triangle.

The sum of all the angles of the triangle is 180°.

Given:

The two sides of the triangle are 7 feet and 3 feet.

Let a = 7 and b = 3.

The minimum possible value,

= Max(a, b) - Min(a, b) + 1

= 7 - 3 + 1

= 5 feet.

Therefore, the minimum length is 5 feet.

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Answer:

2 1/2 cups = 1.25 or 1 and 1 quarter liquid pint (U.S)

Step-by-step explanation:

Some quadratics are fairly simple to solve because they are of the form "something-with-x squared equals some number", and then you take the square root of both sides.

An example would be:

(x - 4) ² = 5

x - 4 = ±√5

x = 4 ± √5

x = 4 - √5, 4 + √5

Unfortunately, most quadratics don't come neatly squared like this. For your average everyday quadratic, you first have to use the technique of "completing the square" to rearrange the quadratic into the neat "(squared part) equals (a number)" format demonstrated above.

Answer:

$150

Step-by-step explanation:

Answer:

The answer is $150

Step-by-step explanation:

My friend had this question and told me the answer