A two-variable inequality is shown in the graph.



Which point is not included in the solution set for the inequality?

(–1, 3)
(0, 4)
(1, 5)
(2, 4)

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:

The number is 0

Step-by-step explanation:

Let x be the number

Add 16

x+16

Divide the sum by 2

(x+16)/2

The answer is 8

(x+16)/2=8

Multiply each side by 2

(x+16)/2*2=8*2

x+16 = 16

Subtract 16

x+16-16 =16-16

x=0

Answer:

15 8 ounce containers and 52 6 ounce containers

Step-by-step explanation:

First figure out how much soup must be in the 50 small containers

50 * 6 = 300

Subtract that from the total amount of soup

432 - 300 = 132

We have to put 132 ounces of soup into 6 ounce and 8 ounce containers

Let x be the number of 6 ounce and y be the number of 8 ounce containers

6x+8y = 132

x+y = minimum

We want to use as many 8 ounce containers as possible

132/8 = 16.5

16*8 = 128 r4  we cannot use 16 because we do not have a 4ounce container

15*8 = 120  r12  12/6 =2  we can do this because we can use 2 6 ounce containers

We need 15 8 ounce containers and 2 6 ounce for the 132 ounces left

We have 50 for the 300 ounces

For a total of

15 8 ounce containers and 52 6 ounce containers

Answer:

0.62

Step-by-step explanation:

0.1d+0.01p=1

0.1(6)+0.01(2)=1

0.6+0.02=1

0.62=1

Answer:

7,982 ft

Step-by-step explanation:

c = πd

25077 = πd

Divide both sides by π

25077/π = d

d = 7,982 ft

----------------------

I think the 25077 number in the question might be a typo

Just divide the correct number by 3.14 to get the diameter.

Answer:

250

Step-by-step explanation:

14 x 4 = 56

56 divided by 2 = 28

Step-by-step explanation:

here is the ans

the perimeter= 130m

hope so this might help you

We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.

a) The problem asks for the volume of ice cream in one scoop.

b) The given fact is that the radius of the scoop is 2 inches.

c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.

d) Number Sentence:

  - Given: Radius (r) = 2 inches

  - Formula: V = (4/3)πr³

  - Substituting the value: V = (4/3)π(2)³

  - Simplifying: V = (4/3)π(8)

  - Evaluating: V = (4/3)(3.14)(8)

  - Multiplying: V = 33.49333333 (approx.)

e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.

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The transformation function can be represented as vwxyz \($\rightarrow$\)qrstu = (v,w,x,y,z) \($\rightarrow$\) (q,r,s,t,u).

This algebraic representation of the transformation of pentagon vwxyz into pentagon qrstu is using the notation of a function. A function takes an input (in this case, the coordinates of pentagon vwxyz) and produces an output (in this case, the coordinates of pentagon qrstu). This transformation can be represented by the notation (v,w,x,y,z) \($\rightarrow$\) (q,r,s,t,u). This notation means that the coordinates (v,w,x,y,z) are being transformed into the coordinates (q,r,s,t,u). This notation is a concise way of expressing the transformation of pentagon vwxyz into pentagon qrstu. It is important to note that the transformation itself is not specified; the notation is simply used as a way of representing the transformation.

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The simplification of the expression ab³/a⁴b  +  (c²)³ is determined as b²/a³  +  c⁶.

The given expression is simplified as follows;

The given expression is written as;

ab³/a⁴b  +  (c²)³

To simplify the expression given above, we will divide the fraction with the common factor as follows;

From the numerator; ab³, we will factor out "ab"

From denominator; a⁴b, we will factor out "ab"

The resulting expression becomes;

ab³/a⁴b  +  (c²)³

= b²/a³  +  c⁶

Note: for the power of c, we simplify by multiplying 2 and 3 = 6

Thus, the simplification of the expression ab³/a⁴b  +  (c²)³ is determined as b²/a³  +  c⁶.

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\(\huge\textsf{Hey there!}\)

\(\large\textsf{Guide}\downarrow\)

\(\large\textsf{Penny: 1 cent} \\\large\textsf{Nickel: 5 cents}\\\large\textsf{Dime: 10 cents}\\\large\textsf{Quarter: 25 cents}\\\large\textsf{Half dollar: 50 cents}\\\large\textsf{1 bill = 1 dollar}\)

\(\large\textsf{6 dimes:}\downarrow\)

\(\large\textsf{= 10 + 10 + 10 + 10 + 10 + 10}\)

\(\large\textsf{= 20 + 20 + 20}\)

\(\large\textsf{= 40 + 20}\)

\(\large\textsf{= \bf 60}\)

\(\large\textsf{6 dimes = \bf 60 cents}\)

\(\large\textsf{8 nickels}\)

\(\large\textsf{= 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5}\)

\(\large\textsf{= 10 + 10 + 10 + 10}\)

\(\mathsf{= 20 + 20}\)

\(\large\textsf{= \bf 40}\)

\(\large\textsf{8 nickels = \bf 40 cents}\)

\(\large\textsf{3 one dollar bills}\)

\(\large\textsf{= 1 + 1 + 1}\)

\(\large\textsf{= 2 + 1 }\)

\(\large\textsf{= \bf 3}\)

\(\large\textsf{3 one dollar bills = \bf 3 dollars}\)

\(\large\textsf{NOW LETS SOLVE FOR YOUR EQUATION}\)

\(\large\textsf{3.00 + 0.60 + 0.40}\)

\(\large\textsf{= 3.60 + 0.40 }\)

\(\large\textsf{= \bf \$4}\)

\(\boxed{\boxed{\large\textsf{Therefore, your answer is: \huge \bf \$4}}}\huge\checkmark\)

\(\large\textsf{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

\(60+27t+3t^2\)

Step-by-step explanation:

Let's put 5+t wherever we have x in the original: rest is simple algebra.

\(w(5+t) = 3(5+t)^2 -3(5+t) = 3(25+10t+t^2)-15-3t =75+30t+3t^2-15-3t =60+27t+3t^2\)

Answer:

3.4 and 3.40

Step-by-step explanation:

The numbers mean the same thing

The side x of the triangular base prism is 0.4 centimetres.

The diagram above is a triangular prism. The triangular base of the prism is a right triangle. Therefore, the unknown side x can be found using Pythagoras's theorem,

c²= a² + b²

where

Therefore,

x² = 0.5² - 0.3²

x² = 0.25 - 0.09

x = √0.16

x = 0.4 cm

Therefore,

x = 0.4 centimetres.

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Answer:

The oldest person is 25 years old

Step-by-step explanation:

Represent David's age by d.

Then Dan's age is d + 5, and Bridget's is d - 8.

The sum of these three ages is 57:

d + (d + 5) + (d - 8) = 57

This simplifies to

3d - 3 = 57, or 3d = 60.  Then d must be 20.

David is 20, Dan is 25 (5 years older than David), and Bridget is 12 (8 years younger than David).

Check:  Do these three ages add up to 57?

20 + 25 + 12 = 57   YES\

The oldest person is 25 years old.  That's Dan's age.

Answer:

b. At least 2 abandoned cars in the next week.

7x²+5x​

(9x²+8x)-(2x²+3x)

We will subtract the like terms. That means that we will subtract \(2x^{2}\) from \(9x^{2}\) and 3x from 8x.

Answer:

All positive real numbers i think

Answer:

B

Step-by-step explanation:

4^x can never be 0 or negative, the graph has a horizontal asymptote at y = 0

So the range only includes positive values

The amount of water the farmer can put in the tank increase when the larger tank is built is 106.33%.It takes 4days for the horses to drink all the water in the larger tank.

Percentage is a way of expressing a proportion or a fraction out of 100. It represents the number of parts per hundred of a quantity.

Dimension refers to a measurable aspect of an object or a system, such as length, width, height, depth, volume, area, or mass. In mathematics, dimension also refers to the number of coordinates required to specify a point in a space. For example, a two-dimensional shape like a square has two dimensions, length and width, while a three-dimensional object like a cube has three dimensions, length, width, and height.

To find the percentage increase in the amount of water the farmer can put in the larger tank, we need to calculate the volume of the original tank and the volume of the larger tank, and then compare the two.

The original tank has dimensions of 2 4/5 ft, 2 2/5 ft, and 2 1/2 ft. We can convert these mixed numbers to improper fractions for easier calculations:

2 4/5 ft = (2 x 5 + 4)/5 ft = 14/5 ft

2 2/5 ft = (2 x 5 + 2)/5 ft = 12/5 ft

2 1/2 ft = (2 x 2 + 1)/2 ft = 5/2 ft

The volume of the original tank is then:

Volume = Length x Width x Height = 14/5 ft x 12/5 ft x 5/2 ft

Now, the farmer plans to increase measurement  by 25%. To do this, we multiply each measurement by 1.25.

The dimensions of the larger tank would be:

Length = 14/5 ft x 1.25 = 3.5 ft

Width = 12/5 ft x 1.25 = 3 ft

Height = 5/2 ft x 1.25 = 3.125 ft

The volume of the larger tank is then:

Volume = Length x Width x Height = 3.5 ft x 3 ft x 3.125 ft

To find the percentage increase, we can compare the two volumes:

Percentage increase = ((Volume of larger tank - Volume of original tank) / Volume of original tank) x 100

Plugging in the values we found:

Percentage increase = ((3.5 ft x 3 ft x 3.125 ft - 14/5 ft x 12/5 ft x 5/2 ft) / (14/5 ft x 12/5 ft x 5/2 ft)) x 100

After calculating the above expression, we find that the percentage increase is approximately 106.33%. So, the amount of water the farmer can put in the larger tank will increase by approximately 106.33% when the larger tank is built.

Now, to find how many days it will take the horses to drink all the water in the larger tank, we can assume that the rate at which the horses drink water remains constant. Since the volume of the larger tank is approximately 106.33% more than the original tank, it will take the horses approximately the same amount of time to drink all the water in the larger tank, which is 4 days.

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Using the concept of ratio, the rate at which questions were answered correctly is 0.867 which is option B

Rate can be defined as comparing two or more ratio with a standard value.

The rate of correct answer can be calculated using the ratio between the number of correct answers to numbers of questions answered.

The rate is given as;

rate = 65 / 75

rate = 0.867

The rate of correct answers is 0.867

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Answer:

a = 2, b = 3, c = 8

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Hardware store:

4 bulbs = $20

1 bulb = $20 / 4 = $5

Grocery store:

6 bulbs = $24

1 bulb = $24 / 6 = $4

The difference in price = $5 - $4 = $1

The grocery store sells at the lesser price.

So, the grocery store charges $1 less per light bulb than the hardware store.

On solving the inequalities a ≥ 10, y ≥ 55, 7a + 10y ≥ 690, the solution is obtained as (20,55).

What is an inequality?

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.

Use the variables a and y to represent the number of student and adult tickets sold, respectively.

Then write the following system of inequalities -

a ≥ 10 (they must sell a minimum of 10 student tickets)

y ≥ 55 (they must sell at least 55 adult tickets)

7a + 10y ≥ 690 (they must make no less than $690 from ticket sales)

The first two inequalities are constraints on the number of tickets sold, and the third inequality represents the revenue constraint.

To find a possible solution, graph these inequalities on a coordinate plane and look for the feasible region that satisfies all three inequalities.

Alternatively, solve the system of inequalities using algebra.

First, simplify the third inequality by subtracting 7a from both sides -

10y ≥ 690 - 7a

Then, divide both sides by 10 -

y ≥ (690 - 7a)/10

This inequality represents the revenue constraint in terms of the number of student tickets sold.

Now combine the revenue constraint with the other two constraints -

a ≥ 10

y ≥ 55

y ≥ (690 - 7a)/10

Use substitution to solve for a in terms of y -

y ≥ (690 - 7a)/10

10y ≥ 690 - 7a

7a ≥ 690 - 10y

a ≥ (690 - 10y)/7

To find a possible solution, substitute a = (690 - 10y)/7 into the other two constraints -

(690 - 10y)/7 ≥ 10

y ≥ 55

These inequalities can be simplified -

690 - 10y ≥ 70

y ≥ 55

The first inequality can be solved for y -

-10y ≥ -620

y ≤ 62

Since it is known y ≥ 55, the feasible values for y are between 55 and 62, inclusive -

55 ≤ y ≤ 62

Now use the expression for a in terms of y to find the corresponding values of a -

a = (690 - 10y)/7

For each value of y between 55 and 62, inclusive, we can calculate a and check whether it satisfies the constraints -

a ≥ 10

y ≥ 55

7a + 10y ≥ 690

For example, when y = 55 -

a = (690 - 10(55))/7 = 20

7a + 10y = 7(20) + 10(55) = 690

Therefore, these values satisfy all three constraints, so one possible solution is a = 20 and y = 55.

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Answer:

x = 4√2

Step-by-step explanation:

Identifying the triangle in the diagram:

45-45-90 triangle rules:

Finding x:

Since the hypotenuse is 8 units long and, we can find x by setting 8 equal to x√2:

(8 =  x√2) / √2

8/√2 = x

Rationalize the denominator to simplify:

(8/√2) * (√2/√2)

8√2 / 2

4√2

Thus, x = 4√2

Answer:

47/68

Step-by-step explanation:

total candies=136

not red candies=94

94/136=47/68

Answer:    It's not entirely clear what is being asked for in the given question, as it is not clear what the numbers represent or what operation is being performed. If you could provide more information or context, I would be happy to try and help you.

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

To write 4/5 as a percent have to remember that 1 equal 100% and that what you need to do is just to multiply the number by 100 and add at the end symbol %. 4/5 * 100 = 0.8 * 100 = 80% And finally we have: 4/5 as a percent equals 80%

Answer:

0.80

Step-by-step explanation:

1/5=0.20

1/5×4=0.80