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A spinner can land on either red or blue. You spin the spinner and then roll a six-sided number cube.

What is the sample space of outcomes?


{(R, 1), (R, 2), (R, 3), (R, 4), (R, 5), (R, 6), (B, 1), (B, 2), (B, 3), (B, 4), (B, 5), (B, 6)}

{(R, B), (B, R), (R, 1), (B, 2), (R, 3), (B, 4), (R, 5), (B, 6)}

{BR, 123456}

{1, 2, 3, 4, 5, 6, B, R}

The reasonable solutions for this situation is (1, 3.5) and (2, 2)

A graph is a visual representation of data or information, typically used to display the relationship between two or more variables. Graphs are used to make it easier to understand and analyze data, and can be used to convey information in a clear and concise manner.

Audrey has x pounds of red grapes and y pounds of green grapes.

She has less than 5 pounds of grapes in all, hence:

x + y < 5

Also, x ≥ 0, y ≥ 0

a) The option (–1, 2) is wrong because x = -1 < 0

b) The option (1, 3.5) is correct because 1 + 3.5 = 4.5 < 5

c) The option (2, 2) is correct because 2 + 2 = 4 < 5

d) The option (4.5, 0.5) is wrong because 4.5 + 0.5 = 5 which is not less than 6.

e) The option (5, 0) is wrong because 5 + 0 is not less than 5

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The total number of fossils at the museum are, 25

Answer:

20.

Step-by-step explanation:

We need to setup a proportion. We want the result to be 40% out of 50, meaning that we are solving for x:

4/10=x/50.

Cross-multiplying, we have 200 = 10x, and x = 20.

Answer:

we need a table to solve this

Step-by-step explanation:

The probability that the result of rolling a fair six-sided die is a 3 is 0.167 to three decimal places.

A six-sided die has six outcomes, i.e. the numbers 1 to 6

These outcomes are equally likely since the die is fair. That means each outcome has a probability of 1/6.

Since we want to determine the probability of rolling a 3, which is one of the outcomes of the die, we need to determine the probability of rolling a 3.

This probability can be obtained using the following formula:

P(rolling a 3) = number of ways to roll a 3 / total number of possible outcomes

Since there is only one way to roll a 3 on a six-sided die, the numerator is 1.

The denominator is the total number of possible outcomes, which is 6.

Therefore, the probability of rolling a 3 is:

P(rolling a 3) = 1/6 = 0.167 (rounded to three decimal places)

Thus, the probability that the result of rolling the die is a 3 is 0.167.

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The correct way to measure the zone of inhibition is to place a known amount of an antimicrobial agent on a solid medium.

Area is a quantity that measures the size of a two-dimensional surface or shape. It is expressed in square units such as square centimetres (cm2), square metres (m2) or square kilometres (km2). Area is used to describe the size of a garden, a house, a room, a city and much more. It can also be used to calculate the amount of material required for a project, such as paint, carpet or tiles. Knowing the area of a shape can help to calculate costs, and to make sure that enough materials are ordered.

The zone of inhibition is then measured as the area surrounding the antimicrobial agent where microbial growth has been inhibited. This area is typically measured in millimeters. To accurately measure the zone of inhibition, it is important to ensure that the size of the inoculum and the amount of antimicrobial agent used remain constant. Additionally, it is important to consider the type of organism being studied, as different organisms can have different levels of susceptibility to the antimicrobial agent. Finally, the medium used should be appropriate for the organism being studied, as different media can produce different results.

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Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (16, 17) and (x₂, y₂ ) = (15, 16)

m = \(\frac{16-17}{15-16}\) = \(\frac{-1}{-1}\) = 1

Explanation

From the graph, we will have the table of values below.

We can then have the explicit formula as;

By observation, the explicit formula becomes

Answer:

If the cost for 10 ounce of organic blueberry is $2. 70, the cost of 30 ounce of organic blueberry is represented by the equation x = 20y + 2.70 where y is the cost in dollars for one ounce of organic blueberry.

As x is the cost in dollar for 30 ounce of organic blueberry. For y is the cost in dollars for one ounce of organic blueberry, then

x = 30y + c

where c is the fixed cost

We know for 10 ounce of organic blueberry it costs $2.70. That is

2.70 = 10y + c

c = 2.70 - 10y

So x = 30y + 2.70 - 10y

x = 20y + 2.70

-- The question is incomplete, the complete question is as follows--

"The cost for 10 ounce of organic blueberry is $2. 70 which equation can be used to determine x the cost in dollars, for 30 ounces of organic blueberries.?"

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The probability of selecting a six-person committee as per given condition is equal to 0.1623 or 16.23%.

To calculate the probability of selecting four Democrats

And two Republicans in a six-person committee from a city council consisting of five Democrats and six Republicans,

Use the concept of combinations.

The total number of ways to form a committee of six people from a council of eleven five Democrats and six Republicans is

Using combination formula,

C(n, k) = n! / (k! × (n - k)!)

where n is the total number of items and k is the number of items chosen.

Here, select four Democrats and two Republicans,

Number of ways to choose four Democrats from five

C(5, 4)

= 5! / (4! × (5 - 4)!)

= 5

Number of ways to choose two Republicans from six,

C(6, 2)

= 6! / (2! × (6 - 2)!)

= 15

To find the total number of ways to form the committee with four Democrats and two Republicans, multiply the two results,

Total number of ways

= C(5, 4) × C(6, 2)

= 5× 15

= 75

The total number of ways to form a committee of six people from the city council is,

Total number of ways

= C(11, 6)

= 11! / (6! × (11 - 6)!)

= 462

Finally, calculate the probability by dividing the favorable outcomes (75) by the total number of outcomes (462),

Probability

= 75 / 462

≈ 0.1623

Therefore, the probability of selecting a six-person committee with four Democrats and two Republicans is approximately 0.1623 or 16.23%.

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Answer:

280 degrees.

Step-by-step explanation:

The way you work this out is by:

1) Work out 240-360

2) Subtract the answer from 360

3) Divide the answer of step 2 into however many angles you have (in this instance 4).

4) Then use one of these angles and subtract it from 360. This will give you a reflex angle.

5) That's it.

Answer:

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

We know that the sum of interior angles of a quadrilateral is 360°.

Show this as a sum using angle measures in the diagram:

Answer:

Each shirt cost $1

Step-by-step explanation:

Please let me know if this is wrong.

First, we see that 6 represents tenths. If it represents 1/10 it must be 6 divided by 10. Doing so, 6 must represent now the hundredths of the three last numbers. The answers must be C,D and E.

Yes. The warehouse drivers deliver enough packages.

An expression is used to illustrate the information that's given.

In this case, the warehouse has 128 trucks. Each truck has 350 packages. The number of packages that van be delivered will be:

= Number of trucks × Amount in each package

= 128 × 350

= 44800

Since the drivers at a warehouse need to deliver 40,000 packages each day. this means they denied enough packages because 44800 is more than 40000.

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The fifth term of the arithmetic sequence is -1190.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. To find the fifth term, we can use the formula for the nth term of an arithmetic sequence:

aₙ = a₁ + (n - 1) * d

where aₙ represents the nth term, a₁ is the first term, n is the position of the term, and d is the common difference.

Given that the 100th term is -1240 and the common difference is -25, we can substitute these values into the formula.

Since the fifth term corresponds to n = 5, we can calculate:

a₅ = -1240 + (5 - 1) * (-25)

= -1240 + 4 * (-25)

= -1240 - 100

= -1340

Therefore, the fifth term of the arithmetic sequence is -1190.

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There are 90 ways to choose the students who compete first and second in the spelling bee.

Since the order of choosing students matters in this question, we need to calculate the number of permutations. 10 students are participating in the spelling bee, and we need to choose 2 of them for the first and second place. The first student can be chosen in 10 ways, and the second student can be chosen in 9 ways (since we cannot choose the same student twice). Therefore, the number of ways to choose first and second place in the spelling bee is:

Number of ways = 10 x 9 = 90

Therefore, there are 90 ways to choose the students who compete first and second in the spelling bee.

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The given two-way Frequency table, there are 33 left-handed students who are not in the music program.

The number of left-handed students who are not in the music program, we need to examine the data presented in the two-way frequency table.

From the table, we can see that the number of left-handed students in the music program is 15, and the total number of left-handed students is 48.

the number of left-handed students not in the music program, we subtract the number of left-handed students in the music program from the total number of left-handed students.

Number of left-handed students not in the music program = Total number of left-handed students - Number of left-handed students in the music program

Number of left-handed students not in the music program = 48 - 15

Calculating this, we find that the number of left-handed students not in the music program is 33.

Therefore, there are 33 left-handed students who are not in the music program, based on the data provided in the two-way frequency table.

In conclusion, based on the given two-way frequency table, there are 33 left-handed students who are not in the music program.

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The correct answer is B. The passage states that "The United States forced Japan to strip its emperors of significant power after World War II." This is a clear example of a change in the role of the Japanese emperors.

The net income for the firm is $160,150 which has been calculated by using the arithmetic operations.

To calculate the net income, we start with the total sales of $734,000 and subtract the total expenses. The total expenses is sum of costs of $315,000, depreciation expense of $48,000, and interest expense of $35,000, resulting in a total expense of $398,000.

After subtracting the total expenses from the total sales, we have:

Net income = $734,000 - $398,000

Net income = $336,000

However, we need to consider the tax expense. The tax rate is given as 35%, which means the firm is required to pay 35% of its taxable income as taxes. To calculate the tax expense, we multiply the net income by the tax rate:

Tax expense = $336,000 * 0.35

Tax expense = $117,600

Finally, we can calculate the net income by subtracting the tax expense from the calculated net income before taxes:

Net income = $336,000 - $117,600

Net income = $218,400

Therefore, the net income for Burlington Exterminators Inc. is $218,400.

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Answer:

Taylor can buy 7 journals without going over the cards limit.

Step-by-step explanation:

The first step is to subtract what she has already spent from the gift card:

30 - 9 = 21

So now that we have the amount of money that Taylor has available to spend,  we need to divide by the cost of a journal to see how many she can buy:

21 / 3 = 7

Our final answer would be 7 journals.

Answer:

X _< 7

(This _ is suppose to be under the < ) ^^

Answer:

1/2

Step-by-step explanation:

If you do this:

20:2=10

14:2=7

12:2=6

You get dimensions of smaller triangle which is a half from bigger one.

Answer:

scale factor is 1/2

Step-by-step explanation:

notice that the sides of ΔABC are one-half of the length of the sides 0f ΔDEF

A, C, and D are are all equal to a = 180n − 360, while answer B is equal to a = 180n − 180. Therefore, A, C, and D are all equivalent to each other.

The correct answer is b) unchanged. Cutting a chocolate bar in half does not affect its density.

When a chocolate bar is cut in half, its density remains unchanged. Density is a physical property of a substance that is determined by its mass per unit volume. When the chocolate bar is cut in half, the mass is also divided into two equal parts, resulting in a reduction of the volume by half as well. Since both the numerator and denominator in the density formula change proportionally, the density remains the same.

For example, if the density of a chocolate bar is 1 gram per cubic centimeter, cutting it in half would result in two smaller bars, each with half the volume and half the mass. The density of each of the new bars would still be 1 gram per cubic centimeter, even though they are smaller in size.

Therefore, the correct answer is b) unchanged. Cutting a chocolate bar in half does not affect its density.

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Answer:

perpendicular gradient = - \(\frac{1}{4}\)

Step-by-step explanation:

given a line with gradient m then the gradient of a line perpendicular to it is

\(m_{perpendicula}\) = - \(\frac{1}{m}\) = - \(\frac{1}{4}\)

Answer:Fruit punch conertrat is 8

Step-by-step explanation: I did it and got 8 for fruit punch c

Answer:

13r + 2t

Step-by-step explanation:

Step 1: Write out expression

3r + 2(t + 5r)

Step 2: Distribute

3r + 2t + 10r

Step 3: Combine like terms (r)

13r + 2t

Answer:

y = -3/4x + 7

Step-by-step explanation:

Given: m = -3/4

y = mx + b

(1) = -3/4(8) + b

1 = -6 + b

b = 7

Use m and b to form equation of line:

y = mx + b

y = -3/4x + 7

Answer: y = 7 over 10 x -8

Step-by-step explanation:The point we are given  (0,−8) is the y-intercept (c). The clue for this is that the x-value is 0, which means the point lies on the y-axis.

Using the diagram of a regular hexagon, we get answers 6, 60, 30-60-90, equilateral triangle, 6 cm, 12 cm, 6 √3 and so  on.

1) There are 6 equilateral triangles in a regular hexagon.
2) Each angle in an equilateral triangle is 60 degrees.
3) Cutting an equilateral triangle down the middle creates a 30-60-90 right triangle.
4) Segment a is called the altitude or height of the equilateral triangle.
5) The short side of a 30-60-90 triangle is half the length of the hypotenuse, so it is 6 cm.
6) The hypotenuse of a 30-60-90 triangle is twice the length of the short side, so it is 12 cm.
7) Using the properties of a 30-60-90 triangle, the long leg is sqrt(3) times the length of the short side, so it is 6sqrt(3) cm.
8) The height of one of the equilateral triangles is the same as the long leg of the 30-60-90 triangle, so it is 6sqrt(3) cm.
9) The formula for the area of a triangle is (base x height)/2. Since the base and height of an equilateral triangle are the same, we can use the formula (side x height)/2. The side length is 12 cm and the height is 6sqrt(3) cm, so the area of one equilateral triangle is (12 x 6sqrt(3))/2 = 36sqrt(3) cm^2.
10) To find the area of the complete hexagon, we multiply the area of one equilateral triangle by the number of triangles, so the area of the hexagon is 6 x 36sqrt(3) = 216sqrt(3) cm^2.

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There are 144 ways to form a five-digit number that is divisible by 5 using the numerals 0, 1, 2, 3, 4, and 5 without repetition.

For the number to be divisible by 5, its units digit must be either 0 or 5. Since we cannot repeat digits, we have two cases to consider:

Case 1: The units digit is 0.

In this case, we have 5 choices for the units digit (0, 1, 2, 3, or 4). For the remaining four digits, we can choose them in 4! ways (i.e., 4 choices for the first digit, 3 choices for the second digit, 2 choices for the third digit, and 1 choice for the fourth digit).

Therefore, the total number of five-digit numbers that are divisible by 5 and have a units digit of 0 is:

5 × 4! = 120

Case 2: The units digit is 5.

In this case, we have only one choice for the units digit, which is 5. For the remaining four digits, we can choose them in 4! ways as before.

Therefore, the total number of five-digit numbers that are divisible by 5 and have a units digit of 5 is:

1 × 4! = 24

The total number of ways to form a five-digit number that is divisible by 5 without repeating digits is the sum of the numbers from both cases:

120 + 24 = 144

Therefore, there are 144 ways to form a five-digit number that is divisible by 5 using the numerals 0, 1, 2, 3, 4, and 5 without repetition.

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the function should be represented as f(t) = 24,500( 0.88\()^{t}\)

What is an Equations?

Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

Given,  f(t) = 24,500 x (0.88)t

Assuming that the value of the car only increases by 88% per year compared to the previous year, the function rule needs to have "t" as the exponent, thus it should be f(t) = 24,500( 0.88\()^{t}\)

Hence, the function should be represented as f(t) = 24,500( 0.88\()^{t}\)

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