Which of the following properties is always true for a parallelogram?
A. Diagonals bisect each other
B. Diagonals are perpendicular
C. Diagonals are congruent
D. Diagonals bisect opposite angles

The outlier of the graph is

An outlier is an isolated data point that significantly differs from the entirety of the points within a dataset. It is an observation that resides an exceptional distance away compared to other values in a random sample from a population.

Outliers can be identified employing various statistical techniques, like graphical methods (for instance, box plots, scatterplots) and numerical procedures (e.g., Z-score, IQR method).

The problem used a scatter plot plot to show that the outlier is (5, 1)

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Answer:

y-intercept: (0, -5)

x-intercepts: (-5, 0) , (1, 0)

Probability = # of desired options / # of total options

Our desired option is blue and there are 9 blue marbles in the bag.

There are 32 total marbles (options) in the bag.

P(blue) = 9 / 32 = 0.28125 = 28.125%

Hope this helps!

A)
i) the inequality to show the number of ballons that the dance committee can buy is: 0.80b + 65 ≤ 125

ii)  solving the inequality above, we arrive at b ≤ 75
B) The graph is attached accordingly.

C) See the description of the solution below.

Let's start by defining our variables. Let b be the number of balloons that the dance committee could buy.

The cost of b balloons is $0.80b. We want to make sure that the cost of the balloons plus the amount already spent on decorations ($65) is less than or equal to the budget of $125. So we can write the following inequality:

0.80b + 65 ≤ 125

Now we can solve for b:

0.80b + 65 ≤ 125

0.80b ≤ 125 - 65

0.80b ≤ 60

b ≤ 75

Therefore, the dance committee can buy up to 75 balloons to stay within their budget.

To graph the solution set, we can plot b on the horizontal axis and shade the region to the left of b = 75, since b must be less than or equal to 75.

The solution set represents all possible values of b that satisfy the inequality. In this case, the solution set is b ≤ 75, which means that the dance committee can buy up to 75 balloons and still stay within their budget.

As the number of balloons increases, the cost of the balloons also increases, and the amount of money left in the budget decreases.

Therefore, the more balloons the dance committee buys, the less money they will have left for other decorations or expenses.

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Full Question:


Since the above question is incomplete, it appears you are referring to the question below.


The dance committee has a budget of $125 to decorate the gym for a spring dance. They already spent $65. Some members want to buy helium balloons that cost $0.80 each.

A) Write and solve an inequality to show the number of balloons that the dance committee could buy.

B) Graph the solution set for the inequality.
C) Describe what the solution means and how the number of balloons affects the amount in the budget.

Answer:

173

Step-by-step explanation:

Assume the natural number is x.

x/12 = ... R 5

x/15 = ... R 8

x/18 = ... R 11

Thus, x+7 is divisible by 12, 15 and 18 all together.

The smallest possible number of x+7 can be calculated with prime factorization.

12=2^2 * 3

15=3 * 5

18=2 * 3^2

The smallest possible number for x+7 is 2^2 * 3^2 * 5 = 4 * 9 * 5 = 180.

Therefore, the smallest possible solution for x is 180 - 7 = 173.

Answer:

Step-by-step explanation:

3 more then then two times the number ---    2(x+3)

the difference 3 and the product of 2 and x --     x/2-x

the rest are right

The correct statements regarding the dilation to the triangle are given as follows:

A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.

The resulting image is a larger or smaller version of the original object, depending on whether the scale factor is greater than or less than 1, respectively.

The ratio of the perimeter is equals to the scale factor, while the ratio of the areas is equals to the square of the scale factor.

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If  your original purchase price was $825.00 plus 7% sales tax and  the interest is accrued from the date of purchase. The interest is $9.20.

First step is to find the monthly interest rate

Monthly interest rate =12.5% / 12

Monthly interest rate = 1.0417%

Second step is to find the total amount applied for credit

Total amount applied for credit=  $825+ ($825 × 7%)

Total amount applied for credit =$882.75

Now let find the interest

Interest = $882.75 x 1.0417%

Interest =$9.19

Interest = $9.20 (Approximately)

Therefore the interest is $9.20.

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Answer:

1. a late payment/missed fee

2. accrued interest

3. $9.20

4. $9.66

Hope This Helps!

Answer:

42 ratones

Step-by-step explanation:

Los gatos comen 6 ratones cada 5 minutos. Aplicar esto a 7 y 7x6 = 42. Perdón por el mal español

Answer:

a+(-c); b; c-(-b)

Step-by-step explanation:

a = -1

b = 2

c = 3

Now we'll solve for each equation

b = 2

a + (-c) = -1 + (-3) = -4

c - (-b) = 3 - (-2) = 5

The cost of the 20-year term insurance will be based on age, health, smoking, and other factors to determine the premium.

The cost of a special fully discrete 20-year term insurance on a 30-year-old would depend on a range of factors, including the insured's age, health, smoking status, and lifestyle. These factors would be used to calculate the risk of death during the 20-year term. The death benefit of 1,000 during the first ten years and 2,000 during the next ten years would also be taken into account when calculating the cost of the policy. Depending on the risk of death and the death benefits, the premium could vary significantly. For example, a 30-year-old in good health with no smoking history could pay less for the policy than a 30-year-old with a pre-existing condition and a smoking history. The premium could also be higher for individuals with riskier lifestyles. Ultimately, the cost of the 20-year term insurance will depend on the risk of death and the death benefit offered by the policy.

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Answer:15

Step-by-step explanation:

First Multiply the 7 and the 8 resulting in 56

next subtract 41 from 56 resulting in 56-41

this equals 15

Answer: 15 slices of pizza are left

Step-by-step explanation: First, you do 7 x 8= 56, then you do 56-41=15

And then you have your answer! have a very nice day <3

Answer:

1. true

2. false

3. supplementary

4. vertical

5. it would be 5

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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Answer:

(2,1)

Step-by-step explanation:

The line 4y - 2x = 0 can be written in slope-intercept form as y = 1/2x.

So any point that satisfies this equation will lie on the line. For example, the point (2,1) satisfies the equation:

4(1) - 2(2) = 0

So the point (2,1) is on the line.

Answer: 101

Step-by-step explanation: 1+5x20 then 100+1= 101

Answer:

I would say the best answer choice is B.

The solution to the equation is x = 2 7/18

From the question, we have the following parameters that can be used in our computation:

3x + 2/3 =7 5/6

Solve the equation by first subtracting 2/3 from each side

So, we have

3x = 7 1/6

Divide both sides of the equation by 3

This gives

x = 2 7/18

Hence, the solution is 2 7/18

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Here's the graphing if you need it for proof or etc. & a lil correction!

Answer:

m(n) = 60000

Amount = 60000/n

Step-by-step explanation:

Given

Budget = 60000

Solving (a) Represent as a function mn

To do this simple substitute m(n) for Budget.

This gives;

m(n) = 60000

Solving (b) Amount each committee will receive.

Since the amount will be shared evenly.

Amount = m(n)/n

Substitute 60000 for m(n)

Amount = 60000/n

Answer:

48:16 ---> 3:1

Step-by-step explanation:

48 and 16 can both be divided by 4 which makes it 12:4 but that can still be reduced which would make it 3:1

Answer:

m = 2, c = 1

Explanation: In the y = mx + b (or y = mx + c) format, the m is the slope of the line and the c/b is the y-intercept, or where the line crosses the y-axis. If we substitute the information from the given equation, y = 2x + 1, into the general formula, we know that the m is 2 and c is 1.

Answer:

15

Problem:

Given that a*b = 2ab - 3b. Determine 2*(3*5)​

Step-by-step explanation:

First we find 3*5 using rule a*b = 2ab - 3b.

3*5=2(3)(5)-3(5)

3*5=30-15

3*5=15

Now we are left with 2*15 in which we will still use the rule a*b=2ab-3b.

2*15=2(2)(15)-3(15)

2*15=60-45

2*15=15

Therefore, 2*(3*5)=15.

Answer:

The answer is C or 44/12

Step-by-step explanation:

1/2 is equivalent to 3/6

1 4/6 is equivalent to 1 4/6 or 10/6

1 2/4 is equivalent to 1 3/6 or 9/6

When you add all of these together you get 22/6

Then you multiply 22/6 by 2 to get 44/12

There are 50 employees in total

The given parameter is:

Part-time = 8% of total employee

Rewrite as:

Part-time = 8% * total employee

There are 4 part-time employees.

So, we have:

8% * total employee = 4

Divide both sides by 8%

total employee = 50

Hence, there are 50 employees in total

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Answer:

Step-by-step explanation:

Let's get the equation first and then look at the circle when it has been graphed.

(x - 2)^2 + (y - 4)^2 = 7^2

(x - 2)^2 + (y - 4)^2 = 49