1. Determine whether each relation is a function.
((3, 2), (1,2), (4,3), (6, -2)}

Answer: 72

Correct answer to the question: what is the sum of the measures of the interior angles of a regular polygon if each exterior angle measures

'ω'

Calculate a confidence interval at the 99% confidence level for the proportion of all adult Americans who watched streamed programming, we can use the data provided by the Harris poll. 99% The confidence that the proportion of all adult Americans who watched streamed programming is between 50.5% and 55.5%.

The proportion of American adults who watched digitally streamed TV programming can be estimated as 53% from the survey data. To calculate the confidence interval, we need to determine the margin of error. The margin of error depends on the sample size and the desired level of confidence.

Using the formula for the margin of error, we can calculate it as:

Margin of Error = Z * sqrt((p * (1 - p)) / n)

Where Z is the critical value corresponding to the desired level of confidence (99% in this case), p is the estimated proportion (53%), and n is the sample size (2343).

By plugging in the values, we can calculate the margin of error. Once we have the margin of error, we can construct the confidence interval by subtracting and adding the margin of error to the estimated proportion.

The interpretation of the confidence interval is that we can be 99% confident that the true proportion of all adult Americans who watched streamed programming up to that point in time falls within the calculated interval. For example, if the confidence interval is [0.505, 0.555], it means that we estimate with 99% confidence that the proportion of all adult Americans who watched streamed programming is between 50.5% and 55.5%.

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Answer:

.

Step-by-step explanation:

2: 5, 10, 261.8, 785.4, 0.33

3: 7, 20, 1,026.3, 3,078.8, 0.33

4: 8, 6, 402.1, 1,206.4, 0.33

5: 12, 11, 1,658.8, 4,976.3, 0.33

Answer:

15 cents

Step-by-step explanation:

2.25 /15 = .15

Explanation:

From the properties of a parallelogramgiven in the image below, we will have that

From the parallelogram, we were given the opposite sides to be

Hence,

Since the property of a parallelogram states that opposite sides are equal, we will have that

Answer:

Im not too sure because I haven't done this in a while but, I think the answer is 60cm, don't come at me if its wrong plssss

Step-by-step explanation:

if u divide it along the far left, closer to 12cm, u would have 2 rectangles. they would Both be close and If u added up 12cm and 12cm that would give you 24cm, and if you go to the other rectangle it would be 18 cm plus 18cm that would be 36cm. u do not multiply since it is perimeter and not area. Hope it helped!

Answer:

60 cm

Step-by-step explanation:

18+18+12+12

30+30

60

the 4 unknown sides we know that the 2 lengths equal 18 cm because both of them together are the same length as the base and the 2 widths add up to be 12 cm since it is the same size as the 12 cm width when added together if that makes sense

Hopes this helps

Answer:

x ≥ 4

good luck on the test bro :)

Gerry's beginning basis in the S corporation is $20,545.

To calculate Gerry's beginning basis in the S corporation, we need to consider the cost of the assets transferred and the additional expenses incurred for the conversion.

The cost of the assets transferred is given as $19,570. This represents the original cost of the assets when Gerry acquired them.

The adjusted basis of the assets is stated as $9,600. The adjusted basis takes into account any adjustments made to the original cost, such as depreciation or other deductions.

To calculate the beginning basis in the S corporation, we add the cost of the assets transferred ($19,570) to the adjusted basis ($9,600). This gives us a total of $29,170.

In addition to the assets, Gerry incurred an additional expense of $975 for the conversion to an S corporation. We include this amount in the calculation of the beginning basis.

Therefore, Gerry's beginning basis in the S corporation is $29,170 + $975 = $20,545.

This beginning basis is important for determining Gerry's tax consequences and future deductions within the S corporation structure.

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Answer:

the answer for this problem is x^2+2x-15

Step-by-step explanation:

(x+5)(x-3)

x(x-3)+5(x-3)

x^2-3x+5(x-3)

x^2-3x+5x-15

=x^2+2x-15

Answer:

First question (on left) f(x) = 5x-3. second question (on right) f)x) = 1/2*x

Step-by-step explanation:

rise(left) 4. run (left) 20.

rise(right) 8. run(right) 4.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given,  Tamara sold x + 20, Rueben sold 3( x + 20 ) pizzas, and Dwayne sold x pizzas.

We can simplify and combine the expressions for the total number of pizzas sold by each person:

Total pizzas sold = Dwayne's pizzas + Tamara's pizzas + Rueben's pizzas

= x + (x + 20) + 3(x + 20) [substituting the given expressions]

= x + x + 20 + 3x + 60

= 5x + 80

Therefore, the total number of pizzas sold by all three people is 5x + 80.

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Complete question:

Dwayne sold x pizzas. tamara sold x + 20. rueben sold 3( x + 20 ) pizzas.

State the comparison among all of three about the sold Pizzas.

The value of the angle θ₁, located in Quadrant IV with sin(θ₁) = -13/85, is such that cosθ₁ = 84/85.

In the given scenario, the angle θ₁ is located in Quadrant IV and sin(θ₁) is given as -13/85. We can use the trigonometric identity to determine the value of cosθ₁.

Using the Pythagorean identity sin²θ + cos²θ = 1, we can substitute sin(θ₁) = -13/85:

(-13/85)² + cos²θ₁ = 1

Simplifying:

169/7225 + cos²θ₁ = 1

cos²θ₁ = 1 - 169/7225

cos²θ₁ = (7225 - 169)/7225

cos²θ₁ = 7056/7225

Taking the square root of both sides, we get:

cosθ₁ = √(7056/7225)

Since the angle θ₁ is located in Quadrant IV where cosθ₁ is positive, the value of cosθ₁ is:

cosθ₁ = √(7056/7225)

Simplifying the square root:

cosθ₁ = 84/85

Therefore, the value of the angle cosθ₁ is 84/85.

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The complete question is:

The angle θ₁ is located in Quadrant IV and  sin(θ₁) = -13/85. What is the value of the angle cosθ₁?

The probability mode for the given value is created. The expected value and standard deviation of prospective winnings are -$0.28 and $18.33. The expected value and standard deviation if the game is played five times are -$1.40 and $40.99. The probability that the person running the game makes a profit is 0.561.

Probability is a way to determine how likely something is to happen. It is computed by dividing the frequency of the event by the total number of outcomes. The formula then becomes P(X) = frequency of the event÷total number of outcomes.

The product of the probabilities determines the likelihood that two or more occurrences will coincide. This is given by, P(A and B) = P(A)P(B).

a) To create a probability model follow the steps. Let X is an occurrence of an event.  The table is attached here.

b)  The expected value is calculated using the formula, E(X) = μ = ∑ x P(x).

\(\begin{aligned}E(X)=\mu&=x_1p_1+x_2p_2+x_3p_3\\&=40\left(\frac{1}{6}\right)+0\left(\frac{5}{36}\right)+(-10)\left(\frac{25}{36}\right)\\&=-\$ 0.28\end{aligned}\)

Also,

\(\begin{aligned}E(X^2)&={x_1}^{2}p_{1}+{x_2}^{2}p_{2}+{x_3}^{2}p_{3}\\&=(40)^2\frac{1}{6}+(0)\frac{5}{36}+(-10)^2\frac{25}{36}\\&=(1600)\frac{1}{6}+(0)\frac{5}{36}+(100)\frac{25}{36}\\&=266.67+69.44\\&=336.11\end{aligned}\)

And the standard deviation is calculated using the formula, σ=√Var[X].

\(\begin{aligned}\sigma=\sqrt{\text{Var}(X)}&=\sqrt{E(X^2)-E(X)^2}\\&=\sqrt{336.11-0.08}\\&=\sqrt{336.03}\\&=\$18.33\end{aligned}\)

c) The expected value and standard deviation for playing the game 5 times are calculated as follows.

The expected value is,

\(\begin{aligned}5\times E(X)&=5(-\$0.28)\\&=-\$1.40\\\end{aligned}\)

The standard deviation is,

\(\begin{aligned}\sigma&=\sqrt{5\times\tex{Var}(X)\\&=\sqrt{5\times336.03\\&=\sqrt{1680.15}\\&=\$40.99\end{aligned}\)

d) The dice rolling is random and the winning chance is independent. The probability the person running the game makes a profit (P(x<0)) is given by,

The population mean, μ(Y) = -$0.28

The standard deviation for a population of 100 is,

\(\begin{aligned}\sigma&=\sqrt{\frac{\text{Var}(X)}{n}}\\&=\frac{18.33}{\sqrt{100}}\\&=1.83\end{aligned}\)

The z-score for mean winning is,

\(\begin{aligned}z&=\frac{x-\mu}{\sigma}\\&=\frac{0-(-0.28)}{1.83}\\&=0.153\end{aligned}\)

For a person to make a profit, the mean winning of the player should be less than the z-score. Then,

The P-value from the z-table, P(z<0.153)=0.5608

The answer is 0.561.

The complete question is -

You pay $10 and roll a die. If you get a 6, you win$50. If not, you get to roll again. If you get a 6 this time, you get your $10 back. a) Create a probability model for this game. b) Find the expected value and standard deviation of your prospective winnings. c) You play this game five times. Find the expected value and standard deviation of your average winnings. d) 100 people play this game. What’s the probability the person running the game makes a profit?

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Answer:

x=9

Step-by-step explanation:

80+6x+16=17x-3

=>17x-3-6x-16=80

=>11x-19=80

=>11x=80+19

=>11x=99

=>x=99/11

therefore

x=9

Answer:

I believe it is Kadeem who takes longer by 10 minutes.

Step-by-step explanation:

A person whose speed is slow will take longer to reach so Kadeem takes longer by 0.5 hours.

Given that,
Kadeem and Quinn both drive 25 miles.
Kadeem drives at a constant speed of 50 miles an hour.
Quinn drives at a constant speed of 75 miles an hour.
To determine who takes longer to drive the 25 miles.

Distance is defined as the object traveling at a particular speed in time from one point to another.

Here,
Time is taken by Kadeem to reach 25 miles with a speed of 25 miles per hour
= 25 / 50 = 0.5 hour

Time is taken by Quinn to reach 25 miles with a speed of 75 miles per hour,
= 25 / 75 = 0.34 hour

Thus, a person whose speed is slow will take longer to reach so Kadeem takes longer by 0.5 hours.

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true

explanation

truth

Answer:

-6

Step-by-step explanation:

Answer:

No -6

Step-by-step explanation:

Answer:

r=24

Step-by-step explanation:

The probability is 0.4647.

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To build a concrete block wall, Kamila needs to determine the number of blocks required. The wall dimensions are 12 feet long, 6 feet high, and 8 inches thick. The task is to calculate number of blocks needed for wall.

To calculate the number of blocks needed, we first convert the wall dimensions to inches. The wall is 12 feet long, which is equivalent to 144 inches, and 6 feet high, equivalent to 72 inches. The thickness of the wall is 8 inches.

Next, we calculate the volume of each concrete block. The block measures 16 inches in length, 8 inches in width, and 8 inches in depth, resulting in a volume of 1024 cubic inches.

To determine the number of blocks needed, we divide the total volume of the wall by the volume of each block. The total volume of the wall is obtained by multiplying the length, height, and thickness, which gives 82,944 cubic inches.

Finally, by dividing the total wall volume by the block volume, we find that Kamila will need approximately 81 blocks to build the wall.

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The required answer is Kamila will need 81 concrete blocks to build the wall. To calculate the number of blocks Kamila will need to build the wall, we need to find the volume of the wall and divide it by the volume of each concrete block.

First, let's convert the measurements to a consistent unit. Since the dimensions of the concrete block are given in inches, we'll convert the length and height of the wall from feet to inches:

Length of the wall = 12 feet = 12 * 12 = 144 inches

Height of the wall = 6 feet = 6 * 12 = 72 inches

Thickness of the wall = 8 inches

Next, we'll calculate the volume of the wall:

Volume of the wall = Length * Height * Thickness

= 144 inches * 72 inches * 8 inches

= 82944 cubic inches

Now, let's calculate the volume of each concrete block:

Volume of each block = Length * Width * Depth

= 16 inches * 8 inches * 8 inches

= 1024 cubic inches

Finally, we'll divide the volume of the wall by the volume of each block to find the number of blocks needed:

Number of blocks = Volume of the wall / Volume of each block

= 82944 cubic inches / 1024 cubic inches

≈ 81 blocks

Therefore, Kamila will need approximately 81 concrete blocks to build the wall.

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Answer:

answer is d

Step-by-step explanation:

Hey there!

=> \(550 \times \frac{22}{100} \)

=> \( \frac{550}{1} \times \frac{22}{100} \)

cancel the zeros of 100 and 550

=> \( \frac{55}{1} \times \frac{22}{10} \)

=> \( \frac{1,210}{10} \)

=> 121 ( Substract 121 from 550)

=> 429

Therefore, Selling price is 429

The estimate for the total number of people in the village who are older than 40 but not older than 60 is 23.

To estimate the total number of people in the village who are older than 40 but not older than 60, we need to sum up the frequencies corresponding to the age group 40 < x ≤ 60.

From the given information, the frequency for the age group 40 < x ≤ 60 is 23.

It's important to note that this estimate assumes that the frequency distribution is representative of the entire population in the village. The given frequencies represent the number of individuals falling into specific age groups. By summing up the frequency for the age group of interest, we obtain an estimate of the total number of individuals within that age range.

However, this estimate may not capture the exact count of people aged 40 to 60, as it relies on the assumption that the frequency distribution accurately represents the entire population. Additionally, this estimate does not account for any potential variations or fluctuations in the population or age distribution.

To obtain a more precise estimate, a comprehensive survey or census specifically targeting the age group of interest would be necessary.

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Answer:

The divisors of 20 are 1, 2, 4, 5, 10, and 20. A 6-sided dice has the numbers 1 to 6 on its faces. The probability of rolling a number that is a divisor of 20 is the number of favorable outcomes divided by the number of possible outcomes. There are four favorable outcomes (1, 2, 4, and 5) and six possible outcomes (1 to 6). Therefore, the probability is 4/6 or 2/3 or about 0.67.

51 is not one of the values in the dataset, it would not be represented or plotted on the box plot.

In a box plot, the central line within the box represents the median of the dataset.

However, if the value 51 is not present in the dataset, it means that it is not one of the data points.

Therefore, there would be no data point at 51 to plot on the box plot.

A box plot typically consists of a box that represents the interquartile range (the range between the first quartile and the third quartile), with a line inside the box representing the median.

The whiskers extend from the box to the minimum and maximum values, excluding any outliers.

Since 51 is not one of the values in the dataset, it would not be represented or plotted on the box plot.

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The average change in the volume of water per day is obtained as 0.625  litres.

The rate change of volume is the change of volume with respect to time.

For instantaneous change the derivative of the expression of volume can be taken.

The average change in the volume of water can be obtained as follows,

Average change = Volume of water ÷ Number of days

                            = 2.5 ÷ 4 = 0.625

Hence, the average change in water volume is given as  0.625 liters per day.

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Answer:

3 3/4 or 3/75

Step-by-step explanation:

Answer:

3 3/4 or 3.75

The probability that it will rain both days is \(\frac{1}{4}\).

According to the question

Mr. and mrs. smith plan to roof the cabin on 2 consecutive days.

Assuming that the chance of rain is independent of the day

Probability is the chance that some event will happen.

It is the ratio of the number of ways a certain event can occur to the number of possible outcomes.

Probability = Number of ways it can occur/Total number of outcomes

Probability of rain on first day = 1/2

Probability of rain on second day = 1/2

Then

Probability of rain on both days = \(\frac{1}{2}\) × \(\frac{1}{2}\) = 1/4

Hence,

The probability that it will rain both days is \(\frac{1}{4}\).

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The conical surface is the correct answer as it allows for slopes ranging from 20:1 to 50:1. The FAR Part 77 imaginary surface that has slopes that may range from 20:1 to 50:1 is the conical surface.

The conical surface is a three-dimensional surface defined by a combination of horizontal and inclined planes. It extends upward and outward from the end of the primary surface and has varying slope requirements. The slope of the conical surface represents the ratio of the change in elevation to the horizontal distance. A slope of 20:1 indicates that for every 20 units of horizontal distance, there is a 1-unit increase in elevation.

Similarly, a slope of 50:1 means that for every 50 units of horizontal distance, there is a 1-unit increase in elevation. Therefore, the conical surface is the correct answer as it allows for slopes ranging from 20:1 to 50:1.

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Answer:

Step-by-step explanation:

Answer: 1

Step-by-step explanation: 1.27 is 27 hundredths from 1, but 73 hundredths from 2. Therefore it's nearest whole number is 1.00 = 1.