Find the area of the semicircle.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal. 6

The value of x must be between -18 and -6. The solution has been obtained using Triangle inequality theorem.

What is Triangle inequality theorem?

The triangle inequality theorem explains how a triangle's three sides interact with one another. This theorem states that the sum of the lengths of any triangle's two sides is always greater than the length of the triangle's third side. In other words, the shortest distance between any two different points is always a straight line, according to this theorem.

We are given three sides of a triangle as 8, 6 and x+20

Using Triangle inequality theorem,

⇒8+6 > x+20

⇒14 > x+20

⇒-6 > x

Also,

⇒x+20+6 > 8

⇒x+26 > 8

⇒x > -18

Also,

⇒x+20+8 > 6

⇒x+28 > 6

⇒x > -22

From the above explanation it can be concluded that x is less than -6 but greater than -22 and -18.

This means that x must lie between -18 and -6.

Hence, the value of x must be between -18 and -6.

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Answer: To answer this question, we would need to know the rate of water flow through the leaky faucet and the duration of time it leaks for. Without this information, it is not possible to calculate how much water is wasted in a day.

For example, if we assume that the leaky faucet drips once every second and each drip is equivalent to 0.25 milliliters of water, we can calculate the amount of water wasted in a day as follows:

1 day = 24 hours x 60 minutes/hour x 60 seconds/minute = 86,400 seconds

Number of drips in a day = 86,400 seconds x 1 drip/second = 86,400 drips

Amount of water wasted in a day = 86,400 drips x 0.25 milliliters/drip = 21,600 milliliters = 21.6 liters

Therefore, if the leaky faucet drips once every second and each drip is equivalent to 0.25 milliliters of water, it would waste approximately 21.6 liters of water in a day.

However, it is important to note that the rate of water flow through a leaky faucet can vary widely, so this is just one example calculation.

Step-by-step explanation:

Answer:

\( \frac{5}{12} \)

Step-by-step explanation:

\( \frac{7}{12} - \frac{1}{6} \\ \\ = \frac{7}{12} - \frac{2}{12} \\ \\ = \frac{7 - 2}{12} \\ \\ = \frac{5}{12} \)

Answer:

0.41666666666

or

5/12

Step-by-step explanation:

Answer:

$5.61

Step-by-step explanation:

Just multiply 1.87 and 3

If you really need a step by step ex take out the decimal and multiply 187 and 3 and put the decimal back in

The correct answer is (D) A and B. Both a run of six points or more and an astronomical point can be rules for determining non-random patterns.

A run of six points or more refers to a sequence of data points that share a common characteristic or exhibit a consistent trend.

In statistical analysis, a run is a consecutive sequence of data points above or below a certain threshold. If there is a run of six points or more in a dataset, it suggests a non-random pattern or trend.

An astronomical point refers to a data point that significantly deviates from the expected pattern or falls outside the normal range of values. This point stands out as an outlier and may indicate a non-random pattern in the data.

By combining these two rules, A and B, we can identify non-random patterns in a dataset. A run of six points or more indicates a sustained trend, while an astronomical point signifies a significant deviation from the expected pattern.

It's important to note that a trend of three points or fewer, as mentioned in option (C), does not provide enough evidence to determine a non-random pattern. A trend of three points or fewer may still be subject to randomness or noise in the data, and it is not considered statistically significant.

Therefore, the correct answer is option (D) A and B, as both a run of six points or more and an astronomical point can help identify non-random patterns in data.

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Answer:

imaginary number and a real number

Answer:

gemma gets 6 and zac gets 12

Step-by-step explanation:

zac gets double the about

Answer:

B

Step-by-step explanation:

360 - (100+91+95) = 74

Because angles in a quadrilateral add upto 360 degrees

The value of function  f(4) is 27.

It is required to find the value of function  f(4).

What is function?

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given that:

The function is

f(x) = 6x +3

Now put the value x=4 in the given function, we get

f(4)=6(4) +3

= 24+3

=27

f(4)=27.

Hence, the value of function  f(4) is 27.

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Answer:

A I assume

Step-by-step explanation:

I was between A and D ( The first one and the last) but I think a makes more sense

The expected value tells us about the central tendency of a distribution, while the variance (or standard deviation) tells us about its dispersion or spread.

The expected value, denoted as E(X) or µ, represents the average or mean value that we can expect to obtain from a random variable X. It provides a measure of the central tendency or the "typical" value of the distribution. For example, if we have a distribution of the heights of a group of people, the expected value would give us the average height of the group.

On the other hand, the variance, denoted as Var(X) or σ², measures the spread or dispersion of the distribution. It quantifies how far the values of the random variable X deviate from the expected value. The square root of the variance, known as the standard deviation (σ), provides a more interpretable measure of spread in the same units as the random variable itself. A larger variance or standard deviation indicates a wider spread of values around the expected value, while a smaller variance or standard deviation indicates a more concentrated distribution.

In summary, the expected value summarizes the central tendency of a distribution, while the variance or standard deviation quantifies the dispersion or spread of the distribution.

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Answer:

273

Step-by-step explanation:

area of parallelogram = b × h

13 × 21

273 cm

i hope its help u ,

I will win about $ 59.

This is a question of permutations and combinations.

We know that,

Probability of getting two non face cards = \(\frac{^{40}C_2}{{^{52}C_2}}\) = 10/17

Probability of not getting two non face cards = 1 - (10/17) = 7/17

Hence, we can write,

Money I will get = (7/17)*50*20 =  $ 411.764

Money I'll have to pay = (10/17)*30*20 = $ 352.94

We know that,

Money left with me = Money I will get - Money I'll have to pay

Hence, we can write,

Money left with me =   $ 411.764 - $ 352.94

Money left with me =  58.824 ≈ $ 59

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Answer:

The answer I got was

Step-by-step explanation:

[7, 4, 3]

You use the matrix calculator and then select a*b

Answer:

y = -3x + 5

Step-by-step explanation:

slope-intercept form means it should look like

y = mx + b

9x + 3y – 15 = 0

3y = -9x + 15

y = -3x + 5

The total change in the consumed quantity of x₁ as per given price and income  is equal to 213.

x₁ = (21/7)P₁

x₂ = (51/7)P₂

P₁ = 10

P₂ = 5

P₁' = 81

To calculate the total change in the quantity consumed of x₁ when the price of P₁ changes from P₁ to P₁',

The difference between the quantities consumed at the original price and the new price.

Let's calculate the quantity consumed at the original price,

x₁ orig

= (21/7)P₁

= (21/7) × 10

= 30

x₂ orig

= (51/7)P₂

= (51/7) × 5

= 36.4286 (approximated to 4 decimal places)

Now, let's calculate the quantity consumed at the new price,

x₁ new

= (21/7)P1'

= (21/7) × 81

= 243

x₂ new

= (51/7)P2

= (51/7) × 5

= 36.4286

The total change in the quantity consumed of x₁ can be calculated as the difference between the new quantity and the original quantity,

Change in x₁

= x₁ new - x₁ original

= 243 - 30

= 213

Therefore, the total change in the quantity consumed of x₁ is 213.

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The above question is incomplete, the complete question is:

The optimal amount of x1, x2, P1, P2 and income are given by the following:

x1= 21/ 7p1 x2= 51 / 7p2

The original prices are: P1=10 P2=5 The original income is: I =4189 The new price of P1 is the following: P1'=81 Assume that the price of x1 has changed from P1 to P1'. What is the total change in the quantity consumed of x1?

Please answer step by step

Answer:

The annual profits will be 2187.5

Step-by-step explanation:

p(x) = 65x - 0.3x^2

I am guessing that the 2 was supposed to be a square.

Simply plug in the number of pies sold:

p(175) = 65(175) - 0.3(175)^2 = 11375 - 0.3*30625 = 11375 - 9187.5 = 2187.5

Answer:

yes -9 Is greater than -10

The probability of the coins penny and nickel both should show heads when four coins flip simultaneously is equal to 1/4.

As given in the question,

Number of coins flip simultaneously = 4

Possible outcomes on flipping a outcome = { head , tail}

Total outcomes = 2

Probability of getting a head for each coin = 1 /2

Probability of getting heads on both the coins penny and nickel

= ( 1 / 2 ) × ( 1 / 2 )

= ( 1 / 4 )

Therefore, the probability of getting heads on both the coins penny and nickel is equal to 1 / 4.

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James has 117 merit points, Sarah has 351 merit points, and Robert has 56 merit points.

Let's break down the given information and solve the problem step by step.

Let's assume James has x merit points.

According to the given information, Sarah has three times as many merit points as James. Therefore, Sarah has 3x merit points.

Robert has 61 fewer merit points than James. So, Robert has (x - 61) merit points.

Now, we can calculate the total value of the merit points in pence. Since each merit point is worth 3 pence, we can express the total value in pence as:

Value in pence = (x * 3) + (3x * 3) + ((x - 61) * 3)

Next, we need to convert the total value from pence to pounds. Since there are 100 pence in 1 pound, we divide the total value in pence by 100 to get the value in pounds:

Value in pounds = Value in pence / 100

According to the problem, the total value is £15.72. So we can set up the equation:

Value in pounds = 15.72

Now we can substitute the expression for the value in pounds into the equation:

((x * 3) + (3x * 3) + ((x - 61) * 3)) / 100 = 15.72

Simplifying the equation:

(3x + 9x + 3x - 183) / 100 = 15.72

Combining like terms:

15x - 183 / 100 = 15.72

Multiplying both sides of the equation by 100 to eliminate the fraction:

15x - 183 = 1572

Adding 183 to both sides:

15x = 1755

Dividing both sides by 15:

x = 117

Now we have the value of x, which represents the number of merit points James has. Plugging this value into the expressions we obtained earlier, we can find the number of merit points for each student:

James: x = 117 merit points

Sarah: 3x = 3 * 117 = 351 merit points

Robert: (x - 61) = 117 - 61 = 56 merit points

Therefore, James has 117 merit points, Sarah has 351 merit points, and Robert has 56 merit points.

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Hope this helps, if not sorry.

We have the following details

mean = 554

n = 60

bar x = 567

alpha = 0.01

A. h0. u = 554

H1. u > 554

B. Given that the standard deviation is known what we have to make use of is the independent z test

test statistics calculation

567-554/(39/√60)

= 2.582

d. at alpha = 0.01 and test statistics = 2.582, the value of the p value = 0.0049

0.0049  < 0.01. So we have to reject the null hypothesis.

e. Yes We have to accept that  we support the preparation course's claim that the population mean SAT score of its graduates is greater than 554

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Answer:

-5x-10y=15

-3x+10y=25

-8x=40

x= - 5, y= 1

Step-by-step explanation:

The work done by the charge escalator to move 2.40 μC of charge from the negative terminal to the positive terminal of a 2.00 V battery is 4.80 * 10⁻⁶  CV.

To calculate the work done by the charge escalator to move 2.40 μC of charge from the negative terminal to the positive terminal of a 2.00 V battery, we can use the equation:

Work (W) = Charge (Q) * Voltage (V)

Given:

Charge (Q) = 2.40 μC

Voltage (V) = 2.00 V

Converting μC to C, we have:

Charge (Q) = 2.40 * 10⁻⁶ C

Plugging in the values into the equation, we get:

Work (W) = (2.40 * 10⁻⁶ C) * (2.00 V)

Calculating the multiplication, we find:

W = 4.80 * 10⁻⁶ CV

Therefore, the work done by the charge escalator to move 2.40 μC of charge from the negative terminal to the positive terminal of a 2.00 V battery is 4.80 * 10⁻⁶ CV.

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The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.

A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.

B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.

\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.

That leaves \(27-14=13\) matches. These represent the matches team lost.

Finally, the answers are below.

\(A)29\)
\(B)13\)

Answer:

  a) 29 points

  b) 13 losses

Step-by-step explanation:

You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.

The number of points the team has is ...

  P = 3W +D

  P = 3(8) +(5) = 29

The team has 29 points.

You want the number of losses the team has if it has 54 points and 12 draws after 39 games.

The number of wins is given by ...

  P = 3W +D

  54 = 3W +12

  42 = 3W

  14 = W

Then the number of losses is ...

  W +D +L = 39

  14 +12 +L = 39 . . . substitute the known values

  L = 13 . . . . . . . . . . subtract 26 from both sides

The team lost 13 games.

__

Additional comment

In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)

<95141404393>

If:

so:

Or:

0.32 liters

(b)

We need to find the volume of the rectangular prism, therefore:

However, we need to express the volume in liters, so:

Since we need to know the amount of mango juice:

The expression can be rewrite as \((2\times x)+(2\times4)\) using distributive property and on simplification ,it gives \(2x+8\) .

Use this property of multiplication rather than addition when you need to multiply a number by the sum of two numbers.

Let's use properties to calculate given the expression. The number 2 is divided by two addends. Simply put , multiply each summand by 2 and add the products together.

By using distributive property , we get

\(2(x+4)=(2\times x)+(2\times4)\)

On simplifying , we get

\((2\times x)+(2\times4)=2x+8\)

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

\(\huge\textbf{What is the distributive property}\\\\\huge\textbf{formula?}\)

\(\mathsf{a(b + c)}\\\\\mathsf{= a(b) + a(c)}\\\\\mathsf{= ab + ac}\)

\(\huge\textbf{But what about your equation?}\)

\(\mathsf{2(x + 4)}\\\\\mathsf{= 2(x) + 2(4)}\\\\\mathsf{= 2x + 8}\)

\(\huge\text{Therefore your answer should be: \boxed{\mathsf{2x + 8}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)