What is the interquartile range (IQR) of the data set?3,8,11,11,

12,13,15

Answer:

28 degrees

Step-by-step explanation:

A triangle is 180 degrees. 180-152=28.

Answer:

The third angle is 28 degrees

Step-by-step explanation:

A triangle has to add up to 180 degrees so just take 180 subtract your 152 from it and you'll have your answer!. (180 - 152 = 28) Hope this helps! :)

Answer:

\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)

Answer:

8

Step-by-step explanation:

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

Factors of 64: 1, 2, 4, 8, 16, 32, 64

They share 1, 2, 4, and 8. 8 is the greatest digit in this case therefore it's your final answer.

The required greatest common factor of 24 and 64 is 8.

The greatest common factor is defined as a group of the set of numbers that is the most considerable and greatest factor that all the numbers include.

Here,
Factors of the number 24 and 64 is given as

24 ⇒ 1, 2, 3, 4, 6, 8, 12, 24

64 ⇒ 1, 2, 4, 8, 16, 32, 64,

Pick the common factor,
= 1, 2, 4, 8,
Among the common factors, 8 is the greatest number,

Thus, the required greatest common factor of 24 and 64 is 8.

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Answer:

Step-by-step explanation:

En geometría, el segmento es un fragmento de recta que está comprendido entre dos puntos, llamados puntos extremos o finales. Así, dado dos puntos A y B, se llama segmento AB a la intersección de la semirrecta de origen A que contiene al punto B con la semirrecta de origen B que contiene al punto A

The power to which a number or expression is raised is called the exponent.

1. An exponent is a mathematical notation that represents the power to which a number or expression is raised. It is written as a superscript number or variable placed above and to the right of the base number or expression.

2. The base number or expression is the number or expression that is being multiplied repeatedly by itself, raised to the power of the exponent.

3. The exponent tells us how many times the base number or expression should be multiplied by itself. For example, in the expression \(2^3\), the base is 2 and the exponent is 3. This means that 2 should be multiplied by itself three times: 2 * 2 * 2 = 8.

4. The exponent can be a positive whole number, a negative number, zero, or a fraction. Each of these cases has different interpretations:

  - Positive exponent: Indicates repeated multiplication. For example, \(2^4\)means 2 multiplied by itself four times.

  - Negative exponent: Indicates the reciprocal of the base raised to the positive exponent. For example, \(2^{-3\) means 1 divided by \(2^3\).

  - Zero exponent: Always equals 1. For example, \(2^0\) = 1.

  - Fractional exponent: Represents a root. For example, \(4^{(1/2)\)represents the square root of 4.

5. Exponents follow certain mathematical properties, such as the product rule \((a^m * a^n = a^{(m+n)})\), the quotient rule \((a^m / a^n = a^{(m-n)})\), and the power rule \(((a^m)^n = a^{(m*n)})\).

Remember to use these rules and definitions to correctly interpret and evaluate expressions involving exponents.

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Answer:

3/10

Step-by-step explanation:

it is completely simplified already

The inverse of the given function is g'(x) = ±√x-7/6

Given that a function g(x) = 6x²-7,

We need to find the inverse of the given function.

To find the inverse of any function, we flip the x and y  in the original function.

f(x) = 6x² - 7

y = 6x² - 7

x = 6y² - 7

6y² = x - 7

y = ±√x-7/6

Hence the inverse of the given function is g'(x) = ±√x-7/6

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The proportion of persons who are 38 years old or older is 0.25.

Proportion is defined as when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal. It is a mathematical comparison between two numbers.

Proportion = (number of persons 38 years old or older) / (total number of persons)

For example, if there are 100 persons and 25 of them are 38 years old or older, the proportion would be:
Proportion = 25 / 100 = 0.25

To round to 2 decimal places, we would round 0.25 to 0.25.

So the proportion of persons who are 38 years old or older is 0.25, or 25%.

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Answer: 62

Step-by-step explanation:

\(\displaystyle\bf 9x^2-4x-7 =0 \\\\ Synthetic \ \ division\ \ if \ \ x-3 =0 => x=3 \\\\ then \ \ 3| \underline{ \ 9 \ | \ -4 \ | \ -7 \ | } \\\\ . \!\! \qquad\qquad +|3*9| \ \ 23*3 | \\ .\!\!\!\!\!\1 \qquad \qquad \qquad | \ 23 \ | \ \ \ \boxed{62}\)

The cost of the apples is 2.9 dollars.

The cost of the bananas is 5.7 dollars.

The total cost is 6 dollars, each apple cost $1.50 each banana cost $.30 and there’s two more bananas then apples.

Therefore,

let

x = number of apples

y = 2x

where

Therefore, using equations,

1.5(x) + y(0.30) = 6

Hence,

where

y = 2x

1.5(x) + 2x(0.30) = 6

1.5x + 0.6x = 6

2.1x = 6

divide both sides by 2.1

x = 6 / 2.1

x = 2.9 dollars

y = 2(2.9) = 5.7 dollars

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Answer:

The formula for the area of a rectangle is A = L x W, where A is the area, L is the length, and W is the width.

We are given that the length of the rectangle is 8 centimeters and the area is (16x+24) sq. cm.

Substitute these values into the formula and solve for the width:

A = L x W

(16x+24) = 8 x W

16x + 24 = 8W

Divide both sides by 8:

2x + 3 = W

Therefore, the width of the rectangle is 2x + 3 centimeters.

Answer:

a) 11%

b) 56%

Step-by-step explanation:

a) A= πr^2    6^2π= 36π    A= 18^2π = 324π

36π/324π = .111111111111111111111111 or 11%

remember to cancel out the pi symbols when you are showing your work

(put a line across the pi symbols when dividing)

b)   A= πr^2         18^2 π = 324π

     A= πr^2          12^2π = 144π  

              324 – 144  = 180

180π/324π = .5555555555555555555555556 or 56%

remember to cancel out the pi symbols when you are showing your work

(put a line across the pi symbols when dividing)

a. Ordinary differential equation, second order, independent variable: t, dependent variable: x, linear.b. Ordinary differential equation, first order, independent variable: x, dependent variable: y, nonlinear.c. Partial differential equation, second order, independent variables: x, y, dependent variable: u, linear.

a. The given differential equation is an ordinary differential equation because it involves only one independent variable, t, and one dependent variable, x. The order of the equation is 2 because it involves the second derivative of x. It is a linear differential equation because the highest power of the dependent variable, x, and its derivatives is 1.

b. This differential equation is also an ordinary differential equation as it involves only one independent variable, x, and one dependent variable, y. The order of the equation is 1 because it involves the first derivative of y. It is a nonlinear differential equation because the terms involving y and its derivative are multiplied together.

c. The given differential equation is a partial differential equation as it involves multiple independent variables, x and y, and a dependent variable, u. The equation is of second order because it involves the second partial derivatives of u with respect to x and y. It is a linear partial differential equation because the terms involving u and its derivatives are only multiplied by constants.

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Using prime notation, the new coordinates after translation are;

New coordinates;

A': (-1, 1)

B': (-1, -2)  

C': (3, -2)

D': (3, 2)

A(-6, 5)

B(-6, 2)

C(-2, 2)

D(-2, 6)

        A(-6 + 5, 5 - 4)

        B(-6 + 5, 2 - 4)

        C(-2 + 5, 2 - 4)

        D(-2 + 5, 6 - 4)

Simplifying each of them gives us the new coordinates as;

A: (-1, 1)

B: (-1, -2)  

C: (3, -2)

D: (3, 2)

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Answer:

Step-by-step explanation:

join my phone and I'm not going away from your heart

Answer:

22500

(75 * 60) * 5 = 22500

Answer; present value of $12,200 to be received 4 years from today, with a discount rate of 5 percent, is $10,027.51.

The present value of $12,200 to be received 4 years from today can be calculated using the formula for present value. The formula is:

Present Value = Future Value / (1 + Discount Rate)^n

Where:
- Future Value is the amount to be received in the future ($12,200 in this case)
- Discount Rate is the interest rate used to discount future cash flows (5 percent in this case)
- n is the number of periods (4 years in this case)

Plugging in the given values into the formula:

Present Value = $12,200 / (1 + 0.05)^4

Calculating the exponent first:

(1 + 0.05)^4 = 1.05^4 = 1.21550625

Dividing the future value by the calculated exponent:

Present Value = $12,200 / 1.21550625

Calculating the present value:

Present Value = $10,027.51

Therefore, the present value of $12,200 to be received 4 years from today, with a discount rate of 5 percent, is $10,027.51.

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The Expectation Maximization (EM) algorithm is an iterative method for estimating parameters in statistical models, particularly in situations where some of the data is missing or incomplete.

It alternates between computing expected likelihood of missing data given current parameter estimate (E-step) and maximizing likelihood of complete data using previous step (M-step) until convergence.

Particularly in situations where some of the data is missing or when the data is incomplete. The algorithm alternates between computing the expected likelihood of the missing data given the current estimate of the parameters (E-step) and maximizing the likelihood of the complete data using the expected likelihood from the previous step (M-step), until convergence.

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Answer:

Triangle MHT and Triangle TMA are congruent.

If you reflect over the dotted line, point H and A will be on the same point. The triangles are also the same shape and same size.

Answer:

16..............................

Answer:

you should download AIR MATH

If 40% of the students on the museum trip love the museum, then the remaining 60% don't love the museum. To find out how many students love the museum, we can multiply the total number of students by the percentage who love the museum:

Number of students who love the museum = 40% of 240 students

= 0.4 x 240

= 96 students

Therefore, 96 students on the field trip love the museum.

The answer of the given question is A) the correct option is A)No. Isobel needs 19 batches x 2 cups per batch = 38 cups of water. 19).  Isobel would need 768 tablespoons of cornstarch to make 24 batches of green slime.

In mathematics,  formula is  concise and general way of expressing information or  relationship between quantities. It typically consists of symbols and mathematical operations, and is used to calculate or derive  specific value or result based on given inputs or variables.

Formulas can be used in a variety of mathematical contexts, such as algebra, geometry, calculus, and statistics. They can describe simple relationships between two or more variables, or more complex relationships involving multiple variables and equations.

A. No. Isobel needs 19 batches x 2 cups per batch = 38 cups of water. Since Isobel only has 36 cups of water, she does not have enough water to make 19 batches of green slime.

Therefore, the correct choice is A.

19).  To answer the second question:

Given that one cup is equal to 16 tablespoons, we can calculate the total number of tablespoons needed for 24 batches of green slime as follows:

24 batches x 2 cups per batch x 16 tablespoons per cup = 768 tablespoons.

Therefore, Isobel would need 768 tablespoons of cornstarch to make 24 batches of green slime.

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Answer:d

Step-by-step explanation:

The answer is d. None of the above is true.

To calculate velocity, we need to use the equation:

Velocity = M * P / Y

Given:

M = 1,000

P = 2.25

Y = 2,000

Plugging in the values:

Velocity = 1,000 * 2.25 / 2,000

Simplifying:

Velocity = 2.25 / 2

The result is:

Velocity = 1.125

Therefore, the correct answer is: d. None of the above is true.

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Answer:

1.875kg

Step-by-step explanation:

48 - 1000g

90 - x

48x = 90000

x = 90000/48

  = 1875g = 1.875kg

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The probability of Mozart and those who listen to no music at all to be between -5.12 and -0.08, with 90% confidence.

a) To test whether it is better to study while listening to Mozart than rap, we can use a two-sample t-test.

t = (10.00 - 10.72) / (3.66√(1/20 + 1/29)) = -0.57

Using a t-distribution with 47 degrees of freedom, the critical value for a one-tailed test with a significance level of 0.05 is 1.677.

Since our test statistic is less than the critical value, we fail to reject the null hypothesis.

Therefore,

There is not enough evidence to suggest that it is better to study while listening to Mozart than rap.

b) To create a 90% confidence interval for the mean difference in memory score between students who study to Mozart and those who listen to no music at all, we can use the formula:

CI = (10.00 - 12.77) ± 2.039 * (3.79√(1/20 + 1/13))

= (-5.12, -0.08)

We can interpret this interval as follows:

If we were to repeat this study many times, we would expect the true mean difference in memory score between those who study to Mozart and those who listen to no music at all to be between -5.12 and -0.08, with 90% confidence.

c) To test whether it matters whether one listens to rap music while studying, or is it better without music at all, we can use a two-sample t-test.

The null hypothesis is that there is no difference in mean memory scores

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Answer:

b=2, -8

Step-by-step explanation:

Use symbolab

True, people most often react favorably to four kinds of evidence which includes numerical data, examples, expert testimony.

Peοple οften react favοrably tο fοur kinds οf evidence, which include numerical data, examples, expert testimοny, and narratives. These types οf evidence prοvide different fοrms οf suppοrt and can be persuasive in different ways. Numerical data appeals tο the lοgical and analytical side οf individuals, while examples and narratives make the evidence mοre relatable and memοrable. Expert testimοny adds credibility and authοrity tο the argument. By presenting a cοmbinatiοn οf these types οf evidence, οne can increase the persuasive impact οf their message.

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A firm experiences increasing returns to scale if inputs are doubled and output more than doubles.

When the firm's output grows at a faster rate than the growth in inputs, increasing returns to scale result. In this case, the company experiences economies of scale, which makes it more effective as it grows its production.

The firm is able to boost productivity and efficiency as it expands its scale of operations if inputs are doubled and output more than doubles.

This can be ascribed to a number of things, including specialisation, labour division, the use of capital-intensive technology, discounts for bulk purchases, and spreading fixed costs over a higher output. Lower average costs per unit of output result in higher profitability and competitiveness for the company.

The firm gains a number of benefits from growing returns to scale. First off, it lets the company to benefit from cost savings brought about by economies of scale, allowing it to manufacture goods or services for less money per unit. This may enable more competitive pricing on the market or result in larger profit margins.

Second, raising returns to scale can result in better operational effectiveness and resource utilisation. As the company grows in size, it will be able to use resources more wisely and profit from production volume-related synergies.market prices that are competitive.

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