What is the value of x?
12 ft
13 ft
X ft

Answer:

To the nearest tenth of an inch, the length of the arc is 54.0 inches

Step-by-step explanation:

To determine the length of the arc, x, we need to use the formula for arc length, which is:

arc length = radius * angle (in radians)

Therefore,

arc length = 30 inches * 1.8 radians = 54 inches

Therefore, the 90% confidence interval for the proportion of medical malpractice lawsuits that are dropped or dismissed is (0.635, 0.695).

To construct a confidence interval for the proportion of medical malpractice lawsuits that are dropped or dismissed, we can use the following formula:

CI = p ± z*sqrt((p*(1-p))/n)

where:

- p is the sample proportion of lawsuits that are dropped or dismissed (p = 732/1100 = 0.665)

- z* is the critical value of the standard normal distribution at a 90% confidence level (from a standard normal distribution table, z* = 1.645 for a 90% confidence level)

- n is the sample size (n = 1100)

Substituting the values into the formula, we get:

CI = 0.665 ± 1.645*sqrt((0.665*(1-0.665))/1100)

  = 0.665 ± 0.030

Therefore, the 90% confidence interval for the proportion of medical malpractice lawsuits that are dropped or dismissed is (0.635, 0.695). This means that we can be 90% confident that the true proportion of lawsuits that are dropped or dismissed is between 0.635 and 0.695.

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Answer:

16404.2 feet

Step-by-step explanation:

1 in = 2.54 cm

1 km = 100000 cm

5 km = 100000*5 = 500000

1 feet = 12 in

500000 cm = 500000/2.54 = 196850.39 in  

196850.39 in = 196850.36 / 12 = 16404.2 feet

Answer:

2500

Step-by-step explanation:

Answer:

São seis nonos

Step-by-step explanation:

(1.25 x 12)/ 0.6=

25

Hope this helps :)

Answer:

Taxes: 16%

Clothing: 13%

Insurance: 7%

Step-by-step explanation:

The 99% confidence interval for the population mean of seasonal pine saplings' heights is [266.98, 305.02] millimetres.

To calculate the confidence interval, we can use the formula:

sample mean ± (critical value) x (standard error)

The critical value for a 99% confidence level with 20 degrees of freedom (n-1) is 2.831. The standard error can be calculated as the population standard deviation divided by the square root of the sample size, which gives us 22 / sqrt(21) = 4.79.

Substituting these values into the formula, we get:

286 ± 2.831 x 4.79 = [266.98, 305.02]

Therefore, we can be 99% confident that the true population mean of seasonal pine saplings' heights falls within this interval.

In simpler terms, this means that if we were to take 100 random samples of 21 seasonal pine saplings and calculate the confidence interval for each sample using the same method, 99 of those intervals would contain the true population mean. This also means that there is a 1% chance that our interval does not contain the true population mean.

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A country with little land and few natural resources could make up for such deficits without depending on other countries and having a healthy economy by developing its Human Capital.

Examples of small countries with low natural resources and high GDP are:

It is to be noted that of all the factors of production, (Land, labor, Capital, and Entrepreneurship) Human Capital (Labor and Entrepreneurship) are the most valuable and yield the greatest return on investment.

The Democratic Republic of the Congo is commonly regarded as the world's richest country in terms of natural resources; its undiscovered stockpiles of raw minerals are estimated to be worth more than US $24 trillion.

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Answer:

Acute Triangle

Step-by-step explanation:

So, if 58 is under 90 degrees, that is one acute angle.

If 89 is less than 90 degrees, even if it's just by one, that would also be our second acute angle.

33 is less than 90 degrees.

Therefore, if they are all acute angles that make the triangle, it would be an acute triangle.

Answer:

its a scaleane triangle

Step-by-step explanation:

Explanation:

To solve this question, we will make use of

Angle at the center is twice the angle at the circumference

By substituting the values, we will have

Hence,

The final answer is

Divide total eggs by total hens.

72 / 12 = 6 eggs per hen.

Answer:

C

Step-by-step explanation:

The indivisual blocks aren't in tens that he had subtracted

Answer:

the answer is 3

Step-by-step explanation:

how i got this answer is........i did the round robin and i times 1 *5+4 and i got 9  so you will get 3/4 *9/5 and i got 27/9 and you will divided 9*3 and you will get 3 so that is the answer 3

i hope you did good on your test

The tail is 764 inches tall.

Unit conversion is the process of changing measurement value of one form to another e.g. changing minutes to seconds, or liters to cubic meter. This is done using a conversion factor.

In this case, the conversion factor is:

1 foot = 12 inches

Since the tail of the jet airliner is 63 2/3 feet tall. The tail of a jet airliner in inches will be:

Tail in inches =  (63 2/3) * 12 = 764 inches

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Amy didn't include the negative sign for the 20, so she got an imaginary number.

Richard made it imaginary when he didn't need to. (there isn't a negative sign underneath the radical).

(-5y³ + 3y³ - 3y³) + (5x³ + x³) + ( -2y² + 3y²)  is the combined terms of the given expression.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

Given terms are

⇒  -5y³ + 3y³ + 5x³ - 3y³ + x³ -2y²  + 3y²

Combine all y³ terms

-(5y³ + 3y³ -  3y³)

Combine all  x³ terms

(5x³ + x³)

Combine all y² terms

( -2y² + 3y²)

Add all together (-5y³ + 3y³ - 3y³) + (5x³ + x³) + ( -2y² + 3y²)  is the combined likely terms.

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Answer:y=-2x+6

Step-by-step explanation:

y=-2x+6

Answer:

OP = discount amount × 100 / discount %

Step-by-step explanation:

if I understand this correctly, the actual sale price was 36% (100-64) of the originally marked price.

original price (OP) = 100%

64% of OP = 30

1% of OP = 30/64

OP (100%) = 100 × 30/64

this could be simplified to 100 × 15/32, but this hinders is finding the global formula :

OP = discount amount × 100 / discount %

The sinusoidal function that satisfies the given attributes is f(x) = 10 * sin(2π/5 * x - π/5) + 31.

To find a sinusoidal function with the given attributes, we can use the general form of a sinusoidal function:

f(x) = A * sin(Bx + C) + D

where A represents the amplitude, B represents the frequency (related to the period), C represents the phase shift, and D represents the vertical shift.

Amplitude: The given amplitude is 10. So, A = 10.

Period: The given period is 5. The formula for period is P = 2π/B, where P is the period and B is the coefficient of x in the argument of sin. By rearranging the equation, we have B = 2π/P = 2π/5.

Midline: The given midline is y = 31, which represents the vertical shift. So, D = 31.

f(3) = 41: We are given that the function evaluated at x = 3 is 41. Substituting these values into the general form, we have:

41 = 10 * sin(2π/5 * 3 + C) + 31

10 * sin(2π/5 * 3 + C) = 41 - 31

10 * sin(2π/5 * 3 + C) = 10

sin(2π/5 * 3 + C) = 1

To solve for C, we need to find the angle whose sine value is 1. This angle is π/2. So, 2π/5 * 3 + C = π/2.

2π/5 * 3 = π/2 - C

6π/5 = π/2 - C

C = π/2 - 6π/5

Now we have all the values to construct the sinusoidal function:

f(x) = 10 * sin(2π/5 * x + (π/2 - 6π/5)) + 31

Simplifying further:

f(x) = 10 * sin(2π/5 * x - 2π/10) + 31

f(x) = 10 * sin(2π/5 * x - π/5) + 31

Therefore, the sinusoidal function that satisfies the given attributes is f(x) = 10 * sin(2π/5 * x - π/5) + 31.

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Answer:

Line y = -x + 2 intersects line y = 3x + 1

Step-by-step explanation:

The solution to a system of equations is the point at which the two lines intersect.  To find this point, first equate the equations and solve for x:

\(\begin{aligned}y & = y\\-x + 2 & = 3x + 1\\-x+2+x & = 3x+1+x\\2 & = 4x + 1\\2-1 & =4x+1-1\\1 &=4x\\x & =\dfrac14\end{aligned}\)

Substitute the found value of x into one of the equations, and solve for y:

\(y=3\left(\dfrac14\right)+1=\dfrac74\)

Therefore, the solution to the system of equations (the point at which the two lines intersect) is:

\(\left(\dfrac14,\dfrac74\right)\)

So the description that best describes the solution to the system of equations is:

Line y = -x + 2 intersects line y = 3x + 1

Answer:

What did the teacher say to the vampire when he failed his math test?

Step-by-step explanation:

Answer:

\(T_{10} - T_7 = 112\)

Step-by-step explanation:

Given

\(T_9 = 63\)

Required

Find \(T_{10} - T_7\)

From the question, we have that:

Each sequence = 2 * Previous sequence + 1;

i.e.

\(T_n = 2 * T_{n - 1} + 1\)

Considering the 9th sequence;

\(T_9 = 2 * T_8 + 1\) ------ Equation 1

Considering the 8th sequence;

\(T_8 = 2 * T_7 + 1\)

Substitute \(2 * T_7 + 1\) for \(T_8\) in equation 1

\(T_9 = 2 * T_8 + 1\) becomes

\(T_9 = 2 * (2 * T_7 + 1) + 1\)

Open bracket

\(T_9 = 2 * 2 * T_7 + 2*1 + 1\)

\(T_9 = 4T_7 + 2 + 1\)

\(T_9 = 4T_7 + 3\)

Substitute 63 for \(T_9\)

\(63 = 4T_7 + 3\)

Subtract 3 from both sides

\(63 - 3 = 4T_3 + 3 - 3\)

\(60 = 4T_3\)

Divide both sides by 4

\(\frac{60}{4} = \frac{4T_3}{4}\)

\(15 = T_7\)

\(T_7 = 15\)

Considering \(T_{10}\)

\(T_1_0 = 2 * T_9 + 1\)

Substitute 63 for \(T_9\)

\(T_1_0 = 2 * 63 + 1\)

\(T_1_0 = 126 + 1\)

\(T_1_0 = 127\)

Calculating \(T_{10} - T_7\)

\(T_{10} - T_7 = 127 - 15\)

\(T_{10} - T_7 = 112\)

Hence, the 10th - 7th number is 112

Answer:

Three cups of oil will be needed

Step-by-step explanation:

Here, we are told that the recipe calls for a 3/4 of a cup of oil per serving

Thus for 2 2/3

What is needed will be 2 2/3 * 3/4

= 8/2 * 3/4 = 24/8 = 3

Answer:

Step-by-step explanation:

69

Therefore ,a result, the answer to the variable problem (B) is incorrect because, even though the adjusted R-square has a lower value .

A variable is a quality that may be measured and take on several values. A few examples of variables are height, age, salary, province of birth, school grades, and kind of dwelling.

Here,

Given : The adjusted r-squared number is always lower than the s n value The added variable always causes the modified r-squared value to fall.

If a new variable is included to the regression, the r-squared result cannot drop.

. When comparing several regression models, the adjusted r-squared is more helpful than the r-squared.

Therefore ,a result, the answer to the variable problem (B) is incorrect because, even though the adjusted R-square has a lower value than the R-square, it might not drop as you add more variables.

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The ratio of trees to flowering plants in Marsha’s backyard is shown on the ratio table.

30 numbers complete the ratio table to make an equivalent ratio.

When we compare two ratios, they are said to be equivalent. To determine if two or more ratios are comparable, they can be compared to one another.

Equivalent ratios are two ratios with the same value. By multiplying or dividing the two amounts by the same number, you may get the corresponding ratio. Finding comparable fractions follows the same procedure.

Here in this case,

for trees: 2: 12    [ 2 to 12, 6 times more ]

for plants: 5: 30  [ 5 to 30, it is also 6 times more]

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