A tunnel has a parabolic cross-section. It is 24m wide at the base. At a point 6m above the base, the width is 18m. Find the maximum height of the tunnel

When determining the sample size for a proportion for a given level of confidence and sampling error, the closer to 0.50 that p is estimated to be, the larger the sample size required. Therefore, the answer is (a) Larger.

The sample size required for estimating a proportion with a certain level of precision and confidence depends on several factors, including the estimated value of the proportion (p), the level of confidence desired, and the acceptable margin of error. When the estimated value of p is closer to 0.50, the sample size required to achieve a given level of precision and confidence is larger.

This is because when p is close to 0.50, the variance of the sampling distribution is highest, which means that more data is needed to estimate the true proportion with a given level of precision and confidence. In contrast, when p is closer to 0 or 1, the variance is lower and a smaller sample size may be sufficient.

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Answer:

-3x-5 x-4 I this work good luck

Answer:

-(3x-5) (x-4)

Step-by-step explanation:

-3x^2+17x-20

Factor -1 out of -3x^2

-(3x^2)+17x-20

Factor -1 out of 17x

-(3x^2)-(-17x)-20

Rewrite -20 as -1(20)

-(3x^2)-(-17x)-1(20)

Factor -1 out of -(3x^2)-(-17x)

-(3x^2-17x)-1(20)

Factor -1 out of -(3x^2-17x)-1(20)

-(3x^2-17x+20)

Factor.

-((3x-5)(x-4))

Final Anwser:

-(3x-5) (x-4)

Answer:

Sean can rub in one minute:

260 meters

Step-by-step explanation:

2600 meters ⇒ 10 minutes

A meters ⇒ 1 minute

A = 2600 meters * 1 minute / 10 minute

A = 260 meters

Answer:  The correct answer is Sean can run 260 meters in 1 minute

Step-by-step explanation:

What we know:

What we need to find out:

Divide the total meters by the total minutes to find out the meters per minute

2600 meters / 10 minutes = 260 meters per minute

Distance in 1 minute

Time * meters per minute = distance

1 * 260 = 260 meters in 1 minute

Answer:

21

Step-by-step explanation:

2(-3)^2-(-3)

2(9)+3

18+3= 21

Using the Fundamental Counting Theorem, it is found that she can choose 180 different meals.

It is a theorem that states that if there are n things, each with \(n_1, n_2, \cdots, n_n\) ways to be done, each thing independent of the other, the number of ways they can be done is:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

In this problem:

Then:

\(N = n_1n_2n_3 = 3(15)(4) = 180\)

She can choose 180 different meals.

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Answer:

10

Step-by-step explanation:

160-80/12-4= 80/8= 10

Answer:

  a) 1/64

  b) 1/4096

Step-by-step explanation:

As you can tell from the example, the exponent of 1/2 is the number of heads in a row.

a) p(6 heads in a row) = (1/2)^6 = 1/(2^6) = 1/64

b) p(12 heads in a row) = (1/2)^12 = 1/(2^12) = 1/4096

_____

Additional comment

The probability of a head is 1/2 because we generally are concerned with a "fair coin." That is defined as a coin in which each of the 2 possible outcomes has the same probability, 1/2. Similarly, a "fair number cube" has 6 faces, and the probability of each is defined to be the same as any other, 1/6. Loaded dice and unfair coins do sometimes show up in probability problems.

Answer:

11x will be the answer

Step-by-step explanation:

Mathematical literacy refers to a person's ability to understand and use mathematical concepts and skills to solve real-world problems in a variety of contexts. It involves the ability to reason quantitatively and use mathematical tools effectively.

Mathematical literacy is essential in various aspects of daily life. For instance, it is required to manage personal finances, make purchasing decisions, calculate taxes, and understand financial statements.

In the workplace, it is necessary to analyze data, make predictions, and optimize systems. In fields such as medicine, engineering, and science, mathematical literacy is essential to make accurate measurements, analyze experimental results, and model complex systems.

Thus, mathematical literacy is required in various social and political contexts to analyze statistical data, understand probabilities, and make informed decisions.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

What is Mathematical Literacy​?

Answer:

Equation- p-6= -14

Answer- p=-8

Step-by-step explanation:

The number of hours someone should study to expect a quiz score of 98 using the equation x = (y - b) / m, where y = 98, m = the slope of the line of best fit, and b = the y-intercept.

Number is a mathematical concept used to count, measure and label. It is used to quantify, identify and label items in the world around us. Numbers are used in many aspects of life, from counting and measuring to identifying objects. Numbers are also used in mathematics to solve equations and find solutions to problems. Numbers are also used in computing, coding and programming to create algorithms.

To determine the amount of time someone should study to expect a quiz score of 98, we must first consider the line of best fit which was plotted by Jacob's math teacher. The line of best fit is the line which best describes the relationship between the number of hours studied and the quiz score. The equation for the line of best fit is y = mx + b, where m is the slope of the line, and b is the y-intercept.

Using this equation, we can calculate the number of hours someone should study to expect a quiz score of 98. We know that y = 98, so if we solve for x, we can determine the number of hours someone should study. To do this, we can rearrange the equation to solve for x: x = (y - b) / m.

Plugging in the values y = 98, m = the slope of the line of best fit, and b = the y-intercept, we can calculate that someone should study x = (98 - b) / m hours to expect a quiz score of 98.

In conclusion, the amount of time someone should study to expect a quiz score of 98 depends on the line of best fit which was plotted by Jacob's math teacher. We can calculate the number of hours someone should study to expect a quiz score of 98 using the equation x = (y - b) / m, where y = 98, m = the slope of the line of best fit, and b = the y-intercept.

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68.18% is the right answer

El teorema del residuo corresponde al enunciado de que cuando un polinomio se divide por el término x-c, entonces queda un residuo.

Se puede definir como dividir un polinomio por un binomio, que tendrá un residuo. Es decir, es un método de cálculo de integrales de funciones analíticas en caminos cerrados.

Por tanto, a través del teorema del residuo es posible realizar los métodos de división amplia y división sintética.

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Answer:

it belongs to natural number (N)

Step-by-step explanation:

please give me brainlest

Step-by-step explanation:

-11x - 14 <= -32 - 5x

18 <= 6x

3 <= x

in other words

x >= 3

and so x is in [3, +oo)

the [ says that the element at the end of the interval is included, the ) says that ends of the interval is not included, as infinity is never a valid interval number or limit.

and there is no indication that this is restricted to natural numbers (as the other answer tries to say - it is simply wrong).

In binary notation, the number "10000" represents the value of 16 in ordinary (decimal) numbers. Binary notation is a numbering system that uses only two digits, 0 and 1, to represent all numbers.

Each digit in a binary number represents a power of two, with the rightmost digit representing 2^0, the second-rightmost digit representing 2^1, and so on. In the number "10000", the leftmost digit represents 2^4, or 16, while all other digits are 0.

Therefore, the binary number "10000" is equal to the decimal number 16. It is important to note that binary notation is commonly used in computer programming and digital electronics, while ordinary (decimal) numbers are used in everyday life and most other fields of study.

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Answer:

X=5

Step-by-step explanation:

Answer:

60°

Step-by-step explanation:

<EAD is 180° as a whole

All that is needed is to subtract 100° and 20° from 180°

now you are left with x° which is 60° left over from the 180°

Correct, the primary focus of billers and coders is on Parts A and B of Medicare as these are the parts that cover hospital and medical insurance.

Parts C and D are not usually involved with billers and coders, as they involve providing medical insurance coverage for beneficiaries. Part C, also known as Medicare Advantage, is a type of private health insurance plan that is offered by a Medicare-approved private insurance company. Part D is the prescription drug coverage part of Medicare. While billers and coders may have some knowledge about Parts C and D, their main focus is on billing and coding for the services covered under Parts A and B.

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Answer:

\(y=\frac{9}{4}x-\frac{55}{4}\)

Step-by-step explanation:

Slope-intercept form: y = mx + b

Slope formula: \(\frac{y2-y1}{x2-x1}\)

Given points: (3, -7), (7, 2)

(3, -7) = (x1, y1)

(7, 2) = (x2, y2)

To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.

First, let's find the slope. To do this, input the given points into the slope formula:

\(\frac{2-(-7)}{7-3}\)

Simplify:

2 - (-7) = 2 + 7 = 9

7 - 3 = 4

\(\frac{9}{4}\)

The slope is \(\frac{9}{4}\).

To find the y-intercept, input the slope and one of the given points(in this example I'll use point (7, 2)) into the equation and solve for b:

\(2=\frac{9}{4}(7)+b\)

\(2=\frac{63}{4}+b\)

\(-\frac{55}{4} =b\)

The y-intercept is \(-\frac{55}{4}\).

Now that we know the slope and the y-intercept, we can write the equation:

\(y=\frac{9}{4}x-\frac{55}{4}\)

Answer:

number of protons

Step-by-step explanation:

The identity of an element is determined by the number of protons. One cannot alter the number of protons without altering the identity of the element. By adding a proton, the atomic number increases by one and the element identity changes. Number of neutrons can be altered to create isotopes.

Answer: The given vector can be expressed as a linear combination of u, v, and w as (14, 9, 14) = u - v + 3w.

Question: Express the following as a linear combination of u =(3, 1,6), v = (1.-1.4) and w=(8,3,8). (14, 9, 14) = ____ u- _____ v+ _____

Current Progress: To express the given vector as a linear combination of u, v, and w, we need to find scalars a, b, and c such that (14, 9, 14) = a*u + b*v + c*w.

Step 1: Write the equation in component form:
(14, 9, 14) = (3a + b + 8c, a - b + 3c, 6a + 4b + 8c)

Step 2: Equate the corresponding components and solve for a, b, and c:
3a + b + 8c = 14
a - b + 3c = 9
6a + 4b + 8c = 14

Step 3: Solve the system of equations using any method (substitution, elimination, etc.). One possible solution is a = 1, b = -1, and c = 3.

Step 4: Plug the values of a, b, and c back into the linear combination equation:
(14, 9, 14) = 1*u + (-1)*v + 3*w

Step 5: Simplify the equation:
(14, 9, 14) = u - v + 3w

Answer: The given vector can be expressed as a linear combination of u, v, and w as (14, 9, 14) = u - v + 3w.

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Answer:

5

Step-by-step explanation:

If there are 450 grams of element and half life is 8 minutes, then it will take 28.83 minutes the element to decay to 37 grams

Half life of radio active element = 8 minutes

Initial quantity of radio active element = 450 gram

Final quantity of radio active element = 37 grams

y = a(0.5)^(t/h)

Substitute the values in the equation

37 = 450 (0.5)^(t/8)

Move 37 to left hand side of the equation

37 / 450 = 0.5^(t/8)

Convert the terms to logarithm

t/8 = \(log_{0.5}\frac{37}{450}\)

t/8 = 3.60

t = 8 × 3.60

Multiply the numbers

t = 28.83 minutes
Therefore, the it will take 28.83 minutes to decay to 37 grams

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Answer:

10

Step-by-step explanation:

200-65= 135

135/13.5=10

You are 18 years old this year.

Let's call your age this year "x". Next year, your age will be "x + 1".

We know that the sum of the digits of "x" is three times bigger than the sum of the digits of "x + 1". Let's call the sum of the digits of "x" "s1", and the sum of the digits of "x + 1" "s2".

So we have the equation:

s1 = 3 * s2

If we add the digits of "x + 1", we get "s2 = a + b", where "a" and "b" are the digits of "x + 1".

Expanding the equation and substituting "s2":

s1 = 3 * (a + b)

Expanding the left side of the equation:

s1 = 3a + 3b

So the sum of the digits of "x" is three times the sum of the digits of "x + 1".

Now we need to find the values of "x" for which "s1" is three times bigger than "s2".

One possible solution is "x = 18", because:

So the answer is that you are 18 years old this year.

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You are 18 years old this year.

Let's call your age this year "x". Next year, your age will be "x + 1".

We know that the sum of the digits of "x" is three times bigger than the sum of the digits of "x + 1". Let's call the sum of the digits of "x" "s1", and the sum of the digits of "x + 1" "s2".

So we have the equation:

s1 = 3 * s2

If we add the digits of "x + 1", we get "s2 = a + b", where "a" and "b" are the digits of "x + 1".

Expanding the equation and substituting "s2":

s1 = 3 * (a + b)

Expanding the left side of the equation:

s1 = 3a + 3b

So the sum of the digits of "x" is three times the sum of the digits of "x + 1".

Now we need to find the values of "x" for which "s1" is three times bigger than "s2".

One possible solution is "x = 18", because:

"s1" = 1 + 8 = 9

"s2" = 1 + 9 = 10

9 = 3 * 10

So the answer is that you are 18 years old this year.

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Answer:

x = 20

Step-by-step explanation:

\(\frac{10}{x}\) = \(\frac{x}{40}\)

We cross-multiply and get

400 = \(x^{2}\)

\(\sqrt{400}\) = \(\sqrt{x^{2} }\)

x = 20

So, the answer is x = 20

Therefore, the probability of finding a sample mean of 109 or higher by chance is 1%.

We can use the central limit theorem to approximate the sampling distribution of the sample mean. The sampling distribution will also be normal with a mean of 100 and a standard deviation of (14 / sqrt(32)) ≈ 2.48.

To find the probability of finding a sample mean of 109 or higher by chance, we can standardize the sample mean:

z = (x - μ) / (σ / sqrt(n))

z = (109 - 100) / (14 / sqrt(32))

z = 2.33

Using a standard normal distribution table or calculator, we can find that the probability of a z-score of 2.33 or higher is approximately 0.01 or 1%.

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The number of seconds it takes for such an object to fall to the

ground from a height of 800 feet is 50 seconds

According to the question,

When an object (with negligible wind resistance) is dropped, its height, h, in feet at a certain time is given by the model

h = - 16t+s

where s is the height from which the object was dropped

t is the number of seconds it has fallen

We have to find the number of second it takes to reach ground when fall from height 800 feet

given,

s = 800

h = 0 (ground height = 0)

using the model h = - 16t+s

0 = -16t + 800

800 = 16t

t = 800/16

t = 50 seconds

Hence, the object will take 50 seconds to reach ground when drop from 800 feet

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