The science club is going to the space museum. The club consists of 27 students.

Answer:

x = 9.9   (or √98) (or 98¹/²)

y = 7

Step-by-step explanation:

triangle is equilateral right triangle, y = 7

x² = 7² + 7² = 98

x = 9.9   (or √98) (or 98¹/²)

a. To find the percentage of runners who took 36.915 minutes or less to complete the race, we can use the cumulative probability function of the normal distribution.

b. The cutoff time for the fastest 59.87% of runners can be determined by finding the corresponding value in the inverse normal distribution.

c. To calculate the percentage of runners who took more than 20.9775 minutes to complete the race, we need to subtract the cumulative probability from 100%.

a. To find the percentage of runners who took 36.915 minutes or less to complete the race, we can calculate the cumulative probability using the normal distribution. We can standardize the time value by subtracting the mean and dividing by the standard deviation. Then, we can look up the cumulative probability associated with this standardized value using a standard normal table or a statistical calculator.

b. The cutoff time for the fastest 59.87% of runners can be determined using the inverse normal distribution. We need to find the value in the distribution that corresponds to a cumulative probability of 59.87%. This can be done by using an inverse normal table or a statistical calculator.

c. To calculate the percentage of runners who took more than 20.9775 minutes to complete the race, we need to subtract the cumulative probability of 20.9775 minutes from 1 (or 100%). The cumulative probability represents the percentage of runners who completed the race within a certain time, so subtracting it from 100% gives us the percentage of runners who took more than that time.

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In September 2021, the approximate number of citizens incarcerated in jails and prisons is around 2.3 million.

It is important to note that this figure can vary over time due to changes in policies, criminal justice reforms, and other factors. The incarcerated population includes individuals who have been convicted of crimes and are serving their sentences, as well as those who are awaiting trial or have been sentenced but not yet transferred to a correctional facility.

These numbers can vary between different countries and jurisdictions. To obtain the most accurate and up-to-date information on current incarceration rates, it is advisable to refer to official sources such as the U.S. Bureau of Justice Statistics or relevant governmental organizations in your country.

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Answer:

\(x\leq 76\)

Step-by-step explanation:

Let x = unknown number

⇒ \(\frac{8}{9}*(x-4)\leq 64\)

⇒ \(\frac{8(x-4)}{9} \leq 64\)

Multiply both sides by 9:

⇒ \(8(x-4)\leq 576\)

Expand brackets:

⇒ \(8x-32\leq 576\)

Add 32 to both sides:

⇒ \(8x\leq 608\)

Divide both sides by 8:

⇒ \(x\leq 76\)

For the equation 3x-2 = 2x+8, we can solve for x to find where the function is not defined:
3x-2 = 2x+8
x = 10
Therefore, the function is not defined at x=10.

The domain of this function in set notation is: {x | x ≠ 10}

For the function g(x) = x^2, there are no x values for which the function is not defined. This is because we can square any real number and get a real number output.

The domain of this function in set notation is: {x | x ∈ ℝ} (meaning x can be any real number)
For the given functions:

a) 3x - 2 = 2x + 8
Since this is a linear equation, it is defined for all x values. Therefore, there are no x values for which the function is not defined. The domain in set notation is:
Domain = (-∞, +∞) or {x | x ∈ ℝ}

b) g(x) = x^2
This is a quadratic function, which is also defined for all x values. There are no x values for which the function is not defined. The domain in set notation is:
Domain = (-∞, +∞) or {x | x ∈ ℝ}

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Answer:

99*10^(-3)

Step-by-step explanation:

When you get a decimal you always have to have a negative when with powers of 10 and 99 is like the decimal 99.0 and if you move the decimal over 3 times you get 0.099

Each person will pay $49.056. The value must be divided by the entire value, and the resulting number must then be multiplied by 100 to get the percentage.

A percentage, often known as percent, is a division by 100. Percentage, which meaning "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is. Both manual calculation and the use of internet calculators are options.

Amount of bill = $124.72

and tip they left = 18% of $124.72

total amount is =$124.72 + $124.72*18%=$147.1696

so, each person pay= $147.1696/3=$49.056

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Answer:

7

Step-by-step explanation:

because the answer to the question is 7

Answer:

7 x=7

Step-by-step explanation:

x=7 ●●●●>>>>>9×[×[$(skkasooskw

Answer:

1. 9

2. -3

Step-by-step explanation:

The correct answer is the numbers are statistics because the numbers were calculated from a sample of city University of New York students and are estimates.

The study of statistics focuses on gathering, organising, analysing, interpreting, and presenting data. It is customary to initiate with a statistical population or a statistical model to be researched when applying statistics to a scientific, industrial, or social problem.

Populations which can refer to a variety of groupings of individuals or things, such as "every individual living in a nation" or "each atom making up a crystal."

Every facet of data which includes the planning of data collecting in terms of the layout of surveys and experiments, is covered by statistics.

When census data cannot be gathered, statisticians devise specialised experiment designs and survey samples to get data. A representative sample ensures that generalisations and inferences from the sample to the entire population are reasonable.

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A sequence of payments is made annually in advance over a period of ten years, such that the payments made in the first year are of amount M100, payments made in the second year are of amount M200, payments made in the third year are of amount M300, and so on until the tenth year in which each payment is of amount M1,000.

The present value of these payments can be calculated as follows:

Let P be the present value of the payments made over 10 years. Then, according to the compound interest formula, the present value of each payment made in the first year can be given by:

PV of M100

\(= M100/(1 + 0.08)¹\)

\(= M92.59\)

Similarly, the present value of each payment made in the second year can be given by:

PV of M200

\(= M200/(1 + 0.08)²\)

\(= M165.29\)

Similarly, the present value of each payment made in the third year can be given by:

PV of M300

\(= M300/(1 + 0.08)³\)

\(= M231.23\)

Similarly, the present value of each payment made in the tenth year can be given by:

\(PV of M1000 = M1000/(1 + 0.08)¹⁰ = M923.41\)

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a) The decimal number 348 is equivalent to 101011100 in the binary system.

b) The decimal number 348 is equivalent to 534 in the octal system.

c) The decimal number 348 is equivalent to 15C in the hexadecimal system.

a) To convert decimal to binary, we repeatedly divide the decimal number by 2 and note down the remainder. The binary equivalent is obtained by arranging the remainders in reverse order. In this case, dividing 348 by 2 gives a remainder of 0. Dividing the quotient (174) by 2 gives a remainder of 0 again. Continuing this process, we get the binary equivalent as 101011100.

b) To convert decimal to octal, we repeatedly divide the decimal number by 8 and note down the remainder. The octal equivalent is obtained by arranging the remainders in reverse order. In this case, dividing 348 by 8 gives a quotient of 43 and a remainder of 4. Dividing the quotient (43) by 8 gives a quotient of 5 and a remainder of 3. Finally, dividing 5 by 8 gives a quotient of 0 and a remainder of 5. The octal equivalent is 534.

c) To convert decimal to hexadecimal, we repeatedly divide the decimal number by 16 and note down the remainder. The hexadecimal equivalent is obtained by replacing remainders greater than 9 with the corresponding letters A to F. In this case, dividing 348 by 16 gives a quotient of 21 and a remainder of 12, which is represented as C. Dividing the quotient (21) by 16 gives a quotient of 1 and a remainder of 5. Finally, dividing 1 by 16 gives a quotient of 0 and a remainder of 1. The hexadecimal equivalent is 15C.

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The trinomial represented by the algebraic tiles is x^2  + 4x + 3

On the horizontal axis, we have:

1 row under the big square.

This represents x + 1

On the vertical axis, we have:

3 columns beside the big square.

This represents x + 3

So, we have:

(x + 1) * (x + 3)

Expand

(x + 1) * (x + 3) = x^2  + x + 3x + 3

Evaluate

(x + 1) * (x + 3) = x^2  + 4x + 3

Hence, the trinomial represented by the algebraic tiles is x^2  + 4x + 3

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Answer:

Try drawing whatever makes you feel satisfaction or happiness. There is inspiration all around you. :)

LIST ON WHAT TO DRAW

just draw something colourful

draw something you that you like or admire

or if my options aren't helpful just look for something at the internet

draw anything that you might be in your mind

HOPE IT HELPS

Answer:

=

64 / 7x -2

Step-by-step explanation:

You multiply 16 and 4/7 than you take away 2 I think im bad at this-

The area of the trapezoid is approximately 2234.375 square units.

To find the area of a trapezoid, we can use the formula:

\(Area = (sum of the bases) * (height) / 2\)

Given that the lengths of the bases are 50 and 75, we can substitute these values into the formula:

\(Area = (50 + 75) * (height) / 2\)

Next, let's find the height of the trapezoid using the diagonals. The diagonals of a trapezoid divide it into four triangles. We can use the Pythagorean theorem to find the height of one of these triangles.

In one of the triangles, the base is 50, the diagonal is 35, and the height is unknown. We can use the Pythagorean theorem:

\(50^2 = 35^2 + height^2\)
Simplifying the equation:

\(2500 = 1225 + height^2\)

Subtracting 1225 from both sides:

\(height^2 = 1275\)

Taking the square root of both sides:

\(height ≈ √1275 ≈ 35.71\)

Now that we have the height, we can substitute it back into the formula:

\(Area = (50 + 75) * 35.71 / 2\)

Calculating:

\(Area ≈ 125 * 35.71 / 2Area ≈ 2234.375\)

Therefore, the area of the trapezoid is approximately 2234.375 square units.

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Answer:

I think the answer is E

Step-by-step explanation:

Answer:

900 people

Step-by-step explanation:

540 / 60 = 9

10% = 9

9 x 100 = 900 people

Hope that helps!

During the Depth-First Search, the maximum number of nodes stored in the frontier at any provided point will be 4.

In a Depth-First Search (DFS), the maximum length of the frontier refers to the maximum number of nodes stored in the search frontier (also known as the stack) at any provided point during the search process.

In the provided state space, the node with the initial state has 4 successors, and each of those successors has 3 successors.

Since this is the entire state space, we can determine the maximum length of the frontier during a DFS by considering the longest path from the initial state to the solution state.

In this case, the longest path can be found by always choosing the last successor at each level until reaching the solution state.

Therefore, the maximum length of the frontier during a DFS in this state space will be equal to the depth of the longest path.

Based on the provided information, the longest path consists of 4 levels (initial state -> 4 successors -> 3 successors -> 3 successors -> solution state).

Therefore, the maximum length of the frontier during a DFS in this state space is 4.

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The maximum compression of the spring will depend on the spring's elasticity, or its ability to return to its original length after being stretched or compressed which is 2cm

If the same puck hits the spring at a speed of 2v, the spring will compress twice as much as it did when the puck was traveling at v. Thus, the spring's maximum compression will be 2 cm or twice its original compression of 1 cm.

It is important to note that the spring's elasticity will affect the maximum compression. If the spring is relatively stiff and has a low elasticity, it will not compress as far as a spring with a higher elasticity.

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The complete question should be: A hockey puck sliding along frictionless ice with speed v to the right collides with a horizontal spring and compresses it by 1.0 cm before coming to a momentary stop. What will be the spring's maximum compression if the same puck hits it at a speed of 2v?

The rate of change of the acute angle made by the ladder with the ground is -.021

According to the question,

Given: length of ladder(L)=30ft

Sliding down the wall at the rate of \($=\frac{d y}{d t}=\frac{-1}{2} \mathrm{ft} / \mathrm{sec}$$\)

To find: Rate of change of the acute angle made by the ladder when upper end is 18 ft above the ground.

Acute angle measure less than 90 degrees. right angle measures 90 degrees. obtuse angle measures more than 90 degrees

Now, we know that

\($$\sin \theta=\frac{y}{30}$$\)

let the time be (t) at general height (h) and at angle(θ)

\($$\begin{aligned}& \Rightarrow \quad \frac{d y}{d t}=-\frac{1}{2} \mathrm{ft} / \mathrm{sec} \\& \Rightarrow \quad \sin \theta=\frac{y}{30}\end{aligned}$$\)

Differentiate above equation

\($$\begin{aligned}\Rightarrow & (\cos \theta)\left(\frac{d \theta}{d t}\right)=\left(\frac{1}{30}\right)\left(\frac{d y}{d t}\right) \\& \text { Substitute } \frac{d y}{d t}=-\frac{1}{2} \mathrm{ft} / \mathrm{sec} . \\\Rightarrow & \frac{d \theta}{d t}=\left(\frac{1}{30}\right)\left(-\frac{1}{2}\right)\left(\frac{1}{\cos \theta}\right)\end{aligned}$$\)

\($$\Rightarrow \frac{d \theta}{d t}=\left(\frac{-1}{60}\right)\left(\frac{1}{\cos \theta}\right)$$\\\)

So, when h=18, from (1)

\($$\begin{aligned}& \Rightarrow \quad \sin \theta=\frac{18}{30} \\& \Rightarrow \sin \theta=\frac{3}{5}\end{aligned}$$\)

As we know that,

\($$\begin{aligned}& \sin ^2 \theta+\cos ^2 \theta=1 \\& =\cos \theta=\sqrt{1-\sin ^2 \theta} \\& =\cos \theta=\sqrt{1-\left(\frac{3}{5}\right)^2} \\& \Rightarrow \cos \theta=\frac{\sqrt{25-9}}{5} \\& \Rightarrow \cos \theta=\frac{4}{5}\end{aligned}$$\)

let the time be (t) at general height (h) and at angle(θ)

2) Substitute \($\left(\cos \theta=\frac{4}{5}\right)$\) from (4) eqn in.

(3) equ,

Then, \($\quad \frac{d \theta}{d t}=\left(-\frac{1}{60}\right)\left(\frac{5}{4}\right) \mathrm{rad} / \mathrm{sec}$\)

\($\frac{d \theta}{d t}=\frac{-1}{48} \mathrm{rad} / \mathrm{sec}$\)

Therefore, the rate of change of the acute angle made by the ladder with the ground is \($\frac{d \theta}{d t}=\frac{-1}{48} \mathrm{rad} / \mathrm{sec}$\).

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A random number generated from this density using the given us value of 0.127 is approximately 1.068.

To generate a random number from this density using the given us value, we first need to calculate the cumulative distribution function (CDF):

F(x) = ∫(0 to x) f(t) dt
    = ∫(0 to x) (2/9)t dt
    = (1/9) x^2

Next, we set the CDF equal to the given us value and solve for x:

us = F(x) = (1/9) x^2
0.127 = (1/9) x^2
x^2 = 1.139
x = sqrt(1.139) ≈ 1.068

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Answer:

No esta bien escrito

Step-by-step explanation:

Given that:

The tables values which represents Age and Admission Price is

   Age           Admission Price

under 5                free

  5–17                   $25

18–64                   $40

65 and over          $35

To find:

Domain and range of the function.

Solution:

Domain is the set of input values.

Here, domain is age because age is an independent variable.

Age cannot be negative, so

\(Domain:\{Age\geq 0\}=[0,\infity)\)

Therefore, the domain is all number greater than or equal to 0.

Range is the set of input values.

Here, range is Admission Price because Admission Price is a dependent variable.

Admission Prices are free (i.e., 0), $25, $40 and $35. So

\(Range:\{0,25,35,40\}\)

Therefore, range is {0,25,35,40}.

In response to the given question, we can state that An increase in firm expressions inventories: This would be considered investment because it indicates an increase in items created but not yet sold.

In mathematics, you can multiply, divide, add, or subtract. An expression is formed as follows: Expression, number, and math operator Numbers, parameters, and functions make up a mathematical expression. It is possible to contrast phrases and expressions. Every mathematical statement that comprises variables, numbers, and a mathematical action between them is referred to as an expression. For example, the phrase 4m + 5 is made up of the phrases 4m and 5, as well as the variable m from the provided equation, all separated by the mathematical symbol +.  

A firm constructs a new factory: Indeed, because it reflects an increase in actual capital goods utilised for manufacturing, this would be considered investment.

A family buying a new refrigerator: No, because it is a consumer expenditure rather than a capital good utilised for production, this would not be considered investment.

Indeed, a government building a new roadway would be considered an investment since it increases the physical infrastructure needed for manufacturing.

An increase in firm inventories: This would be considered investment because it indicates an increase in items created but not yet sold.

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The mean is 172, the variance is 34.4, and the standard deviation is 5.86.

The United States has a system of bicameralism, which means that each state has two chambers in its legislature: a lower chamber (such as the Assembly or House of Representatives) and an upper chamber (such as the Senate).

The number of constituents per district in each chamber varies from state to state, and it is usually determined by the state's constitution or by a state redistricting commission.

As of the 2010 census, Texas had about 811,147 constituents per state senate district.

However, this is not the highest number of constituents per senator among all the states.

In fact, the state with the highest number of constituents per senator is California.

According to the U.S. Census Bureau, as of the 2010 census, California had a population of approximately 37.3 million people.

The state's constitution provides for 40 state senators, which means that each senator represents approximately 933,000 constituents.

This is significantly higher than the number of constituents per senator in Texas.

The high number of constituents per senator in California can be attributed to the state's large population and the fact that the number of state senators has not kept up with population growth.

The last time the number of state senators in California was increased was in 1973, when the state's population was around 20 million people.

In conclusion, while Texas has a high number of constituents per state senate district, it is not the only state with a high number of constituents per senator.

California has a significantly higher number of constituents per senator, due to its large population and the fact that the number of state senators has not kept up with population growth.

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Answer:

Regular Checking account

Step-by-step explanation:

You can only make 3 withdrawals from money markets per month. You can’t withdraw money from cds without penalty.

The ellipses centered at the origin that runs through the points (1, 2), (2, 2), and (3, 1) is mathematically given as

-0.3523x^2 0.5284xy 15.9268y^2 = 1.

Generally, the equation for three points is mathematically given as

a+2b+4c=1.....1  for the variable (1, 2)

4a+4b+4c=1.....2  for the variable (2, 2)

9a+3b+c=1.....3  for the variable (3, 1)

Step 1

Here we solve equations 1 and 2 simultaneously to find the value of b

Therefore

equ 2-equ1

3a+2b=0

b=-1.5a....4

Step 2

We solve equations 1 and 3 simultaneously to find the value of c

Where

9*equ1-equ3 gives

-15b-35c=-8

c=8-15b

subbing equ 4 we have

c=8+22.5a ....5

Step 3

Put values of b and c in equation 2, and we have

4a-6a+32+90a=1

a=-31/88

a=-0.3523

The value of b will be

b=-1.5*a

b=0.5284

The value of b will be

c=8-22.5*a

c=15.9268

Step 4

In conclusion, the equation is given as

By substituting the values of a b and c into the general formula we have

-0.3523x^2 0.5284xy 15.9268y^2 = 1.

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Answer:

714

Step-by-step explanation:

So lets go over what we know.

The bus only goes for 6 hours each day.

So lets just think of a full day as 6 hours.

Each day(6 hours), 4284 passangers ride the bus.

To find passangers per hour, we must divide the total passangers by the total hours.

This is 4284(total passangers) divided by 6(total hours):

4284/6

=

714

So each hour, there are 714 passangers.

Hope this helps!