11 There are 136 people on a train.
34 of the people are children.
What percentage of the people on the train are adults?​

Answer:

65.5%

Step-by-step explanation:

Arrival rate, λ = average number of customers per hour = 38

Servive rate, μ = number of customers attended to per hour = 58

Utilization factor, ρ = λ / μ

ρ = 38 / 58

ρ = 0.6551724

Utilization rate (%) = 0.6551724 * 100% = 65.5%

Answer:

I'ts a parabola with vertex in \((0,-2)\) and crossing the x-axis in \((\mp\sqrt2; 0)\)

Depending on how accurate you want your graph to be you might want to put values in there to get more points and then then draw it. Result should be something like the one in picture.

Systematic random sampling is used when selecting every nth item from a list of items. In this example, every 49th student starting with the 3rd student is selected.

In systematic random sampling, a list of items is created and every nth item is selected for the sample. This technique is useful when selecting a representative sample from a large population of items. In the example given, 496 students were listed and every 49th student starting from the 3rd student was selected. This is a systematic random sampling technique because the items were selected in a systematic and random fashion. The selection of every 49th student starting from the 3rd student ensures that the sample is representative of the population while also randomizing it so that all students have an equal chance of being selected.

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The lengths of the other two sides of the right triangle are 24m and 25m, respectively.

Let's assume the consecutive integers representing the lengths of the other two sides of the right triangle are x and x + 1, where x is the smaller integer. We are given that the shortest side measures 7m. Now, we can use the Pythagorean theorem to solve for the lengths of the other two sides.

According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

Using this theorem, we have the equation:

\(7^2 + x^2 = (x + 1)^2\)

Expanding and simplifying this equation, we get:

\(49 + x^2 = x^2 + 2x + 1\)

Now, we can cancel out \(x^2\) from both sides of the equation:

49 = 2x + 1

Next, we can isolate 2x:

2x = 49 - 1

2x = 48

Dividing both sides by 2, we find:

x = 24

Therefore, the smaller integer representing the length of one side is 24, and the consecutive integer representing the length of the other side is 24 + 1 = 25.

Hence, the lengths of the other two sides of the right triangle are 24m and 25m, respectively.

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Step-by-step explanation:

bonjour quelqu'un peut-il se joindre à zo om Numéro d'identification 77974021488 le mot de passe 9taPHH

The correct expression which show the points Roopesh earns if two beanbags land on the board will be;

⇒ 2 × 2

or 2 + 2

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that,

In a bean bag toss game, players earn 2 points for each beanbag that lands on the game board and 5 points for each bean bag that lands in the hole.

Since, Roopesh dropped the bag on land for two times, and points for bag landing is 2.

Therefore, We get;

His score will be,

⇒ 2 × 2

or 2 + 2

Therefore, We get;

The correct expression which show the points Roopesh earns if two beanbags land on the board will be;

⇒ 2 × 2

or 2 + 2

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Answer:

if a water pipe bursts over night depends on the pressure of the water but i will say a foot or more an hour

Step-by-step explanation:

\(x^2 -8x-2=0\\\\x^2 -8x=2\\\\x^2 -8x+16=18\\\\(x-4)^2 =18\\\\x-4=\pm \sqrt{18}\\\\\boxed{x=4 \pm \sqrt{18}}\)

Answer:

  x = -2

Step-by-step explanation:

The function is decreasing where the first derivative is negative.

That is, the function is decreasing on the interval (-2, 5), except at x=2, where there is a flat spot. That means the maximum value is found at the left end of that interval, at x=-2.

__

The maximum value might be found at x = 6, at the right end of the interval (5, 6) on which the function is increasing. However, we judge the area under the first derivative curve between x=5 and x=6 to be less than the total area under the curve between x=-2 and x=5. That means the function does not increase enough from its minimum at x=5 to make up for the decrease over the longer interval.

__

The attachment shows an approximation of the derivative function given in the problem statement (dashed line) and its integral (solid line). Not all of the curvature of f'(x) is accounted for in the approximation, but the overall result is consistent with the above analysis.

Answer:

4 x \(10^{8}\)

Step-by-step explanation:

Round the number to

400,000,000

4 x \(10^{8}\)

We moved the decimal 8 places.

Answer:

4 x 10^8 (four times ten to the power of eight) is the best approximation of the number 399,867,231 written in scientific notation.

Step-by-step explanation:

Answer:

X^-2 x X^3  or C

Step-by-step explanation:

why because a negative and a positive when multiplied make a negative

\( \Huge \color{lime}{\boxed{{x}^{3} \times {x}^{3}}}\)

.....Step-by-step explanation.....

\( \large \underline \color {pink}{lets \: solve \:↬} \)

\(\large \pink {\sf{⇒ \: {x}^{ - 3} \times {x}^{ - 3} }} \\ \\ \large \red{ \tt{(by \: exponent \: rule \: of \: power \: are \: added)}} \\ \\ \pink {\sf{ ⇒ \: {x}^{ - 3 + ( - 3)} } } \\ \\ \large \pink { \sf{ ⇒ \: {x}^{ - 3 - 3} }} \\ \\ \large \pink { \sf{⇒ \: {x}^{ - 6} }} \\ \\ \)

\(\large\color {blue}{\boxed{\mathfrak{❥\:Velvet\:Pearl}}}\)

The vertex of point A' in the dilated triangle A'B'C' is (6, 4.5).

1. Start by calculating the distance between the vertices of the original triangle ABC:

  - Distance between A(4, 3) and B(3, -2):

    Δx = 3 - 4 = -1

    Δy = -2 - 3 = -5

    Distance = √((-\(1)^2\) + (-\(5)^2\)) = √26

  - Distance between B(3, -2) and C(-3, 1):

    Δx = -3 - 3 = -6

    Δy = 1 - (-2) = 3

    Distance = √((-6)² + 3²) = √45 = 3√5

  - Distance between C(-3, 1) and A(4, 3):

    Δx = 4 - (-3) = 7

    Δy = 3 - 1 = 2

    Distance = √(7² + 2²) = √53

2. Apply the scale factor of 1.5 to the distances calculated above:

  - Distance between A' and B' = 1.5 * √26

  - Distance between B' and C' = 1.5 * 3√5

  - Distance between C' and A' = 1.5 * √53

3. Determine the coordinates of A' by using the distance formula and the given coordinates of A(4, 3):

  - A' is located Δx units horizontally and Δy units vertically from A.

  - Δx = 1.5 * (-1) = -1.5

  - Δy = 1.5 * (-5) = -7.5

  - Coordinates of A':

    x-coordinate: 4 + (-1.5) = 2.5

    y-coordinate: 3 + (-7.5) = -4.5

4. Thus, the vertex of point A' in the dilated triangle A'B'C' is (2.5, -4.5).

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In the given problem, by setting up an inequality, the two possible amounts of change are 53p and 67p.

Let's call the cost of the pie "x". Since it is somewhere between £1.30 and £2.99 and is an exact number of pence after adding a 24% tip, we know that:

1.3 <= x <= 2.99 (in pounds)

100x*1.24 is an integer (in pence)

We can simplify the second condition by multiplying both sides by 100 and dividing by 124:

100x is a multiple of 100/124 = 25/31 (in pence)

So we know that x must be a multiple of 25/31 pence, and it must be between 130 and 299 pence. We can write this as:

130 <= 25n/31 <= 299

where n is an integer.

Multiplying both sides by 31 and dividing by 25, we get:

162.8 <= n <= 237.2

Since n must be an integer, the possible values for n are 163, 164, ..., 237.

For each possible value of n, we can calculate the cost of the pie, the total price with tip, and the amount of change we would receive if we paid with a £5 note. We can then check whether we receive exactly 5 coins as change.

For example, if n = 163, then:

100x = 25n = 4075

x = £40.75

total price with tip = £50.57

change = £5.00 - £50.57 = £0.43 = 43p

43p can be given as 20p + 20p + 2p + 1p, so we receive 4 coins in this case.

Similarly, we can check all the other possible values of n and find that there are two values of change that we could receive:

53p (25p + 20p + 5p + 2p + 1p)

67p (50p + 10p + 5p + 2p)

Therefore, the two possible amounts of change are 53p and 67p.

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Answer: a

Step-by-step explanation:

Winston's economic profit based on the forgone salary of $60,000, and the revenue of $150,000 is $78,000. The correct option is therefore;

$78,000

An economic profit is a profit that accounts for both the explicit and implicit costs of a business. The economic profit is obtained from the difference between the total revenue and the costs including the opportunity costs.

The annual salary of Winston as an accountant = $60,000

The amount Winston's financial asset generates = $4,000 per year

The cost of running the business = $8,000

The amount Winston earns as revenue = $150,000

Therefore;

Winston's opportunity cost which is the forgone alternative, is the amount he earns as an accountant = $60,000

The interest of $4,000, earned from the financial asset = The cost of using the financial asset for the business

The cost of running the business = $8,000

The total cost = Opportunity cost + Cost of making use of the financial asset + The business running cost

The total cost = $60,000 + $4,000 + $8,000 = $72,000

The economic profit = The total revenue - The total cost

Therefore;

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The area of the rhombus, obtained from the dimensions, of the diagonals, found from the trigonometric of sines of the angle can be presented as follows;

Area = 8·√3

The area of a plane figure is the two dimensional space occupied by the figure on a plane.

The measure of the angle ABC, m∠ABC = 60°

The length of the segment AE = 2 units

The diagonals of a rhombus bisect each other at right angles, and the right angles through which they pass, therefore;

BE = ED, m∠AEB = 90°

m∠ABE = 30°

sin(30°) = AE/AB

sin(30°) = 2/AB

AB = 2/(sin(30°)) = 4

AB = 4

BE = √(4² - 2²) = √(12) = 2·√3

Therefore; AC = 2 + 2 = 4

BD = 2·√3 + 2·√3 = 4·√3

The area of a rhombus = (1/2) × The product of the length of the diagonals

Therefore;

Area of the rhombus = (1/2) × (4·√3) × 4 = 8·√3

The area of the rhombus = 8·√3

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Nate has a deductible of $1,000, which means he is responsible for paying that amount out of pocket before his insurance coverage kicks in. The cost of repairing his car is $7,000, which exceeds his deductible.

However, Nate's collision coverage limit is $5,000, which is the maximum amount his insurance will cover for repairs.

Since the cost of repairs exceeds Nate's coverage limit, he will have to pay the difference between the coverage limit and the actual repair cost.

In this case, Nate's out-of-pocket expenses would be $7,000 (repair cost) - $5,000 (coverage limit) = $2,000.

Therefore, Nate will have to pay a total of $2,000 out of pocket for this claim, which includes his $1,000 deductible and the additional $1,000 that exceeds his coverage limit.

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TICKET MONEY for age 16 and over,

155-49 =106

1 person pays £18.60

106 = 106 × £18.60

=£1,971.6

TICKET MONEY for under 16

1 person pays £12.80

49 people =49 × £12.80

= £627.2

TOTAL NUMBER OF TICKETS

£ 1,971.6 + £6272.2

= £2,598.8

Answer:  

The top of the ladder is 12.69 feet away from the ground

Step-by-step explanation:

Length of the ladder is given to be 15 foot

Also, The base of the ladder is 8 feet away from the wall.

Now, The height of the ladder will be perpendicular to the surface of the ground

So, It will form a right angled triangle

Now, The base of the triangle will be 8 feet

Hypotenuse of the triangle will be 15 feet

And we need to find the perpendicular height of the triangle

By using Pythagoras theorem, We have

Hypotenuse² = Base² + Perpendicular²

⇒ 15² = 8² + Perpendicular²

⇒ Perpendicular = 12.69 feet

Therefore, The top of the ladder is 12.69 feet away from the ground

Or 12.70 from rounding to your nearest tenths

Help this helps and sorry for it being long

Answer:

y= -1/4x -4

Step-by-step explanation:

you subtract the 2x from one side and put on the other

-8y = -2x + 32

then divide-8 from both sides

which makes

y= -1/4 -4

The mowing takes hours hence, the best rate is hours per lawn. Hence the correct option is option 1. It can be solved by rate of work.

The rate lawns per employee gives the lawns mowed by one employee.

The rate hours per lawn gives the number of hours required to mow one lawn.

The rate employee per lawn gives how many employees are required to mow one lawn.

The rate lawns per day gives the number of lawn mow in one day.

Since the mowing takes hours hence, the best rate is hours per lawn. Hence the correct option is option 1.

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Answer:

-3<lxl<5

Step-by-step explanation:

take least number than use x in absolute value bars than take highest number sorry if this is wrong I'm just a kid

Answer:

The sample size required is 2500.

Step-by-step explanation:

z-score:

In function of the margin of error M, the z-score is given by:

\(Z = \frac{M}{\frac{\sigma}{\sqrt{n}}} = \frac{M\sqrt{n}}{\sigma}\)

In this question, we have that:

\(\sigma = 51.02, M = 2, Z = 1.96\)

So

\(Z = \frac{M\sqrt{n}}{\sigma}\)

\(1.96 = \frac{2\sqrt{n}}{51.02}\)

\(2\sqrt{n} = 51.02*1.96\)

\(\sqrt{n} = \frac{51.02*1.96}{2}\)

\((\sqrt{n})^2 = (\frac{51.02*1.96}{2})^2\)

\(n = 2500\)

The sample size required is 2500.

Answer:

4,500.00 rupees

Step-by-step explanation:

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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Answer:

\(\dfrac{5e^2}{2}\)

Step-by-step explanation:

Differentiation is an algebraic process that finds the slope of a curve. At a point, the slope of a curve is the same as the slope of the tangent line to the curve at that point. Therefore, to find the slope of the line tangent to the given function, differentiate the given function.

Given function:

\(y=x^2\ln(2x)\)

Differentiate the given function using the product rule.

\(\boxed{\begin{minipage}{5.5 cm}\underline{Product Rule for Differentiation}\\\\If $y=uv$ then:\\\\$\dfrac{\text{d}y}{\text{d}x}=u\dfrac{\text{d}v}{\text{d}x}+v\dfrac{\text{d}u}{\text{d}x}$\\\end{minipage}}\)

\(\textsf{Let\;$u=x^2}\)\(\textsf{Let\;$u=x^2$}\implies \dfrac{\text{d}u}{\text{d}x}=2x\)

\(\textsf{Let\;$v=\ln(2x)$}\implies \dfrac{\text{d}v}{\text{d}x}=\dfrac{2}{2x}=\dfrac{1}{x}\)

Input the values into the product rule to differentiate the function:

\(\begin{aligned}\dfrac{\text{d}y}{\text{d}x}&=u\dfrac{\text{d}v}{\text{d}x}+v\dfrac{\text{d}u}{\text{d}x}\\\\&=x^2 \cdot \dfrac{1}{x}+\ln(2x) \cdot 2x\\\\&=x+2x\ln(2x)\end{aligned}\)

To find the slope of the tangent line at x = e²/2, substitute x = e²/2 into the differentiated function:

\(\begin{aligned}x=\dfrac{e^2}{2}\implies \dfrac{\text{d}y}{\text{d}x}&=\dfrac{e^2}{2}+2\left(\dfrac{e^2}{2}\right)\ln\left(2 \cdot \dfrac{e^2}{2}\right)\\\\&=\dfrac{e^2}{2}+e^2\ln\left(e^2\right)\\\\&=\dfrac{e^2}{2}+2e^2\\\\&=\dfrac{5e^2}{2}\end{aligned}\)

Therefore, the slope of the line tangent to the graph of y = x²ln(2x) at the point where x = e²/2 is:

\(\boxed{\dfrac{5e^2}{2}}\)

Answer: 4.5

Step-by-step explanation:

2 cups of flour = 1 cup of water

9 cups of flour/2 cups of flours = 4.5

4.5 cups of water for 9 cups of flour

Answer:

She spend $280 a month when she goes out to eat 8 times a month.

She will save $105 a month if she cuts back to 5 times a month.

Step-by-step explanation:

35 x 8= 280

35 x 5  = 175

280 - 175 = 105

Answer:

8 * $35 per meal = $280

$280 - (5 * $35)

= $280 - ($175)

= $105

Step-by-step explanation: