From a batch of 13 students who had appeared in an examination, 4 students
were failed. The marks of passed students were 43, 57, 45, 61, 75, 64,53,50 and
40. Calculate median marks of all students.​

Answer:

2520

Step-by-step explanation:

There are 7 letters in MCHNLRN and they can be arranged into 7 ways:

7! = 5040 ways in total

However, the letter 'N' is repeated so we have to divide it by 2.

5040 ÷ 2 = 2520 ways

Answer:

2,520 ways

Step-by-step explanation:

MCHNLRN has 7 letters with one repetition.

therefore, =7!/2!

=2,520 ways

Answer:

8

Step-by-step explanation:

1 : 2

= 1 +2

= 3

action movie

1 ÷ 3 × 24 = 8

other movie

2 ÷ 3 × 24 = 16

If 1 action movie is to 2 other films it means on the 24 screens will be 8 action movies to 16 other films.

Answer:

Step-by-step explanation:

Find the radius and height. ...

Convert inches to yards, convert feet to yards, or convert meters to yards.

Multiply the radius of the cylinder times the radius, e.g. r2

Multiply times π to get the area of the circle.

Multiply times the height of the cylinder to get the volume.

The number of yards, as a mixed number, will you drive until you reach this exit is 333 1/3 yards

The complete question is added as an attachment

From the attached figure, we have:

Exit = 1000 feet

From the question, we have

3 feet = 1 yard

So, the number of yards is

Number of yard =Exit/3 yards

This gives

Number of yard = 1000/3 yards

Evaluate the quotient

Number of yard = 333 1/3 yards

Hence, the number of yards, as a mixed number, will you drive until you reach this exit is 333 1/3 yards

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The image that results from the dilation transformation is as shown in the attached file with coordinates as:

G'(0, -8)

H'(8, 0)

I'(-8, 4)

A dilation is defined as a transformation that produces an image that is the same shape as the original, but is a different size.

The coordinates of the given triangle are:

G(0, -2)

H(2, 0)

I(-2, 1)

Now, when an object with coordinates is dilated by a factor about the origin, what we will do is to multiply each coordinate by that factor . The factor of dilation is 4 and as such we have:

G(0, -2) * 4 = G'(0, -8)

H(2, 0) * 4 = H'(8, 0)

I(-2, 1) * 4 = I'(-8, 4)

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Answer:

A and B

Step-by-step explanation:

Total sample 30

less than 3 children : 24 So A

4 or more children : 2 So B

C : wrong some households have no child ( not in our sample)

D : wrong There are some households have 5 child ( not in our sample)

Answer:

c. x = ± 7

Step-by-step explanation:

2x^2 = 98

x^2 = 98 / 2

x^2 = 49

x^2 = ± 7

Answer:

c

Step-by-step explanation:

x2= 98/2

=49

x2=49

x= +_7

Step-by-step explanation:

\(x = 3 + t\)

\(y = - t {}^{2} \)

\(x - 3 = t\)

\(y = - (x - 3) {}^{2} \)

This is the answer or

\(y = - {x}^{2} +6x - 9\)

They are both parabola with a vertex at 3,0 , facing downwards.

The probability that among the first two songs played, exactly 1 of the 4 songs you like is played is 0.452 or 45.2%.

Probability is a measure of the likelihood of an event occurring. It is a numerical value between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

There are 4 songs that you like out of the 14 total songs, so the probability of selecting a song that you like on the first draw is 4/14.

On the second draw, the probability of selecting a song that you like is 3/13, since there are now 3 songs that you like out of the remaining 13 songs.

The probability of selecting exactly 1 of the 4 songs you like in the first two draws is given by:

P(exactly 1 like in first two draws) = (4/14) ×(10/13) + (10/14) × (4/13) = 0.452

Therefore, the probability that among the first two songs played, exactly 1 of the 4 songs you like is played is approximately 0.452 or 45.2%.

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The solutions for the quadratic equation:

x^2 - 8x = -3

Are:

Here we want to solve the quadratic equation:

x^2 - 8x = -3

First we can move all the terms to the left side so we get:

x^2 - 8x + 3 = 0

Using the quadratic formula (or Bhaskara's formula) we can get the solutions for x as:

\(x = \frac{8 \pm \sqrt{(-8)^2 - 4*¨1*3} }{2*1} \\\\x = \frac{8 \pm 7.2 }{2}\)

Then the two solutions for the quadratic equation are:

x = (8 + 7.2)/2 = 7.6

x = (8 - 7.2)/2 =0.4

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The minimum amount of plastic wrap needed to completely wrap 8 containers is  794. 4 in². Option D

The area of each circular end is:

A = πr²

A = 3.14 × (2.75)²

A = 23.68in²

The area of the rectangular side is:

A = h * circumference

circumference = 5.5in * π

circumference = 17.27in

Using the given height of 3 inches, we get:

A = 3in * 17.27

A = 51.81in²

Therefore, the total surface area of each container is:

A = 2 * 23.68 + 51.81

A = 98.17in²

To wrap 8 containers, we need to multiply the surface area of each container by 8:

Total surface area = 8 × 98.17

Total surface area = 794. 4 in²

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Answer:

unlimited is the weight

Step-by-step explanation:

Weight : 58283624946946784640469267619046404.4691649469464846404694956596894

Answer:

224

Step-by-step explanation:

360.-136.

The evaluation of the statements with regards to the graph of a function are;

A function maps an input value to an output based on a definition or rule.

First part of the statement;

The graph of a non-vertical straight line has a range of values for the slope, m, of 0 ≤ m < ∞

The equation of a straight line function is of the form; y = m·x + c

Therefore;

The graph of a non-vertical straight line can be represented by the equation, y = m·x + c, where y has possible values of; -∞ < y < ∞, which indicates that as x increases or decreases, y increases (or decreases), such that each value of x maps unto only one value of y, which indicates that the graph is a function. The statement is therefore true.

Second part of the statement.

The graph of the quadratic function; y = a·x² + b·x + c has a shape of a parabola, therefore, the statement, the graph of a function is not always a straight line is true also.

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Answer:

6.2 meters

Step-by-step explanation:

1) area = l*w

74.4 = 12x

x=6.2

Answer:

Step-by-step explanation:

The value of n for the given condition "9.5 less than a number n equals 27" is, 36.5

In mathematics, subtraction is an operation which means taking away a few portions of the group or few things from a whole part.

For example, if we take 4 pencils out of 10 then remaining pencils are 6

so this process is called subtraction.

Given that,

A statement,

"9.5 less than a number n equals 27"

To solve for the value of "n",

we can start by subtracting 9.5 from both sides of the equation,

9.5 less than a number n = 27

So, it can be written as,

n - 9.5 = 27

n = 36.5

Hence, the value of "n" is 36.5.

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Answer:

B) SA = 984 cm²

Step-by-step explanation:

SA = (2 x 13 x 24) + (10 x 24) + (10 x 12) = 984 cm²

The present value (PV) of the investment today is approximately $2,965.05.

To find the present value (PV) of the investment today, we need to calculate the present value of each individual contribution and then sum them up. We can use the formula for the present value of an annuity to do this calculation.

The formula for the present value of an annuity is given by:

PV = C * [(1 - (1 + r)^(-n)) / r]

Where:

PV = Present Value

C = Cash flow per period

r = Interest rate per period

n = Number of periods

In this case, the cash flow per period (C) is $500, the interest rate per period (r) is 10.5% (or 0.105), and the number of periods (n) is 20 years.

Let's plug in these values into the formula and calculate the present value (PV):

PV = $500 * [(1 - (1 + 0.105)^(-20)) / 0.105]

Using a calculator, we can evaluate the expression inside the brackets:

PV = $500 * [(1 - 0.376889) / 0.105]

Simplifying further:

PV = $500 * [0.623111 / 0.105]

PV = $500 * 5.930105

PV = $2,965.05

Therefore, the present value (PV) of the investment today is approximately $2,965.05.

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Answer:

2^3 .3^2

Step-by-step explanation:

if 2×2×2 = 8

and 3×3=9 then 8×9=72

Answer:

2³ × 3²

Step-by-step explanation:

Repeatedly divide by 2 until finish, then divide by 3

72 ÷ 2 = 36

36 ÷ 2 = 18

18 ÷ 2 = 9 , then

9 ÷ 3 = 3

3 ÷ 3 = 1 ← finish when 1 is reached

Then

72 = 2 × 2 × 2 × 3 × 3 = 2³ × 3²

Therefore, the coordinates of point P are(-3+√(2), -5-√(2)).

A coordinate is a set of values that specifies the position of a point or an object in a geometric space. In two-dimensional Euclidean space (i.e., on a plane), the most common coordinate system is the Cartesian coordinate system, which consists of two axes, the x-axis and the y-axis, that intersect at a point called the origin. Any point in the plane can then be uniquely identified by its x-coordinate (its horizontal distance from the origin) and its y-coordinate (its vertical distance from the origin).

Here,

To find the coordinates of point P, we need to use the ratio given to divide the line segment AB into two parts.

Let's first find the coordinates of point A and B:

A = (-3, -5)

B = (1, -9)

The ratio given is 1:3, which means that AP:PB is also 1:3. Let's call the coordinates of point P (x, y).

We can use the midpoint formula to find the coordinates of the midpoint M of line segment AB:

M = ((-3+1)/2, (-5-9)/2) = (-1, -7)

Now, we can use the fact that AP:PB is 1:3 to set up the following equation:

AP/PB = 1/3

We can rewrite this as:

AP = (1/4) AB

where AB is the distance between A and B:

AB = √((1-(-3))²  + (-9-(-5))²)

= √(16+16)

=4√(2)

So, we have:

AP = (1/4) AB = (1/4) * 4√(2)

= √(2)

We also know that the vector AP is in the same direction as the vector AM, which goes from A to M:

AM = (-1-(-3), -7-(-5))

= (2, -2)

To find the vector AP, we can scale AM to have length sqrt(2):

AP = (√(2)/||AM||) AM

= (√(2)/2) (2, -2)

= (√(2), -√(2))

Finally, we can find the coordinates of point P by adding AP to the coordinates of A:

P = A + AP

= (-3, -5) + (√(2), -√(2))

= (-3+√(2), -5-√(2))

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Answer:

4.193

Step-by-step explanation:

you line up the decimals then subtract to get 4.193

The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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The value of y in the triangle is 2√10 units.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

The value of y can be found using the similar triangle ratios as follows:

Hence,

8 / y = y / 5

cross multiply

y² = 8 × 5

y²= 40

square root both sides of the equation

y = √40

Therefore,

y = 2√10 units

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The maximum area is 12.25 square feet

From the question, we have the following parameters that can be used in our computation:

Perimeter = 14 feet

This means that

P = 2(l + w)

So, we have

2(l + w) = 14

Divide by 2

l + w = 7

Make l the subject

l = 7 - w

The area is calculated as

A = lw

So, we have

A = (7 - w)w

Expand

A = 7w - w²

Differentiate and set to 0

7 - 2w = 0

So, we have

w = 3.5

Substitute w = 3.5 in A = (7 - w)w

A = (7 - 3.5) * 3.5

Evaluate

A = 12.25

Hence, the area is 12.25 square feet

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Complete question

There is 14 feet of fencing available to enclose a rectangular region. For what value of area is the area maximum

Answer:

D

Step-by-step explanation:

Yw UVU

Answer: Hello attached below is the well written complete question

answer:

T = 40 + 30e^-0.0288t

Step-by-step explanation:

To( outside temperature ) = 40°F

T  = ?

k( thermal conductivity ) = constant

A( area of heat transfer) = constant

Hence Differential equation for the temperature of the house

T = 40 + 30e^-0.0288t

Attached below is the detailed solution of the problem

Answer:

is part 1 and part 3 the same, no

Step-by-step explanation:

Answer:yes

Step-by-step explanation: