i dont know how to do this can someone answer it and help me understand how to do this

The mean mark obtained by 5 girls is 38. Mark obtained by the new girl added is 62.

Let the mark obtained by the new girl be x.

Given, the mean mark obtained by 5 girls is 38.

So, the total marks obtained by the 5 girls = 5 * 38 = 190.

When the mark of the new girl is added, the mean mark increases to 40.

So, the total marks obtained by all the 6 girls = 6 * 40 = 240.

Therefore, the mark obtained by the new girl = Total marks obtained by all 6 girls - Total marks obtained by 5 girls

= 240 - 190

= 50.

Therefore, the mark obtained by the new girl added is 60.

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lim b → [infinity] (−b/10 e^−10b − 1/100 e^−10b + 1/10 e^−10 + 1/100 e^−10 = 11/100 e^−10.

Using L'Hôpital's Rule, we can find the limit of the given expression as follows:

lim b → [infinity] (−b/10 e^−10b − 1/100 e^−10b + 1/10 e^−10 + 1/100 e^−10)

= lim b → [infinity] [(−1/10 e^−10b + 1/100 e^−10b) / (1/e^−10b)]

= lim b → [infinity] [(1/100 e^−10b - 1/10 e^−10b) / (1/e^−10b)]

= lim b → [infinity] [(-1/100 + 1/10) e^−10b]

= lim b → [infinity] (9/100 e^−10b)

= 0

Therefore, we can conclude that lim b → [infinity] (−b/10 e^−10b − 1/100 e^−10b + 1/10 e^−10 + 1/100 e^−10 = 11/100 e^−10.

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Answer:

34 because

Step-by-step explanation:

Mark brainliest

Answer:

218

Step-by-step explanation:

436 ÷ 2

Using long division

436/2

4 ÷ 2 = 2

3 ÷ 2 = 1 remainder 1

We combine 1 and 6 together to give us 16

16 ÷ 2 = 8

Therefore, 436 ÷ 2 = 218

1.33333

Step-by-step explanation:

Don't worry it checks out.

Answer:

1.33333333333

Step-by-step explanation:

By definition a square has all 4 sides equal, the area of a square is sxs or s^2, so s^2 = 400, s = square root of 400 = 20. All sides will be equal to 20 m. The perimeter is the sum of the sides or 4 x s or 80.

Steps:

A= L^2

Where L is length of the side

400=L^2 》》》》》 square root

L= 20 all sides of square are 20 m

P = 4L

=4(20)

=80m

Step-by-step explanation:

first: A function is when one x value only has one y value meaning its one to one. equations like y=x+7 and 5y=2x are functions while ones like x*6=y^6 are not. hope this helps :)

Aisha complete 9/ 10 of a Paragraph in 1 minute.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

Aisha types 3/5 of a paragraph in 2/3 minute.

So, In one minute she types

= 3/5 ÷ ( 2/3)

= 3/5 x 3/2

= 9/ 10 Paragraph

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The minimum length of the crest vertical curve is 354.1 feet, and the minimum length of the sag curves is 493.4 feet.

In designing the crest vertical curve, several criteria need to be considered, including driver perception-reaction time, design speed, and grade changes. The design should ensure driver comfort and safety by providing adequate sight distance.

To determine the minimum length of the crest vertical curve, we consider the stopping sight distance, which includes the distance required for a driver to perceive an object, react, and come to a stop. The minimum length of the crest curve is calculated based on the formula:

Lc = (V^2) / (30(f1 - f2))

Where:

Lc = minimum length of the crest vertical curve

V = design speed (in feet per second)

f1 = gradient of the approaching grade (in decimal form)

f2 = gradient of the departing grade (in decimal form)

Given the design speed of 60 mph (or 88 ft/s), and the grade changes of +4% and -3%, we can calculate the minimum length of the crest vertical curve using the formula. The result is approximately 434 feet.

Additionally, the sag curves are designed to provide a smooth transition between the crest curve and the approaching and departing grades. The minimum lengths of the sag curves are typically equal and calculated based on the formula:

Ls = (V^2) / (60(a + g))

Where:

Ls = minimum length of the sag curves

V = design speed (in feet per second)

a = acceleration due to gravity (32.2 ft/s^2)

g = difference in grades (in decimal form)

For the given scenario, the difference in grades is 7% (4% - (-3%)), and using the formula with the design speed of 60 mph (or 88 ft/s), we can calculate the minimum lengths of the sag curves to be approximately 307 feet each.

By considering the perception-reaction time, design speed, and grade changes, the minimum lengths of the crest vertical curve and the sag curves can be determined to ensure safe and comfortable driving conditions on the two-lane highway.

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Answer:

$4320

Step-by-step explanation:

12 divided by 2 is 6

720 x 6 = 4320

Answer:

49.7 mph

Step-by-step explanation:

divide the length value by 1.609

The rule of the transformation that has been applied to the ordered pairs of triangle QRS to triangle Q'R'S' is a rotation of 90° about the origin in a counterclockwise (anticlockwise) direction.

In Geometry, the rotation of a point 90° about the center (origin) in a counterclockwise (anticlockwise) direction would produce a point that has these coordinates (-y, x).

By applying a rotation of 90° counterclockwise to the vertices of triangle QRS (∆QRS), the coordinates of the vertices of the image (∆Q′R′S′) are as follows:

(x, y)                               →            (-y, x)

Ordered pair Q = (-4, 2) → Ordered pair Q' = (-2, -4)

Ordered pair R  = (-3, 5) → Ordered pair R' = (-5, -3)

Ordered pair S = (0, 1) → Ordered pair S' = (-1, 0)

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Answer:

C) C < 4

Step-bay-step explanation:

> means "greather than"

< means "less than"

The only statement that is true:

C) C< 4

The trigonometric ratios are identified as follows:

sin∠QOP = cos∠QOR

cos∠ROQ = sin∠POQ

There are three main trigonometric ratios which are:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

Now, we know that:

sin x = cos (90 - x)

Thus, from the given image, we see that:

sin∠QOP = cos∠QOR

Similarly, we can say that:

cos∠ROQ = sin∠POQ

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Answer:

x = -1/2

Step-by-step explanation:

4 (8x + 4) -20 = -20

=> 32x + 16 -20 = -20

=> 32x - 4 = -20

=> 32x = -20 + 4

=> 32x = -16

=> 32x/32 = -16/32

=> x = -1/2

So, x is -1/2 or -0.5

To simplify 4(8x+4), multiply 4 by 8x and 4.

(4×8x) + (4×4) = 32x and 16

32x + 16 - 20 = -20

Subtract 16 from both sides.

You should end up with 32x - 20 = -36

Add 20 to both sides.

You should end up with 32x = -16

-16 ÷32 = -1/2

x = -1/2

♡ Hope this helps! ♡

❀ 0ranges ❀

median is 26

maximum is 44

minimum is 17

third quartile is 40

first quartile is 18    

should be correct but I'm not sure

The median is 26, the maximum value is 44. The minimum value is 17. The third quartile is 40 and first quartile is 18.

When we get data that can be compared relatively with each other, for finding quartiles, we arrange them in ascending or descending order.

Quartiles are then selected as 3 points such that they create four groups in the data, each group approximately possessing 25% of the data.

The given data set is;

17, 18, 19, 40, 42, 16, 33, 17, 33, 44, 19, 40, 37, 26, 25

The data using the five-number summary.

The median is 26

The maximum value is 44

The minimum value is 17

The third quartile is 40

The first quartile is 18  

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Answer:

\(\frac{5}{3978}\) i think

Step-by-step explanation:

so probablity : \(\frac{number of possible outcomes}{total number of things}\) ok im sorry i dont know the exact words

so there are four kings and four queens in a deck of cards

there are 52 cards in a deck

there are six sides to a die

so you need to multiply:

\(\frac{4}{52} * \frac{4}{51} * \frac{1}{6}\)

you do 51 for the second fraction instead of 52 because you already took out one card

you will get \(\frac{5}{3978}\)

(a) The length of wire that should be used for the square in order to maximize the total area is 9 meters.

(b) Using the same 9 meters of wire for the square will result in the minimum total area as well as the maximum total area.

(a) To maximize the total area, we need to use as much wire as possible for the square and as little as possible for the triangle. Let x be the length of wire used for the square, then the length of wire used for the triangle is 9 - x.

For the square, we have:

4s = x, where s is the side length of the square.

For the equilateral triangle, we have:

3t = 9 - x, where t is the side length of the equilateral triangle.

Solving for x in terms of s and t, we get:

x = 4s and x = 9 - 3t/2.

Substituting x = 4s into x = 9 - 3t/2, we get:

4s = 9 - 3t/2

8s = 18 - 3t

t = (18 - 8s)/3

The area of the square is given by A = s^2, and the area of the equilateral triangle is given by A = (\(\sqrt{3}\)/4)t^2.

Substituting t = (18 - 8s)/3, we get:

A = (\(\sqrt{3}\)/4)((18 - 8s)/3)^2

To maximize the total area, we need to maximize A, which is a function of s. Taking the derivative of A with respect to s, we get:

dA/ds = -4\(\sqrt{3}\)(4s-9)/27

Setting dA/ds = 0, we get:

4s - 9 = 0

Solving for s, we get:

s = 9/4

Therefore, the length of wire that should be used for the square in order to maximize the total area is:

x = 4s = 9 meters.

(b) To minimize the total area, we need to use as little wire as possible for the square and as much as possible for the triangle. Let x be the length of wire used for the square, then the length of wire used for the triangle is 9 - x.

Using the same equations as in part (a), we get:

t = (18 - 8s)/3

A = (\(\sqrt{3}\)/4)((18 - 8s)/3)^2

Taking the derivative of A with respect to s, we get:

\(dA/ds = -4\sqrt{3}(4s-9)/27\)

Setting dA/ds = 0, we get:

4s - 9 = 0

Solving for s, we get:

s = 9/4

This is the same value as in part (a), which means that using 9 meters of wire for the square will result in the minimum total area as well as the maximum total area.

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Answer:

y= 2/5x+3.6

Step-by-step explanation

used the formula

mark brainlist pls

Answer:

<abd+<dbc=<Abc

50+40=90

triangle abc is a right angled triangle being one angle 90 degree

Answer:

Step-by-step explanation:

Answer:

<abd+<dbc=<Abc

50+40=90

triangle abc is a right angled triangle being one angle 90 degree

The total number of fishes present in the lake on my 1 is 840.

The given data for the question-

September is equivalent to a percentage of tagged fish in May.

3/42 = 60/x

x = 60 *42 / 3

x = 840

Thus, the total number of fishes present in the lake on my 1 is 840.

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Answer:

19

Step-by-step explanation:

x^2= 1/2×1/2=1

2x=2×1/2=1

1×8=8

8-1=7

7+(5+7)=19

The radius of convergence of the series ∑(cn + dn)Xⁿ  is at least 5.

Thus, we can say that both series converge absolutely for |x| < 5 and |x| < 6, respectively.The radius of convergence of a series is defined as the distance from the center of the series to the closest point where the series converges.

The radius of convergence for the series

∑(cn + dn)Xⁿ

can be determined using the following formula:

R = \(\frac{1}{\lim\limits_{n\to\infty} \sup \sqrt[n]{|c_n + d_n|}}\)

Here, cn and dn are the nth terms of the respective series. The limit superior is taken as n approaches infinity.To simplify the calculation, we can take the larger of the two radii of convergence.

∑(cn + dn)Xⁿ

is at least 5 since it is less than or equal to the radius of convergence of the series ∑dn^xⁿ .

Therefore, we can say that the radius of convergence of the series ∑(cn + dn)Xⁿ is at least 5.

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Answer:

Median: 88, First Quartile: 84, Third Quartile: 92, IQR (interquartile range): 8

Step-by-step explanation:

1. Sort the numbers in numerical order (like 1, 2, 3, etc.)2. Find the number that is in the middle3. Find all the quartiles by finding the median of the lower and upper halves of the list4. Subtract Q1 (quartile 1) and Q3 (quartile 3) like this: Q3 - Q1 to get IQR

Answer:

the dimensions are 7 inches and 9 inches

The selling price of the computer was $8507.52.

We have,

If the businessman incurred a loss of 21% on the cost price, then the selling price (SP) must have been 79% of the cost price (CP), since:

SP = CP - Loss

SP = CP - 0.21 x CP

SP = 0.79 x CP

We know that the cost price was $10768, so we can substitute this value into the equation above to find the selling price:

SP = 0.79 x CP

SP = 0.79 x $10768

SP = $8507.52

Therefore,

The selling price of the computer was $8507.52.

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Answer:Ross can fill the balloon for 0.2 seconds before it pops.

Step-by-step explanation:

Sure thing! Let's calculate the answer to your math problem. The formula to calculate the volume of a sphere is V = (4/3)πr^3, where r is the radius. Since we know that the maximum radius of the balloon is 5 inches, we can calculate the maximum volume of the balloon, which is V = (4/3)π(5)^3 = 523.6 cubic inches.

Now, we need to calculate the time it takes to fill up 523.6 cubic inches of water using a garden hose with a flow rate of 12 gallons per minute. First, we need to convert the volume to gallons, which is 523.6/231 = 2.265 gallons.

Next, we can use the formula: time = volume / flow rate. Plugging in the values, we get time = 2.265 / 12 = 0.189 seconds. Rounded to the nearest tenth of a second, Ross can fill the balloon for 0.2 seconds before it pops. I hope that helps!

Answer:

Nine point two hundred two

Answer:

The expression (8-i)/(2+i) in standard form is, 3 - 2i

Step-by-step explanation:

The expression is,

(8-i)/(2+i)

writing in standard form,

\((8-i)/(2+i)\\\)

Multiplying and dividing by 2+i,

\(((8-i)/(2+i))(2-i)/(2-i)\\(8-i)(2-i)/((2+i)(2-i))\\(16-8i-2i-1)/(4-2i+2i+1)\\(15-10i)/5\\5(3-2i)/5\\=3-2i\)

Hence we get, in standard form, 3 - 2i

The expression (8-i)/(2+i) in standard form a+bi is (15 - 10i) / (3 + 4i).

To write the expression (8-i)/(2+i) in standard form a+bi, we need to eliminate the imaginary denominator. We can do this by multiplying the numerator and denominator by the conjugate of the denominator.

The conjugate of 2+i is 2-i. So, we multiply the numerator and denominator by 2-i:

(8-i)/(2+i) * (2-i)/(2-i)

Using the distributive property, we can expand the numerator and denominator:

(8(2) + 8(-i) - i(2) - i(-i)) / (2(2) + 2(i) + i(2) + i(i))

Simplifying further:

(16 - 8i - 2i + i^2) / (4 + 2i + 2i + i^2)

Since i^2 is equal to -1, we can substitute -1 for i^2:

(16 - 8i - 2i + (-1)) / (4 + 2i + 2i + (-1))

Combining like terms:

(15 - 10i) / (3 + 4i)

Therefore, the expression (8-i)/(2+i) in standard form a+bi is (15 - 10i) / (3 + 4i).

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