In an examination, 200 students out of 500, obtained first division. What percentage of student got first division

Answer:

The speed of the airplane is 300 miles per hour.

Step-by-step explanation:

Let consider that plane travels at constant speed, which is the sum of the velocity of the plane in still air (velocity of the plane relative to wind) and the velocity of the wind. Hence, the total time spent by the plane is described by following kinematic formula:

[tex]t = s\cdot \left(\frac{1}{v_{P}-v_{W}}+\frac{1}{v_{P}+v_{W}} \right)[/tex] (1)

Where:

[tex]t[/tex] - Total time, in hours.

[tex]s[/tex] - Distance between Los Angeles and San Jose, in miles.

[tex]v_{P}[/tex] - Velocity of the plane in still air, in miles per hour.

[tex]v_{W}[/tex] - Velocity of the wind, in miles per hour.

Then, we proceed to simplify the formula and clear the speed of the plane in still air:

[tex]\frac{t}{s} = \frac{2\cdot v_{P}}{v_{P}^{2}-v_{W}^{2}}[/tex]

[tex]\left(\frac{t}{s}\right)\cdot (v_{P}^{2}-v_{W}^{2}) = 2\cdot v_{P}[/tex]

[tex]\left(\frac{t}{s} \right)\cdot v_{P}^{2} - 2\cdot v_{P}- \left(\frac{t}{s} \right)\cdot v_{W}^{2} = 0[/tex]

Which is a Second Order Polynomial, whose roots can be found analytically by Quadratic Formula. If we know that [tex]t = 2\,h[/tex], [tex]s = 288\,mi[/tex] and [tex]v_{W} = 60\,\frac{mi}{h}[/tex], then we have the following polynomial:

[tex]\frac{1}{144}\cdot v_{P}^{2}-2\cdot v_{P} -25 = 0[/tex]

The two roots associated with this polynomial are, respectively:

[tex]v_{P,1} = 300\,\frac{mi}{h}[/tex], [tex]v_{P,2} = -12\,\frac{mi}{h}[/tex]

Since speed is the magnitude of velocity, then solution must be positive. First root satisfies all these conditions.

In a nutshell, the speed of the airplane is 300 miles per hour.

Answer:

p - 3

Step-by-step explanation:

Key expression: 3 fewer than

Fewer than = subtract from

subtract 3 from a number, p

This means that the expression would be p - 3

Because you are subtracting 3 from a number ( p )

Answer:

Option 2, v plus 5 greater or equal than 9

Step-by-step explanation:

For inequality represented by option 2 i.e v plus 5 greater or equal than 9

v+5 >= 9

If we put v =4 in above inequality, we get

4+5>= 9

9>= 9

Hence, option 2 is correct

Answer:

Option 2

Step-by-step explanation:

Answer:

[tex]P(Y = 3 | X = 2) = 0.2857[/tex]

Step-by-step explanation:

Given

The question has missing details, and it is poorly formatted.

See attachment for complete question

From the attachment, we have:

Calculate: [tex]P(Y = 3 | X = 2)[/tex]

This is calculated as:

[tex]P(Y = 3 | X = 2) = \frac{P(X = 2 | Y = 3)}{P(X = 2)}[/tex]

From the attached image, we have:

[tex]P(X = 2 | Y = 3) = 0.10[/tex] i.e. column x = 2 and row y = 3

[tex]P(X = 2) = 0.05 + 0.10 + 0.20[/tex] --- i.e. we add all columns of x = 2

This gives:

[tex]P(X = 2) = 0.35[/tex]

So, we have:

[tex]P(Y = 3 | X = 2) = \frac{P(X = 2 | Y = 3)}{P(X = 2)}[/tex]

[tex]P(Y = 3 | X = 2) = \frac{0.10}{0.35}[/tex]

[tex]P(Y = 3 | X = 2) = 0.2857[/tex]

Answer:

-10/3 is a rational number

Step-by-step explanation:

Rational numbers are the ratios of two integers.

Answer:

3 hours

Step-by-step explanation:

15÷5=3 so that's ot

Answer:

B. [tex] 200.5 \: {m}^{2} [/tex]

Step-by-step explanation:

Area of the composite figure = Area of square with side length 12 m + Area of semicircle with radius (12/2= 6) 6 m

[tex] = {(12)}^{2} + \frac{1}{2} \pi {r}^{2} \\ \\ = 144 + \frac{1}{2} \times 3.14(6)^{2} \\ \\ = 144 + \frac{1}{2} \times 3.14 \times 36 \\ \\ = 144 + 56.52 \\ \\ = 200.52 \: {m}^{2} \\ \\ \approx \: 200.5 \: {m}^{2} [/tex]

Answer:

13

Step-by-step explanation:

If you plug in 5 for x you get...

f(5)= 3(5) - 2

f(5)= 15 - 2

Therefore, f(5) = 13

Answer:

f(5)=13 <- really the right answer this time haha

Step-by-step explanation:

f(5)=3(5)-2

=15-2

=13

Answer:

The Answer is Literally C - 15.

decreased by means subtract 15

and a number means the Variable: C

so C-15

Step-by-step explanation:

Answer:

b) [tex]\sin(B) = \frac{\sqrt 2}{2}[/tex]

e) [tex]\tan(B) = 1[/tex]

Step-by-step explanation:

Given

The attached triangle

Required

The true statement about B

The given options show that we determine the correct trigonometry ratio of B.

So, we have:

[tex]\cos(B) = \frac{Adjacent}{Hypotenuse}[/tex]

This gives:

[tex]\cos(B) = \frac{a}{c}[/tex]

Where:

[tex]a = 3mm\\c = 3\sqrt 2 mm[/tex]

[tex]\cos(B) = \frac{3}{3\sqrt 2}[/tex]

3 cancels out

[tex]\cos(B) = \frac{1}{\sqrt 2}[/tex]

Rationalize

[tex]\cos(B) = \frac{1}{\sqrt 2}* \frac{\sqrt 2}{\sqrt 2}[/tex]

[tex]\cos(B) = \frac{\sqrt 2}{\sqrt 2*\sqrt 2}[/tex]

[tex]\cos(B) = \frac{\sqrt 2}{12}[/tex]

Also:

[tex]\sin(B) = \frac{Opposite}{Hypotenuse}[/tex]

This gives:

[tex]\sin(B) = \frac{b}{c}[/tex]

Where:

[tex]b = 3mm\\c = 3\sqrt 2 mm[/tex]

[tex]\sin(B) = \frac{3}{3\sqrt 2}[/tex]

3 cancels out

[tex]\sin(B) = \frac{1}{\sqrt 2}[/tex]

Rationalize

[tex]\sin(B) = \frac{1}{\sqrt 2}* \frac{\sqrt 2}{\sqrt 2}[/tex]

[tex]\sin(B) = \frac{\sqrt 2}{\sqrt 2 * \sqrt 2 }[/tex]

[tex]\sin(B) = \frac{\sqrt 2}{2}[/tex]

Lastly:

[tex]\tan(B) = \frac{\sin(B)}{\cos(B)}[/tex]

This gives:

[tex]\tan(B) = \frac{\sqrt{2}/2}{\sqrt{2}/2}[/tex]

[tex]\tan(B) = 1[/tex]

Hence, (b) and (e) are true

54 = 6n     divide 6 on both sides, 6's will cancel on the right.

__    __     solve for 54 ÷ 6 = 9

6      6

n = 9, choice 4 -- final answer

hope this helps :)

The solution of the given equation 54 = 6n will be 9 thus option (D) is correct.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

As per the given equation,

54 = 6n

Divide by 6 into both sides,

n = 9

Hence "The solution of the given equation 54 = 6n will be 9".

For more about the equation,

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Answer: yx (4)(12) / 8

Step-by-step explanation:

Answer:

1. What is an inverse proportion equation that represents this situation?

y=48/k

2. How many crackers will each person get if 8 people are sharing the crackers?

6 crackers

Step-by-step explanation:

1. What is an inverse proportion equation that represents this situation?

The number of crackers, y, is inversely proportional to the number of people, x. In mathematical terms, this is y=k/x, where k is some number.

When there are 4 people, each person gets 12 crackers:

y=k/x

12=k/4

48=k

Therefore, our equation is y=48/x

2. How many crackers will each person get if 8 people are sharing the crackers?

y=48/x, where y is the number of cracker and x is the number of people.

y=48/8

y=6

Answer:

mAB=130°

Step-by-step explanation:

The tangent-chord theorem tells us that the angle the tangent makes with the curve (65°) is half the measure of the arc (mAB):

mAB=2(65)=130°

The value of measure of arc AB is,

⇒ m AB = 130°

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Line t is tangent to the circle.

Now, We know that;

The tangent-chord theorem tells us that the angle the tangent makes with the curve is half the measure of the arc.

Hence, We can formulate;

⇒ m AB = 2 × 65°

              = 130°

Thus, The value of measure of arc AB is,

⇒ m AB = 130°

Learn more about the angle visit:;

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Answer:

C

Step-by-step explanation:

Answer: arc ef is 68

Step-by-step explanation:

Since EF and FG are the same length (given)

and DE and DG are the same length (both are radius of the circle)

and DF is a shared side, the 2 inscribed triangles are congruent, making angle EDF also 68

The measure of an arc is the same as the measure of the angle across from it

Answer: It should be 825

Step-by-step explanation:

Answer:

the ration of 3:5. 5 x 4 gives you 20 so, 3x4 gives you 12.

Answer:

150 ft²

Step-by-step explanation:

Area of trapezoid = ½(a + b)h

Where,

a = 24 ft

b = 24 + 12 = 36 ft

h = √(13² - 12²) = √25 = 5 ft (pythagorean theorem was applied here)

Plug in the values

Area of trapezoid = ½(24 + 36)*5

= ½(60)*5

Area of trapezoid = 150 ft²

Q5 is 115. Hope this helps! :) ✨

I can't see the numbers on Q6 sorry :((

Answer:

Area of the composite figure = 84 in²

Step-by-step explanation:

Area of the composite figure = Area of rectangle DEFG + Area of rectangle BCGH + Area of triangle ABH

Area of rectangle DEFG = DE × EF

                                        = 5 × 10

                                        = 50 in²

From ΔBHA,

AB = ED = 5 in [Given]

AH = FA - (GH + FG)

     = 15 - (7 + 5)

     = 15 - 12

     = 3 in.

By applying Pythagoras theorem in ΔABH,

AB² = HB² + AH²

5² = HB² + 3²

25 - 9 = HB²

HB = √16

HB = 4 in

Area of rectangle BCGH = BC × HB

                                         = 7 × 4

                                         = 28 square in.

Area of triangle ABH = [tex]\frac{1}{2}(\text{Height})(\text{Base})[/tex]

                                   = [tex]\frac{1}{2}(BH)(AH)[/tex]

                                   = [tex]\frac{1}{2}(4)(3)[/tex]

                                   = 6 in²

Therefore, area of the composite figure = 50 + 28 + 6

                                                                  = 84 in²

Answer:

-971

Step-by-step explanation:

I plugged the numbers into a arithmetic sequence calculator

Answer:

[tex] 148 \frac{3}{4} \: {in}^{3} [/tex]

Step-by-step explanation:

volume of the right rectangular prism

[tex] = lwh \\ \\ = 10 \times 4 \frac{1}{4} \times 3 \frac{1}{2} \\ \\ = 10 \times \frac{17}{4} \times \frac{7}{2} \\ \\ = \frac{595}{4} \\ \\ = 148 \frac{3}{4} \: {in}^{3} [/tex]

Answer: The volume is 148 3/4 in3.

Step-by-step explanation:

V= l*w*h      

V= 10* 4 1/4* 3 1/2

V= 148 3/4

The greatest common factor( GCF) is = 4.

The greatest common factor(GCF) is the highest number that can divide 8, 44 and 12 without a reminder.

To find the GCF, first list the common factors of each figure given.

There are 3 common factors of 8, 44 and 12, that are 1, 2, and 4. Therefore, the greatest common factor of 8, 44 and 12 is 4.

Learn more here:

https://brainly.com/question/219464

Answer:

the only thing is that your dot should be an open circle because 11 is not included in the answer. If it was less than or equal too, you have a closed dot, but since its just less than its an open dot. I like to think of it like if its closed dot its included, and if its an open dot it falls through the hole and is not included. I don't know if that makes sense, but you've got it otherwise.

Answer:

Its English :))))))

Answer:

i would go fro the first one

Step-by-step explanation:

its asking whitch maple have the more absolute deviations

Answer:

y=-x+1

Step-by-step explanation:

Slope intercept form is writing the equation of a line in the form y=mx+c, where m is slope and c is the y-intercept.

The y-intercept, c, is the value of y when the line crosses the y-axis. We can read from the graph that this value is 1. So, c=1

The slope, m, can be found by taking two points from the graph, (x,y) and (X,Y), and using the formula m=(Y-y)/(X-x). Two point on our line in this example are (0,1) and (-1,2):

m=(2-1)/(-1-0)=-1/1

m= -1

Knowing these values, we can write y=mx+c for our equation: y=-x+1

Answer:

Rectangle + half circle ?

Step-by-step explanation:

Answer:

A rectangular prism and half of a cylinder.

Step-by-step explanation:

The rectangular prism is for the bottom part, and if you cut a cylinder vertically down it's diameter, you would get the top shape. Put em both together and BAM you got a chest. Periodt.

I don't know all of them I guess since I can't see the graphs

Answer:

The graph of the direct variation equation is a straight line through the origin.

Step-by-step explanation: