There are 50 students in a class and their annual result is presented in the following table:
Result
fail , 7 students
pass, 43 students


If a student is selected at random find the probability that the student has passed the examination.
​

Answer:

[tex]y = 2x - - 3[/tex]

That's the answer. Hope this helps

Please could you give me brainliest

The rule of the sequence 2 4 6 is that each term is obtained by adding 2 to the previous term.

In an arithmetic sequence, the rule is that each term is obtained by adding a fixed value (common difference) to the previous term. In this case, the common difference of the sequence 2 4 6 is 2. So, 2 is added to the first term (2) to get the second term (4), and 2 is added to the second term (4) to get the third term (6).

It is also possible to express the rule of the sequence by using the formula of an arithmetic sequence, which is a_n = a_1 + (n-1)d, where a_1 is the first term, d is the common difference, and n is the number of the term.

In this case, a_1 = 2, d = 2, so the rule of the sequence is a_n = 2 + (n-1)2 = 2n, where n is the number of the term.

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The equivalent expressions for the expressions are

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

4x - 7y - 5z + 6 and -3x - 8y - 4 - 8/7z

Solving the first expression, we have

4x - 7y - 5z + 6

Rewrite as

4x  + 6 - 7y - 5z

Factor out 2

2(2x + 3) - 7y - 5z

Solving the second expression, we have

-3x - 8y - 4 - 8/7z

Factor out 4

-3x - 4(2y - 1 - 2/7z)

Hence, the equivalent expression is -3x - 4(2y - 1 - 2/7z)

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It is not possible to construct a triangle whose sides are 2 cm 3 cm and 7 cm because the sum of two sides(2 cm and 3 cm) are smaller than third sides(7 cm).

In the given question, we have to check that it is possible to construct a triangle whose sides are 2 cm 3 cm and 7 cm.

To check whether the given sides can make a triangle or not, we have to check that the sum of two sides always grater than the third side.

To check this we firstly add the 2 and 3

2 + 3 < 7

5 > 7

Now we add 2 and 7

2 + 7 > 3

9 > 3

Now we add 3 and 7

7 + 3 > 2

10 > 2

It is not possible to construct a triangle whose sides are 2 cm 3 cm and 7 cm because the sum of two sides(2 cm and 3 cm) are smaller than third sides(7 cm).

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The correct option is (iii) Isosceles triangle is the one which has only 2 equal sides.

Every triangle is made up of three sides and three angles. A side is opposing an angle or a vertex if none of its ends is at the given angle's vertex. An angle is included between two sides if their common terminus is the angle's vertex.

Triangles are divided into one of three types based on the lengths of its sides: scalene, isosceles, or equilateral. A triangle is scalene if none of its sides are equal (of equal length). The triangle is isosceles if two or more of its sides are equal. A triangle is equilateral if all three of its sides are equal. By definition, all equilateral triangles are also isosceles.

Therefore, the correct answer is option (iii) Isosceles Triangle

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Answer:

First, divide the number by the base to get the remainder. This remainder is the first, ie least significant, digit of the new number in the other base

Then repeat the process by dividing the quotient of step 1, by the new base. ...

Repeat this process until your quotient becomes less than the base

Step-by-step explanation:

There are some means for value. There are:

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The 3rd term in the given sequence is 45

A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

Given that, first and nth term of a sequence a₁ = 4 and aₙ = 3aₙ₋₁ + n

a₁ = 4

aₙ = 3aₙ₋₁ + n

So, a₂ = 3a₂₋₁ + 2

= 3a₁ + 2

= 3×4+2

= 14

Therefore,

a₃ = 3a₋₁ + 3

= 3a₂ + 3

= 14×3+3

= 45

Hence, a₃ = 45

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The leading coefficient in the polynomial 2v³ +4v² + 1 will be A. 2

The term with the highest power of x is the leading term in a polynomial. As an illustration, the leading term in 7 + x + 3x² is 3x².

The leading coefficient is the number in front of the variable with the highest power

A polynomial's leading coefficient is the coefficient of the leading term. The leading coefficient in the aforementioned illustration is 3.

In this case, this will be 2v³. The coefficient is 2.

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To find the height of the tree, we can use the tangent of the angle between the top of the tree and the tip of Ellie's shadow to find the height of the tree.

Tangent(theta) = Opposite / Adjacent

Opposite = height of tree

Adjacent = distance between Ellie and the tree

Tangent(theta) = height of tree / 16.2

We know that:

Tangent(theta) = 20.25 / 16.2

We can solve for the height of the tree by multiplying both sides of the equation by 16.2:

height of tree = Tangent(theta) * 16.2

height of tree = (20.25 / 16.2) * 16.2height of tree = 20.25

So, the height of the tree is 20.25 meters to the nearest hundredth of a meter.

Answer:  the height of the tree is 20.25 meters to the nearest hundredth of a meter.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

edge 2023

The range of possibilities for the third side of the triangle, after using the triangle inequality theorem is 13 < n < 25.

According to the theorem of triangle inequality, the sum of any two of a triangle's sides must exceed the length of the third side. When we know the lengths of two sides, x and y, we can apply the triangle inequality theorem to estimate the length of the third side, which will be between x + y and x - y.

As a result,

x – y < n < x + y

19 – 6 < n < 19 + 6

13 ft < n < 25 ft

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The value of x in the rectangle is 7 metres.

A rectangle is a quadrilateral with opposite sides equal to each other and also parallel to each other.

The rectangle has dimension 12 meters and 5 times x metres, with diagonal length of 37 metres.

Hence, the length x can be found using Pythagoras's theorem.

Therefore,

c² = a² + b²

where

Therefore,

37² = 12² + (5x)²

1369 = 144 + 25x²

1369 - 144 = 25x²

1225 = 25x²

divide both sides by 25

x² = 1225 / 25

x² = 49

square both sides

x = √49

x = 7 metres

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Answer:

A, B

Step-by-step explanation:

[tex]x^2-5x-4=0 \\ \\ x=\frac{5 \pm \sqrt{(-5)^2-4(1)(-4)}}{2}[/tex]

On simplifying, the correct answers are A and B.

Triangle DEF is an isosceles triangle, with two sides of length 8 and one side of length 10.

We can use Heron's Formula to calculate the area of the triangle. Heron's Formula is A = √(s(s-a)(s-b)(s-c)), where s is the semiperimeter, or half of the perimeter, and a, b, and c are the lengths of the sides of the triangle.

The semiperimeter of triangle DEF is (8+8+10)/2 = 16. Substituting these values into Heron's formula yields A = √(16(16-8)(16-8)(16-10)) = √(256(8)(8)(6)) = √11520 = 107.3.

Therefore, the area of triangle DEF is 107.3 square units.

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Krista put 0.40 in the first equation meant for the number of stamps. Therefore, option A is the correct answer.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Given that, Krista was assigned a homework problem that stated there were 45 stamps purchased for $18.75. Some stamps were 40 cents, and some stamps were 55 cents.

Let 40 cents stamps be x and 55 cents stamps be y.

Now, x+y=45 --------------(I)

0.40x+0.55y=18.75 --------------(II)

System of equations Krista written are

0.40x+y=45 and x+0.55y=18.75

Therefore, option A is the correct answer.

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what is the difference between 880 an 580

Answer:

80%

Step-by-step explanation:

since there were 5 coffees but 4 out of it were regular

mathematically

that's 4/5

but to percentage

that's times 100

4/5×100

4×100 all divided by 5

400 divided by 5

80%

Answer:  The chef can bake (a) 0.25 pies/min.

Step-by-step explanation:

1 hour = 60 minutes

1 hour = 15 pies

15=60m

15/60 = 60/60 m

0.25 = m

The rate in pies per minute is 0.25. Therefore, option A is the correct answer.

Given that, a chef can bake 15 pies in one hour.

We need to find the rate in pies per minute.

What is the rate per minute?

Rate per minute was calculated by dividing the number of events observed by the observed minutes in the observation.

Simplify the rate by dividing each number by the greatest common factor.

Here, divide the number of pies by 60 minutes (1 hour=60 minute)

Now, 15/60=0.25 pies/min

The rate in pies per minute is 0.25. Therefore, option A is the correct answer.

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originally by brainly user bhoopendrasisodiya34

Answer:

x = 5 ft

Step-by-step explanation:

Volume of a right square pyramid = V = x²h/3

66.7 = x²(8/3)

x² = 66.7(3/8) = 25

x = √25 = 5

Answer:

A:33

B:22

C:74

Step-by-step explanation:

A:

2x2x2=8

5x5=25

8+25=33

B:

7x7=49

3x3x3=27

49-27=22

C:

8x8=64

square root of 100 is 10

64+10=74

i hope this helps :)

The temperature in this city changed by 7.5 degrees Celcius

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

Rate of change = 0.5 degree Celcius daily

Number of days = 15

Using the above as a guide, we have the following:

Total change = Rate of change * Number of days

Substitute the known values in the above equation, so, we have the following representation

Total change = 0.5 * 15

Total change = 7.5

Hence, the total change is 7.5 degrees

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Complete question

The temperature of a City changes by 0.5 degree Celcius daily in the month of February. Summarize how the high temperature in this city changed over the 15 days

The length of the string is 37.7 inches string is placed on the outside of a clock going clockwise from 12 to 9.

To calculate the length of the string, first, start with the fact that the circumference of a circle is equal to pi multiplied by the diameter. The diameter of the clock is 12 inches, so then the circumference is 12π or 37.7 inches.

Since the string is going around the outside of the circle, the length of the string is equal to the circumference which is 37.7 inches. To get this answer, take the radius (6 inches) of the clock and double it to get the diameter (12 inches).

Multiply the diameter by pi (3.14) to get the circumference (37.7 inches) and then the length of the string is the same as the circumference.

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Correct question.

A string is placed on the outside of a clock going clockwise from 12 to 9. The clock has a radius of 6 inches. What is the length of the string?

Answer:

Below

Step-by-step explanation:

Cross multiply to get

[3x(x) + (x-2)(x+3)  ] / [x(x+3)]     <==== simplify

[4x^2 +x -6 ] / (x(x+3))      done.

On solving the provided question, we can say that here, in the equation = (2x+3y)(3y-3)=12x+3y-15. so the missing values are = 3y

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

here, in the equation

(2x+3y)(3y-3)=12x+3y-15

so the missing values are

3y

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Can a triangle be formed having the length of sides 2cm 3cm & 5cm.Therefore, this triangle is not possible.

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Therefore , the solution of the given problem of equation comes out to be  x = 73/19 , y = 5/19 and z = 18/19.

In a mathematical formula, the equal symbol (=) is used to denote that the statements are equivalent. It is demonstrated that many numerical variables are comparable using mathematical equations, which are statements of reality. The equal sign, for instance, separates the numbers 12 or b + 6 split separate halves of the equation y + 6 = 12. It is possible to calculate how many words each sides of a symbol represents. The meaning of a symbol usually contradicts itself.

Here,

Given :

=> x-3y+z=4.......   (1)

=>2x-8y+8z=-2 ........ (2)

=> -6x+3y-15z=9 ......... (3)

Multiply eq (1) by 2 and subtract from eq (2)

=>  2x - 6y + 2z -2x +8y +8z = 8 +2

=>  2y +10z =10

=> y + 5z =5 ..... (4)

and

Multiply eq (2) by 3 and add to eq (3)

=> 6x - 24y +24z  -6x + 3y -15z =-6 +9

=> -21y + 9z = 3

=> -7y + 3z =1 ..... (5)

So ,

from eq (4) and (5)

=> y = 5 -5z

=> -7(5-5z) + 3z = 1

=> -35 + 35z + 3z =1

=> 38z = 36

=> z = 36/38

=> z = 18/19

and

=> y = 5 - 5 (18/19)

=> y = 95 -90/19

=> y = 5/19

and

=> x = 4 -z +3y

=> x = 4 - 18/19 +15/19

=> x = 76 -3 /19

=>  x = 73/19

Therefore , the solution of the given problem of equation comes out to be  x = 73/19 , y = 5/19 and z = 18/19.

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Answer:

-8

Step-by-step explanation:

Since it tells you that y=4x you can use that to replace y in the next equation so now it's

X-2(4x)=56

Distribute the -2

X-8x=56

Subtract -8x from x

-7x=56

Divide by -7

X=-8

Answer:

x=−8

y=−32

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