There are 120 students in class 7. It is known that
2/3
out of them like Maths, out of which 35
are girls. Also, out of total students,
3/5
are boys. (3)
(a) What is the number of girls in the class?
(b) How many students like Maths?
(c) How many boys like Maths?

Therefore, we can rearrange the terms as follows:

(47 + 9) + 40 = 47 + (9 + 40)

Distance is the total motion of an object, regardless of direction. Distance can be interpreted as the amount of ground covered, regardless of an object's starting or ending coordinates.

The expression given is:

(47 + 3²/) + 5/1/8

We can simplify this expression using the order of operations (PEMDAS):

3² = 9

5/1/8 = 5 ÷ (1/8) = 5 x 8 = 40

So the expression becomes:

(47 + 9) + 40

Now we can use the Commutative Property of Addition, which states that changing the order of the terms in an addition expression does not change its value. Therefore, we can rearrange the terms as follows:

(47 + 9) + 40 = 47 + (9 + 40)

So another way to write the expression using only the Commutative Property of Addition is:

47 + (9 + 40)

To know more about distance visit:

https://brainly.com/question/15172156

#SPJ1

The expression is (47 + 32 + 5) + (3²/8) + (5/1).

What is the commutative property of addition?

The commutative property of addition states that changing the order of the addends does not change the sum. In other words, if a and b are any two numbers, then:

a + b = b + a

Using the Commutative Property of Addition, we can rearrange the terms without changing the value of the expression.

So, one way to write the expression using only the Commutative Property of Addition is:

(47 + 32 + 5) + (3²/8) + (5/1)

Hence, the expression is (47 + 32 + 5) + (3²/8) + (5/1).

To learn more about the commutative property of addition, visit:

https://brainly.com/question/28387735

#SPJ1

The average commute for 95% of the students is between 19.0 and 4.2 miles.

The average distance is 19 miles.

Therefore, the standard deviation is 4.2 miles.

A) 2.7 = 19 - a(4.2)

where;

a deviates from the mean by a certain number of standard deviations. Thus;

a = (19 - 2.7) ÷ 4.2

a = 3

In a normal distribution, 3 standard deviations from the mean indicate that 95% of the data falls within that range.

B) The data are 2 standard deviations apart from the mean at the 95% confidence level. Thus;

CI = 19 ± 2(4.2)

CI = (18 - 10.2) OR (18 + 10.2)

CI = (7.8, 28.2)

Learn more about confidence intervals at

https://brainly.com/question/17097944

#SPJ4

Answer:

D.115

Step-by-step explanation:

Use the exterior angle of a triangle theorem which states that the exterior angle of a triangle is equal to the sum of the opposite interior angles meaning D=C+B

Answer:

-4 is the answer

Answer:

-4

Step-by-step explanation:

8+(-12)

+ x - = -

8-12

-4

Answer: x ≈ 44

because ΔHIJ is a right triangle at J

=> sin x = 47/68

=> x ≈ 44°

Step-by-step explanation:

Answer:

this question is a very simple. you should start with the biggest triangle then follow the steps to find each side of other triangles. THE ANSWER İS ROOT FORTY ONE

Step-by-step explanation:

these are all right-angled triangles. even the smallest one with the x side.

so, we need to apply Pythagoras to get the missing sides and finally x.

c² = a² + b²

c is the Hypotenuse, the baseline of the triangle opposite of the 90 degree angle. a and b are the legs of the triangle enclosing the 90 degree angle.

so,

52² = 48² + side1²

2704 = 2304 + side1²

400 = side1²

side1 = 20

20² = 12² + side2²

400 = 144 + side2²

256 = side2²

side2 = 16

13² = 5² + (larger part of side2)²

169 = 25 + (larger part of side2)²

144 = (larger part of side2)²

larger part of side2 = 12

that means the smaller part of side 2 = 16-12 = 4.

x² = 5² + 4² = 25 + 16 = 41

x = sqrt(41)

So, D is the right answer option.

The 68-95-99.7 rule, also known as the empirical rule, is a shorthand for remembering the percentage of values in a normal distribution that lie within an interval estimate: 68%, 95%, and 99.7% of values lie within one, two, and three standard deviations of the mean, respectively.

The empirical rule, also known as the three-sigma rule or the 68-95-99.7 rule, is a statistical rule stating that for a normal distribution, nearly all observed data will fall within three standard deviations (denoted by σ) of the mean or average (denoted by µ).

The Empirical Rule states that 99.7% of data from a normal distribution is within 3 standard deviations of the mean.

68% of the data is within one standard deviation of the mean, 95% is within two standard deviations, and 99.7% is within three standard deviations, according to this rule.

Three-sigma limits that follow the empirical rule are used to define the upper and lower control limits in statistical quality control charts and risk analysis such as VaR.

Learn more about standard deviation

https://brainly.com/question/23907081

#SPJ1

Answer:

Finding the dilation's center point is the first step in determining the scale factor. Next, we measure the distances between the center point and various points on the preimage and the image. We may determine the scale factor by dividing these distances by 2.

Step-by-step explanation:

Answer:

2x + 10

_______

x^3 - 4x

Step-by-step explanation:

this is the answer

Answer:

Yes.

Step-by-step explanation:

Straight lines can be linear

i hope this helps :)

51/x - 5i

this is the answerrrr

Answer:

9 more people

Step-by-step explanation:

There are 15 first prize winners and 4 grand prize winners

that means there are 15 - 4 more first prize winners than grand prize winners

15 - 4 = 9

9 more people won first prize than the grand prize

According to the Synthetic Division, the Quotient is equal to  7x² -4x + 5 and the Remainder is equal to 8.

Synthetic division can divide two polynomials more quickly than the standard long division algorithm.

With this method, the dividend and divisor polynomials are reduced to a set of numerical numbers.

Given:

(7x³-25x² +17x -7) ÷ (x-3).

So, Synthetic Division for this is as follows:                                    

                      (x-3) | (7x³-25x² +17x -7) | 7x² -4x + 5

                                                    7x³-21x²

                                                 _________

                                                           -4x² + 17x

                                                           -4x² + 12x        

                                                    _______________

                                                                        5x - 7              

                                                                        5x - 15

                                                                      ________

                                                                               8

To know more about Synthetic Division, visit:      

https://brainly.com/question/11954802

#SPJ1

Answer:

0.296 square km or 296000 square meters

Step-by-step explanation:

first of all to find the area you multiply 0.74 and 0.4 to get 0.296 square kilometers then you multiply by 1 million to convert it to square meters

would be amazing if you marked this as brainliest

If the algorithm has a constant number of steps independent of the input size, s(n) remains the same when n is doubled.

Then the effect on the number of steps required, denoted as s(n), when the number of items being processed (n) is doubled will depend on the specific algorithm and its complexity.

Here are a few possibilities:

1. Constant Time Complexity (O(1)): If the algorithm has a constant time complexity, it means that the number of steps required remains the same, regardless of the input size. In this case, doubling n would not have any impact on s(n).

2. Linear Time Complexity (O(n)): If the algorithm has a linear time complexity, it means that the number of steps required is directly proportional to the input size. Doubling n would approximately double the number of steps as well. Thus, s(n) would increase in a linear manner.

3. Quadratic Time Complexity (O(n^2)): If the algorithm has a quadratic time complexity, it means that the number of steps required grows quadratically with the input size. When n is doubled, the number of steps would be approximately four times the original amount. Thus, s(n) would increase significantly.

4. Logarithmic Time Complexity (O(log n)): If the algorithm has logarithmic time complexity, doubling n would not have a substantial impact on the number of steps required. The increase in s(n) would be relatively small compared to the increase in n.

These are just a few examples, and there are various other complexities that algorithms can exhibit.

Each algorithm has its own time complexity, which determines how the number of steps required changes as the input size is doubled.

To know more about algorithms refer here:
https://brainly.com/question/31936515#

#SPJ11

Answer:

20

Step-by-step explanation:

Answer:

x= 8 km

Step-by-step explanation:

measurement used:

When getting measurement the missing side occupies 1 more than a half of 15km

Answer:

x = 8km

Step-by-step explanation:

Use Pythagorean Theorem:

c2 = a2 + b2

In the diagram given, the hypotenuse (c) is 17 so substitute these values into the equation

17^2 = x^2 + 15^2

Take 15 to the power 2, to the other side.

17^2 - 15^2 = x^2

Solve to get

64 = x2

Square root both sides so

x = 8

Answer:

7 & 5

Step-by-step explanation:

7+5=12
7-5=2
5-7=-2

Answer:

5 and 7

Step-by-step explanation:

5 + 7 = 12

5 - 7 = -2

Answer:5x-17

Step-by-step explanation:

4x - 7 + x -10 = 0

4x + x - 7 - 10 = 0

5x - 17 = 0

5x = 17

x = 17/5

Answer:

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.

We have to solve all of the five equations to be able to match the equations with their solutions.

2x² - 8x + 5, here a = 2, b = -8, c = 5.                                                  x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4.     24 can also be written as 4 × 6 and √4 = 2. So                                                                                     x = 8 ± 2√6 / 2×2= 4±√6/2.

2x² - 10x + 3, here a = 2, b = -10, c = 3.                                                   x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So                                                                              x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.

2x² - 8x - 3, here a = 2, b = -8, c = -3.                                                    x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4.     88 can also be written as 4 × 22 and √4 = 2. So                                                                             x = 8 ± 2√22 / 2×2 = 4± √22/2.

2x² - 9x - 1, here a = 2, b = -9, c = -1.                                                     x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4.                                          x = 9 ± √89 / 4.

2x² - 9x + 6, here a = 2, b = -9, c = 6.                                                    x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4.                                                                             x = 9 ± √33 / 4 .

mark me as brilinist please

Answer:

.4

Step-by-step explanation:

2.80/7=.4

7 x 0.4 = 2.8

The distributive property states that the following equation is true:

a(b - c) = ab - ac

We have the equation:

2(5 - y) = 2(5) - 2(y)

We have applied the distributive property to multiply 2 by 5 and y separatel as shown in the equation, thus the answer is:

Distributive

Answer:

\((x+5)^2+(y-6)^2=41\)

Step-by-step explanation:

Hi there!

Equation of a circle: \((x-h)^2+(y-k)^2=r^2\) where the circle is centered at \((h,k)\) and r is the radius

1) Plug in the center (-5,6)

\((x-(-5))^2+(y-6)^2=r^2\\(x+5)^2+(y-6)^2=r^2\)

2) Plug in the given point (-1,1) and solve for r²

\((-1+5)^2+(1-6)^2=r^2\\(4)^2+(-5)^2=r^2\\16+25=r^2\\41=r^2\)

Therefore, r² is 41. Plug this back into \((x+5)^2+(y-6)^2=r^2\):

\((x+5)^2+(y-6)^2=41\)

I hope this helps!

Answer:

y=3/4x-9/2

Step-by-step explanation:

y=mx+c

m=dy/dx

=-3/-4

=3/4

-3=(3/4*2)+c

-3=3/2+c

-9/2=c

Answer:

x + 0.15x = OP

Step-by-step explanation:

OP= Original Price

Hi there! Hopefully this helps!

----------------------------------------------------------------------------------------------------------

It decreased by 30 cents per week.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The average rate of change is calculated as:

the ratio of the sum of the change in the three weeks divided by the number of weeks. (The number of weeks being 3)

 Rate of change = \(\frac{-60 -10 -20}{3}\).

(-60 + -10 + -20 = -90). So, to simplify it:

\(\frac{-90}{3}\) = -30

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Incase you are confused:

Since the average rate of change is negative, this means that the stock price has decreased.

Answer:

Step-by-step explanation:

Given the data from the question, reaction 2 is 2.83 times faster compared to reaction 1

We can determine how many times faster is reaction 2 to reaction by doing the following:

R₂ / R₁ = 0.510 / 0.180

R₂ / R₁ = 2.83

Cross multiply

R₂ = 2.83 × R₁

From the above illustration, we can see that reaction 2 is 2.83 times faster than reaction 1

Learn more about Graham's law of diffusion:

https://brainly.com/question/14004529

#SPJ1

We are given that:

Now, recall that when given two congruent triangles the order matters, in this case, the corresponding sides are:

and the corresponding angles are:

Using the CPCTC we get that:

Answer:

Dimensions of the rectangular garden are 45 yards each and area with  the calculated dimensions are 2025 square yards.

As given in the question,

Perimeter of the rectangular garden is equal to 180 yards

Let 'x' be the length and 'y' be the width of the rectangular garden

2 ( x + y ) = 180

⇒ x + y = 90

⇒ y = 90 -x

Area of the rectangular garden 'A' = xy

⇒ A = x ( 90 - x)

⇒ A = 90x - x²

To maximize the area dA/dx = 0

dA/dx = 90 - 2x

⇒ 90 - 2x = 0

⇒ 2x = 90

⇒ x = 45 yards

⇒ y = 45 yards

Area of the rectangular garden = 45 × 45

                                                 = 2025 square yards

Therefore, the dimensions of the garden are 45 yards each and area of the rectangular garden is equal to 2025 square yards.

Learn more about area here

brainly.com/question/27683633

#SPJ4