out of 50 people each play at least one game badminton or hockey,20 like badminton and 35 like hockey,then find,

1.how many people like both games badminton and hockey??


2.how many people like hockey only??​

Question Completion

Answer:

\((a)120^\circ\\(b)60^\circ\)

Step-by-step explanation:

In the diagram BC(Main Street) is parallel to AD(Willow Lane)

Therefore, ABCD is a Trapezoid.

Since in a trapezoid, adjacent angles are supplementary

Therefore:

\(\angle C+ \angle D=180^\circ\\\angle C+ 60^\circ=180^\circ\\\angle C=180^\circ- 60^\circ\\\angle C=120^\circ\)

Since \(AB \cong CD\), ABCD is an Isosceles Trapezoid.

In an Isosceles trapezoid, the base angles are congruent:  

Therefore:\(\angle A \cong \angle D$ and \angle B \cong \angle C\)

Therefore:

\(\angle A \cong \angle D=60^\circ\\\angle B \cong \angle C=120^\circ\)

(a)

The angle between Main Street and the west path is \(\angle CBA = 120^\circ\)

(b)

The angle between the west path and Willow Lane is \(\angle BAD =60^\circ\)

Answer:

B. The confidence interval

Step-by-step explanation:

A confidence interval is a range of estimates for an unknown parameter. A confidence interval is computed at a designated confidence level, so I say the answer is B!

The wavelength of the n = 4 standing wave is 3.5cm.

Standing Waves:

A standing wave is a stationary wave, which means that the wave oscillates in time but the peak amplitude does not move in space. This can happen in a stationary medium from an interference due to two waves traveling in opposite directions. For a harmonic wave, the string's displacement in the y-direction from the x-position and time t can be calculated by using the expression

y(x ,t)=2Asin(2πxλ)cos(ωt)

where A is the maximum displacement in the y-direction, λ

is the wavelength, and ω is the angular frequency. Given a taut string of length L, and assuming the the driving force is at x=0, the boundary conditions are

y(0,t)=0y(L, t)=2Asin(2πLλ)cos(ωt)=0

Given the latter boundary condition, a standing wave occurs when sin(2πLλ)=0=sin(nπ). The condition for the standing wave is then of the form n=2Lλ.

The condition where the standing wave occurs is given by the expression n=4Lλ, where n is a positive integer value, L is the string length, and λ is the wavelength. We calculate the wavelength of an n=4 standing wave as follows:

λ=4Ln=4(7 cm) / 2

= 14 /2

= 3.5cm.

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Answer:

1=137 2=43 3=137 4=43 5=137 6=43

Step-by-step explanation:

0.2889 is approximately the area to the right of 0.57 under the t-distribution with 17 degrees of freedom.

Using statistical software or a t-distribution table, we can find that the area to the left of 0.57 under the t-distribution with 17 degrees of freedom is approximately 0.7111.

To find the area to the right of 0.57, we need to subtract the area to the left of 0.57 from 1

Area to the right of 0.57 = 1 - 0.7111 = 0.2889

Rounding this to 4 decimal places gives us a final answer of 0.2889. Therefore, 0.2889 is approximately the area to the right of 0.57 under the t-distribution with 17 degrees of freedom.

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Answer:

33

Step-by-step explanation:

For every 5 squares, two are red and three are green.  So 3/5 of the squares are green.

3/5x55=33

Answer:

8x-29y Sorry if wrong!

Step-by-step explanation:

You have to distribute first and then combine like terms.

Answer:

8x-29y

Step-by-step explanation:

You have to distribute first and then combine like terms.

And that is where you get your answer.

Hope this helps.

Answer:

28 yards

Step-by-step explanation:

It's perimeter so you add (6x2)+(8x2)

The x2 is because there's 2 of each side

Answer:

The answer is 12

Step-by-step explanation:

Answer:

m = 1/2

Step-by-step explanation:

As we move from M to N, the x-coordinate increases from -6 to 2, a jump ('run') of 8 units.  Likewise, the y-coordinate increases from 1 to 5, a jump of 4 units.  The slope of the line passing through these two points is thus

m = rise / run = 4/8 = 1/2

A linear equation representing the data in table is t(n) = 12x + 23.

The missing values in table should be completed as follows;

n            t(n)

4             71

5             83

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

m represents the slope.

x and y are the data points.

Next, we would determine the linear equation representing the data in table which passes through the points (1, 24) and (2, 36) by using the point-slope form as follows:

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - 24 = (36 - 24)/(2 - 1)(x - 1)

y - 24 = 12(x - 1)

y = 12x - 1 + 24

y = t(n) = 12x + 23

When the value n = 4, the value of t(n) can be calculated as follows;

t(4) = 12(4) + 23

t(4) = 71.

When the value n = 5, the value of t(n) can be calculated as follows;

t(5) = 12(5) + 23

t(5) = 83.

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Answer:

  C. 45 × 45

Step-by-step explanation:

You want to know the expanded form of 45 squared.

A square is signified by an exponent of 2:

  45 squared = 45²

The exponent tells you the number of times the base appears as a factor in the product:

  45² = 45 × 45 . . . . . . . 45 is a factor 2 times in the product

__

Additional comment

The value "45 squared" is the area of a square of side length 45.

The value "45 cubed" is the volume of a cube of side length 45.

Answer:

Step-by-step explanation:

10/100*132

Answer:

Step-by-step explanation:

The formula of C.P is Selling Price - Profit

Here the S.P. =132

Profit = 10%

Converting 10% = 10/100*132

                             = 13.2

Putting values into Formula :

132-13.2 = 118.8

so, the answer is 118.8

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Solving the system of equations we can see that:

We can define the variables:

x = price of a Douglas Fir trees

y = price of a Noble Fir trees.

By using the given information we can write:

6x + 16y = 986

6x + 24y = 1368

That is our system of equations

If we take the second equation and we subtract the first one we get.

(6x + 24y) - (6x + 16y) = 1368 - 986

8y = 382

y = 382/8 = 47.75

now that we know the value of y, we can find the value of x using the first equation.

6x + 16y = 986

6x = 965 - 16y

x = (965 - 16y)/6

x = (965 - 16*47.75)/6 = 33.5

So:

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Answer:

A

Step-by-step explanation:

6 times 9 times 3 = 162

The total fixed costs for the event amount to £2,800, which includes the security costs and the cost of the main band. Fixed costs are expenses that do not change with the number of attendees or sales.

To calculate the total fixed costs for the event, we need to identify the costs that do not change with the number of attendees. Based on the given information, the fixed costs include the security costs and the cost of the main band. Let's break it down:

Security costs: The security costs of £300 are fixed and do not depend on the number of attendees. This means the cost remains the same regardless of how many tickets are sold.

Cost of the main band: The cost of the main band is £2,500. Similar to the security costs, this cost is fixed and does not vary based on the number of attendees.

Therefore, the total fixed costs for the event would be the sum of the security costs and the cost of the main band:

Total Fixed Costs = Security Costs + Cost of Main Band

Total Fixed Costs = £300 + £2,500

Total Fixed Costs = £2,800

However, it's important to note that the cost of the supporting band, ticket prices, and the cost of the water bottles are not fixed costs. The cost of the supporting band and the cost of the water bottles are variable costs as they depend on the number of attendees. The ticket prices represent revenue, not costs.

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Answer:

yes they both form a proportion

Answer:

yes

Step-by-step explanation:

its called an isoceles triangle

Answer:

no

Step-by-step explanation:

The third side must be less than the sum of the other two sides

5+5> the third side

10 > third side

Since the third side is 10 we cannot build a triangle

a. Vertical rise of the inclined plane= 519.35 ft

b.  Elevation of the lower end of the inclined plane=1174.15 ft

c.  The rate at which they rise vertically is 173.78 ft/min

What is unit rate?

A unit rate is the cost for only one of anything. This is expressed as a ratio with a denominator of 1. For instance, if you covered 70 yards in 10 seconds, you did so at an average speed of 7 yards per second. Although both of the ratios—70 yards in 10 seconds and 7 yards in one second—are rates, only the latter is a unit rate.

a. Since the length of the incline = 896.54 ft, and the angle of the incline = 35.4°. Let h be the vertical rise of the incline. From trigonometric identities,

sin35.4° = h/896.54 ⇒ h = 896.54sin35.4° = 519.35 ft

b. Since the top of the incline is 1693,5 ft above sea level, and the vertical height of the incline is 519.35 ft, the elevation of the lower end of the inclined plane is 1693.5ft - 519.35ft = 1174.15 ft

c. The cars move up the mountain at a rate of 300 ft/min along the inclined plane. The rate at which they rise vertically is the vertical component of the velocity = 300sin35.4° ft/min = 173.78 ft/min

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Answer:

± \(\frac{3}{8}\)

Step-by-step explanation:

\(\sqrt{\frac{9}{64} }\)

= ± \(\frac{\sqrt{9} }{\sqrt{64} }\)

= ± \(\frac{3}{8}\)

Answer:

-4/3 belongs to the set of real numbers

Answer:

The length of the missing side is 7.5

Step-by-step explanation:

let the missing side be x

\( {9.9}^{2} = {6.5}^{2} + {x}^{2} \)

98.01 = 42.25 + x^2

x^2 = 98.01 - 42.25

x^2 = 55.76

\( \sqrt{x {}^{2} } = \sqrt{55.76} \)

x = 7.5 or 7.47

A. No, because two points with the same x-value have different y

Answer:

https; wwwcom...//

Step-by-step explanation:

and hope it's help

The number line that represents the solutions to 5x + 41 = 2 is equal to -39/5.

Integers are arranged at equal intervals along horizontal straight lines called number lines. A number line can be used to represent every number in a series. The endpoints of this line go on forever. Some will have a defined beginning and end which is refers to those as closed number lines. Number lines should be alternatively left empty or blank. A number ladder is a vertical number line.

We are given that the equation as;

5x + 41 = 2

Solving for x;

5x + 41 = 2

5x = 2 - 41

5x = -39

x = -39/5

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Answer:

Step-by-step explanation: You have to split the shape up into smaller shapes

Answer:

27 m^2

Step-by-step explanation:

Area of first rectangle:

5 * 1 = 5

Area of second rectangle:

7 * 1 = 7

Area of third rectangle:

5 * 3 = 15

The addition of each area:

5 + 7 + 15 = 27

This means that the area of this figure is 27 m^2

Answer:

78

Step-by-step explanation:

102+x=180

x=180-102

x=78

Answer:

for math problems you right out how you solved the problem but for other problems you can backspace the step by step bit on brainly

Answer:

to do step by step explanation, you have to prove your answer with steps.