If the area of a circular cricket ground is 15,400 m2, then find its circumference. (Take π≈22/7)

Answer:

a)  0.905 (3 dp)

Step-by-step explanation:

Binomial distribution X ~ B(n, p)

where n is the the number of trials and p is the probability of success

Binomial formula:

[tex]P(X=x)=\left(\left\begin{array}{cc}n\\x\end{array}\right) \cdot p^x \cdot (1-p)^{n-x}[/tex]

Given:  X ~ B(100, 0.001)

Therefore, n = 100 and p = 0.001

Substituting these values into the binomial formula and solving for x = 0:

[tex]\implies P(X=0)=\dfrac{100!}{0!100!} \cdot 0.001^0 \cdot (1-0.001)^{100-0}[/tex]

[tex]\implies P(X=0)=1 \cdot 1 \cdot 0.999^{100}[/tex]

[tex]\implies P(X=0)=0.9047921471...[/tex]

[tex]\implies P(X=0)=0.905 \ \sf(3 \ dp)[/tex]

Answer:

Option C

-3(x² + 2x) + 4x(x + 3) – 3x

Step-by-step explanation:

-3(x² – 2x) + 4x(x + 3) – 12x

-3x² + 6x + 4x² + 12x – 12x

4x² – 3x² + 6x + 12x – 12x

x² + 6x

Here, The answer is x² + 6x but our required answer is x² + 3x. So, option a is not the answer.

3(x² + 2x) – 4x(x – 3) + 3x

3x² + 6x – 4x² + 12x + 3x

3x² – 4x² + 12x + 3x + 6x

-x² + 21x

Here, The answer is -x² + 21x but our required answer is x² + 3x. So, option b is not the answer.

-3(x² + 2x) + 4x(x + 3) – 3x

-3x² – 6x + 4x² + 12x – 3x

4x² – 3x² – 6x + 12x – 3x

x² + 3x

Here, The answer is x² + 3x and our required answer is x² + 3x. So, option c is the answer.

Thus, The correct answer is option c.

Answer: 20.4% decrease

Step-by-step explanation:

First, find how many fewer cats were adopted out this year: 1,526 - 1214 = 312.

Now, find what percent of 1,526 312 is: 1,526 * x = 312 → x = .204 * 100 = 20.4% :)

Answer:

The answer is yes, because 2 × 10⁶ < 18,400,000, human can distinguish pixels on a same-sized HDTV.

Step-by-step explanation:

Step 1:2⋅10⋅10⋅10⋅10⋅10⋅10 = 20⋅10⋅10⋅10⋅10⋅10 = 200⋅10⋅10⋅10⋅10 = 2,000⋅10⋅10⋅10 = 20,000⋅10⋅10 = 200,000⋅10 = 2,000,000​Step 2:Because 2 × 10⁶ < 18,400,000, human can distinguish pixels on a same-sized HDTV.

Answer:

60 degrees

Step-by-step explanation:

well, angle x is on a line with a little square that means 90 degrees and a 30 degree angle, so you would simply add those two angles together 90+30=120 and then subtract by 180 because a straight line is always 180 degrees which is 180-120=60 degrees.

point grab lol

Answer:

The answer is

→ 1.5 or 10x = 15

Step-by-step explanation:

Since 10x + 6 = 21 and we supposed to find what 15 is, we would have to use these steps;

First subtract 6 on both sides

10x + 6 - 6 = 21 - 6

= 10x = 15

Another way I know the other answer is by multiplying 10 by 1.5 which equals 15.

If the two cylinders are similar, that means that the ratio between the diameter and the height will be the same in both solids.

In the bottom cylinder, we have a ratio of 3ft to 12ft. This is a ratio of 3:12, or 1:4, where the 1 is the height and 4 is the diameter.

The top cylinder has a height of 8 inches, meaning that the 8 corresponds to the 1 in the ratio. Thus, we can set up the equation like this:

[tex]\frac{1}{4} =\frac{8}{x}[/tex]

To get from 1 to 8, we have to multiply by 8. But because we don't want to change the ratio, we have to multiply the denominator by 8 as well:

[tex]\frac{1}{4}*\frac{8}{8}=\frac{8}{32}[/tex]

That means the top cylinder has a diameter of 32. But we can't forget our units. Because we used 8 inches in our ratio, that means the diameter is 32 inches.

Answer:

a = 4 b = 2 c = 6

Step-by-step explanation:

4 + b = c

b & c are any even numbers between 2 and 9 (2, 4, 6, 8)

c > 4 ( 6, 8)

b < 6 (2, 4)

b can't be the same number, so b is 4 meaning c is 6

Answer:

b=2, c=6

Step-by-step explanation:

Answer:

the answer is c

Step-by-step explanation:

y = 5x

as it says x + y = 10

so one number which is represented as x is times 5 as the other which brimg to our answer y =5x

Answer:

3.9

Step-by-step explanation:

Use the formula A = πr^2  (area of a circle = Pi times radius squared)

Plug in what we know:

48 = πr^2  (first, divide 48 by Pi = that would equal 15.27887 continued, round it to the nearest tenth and you would get 15.3)

15.3 = r^2 (now, we find the square root of 15.3, 3.9115 continued, round it to the nearest tenth, and it will be 3.9)

3.9 = radius

The radius of the circle (rounded to the nearest tenth) is 3.1.

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.

And the general formula of the circle,

(x – h)²+ (y - k)² = r²,

where (h, k) is the center and r is the radius of the circle.

The formula for the area of a circle is A = πr², where A is the area and r is the radius.

We can use this formula to solve for the radius of the circle with an area of 48:

A = πr²

48 = πr²

Dividing both sides by π gives:

r² = 48/π

Taking the square root of both sides gives:

r = √(48/π)

r ≈ 3.1

Therefore, r ≈ 3.1.

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Answer:

#12=442

#13=560

#14=918

Step-by-step explanation:

26x17=442

28x20=560

27x34=918

Answer:

Step-by-step explanation:

I will answer only a few

12.) the area of a triangle is half its base times its height

[tex]\frac{1}{2} *17 * 26[/tex]

= 17 * 13

= 221

13.) 1/2 * 20 * 28

= 10 * 28

=280 cm^2

Answer: C

Step-by-step explanation:

Answer:

A) 15

B) 57

C) 7

D) 19

Step-by-step explanation:

a) 3x+y^2=

  Insert the values

   3(2) + 3^2

   6+9 (3^2 = 3 x 3 = 9)

    = 15

b) 3x^2+5y^2=

   Insert the values

   3(2)^2 + 5(3)^2

   3(2^2 = 2 x 2 = 4) + 5(3^2 = 3 x 3 = 9)

    3(4) + 5(9)

     12+ 45

    = 57

c) 2x+y

   insert the values

   2(2) + 3

    4 + 3

    = 7

d) 5y+x^2=

    Insert the values

    5(3)+ 2^2

     15 + (2^2 = 2x2 = 4)

      15+4

       = 19

Answer:

A:

18.5% 

B:

124 / 205

C:

75 / 113. 66.4% Strongest 

49 / 92. 53.2% Middle

38 / 81 46.9% Weakest

75  / 113 is the strongest because it has the highest percentage fore the  conditional relative frequencies. The others are weaker because they have as high of a percentage.

Step-by-step explanation:

The answers are shown below:

A conditional relative frequency compares a frequency count to the marginal total that represents the condition of interest.

a) Out of 205 people, 38 like neither, hence:

Percentage= 38/ 205 *100= 18.54%

b) Out of the 205 participants, 205 - 81 = 124 like hamburgers, hence:

= 124 / 205

=0.6049

c)The table is, dis considering the totals:

49 - 43

75 - 38

Due to the higher total, the data that has the strongest association of its two factors is liking hamburgers and not liking burritos.

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Answer:

1222 ft^2

Step-by-step explanation:

2(13x9) + 2(5x12) + 2(4.5x9) + 2(9x11) + 2(19x11) + (19x9)

Using a quadratic function, it is found that:

a) It hits the ground after 2 seconds.

b) Your friend's stick hits the ground 0.83 seconds later.

It is given by:

[tex]s(t) = -16t^2 + v(0)t + h(0)[/tex]

In which:

Item a:

Dropped at rest from a height of 64 feet, hence v(0) = 0, h(0) = 64, so the equation is:

[tex]s(t) = -16t^2 + 64[/tex]

It hits the ground when s(t) = 0, hence:

-16t^2 + 64 = 0

t^2 = 4

t = 2.

It hits the ground after 2 seconds.

Item b:

For your friend, we have that h(0) = 144, hence:

-16t^2 + 144 = 0

t^2 = 8.

t = 2.83.

2.83 - 2 = 0.83.

Your friend's stick hits the ground 0.83 seconds later.

More can be learned about quadratic functions at https://brainly.com/question/24737967

Answer:

45

Step-by-step explanation:

Answer:

A quotient is the number we get when we divide one number by another.

for example

8 ÷ 4 = 2. In this case, the number 2 will be the quotient since it is the result we got when we divided 8 and 4.

I'm going to assume that "1,457 . 47 =" was meant to have a division sign, if that is the case then the answer is B 31.

Sorry but no speek English

Answer:

3 and 4

Step-by-step explanation:

3.5 ounces is 7/2 so if they eat the same amount they would both eat 3.5 ounces.

Answer:

36:24

Step-by-step explanation:

The second number was :24, and you started out with 6:4.

To get the 24, you would have to multiply the 4 by 6 to get the 24.

So, multiply the first number 6, as well by 6.

6 x 6 = 36

36:24

:)

Answer: 36

Step-by-step explanation: 6:4 = __:24

1. 4 goes into 24, 6 times because 4x6=24 so you have to multiply 6 to 6 and 6x6=36.

Answer: 12 outcomes

Step-by-step explanation:

When you flip a coin there are two possible outcomes (heads or tails) and when you roll a die there are six outcomes(1 to 6). Putting these together means you have a total of 2×6=12 outcomes.

Answer: 2194.00 and 2194.000

Step-by-step explanation: rounded to the nearest 1000= 2194.000

rounded to the nearest 100 = 2194.00

Answer:

x = 41.16

Step-by-step explanation:

Answer:

x=41.2

Step-by-step explanation:

Assuming that the dotted line and the vertical line form a 90 degree angle, we can find the angle measurements of the triangle.

Since there is a 90 degree angle formed between the dotted line and the vertical line, subtracting 27 from 90 will get us the angle measure of one of the vertex of the triangle.

90-27=63 degrees

Now we can use trig. ratios to help us figure out the missing side.

tan(63)=x/21

x=tan(63)*21

x=41.21482062

x=41.2

Hope this helps!!!

Answer: Yes

Step-by-step explanation:

If you draw the altitude of an isosceles triangle from the vertex angle, then the two triangles formed are congruent, meaning the base angles are congruent  by CPCTC.

Yes, the base angles of an isosceles triangle are congruent because in n isosceles triangle two of its sides are always congruent, and also angles opposite to congruent sides are congruent.

An isosceles triangle is a triangle that has at least two sides of equal length.

When an altitude is drawn to the base of the isosceles triangle, it bisects the vertex angle. As it bisects the base, the two congruent triangles are created.

Hence, Yes, the base angles of an isosceles triangle are congruent because in n isosceles triangle two of its sides are always congruent, and also angles opposite to congruent sides are congruent.

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Answer:

1,750

Step-by-step explanation:

35x50 that's the entire process

Answer:

184

Step-by-step explanation:

80% of 230

0.8x230

8×23

=184

The functions y = -4sin (x) and y = 4sin (x) has the given properties.Functions help to define the relationship between the independent and the dependent variable.

A expressions defining a connection between the independent variable and dependent variable is known as the functions.

A feature that:

The domain is defined as the set of all real numbers.

a single x-intercept

The amplitude is four.

The y-intercept is defined as (0,0)

Because the specified function goes through the functions having "cosine," the functions containing "cosine" can be omitted from the selections (0,0). As a result, we have two options:

Hence  y = -4sin (x) and y = 4sin (x) has the given properties.

To learn more about the function refer to the link;

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Answer:

A) y = -4sin(x)

Step-by-step explanation:

Just took the quiz on edge 2022

Answer:

5 in

Step-by-step explanation:

The area of a composite shape: area of the bigger shape - the area of the smaller shape.

In this case, the bigger shape is the shaded region, and the smaller shape is the unshaded region.

1) Shaded region (bigger shape): 2(area of a trapezium) + area of the rectangle.

Area of a trapezium: 1/2 x (a + b) x h, where a and b are parallel lines and h is the height. We have to times the answer by 2 because there are two trapeziums in the shaded region.

Area of a rectangle: l x w, where l is the length and w is the width.

Trapeziums

= 1/2 x (3 + 8) x 5.5 x 2

= 1/2 x 11 x 5.5 x 2

= 1/2 x 60.5 x 2

= 30.25 x 2

= 60.5

Rectangle

= 14 x 3

= 42

Area of the shaded region (bigger shape): trapezium + rectangle

= 60.5 + 42

= 102.5

2) Unshaded region (smaller shape):

Area of a trapezium: 1/2 x (a + b) x h, where a and be are the parallel lines.

= 1/2 x (14 + 25) x 5

= 1/2 x 39 x 5

= 1/2 x 195

= 97.5

3) Area of the bigger shape - the area of the smaller shape

= 102.5 - 97.5

= 5 in²

Answer:

y = 24

Step-by-step explanation:

We need to double the x value by 2 and when we do that we will get the y value .

12 x 2 = 24

Have an amazing day!!

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Answer:

y = 6

Step-by-step explanation:

Since x and y vary inversely, we have:

xy=k

For x= 5 and y = 12, we have:

⇒  5×12=k

⇒  k= 60

For x= 10, we have :

⇒  10y = 60

y = 60/10

y = 6

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