A random variable, X, is defined for the number of times a coin lands on heads when flipped 4 times. The probability distribution is below.

X 0 1 2 3 4
P(X) 1/16 4/16 6/16 4/16 1/16
What is the expected value for the number of heads you expect after 4 coin flips?

Answer:

C 720`

Step-by-step explanation:

The sum of the interior angles of the hexagon is S = 720°

The sum of the interior angles of a polygon is given by the formula

Sum of Interior angles of a polygon with n sides is

nθ = 180 ( n - 2 )

where n is the number of sides

θ = angle in degrees

Given data ,

Let the sum of the interior angles of a hexagon be S

Let the polygon be represented as a hexagon

Now , the number of sides of a hexagon is n = 6

So , sum of Interior angles of a polygon with n sides is

nθ = 180 ( n - 2 )

On simplifying , we get

nθ = S = 180 ( 6 - 2 )

S = 180 x 4

S = 720°

Therefore , the value of S is 720°

Hence , the sum of the interior angles of hexagon is 720°

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Answer:

I think it's TRUE

Since they're congruent triangles according to the given.

Answer:

A line that is tangent to each of the two coplanar circles

Step-by-step explanation:

Answer:

i believe its 6 units

Step-by-step explanation:

this is because you can slip the triangle into two different triangles and then find both their areas and combine them

Answer:

c is the answer

Step-by-step explanation

Answer:

Perimeter, [tex]P=\dfrac{2}{5}(5x+14)[/tex]

Step-by-step explanation:

We have, a hand woven rectangular rug measures x ft long and [tex]2\dfrac{4}{5}\ ft[/tex] wide. For a rectangular shaped object, perimeter is equal to the sum of all sides. If l is length and b is width, then

Perimeter, [tex]P=2(l+b)[/tex]

We have, l = x ft and b = [tex]2\dfrac{4}{5}\ ft=\dfrac{14}{5}\ ft[/tex]

So,

[tex]P=2(x+\dfrac{14}{5})[/tex]

or

[tex]P=\dfrac{2}{5}(5x+14)[/tex]

Answer:

work is pictured and shown

Answer:

x=3

Step-by-step explanation:

Simplifying

2(6x + 9 + -3x) = 5x + 21

Reorder the terms:

2(9 + 6x + -3x) = 5x + 21

Combine like terms: 6x + -3x = 3x

2(9 + 3x) = 5x + 21

(9 * 2 + 3x * 2) = 5x + 21

(18 + 6x) = 5x + 21

Reorder the terms:

18 + 6x = 21 + 5x

Solving

18 + 6x = 21 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.

18 + 6x + -5x = 21 + 5x + -5x

Combine like terms: 6x + -5x = 1x

18 + 1x = 21 + 5x + -5x

Combine like terms: 5x + -5x = 0

18 + 1x = 21 + 0

18 + 1x = 21

Add '-18' to each side of the equation.

18 + -18 + 1x = 21 + -18

Combine like terms: 18 + -18 = 0

0 + 1x = 21 + -18

1x = 21 + -18

Combine like terms: 21 + -18 = 3

1x = 3

Divide each side by '1'.

x = 3

Answer:

x=3

Step-by-step explanation:

(12x+18-6x)=5x+21

6x+18=5x+21

x+18=21

x=3

Answer:

22.5

Step-by-step explanation:

Answer:

22.5%

Step-by-step explanation:

I did it the easy way, all I did was divide 45 by 2 to get 22.5 which would be 22.5/100 and also 22.5%

Answer:

i think its 142

Answer:

the answer is

D

and the equation lays outside of the equation so she will not work for 5 hours and make 15 bracelets because it lays outside the region

Answer:

[tex]\frac{\pi r^2 }{2}[/tex]

Step-by-step explanation:

pi r ^2 is the formula for a circle, a semicircle is half of that.

The right answer is 9.

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment....

Answer:

x = 9

Step-by-step explanation:

→You can use the Pythagorean Theorem to solve:

[tex]a^2+b^2=c^2[/tex]

→The "a," and "b," are the legs, and the "c," is the hypotenuse. In this case, we are already given the hypotenuse as 41, and we are trying to find a leg:

[tex]40^2+b^2=41^2[/tex]

[tex]1600+b^2 = 1681[/tex]

→Subtract 1600 from both sides:

[tex]b^2=81[/tex]

→To get "b," by itself, square root both sides, like so:

[tex]\sqrt{b^2} =\sqrt{81}[/tex]

→81 is a perfect square meaning it has two factors that are identical.

[tex]b = 9[/tex]

Answer:

5 drinks will cost $15

Step-by-step explanation:

3 drinks cost $9, makes them 3 dollars each. So 5*3=15

Answer:hi the answer is 11.31

Step-by-step explanation:

all you have to do is find what 22% of 14.50 and of course the answer is 11.31

Answer:

It’s D

Step-by-step explanation:

Answer:

THE FUNCTION IS ALWAYS INCREASING.

Complete question: The graph of f(x)= power of 3√x + 8 is shown.

Step-by-step explanation:

See attachment for the missing graph.

when x = -16 ; y = -2

when x = -12 ; y = -1.5

when x = -8 ; y = 0

when x = -6 ; y = 1.25

when x = 0 ; y = 2

when x = 6 ; y = 2.5

As the value of x increases, so does the value of y. Thus, the function is always increasing. 

Answer:

D

Step-by-step explanation:

Answer:

the answer is d

Step-by-step explanation:

Answer:

5 (q + 13)

Step-by-step explanation:

collect like terms

5q + 5 - 5 + 65

5q + 65

5 (q + 13)

Answer:

5q+ 65

Step-by-step explanation:

3q+5+2q-5+65

We can only simplify since there is no equals sign

Combine like terms

5q+ 65+5-5

5q +65

Answer:

The mode is 80

Step-by-step explanation:

The number which appears most often in a set of numbers

Answer:

80

Step-by-step explanation:

Out of the 7 bars, three of them hit 80, two hit 50, and the other two hit 60.

50, 50, 60, 60, 80, 80, 80

80 appears most in the data set, so it is the mode.

Answer:

The answer is A.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since the measurements in meters are multiples of 4, it makes this problem a little easier.

First you divide 8 by 4 to get 2

Then divide 16 by 4 to get 4

After that you're going to multiply 3 units by both quotients separately.

So you multiply 3 by 2 to get 6

Then you multiply 3 by 4 to get 12

So then you end up with a 6 unit by 12 unit drawing.

therefore, the answer is

Answer:

B

Step-by-step explanation:

The area of the shaded sector is 54 pi units squared

The formula for calculating the area of a sector is expressed as:

[tex]A = \frac{\theta}{360} \times \pi r^2[/tex]

Given the following parameters

[tex]\theta = \pi/2\\r = 6units\\[/tex]

Substitute the given parameters into the formula

[tex]A=\frac{90}{360} \times \pi (6)^3 \\A = \frac{1}{4} \times 216\pi\\A = 54 \pi units^2[/tex]

Hene the area of the shaded sector is 54 pi units squared

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Answer:

139.20

Step-by-step explanation:

=160 - 0.13(160)

=160 - 20.80

=139.20

Answer:139.20

Step-by-step explanation:

Answer:

= 15mins 18 seconds. The storm chaser van drove 13.53 miles to catch up with the storm which obviously has moved less than 0.53 miles as it was same time but multiplied below by 0.5 per minute as speed per minute is 0.5 for the storm. See right at the end the storm only moved 1.11 mile.

Step-by-step explanation:

We count in 1 minutes

54 mph = 54/60 = 0.9 miles per minute

Storm = 13 m +  1 minute  is;

33/60 = 0.55 miles = 11/20

M = (16 7/10 * 9/10x) = ( 3 7/10 * 11/20y ) +13

M = 15 3/10x = ( 407/200y +13)       (407/200 = y starting value +13)

M = 15 3/10x =  15 3/10 = 16 7/10x (the same as 16 7/10* 9/10 for x)

M = 15 3/10 x = 15 3/10  = 15.03    

M = 16 7/10x  / 9/10y                      (is also the same as 186/1000)

X = 185⁄1000 = 37⁄200xy x 16 7/10  (as starting value)

7/10 of 60 = 42 minutes

3/10 of 60 = 18 minutes

x = 15 mins 18 seconds.

y = 15 mins  18 seconds.

as 0.005 left over for y 3/10 was actually 15.035 gives us 0.005 of 60 can not be rounded up to a second.

However as we started with 16mins and 7/10 we can see that we multiplied by 9/10 so when we divide 16 7/10 by 9/10 we find  185⁄1000 = 37⁄200

To equal the mileage of the storm of where we multiplied 3 7/10 by 17/10

= 37/200 just the same

We added 13 miles of the storm to find each was multiplied by the larger x sum 9/10 and y was multiplied  

As 35/200 + 13 =  

13 37/200  

37/200 of 60 = 11.1 = 11.06 minutes which is

= 15.04 % more for y as 13 + 2 mins + 06 seconds = 15.06 = 15.035

The percentage looks the same but valued different as 2 of 13 as a percentage is multiplied as 13 x 15.04%  to equal the 2 of 15 miles as 15.04%.

To find how many miles we go back and see 15.035 = 15 7/200

Then we multiply this by 0.9 miles for the storm van

= 15 7/200 x 0.9 = 13.5315 = 13.53 miles

For the storm itself we can prove 0.53  increase of mileage

417/200 x 0.53 = 1.10505 = 1.11 miles. rounded up

Answer:

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Step-by-step explanation:

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Answer:

They are not in proportion.

Step-by-step explanation:

Make two ratios:

8 : 3

15 : 6 = 5 : 2

They are not in proportion.

Answer:

Answer:

157

let g(4) = x

Answer:

(x + 5)² + (y - 4)² = 36

Step-by-step explanation:

The equation of a circle in standard form id

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (- 5, 4) and r = 12 ÷ 2 = 6 , thus

(x - (- 5))² + (y - 4)² = 6², that is

(x + 5)² + (y - 4)² = 36