Find the theoretical probability that the spinner below lands on the letter B. Write your answer as a fraction in simplest form. Use "/" for fractions with no s

Answer:

1.6 ft.

Step-by-step explanation:

Given that the conical pylons had a radius (r) of 1 foot and a height (h) of 2 foot. The volume of the conical pylons is:

Volume = πr²h/3

Therefore substituting gives:

Volume = π(1)²(2)/3 = 2π/3 ft³

Since the same amount of concrete is used to construct a spherical barrier, hence the volume of the sphere would be the same as the volume of the conical pylon.

Volume of sphere = 4πr³/3

4πr³/3 = 2π/3

2r³ = 1

r³ = 1/2 = 0.5

r = ∛0.5 = 0.8 ft.

Therefore the radius of the spherical barrier would be 0.8 ft. and the height would be 2r = 2(0.8) = 1.6 ft.

Answer:

43

Step-by-step explanation:

we have two rectangles so we will divide them into 2.

first rectangles is 7m and 4m. 7 x 4 = 28

2nd rectangles is 3m and 5m 3 x 5 = 15

15 + 28 = 43.

Answer:

I only know number 11 sorry :(

11. (Image attached)

Step-by-step explanation:

First, I would find the y intercept, which is 4. Next I found the slope of -3 by finding the rise of -3 (3 to left), then the run (1 up).

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Have a good day :)

Answer:

width is 79 m

Step-by-step explanation:

P = 2l + 2w

344 = 2(93) + 2w

344 = 186 + 2w

158 = 2w

w = 158/2

w = 79

Answer:

24

Step-by-step explanation:

4x(8-2)

=4x6

=24

Answer:

[see below]

Step-by-step explanation:

[tex]3(x+y)\\\\3(2+7)\\\\3(9)\\\\\boxed{27}[/tex]

Hope this helps!

Answer:

27

Step-by-step explanation:

plug in what = x and y in the parenthisis

so that would be 3(2+7)

you do what is in the parentheisis first 2+7= 9

then you multiply  3*9=  27

Ruben spends $32.5 on 6 package of peanuts and 10 hotdogs.

In mathematics, a system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.

Given that, 3 packages of peanuts and 4 hotdogs costs for a total of $14.50 and 1 package of peanuts and 6 hotdogs costs for $13.00.

Let p = packet of peanuts and h = hotdogs

Establishing the system of linear equations to find the cost of one each,

3p + 4h = 14.50.............(i)

p + 6h = 13

p = 13 - 6h........(ii)

Put eq (ii) in the eq(i)

3(13-6h) + 4h = 14.50

39 - 18h + 4h = 14.50

-14h = -24.5

h = 1.75

Put h = 1.75 in eq(ii)

p = 13 - 6(1.75)

p = 2.5

Hence, the cost of 1 packet of peanut is $2.5 and 1 hotdogs costs $1.75

Therefore, 6 package of peanuts and 10 hotdogs will costs =

6(2.5) + 10(1.75) = 15 + 17.5 = $32.5

Hence, Ruben spends $32.5 on 6 package of peanuts and 10 hotdogs.

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Answer:

a) 2x + 6y + 7x

9x + 6y

b) 3a + 8b + 5a

8a + 8b

c) 6u + 3v - 2u

4u + 3v

d) 9p + 8q - p

8p + 8q

e) 2m + 5n + 4m + 3n

6m + 5n + 3n

6m + 8n

f) 6u + 9v + u + 3v

12v + 6u + u

12v + 7u

g) 8b + 7c + 3b - 2c

8b + 3b + 5c

11b + 5c

h) a + 2b + a - b

2a + 2b - b

2a + b

i) 5a + 2b - 5a + 6b

8b + 5a - 5a

8a

h) 9p + 3q - 2p - 3q

7p + 3q - 3q

7p

Answer:

10 Sorry if wrong!

Step-by-step explanation:

40×0.25=10

Answer:

25/100 x 40 = 10

Step-by-step explanation:

The keyword 'of' means multiplication

Consider a percent out of 100, a way to remember is that the root word 'cent' means 100.

Answer:

64 inches sq

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

1/3n-3÷6

Step-by-step explanation:

3 is subtraced form 1/3

Answer:

n < 27

Step-by-step explanation:

1/3n - 3

1/3n - 3 < 6

Add 3 to each side.

1/3n - 3 + 3 < 6 + 3

Combine like terms.

1/3n < 9

Divide each side by 1/3.

1/3n ÷ 1/3 < 9 ÷ 1/3

Combine like terms.

n < 27

Answer:

25.08

Step-by-step explanation:

330 x .076=25.08

Answer:

The dot plot shows that most planes fly below the optimal cruising speed. This means that the airline isn’t being as efficient as it can be. So, the manager needs to have a discussion with the pilots to determine why they aren’t reaching the optimal cruising speed or check the planes to make sure everything is running at full capacity.

Step-by-step explanation:

the answer that is given on edmentum

Answer:

300

Step-by-step explanation:

The volume of the gas varies inversely as the pressure

V= k/p

K= VP

= 1200×200

= 240,000

Therefore the volume when the pressure is 800

K= VP

240000= V×800

V= 240000/800

= 300

Hence the volume is 300 cubic centimeters

Answer:

n(A) + n(B) - n(AnB) = n(AUB)  

12 + 7 - n(AnB) = 10

19 - n(AnB) = 10

19 - 10 = n(AnB)

n(AnB) = 9

Step-by-step explanation:

Step-by-step explanation:

n(A)=12

n(B)=7

n(AUB)=10

n(AnB)=?

let,n(AnB) be x

We know that,

or, n(AUB) = n(A)+n(B)-n(AUB)

or, 10 =12+7+x

or, 10 =19+x

or, 10-19=x

or,9=x

so, the value of x is 9

then (AnB)=9

Answer:

15 days

Step-by-step explanation:

Don't you mean 1/3?  If so,

 5 cans

-------------------- = 15 days

1/3 can/daily

9514 1404 393

Answer:

  ac

Step-by-step explanation:

The length of the base is the x-distance between E and H, so is ...

  base = a - 0 = a

The height is the y-distance between E and F, so is ...

  height = c - 0 = c

The area of the parallelogram is the product of base and height.

  A = base×height

  A = a×c

The area of the parallelogram is ac.

Answer:

The probability he rolls a 2 or lower and the coin lands on heads is 16.66%.

Step-by-step explanation:

Since Kane rolls a dice and flips a coin at the same time, to determine what is the probability he rolls a 2 or lower and the coin lands on heads the following calculation must be performed:

Given = 6 sides = 2/6

Coin = 2 sides = 1/2

2/6 x 1/2 = X

0.333 x 0.5 = X

0.1666 = X

0.1666 x 100 = 16.66

Therefore, the probability he rolls a 2 or lower and the coin lands on heads is 16.66%.

Answer:

                          Have a cat         Do not have cat

Have a dog                 7                            5

Do not have a dog      6                            0

Step-by-step explanation:

                                           Have a cat   Do not have a cat

Have a dog                              7                 5

Do not have a dog                     6               0

The interesection of the two circles represents the number of patrons that have both dogs and cats. The number in the circle that represents the number of people that have dogs only is 5 and the number in the circle that represents the number of people that have cats only is 6.

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Answer:

x^2+(4-1)x-4=0

x^2+4x-x-4=0

x(x+4)-1(x+4)=0

(x-1)(x+4)=0

either (x-1)=0                                   Or,(x+4)=0

x-1=0

x=0+1

x=1

x+4=0

x=0-4

x=-4

therefore x=-4,1

Step-by-step explanation:

The required solutions for x are x₁= 1 and x₁= -4, and we can write them from least to greatest as -4, 1.

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

To solve for x in the quadratic equation x² + 3x - 4 = 0, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation (ax² + bx + c = 0).

In this case, a = 1, b = 3, and c = -4, so we have:

x = (-3 ± √(3² - 4(1)(-4))) / 2(1)

x = (-3 ± √(25)) / 2

x = (-3 ± 5) / 2

x₁ = (-3 + 5) / 2 = 1

x₂ = (-3 - 5) / 2 = -4

Therefore, the solutions for x are x₁= 1 and x₁= -4, and we can write them from least to greatest as -4, 1.

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Answer:

324.13°

Step-by-step explanation:

Applying,

cosA = 4/5

To find the value of A, we find the inverse of the cosine of both side,

(cosA)cos⁻¹ = cos⁻¹(4/5)

A = cos⁻¹(0.8)

A = 36.87° (First quadrant)

The above value of A is its value in the first quadrant

To find the value of A in the fourth quadrant, we use the expression

∅₄ = 360-∅₁............... Equation 1

Where ∅₄= value of A in the fourth quadrant, ∅₁ = value of A in the first quadrant.

Therefore,

∅₄ = 360-36.87

∅₄ = 324.13°

Hence the value of A in the fourth quadrant is 324.13°

Answer:

Let's make both of them have a common denominator since we can't just identify by the looks of it.

2 x 4 =  8

          ___

5 x 4 = 20

11/20 > 8/20

11/20 is bigger.

Answer:

$5 for a dog treat

$3 for a cat treat

Step-by-step explanation:

week 1: 6d + 4c = 42

week 2: 2d + 7c = 31

*used calculator & guessed what each treat costs*

WEEK 1:

6(5) + 4(3) = 42

30 + 12 = 42

42 = 42

WEEK 2:

2(5) + 7(3) = 31

10 + 21 = 31

31 = 31

Answer:

20

Step-by-step explanation:

6×2=12 + 8 = 20

so you answer for number 3 is twenty

Answer:

free

Step-by-step explanation:

points .-.

Hi there!

[tex]\large\boxed{AC \approx 483 ft}}[/tex]

AC is the hypotenuse, so we can use a trig formula to solve.

We are given the adjacent side, AB, so we must use cosine. Recall that:

cosθ = A/H

Thus:

cos(21.3) = 450 / H

Rearrange:

H = 450 / cos(21.3)

Use a calculator to evaluate:

H = 482.99 ≈ 483 ft.

Answer:

AC ≈ 483

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos21.3° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{450}{AC}[/tex] ( multiply both sides by AC )

AC × cos21.3° = 450 ( divide both sides by cos21.3° )

AC = [tex]\frac{450}{cos21.3}[/tex] ≈ 483 ( to the nearest whole number )