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3 years ago

13

Every new customer at the Burger Barn qualifies to receive a free whistle. The bag of whistles has 9 black ones, 6 red ones, 7 g

reen ones, 10 pink ones, and 4 purple ones.
What is the probability the next customer will receive a red one?

1 answer:

Valentin [98]3 years ago

3 0

1/36 is the probability of receiving a red one <span />

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A piece of wire of length L will be cut into two pieces, one piece to form a square and the other piece to form an equilateral t

inn [45]

Answer:

(a) square: L; triangle: 0.

(b) square: L·(-16+12√3)/11; triangle: L·(27-12√3)/11

Step-by-step explanation:

<u>Strategy</u>: First we will write each area in terms of its perimeter. Then we will find the total area in terms of the amount devoted to the square. Differentiating will give a way to find the minimum total area.

__

In terms of its perimeter p, the area of a square is ...

A_square = p^2/16

In terms of its perimeter p, the area of an equilateral triangle is ...

A_triangle = p^2/(12√3)

Then the total area of the two figures whose total perimeter is L with "x" devoted to the square is ...

A_total = x^2/16 + (L-x)^2/(12√3)

__

(a) We know when polygons are regular, the one with the most area for the least perimeter is the one with the most sides. Hence, the total area is maximized when all of the wire is devoted to the square.

__

(b) The derivative of A_total with respect to x is ...

dA/dx = x/8 -(L-x)/(6√3)

This will be zero when ...

x/8 = (L-x)/(6√3)

x(6√3) = 8L -8x

x(8 +6√3) = 8L

x = L·8/(6√3 +8) = 8L(6√3 -8)/(64-108)

x = L·(12√3 -16)/11

The total area is minimized when L·(12√3 -16)/11 is devoted to the square, and the balance is devoted to the triangle.

5 0

3 years ago

Jeremy was 45 inches tall when he started kindergarten. He grew an average of 2.5

Pepsi [2]

Answer:

subtraction

Step-by-step explanation:

its subtraction because if you do 62.5-2.5 it = 60 and then 60-2.5=57.5 57.5-2.5=55 55-2.5=52.5 52.5-2.5=50 50-2.5= 47.5 47.5-2.5 = 45 s so it was 7 or 8 years ago idk count them see how many times i did it

3 0

3 years ago

Sebastian swam laps every day in the community swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks. In th

lord [1]

Answer:

$\text{Average rate}=\frac{\text{40 laps}}{\text{ hour}}$

Step-by-step explanation:

Please consider the complete question.

Sebastian swan laps every day in the community swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks. In that time, he swam 1800 laps. What was his average rate in laps per hour?

Let us convert time taken into hours as:

$\text{Days}=5\times 12=60$

$\text{Minutes}=60\times 45$

1 hour = 60 minutes. To convert minutes into hours, we will divide total minutes by 60.

$\text{Hours}=\frac{60\times 45}{60}=45$

Now, we will divide 1800 by 45 to find average rate in laps per hour as:

$\text{Average rate}=\frac{\text{1800 laps}}{\text{45 hours}}$

$\text{Average rate}=\frac{\text{40 laps}}{\text{ hour}}$

Therefore, Sebastian's average rate is 40 laps per hour.

6 0

2 years ago

Factor each polynomial. check your answer. <br> 12x^4 - 8x^3 - 4x^2

tekilochka [14]

Answer:

2x^2(3x^2-2x-1)

Step-by-step explanation:

12x^4 - 8x^3 - 4x^2

everything is a multiple of 4 so divide the whole thing by 4

12x^4 - 8x^3 - 4x^2/4= 3x^4-2x^3-1x^2

write it in disturbed form

2(3x^4-2x^3-1x^2)

now if u see we can see that the X will be same, so we also have to factor it out and 2 is the exponent that all can give

2x^2(3x^2-2x-1)

7 0

3 years ago

Read 2 more answers

Find the zeros of the quadratic function f(x) = 2x2 - 8x + 6 from the graph

Assoli18 [71]

Answer: X=3,1

The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x

Step-by-step explanation: Have a nice day

5 0

3 years ago