Ask question

Ask question

All categories

2 years ago

15

The table shows the frequency of colors in a bag of skittles. Based on this data, what is the approximate probability that a BLU

E
skittle is pulled from a bag of skittles? (round to the nearest hundredth)

1 answer:

Dimas [21]2 years ago

8 0

Where is the image of the table?

You might be interested in

A school wishes to enclose its rectangular playground using 480 meters of fencing.

Harlamova29_29 [7]

Answer:

Part a) $A(x)=(-x^2+240x)\ m^2$

Part b) The side length x that give the maximum area is 120 meters

Part c) The maximum area is 14,400 square meters

Step-by-step explanation:

The picture of the question in the attached figure

Part a) Find a function that gives the area A(x) of the playground (in square meters) in terms of x

we know that

The perimeter of the rectangular playground is given by

$P=2(L+W)$

we have

$P=480\ m\\L=x\ m$

substitute

$480=2(x+W)$

solve for W

$240=x+W\\W=(240-x)\ m$

<u><em>Find the area of the rectangular playground</em></u>

The area is given by

$A=LW$

we have

$L=x\ m\\W=(240-x)\ m$

substitute

$A=x(240-x)\\A=-x^2+240x$

Convert to function notation

$A(x)=(-x^2+240x)\ m^2$

Part b) What side length x gives the maximum area that the playground can have?

we have

$A(x)=-x^2+240x$

This function represent a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The x-coordinate of the vertex represent the length that give the maximum area that the playground can have

Convert the quadratic equation into vertex form

$A(x)=-x^2+240x$

Factor -1

$A(x)=-(x^2-240x)$

Complete the square

$A(x)=-(x^2-240x+120^2)+120^2$

$A(x)=-(x^2-240x+14,400)+14,400$

$A(x)=-(x-120)^2+14,400$

The vertex is the point (120,14,400)

therefore

The side length x that give the maximum area is 120 meters

Part c) What is the maximum area that the playground can have?

we know that

The y-coordinate of the vertex represent the maximum area

The vertex is the point (120,14,400) -----> see part b)

therefore

The maximum area is 14,400 square meters

Verify

$x=120\ m$

$W=(240-120)=120\ m$

The playground is a square

$A=120^2=14,400\ m^2$

8 0

3 years ago

Simplify the expression -(2m+3)+5m

astra-53 [7]

Answer:

$3m-3$

Step-by-step explanation:

So we have the expression:

$-(2m+3)+5m\\$

Distribute the negative:

$=-2m-3+5m$

Combine like terms:

$=3m-3$

And we're done!

5 0

3 years ago

Read 2 more answers

a phone company offers two monthly charge, in Plan a, the customer pays a monthly fee of $40.10 and then an additional 4 cents p

Charra [1.4K]

Answer:

x > 1.7 minutes

The monthly telephone usage amounts so that plan A is not greater than plan B are all greater than 1.7 minutes.

Step-by-step explanation:

The two plans must be defined by the equation of the line y = mx + b, where

y = plan

m = slope or payment of additional cents per minute

x = time expressed in minutes

For Plan A, we have

y = 4x + 40.10 (Equation A)

While plan B is defined as

y = 7x + 35 (Equation B)

Plan A must be less than Plan B,

4x + 40.10 < 7x + 35

We put the “x” on the left side and the independent terms on the right side,

4x - 7x < 35 - 40.10

We add algebraically,

-3x < -5.10

We multiply the equation by -1 to eliminate the two “minus” signs, changing the inequality sign,

3x > 5.10

We isolate x,

x > 5.10 / 3

We solve, calculating the value of x,

x > 1.7 minutes

The monthly telephone usage amounts so that plan A is not greater than plan B are all greater than 1.7 minutes.

7 0

3 years ago

A DVD was priced at $2.87 last week. This week the same DVD is priced at $10.59. What is the percent increase in price?

solniwko [45]

Answer:

Percentage increase = 269%

Step-by-step explanation:

Price of a DVD last week = $2.87

Price of the same DVD this week = $10.59

Increase in the price of DVD between last week and this week = 10.59 - 2.87

= $7.72

Therefore, percentage increase in the price of DVD = $\frac{\text{Increase in the price}}{\text{Price of DVD last week}}\times 100$

= $\frac{7.72}{2.87}\times 100$

= 268.99

= 269%

6 0

2 years ago

What are the properties of matrix?

Alex17521 [72]

I believe it is inverse

8 0

3 years ago