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PilotLPTM [1.2K]

3 years ago

12

Ms groves has trays of paints for students in her art class. Each tray has 5 colors. One of the colors is purple. What fraction

of the colors in 20 trays is purple?

1 answer:

uysha [10]3 years ago

8 0

1/5 is the answer

5 × 20 =100
One of the colors is purple
20 of the paints are purple

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Three dice are rolled. Let the random variable x represent the sum of the 3 dice. By assuming that each of the 63 possible outco

tamaranim1 [39]

<h3>Answer: 1/8</h3>

In decimal form, 1/8 = 0.125 which converts to 12.5%

==================================================

Work Shown:

The 63 should be 6^3. There are 6 choices per slot, and 3 slots, so 6^3 = 216 different outcomes.

Here are all of the ways to add to 11 if we had 3 dice

sum = 1+4+6 = 11
sum = 1+5+5 = 11
sum = 1+6+4 = 11
sum = 2+3+6 = 11
sum = 2+4+5 = 11
sum = 2+5+4 = 11
sum = 2+6+3 = 11
sum = 3+2+6 = 11
sum = 3+3+5 = 11
sum = 3+4+4 = 11
sum = 3+5+3 = 11
sum = 3+6+2 = 11
sum = 4+1+6 = 11
sum = 4+2+5 = 11
sum = 4+3+4 = 11
sum = 4+4+3 = 11
sum = 4+5+2 = 11
sum = 4+6+1 = 11
sum = 5+1+5 = 11
sum = 5+2+4 = 11
sum = 5+3+3 = 11
sum = 5+4+2 = 11
sum = 5+5+1 = 11
sum = 6+1+4 = 11
sum = 6+2+3 = 11
sum = 6+3+2 = 11
sum = 6+4+1 = 11

There are 27 ways to add to 11 using 3 dice. This is out of 216 total outcomes of 3 dice being rolled.

So, 27/216 = (1*27)/(8*27) = 1/8 is the probability of getting 3 dice to add to 11.

7 0

3 years ago

Write the expression in exponential form. <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B10%7D%20" id="TexFormula1" title="

adoni [48]

<h3>Answer: 10^(1/2)</h3>

When we use an exponent of 1/2, it is the same as a square root. The more general rule is

$\sqrt{x} = x^{1/2}$

In this case, we plug in x = 10.

The use of a fractional exponent is handy when you want to deal with things like cube roots on a calculator. This is because

$\sqrt[3]{x} = x^{1/3}$

Many calculators don't have a button labeled $\sqrt[3]{}$ but they have the button $x^y$ to allow fractional exponents.

3 0

3 years ago

Please help with geometry

prohojiy [21]

Step-by-step explanation:

the answer is:

x=180-90-70=20°

5 0

3 years ago

Trash Cans: Elliot's family has a cylinder shaped trash can. It takes the family a few days to fill the trash can up. Elliot wan

Elza [17]

The volume of cylinder shaped trash can is 4698 cubic inches, if the trash can has a height of 24.90 inches and a diameter of 15.50 inches.

Step-by-step explanation:

The given is,

Trash can has a height of 24.90 inches

Diameter of 15.50 inches

Step:1

Formula to calculate the volume of cylinder,

$Volume, V = \pi r^{2} h$ .............................(1)

Where, r - radius of cylinder

h - Height of cylinder

From given,

h - 24.90 inches

D - 15.50 inches

Diameter to radius conversion,

$Radius, r = \frac{d}{2}$

$= \frac{15.50}{2}$

r = 7.75 inches

Equation (1) becomes,

$V = \pi (7.75^{2} )(24.90)$

$= \pi (60.0625)(24.90)$

$=\pi (1495.556)$

$=(3.1416) (1495.556)$ (∵ $\pi = 3.1416$ )

= 4698.42

≅ 4698 cubic inches

Volume of trash can, V = 4698 cubic inches

Result:

The volume of cylinder shaped trash can is 4698 cubic inches, if the trash can has a height of 24.90 inches and a diameter of 15.50 inches.

6 0

3 years ago

-2 2/3, -5 1/3, -10 2/3, -21 1/3, -42 2/3, ... Which formula can be use to describe the sequence?

Vesna [10]

D. f(x+1)=2f(x)

f(x+1)=2(-2 2/3)=-5 1/3
f(x+1)=2(-5 1/3)=-10 2/3
f(x+1)=2(-10 2/3)=-21 1/3
f(x+1)=2(-21 1/3)=-42 2/3

5 0

3 years ago

Read 2 more answers