# An organization will give a prize to a local artist. The artist will be randomly chosen from among 10 painters, 3 sculptors, and 5 photographers. What is the probability that the artist chosen will be a sculptor or a photographer?

2 months ago

## Solution 1

Guest #7880
2 months ago

The probability is 8/18 or 44%.

Since there are 3 sculptors and 5 photographers, and the question is asking for either a sculptor or photographer, you add them together. There are a total of 18 artists, and the probability is the chance of a certain thing happening over the total amount of things that can happen (i.e. a coin landing on heads is 50%).

## Solution 2

Guest #7881
2 months ago
8/18
3+5=8
18 is the total number of artists.

## 📚 Related Questions

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The longer leg of a right triangle is 4 more than twice the shorter leg. The hypotenuse is 4 less than three times the short leg. What is the value of the hypotenuse?
Solution 1
Let the shorter leg = x

shorter leg =x
longer leg = 2x + 4
hypotenuse = 3x - 4

Given that a² + b² = c²

x² + (2x + 4)² = (3x - 4)²

Remove brackets : (a + b)² = a² + 2ab + b²:
x² + 4x² + 16x + 16 =  9x² - 24x + 16

Moved all terms to the left:
x² + 4x² + 16x + 16 - 9x² + 24x - 16 = 0

Combine like terms:
-5x² + 40x = 0

Multiply all terms by -1:
5x² - 40x = 0

Take out 5x as common factor:
5x(x - 8) = 0

Apply zero product property:
5x = 0 or x - 8 = 0

Evaluate:
x = 0 or x = 8

Since length cannot be zero, shorter leg = 8

shorter leg = 8
Hypotenuse = 3(8) - 4 = 20

Question
If you want to put a 4x8 piece of plywood through a 3 foot square opening in your ceiling by turning it diagonally is the opening big enough? use a 45-45-90 since its a square
Solution 1

Answer: Yes, the 3 foot 3 foot square opening in your ceiling is big enough to insert a  4x8 piece of plywood.

In  a 3x3 foot square, we can form two right triangles with same diagonal side or hypotenuse. .

Using the Pythagorean theorem/formula, we can find the length of the hypotenuse or the longest side of the triangle ( c) given the two sides a and b

Substitute values a=3 and b=3 to formula

a^2^+b^2^=C^2^=

3^2^+3^2^=C^2^=

9+9= C^2^

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C=4.24

A 4x8 piece of plywood can be inserted in a 4.24 opening diagonally.

Question
From 1992 through 2007, the purchasing power of a dollar decreased by about 3.5% per a year. Using 1992, as the base for comparison, what was the purchasing power of a dollar in 2007? Formula: y=C(1−r)t \$0.48 \$0.57 \$0.44 \$0,59
Solution 1

Explanation:

1) Given formula: y=C(1−r)^t

I will change t for x just due to editor limitations: y = C(1-r)ˣ

2) In that:

C =\$1,
r = 3.5% = 3.5/100 = 0.035
x = t = 2007 - 1992 = 15

3) Compute

y = \$1 (1 - 0.035)¹⁵ = \$1 (0.965)¹⁵ = \$0.586 ≈ \$0.59

Question
What is 150000000 times 10
Solution 1
150,000,000 × 10 =
1,500,000,000

All you have to do is add another zero.

~Hope this helped~
Question
A newly hatched channel catfish typically weighs 0.3 grams. During the first 6 weeks of life, its growth is approximately exponential, increasing by about 10% each day. Find the weight at the end of four weeks. (Hint: Be sure to change the number of weeks to days before plugging into the formula!) Formula: A=C(1+r)t 0.53g 4.33g 16.43g 1.14g
Solution 1

Explanation:

1) The formula is given: A = C(1+r)ˣ ↔ (I used x instead of t just do to limitations of the math editor. Keep in mind that here x is time in days.

2) r is the rate of increasing given: 10% = 10/100 = 0.1

3) C is the initial weight and A is the final weight after x (or t) days.

A = 0.3 (1 + 0.1)ˣ = 0.3(1.1)ˣ

x = number of days = 7 × number of weeks = 7 × 4 = 28 days

4)  Compute:

A = (0.3g)(1.1)²⁸

Question
If it takes for men six hours to repair a road how long will it take three men to do the job if they work at the same rate?
Solution 1
It will take three men seven hours and thirty minutes to repair the road. Hope it helps, God bless
Question
A wise man once said, "500 reduced by 3 times my age is 200." What is his age?
Solution 1
The answer is:  " 100 " .
_________________________________________________________

Explanation:
_________________________________________________________

Let "x" represent the numerical value of [the man's age].

500 - 3x = 200 ;  Solve for "x" ;

Subtract "500" from each side of the equation:

500 - 3x - 500 = 200 - 500 ;

to get:

- 3x = -300 ;

Now, divide each side of the equation by "-3" ; to isolate "x" on one side of the equation; & to solve for "x" ;

- 3x / -3 = -300 / -3 ;

x = 100
_______________________________________________________
The answer is:  " 100 " .
_______________________________________________________
Question
Madison bought an empty lot for \$2000 in later sold it for a 25% profit how much did Madison sell the lot for?
Solution 1
She sold it for \$2,500 if you add 2000+25% you'll get 2,500
Question
Rebecca is planting an orange grove that covers 32 acres she uses the same amount of ground space for each tree Rebecca plants 15 trees in a section of the grove that measures 250 feet by 25 feet what is the population density of this section of the grove use 1 acre= 43,560 square feet
Solution 1
Area of the garden that 15 trees are planted will be:
Area=250×25=6250 ft²
but 1 acre= 43560 ft²
thus converting our area to acres we get:
6250/(43560)
=0.1435 acres
thus the population density will be:
(Population)/(area)
=15/0.1435
=104.544 trees/acre
Question
Ellie made a cube-shaped cardboard box with side-length s. The area of cardboard she used is given by the formula A = 6s2￼, where s represents the side length of the cube.
Solution 1
The correct question is
Ellie made a cube-shaped cardboard box with side-length s. The area of cardboard she used is given by the formula A = 6s2￼, where s represents the side length of the cube.

Which equation correctly solves the formula for s?

we know that
A = 6s²---------> clear the variable s
s²=A/6------> applying square root both members
s=√(A/6)--------> s=(1/6)*√(6*A)

s=(1/6)*√(6*A)

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