What is the name of the shape depicted in the graph below

Suppose we want to choose 2 objects, without replacement, from the 5 objects pencil, eraser, desk, chair, and lamp. (a)How many

BigorU [14]

Answer:

a) 20 ways

b) 10 ways

Step-by-step explanation:

When the order of selection/choice matters, we use Permutations to find the number of ways and if the order of selection/choice does not matter, we use Combinations to find the number of ways.

Part a)

We have to chose 2 objects from a group of 5 objects and order of choice matters. This is a problem of permutations, so we have to find 5P2

General formula of permutations of n objects taken r at time is:

$nPr=\frac{n!}{(n-r)!}$

Using the value of n=5 and r=2, we get:

$5P2=\frac{5!}{(5-2)!} =20$

Therefore, we can choose 2 objects from a group of 5 given objects if the order of choice matters.

Part b)

Order of choice does not matter in this case, so we will use combinations to find the number of ways of choosing 2 objects from a group of 5 objects which is represented by 5C2.

The general formula of combinations of n objects taken r at a time is:

$nCr=\frac{n!}{r!(n-r)!}$

Using the value of n=5 and r=2, we get:

$5C2=\frac{5!}{2!(5-2)!} =10$

Therefore, we can choose 2 objects from a group of 5 given objects if the order of choice does not matters.

3 0

2 years ago

Read 2 more answers

A formula for 6 gallon of light green paint use 3/8 gallons of white paint. Liam has 9/16 gallon of white paint. Does liam have

FromTheMoon [43]

Answer:

Yes he have enough white paint.

Step-by-step explanation:

We are given

6 gallons of light green paint use → $\frac{3}{8}$ gallons of white paint

using the unitary method

1 gallons of white paint → 6*8/3 gallons of light green paint

→ 16 gallons of light green paint

but Liam have 9/16 gallons of white paint

9/16 gallons of white paint → 16* 9/16 gallons of light green paint

→ 9 gallons of light green paint

Yes Liam have enough white paint to make 8 gallons of light green paint.

3 0

2 years ago

A new car is purchased for 20700 dollars. The value of the car depreciates are 11% per year. What will the value of the car be,

ASHA 777 [7]

Answer: $5,744.61

Step-by-step explanation:

year 1 = -2,277

year 2 = -2026.53

year 3 = -1803.61

year 4 = -1605.21

year 5 = -1428.64

year 6 = -1271.49

year 7 = -1131.62

year 8 = -1007.17

year 9 = -896.36

year 10 = -797.76

year 11 = -710

you are subtracting 11% from each year.

5 0

2 years ago

A scientist makes spherical magnets. Each magnet has a radius of 1.02 cm. They are stored away in boxes of 250. Calculate the vo

Mrac [35]

Answer:

The volume of 250 magnets is 625cm³

Step-by-step explanation:

We know that the formula to calculate the volume of a sphere is

v = 3/4 * π * r³

π = 3.14

r = 1.02cm

we replace the values and calculate the volume of a sphere

v = 3/4 * 3.14 * (1.02cm)³

v = 3/4 * 3.14 * 1.061208cm³

v = 2.49914484cm³

to calculate the volume of 250 spheres we simply multiply by 250

250 * 2.49914484cm³ = 624.78621

if we round to the nearest cubic cm

624.78621cm³ = 625cm³

5 0

2 years ago

Damian found that 75% of the total number of teenagers surveyed like pop music. If 150 teenagers like pop music, what is the tot

igor_vitrenko [27]

Okay. To find the number of teens he surveyed, we can write and solve a proportion. Set it up like this: 150/x = 75/100. This is because you’re looking for the amount of students he surveyed and you know the percentage and the number of students that like pop music. 150 is over “x”, because “x” will represent the total number of students surveyed. Now, let’s cross multiply the values. 150 * 100 is 15,000. 75 * x = 75x. 15,000 = 75x. Now, divide each side by 75 to isolate the “x”. 15,000/75 is 200. x = 200. Damian surveyed a total of 200 teenagers.

6 0

2 years ago