Evaluate f(3m-4) given

Permutations and combination question ^^

mario62 [17]

Answer: 22) A

Step-by-step explanation:

First, order doesn't matter so it is a Combination.

In other words, it doesn't matter which person was chosen 1st, 2nd, 3rd, or 4th to bring food because they are all bringing "food".

Next, If you are going to choose person to 4 people to bring food out of a total of 4 + 3 + 1 = 8 people, you get → ₈C₄

And you are going to choose 3 people to bring decorations out the remaining 8 - 4 = 4 people, you get → ₄C₃

And you are going to choose 1 person to be the host out of the remaining 4 - 3 = 1 person, you get → ₁C₁

"And" means multiplication so altogether you get ⇒ ₈C₄ × ₄C₃ × ₁C₁

3 0

3 years ago

Ben strikes out 90 times in 340 at bat. What percent of the time does Ben strike out

nikklg [1K]

Answer:

$percentage=26.47\%$

Step-by-step explanation:

$Ben\ strikes\ in\ 340\ efforts=90\\\\So\ fraction\ he\ can\ strike\ 1\ effort=\frac{number\ of\ times\ he\ strikes}{total\ efforts}\\\\So\ fraction\ he\ can\ strike\ in\ 1\ effort=\frac{90}{340}\\\\So\ fraction\ he\ can\ strike\ in\ 1\ effort=\frac{9}{34}\\\\He\ can\ strike\ in\ 100\ efforts=\frac{9}{34}\times 100\\\\percentage=26.47\%$

3 0

4 years ago

The sequences below are either arithmetic sequences or geometric sequences. For each sequence, determine whether it is arithmeti

ruslelena [56]

Answer:

a) Arithmetic yₙ = 3*(n - 1) + 13

b) Geometric yₙ = 2*5⁽ⁿ⁻¹⁾

Step-by-step explanation:

5 0

3 years ago

Multiply. 2.5(-4) eeeeeeeeeeeeeeeeeeeeeeee

lidiya [134]

Answer:

x = 5/8 = 0.625

Step-by-step explanation:

8 0

3 years ago

An electronics company makes communication devices for military contracts. The company just completed two contracts. The navy co

adelina 88 [10]

Answer:

Workers of army contract were more productive.

Step-by-step explanation:

To determine on which contract the workers were more productive compute the work done per hour by the workers for both contracts.

Navy Contract:

Number of devices = 2,300

Number of workers = 25

Number of weeks = 2 weeks

Number of hours per week = 40

The number of hours it took 25 workers to produce 2300 devices is =

$=25\times2\times40\\=2000\ hours$

Then number of devices produced in 1 hour is = $\frac{2300}{2000}= 1.15\ devices\ per\ hour$

Army Contract:

Number of devices = 5,500

Number of workers = 35

Number of weeks = 3 weeks

Number of hours per week = 40

The number of hours it took 35 workers to produce 5500 devices is = $=35\times3\times40\\=4200\ hours$

Then number of devices produced in 1 hour is = $\frac{5500}{4200}= 1.31\ devices\ per\ hour$

The workers for the army contract are more productive since they produce 1.31 devices per hour whereas the workers for navy contract produces 1.15 devices per hour.

4 0

3 years ago