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3 years ago

Find the probability of each event.

Mathematics

1 answer:

omeli [17]3 years ago

3 0

Answer:

The probability that cards # 1, # 2, and # 3 are still in order on the top of the stack is 0.045%.

Step-by-step explanation:

Since a politician is about to give a campaign speech and is holding a stack of thirteen cue cards, of which the first 3 are the most important, and just before the speech, she drops all of the cards and picks them up in a random order, to determine what is the probability that cards # 1, # 2, and # 3 are still in order on the top of the stack, the following calculation must be performed:

1/13 x 1/13 x 1/13 = X

0.076 x 0.076 x 0.076 = X

0.00045 = X

0.00045 x 100 = 0.045

Therefore, the probability that cards # 1, # 2, and # 3 are still in order on the top of the stack is 0.045%.

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A trampolinist steps off from 15 feet above ground to a trampoline 13 feet below. The function h (t) = -16 t 2 + 15, where t rep

kondor19780726 [428]

Answer:

Trampolinist will land on the trampoline after 0.9 seconds.

Step-by-step explanation:

The function h(t) = -16t² + 15 represents the relation between height 'h' above the ground and the time 't' of the trampolinist.

We have to find the time when trampolinist lands on the ground.

That means we have to find the value of 't' when h(t) = 15 - 13 = 2

[Since trampoline is 2 feet above the ground]

When we plug in the value h(t) = 2

2 = -16t² + 15

2 + 16t² = -16t² + 16t² + 15

16t² + 2 = 15

16t² + 2 - 2 = 15 - 2

16t² = 13

$\frac{16t^{2}}{16}=\frac{13}{16}$

$t^{2}=\frac{13}{16}$

t = $\sqrt{\frac{13}{16}}$

t ≈ 0.9 seconds

Therefore, trampolinist will land on the trampoline at 0.9 seconds.

5 0

3 years ago

Allen is horrible at managing his money. For example, he

N76 [4]

Answer:

$80,000

Step-by-step explanation:

Define the variables:

Let x = "fish-flavored" chicken company investment (in dollars)

Let y = spray-on vitamins company investment (in dollars)

If Allen invested a total of $100,000:

⇒ x + y = 100000

Given:

3% profit on "fish-flavored" chicken investment
1% profit on pray-on vitamins investment
Total profit = $2,600

⇒ 0.03x + 0.01y = 2600

Rewrite the first equation to make y the subject:

⇒ y = 100000 - x

Substitute into the second equation and solve for x:

⇒ 0.03x + 0.01(100000 - x) = 2600

⇒ 0.03x + 1000 - 0.01x = 2600

⇒ 0.02x + 1000 = 2600

⇒ 0.02x = 1600

⇒ x = 80000

Therefore, Allen invested $80,000 in the "fish-flavored" chicken company.

6 0

2 years ago

Last year, 350 people come to see a spring concert at REL. The cost per ticket was $5.00. The orchestra committee wants to incre

Anit [1.1K]

Let 0.25x is the price increase. Therefore, the number of attendees will be 350-10x and the revenue R=(350-10x)*(5+0.25x)=1750+37.5x-2.5x^2. This parabola has maximum at x=10, meaning the price=7.5

6 0

3 years ago

Read 2 more answers

To add matrices add, ______________ entries. A) corresponding B) alternating

brilliants [131]

A) corresponding
this is the answer hope it helps

8 0

4 years ago

Drag each real-world situation to the correct column to show whether it can be modeled by combining additive inverses to get 0.

Flauer [41]

Answer:

. An investment account earns 2.8% simple interest.

Since investment amount increases every year linearly, therefore, the modeled situation represents a LINEAR FUNCTION.

B). The price of a stock varies by 2.8% each week.

Since price of the stock may increase or decrease every week, therefore, this situation can't be modeled by any function.

Therefore, the answer is NEITHER.

C). An investment account earns 2.8% compound interest, compounded monthly.

Formula to get the value of the final amount in the account is,

Final value = Initial value ×

Here 't' = Duration of investment

It's an EXPONENTIAL FUNCTION.

Step-by-step explanation:

3 0

2 years ago