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olga2289 [7]
3 years ago
12

If six people decide to come to a basketball game, but three of them are only 2/5 sure that they will stay for the entire time (

the other three are sure they'll stay the whole time), what is the probability that at the end, at least 5 people stayed the entire time
Mathematics
1 answer:
exis [7]3 years ago
7 0

Answer:

the probability that at the end, at least 5 people stayed the entire time = 0.352

Step-by-step explanation:

From the question, 3 of the people are sure to stay the whole time. So, we'll deduct 3 from 6.which leaves us with 3 that are only 2/5 or 0.4 sure that they will stay the whole time.

Thus, what we need to compute to fulfill the probability that at the end, at least 5 people stayed the entire time of which we know 3 will stay, so for the remaining 3,we'll compute;

P[≥2] which is x~bin(3,0.4)

Thus;

P(≥2) = (C(3,2) x 0.4² x 0.6) + (C(3,3) x 0.4³)

P(≥2) = 0.288 + 0.064

P(≥2) = 0.352

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Answer:

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Step-by-step explanation:

5 0
2 years ago
A person invests $2,740 in an account that earns 4.3% annual interest. Find when the value of the investment reaches $7,000. If
Juli2301 [7.4K]

So, to set up your equation is the hardest part. If you remember the basic format, you're set.

I(t) = P * (1+r%)^t

t= time and this will be our variable

Initial amount P = $2740

Rate = 4.3% which converts numerically into .043

I(t) = 7000

Before we get to find out how to find how many years it takes to get to $7000, set up the basic equation by plugging in what we know.


I(t) = $2740(1+4.3%)^t

I(t)=2740(1.043)^t

Now plug in for $7000 for I(t)

7000=2740(1.043)^t                 Divide both sides by 2740

7000/2740 = 2740/2740(1.043)^t

2.55474453=(1.043)^t

Now you can solve for t in two ways. You can either use the natural log or graph it on your graphing calculate and see when the two equations meet.

In your calculator you can set up:

ln(2.55474453)/ln(1.043) = t                 which is the method I prefer since it's much simpler

t=22.278528

but you can also graph it in your ti-84

with

y1=2.55474453

y2=(1.043)^x

and find where they intersect on the graph.

either way it'll be the same answer

3 0
3 years ago
1.2.4 journal:Algebraic Properties and expressions
pishuonlain [190]

Answer: https://www.coursehero.com/file/36434863/math-124docx/

<u><em>Step-by-step explanation:  In this WEB you will research for your answer you just need to Signed up i think so </em></u>

<u><em>( you need to copie this web on google )</em></u>

<u><em>If you need help ask me</em></u>

6 0
3 years ago
1. The temperature of a body rises from -6°c to 5°c. By how much degrees does it rises? <br>​
babunello [35]
It rises 11 degrees

Step by step explanation
3 0
2 years ago
Algebra help?<br><br> 343 = (x/6) ^2/3
Vladimir79 [104]

I can only assume that you meant, "Solve for x:"

Apply the exponent 3/2 to both sides of this equation.  The result will be

     3/2

343 = x/6.    

Multiplying both sides by 6 isolates x:

          3/2

6*343           = x                         Since 7^3 = 343,  the expression for x

                                                  can be rewritten as

           3/2

6*(7^3)          =   x                      which can be further simplified, as follows:


x =  6^(3/2)*7^(9/2), or:

x = 6^(3/2)*7^(8/2)*√7, or

x = 6^(3/2)*7^4*√7

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3 years ago
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