Im stuck on this one

On each round, Ann and Bob each simultaneously toss a fair coin. Let Xn be the number of heads tossed in the 2n flips which occu

CaHeK987 [17]

Answer:

$P=\frac{2n!}{m!*(2n-m)!}*0.5^{2n}$

Step-by-step explanation:

In a coin toss the probability of tossing a head is 0.5 (50% head/50% tails)

If n is the number of rounds and 2n the number of coins tossed (one for each player), the probability of having m heads tossed is:

$R=\frac{2n!}{m!*(2n-m)!}$

R is the number of cases (combination of coins tossed) that gives a m number of heads. Each case has a probability of $P_{case}=0.5^{2n}$ so:

$P=\frac{2n!}{m!*(2n-m)!}*0.5^{2n}$

For example, to toss 4 heads in 5 rounds:

n=5
2n=10
m=4

$P=\frac{10!}{4!*(10-4)!}*0.5^{10}$

$P=\frac{10*9*8*7*6!}{4!*6!}*0.5^{10}$

$P=\frac{10*9*8*7}{4!}*0.5^{10}$

$P=\frac{10*9*8*7}{4!}*0.5^{10}=0.205$

8 0

3 years ago

Write -4 1/8 as a decimal

Hatshy [7]

-4 1/8 as decimal.
The decimal is -3.875.

7 0

3 years ago

Autumn is working two summer jobs making $16 per hour tutoring and making $12 per hour landscaping.In a giving week she can work

Darya [45]

Answer:

{13,14}

Step-by-step explanation:

Let

x ----> number of hours per week of tutoring

y ----> number of hours per week of landscaping

we know that

She can work no more than 17 hours

so

$x+y\leq 17$ -----> inequality A

She must earn at lest $240

The term " at least" means, "greater than or equal to"

$16x+12y\geq 240$ ----> inequality B

If Autumn worked 3 hours landscaping

then

$y=3\ hours$

substitute in the inequality A and in the inequality B

Inequality A

$x+3\leq 17\\x \leq 17-3\\x\leq 14\ hours$

Inequality B

$16x+12(3)\geq 240\\16x\geq 240-36\\x\geq 12.75\ hours$

The solution of the system is the interval {12.75,14]

All possible values for the number of whole hours tutoring that she must work to meet her requirements are

{13,14}

8 0

3 years ago

Can anybody help get me 6 more brainliest please I’ll do anything

Ksivusya [100]

Answer:

Brainliest this first then I will help you

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

1/2(2g-3)=-4(g+1) show work

xz_007 [3.2K]

1/2(2g−3)=−4(g+1)
1/2(2g−3)=−4(g+1)
g+−3/2=−4g−4
g+−3/2+4g=−4g−4+4g5g+−32=−4
5g+−3/2+3/2=−4+3/2

5g=−5/2
5g/5=−525
g=−12

Hoped I helped!

5 0

3 years ago

Im stuck on this one​

Im stuck on this one