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Goshia [24]
3 years ago
13

In a certain game of chance, your chances of winning are 0.3. Assume outcomes are independent and that you will play the game fo

ur times. Q: What is the probability that you win at most once
Mathematics
1 answer:
sergeinik [125]3 years ago
3 0

Answer:

0.6517

Step-by-step explanation:

Given that in a certain game of chance, your chances of winning are 0.3.

We know that each game is independent of the other and hence probability of winning any game = 0.3 (constant)

Also there are only two outcomes

Let X be the number of games you win when you play 4 times

Then X is binomial with p = 0.3 and n =4

Required probability

= Probability that you win at most once

= P(X\leq 1)\\=P(X=0)+P(X=1)

We have as per binomial theorem

P(X=r) = nCr p^r (1-p)^{n-r}

Using the above the required prob

= 0.6517

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Find the tenth term in the following geometric sequence. 8, 4, 2, 1, . . .
Marrrta [24]

Answer:

  c)  0.0156

Step-by-step explanation:

The general term a[n] of a geometric sequence is given in terms of the first term a[1] and common ratio r as ...

  a[n] = a[1]r^(n-1)

The given sequence has an initial term of a[1]=8 and a common ratio of 4/8=1/2. Then the general term is ...

  a[n] = 8(1/2)^(n-1)

The 10th term is then ...

  a[10] = 8(1/2)^(10-1) = 8(1/2)^9 = 8/512

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7 0
3 years ago
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IrinaK [193]

The answer is -8/15.  This is a for sure correct answer.

7 0
3 years ago
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Research results showed that experimental Drug R had a minimal to modest effect in reducing the symptoms of generalized anxiety
Angelina_Jolie [31]

Answer:

The variable that may change in response to the increase of the drug is the GAD symptoms by a 37,5%.

Step-by-step explanation:

According to the results of the first experiment with a mass of 200 mg of Drug R, they obtain a reduced of the GAD symptoms by a 25 percent evidenced by the Hamilton Anxiety Scale.

If they decided to increase the mass of Drug R to 300 mg the results expected are a increase of the porcentange of the reduced symptoms of generalized anxiety disorder, according to the tendence of the first hypothesis and the Hamilton Anxiety Scale.

We can express this increase by using the three simple rule. Where if 200 mg of Drug R reduced the 25% of the GAD symptoms, if we increase to 300 mg of Drug R how much porcentage this amount will be reduced.

Doing the maths 300mg × 25%=7500mg%,

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<u>In conclusion</u> if they increased the mas of Drug R to 300 mg they will be reduced the generalized anxiety disorder (GAD) to a 37,5%.

3 0
4 years ago
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abruzzese [7]

Answer:

y=2x-2

Step-by-step explanation:

Slope intercept form y= mx+b

y-4 = 2(x-3)

y-4= 2x-6

y-4+4= 2x-6+4

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Which set of rectangular coordinates describes the same location as the polar coordinates (4,pi)?
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