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Elena L [17]
2 years ago
15

Hannah’s favorite toy character is sold wearing one of many outfits. An outfit consists of one shirt, one pair of pants, and one

cap. The shirt can be striped, plain, or polka-dotted. The pants may be denim or plaid. The cap may be a cowboy hat or a baseball cap. If Hannah picks a toy at random from the shelf and there are an equal number of toys wearing each outfit, what is the probability that the toy is dressed in a polka-dotted shirt and a cowboy hat?
Mathematics
1 answer:
Komok [63]2 years ago
3 0

the answer is 2 out of 6

or 2/6

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Two athletic teams play a series of games; the first team to win 4 games is declared the overall winner. Suppose that one of the
kodGreya [7K]

Answer:

  • p=0.7103 (4-game series)
  • p=0.6480 (2-game series)

Step-by-step explanation:

Let X be the random variable equal the the first 4 straight wins. An overall win for the stronger team implies a negative binomial function with the parameters  n=4, p=0.6:

P(X=4)={{i-1}\choose {4-1}}0.6^40.4^{i-4},\  i=4,5,6,7

#We find probabilities for the different values of i:

P(X=4)={3\choose 3}0.6^4=0.1296\\\\P(X=5)={4\choose 3}0.6^40.4^1=0.2074\\\\P(X=6)={5\choose 3}0.6^40.4^2=0.2074\\\\P(X=4)={6\choose 3}0.6^40.4^3=0.1659

Hence, probability of the stronger team winning overall is:

=P(X=4)+P(X=5)+P(X=6)+P(X=7)\\\\=0.7103

#Define Y as the random variable for winning 2/3 games.:

P(Y=2)={1\choose 1}0.6^2=0.3600\\\\P(Y=3)={2\choose3}0.6^20.4=0.2880\\\\P(win)=0.2880+0.3600=0.6480

Hence, probability of the stronger team winning in 2 out 3 game series is 0.6480

The stronger team has a higher chance of winning in a 4-game series(0.7103>0.6480)

8 0
2 years ago
Convert 2 2/3 into an improper fraction​
Furkat [3]

Answer: 8/3

Step-by-step explanation:

5 0
3 years ago
Someone help with this midpoint question please
Natali5045456 [20]

Answer: D) (2,0)

Step-by-step explanation:

These are your values.

(-2,4);(6,-4)

Remember this means;

(x_1,y_1);(x_2,y_2)

The formula for finding the midpoint of a segment is simple. Add both x's and y's and divide them by 2 separately. Or, if you like to follow formulas, here you go.

Let M be midpoint.

M=\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}

M=\frac{-2+6}{2},\frac{4+(-4)}{2}

M=\frac{4}{2} ,\frac{4-4}{2}

M=\frac{4}{2} ,\frac{0}{2}

M=2,0

3 0
2 years ago
Angels Inscribed and circumscribed.
zhenek [66]

Remark

The diameter of the circle is AC. The hypotenuse of the right triangle is also AC. This assumes that A,B and C all lie on the circumference of the circle.

Answers

One

The center of the circle is on the diameter of the circle. In fact, the center bisects the diameter. So the center lies on AC and if the center is labeled O then AO = BO.

<em><u>Answer 1: </u></em> AC

Two

The answer is the single word diameter.

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2 years ago
How to solve this (b) ???​
vladimir1956 [14]

(b). → Simplify: [{5^(x-+1) + 5^x}/{6×5^x}]

= [{5^(x+1+x)}/{6×5^x}]

= [{5^(2x+1)}/{6×5^x}]

= [{5^(2x+1)}/{6×5^x}]

= [{5^(2x+1-x)}/6]

= [{5^(x+1)}/6]Ans.

(c). 4a³b²

= 4(3)³(-2)²

Since, a = 3 and b = -2.

so,

= 4(3*3*3)(-2*-2)

= 4(27)(4)

= 108(4)

= 432Ans.

<u>also</u><u> </u><u>read</u><u> similar</u><u> questions</u><u>:</u> simplify 6/x-6+3x/x+5-1/(x-6)(x+5)..

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simplify the equation simplify x^5/8/x^1/6..

brainly.com/question/84093?referrer

5 0
2 years ago
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