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grin007 [14]
3 years ago
9

Suppose I am playing a sport that does not allow me to end a match in a tie​ (AKA I have to either win or​ lose). If my probabil

ity of winning at any given time is​ 0.6, find the probability that I win exactly three of five matches
Mathematics
1 answer:
Leviafan [203]3 years ago
6 0

Answer: The required probability is 0.3456.

Step-by-step explanation:

Since we have given that

Probability of winning at any given time = 0.6

Probability of losing at any given time = 1-0.6 = 0.4

Number of total matches = 5

Number of won matches = 3

So, using "Binomial distribution", we get that

P(X=3)=^5C_3(0.6)^3(0.4)^2\\\\P(X=3)=0.3456

Hence, the required probability is 0.3456.

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To find the product of 42.12 and 10³, move the decimal point in 42.12 __ places to the right because 10³ has __ zeros.
Yakvenalex [24]
<h3>To find the product of 42.12 and 10^3,  move the decimal point in 42.12 3 places to the right because 10^3 has 3 zeros</h3>

<em><u>Solution:</u></em>

Given that,

\text{ product of } 42.12 \text{ and } 10^3

Which means,

42.12 \times 10^3

Here, the exponent of 10 is positive ( which is 3)

When the exponent is positive, we have to move the decimal point to right

When you multiply a number by a power of 10, ( 10!, 10^2, and so on ) move the decimal point of the number to the right the same number of places as the number of zeros in the power of 10

Here, exponent is 3 , therefore move the decimal point right 3 places in 42.12

Therefore,

42.12 \times 10^3 = 42120

7 0
3 years ago
Colleen McHugh wishes to deposit checks for $13.75, $92.08, and $8.21 into her account. She would like to receive $15.00 in cash
CaHeK987 [17]

her total deposit is 98.94

4 0
2 years ago
Read 2 more answers
Which is the graph of y=3/4x-3?<br>Graph C<br>Graph B<br>Graph A​
Alika [10]
I believe it’s graph c :)
3 0
3 years ago
Read 2 more answers
Suppose that a cyclist began a 374 mi ride across a state at the western edge of the​ state, at the same time that a car traveli
kherson [118]
This is the concept of relative speed; We are required to calculate the speed of the car and the bicycle.
Distance between the car and Bicycle=374 miles
Time they met=5.5 hr
Speed traveled by bicycle=x
Speed traveled by car=x+33.4334
Relative speed=x+(x+33.4334)=(2x+33.4334) mph
Distance=speed*time
374=(2x+33.4334)*5.5
374=11x+183.8837
collecting like term we get:
374-183.8837=11x
11x=190.1163
thus;
x=(190.1163)/(11)
x=17.2833 mph
thus the speed of the bicycle was x=17.2833 mph
The speed of the car was (x+33.4334)=(17.2833+33.4334)=50.7167 mph

4 0
3 years ago
Simplify the expression using the laws of exponents. 36x−2y2 15z−3 A) 12x1/2y2 5z3/2 B) 12x2z3 5y2 C) 12y1/2x2z3 5 D) 12y2z3 5x2
tino4ka555 [31]

Answer:

\frac{12 {z}^{ 3} {y}^{2} }{5 {x}^{ 2} }

Step-by-step explanation:

We want to simplify:

\frac{36 {x}^{ - 2} {y}^{2} }{15 {z}^{ - 3} }

The trick is that when a negative index in the numerator comes to the denominator , it becomes positive.

The vice-versa is also true.

That is:

{a}^{ - n}  =  \frac{1}{ {a}^{ n} }

and

{a}^{n}  =  \frac{1}{ {a}^{ - n} }

We simplify to get:

\frac{12 {z}^{ 3} {y}^{2} }{5 {x}^{ 2} }

The last choice is correct.

5 0
3 years ago
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