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ad-work [718]
3 years ago
14

Two dice are rolled. Find P(sum 6| first die is a 4)

Mathematics
1 answer:
Burka [1]3 years ago
6 0

Answer:

1/36

Step-by-step explanation:

p(4) is 1/6

4+x=6

x=2

p(2)=1/6

p(2) × p(4) = 1/36

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A particular telephone number is used to receive both voice calls and fax messages. suppose that 20% of the incoming calls invol
Phoenix [80]

Answer:

0.1091 or 10.91%

Step-by-step explanation:    

We have been given that a particular telephone number is used to receive both voice calls and fax messages. suppose that 20% of the incoming calls involve fax messages and consider a sample of 20 calls. We are asked to find the probability that exactly 6 of the calls involve a fax message.  

We will use Bernoulli's trials to solve our given problem.

P(X=x)=^nC_x\cdot P^x(1-P)^{n-x}

P(X=6)=^{20}C_6\cdot (0.20)^6(1-0.20)^{20-6}

P(X=6)=\frac{20!}{6!(20-6)!}\cdot (0.20)^6(0.80)^{14}

P(X=6)=\frac{20!}{6!(14)!}\cdot (0.000064)(0.04398046511104)

P(X=6)=38760\cdot (0.000064)(0.04398046511104)

P(X=6)=0.1090997009730

P(X=6)\approx 0.1091\\

Therefore, the probability that exactly 6 of the calls involve a fax message would be approximately 0.1091 or 10.91%.

4 0
3 years ago
A number y multiplied by —3 is less than
Aliun [14]

Answer:

-3y < -2/5

Step-by-step explanation:

Multiplied means times

-3y

is less than means <

-3y < -2/5

5 0
3 years ago
A rectangular prism has a length of 3 1/2 inches, a width of 5 inches, and a height of 1 1/2 inches.
Pavlova-9 [17]
L = 1 in
w = 5 in
h = 3 in
d = 5.9160797830996 in
S = 46 in2
V = 15 in<span>3
 i don't know which one your looking for so i solved for all the measure hope i hepled
</span>
6 0
3 years ago
There are two different maps of ohio. The scale on the first map is 1 cm to 10 km. The distance from cleveland to clncinnati is
Ivanshal [37]

1. To answer this question we must keep on mind that we already have the distance from Cleveland to Cincinnati.

2. They tell us that it is 40 centimeters on the first map.

3. If on the first map 1cm = 10km then:

40cm = 10km * 40 = 400km

4. Then the distance from Cleveland to Cincinnati is 400 kilometers.

5. On the second map 1cm = 50km

6. Then we want to know how many centimeters represents 400 kilometers on the second map. Therefore:

400/50= 8

 The answer is: 8 centimeters.

6 0
3 years ago
If side b is 12 and side c is 31. Round your answer to the nearest hundredth.
Marrrta [24]

Answer:

i think you mean area so 31?

Step-by-step explanation:

i need more stuff to answer that

6 0
4 years ago
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