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marusya05 [52]
2 years ago
14

A fair tossed 10 times . Find the probability of obtaining (i) exactly four heads (ii) 3 heads and 7 tails (iii) at least one he

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Mathematics
1 answer:
vodka [1.7K]2 years ago
3 0

Answer:

0.205 ; 0.117 ; 0.999

Step-by-step explanation:

Using binomial probability distribution :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

Probability of success, p = 0.5

P(x = 4) = 10C4 * 0.5^4 * 0.5^6

P(X = 4) = 0.205078125

B.) 3 heads and 7 tails

P(X = 7) = 10C7 * 0.5^7 * 0.5^3

P(X = 7) = 120 * 0.0009765625

P(X = 7) = 0.117

P(atleast one head)

P(x greater than equal to 1) = p(x =1) +... P(x = 10)

Using a binomial probability calculator :

P(x greater than equal to 1) = 0.999

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The external angle is suplementary to the internal angle close to it. We also know that the sum of all the internal angles of the triangle are equal to 180 degrees, this means that the angle "a" is suplementary to the sum of the angles "b" and "c". Through this logic, we can conclude that since:

\begin{gathered} \angle d=180-\angle a \\ \angle b+\angle c=180-\angle a \end{gathered}

Then we can conclude that:

\angle d=\angle b+\angle c

Therefore the statement is true, the exterior angle is equal to the sum of its remote interior angles.

Let's use an example:

On this example, the external angle is 120 degrees, therefore the sum of the remote interior angles must also be equal to that. Let's try:

x=75+45=120

The sum of the remote interior angles is equal to the external angle.

6 0
11 months ago
The temperature in your town is 31 degrees Fahrenheit. The radio announcer says that the temperature will drop 15 degrees.What w
laiz [17]

Hi,

New temperature will be 31 F - 15 F = 16 F.

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4 0
3 years ago
Read 2 more answers
Please help me
Kruka [31]

y = x^2 -4x

x = -1

y = (-1)^2 - 4×-1=1+4 = 5

x= 0

y = (0)^2 - 4×0 = 0

x = 1

y = 1^2 -4×1 = 1-4 = -3

x = 2

y = 2^2 -4×2 = 4-8 = -4

x=3

y = 3^2 - 4×3 = 9-12 = -3

x = 4

y = 4^2 - 4×4 = 16 - 16 = 0

now 2nd equation

y = 2x^2 + x

x = -2

y = 2 (-2)^2 + (-2)= 8-2 = 6

x = -1

y = 2 (-1)^2+(-1)= 2-1 = 1

x = 0

y = 2(0)^2 +0 = 0

x = 1

y = 2 (1)^2 + 1 = 3

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6 0
2 years ago
Brainliest to first right, along with 5 stars, and a thanks, lol:)
vlada-n [284]

Answer:

B

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Using suitable identity find 231^222-131^2​
Sliva [168]

Given:

Consider the expression is

231^2-131^2

To find:

The value of given expression using a suitable identity.

Solution:

We have,

231^2-131^2

Using the identity a^2-b^2=(a-b)(a+b), we get

231^2-131^2=(231-131)(231+131)

231^2-131^2=(100)(362)

231^2-131^2=36200

Therefore, the value of the given expression is 231^2-131^2=36200.

7 0
2 years ago
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