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a_sh-v [17]
3 years ago
5

The variance Var(x) for the binomial distribution is given by equation :

Mathematics
1 answer:
aliina [53]3 years ago
6 0

Answer: d. np(1 - p).

Step-by-step explanation:

Let x be any binomial variable which represents the number of success such that X\sim B(n, p) , where n is the sample size or the total number of trials and p is the probability of getting success in each trial .

Then, the mean E(x) and the variance Var(x) for the binomial distribution is given by equation :

E(x)=\mu=np

Var (x)=\sigma^2=np(1-p)

where n is the sample size or the total number of trials and p is the probability of getting success in each trial .

Therefore , the correct option is option d. np(1 - p) .

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Answer:

answer is 12

Step-by-step explanation:

because 5×4=20

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3×4=12

and u can reduce it to

6/10 and reduce it again to

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Elena L [17]
Straight vertical line going through 6 value on x axis
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If tanA = 1/2 then evaluate cos A/sinA +sinA /1+cosA​
Deffense [45]

Answer:

√5.

Step-by-step explanation:

Tan A = 1/2 means that the right triangle containing angle A has legs of length 1 and 2 units. So the hypotenuse  = √(1^2 + 2^2) = √5  (using the Pythagoras theorem). The side opposite to < A = 1 unit and the adjacent side = 2 (as tan = opposite / adjacent).

so cos A =  adjacent / hypotenuse =   2/√5.

and sin A = opposite / hypotenuse = 1 / √5

cos A / sin A = 2/√5 /  1/ √5 =  2.

sin A / (1 + cos A) =  1/√5 (1 + 2/ √5)

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= 1 / (√5 + 2)

So the answer is:

2  +   1 /(√5 + 2).

We can simplify it further by multiplying top and bottom of the fraction by the complement of √5 + 2 which is √5 - 2.

2 + 1 / (√5 + 2)

= 2(√5 + 2) + 1 / (√5 + 2 )

= { 2(√5 + 2) + 1 } /  (√5 + 2)

Multiplying this by  √5 - 2 / √5 - 2 we get:

(2(5 - 4) + √5 - 2) /  (5 -4)

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3 years ago
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The curved surface area of a right circular cylinder of height 14 cm is 88 cm2. find the diameter of the base of the cylinder​
White raven [17]

Answer:

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Step-by-step explanation:

h = 14 cm

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Diameter = 2 * r = 2 * 1 = 2  cm

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