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4 years ago

What is the answer?????

Mathematics

1 answer:

Wewaii [24]4 years ago

8 0

61mm (b)
as the sum of two sides of a triangle is always greater than third

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Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following p

strojnjashka [21]

Answer:

P(X = 3) = 0.14680064

Step-by-step explanation:

Formula=============================

$p\left( X=k\right) =C^{k}_{n}p^{k}(1-p)^{n-k}\ \ ;\ k\in \left\{ 0,\ldots ,n\right\}$

……………………………………………………………………..

Given :

n = 8

p = 0.2

1 - p = 1 - 0.2 = 0.8

k = 3

Then

$p\left( X=3\right) =C^{3}_{8}(0.2)^{3}(0.8)^{5}$

$=0.14680064$

4 0

2 years ago

The greatest common factor of 18 and a mystery number is 6. Give three possible values for the mystery number.

ratelena [41]

The numbers could be 6, 12, 24.

5 0

3 years ago

find the permimter of the quadrilateral if x=2 the perimiter is in inches the perimiters are (4x2+8x) (31 ) (7x+30) (3x2-5x+20)

d1i1m1o1n [39]

Answer:

115

Step-by-step explanation:

4*2+8(2) = 24

7(2)+30 = 44

3*2-5(2)+20 = 6-10+20 = -4+20 = 16

24+31+44+16

115

8 0

3 years ago

Read 2 more answers

A particular sale involves four items randomly selected from a large lot that is known to contain 9% defectives. Let X denote th

umka2103 [35]

Answer:

The expected repair cost is $3.73.

Step-by-step explanation:

The random variable X is defined as the number of defectives among the 4 items sold.

The probability of a large lot of items containing defectives is, p = 0.09.

An item is defective irrespective of the others.

The random variable X follows a Binomial distribution with parameters n = 9 and p = 0.09.

The repair cost of the item is given by:

$C=3X^{2}+X+2$

Compute the expected cost of repair as follows:

$E(C)=E(3X^{2}+X+2)$

$=3E(X^{2})+E(X)+2$

Compute the expected value of X as follows:

$E(X)=np$

$=4\times 0.09\\=0.36$

The expected value of X is 0.36.

Compute the variance of X as follows:

$V(X)=np(1-p)$

$=4\times 0.09\times 0.91\\=0.3276\\$

The variance of X is 0.3276.

The variance can also be computed using the formula:

$V(X)=E(Y^{2})-(E(Y))^{2}$

Then the formula of $E(Y^{2})$ is:

$E(Y^{2})=V(X)+(E(Y))^{2}$

Compute the value of $E(Y^{2})$ as follows:

$E(Y^{2})=V(X)+(E(Y))^{2}$

$=0.3276+(0.36)^{2}\\=0.4572$

The expected repair cost is:

$E(C)=3E(X^{2})+E(X)+2$

$=(3\times 0.4572)+0.36+2\\=3.7316\\\approx 3.73$

Thus, the expected repair cost is $3.73.

4 0

3 years ago

In 2010, the continent of South America had a population of 395, 280, 204 Which of the following is the closest estimate of this

lesya [120]

Given:

The population of continent of South America in 2010 is 395, 280, 204.

To find:

The closest estimate of this number.

Solution:

We have,

$Population = 395, 280, 204$

The approximate value of this number is

$Population \approx 400, 000, 000$

The scientific form of this value is

$Population = 4\times 10^8$

Therefore, the correct option is C.

6 0

3 years ago