The current i in ameperes at time t in a particular circuit is given by i=12 sin 5 cos t find the maximum current

In a group of 10 kittens, 5 are female. Two kittens are chosen at random. a) Create a probability model for the number of male

olya-2409 [2.1K]

Answer:

(b) Expected number of male kitten E(x) = 1

(c) Standard deviation is ± $\frac{2}{3}$ .

Step-by-step explanation:

Given that,

Number of kittens in a group are 10. Out of these 5 are female.

To find:- (a) create a probability model of male kitten chosen.

So, total number of kitten = 10

number of female kitten = 5

then, Number of male kitten = $10-5= 5$

Now total number of ways to choosing two kittens from group of 10 = $^{10} C_{2}$

= $\frac{10!}{2!\times8!}$

= $45$

for choosing (i) No male P(x=0) = P(Two female) = $\frac{^{5} C_{2}}{45}$

= $\frac{2}{9}$

(ii) 1 male P(x=1) = P(1 male and 1 female) = $\frac{^{5} C_{1}\times^{5} C_{1}}{45}$ = $\frac{25}{45}$ = $\frac{5}{9}$

(iii) 2 male P(x=2)= P(2 male) = $\frac{^{5} C_{2}}{45}$ = $\frac{2}{9}$

$x_{i}$ 0 1 2

P(X= $x_{i}$ ) $\frac{2}{9}$ $\frac{5}{9}$ $\frac{2}{9}$

(b) what is expected number of male kittens chosen ?

Expected number of male kitten E(x) = $o\times \frac{2}{9} + 1\times \frac{5}{9} + 2\times\frac{2}{9}$

= $1$

(c) what is standard deviation ?

$\sigma(x) = \sqrt{ (E(x^{2} )-(Ex)^{2})$

No,

$Ex^{2} =o\times \frac{2}{9} + 1\times \frac{5}{9} + 4\times\frac{2}{9}$

= $\frac{13}{9}$

$\sigma(x)=\sqrt{\frac{13}{9} - 1 }$ $=\sqrt{\frac{4}{9} }$

= ± $\frac{2}{3}$

6 0

3 years ago

A circle has a radius that measures 9 centimeters what is the area of the circle to the nearest tenth use pie 3.14

Tanzania [10]

Step-by-step explanation:

Given

radius (r) = 9 cm

Area of the circle (A) 

= πr²

= 3.14 * 9²

= 3.14 * 81

= 254.34 cm²

5 0

3 years ago

I need help with my math

Komok [63]

The answer to your question is 162

2=2
2*3=6
2*3*3=18
2*3*3*3=54
2*3*3*3*3=162

5 0

3 years ago

If a parametric surface given by and , has surface area equal to 2, what is the surface area of the parametric surface given by

guajiro [1.7K]

2x it and then you get your answers for exalpes 3+1equalls 4

8 0

3 years ago

In one baseball season, Peter hit twice the difference of the number of home runs Alice hit and 6. Altogether, they hit 18 home

shutvik [7]

H = Alice's home runs
p = Peter's home runs

p = 2(h - 6)
p + h = 18

Simplified:
p = 2h - 12
p - 2h = -12

p + h = 18

Solve simultaneously:
p - 2h = -12 ...1
p + h = 18 ...2

1 - 2:
-3h = - 30
h = -30/-3
h = 10

Substitute into 2:
p + h = 18
p + 10 = 18
p = 18 - 10
p = 8

Therefore, Peter hit 8 home runs and Alice hit 10 homeruns.

6 0

3 years ago

The current i in ameperes at time t in a particular circuit is given by i=12 sin 5 cos t find the maximum current​

The current i in ameperes at time t in a particular circuit is given by i=12 sin 5 cos t find the maximum current