1. 3, 4
2. odd number, even number
3. 5, 5
4. odd number, odd number
5. 2, 3
6. 1, 3
7. 7, 1

This question is incomplete, the complete question is;

Two student council representatives are chosen at random from a group of 7 girls and 3 boys. Let G be the random variable denoting the number of girls chosen.

a) What is E[G] or range of G

b) Give the distribution over the random variable G

Answer:

a) E[G] is [ 0, 1 , 2 ]

b)

the distribution over the random variable G.

x     P(x)

0     0.0667

1      0.4667

2     0.4667

Step-by-step explanation:

Given the data in the question;

Number to be chosen is 2

from 7 girls and 3 boys

a) range of G

number of girls can be; [ 0, 1 , 2 ]

Therefore, E[G] is [ 0, 1 , 2 ]

b) he distribution over the random variable G.

Distribution of the random variable G is Hypergeometric;

so

with P( G=g ) = P( getting g girls from 7 and 2-g boys from 3)

= (([tex]^7C_g[/tex]) × ([tex]^3C_{2-g[/tex])) / [tex]^{10}C_2[/tex]

now since, the range of G is [ 0, 1 , 2 ]

P( G=0 ) = (([tex]^7C_0[/tex]) × ([tex]^3C_{2[/tex])) / [tex]^{10}C_2[/tex]

= [(7!/(0!(7-0)!)) × (3!/(2!(3-2)!))] / (10!/(2!(10-2)!))

= [1 × 3] / 45 = 3/45 = 0.0667

P( G=1 ) = (([tex]^7C_1[/tex]) × ([tex]^3C_{1[/tex])) / [tex]^{10}C_2[/tex]

= [(7!/(1!(7-1)!)) × (3!/(1!(3-1)!))] / (10!/(2!(10-2)!))

= [ 7 × 3 ] / 45 = 21/45 = 0.4667

P( G=2 ) = (([tex]^7C_2[/tex]) × ([tex]^3C_{0[/tex])) / [tex]^{10}C_2[/tex]

= [(7!/(2!(7-2)!)) × (3!/(0!(3-0)!))] / (10!/(2!(10-2)!))

= [ 21 × 1 ] / 45 = 21/45 = 0.4667

Therefore, the distribution over the random variable G.

x     P(x)

0     0.0667

1      0.4667

2     0.4667

Answer:

Determine if the expression -1−1 is a polynomial or not. If it is a polynomial, state the type and ... - did not match any documents.

Suggestions:

Make sure that all words are spelled correctly.

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Answer:

erm i think 5

Step-by-step explanation:

Answer 3/13

Step-by-step explanation:

There are 12 face cards, and 6 are black. Thus, the probability of choosing one would be 6/26, or 3/13

Answer:

26

Step-by-step explanation:

duh....

Answer:

1/2 x -10 ≥ 0

Step-by-step explanation:

We know that a square root must have an answer that is greater that or equal to zero.  The result of a square root cannot be negative. What is inside the square root must be greater than or equal to zero.  To find the domain we solve that equation to determine the value of x.

1/2 x -10 ≥ 0

Answer:Answer:

Answer:[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex]by using Pythagoras law:h²=p²+b²

10²=x²+8²

x=√36=6 units.

Answer:

I can´t see...

Step-by-step explanation:

Answer:

36% is the  joint probability that a flight arrives late because of weather and ground operations

Step-by-step explanation:

Given

% of flight late because of weather = 0.75

% of flight late because of ground operation = 0.35

% of flight late because of both weather and ground operation = 0.10

The probability of joint probability that a flight arrives late because of weather and ground operations is equal to

p (A and B) + {P(A) * P(B)}

0.10 + (0.75 * 0.35)

0.36

or 36%

Answer:36%

Step-by-step explanation:0.10 + (0.75 * 0.35)=0.36 then turn it to a percent which is 36%.

11:59 AM is midday not midnight

Answer:

140 lunch items

Step-by-step explanation:

The unit ratio is 5:2

So if we take that and multiply it by 20 we get 100:40. 100+40 is 140

Answer:

140

Step-by-step explanation:

well if there is 25 hamburgers to 10 hot dogs, than 25 times four is 100 and 10 times four is 40 so 140 but i dont know if i did it right

9514 1404 393

Answer:

  12 minutes

Step-by-step explanation:

The volume of the aquarium is ...

  V = LWH

  V = (25 in)(19 in)(12 in) = 5700 in³

The time required to empty it is given by ...

  time = quantity/rate

  time = (5700 in³)/(475 in³/min) = 12 min

It takes 12 minutes to empty the aquarium.

Answer: 1/3

Step-by-step explanation:

Each friend gets 1/3

1/3 / 9 = 3

Answer:

Step-by-step explanation:

Given that:

the differential equations:

[tex]\dfrac{dx}{dt}= x+y = 1 \\ \\ \dfrac{dy}{dt}= 1-x^2+y^2[/tex]

For x-nullcline;

[tex]\implies \dfrac{dx}{dt} =0 \\ \\ \implies x+y-1[/tex]

From the image attached below, the sketch of the x-nullcline was carefully drawn and the regions were identified.

So, x-increases at the time when [tex]\dfrac{dx}{dt}>0[/tex]

[tex]\implies x+y -1 >0[/tex]

Thus, the solution move towards the right for  x+y>1

Answer:

3.259259259259 in²

Step-by-step explanation:

Answer:

3 7/27

Step-by-step explanation:

Ok so first you do

2×1 = 2, then

2×2/9 = 4/9, then

1×2/3 = 2/3, then

2/3×2/9 = 4/27, then add all of those...

2+4/9+2/3+4/27= 3 7/27    

Hope this helps!! :D

Answer:

Decision Rule; Reject H₀ if t > 1.708

Step-by-step explanation:

Given the data in the question;

sample size n = 26

sample mean x' = 4.9

Variance = 0.81

standard deviation σ = √variance = √0.81 = 0.9

level of significance ∝ = 0.05

Claim;

Null hypothesis             H₀ : μ = 4.6

Alternative hypothesis H₁ : μ > 4.6

Test Statistics;

Right tailed test

Now, decision rule for rejecting H₀;

degree of freedom df = n - 1 = 26 - 1 = 25

so, Right tailed test { > in H₁ }

Hence, Critical Value = [tex]t_{\alpha ,df[/tex] = [tex]t_{0.05, 25[/tex] = 1.708

Decision Rule; Reject H₀ if t > 1.708

Answer:

(3 × 2x^8y^5) hope this helps

Answer:

From the graph, we can see the parabola cuts the x-axis at two different points and those will be the solution of our equation.

solution of  [tex]1/2x^{2} -x+4=0[/tex]

[tex]x=-4,2[/tex]

[tex]x_{1} =-4\\\\x_{2} =2[/tex]

[tex]-----------[/tex]

hope it helps...

have a great day!!

Answer:

B. y+ 4 = 3/4 (x-6)

Step-by-step explanation:

Given:

m = 3/4

Slope-intercept:

y - y1 = m(x - x1)

y + 4 = 3/4(x - 6)

Answer:

D)  (-8, 3)

Step-by-step explanation:

90° counterclockwise brings point to (-4, 3)

translation 4 units to left brings point to (-8, 3)

Answer:

2

Step-by-step explanation:

any expression divided by 1 remains the same

you can also calculate the factorial

Answer:

C. Mushrooms

Step-by-step explanation:

Mushrooms are known to be decomposers, they break down nutrients.

Answer:

volume of cylinder = πr^2h

=π (2)^2 * 5

= π* 4*5

= 20π unit^3

or

= 3.14* 4*5 = 62.8 unit^3

Answer:

c = 2.2m is the answer.

Step-by-step explanation:

a = 1m

b = 2m

c = ?

According to the Pythagorean theorem,

a² + b² = c²

1² + 2² = c²

1 + 4 = c²

c² = 5

c = 2.2m

∴ the slide is 2.2m long.

Answer:

the answer is A

Step-by-step explanation:

Answer:

The first skier goes at a speed of 11 kilometers per hour, while the second does it at a speed of 18 kilometers per hour.

Step-by-step explanation:

Given that two skiers are 43.5 kilometers apart and head towards each other, and they meet in 1.5 hours, if the second skier is 7 kilometers per hour faster the other, to find the speed of each skier the following calculation must be performed:

43.5 / 1.5 = 29

29 - 7 = 22

2/22 = 11

11 x 1.5 + 18 x 1.5 = X

43.5 = X

Thus, the first skier goes at a speed of 11 kilometers per hour, while the second does it at a speed of 18 kilometers per hour.

Answer:

D)75miles

Step-by-step explanation:

they were both traveling at 75 miles per hour and Kristin drove one hour more than Todd

D) 75 miles

Step-by-step explanation:

Todd drove 375 miles in 5 hours (75 mph). Kristin drove the same speed (75 mph) in 6 hours.

75 mph x 6 hours = 450 miles

450-375= 75 more miles

Answer:

314 cm^2

Step-by-step explanation:

(=^w^=)

A= 2*pi*r*h

A=2*pi*5*10

A=314.16 cm^2

Step-by-step explanation:

2×5×10=

10×10= 100 cm²

=100 cm²