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
3.Construct a line perpendicular to the line given through the point P at the right
Answer:
Step-by-step explanation:
Please help very urgent
Answer:
all sides are equal so the x is 50.1 degree and nearest 100 will be 100
please mark me as brainliest
Find the length, width and perimeter of 3 possible different rectangles given the area of 12 square units, Fill out the table below. PLS HELP
Answer:
Bussy
Step-by-step explanation:
Please help I’ll mark you as brainliest if correct
Answer:
X=28
Step-by-step explanation:
If x=28 then the degrees of the corners are 26, 84, and 70
Those added together equals 180 degrees, the amount of degrees a triangle is supposed to have.
Answer:
x = 28
Step-by-step explanation:
Okay, so we know that all the angles in a triangle are supposed to add up to 180°, and we already have our 26°, so we can take that off:
180 - 26 = 154
So our two angles add up to 156, so we set up our problem like this:
3x + 2x + 14 = 154
So now we combine like terms:
3x + 2x = 5x
So now our equation is:
5x + 14 = 154
So now we just have to do the inverse operations thing:
154 - 14 = 140
140 ÷ 5 = 28
So, x = 28
if this is wrong, let me know so I can fix it
hope this helps:)
Help me ASAP HELP ME ASAP HELP ME ASAP
9514 1404 393
Answer:
9%
Step-by-step explanation:
The interest earned is ...
I = Prt . . . . . principal P at annual rate r for t years
Solving for r, we find ...
r = I/(Pt) = $540/($3000×2) = 0.09 = 9%
The interest rate on Beka's loan is 9%.
George has $12, which is $7 more than Tom has. How much money does Tom have?
What is the perimeter?? Please help!
Step-by-step explanation:
perimeter of the given figure=24cm+24cm+30cm+20cm+20cm+20cm+5cm+5cm
=148cm
Answer:
148mm aka 1.48cm aka 1cm48mm
Step-by-step explanation:
to obtain the small thing between the"24mm" and"20mm":
(30mm-20mm)÷2
=5mm
so add up all those given information:
24mm+24mm+20mm+20mm+20mm+30mm+5mm+5mm
comment below if you still don't get it ;)
A bar of soap weighs 175 g. How much do 15 bars of soap weigh in ounces?
Answer:
92.59 ounces................
Answer:
92.5941501 ounces, 93 ounces if rounded to whole number, and 92.6 if rounded to the nearest tenth.
Step-by-step explanation:
Hope this helps! have a great day
Carlo rode his bicycle from his house to his friend Kevin's house. From there, he rode to a video game
store. Then he rode 3.2 kilometers from the video game store back to his house. The arrows in the grid
show the path Carlo traveled. How many kilometers did Carlo ride his bike? Round your answer to the
nearest tenth of a kilometer.
12.3 kilometers
10
9
8
6.5 kilometers
7
Kevin's House (25,6)
6
5
4
13.7 kilometers
3
2
Video Game Store (25,2)
15.7 kilometers
5 6 7 8 9 10
1 2 3 4
Carlo's House (0,0)
Answer:
The answer would be approximately 13.9, so if 13.9 is not a choice just pick what closest to it.
Step-by-step explanation:
Answer:
13.7
Step-by-step explanation:
Tiana deposited $500 into an account that earns 6% simple interest. How many years will it take for the value of the account to reach $2000
Answer:
Number of year = 50 year
Step-by-step explanation:
Given:
Amount deposit in account = $500
Rate of interest = 6 % = 0.06 (Simple interest)
Future amount = $2,000
Find:
Number of year
Computation:
A = P + I
2,000 = 500 + I
Amount of interest I = $1,500
I = PRT
1,500 = 500 x 0.06 x Number of year
1,500 = 30 x Number of year
Number of year = 1,500/30
Number of year = 50 year
rule y = x - 3
plz help me :(
#CarryOnLearning
#NoToCopyPaste
Correct me if im wrongIts base on my understanding
For brainly user:Just please, idols ,if we are going to answer questions here on brainly, don't do the ones from the internet, then just copy and paste
Just please, idols ,if we are going to answer questions here on brainly, don't do the ones from the internet, then just copy and paste You can search on the internet but make your own sentence okay? Thank you
Please dont delete this:((
Write an exponential function for the graph that passes through the points (0,4) and (2, 36). Use the formula y=ab^x
Answer:
Using the equation y = abx , substitute both of your given points into that equation.
2 = ab2 and 4 = ab3 Solve each equation for a.
2⁄b2 and 4⁄b3 = a Therefore, 2⁄b2 = 4⁄b3
Cross multiply: 2b3 = 4b2 Divide both sides by b2
2b = 4 a = 2/4 = 1/2
b = 2
y = 1 (2)x
2
Step-by-step explanation:
Select all the expressions that show a way to decompose 512. A. 3 1/2+2 1/2 B. 3/6+2/6 C. 1 1/2+2 1/2+2 1/2 D. 1 1/2+1 1/2+3 1/2 E.1 1/2+1 1/2+2 1/2+2 1/2
Answer:
C,D,E
Step-by-step explanation:
please help! Your swag ! :)
this my answer not sure you like it or not
Answer:
8: 0,-2 9: 7,-3 10: 7,1/2
Step-by-step explanation:
Hello, for question 8 (the top equation), you trying to find y and x so lets find y first. You need y to be by itself so you divide all the numbers by -3 like this:
6x/-3-3y/-3=6/-3
The equation simplifies to -2x+y=-2. You need y to be by itself so you move it to the other side and you get -2 for y. Now you need x. Go to the second equation and take the number that is y and plug it into the equation like this:
6x+8(-2)=-16
Multiply 8 with -2 which is -16. Then, you add -16 with -16 which makes 0.
6x=0
You then divide 6 on both sides and x is 0. You basically do the same process for questions 9 and 10 which are 7,-3 and 7,1/2. And your done!
to Find the quotient of 4÷1/5 multiply 4 by WHAT???
HURRY PLSS
Answer:
So 4 ÷ 1/5 = 4 × 5. So your answer is 5.
Write the ratio 1.5:9 in simplest form.
Answer:
1 : 6
Step-by-step explanation:
Evaluate (3.68)²26705
55
Answer:
I am sorry I need points I am really sorry
Answer:
Step-by-step explanation:
0.0000368
In a lab experiment, 290 bacteria are placed in a petri dish. The conditions are such
that the number of bacteria is able to double every 26 hours. How long would it be, to
the nearest tenth of an hour, until there are 330 bacteria present?
GUYS NEED HELP I HAVE A MATH TEST
Answer:
4.8
Step-by-step explanation:
what si the answer to this??
Answer:
One solution
Step-by-step explanation:
The slopes are different which means, the systems has one solution.
hope this helps and is right p.s. i really need brainliest :)
Tell whether the angles are complementary or supplementary. Then find the value of X
I need the answer please don’t scam with a link
HELP ASAP PLEASE
What’s the answer
Answer:
Step-by-step explanation:
function 2
pls help willl give brainlist
Answer:
15.1666666667
Step-by-step explanation:
A coin is flipped 50 times and lands on heads 28 times. What is the theoretical probability that the coin will land on heads on the next flip?
A) 32%
B) 50%
C) 56%
D) 64%
HELP ASAP oooooooooooooooooooooooooo
Answer:
The answer is b Maria will run 1.75 miles more than her goal.
Step-by-step explanation:
For this you take the total number of miles divided by miles per day. 17.5 divided by 2.75 is approximately six slightly over. That remaining time is less than 1 day so she can’t do 2.75 over her goal and the other options talk about going under so that leaves us with option two.
Hope this helps.
(NO LINKS) A space shuttle travels at 2.6 x 10,000 feet per second. An hour is 3.6 x 1,000 seconds. This expression can be used to find the number of feet the space shuttle travels in an hour. How many feet does the shuttle travel in an hour?
Answer:
1) 7.22 ft in a hr & 2) Choice C. y = 0.50x + 2
Step-by-step explanation:
1) Space shuttle
2.6 x 10,000 = 26,000ft
3.6 x 1,000 = 3,600 seconds = 1 hr
26,000/3,600 = 7.22 ft in a hr
2) Taxi company
y = 0.50x + 2
5. Carlotta's Beauty Supply store sells two brands of bar soap. A 6 pack of Brand A costs
$6.78 and an 8 pack of Brand B costs $8.40. What brand is the better buy?
PLEASE HELP!!!!!!!!!!!!
Answer:
I didnt get what the photo shows....
Step-by-step explanation:
Which line has a slope of 0?
Answer:
y =-10
Step-by-step explanation:
because there is no value of x so the slope of y is-10
I NEED HELP ASAP PLEASE HELP
Answer:
a) lilla has 1/5 of the book left to read
b) lilla has 15 pages left to read
Step-by-step explanation:
a) 1/5 + 3/5 = 4/5
b) 75÷ 5= 15
15× 4= 60
75-60= 15