Help me please solve this

Answer:

The expected value of the sum of three numbers chosen out of 10 numbers will be 16.5.

Step-by-step explanation:

Felicia has a stack of 10 cards with number 1,2,3,4,5,6,7,8,9,10

Selecting 3 cards out of 10

10C3 = 120

Now she picks three cards to look at their numbers and sum it up

The possible three numbers are

(1 2 3), (1 3 2), (2 1 3) ,(2 3 1), (3 1 2), (3 2 1) ,(1 2 4), (1 4 2), (2 1 4), (2 4 1),

(4 1 2)│(4 2 1), (1 2 5), (1 5 2)│(2 1 5), (2 5 1) ,(5 1 2), (5 2 1), (1 2 6), (1 6 2), (2 1 6), (2 6 1), (6 1 2) ,(6 2 1) ,(1 2 7), (1 7 2) ,(2 1 7), (2 7 1), (7 1 2), (7 2 1), (1 2 8), (1 8 2), (2 1 8) ,(2 8 1), (8 1 2) ,(8 2 1), (1 2 9), (1 9 2), (2 1 9), (2 9 1), (9 1 2), (9 2 1),

(1 2... …, (6 10 8), (8 6 10), (8 10 6), (10 6 8), (10 8 6), (6 9 10), (6 10 9), (9 6 10),

(9 10 6), (10 6 9), (10 9 6), (7 8 9), (7 9 8), (8 7 9), (8 9 7), (9 7 8), (9 8 7), (7 8 10),

(7 10 8), (8 7 10), (8 10 7), (10 7 8), (10 8 7), (7 9 10), (7 10 9), (9 7 10), (9 10 7),

(10 7 9), (10 9 7) , (8 9 10), (8 10 9), (9 8 10), (9 10 8), (10 8 9), (10 9 8)

Now we sum it all up so minimum sum can be 1+2+3 = 6 andthe maximum can be 8+9+10 = 27

Let S denote the sum of the three numbers that are chosen and P(S=k) denotes its probability

P(S=6)=1/120  

P(S=7)=1/120

P(S=8)=1/60

P(S=9)=1/40

P(S=10)=1/30

P(S=11)=1/24

P(S=12)=7/120

P(S=13)=1/15

P(S=14)=3/40

P(S=15)=1/12

P(S=16)=1/12

P(S=17)=1/12

P(S=18)=1/12

P(S=19)=3/40

P(S=20)=1/15

P(S=21)=7/120

P(S=22)=1/24

P(S=23)=1/30

P(S=24)=1/40

P(S=25)=1/60

P(S=26)=1/120

P(S=27)=1/120

Now adding all the sum in order to get the expected value

∑(K=6 to 27) k*P(S=k) = 33/2 = 16.5

Therefore the expected value of the sum is 16.5.

Answer:

a

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

BRAINLIEST PLEASE

Answer:

sixteen i guess?

Step-by-step explanation:

abcdefghijklmnop

Answer:

5,000

Step-by-step explanation:

Answer:

She covered 2.5 miles, she rode for 0.25 hours.

Step-by-step explanation:

0.25*10=2.5

Answer:

2/8 and 1/8

Step-by-step explanation:

Answer:

[tex] \frac{6}{9} [/tex]

or

[tex] \frac{2}{3} [/tex]

Step-by-step explanation:

There are nine in total and she has eaten 6, so the fraction would be 6/9.

If you need to simplify it it would be 2/3.

Answer:

2 x + 3 y

Step-by-step explanation:

Answer:

the probability that the mean weight of the sample babies would differ from the population mean by less than 45 grams is 0.7284

Step-by-step explanation:

Given that

mean weight = 3831 grams,

variance = 108,900

sample size n = 65

the probability that the mean weight of the sample babies would differ from the population mean by less than 45 grams = ?

Now standard error of mean = √( 108900 / 65 ) = 40.9314

z = +/- (45/40.9314)

z = +/-1.0994

so

P( -1.0994 <z< 1.0994 ) = P( z<1.0994 ) - (p<-1.0994 )

= 0.8642 - 0.1358

= 0.7284

Therefore the probability that the mean weight of the sample babies would differ from the population mean by less than 45 grams is 0.7284

Answer: Minnie went 0.2142 yards in an hour.

Step-by-step explanation: If Minnie went half the distance, then you just divide 3/7 by 2.

Answer:

1/7

Step-by-step explanation:

Answer:

5 blue circles are equivalent to the orange square

Step-by-step explanation:

If you take away 2 blue circles from each side so that the orange square is by it's self, and the equation stays balanced, you will be left with 5 blue circles on the side without the orange square.

Answer:

5

Step-by-step explanation:

There are a total of 7 blue circles on the right side and 2 on the left.

You also know that both sides are equivalent.

You can assume that the all the blue circles have the same weight

If you subtract the only blue circles from the left from the 7 blue circles on the right you get

1 orange square on the left and 5 blue circles on the right.

Answer:

Step-by-step explanation:

This is a doozy. You have to know A LOT about parabolas to get to this answer. First and foremost, we will have to complete the square on the x terms and get everything else on the other side of the equals sign with the intention of putting this into standard form which looks like this:

[tex]-4p(y-k)=(x-h)^2[/tex]

The negative is because the parabola is upside down. We begin breaking it down by multiplying everything by -4 to get:

[tex]-4y=x^2+8x+8[/tex] and subtract that 8 from both sides to get:

[tex]-4y-8=x^2+8x[/tex]. Now we'll complete the square on the x terms by taking half the linear term, squaring it, and then adding it to both sides. Our linear term (the number with the x stuck to it) is 8. Half of 8 is 4 ad 4 squared is 16. So we add 16 to both sides to get:

[tex]-4y-8+16=(x^2+8x+16)[/tex]

The right side will simplify into a perfect square binomial and the left side we will just combine like terms to get:

[tex]-4y+8=(x+4)^2[/tex]

We're getting close. Now we need to just factor out the -4 on the left to get:

[tex]-4(y-2)=(x+4)^2[/tex]

If the standard form is -4p blah blah blah, then p has to be 1. That means that the focus is 1 unit below the vertex. The vertex is (-4, 2). p is the distance between the vertex and the focus. The focus is always on the axis of symmetry. We know that the parabola opens upside down because of the negative sign, and the parabola always wraps itself around the focus. That's why the focus is p units below the vertex. That means that the focus is located at (-4, 1).

Told you it was difficult. I noticed no one helped you with this one and it's been up here for 5 days...

Answer:

Step-by-step explanation:

Lets solve the expressions one by one

1. 7-5

we can see that it is simple subtraction. A smaller number is being subtracted from a large number.

So the answer is 2

2. -7+5

There are two numbers with different signs. When there is a number with plus and a number with minus both quantities are subtracted but the larger quantity determines the sign of the answer.

In this case, 7 is larger and has negative sign, the answer will be -2

3. -7-5

When there are two numbers with minus sign they are added but the answer has the minus sign with it.

So the answer will be: -12

4. 7-(-5)

When minus is multiplied with minus it converts to positive

So

[tex]= 7-(-5) = 7+5 = 12[/tex]

Hence,

Answer: try 18

Step-by-step explanation:

Answer:

Step-by-step explanation:

As per steps given the congruent pairs are:

So two sides and included angle - it represents side-angle-side or SAS congruency theorem

Answer:

-6 and -4.

Step-by-step explanation:

- 6 + - 4 = - 6 - 4 = -10.

- 6 times - 4 = 24, because multiplying 2 negatives gives you a positive.

A good way to approach these is to find the factors of 24.

Your answer is: -6 and -4.

Answer:

ok thanks

Step-by-step explanation:

Answer:

Step-by-step explanation:

thanks for the points

Answer:

y=-1/4x-6

Step-by-step explanation:

Y-intercept is -6 because that is where the line touches on the y-axis. For slope, pick two points and remember rise over run.

Pick (0,-6) and (4,-7) for example. Referencing the graph, from -6, count over and down until you get to (4,-7). The line represents a negative slope, so your slope is -1/4

Answer:

The answer is 4 5/12

Step-by-step explanation:

5/3 + 11/4

=5x4  -  3x4 +  11x3  -  4x3

=20/12 + 33/12

=53/12

Simplified

= 4 5/12

Hope this helps. :D

Answer:

the answer is D because all the others are false, but 1 &3 both have a rate of change of 2, but 1's y-intercept is 8 and 3's y-intercept is 5

Answer:

yep he is right

Step-by-step explanation:

Answer:

A,C,D

Step-by-step explanation:

I got it right :D

Answer:

A.)  9pencils

B.)   6 more Pencils than markers

Step-by-step explanation:

A.)1.08/ 0.12 = 9

B.) 2.18 - 1.08 = $1.10

1.10 / .36 = 3 Markers

HAVE A GREAT DAY!!! :)

Answer:

for the first question bonnie bought 9 pencils

and for the second question albert has 6 more pencils than markers

Step-by-step explanation:

hope this helped

Answer:

39% , 0.39 , 39/100

Step-by-step explanation:

I thought your randomness of letters was your question lol. Hope this helps though!

Answer:

3.

Step-by-step explanation:

3 divided by 1 equals 3.

Please mark me brainliest I need it!!!

Answer:

Step 1 Divide all terms by a (the coefficient of x2).

Step 2 Move the number term (c/a) to the right side of the equation.

Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

hope this help

but this is little info dont worry i will answer your question just in a minute

Step-by-step explanation: