3, -9, 27, -81.......

Neither
Arithmetic
Geometric ​

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:

B

Step-by-step explanation:An ice machine uses 3 gallons of water every 9 hours. How many gallons of water does it use each hour? How many

hours does it take to use one gallon?

A)

b)

gallon per hour, 1 hour

gallon per hour, 3 hours

3 gallons per hour, 5 hour

gallon per hour,

1 hour

D

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:

f(6)=2

f(2)=4

f(0)=7

f(5)=1.5

f(x)=1 x=4

Step-by-step explanation:

f(x)=y.The numbers represent the x values. As you are plugging in a number for x. Just look at the graph on the x-axis to get the y-values.

Answer:

LB=12ft

Step-by-step explanation:

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:

39% , 0.39 , 39/100

Step-by-step explanation:

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

Answer:

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles. (Non-adjacent interior angles may also be referred to as remote interior angles.) FACTS: An exterior ∠ is equal to the addition of the two Δ angles not right next to it.

Answer:

The total cost of 1 belt and 1 tie is $13 and $39 respectively.

Step-by-step explanation:

Given that,

The cost of 4 belts and 5 ties is $247.

Each tie costs 3 times as much as a belt.

Let the cost of a belt is x and that of a tie is y.

ATQ,

4x + 5y = 247 ...(1)

y = 3x ....(2)

Put the value of y from equation (2) in equation (1)

4x + 5(3x) = 247

4x + 15x = 247

19x = 247

x = 13

Put the value in equation (2)

y = 3x

= 3(13)

= 39

So, the total cost of 1 belt and 1 tie is $13 and $39 respectively.

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:

Answer:

3.

Step-by-step explanation:

3 divided by 1 equals 3.

Please mark me brainliest I need it!!!

Answer:

A,C,D

Step-by-step explanation:

I got it right :D

Answer:

The second one is 70 for sure since 80% of 70 is 56.

The first one would just be 17r. You cannot get a number answer since time formula involves three variables and there is only 1 given variable.

Answer:

a)17 min(i am not sure)

b) 80/100 = 56/x

cross multiply

5600 = 80x

x = 5600/80

x = 70

ans 70 miles

3.75 miles

2,5 ÷ 40 =

0.0625

0.0625 × 60 =

3.75

Hope I helped!!

Answer:

sixteen i guess?

Step-by-step explanation:

abcdefghijklmnop

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.

a

0

=

4

a

i

=

a

i

−

1

+

7

XXXX

possibly with the restriction 1<=i<=4 if this is not intended to be a continuous sequence

Explanation:

This is a simple arithmetic sequence with a difference of  

7

between ascending sequence terms.

Answer:

[tex]cos(2x)+sin(x)=1-2\,sin^2(x)+sin(x)[/tex]

which agrees with the third option listed.

Step-by-step explanation:

I believe you meant to write the answer with only sin(x).

Use the double angle identity for the cos(2x) as shown below:

[tex]cos(2x) = cos^2(x)- sin^2(x)\\since \\cos^2(x) = 1-sin^2(x)\\then:\\cos(2x) = 1-sin^2(x)- sin^2(x)\\cos(2x)=1 - 2\,sin^2(x)[/tex]

Now we use this identity in the original expression to get:

[tex]cos(2x)+sin(x)=1-2\,sin^2(x)+sin(x)[/tex]

which agrees with the third option listed.

Answer:

5,000

Step-by-step explanation:

Answer:

2 x + 3 y

Step-by-step explanation:

Answer:

Jamie is 56 years old and savannah is 24 years old

Step-by-step explanation:

60 split in half 30, then savannah is 16 years younger than jamie so u subtract 16 from 30 and u get 14, then u add the 16 to the other 30 and get 46. Then you add 10 to each of  those numbers.

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:

6 cans will be defective

Step-by-step explanation:

do 50x0.12

Answer:

5:55

Step-by-step explanation:

just add it up and you'll get the answer which is 5:55

Answer:5:55

Step-by-step explanation: lol

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:

it is b, 42 units² I'm sure