In an election for school president, the loser received 70% of the winner's votes. If 969 votes were cast, how many did each receive?

Answer:

-8n+64

Step-by-step explanation:

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:

+20 bc 2x10= 20 so +20>20

Answer:

96

Step-by-step explanation:

Given that :

Standard deviation (s) = 2km

Error in estimation is within 0.4 km ; Error (E) = 0.4 km

Using the relation :

Sample size = ((Zα/2 * s) /E)^2

Using α = 0.05

The Zcritical at 0.05 = Z0.025 = 1.96

Sample size = ((1.96 * 2) / 0.4)^2

Sample size = (3.92 / 0.4)^2

Sample size = 9.8²

Sample size = 96.04

Required sample size = 96

Answer:

I suggest you use Socratic, it solves questions like this.

Step-by-step explanation:

Answer:

0.0952

Step-by-step explanation:

Percent just divide by 100

9.52 ÷ 100 = 0.0952

Answer:

0.0952

Step-by-step explanation: In order to get a decimal out of a percentage you take the decimal and put it two places to the left. Hope this helps!

Answer:

Option C is correct option.

Step-by-step explanation:

We need to find k constant of proportionality

In the graph below let us take the values of x and y

x=150 , y=50

x=300, y=100

x=450, y=150

Now finding k using the formula: [tex]k=\frac{y}{x}[/tex]

Putting values of x and y to find k

For x=150 , y=50 k = 50/150, k =1/3

For x=300, y=100 , k=100/300 , k=1/3

For x=450, y=150, k= 150/450 , k=1/3

Since for values of x and y, k = 1/3 is constant so, the graph shows two quantities that vary directly.

So, Option C is correct option.

First, you can find angle 1 by using the triangle angle formula, stating that all angles add up to 180 deg. Thus, angle 1 is equal to 180-72-57= 51 deg.

Next, you can find angle 2 by using the right angle shown. This means that angle 2 plus 72 deg = 90 deg. Thus, angle 2 is equal to 90-72= 18 deg.

For angle 3, notice that it is bordering the other angle on a straight line. A straight line is equal to 180 deg. This means that angle 3 + 57 deg = 180 deg. Thus, angle 3 is equal to 180-57= 123 deg.

Angle 4 can be found by using the triangle angle formula used for angle 1. In this case, angle 2+3+4 will equal 180 deg. Thus, angle 4 is equal to 180-18-123= 29 deg.

Answer:

1= 51

2= 18

3= 123

4= 39

Step-by-step explanation:

First you must know that all triangles equal 180. From there you can add and subtract the known numbers to get your answers. For example with angle 1, because you are give 72 and 57 you must add them together to get 129 then subtract that from 180 to get 51. You can do similar steps for all the angles to receive the answers.

Answer:

6.71

Step-by-step explanation:

If you want to put picture i would recommend using your phone to do it. :]

Answer: its 6.71

Step-by-step explanation:

Answer:

3a4b-c

3(4)4(3)-10

12(12)-10

144-10

=134

Step-by-step explanation:

Answer:

134

Step-by-step explanation:

3×4=12

4×3=12

12×12=144

144-10=134

thats what I got

hope it helps

Answer:

76

Step-by-step explanation:

Answer:

494 divided by 6.5 =76

Step-by-step explanation:

Answer:

x=−3±√5

Decimal Form:

x=−0.76393202…,−5.23606797

So D would be your answer

Step-by-step explanation:

Answer:

2)

d. -1 1/2

3)

c. 21 1/2

Step-by-step explanation:

Answer:

A. 2.10b + 12.99 = 21.39; 4 bottles

Step-by-step explanation:

The b represents bottles of water, at the end of the equation. If each bottle is $2.10, and there were 4 bottles brought, $2.10 * 4 = $8.40, and $8.40 + $12.99 is $21.39.

Step-by-step explanation:

Perhaps the equation is d=1/2at2 and you are given the distance (40 m) and acceleration (9.8 m/s2) and asked to find the time. or convert the equation in terms of t and then plug in the numbers to solve.

Answer:

Total people on the tour will be: 105 people

Step-by-step explanation:

Given that 84% of the people on the trail are on a hiking tour.

We need to determine how many people are on the tour.

i.e.

People are on the tour = 84% × 125

                                      = 84/100 × 125

                                      = 0.84 × 125

                                      = 105 people

Therefore, total people on the tour will be: 105 people

Answer:

I have no idea

Step-by-step explanation:

sigh

12345676543234567654323456788765 x 1234567654321234567 x 12345678876543234567876543234...

12345676543234567654323456788765 x 1234567654321234567

=

1.5241573e+49

1.5241573e+49 x 12345678876543234567876543234

=

1.8816757e+77

1.8816757e+77 x 4

=

7.5267028e+77

bro this was so hard , , ,

Answer:

C. It is not proportional because it is not a straight line.

Step-by-step explanation:

You can check to see if it is a straight line by setting up a table and ensuring that the values increase by the same amount every ordered pair.

------> The Answer Is C <------

Hope this helps have a good day :D

Answer:

slope = -5/2

Step-by-step explanation:

rise/run

down 5

right 2

Answer:

you need more than one point to find the slope of a line?

Step-by-step explanation:

answer: B

Step-by-step explanation: Its the only one that makes sense because as you see there are only four numbers to go off of, and b is the only one tht makes sense tbh

Step-by-step explanation:

2500×5%=125

125×2=250

2500+250=2750$

Answer:

2756.25 This is what he will pay going into the third year.

Step-by-step explanation:

This is not as simple as it looks. Is the base number always 2500 no matter how many years go by?

Or do you compound the rent after each Year.

Simple Interest

Rent after the first year

Rent after first year = 2500 + 5%*2500

Rent after first year = 2500 + 125

Rent after first year = 2625

The rent after the second year will be the same.

Compound interest.

Rent after first year is 2625

At the end of the second year it will be 2625 + 2625*5%

Second year payment = 2625 + 2625*5/100

Second year payment = 2625 + 131.25

Second year payment = 2756.25

Answer:

Uh I need more information to answer that.

Step-by-step explanation:

u only posted this: what is the lenght of AB. That isn't even how u spell length,  

AB could be anything.

Answer:

B

Step-by-step explanation: He will make two payments on the game system and then u divide the 175 with the 19.2 and that will give u the answer

Answer:

Step-by-step explanation:

Given tgat:

Regular price = $32

Discount = 20%

Sale tax = 8.1%