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This question is incomplete, the complete question is;

On the occasion of its 10-year anniversary, AJ Inc. sells lucky draw tickets. If the customers are interested in the lucky draw contest, then they have to purchase a ticket for $15. The gift could be worth $115, $215, $315, or nothing. The probability of each event is given below. What is the value of the standard deviation

Probability              0.35     0.26     0.21      0.18

Amount gained     $100     $200   $300    -$15

Option;

a) $11,143

b) $106

c) $10,200

d) $147

Answer:

the standard deviation is 106

Option b) $106 is the correct Answer

Step-by-step explanation:

Given the data in the question;

let the random variable be x

x = amount gained by customers in a lucky draw contest

so

Variance (x) = [∑(x² × P(x))] - [(∑(x × P(x))²]

so

x              x²               p(x)        x.p(x)       x².p(x)

$100      10,000        0.35       35           3,500

$200     40,000       0.26       52          10,400

$300     90,000       0.21        63           18,900

-$15         225           0.18       -2.7          40.5

TOTAL                                   147.3         32,840.5

Variance (x) = [∑(x² × P(x))] - [(∑(x × P(x))²]

we substitute;

Variance (x) = 32,840.5 - (147.3)²

Variance (x) = 32,840.5 - 21,697.29

Variance (x) = 11,143.21

Now Standard Deviation = √variance

so, S.D = √11,143.21

S.D = 105.56 ≈ 106

Therefore, the standard deviation is 106

Option b) $106 is the correct Answer

Answer:

if you're solving for M then your answer is

m = -19/17

Answer:

4

Step-by-step explanation:

Answer:

A:4cm

Step-by-step explanation:

Answer:

The values of x are:

[tex]x=3,\:x=7[/tex]

Step-by-step explanation:

Given the expression

[tex](x-2)^2-6(x-2)+5=0[/tex]

Expand (x - 2)² = x² -4x + 4

[tex]x^2-4x+4-6\left(x-2\right)+5=0[/tex]

Expand: -6(x - 2) = -6x + 12

[tex]x^2-4x+4-6x+12+5=0[/tex]

simplifying

[tex]x^2-10x+21=0[/tex]

Factor  x² -10x + 21:  (x - 3) (x - 7)

[tex]\left(x-3\right)\left(x-7\right)=0[/tex]

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

[tex]x-3=0\quad \mathrm{or}\quad \:x-7=0[/tex]

solving x - 3 = 0

x - 3 = 0

Adding 3 to both sides

[tex]x-3+3=0+3[/tex]

simplify

x = 3

solving x - 7 = 0

x - 7 = 0

Adding 7 to both sides

[tex]x-7+7=0+7[/tex]

Simplify

x = 7

Therefore, the values of x are:

[tex]x=3,\:x=7[/tex]

Answer:

$971(nine hundreds and seventy one dollars

Answer:

It would be at the 8th floor Hope it helped

Step-by-step explanation:

Answer:

100 more  silver.

Step-by-step explanation:

9514 1404 393

Answer:

  500 ÷ 8 = 62 r 4, for example

Step-by-step explanation:

In order to have a remainder of 4, the divisor must be greater than 4, so could be any of 5, 6, 7, 8, 9.

The corresponding numbers could be any of ...

  504 +5n . . . 0 ≤ n ≤ 19

  502 +6n . . . 0 ≤ n ≤ 16

  501 +7n . . . 0 ≤ n ≤ 14

  500 +8n . . . 0 ≤ n ≤ 12

  508 +9n . . . 0 ≤ n ≤ 10

__

For example, with the divisor being 6, and n=13, the number could be ...

  580 = 6·96 + 4

Answer:

y= 3x +1

Step-by-step explanation:

Slope-intercept form:

y= mx +c, where m is the slope and c is the y-intercept.

Gradient= [tex] \frac{y1 - y2}{x1 - x2} [/tex]

☆ (x1, y1) is the 1st coordinate and (x2, y2) is the 2nd coordinate

Using the formula above, slope of line

[tex] = \frac{19 - 7}{6 - 2} \\ = \frac{12}{4} \\ = 3[/tex]

Subst. m=3 into the equation:

y= 3x +c

To find the value of c, substitute a pair of coordinates.

When x= 2, y= 7,

7= 3(2) +c

7= 6 +c

c= 7 -6

c= 1

Thus, the equation of the line is y= 3x +1.

Answer:

b(1) = -3

b(n) = b(n-1) + 2

Step-by-step explanation:

Notice that there is a common difference in the sequence : each term is the previous one PLUS 2. Then the common difference "d" is 2 making this sequence an arithmetic sequence

b(1) = -3

b(n) = b(n-1) + 2

Answer:

Lo resuelves como de costumbre :)

Step-by-step explanation:

Answer:

218

Step-by-step explanation:

Answer:

25 cm is the perimeter...........

Answer:

25 cm

Step-by-step explanation:

When you are told that any figure is regular it means all the sides have the same value.

A pentagon has 5 sides.

Each side is 5 cm.

The perimeter is the addition of all the sides.

To find it we just multiply

5*5= 25 cm

Hope it was helpful ;)

Answer:

The probability that at least 1 defective card is in the sample is [tex]0.9644[/tex]

Step-by-step explanation:

Here

N = 140

and n = 20

We will use the below given formula

P(at least 1 defective) = 1 - P( 0 defectives)

P( 0 defectives) =

[tex]= \frac{^{20}C_0 * ^{120}C_{20}}{ ^{140}C_{20}}\\= 0.0356 1-0.0356 \\= 0.9644[/tex]

This question s incomplete, the complete question is;

The Watson family and the Thompson family each used their sprinklers last summer. The Watson family's sprinkler was used for 15 hours. The Thompson family's sprinkler was used for 30 hours.

There was a combined total output of 1050 of water. What was the water output rate for each sprinkler if the sum of the two rates was 55L per hour  

Answer:

The Watson family sprinkler is 40 L/hr while Thompson family sprinkler is 15 L/hr

Step-by-step explanation:

Given the data in the question;

let water p rate for Watson family and the Thompson family sprinklers be represented by x and y respectively

so

x + y = 55  ----------------equ1

x = 55 - y ------------------qu2

also

15x + 30y = 1050

x + 2y = 70 --------------equ3

input equ2 into equ3

(55 - y) + 2y = 70

- y + 2y = 70 - 55

y = 15

input value of y into equ1

x + 15 = 55

x = 55 - 15

x = 40

Therefore, The Watson family sprinkler is 40 L/hr while Thompson family sprinkler is 15 L/hr

Answer:

32 packs of crayons

Step-by-step explanation:

480 divided by 15 equals 32.

9514 1404 393

Answer:

  (3.4)

Step-by-step explanation:

The length of the given segment is 4.6 -1.0 = 3.6. The first portion of the division will be 2/(2+1) = 2/3 of that length, or (2/3)(3.6) = 2.4.

Then the coordinates of point R are ...

  (1.0) +(2.4) = (3.4)

__

Additional comment

We cannot tell if your coordinates are supposed to be Cartesian coordinates (1, 0) and (4, 6), or if they are points on a number line. As it happens, it makes no difference. The final answer is interpreted the same way the given coordinate points are interpreted: 3.4 on a number line or (3, 4) on a plane.

Answer:

Answer is B is the right answer

Answer:

The third one

Step-by-step explanation:

Since this is looking down on the cubes from above, I feel it is safe to assume that it is the third one.

From left to right, top to bottom:

3, 2, 2

2, 2, 1

2, 2, 1

We can see that all but 3 layers are 2 blocks high. The 3 block area is the top left corner, since it is 1 block higher than the 2 block areas, and the 1 block areas are the middle right and the bottom right areas.

Answer:

Daily Snowfall means the amount of snow that fell on a single day.

Hope this helps!!!

Answer:

B

Step-by-step explanation:

Answer:

y = 4x + 12

Step-by-step explanation:

y = mx + b

'm' represents slope

'b' represents the y-intercept

use the slope and the point (3,24) as your x and y inputs to find 'b'

24 = 4(3) + b

24 = 12 + b

b = 12

y = 4x + 12

Answer:

unlikely hope it helps

Step-by-step explanation:

9514 1404 393

Answer:

  ΔXXX ≅ ΔXXX

Step-by-step explanation:

All vertices have the same designation, so the congruence statement is ...

  ΔXXX ≅ ΔXXX

Answer:

Express your length and width as algebraic expressions:

width = x

length = 4x

Use the formula for the perimeter of a rectangle to solve for x:

perimeter = 2(length) + 2(width)

50 = 2(4x) + 2(x)

50 = 8x + 2x

50 = 10x

5 = x

The width (x) is 5 feet and the length (4x) is 20 feet.

Step-by-step explanation:

Answer: 3 by 3 by 12 by 12

Step-by-step explanation: Two sides are x feet long. The two other sides are 4 times x feet long. 4x+4x+x+x =10x

Set that equal to 30 and solve. x=3

Plug back into the original 4x's and x's to get the lengths

Answer:

The solution of the given inequality    [tex]x < \frac{c+ b}{a}[/tex]

Step-by-step explanation:

Explanation:-

Given that the constants a, b, and c are positive

Given inequality     a x - b < c

Adding 'b' on both sides, we get

                             a x - b + b < c

                       ⇒  a x < c + b

Dividing 'a' on both sides, we get

                            [tex]x < \frac{c+ b}{a}[/tex]

Answer:

2

Step-by-step explanation:

y = mx + b

y = total cost of the gym

m = cost per personal session

x = number of sessions

b = cost of one month

Silver gym:

y = 30x + 25

Fit Factor:

y = 20x + 45

Set them Equal to each other:

30x + 25 = 20x + 45                   (get Xs on one side by subtracting 20x)

10x + 25 = 45                              (isolate x by subtracting 25 from both sides)

10x = 20                                      (divide both sides by 10)

x = 2 personal training sessions to make the cost equal

Answer:

48

Step-by-step explanation:

multiply 8x6 which is 48 .....8,16,24,32,40,48

Answer:

E and F

Step-by-step explanation:

✔️To eliminate the variable y, we can multiply the first equation, -x + 4y = 1 by 7 and the second equation, 8x - 7y = 42 by 4. This will leave us with the variable x alone to solve for.

✔️Alternatively, we may decide to eliminate the variable x first by multiplying the first equation, -x + 4y = 1 by 8. Both equations would be equivalent, thus when we can easily eliminate the variable x leaving us with variable y to solve for.