A manufacturer of matches randomly and independently puts 23 matches in each box of matches produced. The company knows that one-tenth of 8 percent of the matches are flawed. What is the probability that a matchbox will have one or fewer matches with a flaw?

Answer:

8

Step-by-step explanation:

the one that the number has are the same is the data

The standard deviation of the data set is 1.6

The standard deviation is a measure of the amount of variation or dispersion of a set of values.

Here, given data

data(x)      frequency(f)                     xf                 d² = (x-mean)²       fd²

6                       2                               12                       4                       8

8                       3                               24                      0                       0

9                       1                                9                         1                       1

11                       1                                11                        9                      9

mean = ∑xf / ∑f

          = (12+24+9+11)/(2+3+1+1)

          = 56 / 7

mean = 8

Variance = ∑fd²/∑f

               = 18 / 7

              = 2.57

Standard Deviation = √variance

                                = √2.57

                               = 1.6

Thus, the standard deviation of the data set is 1.6

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Sara works 46 hours per week

9 hours are overtime and 37 hours are regular time

pay rate at time and a half: 10.20∗1.5=15.30

regular hours plus overtime pay

37∗10.20=377.40

9∗15.30=137.70

Income due to tips

Total hours worked∗60per hour∗20%

46∗60∗.20=552

Weekly Income=Hourly income + tips

Weekly Income=377.40+137.70+552.00

Weekly Income=1067.10

Annual income=Weekly income∗52

Annual income=55489.20

Answer:

He needs to paint 12 inches in height

and 42 inches in width

By observing the table it can be concluded that the value of A must be equal to 3x × (-x)

So, the value will be -3x^2

Answer:

B on EDG

Step-by-step explanation:

Answer:

y = 8

Step-by-step explanation:

The question is simply asking for the y-value when x = 6. We look at the graph when x = 6 and see what y-value it gives us. We find that when x = 6, we have y = 8.

Step-by-step explanation:

(2 / 3)(-4)(9) = (2 / 3) * 9 * (-4) = 6 * (-4) = -24.

(-3 / 4)(7 / 8) = (-3 * 7) / (4 * 8) = -21 / 32.

(2 and 3/5)(7 / 9) = (10/5 + 3/5)(7/9) = (13/5)(7/9) = 91 / 45.

(5 / 16)(-2)(-4)(-4/5) = (5 / 16)(4 / 5)(2)(-4) = (1 / 4)(2)(-4) = (-1)(2) = -2.

Hope this helps!

Answer:

x=3+√5 or x=3−√5

Step-by-step explanation:

Answer:

You can look at the screenshot

Step-by-step explanation:

So one point of the line is (0, -4) and another point is (4/3, 0). Plot these points on a graph and draw a line.

0, -4 is from making x = 0, and then 4/3, 0 is from making y = 0.

Answer:

Step-by-step explanation:

You start the question at -4 on the coordinate plane and then you would go up 3 units and 1 unit to the right since the slope of the equation 3/1. You would get your graph like that. And to go backward you would go 3 units down and 1 unit to the left.  

Answer:

1/24

Step-by-step explanation:

In the above question, we are asked to solve for:

start fraction, 3, divided by, 8, end fraction, divided by, 9, equals

Mathematically, this is represented as:

(3/8) ÷ 9

= (3/8) × 1/9

= 3/72

= 1/24

Therefore, start fraction, 3, divided by, 8, end fraction, divided by, 9, equals 1/24

Answer:

Perimeter = (4x + 12)

Step-by-step explanation:

As given in the question itself,

"Perimeter of a polygon is the sum of measures of all the sides of the polygon."

By this property expression to calculate the perimeter of the given polygon will be,

Perimeter = x + x + x + 2 + 2 + (x + 4) + 2 + 2

                = 3x + 4 + (x + 4) + 4

                = 4x + 12

Hence, Perimeter = (4x + 12)

Answer:

1,675.516

Step-by-step explanation:

The formula for a cone is V = pi r^2 h/3.

Plugging in the values of the radius and height, V = pi 10^2 16/3

Solving, you get:

V = pi 100 5.3333333

V = 1,675.516

Answer:

48

Step-by-step explanation:

Because you add 20 cm, 15 cm, and lastly 13 cm. Then you add it all together and get the answer.

Answer:

Step-by-step explanation:

Points scored by Hessa is as shown below;

Round 1 = 43 points

Round 2 = 26 points

Total points for both rounds = 43 + 26 = 69 points

To determine the sum she could use to add the points together, we must select the sum that will give us the same total of points for both rounds i.e 69 points.

The Round 1 score (43 pt)can also be expressed as (40+3) points

The Round 2 score (26 pt)can also be expressed as (20+6) points

The sum she could use to add the points together will be  (40+3)+(20+6)

which is also equal to  40 + 20 + 3 + 6  = 69points

Hence, option a is correct

Answer:

The vertex is ( -5,0)

Step-by-step explanation:

The vertex form of a parabola is

y = a( x-h) ^2 +k

where ( h,k) is the vertex

y=2(x+5)^2

y=2(x - -5)^2 +0

The vertex is ( -5,0)

Answer:

vertex = (- 5, 0 )

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = 2(x + 5)² , that is y = 2(x + 5)² + 0 ← is in vertex form

with (h, k) = (- 5, 0 )

Answer:

rectangular prism

Step-by-step explanation:

check by rotating the shape in images

Answer:

80%

Step-by-step explanation:

50 x 50 would be 100 and 50kg=100% and 10 x 2 = 20 so you used 20% therefore you have 80% left.

Answer:

80% of sugar left.

Step-by-step explanation:

If we start of with 50 kg of sugar and we take away 10 kg of sugar, we are left with [tex]50-10=40[/tex] kg of sugar.

To find the percentage of sugar left, we divide the decreased number by the original number.

[tex]\frac{40}{50} = \frac{4}{5} = 0.8[/tex]

If we have a decimal and want to convert it to a percentage, we multiply it by 100.

[tex]0.8\cdot100=80[/tex]

So, 80% of the sugar is left.

Hope this helped!

Answer:

55°

Step-by-step explanation:

The corresponding image, which I will attach, is missing in order to solve the exercise.

We know that the flat angle is 180 °, which we know to be the one that is formed with the horizontal, therefore the following equation remains:

55 ° + (70 ° + x °) = 180 °

we solve x °

x ° = 180 ° - 55 ° - 70 °

x ° = 55 °

So the value of x is 55 °

Answer:

36

Step-by-step explanation:

45*(9/5)=81(The whole score)

81-45=36(the second half score)

Answer:

36

Step-by-step explanation:

Because you multiply 9*9=81, and then 81-45=36, Because 9*5=45, so the answer is 36.

Answer:

[tex]y=-50x^2+300x+2000[/tex].

Step-by-step explanation:

It is given that a candle maker prices one set of scented candles at $10 and sells an average of 200 sets each week.  

[tex]Revenue=10\times 200=2000[/tex]

If he reduces the price by $1,then he sells 50 more candle sets each week.

[tex]Revenue=(10-1)\times (200+50)=9\times 250=2250[/tex]

If he reduces the price by x $1,then he sells 50x more candle sets each week.

[tex]R(x)=(10-x)\times (200+50x)[/tex]

[tex]R(x)=10(200+50x)-x(200+50x)[/tex]

[tex]R(x)=2000+500x-200x-50x^2[/tex]

[tex]R(x)=-50x^2+300x+2000[/tex]

It can be written as

[tex]y=-50x^2+300x+2000[/tex]

Therefore, the situation can be modeled by the equation [tex]y=-50x^2+300x+2000[/tex].

Answer:

This situation can be modeled by the equation y = -50 x2 + 300x +  2,000 and by graph Y.

Step-by-step explanation:

Your welcum

Answer:

i think its option b but im not sure

Answer:

24

Step-by-step explanation:

let the 2 digit number be ab then digit in unit place is 2 more than ten place

2 digit number is a a + 2 where b = a + 2.

Thus sum of digits = a + a + 2 = 2a + 2, then

ab + 3(2a + 2) = ba ← using place value of digits

10a + b + 6a + 6 = 10b + a, that is

16a + 6 + b = 10b + a ( subtract 10b + a from both sides

15a - 9b + 6 = 0 ← substitute b = a + 2

15a - 9(a + 2) + 6 = 0

15a - 9a - 18 + 6 = 0

6a - 12 = 0 ( add 12 to both sides )

6a = 12 ( divide both sides by 6 )

a = 2

Thus the number is 24

Answer:

0.987

Step-by-step explanation:

use stat on calculator

Answer:

8

Step-by-step explanation:

The y-intercept (b) of the function is the point at which the line of the graph of the given values of the table above crosses the y-axis, for which x = 0.

To find the y-intercept of the function represented by the tables, recall the equation of a straight line which is given as:

y = mx + b

Where, m is the slope = (y2 - y1)/(x2 - x1)

b = the y-intercept we are to find

y and x could be any values of a point on the graph which is represented in the table of values.

First, let's find the slope (m):

Let's use any 2 given pairs of the values in the table above.

Using,

(1, 4), (2, 0),

y1 = 4,

y2 = 0

x1 = 1

x2 = 2

m = (0 - 4)/(2 - 1)

m = -4/1 = -4

=>Using, y = mx + b, let's find the y-intercept (b), taking any of the coordinate pairs from the table of values given.

Let's use, (1, 4) as our x and y values.

Thus,

4 = -4(1) + b

4 = -4 + b

Add 4 to both sides to solve for b

4 + 4 = -4 + b + 4

8 = b

y-intercept of the function represented by the table of values = 8

Answer:

The board game store

Step-by-step explanation:

Just divide the store price by 4 and online by 5

Answer:

Toy store

Step-by-step explanation:

Let's find the unit rates for the toy store and the online store. To find the unit rate, divide the price by the number of board games.

price/board games

Toy Store

price/board games

The toy store sells 4 board games for $25.84

$25.84 / 4 board games

25.84/5

6.46

Online Store

price/ board games

The online store sells 5 board games for $32.15

$32.15 / 5 board games

32.15/5

6.43

At the toy store, a board game costs $6.46. Online, it costs $6.43.

6.46 is greater than 5.43, therefore, the toy store has the higher price for a board game.

Answer:

[tex]2^{-98}[/tex]

Step-by-step explanation:

[tex](\frac{2^{-10} }{2^{4} } )^{7}[/tex]

[tex](2^{-14})^{7}[/tex]

[tex]2^{-98}[/tex]

Answer:

[tex]\boxed{\frac{1}{2^{98}} }[/tex]

Step-by-step explanation:

[tex](\frac{2^{-10}}{4^2} )^7[/tex]

=> [tex](\frac{2^{-10}}{2^{2(2)}} )^7[/tex]

=> [tex](\frac{2^{-10}}{2^4} )^7[/tex]

Using law of exponents [tex]a^m/a^n = a^{m-n}[/tex]

=> [tex](2^{-10-4})^7[/tex]

=> [tex](2^{-14})^7[/tex]

=> [tex]2^{-98}[/tex]

=> [tex]\frac{1}{2^{98}}[/tex]

Answer:

The answer is 1/5

Step-by-step explanation:

Answer:

72%

Step-by-step explanation:

First find the number of mangoes

200 -56 = 144

Take the number of mangoes over the total

144/200

.72

Change to percent by multiplying by 100

72%

Answer:

72%

Step-by-step explanation:

If 56 of the 200 fruits were durians, then [tex]200-56[/tex] of the fruits were mangoes. Therefore, 144 of the fruits were mangoes.

Now we can set up a percentage proportion to find what percent of 200 144 is.

[tex]\frac{144}{200} = \frac{x}{100}[/tex]

Multiply the cross values and divide by the value thats diagonal to the variable.

[tex]144\cdot100=14400\\14400\div200=72[/tex]

So, the answer is 72%

Hope this helped!

Answer:

1-   1/3 x +3y=1

y=2/3 x-4    

solution : x=39/7 , y=-2/7

3x-2y=11

-3x-y=4   solution x=1/3, y=-5

Step-by-step explanation:

1/3 x +3y=1

y=2/3 x-4

solve by substitution for y in the first equation:

1/3 x + 3(2/3 x-4)=1

1/3 x+6/3 x-12=1

7/3 x=12+1

7/3 x=13 ⇒7x=39 ⇒x=39/7=5 4/7

y=2/3 x -4

y=2/3 (39/7)-4

y=72/21  -4

y=-4/7

second problem:

3x-2y=11

-3x-y=4    solve by elimination: add two equation to eliminate x

3x-2y-3x-y=11+4

-3y=15

y=15/-3 ⇒y=-5

substitute y in one of the equations: 3x-2y=11

3x-2(-5)=11

3x+10=11

3x=11-10

x=1/3

Answer:

Series A has an r value of 2/5 and series A has an r value of 3. The sum of the series A is 50/3

Step-by-step explanation:

A geometric sequence is in the form a, ar, ar², ar³, .  .   .

Where a is the first term and r is the common ratio = [tex]\frac{a_{n+1}}{a_n}[/tex]

For series A:  10+4+8/5+16/25+32/125+⋯   The common ratio r is given as:

[tex]r=\frac{a_{n+1}}{a_n}=\frac{4}{10} =\frac{2}{5}[/tex]

For series B: 1/5+3/5+9/5+27/5+81/5+⋯   The common ratio r is given as:

[tex]r=\frac{a_{n+1}}{a_n}=\frac{3/5}{1/5} =3[/tex]

For series A a = 10, r = 2/5, which mean 0 < r < 1, the sum of the series is given as:

[tex]S_{\infty}=\frac{a}{1-r}=\frac{10}{1-\frac{2}{5} } =\frac{50}{3}[/tex]

Answer:

I think its A.3not sure