A producer of electronic book readers is performing a quality check to ensure the reader's backlight is working correctly. The plant manager tests 2,000 readers on Monday and finds that 8 have defective backlights. The fraction StartFraction 1 over x EndFraction is the experimental probability of a book reader having a defective backlight. What is the value of x?

Answer:

45° is the answer as to me check it ok

Answer:

The x-intercepts are (-2, 0) and (4, 0). I know this because it's written in intercept notation. To find the y-intercept we'll expand.

-(x + 2)(x - 4) = -x² + 2x + 8 so the y-int. is (0, 8). To find the rest we'll complete the square.

-x² + 2x + 8 = -(x² - 2x) + 8 = -(x -1)² + 1 + 8 = -(x - 1)² + 9 so the vertex is (1, 9) and the axis of symmetry is x = 1. This means that the domain is all real numbers and the range is y ≤ 9.

Answer:

Picture attached below.

Step-by-step explanation:

I hope it helps.

Answer:

Step-by-step explanation:

2y^4 x 5y^3 = 10y^7

3gh^2 x 4g^3h^3 = 12g^4h^5

Answer:

1) 10y^7

2)12g^4h^5

Step-by-step explanation:

First just multiply numbers the rule is to add the exponents and if it doesn't show an exponent it should be 1 as an exponent so 2x5 is 10 and 4+3 is 7 so 10y^7 you do the same for the other one

Answer:

If 1 pint is equal to 2 cups, then 5 pints would equal _5_ cups.

Step-by-step explanation:

Let's use a ratio to solve:

pints : cups

  1      :   2

  2     :   4

  3     :   6

  4     :   8

  5     :   10

There would be 10 cups in 5 pints.

Answer:

4 * 2 = 8 and 10^6 * 10^3 = 10^(6 + 3) = 10^9 so the answer is 8 * 10^9.

Answer: 16 + 55 = 71cm^2

Step-by-step explanation:

You want to divide this figure into 2 rectangles. There are two ways to do this, but either one will give you the same answer.

First One:

It has the dimensions of 5 and 11. 5 x 11 = 55cm^2

Second One:

This one wont be straightforward like the first one. You need to find these sides manually.

7 + x = 11

x = 4

Then,

9 - x = 5

x = 4

4 x 4 = 16cm^2

Answer:

[tex]\mathrm{C}[/tex]

Step-by-step explanation:

[tex]3-\frac{x}{2}\ge 15[/tex]

[tex]3-\frac{x}{2}-3\ge \:15-3[/tex]

[tex]-\frac{x}{2}\ge \:12[/tex]

[tex]-\frac{x}{2} \times 2 \ge \:12 \times 2[/tex]

[tex]-x\ge \:24[/tex]

[tex]x\le -24[/tex]

Answer:

The answer is A

Step-by-step explanation:

Traingle ABC is congruent to traingle EFD by hl rule

Answer

A

Step-by-step explanation:

a polynomial only consist of multiplication, addition, and subtraction, and no division

Answer:

A

Step-by-step explanation:

Answer:the SAS similarity theorem

Step-by-step explanation:

Answer:

[tex](f*g)(x) = x^4-7x^3[/tex]

Step-by-step explanation:

[tex]f(x) = x-7\\g(x) = x^3[/tex]

Multiplying both would make

[tex](f*g)(x) = x^4-7x^3[/tex]

Answer:

|AC| = 4.47 units (question attached as image)

Step-by-step explanation:

The question lacks sufficient details. We wil however consider a similar example (image attached) to understand how to solve questions using Pythagoras theorem.

We will calculate for |AC| using Pythagoras theorem, we have:

|AC|² = |AB|² + |BC|²

|AC| = ?, |AB| = 4 units, |BC| = 2 units

|AC|² = 4² + 2² = 16 + 4

|AC|² = 20 ⇒ |AC| = [tex]\sqrt{20}[/tex]

|AC| = 4.472135955 ≈ 4.47

|AC| = 4.47 units

Answer:

C. 81

Cause I did the math.

Answer:

81 or C.

Step-by-step explanation: i did the test

Answer:n^39

Step-by-step explanation:

im not sure what the question is but if you were asking what n was you multiply 9 by 4 to get n^36 then add 3 to get n root 39

Answer:

119

Step-by-step explanation:

m - 1/m = 3

([tex](m-\frac{1}{m})^{2} = 9\\m^2 - 2 + \frac{1}{m^2} = 9\\ m^2 + \frac{1}{m^2}) = 11\\ \\[/tex]

[tex](m - \frac{1}{m}) ^4\\ = m^4 -4m^2 - \frac{4}{m^2} + 6 = 81\\ m^4 + \frac{1}{m^4} = 75 +4(m^2 + \frac{1}{m^2})\\ m^4 + \frac{1}{m^4} = 75 +4 * 11 = 119[/tex]

Answer:

the answer is 20.1 yd

Step-by-step explanation:

circumference= 2πr

where r is 3.2

pi is 22/7

c = 2/1 × 22/7 × 3.2/1

c = 140.8/7

c = 20.1 yd

The circumference of the circle is 20.12 yd. if the radius of the circle is 3.2 yd the answer is 20.12 yd.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have a circle shown in the picture.

The radius of the circle = 3.2 yd

As we know,

The circumference of the circle can be calculated using the formula:

C = 2πr

Here,

C is the circumference of the circle

r is the radius of the circle

r = 3.2 yd

C = 2π(3.2)

Take π = 22/7

C = 6.4π(22/7)

C = 140.8/7

C = 20.114

After round to the nearest tenth:

≈ 20.12 yd.

Thus, the circumference of the circle is 20.12 yd. if the radius of the circle is 3.2 yd the answer is 20.12 yd.

Learn more about circle here:

brainly.com/question/11833983

#SPJ2

Answer:

racheal

Step-by-step explanation:

Answer:

The average was 259.24 in 1996.

Step-by-step explanation:

In order to find the year that the average, "y", is 259.24 we need to apply this value on the given expression, as done below:

[tex]259.24 = 0.15*x + 255.34\\0.15*x = 259.24 - 255.34\\0.15*x =3.9\\x = \frac{3.9}{0.15}\\x = 26[/tex]

The average was 259.24 after 26 years, therefore it was in 1996.

Answer:

2/3 hours or 40 mins.

Step-by-step explanation:

No. of trees planted by David = 11

No. of hours worked by David to plant 11 trees = 7 1/3 hours = (7*3 + 1) /3 = 22/3

It takes him about the same amount of time to plant each tree

let time taken to plan 1 tree be x

then  time taken to plan 1*11 tree = 11*x

But, given that total time taken is 22/3 hours

thus,

11x = 22/3 hours

x = 22/(3 *11) = 2/3

Thus, it took 2/3 hours to plant each tree.

As 1 hour has 60 minutes

Time taken in minutes to plant 1 tree = 2/3 *60 mins = 40 mins

It takes David 2/3 hours to plant each tree.

Since it takes David 7 1/3 hours today to plant 11 trees.

Therefore time taken to plant 11 trees = 7 1/3 hours = 22/3 hours

The time taken to plant each tree = 22/3 hours ÷ 11 trees = 2/3 hours per tree

Therefore it takes David 2/3 hours to plant each tree.

Find out more at: https://brainly.com/question/16869288

Answer:

C

Step-by-step explanation:

you were told to draw a graph

f(x) or y is 4 when x less than or equal to 3. so you must draw straight horizontal line at y = 4 start from x = 3 to the left

(fx) or y is 2 when x bigger than 3. so, 3 is not included. so you must draw straight horizontal line at y = 2 start from x = 3 to the right with empty circle first (it means 3 not included)

Answer:

Surface area of the figure = 1000 in²

Step-by-step explanation:

From the figure attached,

Two rectangular prisms A and B have been shown with the dimensions.

Surface area of a rectangular prism = 2(length + width) × height

Surface area of prism A = 2(9 + 10) × 20

                                        = 760 in²

Surface area of prism B = 2(15 + 10) × 8

                                        = 16×25

                                        = 400 in²

But one surface of prism B along the width and the same area of prism A are hidden.

Area of the hidden surfaces = 2(10 × 8)

                                               = 160 in²

Total surface area of the figure = 760 + 400 - 160

                                                    = 1000 in²

Answer: Option C, the median is 5.

Step-by-step explanation:

The median is the value that is just in the middle of our data set (the possible values in the histogram)

the set is S = {2, 3, 4, 5, 6, 7, 8, 9}

And if we take in account the number of times that each value is repeated, we get:

S = {2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 9}

So we have 17 values, and the one exactly in the middle will be the median.

To find the point in the middle, we can use that we have 17 values, because 17 is odd, we can do

17 - 1 = 16

16/2 = 8.

17 - 8 = 9.

Then the 9nth point is our median:

the 9th point is a 5.

Then the correct option is C

Answer:

B

Step-by-step explanation:

Answer:

Tuesday

Step-by-step explanation:

Answer:

For the first blank, let's see how many numbers are in between 5 and 10. This is 5 (the numbers are 5, 7, 6, 6, 8). The second blank is 8 (the numbers are 10, 12, 10, 14, 13, 11, 12, 12), the third blank is 6 and the fourth is 1.

For the first blank, let's see how many numbers are in between 5 and 10. This is 5 (the numbers are 5, 7, 6, 6, 8). The second blank is 8 (the numbers are 10, 12, 10, 14, 13, 11, 12, 12), the third blank is 6 and the fourth is 1

Answer: See below

Step-by-step explanation:

The Pythagorean Theorem is a²+b²=c². Since each problem gives us the length of a, b, or c, we can directly plug them into this equation and solve.

Triangle EFG

9²+b²=41²

81+b²=1681

b²=1600

b=√1600

b=40

----------------------------------------------------------------------

Triangle PQR

20²+21²=c²

400+441=c²

c²=841

c=√841

c=29

----------------------------------------------------------------------

Triangle XYZ

a²+24²=25²

a²+576=625

a²=49

a=√49

a=7

Answer:

Answer = 2,335.52

Step-by-step explanation:

Given amount : 1,885

Finding 5%  of 1,885 =  0.05 * 1,885

5% of 1885 = 94.25

Now 1885 increased by 5% =  1,885 + 94.25= 1,979.25

Finding further 18% of 1,979.25 = 0.18 * 1,979.25

18% of 1979.25 = 356.265

Final amount = 1,979.25 + 356.265

Final Amount = 2,335.515

Now Rounding off the answer to 2 decimal points we get:

Answer = 2,335.52

(As the third digit after decimal is 5 so previous will be added b 1)

Answer:

She expect 9  postcards to be delivered within a week.

Step-by-step explanation:

We are given that The probability that any postcard posted in Portugal on Monday is delivered to the UK within a week is 0.62

We are also given that The probability that any postcard posted in Portugal on Friday is delivered to the UK within a week is 0.41.

Now we are supposed to find How many of her postcards can she expect to be delivered within a week if She posts 15 postcards to the UK on Monday.

So, The probability that any postcard posted in Portugal on Monday is delivered to the UK within a week =0.62

She expect no. of postcards to be delivered within a week.= [tex]15 \times 0.62[/tex]

She expect no. of postcards to be delivered within a week.=9.3

So, She expect 9  postcards to be delivered within a week.

Answer:

-3 Or 3 it could be any one of them

Step-by-step explanation:

-3 or 3

Rise/run so an