REE A manufacturer of window frames knows from past experience that 10 per cent of the production will have some type of minor defect that will require adjustment. Suppose 20 window frames are selected at random: a. How many window frames would you expect to have minor defects? (2 points) b. Calculate the standard deviation for the number of window frames to have minor defects in this random sample of 20 window frames. (2 points) c. Calculate the probability that exactly 2 window frames will need minor . adjustment. (2 points) d. What is the probability that more than 3 window frames will need minor adjustments? (7 points) ​

The computation of the probability from the jackpots drawings of Lotto Texas shows that the number of different lottery tickets that could be sold is 25827165.

The number of different lottery tickets that could be sold will be:

= 54C6

= 54! / (54-6)!6!

= 54! / 48!6!

= 25827165

The number of ways that are there to match 5 of 6 numbers will be:

= 6C5 × (54 - 6)C1

= 6 × 48

= 288

The number of ways that are there to match 3 of 6 numbers will be:

= 6C3 × (54 - 6)C3

= 20 × 17296

= 345920

The number of ways that are there to match 4 of 6 numbers will be:

= 6C4 × (54 - 6)C2

= 15 × 1128

= 16920

Learn more about probability on:

https://brainly.com/question/25870256

Answer: t<40

8p+<184

Step-by-step explanation:

The inequalities representing the given condition will be [tex]t\leq40[/tex] and [tex]8p+t\leq184[/tex].

Given information:

A baker makes apple tarts and apple pies each day.

The baker receives a shipment of 184 apples every day.

A tart requires 1 apple and a pie requires 8 apples.

Let t be the number of tarts made each day and p be the number of pies made each day.

The baker makes no more than 40 tarts per day. So, the condition can be written as,

[tex]t\leq40[/tex]

And the condition for each day apple delivery can be written as,

[tex]8p+t\leq184[/tex]

Therefore, the inequalities representing the given condition will be [tex]t\leq40[/tex] and [tex]8p+t\leq184[/tex].

For more details, refer to the link:

https://brainly.com/question/19491153

Answer:

a) obtain a formula for g

=> g - 32 = 52

=> g = 52 + 32

b) Solve for g

=> 52 + 32

=> g = 84

Answer:

a) obtain a formula for g

Calculate the sum of first n natural numbers as sumtotal= n*(n+1)/2.

Create a variable sum to store the sum of array elements.

Traverse the array from start to end.

Update the value of sum as sum = sum + array[i]

Print the missing number as SumTotal – sum.

b) Solve for g​

g = 84

Answer:

z=25.45

because {45.28=19.83+25.45}

{45.28=45.28}

Answer:

B. 75.5 square inches

Step-by-step explanation:

Area (pentagon) = Area (rectangle) - Area (triangle)

= length x width - 1/2 x breadth x height

= 10 x 8 - 1/2 x 3 x 3

= 80 - 4.5

= 75.5 square inches

Solution :-

B. 75.5 square inches

Answer:

B) 75.5 in²

Step-by-step explanation:

Area of rectangle = width × length

⇒ area of rectangle = 8 × 10 = 80 in²

Area of triangle = 1/2 × base × height

⇒ area of triangle = 1/2 × 3 × 3 = 4.5 in²

Area of pentagon = area of rectangle - area of triangle

                              = 80 - 4.5

                             = 75.5 in²

Answer:

3 hours

Step-by-step explanation:

as jen took 3 hours maryana will take equal amount of time as jen

Well, we already know that it took Jen, 3 hours, by herself to complete half the work. Then, together they both completed it in half an hour. Now, you must summarize your given data.

3 hours = Half of the work for Jen

30 Minutes = Jen and Maryna Together To Finish

If the two girls were working at the same pace, it would take them an hour and a half. However, it only took them 30 minutes to complete that. Now, we realize that Maryna works 3x faster than Jen does.

The question is asking, how long would it take her to FINISH the job.

So that means, we must divide 3 by Jen's time.

3 / 3 = 1

So, that means that it would only take Maryna 1 hour to complete the rest of the job.

Answer:

65%

Step-by-step explanation:

You start by dividing 641.29 by 986.60 (641.29/986.60). This gets you .65, which as a percentage is 65%

The volume of the prism that its faces is made from 6 identical squares is 48 cm³.

A square prism is a 3-dimensional cuboid where the base and top are equal squares.

where

a = side length

h = height

Therefore,

a = 2 cm

h = 12 cm

Therefore,

v = a²h

v = 2² × 12

v = 4 × 12

v = 48 cm³

learn more on prism here: https://brainly.com/question/3533018

Answer:

288cm (cubed)

Step-by-step explanation:

4*2=8*12=96

6*2=12*12=144

2*2=4*12=48

144+96+48=288

Answer:

x=3

Step-by-step explanation:

In(x-1) = In(6) - In(x)

In(x-1) + In(x) = In(6)

In((x-1)x) = In(6)

In(x^2-x) = In(6)

x^2-x=6

x^2-x-6=0

x^2+2x-3x-6=0

x(x+2)-3(x+2)=0

(x-3)(x+2)=0

x=3 because x=-2 need to be cancel out

Answer:

(-2, -2)

Step-by-step explanation:

Firstly you can substitute the y= -6x -14 Directly into the other equation having one equation that looks like this 8x+3(-6x-14)= -22 then solve for X and substitute in the y equation you also get the y value

Answer:

(-2, -2)

Step-by-step explanation:

Answer:

Sensor Calibration

Convert between coordinate systems of every sensor, image, vehicle and global coordinate axis system. So data from a sensor can be mapped globally.

Calibration of a camera helps to convert a pixel in an image to

Computer Vision

Step-by-step explanation:

Answer:

[tex]3x^2 cos (\pi x)-\pi x ^3sin(\pi x)[/tex]

Step-by-step explanation:

Product rule, noticing that the second function is composed.[tex]g'(x) = (3x^2)\cdot cos(\pi x) + (x^3) \cdot [-\pi sin(\pi x)] = 3x^2 cos (\pi x)-\pi x ^3sin(\pi x)[/tex]

Hello!

We can use the product rule to differentiate this function.

Let g(x) = f(x) · h(x).

Recall the following:
[tex]\frac{dy}{dx} f(x) * h(x) = f'(x)h(x) + h'(x)f(x)[/tex]

In this instance, let:
[tex]f(x) = x^3\\\\h(x) = cos(\pi x)[/tex]

Differentiate each.

f(x):

Use the product rule:
[tex]\frac{dy}{dx}x^n = nx^{n-1}\\\\f'(x) = 3x^{3-1} = 3x^2[/tex]

h(x):
Use the chain rule.

[tex]h'(x) = \pi (1) * -sin(\pi x) = -\pi sin(\pi x)[/tex]

Now, we can use the above product rule.

[tex]g'(x) = 3x^2 * cos(\pi x) + (-\pi sin(\pi x) * x^3)\\\\\boxed{g'(x) = 3x^2cos(\pi x) - \pi x^3 sin(\pi x)}[/tex]

well, from 354000 to 414180, their difference is 414180 - 354000 = 60180.

if we take 354000 to be the 100%, what is 60180 off of it in percentage?

[tex]\begin{array}{ccll}amount&\%\\\cline{1-2}354000&100\\60180&x\end{array}\implies \cfrac{354000}{60180}=\cfrac{100}{x}\implies \cfrac{100}{17}=\cfrac{100}{x}\\\\\\100x=1700\implies x=\cfrac{1700}{100}\implies x=17[/tex]

The percent increase in the population is 17%.

The percentage is a ratio that can be expressed as a fraction of 100.

Given that, the population of the city increased from 354000 to 414180.

The amount of increase is:

414180 - 354000

= 60180

The percent increase is given by:

(60180/354000) × 100%

= 17%

Hence, the percent increase in the population is 17%.

Learn more on percentages here:

https://brainly.com/question/14979505

#SPJ6

9514 1404 393

Answer:

  1 : 400

Step-by-step explanation:

A meter is 100 cm, so 4 m = 400 cm.

  1 cm : 4 m = 1 cm : 400 cm = 1 : 400

Answer:

1:400 w7uwuwwuwiwiwyyyuuiyy

Answer: 120

Step-by-step explanation: To find the volume of these two combined, we must use V = s*s*s. 4 * 10 * 2 = 80, and 2 * 5 * 4 = 40, and since we are combining this together for an added volume (since it is a tower), it is 120 inches cubed.

Answer:

46.01

Step-by-step explanation:

i.e sum of all the purchases + 7% of the total purchase.

Answer:

x=25

All triangles must equal 180

95+35=130

Answer:

c

Step-by-step explanation:

Answer:

729 : 15,625

Step-by-step explanation:

the ratio of their areas is 27² : 125² = 729 : 15,625

Answer:

2.875

Step-by-step explanation:

Answer:

2.875

Step-by-step explanation:

its not a whole number its a fraction or decimal but i gave u the decimal

Answer: A) 21,369

Step-by-step explanation: since 21,369 can be divided by 3 and = a whole number then it's divisible and also it's divided without a remainder / it's compatible so, 21,369/3= 7,123 which makes (A) your correct answer

Answer:

4x - 8 = 15

4x = 15 + 8

4x = 23 (divide both sides by 4 to get x)

4x/4 = 23/4

x = 5.75

Step-by-step explanation:

x = 5.75!!!!!

Answer:

three

Step-by-step explanation:

The lateral faces are any faces besides the base.

In summary, we will count how many sides there are in a triangular pyramid, and subtract one for the base.

-> A triangular pyramid has four sides / faces

-> A triangular pyramid has three lateral faces

Answer: 3

Step-by-step explanation: i did the quiz

Answer:

The second option: Waxing crescent - first quarter; Waning gibbous - third quarter

Answer:

-459

Step-by-step explanation:

-52 - 407 = -552 + (-407) = -459

Answer:

Step-by-step explanation:

Opposite sides of a parallelogram are congruent, so:

[tex]8x+3=19 \longrightarrow x=2[/tex]

[tex]27=-y-5 \longrightarrow y=-32[/tex]

Answer:

15

Step-by-step explanation:

Answer:

Question (a)

[tex]x^2-a^2-bx-ab=0[/tex]

Write in standard form [tex]ax^2+bx+c=0[/tex]:

[tex]\implies x^2-bx-(a^2+ab)=0[/tex]

Therefore,

Using quadratic formula:

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

[tex]\implies x=\dfrac{b\pm\sqrt{(-b)^2+4(1)(a^2+ab)} }{2(1)}[/tex]

[tex]\implies x=\dfrac{b\pm\sqrt{b^2+4a^2+4ab} }{2}[/tex]

[tex]\implies x=\dfrac{b\pm\sqrt{(b+2a)^2} }{2}[/tex]

[tex]\implies x=\dfrac{b \pm (b+2a)} {2}[/tex]

[tex]\implies x=\dfrac{2b+2a} {2}=b+a[/tex]

[tex]\implies x=\dfrac{-2a} {2}=-a[/tex]

Question (b)

[tex]6x^2-15ax=2bx-5ab[/tex]

Write in standard form  [tex]ax^2+bx+c=0[/tex]:

[tex]\implies 6x^2-15ax-2bx+5ab=0[/tex]

[tex]\implies 6x^2-(15a+2b)x+5ab=0[/tex]

Therefore,

Using quadratic formula:

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

[tex]\implies x=\dfrac{(15a+2b)\pm\sqrt{(-15a-2b)^2-4(6)(5ab)} }{2(6)}[/tex]

[tex]\implies x=\dfrac{(15a+2b)\pm\sqrt{225a^2+60ab+4b^2-120ab} }{12}[/tex]

[tex]\implies x=\dfrac{(15a+2b)\pm\sqrt{225a^2-60ab+4b^2} }{12}[/tex]

[tex]\implies x=\dfrac{(15a+2b)\pm\sqrt{(15a-2b)^2} }{12}[/tex]

[tex]\implies x=\dfrac{(15a+2b) \pm (15a-2b) }{12}[/tex]

[tex]\implies x=\dfrac{30a }{12}=\dfrac52a[/tex]

[tex]\implies x=\dfrac{4b}{12}=\dfrac13b[/tex]

Question (c)

[tex]\dfrac{x^2}{x-1}=\dfrac{a^2}{2a-4}[/tex]

Cross multiply:

[tex]x^2(2a-4)=a^2(x-1)[/tex]

Write in standard form  [tex]ax^2+bx+c=0[/tex]:

[tex](2a-4)x^2-a^2x+a^2=0[/tex]

Therefore,

Using quadratic formula:

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

[tex]\implies x=\dfrac{a^2\pm\sqrt{(-a^2)^2-4(2a-4)(a^2)} }{2(2a-4)}[/tex]

[tex]\implies x=\dfrac{a^2\pm\sqrt{a^4-8a^3+16a^2} }{4a-8}[/tex]

[tex]\implies x=\dfrac{a^2\pm\sqrt{a^2(a-4)^2} }{4a-8}[/tex]

[tex]\implies x=\dfrac{a^2\pm a(a-4)}{4a-8}[/tex]

[tex]\implies x=\dfrac{a^2\pm (a^2-4a)}{4a-8}[/tex]

[tex]\implies x=\dfrac{2a^2-4a}{4a-8}=\dfrac{2a(a-2)}{4(a-2)}=\dfrac12a \ \ \ (a\neq 2)[/tex]

[tex]\implies x=\dfrac{4a}{4a-8}=\dfrac{a}{a-2} \ \ \ \ (a\neq 2)[/tex]