1. Đường kính của một loại trục máy là một đại lượng ngẫu nhiên có phân phối chuẩn N (μ = 250mm, σ2 = 25mm2). Trục máy được gọi là hợp quy cách nếu đường kính từ 245mm đến 255mm. Cho máy sản xuất 100 trục. Tính xác suất để:
a. Có 50 trục hợp quy cách.
b. Có không quá 80 trục hợp quy cách

The first term of an AP = p

The common difference = q

We know that

nth term of an AP = a+(n-1)d

10th term = a+(10-1)d = a+9d

t10 = p+9q

Tenth term of the AP is p+9q

also read similar questions: a) The sixth term of an AP is twice the 3rd term and the first term is 3. Find the common difference and the 10th term....

https://brainly.com/question/19517085?referrer

If the 17th term of an AP exceeds the 10th term by 7, then the common difference is_____

https://brainly.com/question/16821782?referrer

Answer:

Y=1/5x+ -2

Step-by-step explanation:

Hope this helps

Answer:

X = -1 (unsure as to how this is not an answer but I have checked my work)

Step-by-step explanation:

( f(x) = y )

1. y = 2x + 2

  -2         -2

2. -2 = 2x

    /2     /2

3. -1 = x

.7 is the nearest tenth to the number .6752 because of the 1-4 rounds down and 5-9 round up.

Answer:

Step-by-step explanation:

6750

Answer:

Step-by-step explanation:

=> -57 = 16 + 5m

=> 16 + 5m = -57

=> 16 + 5m - 16 = -57 - 16

=> 5m = - 73

[tex] = > \frac{5m}{5} = \frac{ - 73}{5} [/tex]

=> m = -14.6

Hence, required value of m = -14.6 (Ans)

Answer:

_14.6

Step-by-step explanation:

-57 = 16 + 5m

-57 - 16 = 5m

-73 = 5m

÷5] - 14.6 = m

Nb.... M = - 14.6

[tex]{\huge{\boxed{\mathbb{QUESTION}}}[/tex]

2d +9= 19

The solution is d =

[tex]{\huge{\boxed{\mathbb{ANSWER\:WITH\:EXPLANATION}}}[/tex]

Hello there, first we can place our equation, which you have stated

[tex]2d+9=19[/tex], this algebra, in algebra we want to find the exact value of the variable, or have the variable on one side of the equation.

First we can subtract [tex]9[/tex] with both sides of the equation giving us the result of [tex]2d=10[/tex], this can also be represented as [tex]2\cdot d=10[/tex], now just divide both sides of the equation by [tex]2[/tex], our answer is [tex]d=5[/tex].

_____________________

[tex]{\huge{\boxed{\mathbb{ANSWER}}}[/tex]

_____________________

Answer:

the domain is {7,-4,1,4,}

the range is {1,-5,2,-7}

Step-by-step explanation:

The absolute difference between the greatest and the least of these three numbers in the arithmetic sequence is 10.

The sequence is an arithmetic sequence. Therefore,

d = common difference

let

a = centre term

Therefore, the 3 consecutive term will be as follows

a - d,  a, a + d

a - d +  a + a + d = 27

3a = 27

a = 27 / 3

a = 9

Therefore,

(a-d)² + (a)² + (a + d)² = 293

(a²-2ad+d²) + 9² + (a² + 2ad + d²) = 293

(81 - 18d + d²) + 81 + (81 + 18d + d²) = 293

243 + 2d² = 293

2d² = 50

d² = 50 / 2

d = √25

d = 5

common difference = 5

Therefore, the 3 numbers are as follows

9 - 5 , 9, 9 + 5 = 4, 9, 14

The difference between the greatest and the least of these 3 numbers are as follows:

14 - 4 = 10

learn more on Arithmetic progression: https://brainly.com/question/25749583?referrer=searchResults

Answer:

1156πcm²

Step-by-step explanation:

Diameter = 68cm

Therefore radius = 68 ÷ 2 = 34cm

Area of a circle = πr²

= π × 34cm × 34cm

= π × 1156cm

= 1156πcm²

NOTE: In case you're given the value of pi, substitute it into the formula to get your answer

Answer:

0 and -81

Step-by-step explanation:

So, we know anything times zero is zero, and anything added or subtracted to zero would give you that number, meaning one of these numbers is zero.

Zero plus -81 will give you the same number, -81, and zero times -81 will give you zero since anything added to or subtracted to zero is that number.

Answer: B) 335, 105, 430, 375, 265

Step-by-step explanation:

Since each number ends in either a 5 or a 0, they are all divisible by 5.

Therefore, B is the correct answer.

Answer:

335, 105, 430, 375, 265

335, 105, 430, 375, 265

Answer:

5

Step-by-step explanation:

y is always 5 times greater than x

Don't get me wrong, I am not exactly sure but I believe it is supposed to be 75$.

Answer: 13

Step-by-step explanation:

Distribute t.

Multiply 3 by each value in parentheses to get

3t - 12 = 2t + 1

Add 12 to both sides

3t = 2t + 13

Subtract 2t from both sides

t = 13

Answer:

t = 13

Step-by-step explanation:

[tex]3(t-4)=2t+1\\\\3t-12=2t+1\\\\t-12=1\\\\t=13[/tex]

Answer:

BEF

Step-by-step explanation:

Yeah-ya.............. right?

Answer:

TAY I THINK ITS TAY C PART TAY

Answer:

0,12,13,21,25

Step-by-step explanation:

jennifer-0, kamal-12, felipe -13, ellma-21, riley 25

basically least to greatest order

Answer:

0

Step-by-step explanation:

              -5                             5

           <-+-+-+-+-+-+l-+-+-+-+-+->

               l               0                l

<-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+->

-8 -7 -6 -5 -4 3 -2 -1 0 1 2 3 4 5 6 7 8

graph l. (l points down).   Thanks!

Answer:

the sum of a number and it's opposite= x - (x)

Step-by-step explanation:

The opposite number of 2 would be -2. The opposite number of 4 would be -4 and vice versa.

Because the oppposite number is just a number that is the opposite operation of something, finding the sum of a number and it's opposite will always make the sum 0.

Using the binomial distribution, it is found that:

For each person, there are only two possible outcomes, either they prefer saving, or they prefer spending. The preferences of each person are independent of any other person, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

The expected value is:

[tex]E(X) = np[/tex]

The standard deviation is:

[tex]\sqrt{V(X)} = \sqrt{np(1 - p)}[/tex]

In this problem:

Then:

[tex]E(X) = np = 4(0.6) = 2.4[/tex]

[tex]\sqrt{V(X)} = \sqrt{np(1 - p)} = \sqrt{2.4(0.6)(0.4)} = 0.76[/tex]

The histogram is sketched at the end of the answer.

You can learn more about the binomial distribution at https://brainly.com/question/24863377

Answer:

$1690

Step-by-step explanation:

equation: 60w+550=s

work: 60(19)+550=s

1140+550=s

1690=s

Answer:

Step-by-step explanation:

f ( x 2 − 3 x + 2 ) = − x 2 + 3 x + 3

f we plot the provided points, we'd end up with something like the picture below, which is a line, mind you a declining line from left to right, so we can pretty see it has a negative slope, to get the slope we can just pick any two given points and check what it might be as well as get its equation, hmmm let's use the points of (4,-8) and (2,8)[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-8})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{(-8)}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{4}}}\implies \cfrac{8+8}{-2}\implies \cfrac{16}{-2}\implies -8 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-8)}=\stackrel{m}{-8}(x-\stackrel{x_1}{4})\implies y =-8x+24[/tex]

so is linear because it has a slope (common difference) of -8,

Answer:

A is the correct solution

Step-by-step explanation:

     3x³ + 4x² + 0x - 1  /  x - 2

             3      10    20

-2 | 3       4       0    -1

 -  (3      -6)

             10       0

      -     (10    -20)

                      20    -1

                 -   (20  -40)

                              39

3x² + 10x + 20 + 39/(x - 2)

Answer:

(x - 10)(x + 2)

Step-by-step explanation:

We are looking for two things that multiply together to give us

x^2 - 10x - 20

These things are binomials, such as (x+2) or (x-7) or (x+8) or (x-5)

We know the first term in the binomial has to be x, because x times x is x^2.

And then we are looking for two numbers that multiply to -20 but also add up to -8.

-10 and 2 multiply to make -20 and add up to -8 so we pick the answer (x-10)(x+2)

Answer:

Option C

Step-by-step explanation:

x² - 8x - 20

x² - (10x - 2x) - 20

x² - 10x + 2x - 20

x(x - 10) + 2(x - 10)

(x - 10)(x + 2)

Hence

Option C is correct

Answer:

D

Step-by-step explanation:

(point D)

Answer:

Point D

Step-by-step explanation:

5 units right on the x axis, 3 units down on the y-axis.

Answer:

Step-by-step explanation:

power = work / time

work = force x distance

force = newtons

w = fd

w = 40N(8m)

w = 320J

p = w/t

p = 320J/3s

            __

p = 106.66

(sixes repeat)