help me please I'm stuck on this question!!!!​

If x is an integer, and

x + (x + 1) + … + 2020 + 2021 = 2021

then of course

x + (x + 1) + … + 2020 = 0

and we can write the left side as a sum,

[tex]\displaystyle \sum_{k=0}^n (x+k) = 0[/tex]

with n such that x + n = 2020. (Notice that there are n + 1 terms in the sum.) Then x = 2020 - n, so that

[tex]\displaystyle \sum_{k=0}^n (2020 - n + k) = (2020 - n) \sum_{k=0}^n 1 + \sum_{k=0}^n k= 0[/tex]

Recall that

[tex]\displaystyle \sum_{k=1}^n 1 = 1 + 1 + 1 + \cdots + 1 = n[/tex]

[tex]\displaystyle \sum_{k=1}^n 1 = 1 + 2 + 3 +  \cdots + n = \frac{n(n+1)}2[/tex]

Then

[tex]\displaystyle (2020 - n) (n + 1) + \frac{n(n+1)}2= 0[/tex]

Solve for n :

(2020 - n) (n + 1) + n (n + 1) / 2 = 0

4040 + 4039 n - n² = 0

(n - 4040) (n + 1) = 0

⇒   n = 4040   or   n = -1

But we are taking the sum of a positive number of terms, so n = 4040.

Then since x + n = 2020, it follows that x = 2020 - 4040 = -2020.

Answer:

- 4

Step-by-step explanation:

Substitute x = - 2 into the expression

5x + 6 = 5(- 2) + 6 = - 10 + 6 = - 4

Answer:

the mean of this sequence of numbers is 99

Answer:

it is 99

Step-by-step explanation:

Answer:

√(4 - ( - 3))^2 + (2 - 1)^2

√(4 + 3)^2 + (2 - 1)^2

√49 + 1

√50

7.07 = 7.1 units

Using the binomial distribution, it is found that there is a 0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.

For each die, there are only two possible outcomes, either a 3 or a 4 is rolled, or it is not. The result of a roll is independent of any other roll, 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:

In this problem:

The desired probability is:

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

In which:

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

Then

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

[tex]P(X = 0) = C_{9,0}.(0.3333)^{0}.(0.6667)^{9} = 0.026[/tex]

[tex]P(X = 1) = C_{9,1}.(0.3333)^{1}.(0.6667)^{8} = 0.117[/tex]

Then:

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.026 + 0.117 = 0.143[/tex]

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.143 = 0.857[/tex]

0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.

For more on the binomial distribution, you can check https://brainly.com/question/24863377

Answer:

the +ve no. = 2

Step-by-step explanation:

let the number be x - 3

three more than a positive number = x

acc. to condition

x^{2}x

2

- 20 = x

x^{2} - x - 20 = 0x

2

−x−20=0

x^{2} - 5x + 4x - 20 = 0x

2

−5x+4x−20=0

x(x - 5) +4(x - 5) = 0x(x−5)+4(x−5)=0

(x+4)(x-5) = 0(x+4)(x−5)=0

Case 1

x + 4 = 0x+4=0

x = -4x=−4

the Number cannot be negative because the condition given in question

Case 2

x - 5 = 0x−5=0

x = 5x=5

Hence, the positive number

= x - 3=x−3

= 5 - 3=5−3

= 2=2 hope i help you

Answer:

The package label stated that the net weight is 381.8g If every package has ... brand of candies have a mean weight of 0.8616g and a standard deviation of ...

Answer:

7 Iron

Step-by-step explanation:

Just smort

Answer:

3×g=21

..............

Answer:

27

Step-by-step explanation:

let th original number=x

x+108=5x

5x-x=108

4x=108

x=108/4=27

Answer:

25 miles?

Step-by-step explanation:

Answer:

419

Step-by-step explanation:

a=3

d=11-3=8

[tex]a_{n}=a+(n-1)d\\n=53\\a_{53}=3+(53-1)*8\\=3+52*8\\=3+416\\=419[/tex]

Answer:

Here is my answer I have solved hope this helps

The amount Howie will pay back at the end of one year is $26000.00

The given parameters are:

[tex]P =25000[/tex] -- the principal amount

[tex]R = 4\%[/tex] -- the interest rate

[tex]T=1[/tex] --- the duration

The amount to pay back in this duration is then calculated using:

[tex]A = P(1 + RT)[/tex]

So, we have:

[tex]A = 25000(1 + 4\% \times 1)[/tex]

[tex]A = 25000(1 + 4\% )[/tex]

Express percentage as decimal

[tex]A = 25000(1 + 0.04)[/tex]

[tex]A = 25000(1 .04)\\[/tex]

Multiply

[tex]A = 26000[/tex]

Hence, the amount to pay back is $26000.00

Read more about simple interest at:

https://brainly.com/question/1115815

Answer:

Solution:

o -3.5

As number is negative so sign bit notation is 1.

o First convert 3.5 into binary Binary of 3.5 is 011.1

Mantissa field:

0111

radix in .0111 must be moved 3 bit to the right to obtain

011.1

So exponent is positive 3…

Final 8 bit floating point notation is

1

1

1

1

0

1

1

1

Step-by-step explanation:

Answer: the answer is x=72

Step-by-step explanation:

Step 1: simplify both sides we know 15=x/4 -3 (the x holds a invisible 1)

the equation should look something Like: 15=1/4x-3 then FLIP the equation such as:

1/4x-3=15 then add 3 on both sides so 15+3=18

step 2: our equation is now 1/4x=18  (we see 4 is being divided the opposite of division is multiply) therefor multiply the 18 with 4

18*4=72 which means x=72

Answer:

B

Step-by-step explanation:

2 times x is 2x

2*8=16

its B

Hey there!

2(x + 8)

DISTRIBUTE 2 WITHIN THE PARENTHESES

= 2(x) + 2(8)

= 2x + 16

Therefore, your answer should be: 2x + 16

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:

(

1

,

2015

)

Focus:

(

1

,

8061

4

)

Axis of Symmetry:

x

=

1

Directrix:

y

=

8059

4

x

y

−

1

2019

0

2016

1

2015

2

2016

3

2019

Step-by-step explanation:

The number of gang-related homicides in 2051 will be 3,104.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The function is given below.

N(x) = x² -2x + 2016

N represents the number of gang-related homicides across the country x years after 2017.

Then the number of gang-related homicides be 2051 will be given as,

N(2051 - 2017) = (2051 - 2017)² - 2(2051 - 2017) + 2016

N(34) = 34² - 2(34) + 2016

N(34) = 1156 - 68 + 2016

N(34) = 3,104

The quantity of pack-related homicides in 2051 will be 3,104.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ2

Answer:

2x - 10

Step-by-step explanation:

'x' = amount David has

Alexis = 2x - 10

Answer:

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Answer:

Negative correlation

Step-by-step explanation:

As TV hours increase, exercise hours decrease.

Answer: for 3) 427 hikers

Step-by-step explanation: b + 178 + b = 676

2b + 178 = 676

2b = 498

b = 249 bikers

h = 249 + 178 = 427 hikers

Answer: HK

Step-by-step explanation:

Answer:

B) 4cm

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

class C

Step-by-step explanation:

a=(17/25)=0.68

b=(13/20)=0.65

c=(7/10)=0.7

Answer:

Step-by-step explanation:

1. A boat is marked up 20% on the original price. The original price was $50. What is the sale price of the boat before sales tax?

$50(1+0.20) = $60

2. Fred buys a video game disk for $4. There was a discount of 20%. What is the sales price?

$4(1-0.2) = $3.20

3. A painting is on sale at 50% off. The sale price is $320. What was the original price?

X*(1-0.5) = $320

X = $320/0.5

X = $640

Answer: Who the actual fudge gardens anymore????? like what are you an old lady? ur name edna? ethel? doreen? geez louise u are old.

Step-by-step explanation:

Answer:

by doing that

Step-by-step explanation:

if x = y so y is z and you can find thatKegunaan Chi-Square:

Uji Chi Square berguna untuk menguji hubungan atau pengaruh dua buah variabel nominal dan mengukur kuatnya hubungan antara variabel yang satu dengan variabel nominal lainnya (C = Coefisien of contingency).