Answer:
blah blah blah blah blah blah blah blah blah
the arithmetic sequence ai is defined by the formula: a1 = -53 ai = ai-1 + 6 find the sum of the first 880 terms in the sequence
Answer:
The sum of the first 880 terms in the sequence is 2,273,920.
Step-by-step explanation:
Arithmetic sequence:
The difference between consecutive terms is always the same, called common difference, and the nth term is given by:
[tex]a_{n} = a_0 + (n-1)d[/tex]
In which d is the common difference.
Sum of the first n terms:
The sum of the first n terms of an arithmetic sequence is given by:
[tex]S_{n} = \frac{n(a_1+a_n)}{2}[/tex]
ai = ai-1 + 6
This means that [tex]d = 6[/tex]
In this question:
Sum of the first 800 terms, so [tex]n = 800[/tex]
First term is -53, so [tex]a_1 = -53[/tex]
The 880th term is:
[tex]a_{880} = -53 + (880-1)*6 = 5221[/tex]
Sum
[tex]S_{n} = \frac{880(-53+5221)}{2} = 440(-53+5221) = 2273920[/tex]
The sum of the first 880 terms in the sequence is 2,273,920.
1.
Which equation has a solution of 8?
A = 16
C 8
B =
r
8
B 4r = 16
D-2r= -16
Answer:
it's x + 2 = 10 ,x - 4 = 4 , 3 x =24 and x over 8 = 1
Step-by-step explanation:
I guess that's the right answer
One way of checking the effect of undercoverage, nonresponse, and other sources of error in a sample survey is to compare the sample with known facts about the population. About 12% of American adults identify themselves as black. Suppose we take an SRS of 1500 American adults and let X be the number of blacks in the sample. Use a Normal distribution to estimate the probability that the sample will contain between 165 and 195 blacks.
Solution :
Given :
p = 12% = 0.12
n = 15..
Mean is defined as the product of a sample size n and the probability p such that :
[tex]$\mu_X = np = 1500 \times 0.12$[/tex]
= 180
Standard deviation may be defined as the square of a product of the sample size n, the probability p and the probability 1-p :
[tex]$\sigma_X = \sqrt{np(1-p)}$[/tex]
[tex]$\sigma_X = \sqrt{1500 \times 0.12 \times (1-0.12)}$[/tex]
≈ 12.5857
The z-score is given by :
[tex]$z=\frac {x- \mu}{\sigma } $[/tex]
[tex]$z=\frac {165-180} {12.5857 }$[/tex]
≈ -1.19
[tex]$z=\frac {x- \mu}{\sigma } $[/tex]
[tex]$z=\frac{195-180} {12.5857 }$[/tex]
≈ 1.19
Now determining the corresponding probability using table :
P (165 ≤ X ≤ 195 ) = P (-1.19 ≤ Z ≤ 1.19 )
= 1-2 x P(Z < -1.19)
= 1-2 x 0.1170
= 1-0.2340
= 0.7660
= 76.60%
Given values,
p = 12%= 0.12
n = 1500The mean will be
→ [tex]\mu x = np[/tex]
By putting the values,
[tex]= 1500\times 0.12[/tex]
[tex]= 180[/tex]
The standard deviation will be:
→ [tex]\sigma x = \sqrt{np(1-p)}[/tex]
[tex]= \sqrt{1500\times 0.12\times (1-0.12)}[/tex]
[tex]= 12.5857[/tex]
The z-score will be:
→ [tex]z = \frac{x- \mu}{\sigma}[/tex]
[tex]= \frac{165-180}{12.5857}[/tex]
[tex]= -1.19[/tex]
and,
→ [tex]z = \frac{195-180}{12.5857}[/tex]
[tex]= 1.19[/tex]
hence,
The probability will be:
→ [tex]P(165 \leq X \leq 195) = P(-1.19 \leq Z \leq 1.19)[/tex]
[tex]= 1-2\times P(Z < -1.19)[/tex]
[tex]= 1-2\times 0.1170[/tex]
[tex]= 1-0.2340[/tex]
[tex]= 0.7660[/tex]
[tex]= 76.60[/tex] (%)
Thus the answer above is right.
Learn more about probability here:
https://brainly.com/question/13796006
Look at this square. Find the value of s.
Perimeter = 4 kilometers
S =
kilometers
Answer:
equivale 15. kilómetros. te lo aseguiro
Fill in the blank to complete the identity.
sin x =_____(COS X)
A) sec x
B) cot x
C) tan x
D) csc x
Answer:
answer will be option c tan x
pls Mark as brainliest
Multiply (6+3i)(3+i)
Suppose that the ingredients for a large bucket of popcorn cost a movie theater 80 cents
to buy. If the theater charges $9 for the bucket, what is the percent markup? Give your
answer as a percent rounded to the nearest whole percent.
Answer:
The percent markup is 91%.
Step-by-step explanation:
1. find the amount of profit per large bucket of popcorn
9 - 0.8 = $8.2
2. divide the amount of profit per large bucket of popcorn by the cost of a large bucket of popcorn
8.2 / 9 = 91%
Answer:
The percent markup is 91%.
1. find the amount of profit per large bucket of popcorn
9 - 0.8 = $8.2
2 divide the amount of profit per large bucket of popcorn by the cost of a large bucket of popcorn
8.2 / 9 = 91%
10^(4x−1)=2^5 round the answer to the nearest tenth
HELP!
finding missing angles in triangles worksheet answers house
Step-by-step explanation:
What exactly are you looking for?
what is the total of 8 and 4 times y
Answer:
12y?
Step-by-step explanation:
I’m assuming total meansd addition in this case and multiplying that by a variable or “y” would be 12y
i read the question wrong, nvm.
Evaluate the following algebraic expression at x = 4 and simplify your answer.
- 5x – 18 – 7x
WILL GIVE BRAINLIEST IF SOLVED IN 10 MINS : Solve each equation with the quadratic :
Answer:
5. x = -1 or x = -3
6. b = -2 or b = 6
7. n = 5 or n = 4
Step-by-step explanation:
5. x² + 4x + 3 = 0
Factorize
x² + 3x + x + 3 = 0
x(x + 3) +1(x + 3) = 0
(x + 1)(x + 3) = 0
Set each of the factors equal to zero and solve for x
x + 1 = 0 or x + 3 = 0
x = -1 or x = -3
6. b² - 4b - 14 = -2
Put all terms on one side of the equation leaving zero on one side
b² - 4b - 14 + 2 = 0
b² - 4b - 12 = 0
Factorize
b² - 6b + 2b - 12 = 0
b(b - 6) +2(b - 6) = 0
(b + 2)(b - 6) = 0
Set each of the factors equal to zero and solve for b
b + 2 = 0 or b - 6 = 0
b = -2 or b = 6
7. n² = 9n - 20
Put all terms on one side of the equation leaving zero on one side
n² - 9n + 20 = 0
n² - 5n - 4n + 20 = 0
n(n - 5) -4(n - 5) = 0
(n - 5)(n - 4) = 0
Set each of the factors equal to zero and solve for b
n - 5 = 0 or n - 4 = 0
n = 5 or n = 4
Without graphing, tell whether the line containing (6. -3) and (0, -8) is horizontal, vertical, or neither.
A neither
O B. vertical
ci horizontal
100 POINTS!!
What is the value of x? Enter your answer in the box.
Round the nearest hundredth. 53.789
Answer: 53.79
Step-by-step explanation:
add;200g+0.04kg=-----------dag
It's 200.04 dag
blah blah
Answer:
0.240kg
Step-by-step explanation:
the reason for this is because my teacher taught me this:
KHDMDCM
L
G
so you would go grams to kilograms and then you would find your answer because 200. +0.04 was the original equation correct so you would move the decimal in 200. back 3 times were you converted it to kilograms and the you would add so what your new equation is 0.200+0.04=0.240kg
can you guys help me on this please
[tex]9^{2}+a^{2}=15^{2} \\144=a^{2}\\a=12[/tex]
student were asked to choose their favorite subject if 4/8 of the student chose history and 3/8 chose biology what fraction chose either history or biology
Answer:
7/8
Step-by-step explanation:
Answer:
4/5
Step-by-step explanation:
everyday at 9:15 a.m. Jesse takes his dog for a walk for 30 minutes. he then takes the next 2 hours to work on his computer before he eats lunch. what time does he eat lunch?
Answer:
Jesse eats lunch at 11:45 a.m.
helpp:)))) PLS
Answer the following using >, <, or =. | − 4| ______ |4|
A: <
B: >
C: =
Answer:
=
Step-by-step explanation:
Because |-4| is basically 4 since its the absolute value of that..
Help me please I’m not smart -
Peterson Packaging Inc. does not currently pay dividends. The company will start with a $0.70 dividend at the end of year three and grow it by 10% for each of the next six years. After six years of growth, it will fix its dividend at $1.36 forever. If you want a 15% return on this stock, what should you pay today given this future dividend stream?
help plss i'm lost i need help
Answer:
2) +20
4) +14
5) -100
6) -17
7) 10
8) -9
9) -8
10) +11
Step-by-step explanation:
look at the words and it will tell you whether it's positive or negative
ex. one hundred feet below sea level- it says below which means you would be going down
HELP PLEASE ! 15 POINTS NO SCAM LINKS OR REPORTED.
Answer:
I think it is either C or D
Step-by-step explanation:
I'm so sorry id didn't find the answer, i tried
Harry wants to ride his bicycle the same of miles every day. His goal is to ride 46 miles. If he rides 4 miles each morning and 3 miles each night,how many days will it take him to reach 46 miles
Reuben will rent a car for the weekend. he can choose one of two plans. the first has no initial fee but costs $0.90 per mile driven. The second plan has an initial fee of $65 and costs an additional $0.70 per mile driven. How many miles would Reuben need to drive for the two plans to cost the same?
Answer:
80 miles for the .9 one.
Step-by-step explanation:
PLEASE HELP ME!!!! PLEASE HELP QUICK ILL GIVE U 73 POINTS PLS HELP
Answer:
3
Step-by-step explanation:
In this problem we need to kind of write the picture into an equation so the first thing we see are 4 xs on the far left-hand side this is representing "4x" then we see 5 - blocks on the right which represents "-5" because we have 5 minuses then on the other side we see 7 + blocks which represent just "7". After we identify everything in the picture we can write an equation so 4x -5 = 7. Then we solve so we need to separate x on one side and all the other numbers to the other to do that we can move the -5 to the side the 7 is on and because of math when we move a number to another side of the equation we have to switch the sign it has so if it was -5 then on the other side it would be 5 then we add 7 to 5 which would equal 12. Then we are left with 4x = 12 and to keep x on its own side we need to divide 4 from the other side because it is multiplying on the x side and again we need to switch the sign. then we are left with x=3. Hope this helps!
Julio spent $52.43 on batteries. If they cost $7.49/pack, how many packs did he buy?
Answer:
7
Step-by-step explanation:
52.43 ÷7.74=7
help pls will give brainliest !!!!
Answer:
can you retake the picture i cant really see this one very well
Step-by-step explanation:
Find the missing side length.
AJKL ~ AGKH