Find the mode of the data set. 5, 3, 8, 4, 3, 2, 3, 4, 12, 12, 15, 4, 6, 3, 9

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.

Step-by-step explanation:

area of a rectangle bh

4x7=28

7x9=63

9x4=36

the only rectangle that has an area equal to 28 is the 4x7 which is the front face and back face.

Hope that helps :)

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%

[tex]9^{2}+a^{2}=15^{2} \\144=a^{2}\\a=12[/tex]

Answer: 53.79

Step-by-step explanation:

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

Answer:

80 miles for the .9 one.

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

52.43 ÷7.74=7

Answer:

7/8

Step-by-step explanation:

Answer:

4/5

Step-by-step explanation:

Answer:

can you retake the picture i cant really see this one very well

Step-by-step explanation:

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

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.

Answer:

equivale 15. kilómetros. te lo aseguiro

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,

           = 0.12

The 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

Step-by-step explanation:

What exactly are you looking for?

Answer:

Jesse eats lunch at 11:45 a.m.

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

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!

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

Answer:

=

Step-by-step explanation:

Because |-4| is basically 4 since its the absolute value of that..

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

Answer:

Step-by-step explanation:

(4a)^3

4^3 a^3

=12a