Edna learned to sing a total of 16 pieces over the course of 8 weeks of voice lessons. After 10 weeks of voice lessons, how many pieces will Edna be able to sing, in total? Assume the relationship is directly proportional.

Answer:

Following are the solution to the given point:

Step-by-step explanation:

Grade of students:

Grade of student:

In point a:

Grade of [tex]9^{th}[/tex] students:

[tex]\to n= 6\\\\\to Mean = \frac{ \sum x_i}{n} \\\\[/tex]

               [tex]= \frac{ 5+1+2+5+2+8}{6}\\\\ = \frac{24}{6}\\\\ = 4[/tex]

[tex]\to Variance\\\\\sigma^2 = \frac{\sum(x_i -\bar{x})^2}{n-1}[/tex]

    [tex]=\frac{1}{5}(10)\\\\=2[/tex]

[tex]\to Standard \ deviation ( \sigma) :\\\\= \sqrt{\sigma^2}\\\\= \sqrt{2}\\\\= 1.141[/tex]

Since the Grade of [tex]9^{th}[/tex] student's variance is higher than [tex]12^{th}[/tex]grade,  

In point b:

Please find the attached file.

The plot above shows that the student of the ninth grade is spread more widely, as the student from 0-8 to 12 is from 0-4.

Answer:

Solved using binomial, probability = 5.7%

Step-by-step explanation:

Number of people (N) = 7

Probability of success (using phone) = 63% = 0.63

So, probability of failure (not using phone) = 1 - 0.63 = 37

Number of success (r) = 2

N c r . P^r . Q^n-r

7 c 2 (0.63)^2 (0.37)^5

= 21 (0.3969) (0.0069)

= 0.057

Answer:

30 meters per second I think

Answer:

[tex]14.16\\15. a) 14[/tex]

Step-by-step explanation:

[tex]14. We\ are\ given\ that,\\The\ assumed\ number\ x\ is\ 4\ more\ than\ 12\\Hence,\\x=4+12\\x=16\\Lets\ see\ that\ x=16\ as\ a\ solution,\ matches\ with\ the\ other\ information\ provided.\\We\ are\ also\ given\ that,\\x<20, 16\ is\ less\ than\ 20\ too.\\x>13, 16\ is\ greater\ than\ 13\ too.\\x<17, 16\ is\ less\ than\ 17\ too.\\As\ all\ the\ conditions\ are\ satisfied,\ x=16\ as\ a\ solution\ is\ verified.\\[/tex]

[tex]15. a)\\Let\ the\ assumed\ no.\ be\ y\\Here,\ we\ are\ given\ the\ following\ information\ about\ y:\\y>10,\\y<20\\y>12\\y<15\\Hence,\\The\ number\ y\ lies\ in\ between\ 12-15.\\Hence,\\y\ could\ either\ be\ 13,14.\ But\ the\ phrase\ 'Of\ the\ numbers\ are\ left\\ I\ am\ the\ greater\ number', tells\ us\ that,\ y\ is\ the\ greater\ no.\ among\ 13\ and\ 14.\\Hence\ as\ 14>13,\\y=14[/tex]

The common factors for 24,40,56 24 , 40 , 56 are −8,−4,−2,−1,1,2,4,8 - 8 , - 4 , - 2 , - 1 , 1 , 2 , 4 , 8 .

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

24 divided by 3  = 8

40 divided by 5 = 8

56 divided by 7 = 8

GCF is basically the greatest common factor. Mostly the greatest number factor of these multiples.

Explanation:

Answer:

x=4

Step-by-step explanation:

First subtract by doing 64 minus 36. You are left with 28, divide by 7 and your answer is 4.

Answer: X = 4

Step-by-step explanation:

7x+36=64

7x+36−36=64−36

7x=28

Divide both sides by 7.

7x

7 =

28

7

x=4

HOPE THIS HELPS!!!!!! : )

Answer:

Step-by-step explanation:

Initial number is 1 so a = 1

Weekly growth rate is 400% which is 4 times increase, therefore b = 4

So the function becomes:

Answer:

232/15 [as an improper fraction] or 15 7/15 [as a mixed fraction]

Explanation:

16 - 8 / 15 =

(16) - (8 / 15) =

((16 × 15) / 15) - ((8) / 15) =

((240) / 15) - ((8) / 15) =

(240 - 8) / 15 =

232 / 15 =

15 7/15

Answer:

 y = -1/3x + 3 2/3

Step-by-step explanation:

step 1. find the slope of the given line

y2-y1/x2-x1          2 - 4/ 3 + 3 = - 1 / 3

take the opposite of that and there is your slope

step 2. plug in the values to the following equation using the given point:

y - y1 = m ( x - x1 )          y - 4 = - 1/3 ( x + 1 )

step 3. solve for y

y-4 = -1/3(x+1)

-1/3(x) and -1/3(1)  ----> y-4 = -1/3x-1/3

y-4+4 = -1/3x-1/3+4  ---->  y = -1/3x + 3 2/3

hope this helps. if you need more help lmk in the comments. i am in algebra two so you can trust me. Happy holidays

Answer:

Usha is correct

Step-by-step explanation:

See attachment

Given

Dimension of the development

[tex]Height = \frac{1}{2}\ mile[/tex]

[tex]Base = \frac{1}{2}\ mile[/tex]

Dimension of a football field

[tex]Length = 100m[/tex]

[tex]Width = 50m[/tex]

First, we calculate the area of the development.

Because it is triangular in shape, the area is:

[tex]Area = \frac{1}{2} * Height * Base[/tex]

[tex]Area = \frac{1}{2} * \frac{1}{2}mile * \frac{1}{2}mile[/tex]

Convert mile to meter

[tex]Area = \frac{1}{2} * \frac{1}{2}* 1600m * \frac{1}{2} * 1600m[/tex]

[tex]Area = \frac{1}{2} * 800m * 800m[/tex]

[tex]Area = 400m * 800m[/tex]

[tex]Area = 320000m^2[/tex]

The area of 50 football pitch is then calculated as:

[tex]Area = 50 * Length * Width[/tex]

[tex]Area = 50 * 100m * 50m[/tex]

[tex]Area = 250000m^2[/tex]

By comparison:

[tex]320000 > 250000[/tex]

Hence, Usha's thought is correct

3×2-2×y+c

hope that helps you

Answer:

lick a my suck a my

Step-by-step explanation:it is 3×2-2×y+c

Answer:

50  miles

Step-by-step explanation:

50 because 1 inch is 20 miles. There is two and a half inches.

Answer:

X = -6

Step-by-step explanation:

Add 8 to both sides

- 3x = 18

divide by -3

x = -6

Answer:

The varsity boys team

Step-by-step explanation:

Answer:

9/5 brainliest please

Step-by-step explanation:

Answer:

[tex] \frac{9}{5} \: or \: 1\frac{4}{5}[/tex]

Step-by-step explanation:

[tex] \frac{3}{7} \div \frac{5}{21} \\ \\ = \frac{3}{ \cancel7} \times \frac{ \cancel{21} \: \: \: \red{ \bold{3}}}{5} \\ \\ = 3 \times \frac{3}{5} \\ \\ = \frac{3 \times 3}{5} \\ \\ = \frac{9}{5} \\ \\ = 1 \frac{4}{5} \\ [/tex]

Answer:

basketballs

Step-by-step explanation:

a inequality is less then or greatee then the basketballs are more

Answer:

no

Step-by-step explanation:

if it's a prism then it wont have a square bottom

Answer:

c

Step-by-step explanation:

im sorry if it's not correct

Answer:

1. no

2. yes

3. no

4. yes

Step-by-step explanation:

only the second and last expression works. If x is the final cost, and it is 35% off, then you are subtracting 0.35xor keeping 0.65x

please give thanks by clicking heart button! :)

Answer:

the slope is 5 i do y feel like doing the work buuut ik im right mark me as brainlyest if im right

Answer:

vuguvcfhhhhhhhhcgyy

Answer:

x > 7

Step-by-step explanation:

Given

x - 7 greater than 0

Required

Solve as inequality and represent as a graph

greater than is represented with >

So, the equation is:

x - 7 > 0

Add 7 to both sides

x - 7 + 7 > 0 + 7

x > 0 + 7

x > 7

Next, the inequality is represented on a graph.

See attachment for graph

The shaded part of the graph represents the solution to the graph.

Answer:

100

Step-by-step explanation:

Answer:

C and D

Step-by-step explanation:

all you do is multiply :)