MATHEMATICS MIDDLE SCHOOL

Calculate the mean and standard deviation 3,5,6,9,11,12,17

Answers

Answer 1

Answer:

Answer:

9 and 3.35 respectively

Step-by-step explanation:

Mean=Sum of data÷No. of data

=(3+5+6+9+11+12+17)÷7

=63÷7

Standard Deviation=√{(sum of squares of data÷no. of data)-(sum of data÷no. of data)

=√(705÷7)-(63÷7)

=√100.71÷9

=√11.19

=3.35

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mr.chan made 252 cookies for the annual fifth grade class bake sale . they sold 3/4 of them and 3/9 of the remaining cookies were given to P.T.A members . mr.chan allowed the 12 student helper to divide the cookies that are left equally how many cookies will each student get. please help !!!! hurry i need help helppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer

Find out the how many cookies will each student get.

To prove

As given

mr.chan made 252 cookies for the annual fifth grade class bake sale .

they sold $(3)/(4)$ of them

Than

$Number\ of\ cookies\ left = (3* 252)/(4)$

= 189

Number of cookies left after sold = 252 - 189

= 63

$(3)/(9)$ of the remaining cookies were given to P.T.A members .

Than

$Number\ of\ cookies\ left\ when\ given\ to\ P.T.A\ members = (3* 63)/(9)$

= 21

Number of cookies left after giving to P.T.A members = 63 - 21

= 42

As given

mr.chan allowed the 12 student helper to divide the cookies that are left equally.

$Each\ student\ get\ cookies =(42)/(12)$

= 3.5

Therefore the 3.5 cookies each student gets.

3¹/₂ or 3.5 cookies

Further explanation

Given:

Mr. Chan made 252 cookies for the Annual Fifth Grade Class bake sale.
They sold $(3)/(4)$ of them and $(3)/(9)$ of the remaining cookies were given to P.T.A members.
Mr. Chan allowed the 12 student helper to divide the cookies that are left equally.

Question:

How many cookies will each student get?

The Process:

Step-1

$Let \ us \ prepare \boxed{252 / 4 = 63}$

Then, let us create a suitable diagram as follows:

$\boxed{63}\boxed{63}\boxed{63}\boxed{63} = 252 \ cookies}$

So, 1 unit of diagram is equal to 63 cookies.

Mr. Chan sold $(3)/(4)$ of them, that is $\boxed{ \ 3 \ units * 63 \ cookies = 189 \ cookies \ sold \ }$
The remaining cookies are $\boxed{ \ 252 - 189 = 63 \ cookies \ }$ , or 1 unit left of the diagram above.

Step-2

$Let \ us \ prepare \boxed{63 / 9 = 7}$

Then, let us create a suitable diagram as follows:

$\boxed{7}\boxed{7}\boxed{7}\boxed{7}\boxed{7}\boxed{7}\boxed{7}\boxed{7}\boxed{7} = 63 \ cookies}$

So, 1 unit of diagram is equal to 7 cookies.

Next, $(3)/(9)$ of the remaining cookies were given to P.T.A. members, that is $\boxed{ \ 3 \ units * 7 \ cookies = 21 \ cookies \ }$ .
The last number of cookies remaining was $\boxed{ \ 6 \ units * 7 \ cookies = 42 \ cookies \ }$ or $\boxed{ \ 63 - 21 = 42 \ cookies \ }$ .

Step-3

Mr. Chan allowed the 12 student helper to divide the cookies that are left equally.

Let us calculate how many cookies will each student get.

$\boxed{ \ 42 \ cookies / 12 \ students \ }$

$\boxed{ \ = (42)/(12) \ }$

The numerator and denominator are equally divided by 6.

$\boxed{ \ = (42 / 6)/(12 / 6) \ }$

$\boxed{ \ = (7)/(2) \ }$

$\boxed{ \ = (6)/(2) + (1)/(2) \ }$

$\boxed{\boxed{ \ = 3(1)/(2) \ }}$

Thus, each student will get $3(1)/(2)$ cookies.

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Keywords: Mr. Chan, made, 252 cookies, the Annual Fifth Grade Class Bake Sale, they sold 3/4 of them, 3/9 of the remaining, were given to, P.T.A members, allowed, the 12 student helper, to divide, left equally, how many, each student get

Which algebraic expression represents the sum of 6 and one fifth of x?

Answers

sum of 6 and one fifth of x
=====> $6 + \cfrac{1}{5}x$

The answer is (1/5x) +6

sierra is supposed to practice flute for a total of 5 1/4 hours every week. this week, she practiced 15 minutes on sunday, 1 hour on monday, 30 minutes on tuesday, 45 minutes on wensday, 15 minutes on tursday, and 45 minutes on friday. how many hours must she practice on saturday to meet her required practice time for the week

Answers

5×60 minutes =300 minutes
300+15 minutes or 1/4hr
315 minutes each week

15+60+30+45+15+45=210 minutes

300-210= 90 minutes

Which net represents the pyramid below

Answers

Answer:

Step-by-step explanation:

its D

Write simultaneous equations to describe the situation below, solve using substitution, and fill in the blanks.Alexa just became a personal trainer and is finalizing her pricing plans. One plan is to charge €61 for the initial consultation and then €32 per session. Another plan is to charge €66 for the consultation and €27 per session. Alexa realizes that the two plans have the same cost for a certain number of sessions. How many sessions is that? What is that cost?

For blank sessions, the cost is € blank on either plan.

Answers

x - the number of sessions
y - the cost

The system of equations:
$y=61+32x \ny=66+27x$

The solution:
$y=61+32x \ny=66+27x \n \n\hbox{substitute 61+32x for y in the 2nd equation:} \n61+32x=66+27x \n32x-27x=66-61 \n5x=5 \ \ \ |/ 5 \nx=1 \n \ny=61+32x \ny=61+32 * 1 \ny=61+32 \ny=93 \n \n(x,y)=(1,93)$

For 1 session, the cost is €93 on either plan.

The lock is numbered from 0 to 49. Each combination uses three numbers in a right, left, right pattern. Find the total number of possible combinations for the lock.

Answers

The correct answer is:

125,000.

Explanation:

For the first turn, there are 50 numbers to choose from.

On each turn of a lock, the numbers can be repeated; this means on the second turn, there are 50 numbers to choose from, and on the third turn, there are 50 numbers to choose from. This gives us:

50³ = 50×50×50 = 125,000.

Answer:

125000

Step-by-step explanation:

Ur Welcome

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