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3 years ago

If SS= 162 from a sample of 15 data, find s^2

Mathematics

1 answer:

Genrish500 [490]3 years ago

8 0

Answer:

11.57

Step-by-step explanation:

We have a simple formula to solve this:

$s^2=\frac{SS}{n-1}$

where

SS is sum of squares

s^2 is the variance, and

n is the number of data points

We are given all the info to find out s^2. Hence,

$s^2=\frac{SS}{n-1}\\s^2=\frac{162}{15-1}\\s^2=\frac{162}{14}=11.57$

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Gail is making costumes for a school play. Each rabbit costume needs one and one half yards of white fur fabric, a yard of blue

olga nikolaevna [1]

Answer:

Gail will need 12 yards of white fur, 8 yards of blue striped and 2 yards of the pink felt.

Step-by-step explanation:

We are given that,

The amount of yards for making one costume of different fabrics are,

White fur fabric = $1\frac{1}{2}$ = $\frac{3}{2}$ yards

Blue striped fabric = 1 yard

Pink felt for ears = $\frac{1}{4}$ yards.

So, we have,

The amount required to make 8 costumes are,

White fur fabric = $\frac{3}{2}\times 8$ = 3×4 = 12 yards

Blue striped fabric = 1×8 = 8 yards

Pink felt for ears = $\frac{1}{4}\times 8$ = 2 yards.

Thus, Gail will need 12 yards of white fur, 8 yards of blue striped and 2 yards of the pink felt.

7 0

3 years ago

Read 2 more answers

The number of eligible voters who cast ballots on election day is referred to as the:_____-.

kozerog [31]

The number of eligible voters who cast ballots on election day is referred to as the <u>VOTER TURNOUT.</u>

<u></u>

<h3>What is the voter turnout?</h3>

This refers to the number of a nation's registered voters who actually vote for various positions on election day.

This figure is important because it shows just how much of the population has faith in the electoral system and so trust it to count their vote.

Find out more on voter turnout at brainly.com/question/1747503

#SPJ4

7 0

1 year ago

Please help !!!!!!!!!

vodka [1.7K]

Answer:

A= 41° a=9.84... b=11.32...

Step-by-step explanation:

given B = 49° and C = 90°

and A + B + C = 180

so 49+90+A=180

A= 41°

we also know c (small) is 15 units

and maybe you know this SOH CAH TOA? no, i'm not calling anyone names :P this is just the mnemonic to memorize how sin , cos and tan fit sin(Ф)=Opp/Hyp Cos(Ф)=Adj/Hyp Tan(Ф)=Opp/Adj

Hyp is the hypontenuse of the triangle ( the long side). Opposite (Opp) means the side opposite from what ever angle you are starting at..adjacent (Adj) means what ever angle is next to where you are starting from.

use Cos(49) to find the side a

a is an adjacent side to the 49 angle. We know the Cos and we know the Hyp .. so solve for adj...

Cos(Ф)=Adj/ Hyp

Hyp*Cos(Ф)=Adj

15*Cos(49)= Adj

9.84...=Adj=a

now lets' use sin for the opposite side or b

sin(Ф)=Opp/Hyp

Hyp*Sin(Ф) = Opp

15*sin(49)= Opp

11.32...= Opp =b

7 0

2 years ago

Solving with percent and percent problems

Marysya12 [62]

Well, if 0.4% was defected, then 99.6% of the parts are good, because 100-0.4 is 99.6. Multiply 99.6% with 54650, and you get 54431.4. You should round down, because you can't have parts of parts. So, 54431 parts were good.

8 0

2 years ago

Write the equation of the line that is perpendicular to the liney=-1x/ 3 + 2 and goes through the point (5, 6)

KIM [24]

Answer:

y = 3x-9

Step-by-step explanation:

y = -1/3 x +2

The slope is -1/3

We want a line perpendicular to it

Perpendicular lines have negative reciprocal slopes

The new slope is -(-3/1) = 3

We have a slope m=3 and a point (5,6)

We will use point slope form to find the line

y-y-1 = m(x-x1)

y-6 = 3(x-5)

In slope intercept form

Distribute

y-6 = 3x-15

Add 6 to each side

y-6+6 = 3x-15+6

y = 3x-9

3 0

3 years ago