WILL GIVE 30 PIONTS AND A BRAINLY PLZ I NEED HELP

Answer: σ² = 2.90

Step-by-step explanation: For a frequency table, population variance is calculated by:

[tex]\sigma^{2}=\frac{\Sigma f(x-\mu)^{2}}{\Sigma f}[/tex]

where

f is frequency

μ is expected value or mean of the distribution

In this case, mean of the distribution for a grouped frequency table is calculated by:

[tex]\mu=\Sigma x.f(x)[/tex]

where

x is (as the data is grouped) the mid value of the response time

So, the table is

x          |      f

6.45    |    18

7.45    |    21

8.45    |    34

9.45    |    46

10.45   |    46

11.45    |    25

12.45   |    21

And mean will be:

[tex]\mu=6.45(18)+7.45(21)+8.45(34)+9.45(46)+10.45(46)+11.45(25)+12.45(21)[/tex]

μ = 9.5874

To calculate the variance, the formula above is transformed into

[tex]\sigma^{2}=\frac{\Sigma f.x^{2}-\frac{(\Sigma f.x)^{2}}{\Sigma f} }{\Sigma f}[/tex]

So, to facilitate the calculations, divide each term in a table:

    f      |      x     |      f.x       |        f.x²    

   18    |    6.45  |    116.1     |   748.845

   21    |   7.45   |  156.45   |  1165.5525

   34   |  8.45    |  287.3     | 2427.685

   46   |  9.45    | 434.7      |  4107.915

   46   | 10.45   | 480.7      |  5023.315

   25   |  11.45   | 286.25    |  3277.5625

   21    | 12.45   | 261.45     | 3255.0525

∑ 211   |             |  2022.95 |  20005.9275

Population variance will be:

[tex]\frac{(\Sigma f.x)^{2}}{\Sigma f} =[/tex] [tex]\frac{(2022.95)^{2}}{211}[/tex] = 19394.9133

[tex]\sigma^{2}=\frac{\Sigma f.x^{2}-\frac{(\Sigma f.x)^{2}}{\Sigma f} }{\Sigma f}[/tex]

[tex]\sigma^{2}=\frac{20005.9275-19394.9133}{211}[/tex]

σ² = 2.90

The population variance for the response time for EMTs is 2.90.

Answer:

average quiz mean = 85, exams =78, 81, 92, homework mean ... Infant Mortality 63.

Answer:

PEMDAS

Step-by-step explanation:

Parentheses, Exponents, Division and Multiplication, Addition and Subtraction. When I put an and I mean do them in order of left to right.

Answer:

PENDMAS

Step-by-step explanation:

Parenthesis, Exponent, Multiplication, Addition, Subtraction.

Answer:

Look at the screen shot

Step-by-step explanation:

Here is the formula

3/192=6/k

here is example

If two quantities change so that their ratio remains the same, the quantities are called directly proportional. Or, one can say that the quantities vary directly.

The ratio is called the constant of variation, and is usually recorded as k.

Answer:

2 if I am not mistaken I think it 2 4 6 8 10 12 14 16 18 20

Step-by-step explanation:

next 8 I believe it is 8 16 24 32 40 48 56 64 72 80

Answer:

2 4 6 8 10 12 14 16 18 20

8 16 24 32 40 48 56 64 72 80

Step-by-step explanation:

Answer:

I think m= +or- 31.623

Step-by-step explanation:

divide 100k by 100 then square root. its a quadratic so 2 answers

Answer:

7

Step-by-step explanation:

35 speak english

18 speak french

42-35 = 7

Answer:

7

Step-by-step explanation:

Answer:

79 degrees i think

Step-by-step explanation:

Lines that are horizontal and straight are always 180 degrees so i just subtracted 180 degrees from 101 and i got 79 degrees

Answer:

x = 79

Step-by-step explanation:

A straghit line is equal to 180 degrees.

If 101 of it is taken, you have to find out what the other side is equal to.

The equation would look like: 101 + x = 180 or 180 - 101 = x

I hope you understand now! :D

Answer:

x=-0.25,5.25 The values in their fraction form are -1/4 21/4

Answer:

Step-by-step explanation:

Answer:

SMALLER

What is 9% of 998 pages?

Find 6% of 3004

how many is 51% of 120 people

LARGER

how many is 220% of 40 people

find 101% of 50

what is 1000% of 2

Step-by-step explanation:

Answer:

I got -654,755

Step-by-step explanation:

456+789-656×1000

Answer:

5

Step-by-step explanation:

Answer:

30%

Step-by-step explanation:

did it

Answer:

Step-by-step explanation:

From the question the time taken can be found by using the formula

[tex]t = \frac{d}{v} \\ [/tex]

where

d is the distance

v is the velocity

From the question we have

[tex]t = \frac{200}{108.4493} \\ = 1.844179...[/tex]

We have the final answer as

Hope this helps you

Answer:

108.449

Step-by-step explanation:

Answer:

y=3

Step-by-step explanation:

12+3y=21

-12       -21    subtract 12 from both sides

------------------

3y=9  

divide 3 from y and 9, so you can get y by itself

3y/3= y   9/3= 3

so y is equal to 3

Answer:

The distance between the man and woman is changing at the rate of 1.5 m/sec.

Step-by-step explanation:

Speed = [tex]\frac{distance}{time}[/tex]

⇒ distance = speed x time

After 35 minutes (2100 seconds) ,

the man has walked a distance = 1.3 x 2100

                                                   = 2730 m

After 35 minutes, the woman has walked a distance = 1.6 x 2100

                                                    = 3360 m

The sketch of the displacement of the man and woman forms a triangle with an included angle. Applying the cosine rule, we have:

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2abCos θ

   = [tex]3360^{2}[/tex] + [tex]2730^{2}[/tex] - 2 x 3360 x 2730 x Cos [tex]60^{o}[/tex]

   = 11289600 + 7452900 - 18345600(0.5)

   = 18742500 - 9172800

  = 9569700

c = [tex]\sqrt{9569700}[/tex]

  = 3093.5 m

The distance between the man and woman at 35 minutes is 3093.5 m.

The distance between the man and woman is changing at the rate = [tex]\frac{3093.5}{2100}[/tex]

                              = 1.4731

                              = 1.5 m/sec

The distance between the man and woman is changing at the rate of 1.5 m/sec.

Answer: I'm not exactly sure what your asking, but throughout two days Marcus borrowed $13.45 and then made $45.32. If he immediately paid his owed money back then he would have a current amount of 31.87 in his possession. That is unless he had interest on that owed money for one day

Step-by-step explanation:

$45.32-$13.45 = $31.87

Answer:

There isnt any image to answer this question, sorry

Answer:

$485.05 per week of 43 hours labor

Step-by-step explanation:

First of all, we already know that he works the first 40 hours, so:

$10.90*40= $436

Now it says the next three hours are 1.5* the original pay;

$10.90*1.5= $16.32 (x 3 because thats the extra hours)

$16.32*3 = $49.05

Now, we add the numbers:

$436+$49.05= $485.05

All done!

Answer:

D

Step-by-step explanation:

Because 24000 + 900 = 24900 then 0, and 2 added is 24902

Answer: $4.68

Step-by-step explanation: $23.40 % 20% = $4.68.

Answer:

About 9

Step-by-step explanation: I googled it Imao

9514 1404 393

Answer:

  Not correct: Ed, Debra, Antoine

Step-by-step explanation:

Ed is incorrect because he is using a horizontal line test instead of the appropriate vertical line test.

Debra is incorrect because the fact it is two different lines is irrelevant. A piecewise linear function may be two or more different lines.

Antoine is incorrect because the existence of an equation for the curve has nothing to do with whether or not it is a function. (Here, Antoine would need two equations with overlapping domains. The overlap of the domains is what tells you it is not a function.)

__

Alejandro is correct. The relation fails the vertical line test

Answer

y=0x+7

Step-by-step explanation:

Parallel lines share the same slope, to solve, you need to find the slope of the line it is parallel to.

3-5y=15, since this equation has no x value, that basically means that the slope is 0.

Since the slope is 0 and you have an ordered pair, you can now substitute the ordered pair and the slope into slope intercept form to solve for 'b' or the y intercept.

y=mx+b

(-5,7)

7=0(-5)+b

b=7

y=0x+7

Answer:

r=-12 (R equals negative 12)

Step-by-step explanation:

r/6=-2

r=-2*6

r=-12