Hello Help Plis…………..

Answer:

The value of the test statistic is 59.75.

Step-by-step explanation:

The test statistic for the population standard deviation is:

[tex]\chi^2 = \frac{n-1}{\sigma_0^2}s^2[/tex]

In which n is the sample size, [tex]\sigma_0[/tex] is the value tested and s is the sample standard deviation.

A sample of 45 bottles of soft drink showed a variance of 1.1 in their contents.

This means that [tex]n = 45, s^2 = 1.1[/tex]

The process engineer wants to determine whether or not the standard deviation of the population is significantly different from 0.9 ounces.

0.9 is the value tested, so [tex]\sigma_0 = 0.9, \sigma_0^2 = 0.81[/tex]

What is the value of the test statistic

[tex]\chi^2 = \frac{n-1}{\sigma_0^2}s^2[/tex]

[tex]\chi^2 = \frac{44}{0.81}1.1 = 59.75[/tex]

The value of the test statistic is 59.75.

Answer:

4y+x-3=0

Step-by-step explanation:

The equation is y=mx+b

1) Use the coordinates from the first point

(-1,1)

1= -m+b

2) Use the coordinates frm the second point

(-5,2) (y=mx+b, use x=-5, y=2)

2=-5m+b

You have the system of equations

1=-m+b (multiply by -1)  -1= m-b

2=-5m+b

Add the first equation (multiplied by -1) and the second one

-1+2= m-b-5m+b

1= -4m

m=-0.25

2=1.25+b

b=0.75

y=-0.25x+0.75

4y= -x+3

4y+x-3=0

9514 1404 393

Answer:

  16.9 m

Step-by-step explanation:

Angle BMT in the attached diagram is the complement of the angle of depression, so is 90° -56° = 34°. The distance BT is the side of the triangle opposite this angle, and the given tree height TM = 25 is the side of the triangle adjacent to the angle. Then the relevant trig relation is ...

  Tan = Opposite/Adjacent

  Opposite = Adjacent × Tan

  BT = (25 m)·tan(34°) ≈ 16.863 m

The banana is about 16.9 meters from the tree.

We need to find the LCM

Numbers = 10,15,25

After prime factorization ans as 150

Therefore the shortest length is 150cm

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Answer:

640

Step-by-step explanation:

muntiply all the number length width height

Answer:

348 m^2

Step-by-step explanation:

The figure is made up of a rectangle 24 m by 12 m, and a triangle with a 24 m base and a 5 m height.

A = LW + bh/2

A = 24 m * 12 m + (24 m)(5 m)/2

A = 288 m^2 + 60 m^2

A = 348 m^2

Answer:

44

Step-by-step explanation:

6 x (15 - 7) - 4

PEMDAS says Parentheses first

6 x (8) - 4

Then multiply

48 -4

Then subtract

44

The 15 percent-off $123 or 15 percent discount for a item in which the original price is $123 is: $18.45

Using this formula

Amount = Original Price x Discount

Let plug in the formula

Amount= 123 x 15 / 100

Amount = 1845 / 100

Amount = $18.45

Inconclusion the 15 percent-off $123 is $18.45.

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Answer:

x= 80 degrees

Step-by-step explanation:

exterior angle theorem says that the exterior angle (extended line from one of sides of the triangle), 105 in this case is equal to the two opposite angles, in this case that would be 25 and x

therefore

105= 25+x

x= 80

Step-by-step explanation:

a) The volume of the prism is

[tex]V = (n^2 - 1)×(n^2 - 1)×(5n)[/tex]

[tex]\:\:\:\:= (n^4 - 2n^2 + 1)(5n)[/tex]

[tex]\:\:\:\:=5n^5 - 10n^3 + 5n[/tex]

b) If the dimensions L of the prism are tripled, the new volume will be

[tex]V' = (3L)^3 = 27L^3 = 27V[/tex]

so it will increase by a factor of 27.

Answer:

ok babababr

Step-by-step explanation:

skwjshehhehdhhshwhhdhwhbeujsbsgehbedheb

Answer:

Log 49= 1.6902

Log 560= 1.7481

Step-by-step explanation:

log49= log7×7

From the rules of logarithms, we have that

log a×b= log a + log b

So log49= log7×7= log7 + log7

= 0.8451 + 0.8451 = 1.6902

Log 560 = log7×8 = log7 + log8

log8= log2^3 = 3log2

log8= 3×0.3010 =0.930

log 560= 0.8451 + 0.930 = 1.7481

Answer:

y = 3/2x-2

Step-by-step explanation:

slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = 3/2x+b

Substitute the point in for x and y

1 = 3/2(2)+b

1 = 3+b

1-3 =b

-2=b

y = 3/2x-2

Answer:

-3(z-x) = y

Step-by-step explanation:

Z=x-y/3

Solve for y

Subtract x from each side

z-x = x- y/3 -x

z-x = -y/3

Multiply each side by -3

-3(z-x) = -y/3 * -3

-3(z-x) = y

Answer:

√245

Step-by-step explanation:

altitude on hypotenuse theorem:

m^2=7*35

m^2=245

m=√245

Answer:

150.

Step-by-step explanation

Answer:

25

Step-by-step explanation:

Let x represent the number of $50 jackets that were sold, and let y represent how many $30 jackets were sold.

50x + 30y = 2360

y = x + 12

Solve by substitution by substituting the second equation into the first one. Then, solve for x:

50x + 30y = 2360

50x + 30(x + 12) = 2360

50x + 30x + 360 = 2360

80x + 360 = 2360

80x = 2000

x = 25

So, 25 $50 jackets were sold.

Answer:

263

Step-by-step explanation:

with 955 in the account, you subtract all the amount withdrawed from the main money in the account.

955-245-447

=263

Answer:

4x+8 +3x - 6 + 3x

10x + 8 - 6

10x + 2

Answer:

Maaf Saya Tidak Tahu

Step-by-step explanation:

Maaf Maaf

Answer:

-Hello Fatema!

[tex] \boxed{ \large{ \tt{✺ \: AREA \: OF \: A \: CIRCLE = \pi \: d }}}[/tex]

[tex] \large{ \tt{⟶ \: 153.86 = 3.14 \: d}}[/tex]

[tex] \large{ \tt{⟶ \: d = \frac{153.86}{3.14} }}[/tex]

[tex] \large{ \tt{⟶d = 49 \: m}}[/tex]

[tex] \large{ \boxed{ \boxed{ \tt{⤿ \: OUR \: FINAL \: ANSWER : \: 49 \: m}}}}[/tex]

Answer:

22 weeks

Step-by-step explanation:

Let Suppose if weeks is x

So if we count it:

$40 + $15x = $370

$15x = $330

x = 22 weeks

So, Alan needs 22 weeks to have enough money to buy the new bicycle

Answer:

Step-by-step explanation:

2|x-1|+5 < 13

2|x-1| < 8

|x-1| < 4

-4 < x-1 < 4

-3 < x < 5

Answer:

3x-2+2x+1+X

3x+2x+x-2+1

6x-1

5400 dollars

540x10= 5400

Answer: ME

Step-by-step explanation:

Answer:

166

Step-by-step explanation:

Since the lines are parallel, A=B. 7x+40=3x+112, 4x=72, x=18. A=166

Answer:

C

Step-by-step explanation:

The expression is x>55 and 55 isn't included

Answer:

c

Step-by-step explanation:

Answer:

?????

Step-by-step explanation:

In what do you need primitive function?