A factory fills bottles with a beverage, and each bottle is supposed to contain 500\text{ mL}500 mL500, start text, space, m, L, end text. Norah is in charge of a quality control test that involves measuring the amounts in a sample of bottles to see if the sample mean amount is significantly different than 500 ml. She takes a random sample of 16 bottles and finds a mean amount of 497ml, and a sample standard deviation of 6ml. Norah wants to use these sample data to conduct a ttt test on the mean. Assume that all conditions for inference have been met.

Required:
Calculate the test statistic for Norah's test.

Answer:

2×2+72-15

=4+72-15

=76-15

=61

3×2+13×-10

=6-130

=-124

Answer: its 23 meters

Step-by-step explanation:

The volume of a sphere with a diameter of 6.2 in is 39.72π

The volume of a sphere is defined as the total amount of capacity applied in a sphere that can be calculated using the volume formula for the sphere which is V = (4/3)πr3.

The radius of the sphere is;

[tex]\rm Radius =\dfrac{Diameter}{2}\\\\Radius=\dfrac{6.2}{2}\\\\Radius=3.1[/tex]

The volume of the sphere is;

[tex]\rm Volume =\dfrac{4}{3}\pi r^3\\\\Volume =\dfrac{4}{3}\pi (3.1)^3\\\\Volume = 39.72\pi[/tex]

Hence, the volume of a sphere with a diameter of 6.2 in is 39.72π.

Learn more about sphere here;

https://brainly.com/question/9994313

#SPJ2

Answer:

its decreasing

Step-by-step explanation:

the graph will always be read from left to right.

Answer:

3 and 4

Step-by-step explanation:

3^3 = 27

4^3 = 64

Answers:

==========================================================

Explanation:

The money is divided in the ratio 10:7:5

This means that

for some positive real number x.

Since Shaiyara gets $20 more than Zahin, we can say,

S = Z+20

Let's plug in S = 7x and Z = 5x and solve for x

S = Z+20

7x = 5x+20

7x-5x = 20

2x = 20

x = 20/2

x = 10

Therefore,

The ratio F:S:Z becomes 100:70:50 which reduces fully to 10:7:5 after dividing all three parts by the GCF 10.

The total sum of money shared is 100+70+50 = 220 dollars and Farah gets $100 of that total.

Answer:

40 feet

Step-by-step explanation:

Use the Pythagorean Theorem

a² + b² = c²

a² + 9² = 41²

a² + 81 = 1681

Subtract 81 from both sides

a² = 1600

Take the square root of both sides

a = 40

Answer:

4761

Step-by-step explanation:

69 times 69 since it is to the power of 2.

Answer:

4761

Step-by-step explanation:

[tex]69 *69=4761[/tex]

please give brainliest I need to feed my children

Answer:

36 miles

Step-by-step explanation:

Since there are 60 minutes in a hour, you can see that 20 minutes is a third of that time. To find the answer, you multiply the values by 3 to equal on hour. 20x3 = 60 and 12x3 = 36, meaning he drove 36 miles in a hour.

Answer:

a)H0: β1= 1 and Ha: β1 ≠1

b) The test statistic is____.t= b- β/ sb

c) The p-value is____.0.999144

(d) Therefore, we can conclude that:_____. there is not enough evidence to reject the null hypothesis.    

The data provides no evidence at the 0.1 significance level that these thermometers are not consistent.

Step-by-step explanation:

This is called testing hypotheses about β, the population regression co efficient.

The null and alternate hypotheses are

H0: β1= 1 and Ha: β1 ≠1

The significance level is ∝=0.1 and ∝/2 is 0.05

The critical region at t ∝/2 (29)=  t ≤ - 1.699 , t ≥ 1.699

The test statistic is

t= b- β/ sb

which has t distribution with υ= 31-2= 29 degrees of freedom.

Calculations

Ŷ = a +bX

b = SPxy /SS x= Σ(xi-x`)(yi-y`)/Σ(xi-x`)²

b = 39671.6/39680= 0.9998

a = y` - bx`

x`= 60

y`= 59.989

a = 59.989 -0.9998*60 = 0.001734

Syx²= Σ( yi -y`)²/ n-2= 39663.3857/ 29=1367.68965

Syx= 36.9822

Sb= Syx/ √∑  (x-x`)²

Sb= 36.9823/ √39680

Sb= 36.9823/ 199.984

Sb= 0.18493

x-x`                 y-y`                    (x-x`)²     (x-x`)(y-y`)

-60                 -59.969            3600              3598.1419

-56                  -55.999           3136          3135.9458

-52                 -52.079             2704          2708.1097

-48                -47.959              2304           2302.0335

-44                 -43.899              1936          1931.5574

-40                -39.989               1600          1599.5613

-36              -36.009                1296            1296.3252

-32               -31.899              1024              1020.769

-28               -28.049             784                785.3729

-24                -23.959             576               575.0168

-20               -19.989             400                  399.7806

-16                 -15.939            256                  255.0245

-12               -12.039             144                    144.4684

-8                  -7.989             64                       63.9123  

-4                 -4.119                16                      16.4761

0                 -0.08903           0                         0

4                  3.921              16                      15.6839

8                7.961                64                       63.6877

12                12.121             144                     145.4516

16                16.031             256                   256.4955

20               20.021           400                  400.4194

24               24.111              576                   578.6632

28                28.071           784                     785.9871

32                 31.751            1024                    1016.031

36               36.031           1296                    1297.1148

40                39.961          1600                    1598.4387

44                43.881           1936                     1930.7626

48               48.021           2304                     2305.0065

52              52.001             2704                     2704.0503

56             56.051              3136                       3138.8542

60            60.041                3600                     3602.4581

∑0          0                 39680 (SSx)     39671.6 (SPxy)

Putting the values

The test statistic is

t= b- β/ sb

t= 0.9998-1/ 0.18493

t=-0.0010815

Since the calculated t=-0.0010815  does not lie in the critical region  t ∝/2 (29)=  t ≤ - 1.699 , t ≥ 1.699 we conclude that these thermometers seem to be measure temperatures.

The p-value is  ≈ 0.999144

there is not enough evidence to reject the null hypothesis.    

Answer:

78 ft²

Step-by-step explanation:

[tex]A=\frac{a+b}{2} h[/tex]

[tex]A=\frac{11+15}{2}6[/tex]

78

Click on the picture for the graph!

Remember to label!

Hope this helps! Have a great day!

Answer:

$15487.5

Step-by-step explanation:

Using the formula for calculating the amount as;

Amount = Principal + Interest

Principal = $15,000

Get the interest

Interest = PRT/100

Interest = 15000*13/4 * 3/100 (72months = 3years)

Interest = 195000/400

Interest = $487.5

Amount = 15000 + 487.5

Amount= $15487.5

Hence he will have $15487.5 in his account after 72months

Answer:

[tex]\sqrt[3]{\frac{-729}{216} } = \sqrt[3]{\frac{9*9*9*}{6*6*6} } = (\frac{9^3}{6^3})^{\frac{1}{3} } = \frac{9}{6} = \frac{3}{2}[/tex]

option a

Answer:

-6r - 2s

Step-by-step explanation:

Combining Like Terms like this

-4r + s-2r - 3 s       <<<

-6r + s - 3 s

= -6r - 2s                <<<

Answer:

-6r - 2s

Step-by-step explanation:

Answer:

c. 6

Step-by-step explanation:

Given

See attachment for graph

Required

Average rate of change

This is calculated as:

[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]

Where

[tex](a,b) = (2,4)[/tex]

So, we have:

[tex]Rate = \frac{f(4) - f(2)}{4 - 2}[/tex]

[tex]Rate = \frac{f(4) - f(2)}{2}[/tex]

Using the attached graph, we have:

[tex]f(2) = 4[/tex]

[tex]f(4) = 16[/tex]

So, we have:

[tex]Rate = \frac{16- 4}{2}[/tex]

[tex]Rate = \frac{12}{2}[/tex]

[tex]Rate = 6[/tex]

Answer:

It's equal to 3² + 4² + 5² = 9 + 16 + 25 = 50

Answer:

8(y+ 5) =3

Step-by-step explanation:

Answer:

n=16

Step-by-step explanation:

Let's solve your equation step-by-step.

1/ 2 n−3=5

Step 1: Add 3 to both sides.

1/ 2 n−3+3=5+3

1/ 2 n=8

Step 2: Multiply both sides by 2.

2*( 1/ 2 n)=(2)*(8)

n=16

Answer:

n=16

Answer:

n=16

Step-by-step explanation:

First you have to do 3+-3 to cross it out

then you have to add 3 to 5

lastly divide 8 and 1/2

Then you get your answer.

Answer:

33.44 cm²

Step-by-step explanation:

sorry if incorrect

Answer: There is a picture below of my work. Sorry for my sloppy hand writing.

Answer:

Step-by-step explanation:

84

Answer:

it 567+743

hope it works

Answer:181.5

Step-by-step explanation:

5.5*5.5*6

multiply by six because there are six side

Answer:

Step-by-step explanation:

W = 2L + 3, and:

P = 2W + 2L = 192

Substituting 2L + 3 for W, we get:

P = 2(2L + 3) + 2L = 192, or

4L + 6 + 2L = 192, or:

6L = 186

L = 186/6 = 31

The length is 31, the width is 62 + 3, or 65

Therefore, the perimeter P is P = 2(31) + 2(65) = 130 + 62  = 192 (OK!)

Answer:

−a^2 b^2 + 2a + 2b

_________________

             a^2

Step-by-step explanation:

Please mark as brainliest if answer is right  

Have a great day, be safe and healthy  

Thank u  

XD  

Answer:

9

Step-by-step explanation:

9514 1404 393

Answer:

  1

Step-by-step explanation:

The third term is g. It is equivalent to 1g. (A coefficient of 1 is rarely shown.) The coefficient is the constant multiplier of the variable expression. In the third term, the coefficient is 1.

9514 1404 393

Answer:

  3x -2y = 12

Step-by-step explanation:

The constant in the standard form equation for a line is proportional to the distance of the line from the origin. Dilation by a factor of 2 moves the line to twice its original distance from the origin. The equation of the new line will have the constant 2×6 = 12:

  3x -2y = 12

_____

Additional comment

The actual distance of line ax+by=c from the origin is ...

  d = |c|/√(a²+b²)

The distance from any point in the plane to the line is ...

  d = |ax +by -c|/√(a²+b²)

The previous equation is for the special case of (x, y) = (0, 0), the distance from the origin.

Answer:

Step-by-step explanation:

Stephanie,  so many people ask questions about this type of problem,  I think the teachers don't know how to explain these at all.  Ask your teacher if I can have some of their salary :)  I have to explain this to that many people..  :0

given"

point P1 (-4,-2)  in the form (x1,y1)

point P2(3,1)  in the form (x2,y2)

slope = m

formula for slope is:

m = (y2-y1) / (x2-x1)

m = (1-(-2) ) / (3 - (-4))

m = (1+2) / (3+4)

m = 3 /7

That's your slope,  ask if you need more explanation,  I'm really curious about why this type of problem causes so many questions  :/