pls help me on this.......​

Answer:

Step-by-step explanation:

Given that:

[tex]H_o: \mu \ge 55 \ \\ \\ H_1 : \mu < 55[/tex]

(a) For x = 54 and s = 5.3

The test statistics can be computed as:

[tex]Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }[/tex]

[tex]Z = \dfrac{54-55}{\dfrac{5.3}{\sqrt{36}} }[/tex]

[tex]Z = \dfrac{-1}{\dfrac{5.3}{6} }[/tex]

Z = -1.132

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(-1.132,35,1) = 0.1326

Decision: p-value is greater than significance level; do not reject [tex]\mathbf{H_o}[/tex]

[tex]Conclusion: \ There \ is \ insufficient \ evidence \ to \ conclude \ that \[/tex] [tex]\mu < 55[/tex]

b

For x = 53 and s = 4.6

The test statistics can be computed as:

[tex]Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }[/tex]

[tex]Z = \dfrac{53-55}{\dfrac{4.6}{\sqrt{36}} }[/tex]

[tex]Z = \dfrac{-2}{\dfrac{4.6}{6} }[/tex]

Z = -2.6087

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(-2.6087,35,1) =0.0066

Decision: p-value is < significance level; we reject the null hypothesis.

[tex]Conclusion: \ There \ is \ sufficient \ evidence \ to \ conclude \ that[/tex] [tex]\mu < 55[/tex]

c)

For x = 56 and s = 5.0

The test statistics can be computed as:

[tex]Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }[/tex]

[tex]Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }[/tex]

[tex]Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }[/tex]

Z = 1.2

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(1.2,35,1) = 0.88009

Decision: p-value is greater than significance level; do not reject [tex]\mathbf{H_o}[/tex]

[tex]Conclusion: \ There \ is \ insufficient \ evidence \ to \ conclude \ that \[/tex] [tex]\mu < 55[/tex]

Answer:

16

Step-by-step explanation:

Hope this helps sorry if I'm wrong

Answer:

291.875

Step-by-step explanation:

16 x 291.875= 4670

Answer:

it will be A

Step-by-step explanation:

I am sure search ok thank u

Answer:

The only one that makes sense is A.

Hope this helps.

Step-by-step explanation:

V=LWH

Answer:

A

Step-by-step explanation:

I just took the quiz

Answer: 11 times 1

Step-by-step explanation:

Answer: 11 por 1

Step-by-step explanation:

Answer:

Answer =  51

Step-by-step explanation:

PEMAS = (parenthesis, exponents, multiplication, division, addition, subtraction) follow steps in order

Answer:

51

Step-by-step explanation:

53-102+20(8-3)

53-102+20 x 5

53-102+100

=51

Step-by-step explanation:

if you have a quarter tank then what is empty is 15 gallons because 20*3/4=15

you now need to fill up the 15 gallons, if each gallon is 21/2 dollars then 15*21/2 should give us a price. 21/2=10.5

15 gallons*10.5 dollars=$157.5 for the final price

Answer:

2-8h

Hope this helped.

Answer: 83.2

x

11

−

166.4

x

Step-by-step explanation: Multiply  

104

by  

0.2

.

20.8

x

(

4

x

10

−

8

)

Apply the distributive property.

20.8

x

(

4

x

10

)

+

20.8

x

⋅

−

8

Simplify the expression.

Answer: Mary can expect to answer 60 questions in a 150 minutes

Step-by-step explanation:

150 divided by 30 = 5

5 x 12 = 60

Answer:

g

Step-by-step explanation:

Answer:

a) m<BAC=37°

b) AC=44

Step-by-step explanation:

A) m<BAC=180-71-45-27=37°

B) 2(2x+2)=5x-3

4x+4=5x-3

7=x

AE=2(4x-6)

8x-12

8(7)-12

56-12

44

Answer:

The answer is C.) $4,000

Answer: because they didn't believe that he really could perform miracles

Step-by-step explanation: I'm a christian

Answer:

x < -50

Step-by-step explanation:

Answer:

x < -50

Step-by-step explanation:

9514 1404 393

Answer:

  f⁻¹(x) = log(x)/log(16)

  g⁻¹(x) = (2^x -1)/3

Step-by-step explanation:

In each case, you want to solve ...

  x = f(y)

__

a. x = 4^(2y)

  log(x) = 2y·log(4) . . . . . . . . take logs

  y = log(x)/(2·log(4)) . . . . . . .divide by the coefficient of y

  f⁻¹(x) = log(x)/log(16) . . . . simplify (4^2 = 16)

__

b. x = g(y)

  x = log(3y +1)/log(2) . . . . use the change of base relation

  x·log(2) = log(3y +1) . . . . multiply by log(2)

  2^x = 3y +1 . . . . . . . . . . . take antilogs

  2^x -1 = 3y . . . . . . . . . . . subtract 1

  y = (2^x -1)/3 . . . . . . . . . . divide by the coefficient of y

  g⁻¹(x) = (2^x -1)/3 . . . . . . . . note that "-1" is not part of the exponent of 2

Answer:

5 feet by 1 foot

took the unit test on edge

Answer:

5 by 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

You do this by figuring out the amounts of pure fruit juice in all.

Explanation:

Mixture:

17 gal 30% contains:  

17

⋅

30

100

=

5.10

gal pure juice

From Brand B:

8 gal 48% contains:  

8

⋅

48

100

=

3.84

gal pure juice

So  

5.10

−

3.84

=

1.26

gal came from 9 gal of brand A

So the percentage of A is:

1.26

9

⋅

100

=

14

%

pure juice.

Mark brainliest if this answer is correct please

Answer:

D

Step-by-step explanation:

In math increased means that you are adding.

Have a good day and a good rest of your week!

Answer: 53.0

Step-by-step explanation:

Then the diameter equals 53.0122774

The diameter of the sphere is 53.01 inch

What is a Sphere?

A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.

The Surface Area of a Sphere = 4πr²

The Volume of a Sphere = ( 4/3 ) πr³

where r is the radius of the sphere

Given data ,

Let the diameter of the sphere be = d

The radius of the sphere be = r

The volume of the sphere is V = 78006 inch³

The Volume of a Sphere = ( 4/3 ) πr³

Substituting the values in the equation ,we get

( 4/3 ) πr³ = 78006 inch³

Now , Multiply by ( 3 / 4 ) on both sides , we get

πr³ = ( 78006 x 3 ) / 4

     = 58504.5 inch³

Divide by π on both sides , we get

r³ = 58504.5 / π

   = 18622.56 inch³

Taking cube roots on both sides , we get

r = 26.506 inch

So , the radius of the sphere is r = 26.506 inch

Now , the diameter of the sphere is d = 2 x r

                                                               = 2 x 26.506

                                                               = 53.01 inch

Hence , The diameter of the sphere is 53.01 inch

To learn more about sphere click :

https://brainly.com/question/27933834

#SPJ2

Answer:

9/4 225%

Step-by-step explanation:

either one you need :)

Answer:

1.398 miles

Step-by-step explanation:

Formula: multiply the value in kilometers by the conversion factor '0.62137119223556'.

Answer:

A. Positive association

Step-by-step explanation:

Positive association means as one factor increases, the other does as well.

The more time you shower, the more water you use.

Answer:

There are infinite solutions because there is always another number between any two numbers.​

Step-by-step explanation:

Answer:

y=-5x+176

Step-by-step explanation:

Write an algebraic equation showing that the two points equal each other and then evaluate it.

Answer:

0

Step-by-step explanation:

substitute 1 for v

2(1)^3 - 1^2 + 3(1) - 4

2 - 1 + 3 - 4

1 + -1

0

Answer:

0

Step-by-step explanation:

Substitute (1) for every time (V) appears.

2(1)^3 - (1)^2 + 3(1) - 4 = 2 - 1 + 3 - 4

2 - 1 + 3 - 4 = 0

Answer:

3 hours

Step-by-step explanation:

The rate of lawn treatment is 75 lawns per 25 hours, which can be simplified as 3 lawns per hour.

If he treats 3 lawns every hour, it will take him 3 hours to treat 9 lawns.

Answer:

10

Step-by-step explanation:

Answer:

The increase is $1547, he has $8047 in his account now.

Step-by-step explanation:

6500 increase 23.8% =

6500 × (1 + 23.8%) = 6500 × (1 + 0.238) = 8047

8047 - 6500 = 1547