A bottled water distributor wants to determine whether the mean amount of water contained inâ 1-gallon bottles purchased from a nationally known water bottling company is actually 1 gallon. You know from the water bottling company specifications that the standard deviation of the amount of water is 0.008 gallon. You select a random sample of 50 bottles, and the mean amount of water perâ 1-gallon bottle is 0.995 gallon.

Required:
a. Is there evidence that the mean amount is different from 1.0 gallon?
b. What is the test statistic?
c. Compute theâ p-value and interpret its meaning.
d. Construct a 95% confidence interval estimate of the population mean amount of water perâ 1-gallon bottle.

Answer:

a. Simple interest = K960

b. Simple interest = K11,960

c. Simple interest = K261

Step-by-step explanation:

Given the following data;

a. Principal = K4000

Interest rate = 6%

Time = 4 years

To find the simple interest;

Mathematically, simple interest is calculated using this formula;

[tex] S.I = \frac {PRT}{100} [/tex]

Where;

S.I is simple interest.

P is the principal.

R is the interest rate.

T is the time.

Substituting into the equation, we have;

[tex] S.I = \frac {4000*6*4}{100} [/tex]

[tex] S.I = \frac {4000*6*4}{100} [/tex]

[tex] S.I = \frac {96000}{100} [/tex]

S.I = K960

b. Principal = K23 000

Interest rate = 6.5%

Time = 8 years

To find the simple interest;

[tex] S.I = \frac {PRT}{100} [/tex]

Substituting into the formula, we have;

[tex] S.I = \frac {23000*6.5*8}{100} [/tex]

[tex] S.I = \frac {1196000}{100} [/tex]

S.I = K11,960

c. Principal = K580

Interest rate = 5%

Time = 9 months

To find the simple interest;

[tex] S.I = \frac {580*5*9}{100} [/tex]

[tex] S.I = \frac {26100}{100} [/tex]

S.I = K261

Answer:

-4/2

Step-by-step explanation:

rise over run

goes down -4 "rises"

moves over 2 runs

Answer:

-2 - 7 i

Srry If Im wrng but Hope this helped :)

Answer:

It is -2-7i

Step-by-step explanation:

Amplitude of  f(x)=5cosx

= 5

The amplitude of a periodic variable is a measure of its change in a single period. The amplitude of a non-periodic signal is its magnitude as compared with a reference value. there are numerous definitions of amplitude, which can be all functions of the magnitude of the differences between the variable's extreme values.

It refers to most displacement from the equilibrium that an object in periodic motion show. as an example, a pendulum swings through its equilibrium point (straight down), and then swings to a maximum distance away from the center.

Learn more about amplitude here

https://brainly.com/question/3613222

#SPJ2

Answer:

B

Step-by-step explanation:

Answer:$52.60

Step-by-step explanation: You have a initial cost of $42 and you have to add 30 %. When you add the 30 % you get 12.60 more dollars added to the amount. This will then give you an answer of $52.16.

Answer:

C) 71

Step-by-step explanation:

To find the mean you must first add all the numbers:

68 + 70 + 76 + 71 + 70 = 355.

After that you divide the number you got by how many numbers are in the set.

There are five players so we divide the number by 5

355/5 = 71

Therefore, it is 71.

Answer:

It is not linear

Step-by-step explanation:

If you plug that function into Desmos graphing Calculator, you can see there are two leparate lines and they are not straight.

Answer: 7/8

Step-by-step explanation:

There are 8 tickmarks on the number line, each representing 1/8.

So, the question mark represents 7/8 (since it is one tickmark to the left of 1)

Answer:

Raja made an error in d equality sign in d answer

Step-by-step explanation:

-3x< or =6

when dividing both sides by -(negative)3, the sign 4 d answer changes

x > or = -2

Answer:

2

degree is highest exponent in equation and 2x² has 2 and is highest

Answer:

v = 51.19 mph

Step-by-step explanation:

The diameter of the tires, d = 43 inches

The angular velocity of the wheels = 400 revolutions per minute

400 revolutions per minute = (400/60) rev/s = 6.67 rev/s

The circumference of the tire is :

C = 2πr

= 2π×21.5

= 135.08 inches

The speed of the truck is given by :

[tex]v=6.67 \times 135.08 \\\\v=900.983\ in/s[/tex]

or

v = 51.19 mph

So, the speed of the truck is equal to 51.19 mph.

Answer: the sequence is increasing. The reason it is increasing because its atleaset increasing by one number.

Answer:

Step-by-step explanation:

this is called  "monotonically decreasing"    as the exponent on the ratio goes up , and the ratio is less than 1 but more than zero,  the number gets smaller and smaller.... it approaches zero is what happens.

Answer:

x=1

Step-by-step explanation:

2n+4<-n

:

2n+n+4<0

:

3n<-4

:

n<-4/3

:

0<2

Answer:

Step-by-step explanation:

E : -5 , -3

F:    2 , -7

Distance = sqrt(  ( 2 -(-5)) * ( 2 -(-5)) + (-7 -( -3)) *(-7 -( -3))  )= sqrt ( 49 + 16 ) = sqrt (65)

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

your answer will be 3

Step-by-step explanation:

Answer:

17 bags is correct

Step-by-step explanation:

12 / 75 is equal to 17.14

Step-by-step explanation:

[tex]y = 2x \: \: \: \: x + y = 6 \\ y = 2x \: \: \: \: x = 6 - y \\ y = 2(6 - y) \: \: \: \: x = 6 - y \\ 3y = 12 \: \: \: \: x = 6 - y \\ y = 4 \: \: \: \: x = 2[/tex]

Gimme tha cookie

Answer: 20:60, 12:36, 2:6

Step-by-step explanation: All you need to do is look at the numbers and see which 3 are equivalent to 4:12.

Answer:

X=17

Step-by-step explanation:

7x-1+5x-23=180

12x-24=180

12x=204

x=17

Answer:

Step-by-step explanation:

(a+ b)² = a² +  b² + 2ab

(2x + y)² = (2x)² + y² + 2*2x *y

             = 4x²  + y² + 4xy

(a- b)² = a² + b² - 2ab

(3x - 2y)² = (3x)² + (2y)² - 2*3x *2y

              = 9x² + 4y² - 12xy

(a - b)(a +b) = a² - b²

(x - 4y(x + 4y) = x² - (4y)²

                     = x² - 16y²

(2x + y)² - (3x - 2y)² + (x - 4y)(x +4y)

  = 4x²  + y² + 4xy - (9x² + 4y² - 12xy) + x² - 16y²

  = 4x²  + y² + 4xy - 9x² - 4y² + 12xy + x² - 16y²

  = 4x² - 9x² + x²  + y² - 4y² - 16y²+ 4xy + 12xy

 =    -4x² - 19y² + 16xy

Answer:

8 pepper plants were sold.

Step-by-step explanation:

Assuming [tex]x=[/tex] the number of pepper plants sold, she sold [tex]7x[/tex] tomato plants and [tex]x[/tex] pepper plants, and since tomato plants sold + pepper plants sold = 64, we can turn this into the equation [tex]7x+x=64[/tex]. To solve this first we combine like terms to get [tex]8x=64[/tex]. Cancel the 8 by dividing both sides by 8 and we get [tex]x=8[/tex], which is the number of pepper plants sold. (We could also multiply x by 7 to get the number of tomato plants sold, which is 56.) Hope this helps!