A simple random sample of 36 cans of regular Coke has a mean volume of 12.19 ounces. Assume that the standard deviation of all cans of regular Coke is 0.11 ounces. Use a 0.01 significance level to test the claim that cans of regular Coke have volumes with a mean of 12 ounces, as stated on the label.
a) State the hypotheses.
b) State the test statistic.
c) State the p-value.
d) State your decision.
e) State your conclusion.

Answer:

The numbers are 11 and 49.

Step-by-step explanation:

x = 5y - 6 This is just the first sentence written as an equation.

x + y = 60 This is just the second sentence written as an equation.

5y - 6 + y = 60 Substitute x for what you know it is equal to

6y - 6 = 60 Collect like terms

6y = 66 Add 6 to each side

y = 11 Divide each side by 6

x = 5 × 11 - 6 Substitute y for what you know it is

x = 55 - 6 Simplify by working out 5 × 11 = 55

x = 49 Subtract 6 from 55 to get 49

Answer:

[tex]\frac{a^{2} }{4}[/tex]

Step-by-step explanation:

2[tex]\sqrt{2x}[/tex] = a

Divide both sides by 2.

[tex]\sqrt{2x}[/tex] = [tex]\frac{a}{2}[/tex]

Square both sides.

2x = ([tex]\frac{a}{2}[/tex])²

    = [tex]\frac{a}{2}[/tex] × [tex]\frac{a}{2}[/tex]

2x = [tex]\frac{a^{2}}{4}[/tex]

Step-by-step explanation:

Her brother has 85 * x stickers.

Answer:

9 per game.

Step-by-step explanation:

45y/5x

I'm not so sure what the equation would look like

Answer:

3^7

Step-by-step explanation:

Answer:

3^7

Step-by-step explanation:

(3^4)^-2 • (3^5)^3 = 2187

3^7 = 2187

Answer:

1a. Yes

1b. No

1c. Yes

Step-by-step explanation:

Answer:

1a. 2/5 x 25 = 50/5 = 10 and 10 = 10 so yes

1b. 5 + 5 = 10  10 does not equal 15 so no

1c. 5 x 5 = 25 and 25 = 25 so yes

Answer:

A= 50cents markup B=80 cents markup

Step-by-step explanation:

U just subtract the markup by 270 then bam

Answer:

If t= 6

3 (2 x 6 + 5) 6 x 6 + 15

3 (12+5) 36 + 15

3 x 17 =51

= 51

The value of both expressions when t=6 is 51

When t = 3

3(2 x 3 + 5) 6 x 3 + 15

3 (6 +5) 18 + 15

3 x 11 =33

= 33

The value of both expressions when t= 3 is 33

Step-by-step explanation:

Step-by-step explanation:

Answer:

: ^ )                

Also Give me a good rating to please

I <3 The World

9+9+9= (Forever)

Answer:

i think 24

Step-by-step explanation:

Answer:

$40 + $0.22x = $84

$0.22x = $44

x = 200 miles

The greatest distance you can travel is 200 miles

Brainly plz :))

Answer:

Step-by-step explanation:

Because both points have -1 as X they are both located on the same line

This gives them no slope

Answer:

497 inches²

Step-by-step explanation:

Hi!

I have never done a problem like this in my life but I see exactly how it is meant to be solved. Lets try it out.

Let us first remind ourselves of the formulas we need for this.

Formula for a circle and the formula for a triangle.

Circle :

A = [tex]\pi[/tex] x r²

(or Area = pi x radius²) (Note that [tex]\pi[/tex] = 3.14)

Triangle :

A = b x h x 1/2

(or Area = base x height x 1/2)

Now lets see what the question wants from us and what we are given :

Gives us :

Diameter XY = 30 inches

YZ = 20 inches

XZ = 21 inches

And it wants the total area of the shaded regions to the nearest square inch. (Inches²)

Alright so first lets solve this triangle :

We need to do Base x Height x 1/2 :

Input your numbers given :

Base = 21in

Height = 20in

And lets multiply this out :

Base x Height x 1/2

21     x    20     x 1/2

21 x 20 gives us 420

Now we have :

420 x 1/2

Note that this is literally saying it wants half of 420. So we can actually just make it easier and do :

420/20

This gives us 210.

Great! Now we have the area of the triangle which is 210, this will be important later but for now lets move onto the circle.

Alright so we need radius to solve this but it really doesn't give us much about the circle.

But...

If you take a look at ∠YX you can see that it says 30in. This is actually the diameter of the circle and we can use this to find the radius of the circle.

The radius of a circle is 1/2 of the diameter.

And the diameter of a circle is 2 × the radius.

So in this case to find the radius we can actually take the 30inch diameter and divide it by 2 to find our radius.

30/2

=

15

Radius = 15inches!

Now lets look back to our wonderful circle formula.

A = [tex]\pi[/tex] x r²

or if we write it out :

Area = pi x radius²

So now lets plug in the radius we found and then solve to find the area of this circle.

Area = pi x 15²

(Don't forget the tiny 2 next to the 15!)

Now we can multiply this :

pi x 15²

=

706.858347058

Round to the nearest square inch :

707 inches²

(pi = [tex]\pi[/tex])

So now what we have is the area of both shapes. It is smooth sailing from this point on. Let us recap :

Triangle Area = 210 inches²

Circle Area = 707 inches²

Now we have to find the area of the shaded area which is really simple subtraction.

The shaded area is the circle but the triangle is overlapping this shaded area so all we have to do is subtract the triangles area from the circles area so all that will be left is the shaded area of the circle.

So we do :

Circles area - Triangles area = Our answer

707 - 210 = 497

There we go!

Our answer is 497 inches²

This took a minute I am sorry about that but I hope this helps!

If you have any other questions please let me know.

Answer:

Step-by-step explanation: The quotient is 20

Answer:

7/5 is the constant variation.

Hope this helps! Have a great day!

Answer:

angle 1 is 30 degrees

Answer:

80 is the correct ansqer

Answer:

80 ft

Step-by-step explanation:

if 1 = 20 then 20 is width but ? is length

1=20

2=40

3=60

4=80

since 4 in is length then actual length is 80ft

Answer:

80ft

Step-by-step explanation:

hope this helps

Step-by-step explanation:

use the slope and coordinates to find the equation of line then substitute the value of X in the equation to find Y.

if it helps pls mark me brainliest

The number of people who likes to swim than hike is given by the equation A = 2 people

Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.

It demonstrates that the expressions on the left and right sides are connected in the same way.

An equation has components like as coefficients, variables, operators, constants, terms, expressions, and the equal to sign. The "=" sign and terms on both sides are required when generating an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the number of people who likes to swim be s= 4 people

Let the number of people who likes to hike be h = 2 people

Let the number of people who likes to bike be b = 3 people

Now , the equation will be

The number of people who likes to swim than hike A = number of people who likes to swim - number of people who likes to hike

The number of people who likes to swim than hike A = s - h

The number of people who likes to swim than hike A = 4 - 2

The number of people who likes to swim than hike A = 2 people

Hence , the number of people who likes to swim than hike is A = 2 people

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

Step-by-step explanation:

Hgbuf7g

Answer:

a) How many of the pets were birds and how many were fish?

Number of birds = x = 28

Number of fish = y = 202

b) Equation for pets?

x + y = 230....... Equation 1

c) Equations for cost?

9x + 4y = 1060...... Equation 2

Step-by-step explanation:

The pet store has an abundance of birds and fish and is selling them at a great price there are 230 of these pets In the store the cost for a bird is $9 and the cost per fish is $4 the store sold all the pets in a weekend blow out sale and made $1060 how many of the pets were birds and how many were fish? Equation for pets? Equations for cost?

Let us represent:

Number of birds = x

Number of fish = y

The pet store has an abundance of birds and fish and is selling them at a great price there are 230 of these pets

x + y = 230....... Equation 1

x = 230 - y

In the store the cost for a bird is $9 and the cost per fish is $4 the store sold all the pets in a weekend blow out sale and made $1060

$9 × x + $4 × y = $1060

9x + 4y = 1060...... Equation 2

We substitute 230 - y for x

9(230 - y) + 4y = 1060

2070 - 9y + 4y = 1060

Collect like terms

- 9y + 4y = 1060 -2070

-5y = -1010

y = -1010/-5

y = 202

Solving for x

x = 230 - y

x = 230 - 202

x = 28

Therefore,

Number of birds = x = 28

Number of fish = y = 202

Answer: the original answer is 75.25 but rounded to the hundredths would be 100

Step-by-step explanation: brainliest please? ^^

Answer:

n=13

Step-by-step explanation:

Step 1: Flip the equation.

Step 2: Subtract 4 from both sides.

Answer:

Answer is given

:) mark me brainliest

Answer:

The answer is y=-2x^2-8x+1

Step-by-step explanation:

I used an app called desmos and just plugged in the equation till i got the answer that looked like the image u gave.

Hope this helps

Sorry if not

Plz give brainliest

Answer:

step 1. mHT = 2(74) = 148°. the arc measures twice the angle when crossing the circle.

Answer:

X=28

Step-by-step explanation:

4x+248=360

112=4x

x=28

Answer:

28

Step-by-step explanation:

Answer:

(0, -10)

If you graph the points and follow where the line would go, then it would hit these coordinates.

Answer:

(0,-10)

Step-by-step explanation: