a wall is 500sq. feet a gallon of paint covers 160sq feet. what is an appropriate conversion factor to help determine how many gallons will be needed to paint the wall

The null hypothesis is rejected.

The mean is not greater than $175.

An assumption or concept is given as a hypothesis for the purpose of debating it and testing if it might be true.

Given:

Sample size (n) = 6

Sample mean ([tex]\bar x[/tex]) = $80

Sample standard deviation(s)=6.3

Significance level(α)=0.05

We have to test the claim that the true mean greater than $175.

The null and alternative hypotheses:

H₀ : μ = 175

H₁ : μ > 175

Here, Population Standard deviation is unknown and sample size is less than 30.

So we will use t- distribution.

Test Statistic t,

t   = ([tex]\bar x[/tex] - μ) / {s/√n}

t  =  (80−175) / (6.3 /√6)

t   =  (80−175) / (6.3 / 2.45)

t  = − 95 / 2.57196423

t = −36.937

degree of freedom (df) = n−1

                                     = 6−1

                                     = 5

p-value at  t = −36.937, df = 5 and α = 0.05

Absolute value of −36.937 = 36.937

Notice that 36.937 does not show up in the table, but it does fall between the two values 31.821 and 63.657.

So, p-value = 1

Since, p-value > α

That means, we fail to reject the null hypothesis (H₀).

Therefore, the true mean is not greater than $175.

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Two equations that have the same solution as the given equation are;

2.3p – 10.1 =  6.49p – 4

230p – 1010 = 650p – 400 – p

Both sides of an equation will remain equal, when both sides are

multiplied by the same amount.

The given equation: 2.3·p - 10.1 = 6.5·p - 4 - 0.01·p

Simplifying the above equation by collecting like terms gives;

2.3·p - 10.1 = 6.5·p - 0.01·p - 4 = 6.49·p - 4

2.3·p - 10.1 = 6.49·p - 4

Multiplying both sides of the original equation by 100 gives

100 × (2.3·p - 10.1) = 100 × (6.5·p - 4 - 0.01·p)

230·p - 1010 = 650·p - 400 - p

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Answer:

7290 joules

Step-by-step explanation:

The formula for kinetic energy is mv²/2 so let’s put the numbers in:

180*81/2 which is 7290 joules

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Answer:

Where are the questions

Answer:

B

Step-by-step explanation:

Answer:

95.25 or 95

Step-by-step explanation:

[tex]C=2\pi r[/tex]

C = 2 x [tex]\pi[/tex] x 15 = 94.24778in = 94.25 or 95

Hope I helped you my dear friend.

Answer:

C. 7.203

Step-by-step explanation:

I calculated it logically

The solution is, :  the missing value for the exponential function represented by the table below is 7.203.

Option c.,  7.203

Here, we have,

Exponential sequence is given as

21, 14.7, 10.29, ____, 5.0421

Explicit formula of the function is given by

a_n = a* r^(n-1)

when, we have,

a = first term = 21

r = common ratio

  = 14.7/21

  = 0.7

So the sequence will be

a_n = 21* 0.7^(n-1)

We have to find the forth term of the sequence

  a₄ = 21(0.7)³

      = 7.203

so, we get,

a₄ = 7.203

Option C. 7.203 is the answer.

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Answer:

113

Step-by-step explanation:

The volume of a sphere is [tex]\frac{4}{3}\pi r^3[/tex], where [tex]r[/tex] is the radius of the sphere. The radius of the given sphere is 3 ft, so its volume is [tex]\frac{4}{3} \pi \cdot 3^3 = 36\pi[/tex]. Using 3.14 for [tex]\pi[/tex], this is approximately equal to 113.04. Rounding to the nearest whole number, the answer is 113 cubic feet.

Answer: 113 (rounded)

Step-by-step explanation:

Hey!

So for this we just use our sphere formula and follow the steps.

Volume= 4/3 πr^3

R= radius (half of diameter)

For pi we are going to use 3.14.

Let’s work this out now.

Radius is 3 so since it is cubed, we multiply it by itself 3 times. We get 27. Now, let’s multiply this by 3.14 and get 84.78.

Lastly, multiply by 4/3. We get 112.9333. This is the volume.

Hope this helped! :D

Sorry I messed any thing up!

Comment down below for further questions!

Answer:

Step-by-step explanation:

LHS = tanθ/secθ - 1 + tanθ/secθ + 1

Cross multiplication,

tanθ(1 - secθ) - tanθ(1 + secθ)/1 + sec^2θ

= tanθ(1 - secθ - 1 - secθ)/-tan^2θ

= -2secθ/-tanθ

= 2 x 1/cosθ / sinθ/cosθ

= 2cosecθ = RHS

Hence proved.

Given:

A right angle triangle with angles 45, 45, 90 degrees.

Hypotenuse of the triangle = [tex]7\sqrt{2}[/tex] mm

Base of the triangle = t

To find:

The value of t.

Solution:

In a right angle triangle,

[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]

Using this trigonometric ratio in the given triangle, we get

[tex]\cos (45^\circ)=\dfrac{t}{7\sqrt{2}}[/tex]

[tex]\dfrac{1}{\sqrt{2}}=\dfrac{t}{7\sqrt{2}}[/tex]

[tex]\dfrac{7\sqrt{2}}{\sqrt{2}}=t[/tex]

[tex]7=t[/tex]

Therefore, the value of t is 7 millimetres.

The simplest form of the given expression is (- 8n² +n +1)

Simplification is the process of making simple an expression, terms or equations so as to easy for solving or evaluating.

There are some steps for simplification such as removing parenthesis, collecting like terms, addition or subtraction of like terms and so on.

We are given an expression, ( -7n² - 8n -8) + (- n² + 9n +9)

In order to simplify, we first remove the parenthesis and get

- 7n² - 8n -8 - n² + 9n +9

in the next we will collect like terms

- 7n² - n² -8n +9n - 8 +9

We now add or subtract like terms

- 8n² + n+1

this is the simplest form of the given expression.

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Answer:

Angle AGF = 140

Step-by-step explanation:

180-40 = 140

Answer:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Step-by-step explanation:

Answer:

[tex]y=\frac{5x}{1+2x^2}[/tex]

Step-by-step explanation:

[tex]Option ~A ~ does ~ not ~ have ~a ~ vertical~ asymptote[/tex]

--------------------------

Hope it helps...

Have a great day!!

Answer:

Step-by-step explanation:

answer is d

The cost to order 1, 000 pens and 2, 000 notebooks, by the Student Union, can  be found to be

The cost of ordering 1, 000 pens is shown to be 60 cents per pen so the total cost would be :

= Number of pens x Cost per pen

= 1, 000 x 60 cents

= $ 600

The cost of ordering 2, 000 notebooks is 76 cents per notebook which comes to a total of :

= 2, 000 x 76 cents

= $ 1, 520

The total cost of ordering the pens and notebooks is:
= 600 + 1, 520

= $ 2, 120

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Answer:

6

Step-by-step explanation:

2x is x * 2

-2 * 2 = -4

2y is y * 2

5 * 2 = 10

-4 + 10 = 6

Answer:

6

Step-by-step explanation:

-2 times 2 = -4

2 times 5 = 10

10-4 = 6

2x and 2y are Both Different terms.

Answer:

8

Step-by-step explanation:

Since it's an equilateral triangle, as you can tell from the red lines, m∠2 = 60. You can substitute to get:

⇒ 60 = 6x + 12

Subtract 12 from both sides

⇒ 48 = 6x

Divide by 6

⇒ x = 8

Therefore, the answer is 8.

Answer:

4

Step-by-step explanation:

m = Δy/Δx = (6-(-2))/(5-3) =8/2 = 4

9514 1404 393

Answer:

  D

Step-by-step explanation:

Your calculator* can tell you the answer to this. Each expression is evaluated according to the order of operations.

A: 6 + 4/3·3 = 6 +(4/3)·3 = 6 +4 = 10

B: (6 +4/2) -1·3 = 6+2-3 = 5

C: 6 +(4/2) +1·3 = 6 +2 +3 = 11

D: (6 +4)/2 -1·3 = 10/2 -3 = 5 -3 = 2

_____

* If your calculator doesn't properly use the Order of Operations, you should get one that does. The calculator behind the Go.ogle search box reliably uses the order of operations, so you can use it if your own doesn't work properly.

Answer: 10:48 AM

Explanation:

Two bulbs flash at regular intervals of 30 and 36 seconds respectively. LCM of 36 and 30 = 180. 180/60 = 3 minutes. They will flash together every 3 minutes. If they flash together at 10:45, the second time they will flash together will be 10:45 + 3 minutes = 10:48.

Hope this helps!!! :)

Graph A is defined by the function y=(x + 2)(x+7) as the graph at y=0 where the function crosses those two points .

The study of mathematics comprises the study of quantities and their variations, equations and associated structures, shapes and their positions, and locations where they can be found. A combination of inputs and corresponding outputs are referred to as a "function," which describes the relationship between them. The term "function" refers to an association between inputs and outputs where each input produces a single, unique result. There are two domains, or scopes, assigned to each function. Usually, the symbol f is used to signify functions (x). input is an x. There are four basic categories of functions that are available: on functions, one-to-one functions, many-to-one functions, within functions, and on functions.

given

The function's zeros are

0=x+2 x=-2

and

0=x+7 x=-7

Consequently, the graph at y=0 where the function crosses those two points .

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Answer:

she saved $9.67

Step-by-step explanation:

$48.35÷ 0.20= $9.67

Answer:

Your answer is B

Step-by-step explanation:

edge = V^1/3

edge = 216^1/3