The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to
maintain a true mean temperature, μ, of 47°F, ideal for a certain type of German pilsner. The owner
of the brewery does not agree with the refrigerator manufacturer, and claims he can prove that the
true mean temperature is incorrect. Assuming that a hypothesis test of the claim has been
conducted and that the conclusion is to reject the null hypothesis, state the conclusion in
nontechnical terms.
A) There is not sufficient evidence to support the claim that the mean temperature is equal to
47°F.
B) There is sufficient evidence to support the claim that the mean temperature is equal to 47°F.
C) There is not sufficient evidence to support the claim that the mean temperature is different
from 47°F.
D) There is sufficient evidence to support the claim that the mean temperature is different from
47°F.

Answer:

1. One solution

2. No solution

3. Infinite solutions

4. Two solutions

5. Three solutions

Step-by-step explanation:

You're welcome  ♡

Robert's dimes are anywhere between 17 and 19.

Nickels

are worth 5 cents, and

dimes

are worth 10 cents. Since Robert has 10 nickels, he already has 50 cents. To reach a minimum of $2.20, or 220 cents, Robert needs at least 170 more cents. Because each dime is worth 10 cents, he needs a minimum of 17 dimes. If he has a maximum of 29 coins in total, subtracting the 10 nickels means that he can have up to 19 dimes. So, Robert could have anywhere between 17 and 19 dimes.

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In triangle DEF, the length of segment DF is 15√3. So correct option is C.

Trigonometric ratios are mathematical functions that relate the angles of a right triangle to the ratios of its sides. There are three primary trigonometric ratios: sine, cosine, and tangent, which are commonly abbreviated as sin, cos, and tan, respectively.

Here are the definitions of these trigonometric ratios:

Sine (sin): The sine of an angle in a right triangle is equal to the length of the side opposite the angle divided by the length of the hypotenuse. This can be written as sin(theta) = opposite / hypotenuse.

Cosine (cos): The cosine of an angle in a right triangle is equal to the length of the adjacent side divided by the length of the hypotenuse. This can be written as cos(theta) = adjacent / hypotenuse.

Tangent (tan): The tangent of an angle in a right triangle is equal to the length of the side opposite the angle divided by the length of the adjacent side. This can be written as tan(theta) = opposite / adjacent.

In triangle DEF, we have a right triangle at E, which means that angle DEF is a 90-degree angle. We are also given that angle DFE is 60 degrees, which means that angle EDF is 30 degrees (since the angles in a triangle add up to 180 degrees).

Let DF = x. Then, we can use the trigonometric ratios of the 30-60-90 degree triangle to solve for x

We know that the ratio of the sides in a 30-60-90 degree triangle is x : x√3 : 2x. Therefore, we have:

DE / DF = x√3 / x = √3

Simplifying this, we get:

x = DE / (√3) = 45 / (√3) = 15√3

Therefore, the length of segment DF is 15√3, which is answer choice C.

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Answer:

\(=2x+h-2\)

Step-by-step explanation:

When want to simplify:

\(\frac{f(x+h)-f(x)}{h}\text{ given } f(x)=x^2-2x\)

So, let's substitute (x+h) into our f(x). This yields:

\(f(x+h)=(x+h)^2-2(x+h)\)

Substitute this and f(x) into our above expression to obtain:

\(=\frac{(x+h)^2-2(x+h)-(x^2-2x)}{h}\)

Simplify. First, square the first term:

\(=\frac{(x^2+2xh+h^2)-2(x+h)-(x^2-2x)}{h}\)

Distribute the -2 for the second term:

\(=\frac{(x^2+2xh+h^2)-2x-2h-(x^2-2x)}{h}\)

And distribute the negative for the last term:

\(=\frac{(x^2+2xh+h^2)-2x-2h-x^2+2x}{h}\)

Combine like terms:

\(=\frac{(x^2-x^2)+(-2x+2x)+(2xh+h^2-2h)}{h}\)

The first two expressions will cancel. This leaves us with:

\(=\frac{2xh+h^2-2h}{h}\)

Factor out an h:

\(=\frac{h(2x+h-2)}{h}\)

We can cancel the h. So, our final solution is:

\(=2x+h-2\)

And we're done!

Answer:

D

Step-by-step explanation:

i think it's correct if not I'm sorry

The percentage of drivers who are at least 45 is 62%

From the question, we have the following parameters that can be used in our computation:

The table of values

From the table, we have

Age 45 = 62 percentile

When represented properly

So, we have

Age 45 = 62%

This means that the percentage of drivers who are at least 45 is 62%

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Step-by-step explanation:

steps are in picture above.

Note:if you need to ask any question please let me know.

Answer:

A

Step-by-step explanation:

Using the properties of logarithms, we can simplify the expression:

4 log3x + 6 log3y - 7 log3z = log3x^4 + log3y^6 - log3z^7

Now, we can use another property of logarithms, which states that:

loga (mn) = loga m + loga n

Using this property, we can combine the logarithms with addition or subtraction:

log3x^4 + log3y^6 - log3z^7 = log3(x^4 * y^6 / z^7)

Therefore, the simplified form of 4 log3x + 6 log3y - 7 log3z is log3(x^4 * y^6 / z^7).

Answer:

  13.25 ft

Step-by-step explanation:

Let w represent the width of the window. Then w-5 represents the length, and the perimeter is ...

  P = 2(L+W)

  43 = 2((w-5) +w) = 4w -10

  53/4 = w = 13.25 . . . feet

The width of the window is 13.25 ft.

Answer:

30

Step-by-step explanation:

sh well cm to cm et FL to

Answer:

y = 2x + 12.

Step-by-step explanation:

To find the equation of a line perpendicular to y=-1/2x+4 and passing through the point (-2,8), we can first determine the slope of the perpendicular line.

Recall that two lines are perpendicular if and only if their slopes are negative reciprocals of each other. Therefore, the slope of the line we want to find is the negative reciprocal of the slope of y=-1/2x+4.

The slope of y=-1/2x+4 is -1/2, so the slope of the line perpendicular to it is 2 (since the negative reciprocal of -1/2 is 2).

Next, we can use the point-slope form of the equation of a line to write the equation of the line perpendicular to y=-1/2x+4 that passes through the point (-2,8):

y - 8 = 2(x + 2)

Simplifying and putting the equation in slope-intercept form, we get:

y = 2x + 12

Therefore, the equation of the line perpendicular to y=-1/2x+4 that passes through the point (-2,8) is y = 2x + 12.

\(\sf y =2x+12.\)

The slope of any linear equation can be found just by taking a look at the equation when it's solved for "y".

\(\sf y=-\dfrac{1}{2} x+4\)

Looking at the given equation, we can clearly tell that the value of slope is \(-\dfrac{1}{2}\).

The slope of any linear equation that is perpendicular to another can be found by writting the multiplicative reciprocal of the original equation's slope, and changing the sign on it.

Let's do it step by step:

a) Write the slope of the original equation.

\(-\dfrac{1}{2}\)

b) Write the multiplicative reciprocal.

For this, you just need to change the order in the fraction. In other words, switch places between the numerator and denominator.

\(-\dfrac{1}{2}\Longrightarrow-\dfrac{2}{1}=-2\)

\(\sf -2\Longrightarrow2\)

Therefore, the slope of the new equation will be 2, and it is perpendicular to the original equation (\(\sf y=-\dfrac{1}{2} x+4\)).

With the given ordered pair (-2, 8) and the slope (2) we can calculate the formula of the new equation.

Formula to use: \(\sf y-y_{1} =m(x-x_{1} )\)

\(\sf x_{1} =-2\\ \\\sf y_{1} =8\\ \\m=2\)

Now we substitute the variables in the equation by the identified values in step 3.

\(\sf y-(8) =(2)(x-(-2))\\ \\y-8 =(2)(x+2)\\ \\\)

Use the distributive property of multiplication on the right side of the equation (check the attached image).

\(\sf y-8 =(2)(x)+(2)(2)\\\\y-8 =2x+4\\ \\y-8+8 =2x+4+8\\ \\y =2x+12\)

a) Is it perpendicular?

According to the theory explained in step 2, it is, because the slope is 2.

b) Does it pass through point (-2, 8)?.

For this, simply substitute "x" by "-2" in the calculated equation. If y= 8, then the function also meets this requirement.

\(\sf y =2(-2)+12\\ \\y=-4+12\\ \\y=8\)

That's correct. We have found the correct answer.

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Mariana has a $20 gift card for downloading music → this means that she can spend at most $20 on music, you can symbolize this situation as ≤20

If each song costs $1.29 and she buys "m" number of songs, the total cost of the songs can be expressed as 1.29m

Then the inequality that represents the number of songs she can download is

Hello, I was happy to solve the problem. If you find a bug, post in the comments or click on the report, I will see it and try to fix it as soon as possible.

The answer to this problem: 2

The length of side AD is,

⇒ AD = 16

We have to given that;

The given figure is a right triangular prism.

In the prism:

• DF = 22 in.

• EG = 11 in.

• Volume of the prism = 1936 cubic in.

Since, Volume of right triangular prism is,

V = 1/2 (bh) x L

Substitute all the values we get;

V = 1/2 (22 × 11) × AD

1936 = 121 × AD

AD = 16

Thus, The length of side AD is, 16

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The number of whole cup of milk that Charlene would use for all 8 packages would be = 8 cups of whole milk.

A square is a type of quadrilateral that has four sides with four angle 90° at each edge.

The number of chocolate square mixture Charlene would use for the party = 8 packages.

The number of packages that require a cup of milk = 1

Therefore the number of whole cups of milk that would be used for the whole 8 packages would be = 8×1 = 8 cups of whole milk.

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The volume of the given triangular prism is 384 cm³.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Here, the area of the base is

Area of a rectangle = 1/2 ×Base×Height

= 1/2 ×12×4

= 24 cm²

Now the volume is 24×16

= 384 cm³

Therefore, the volume of the given triangular prism is 384 cm³.

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Answer:

D

Step-by-step explanation:

the formula of 90 Degree angle

(y,-x)

Answer:

thay

Step-by-step explanation:

The group of individuals fitting a description is called option D: Population, this is because, in statistics, a population is seen as am entire group of individuals, items, or elements that tends to have or share a common characteristics.

The term "population" describes the complete group of people or things that you are interested in investigating. It is the group of individuals or thing(s) about which you are attempting to draw conclusions.

There are infinite and finite populations. A population with a set quantity of people or things is said to be finite. An endless population is one that has an infinite amount of people or things.

Therefore, the correct option is D

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See full text below

A group of individuals fitting a description is the _____

Which of the term below fit the description above.

A.census

B.sample

C.parameter

D.population

Anna's total profit was $6000 + $16000 - $4000 = $14000.

How did Anna earn profit

Anna bought $4000 of company stock. The value of the stock doubled when she sold 75% of it, which means she sold 0.75 * $4000 = $3000 worth of stock when its value doubled.

Since the value of the stock doubled, Anna sold the $3000 worth of stock for 2 * $3000 = $6000.

Anna then sold the remainder of the stock (25% of the original amount) for four times the purchase price. Since she originally bought the stock for $4000, the remainder was worth 0.25 * $4000 = $1000.

Selling this remainder for four times the purchase price means that Anna sold it for 4 * $4000 = $16000.

Answer:

2/5 or 0.4.

Step-by-step explanation:

6/15 = 2/5

Answer:

Below

Step-by-step explanation:

From 7 to 10 AM is THREE hours (if the times are all on the same day)

Answer:

I wish I've known, but try using Symbo-Lab or Math-Way. They help a lot.

Step-by-step explanation:

Answer:

\(A=301.593\ cm^3\)

Step-by-step explanation:

The Surface Area of a Cylinder

Given a cylinder of base radius r and height h, the surface area is calculated (including the top and bottom areas):

\(A = 2\pi r^2+2\pi r h\)

The cylinder has a height of h=8 cm and a radius of r=4 cm. Substituting:

\(A = 2\pi 4^2+2\pi *4*8\)

\(A = 32\pi +64\pi\)

\(A=96\pi\)

Calculating

\(\boxed{A=301.593\ cm^3}\)

Answer: 301.593 cm2

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

\(\sqrt[3]{512} = 8\\8x8 = 64\)

There are 9,000 numbers that have 7 in the thousands of places and are less than 54,000.

Consider the possible digits in the hundreds, tens, and one's places.

Thousands of places: There is only one possibility, which is 7.

Hundreds place: Any digit from 0 to 9 is possible.

Tens place: Any digit from 0 to 9 is possible.

One place: Any digit from 0 to 9 is possible.

Since the number is less than 54,000, the digit in the hundreds place cannot be 5.

So, there are 9 possible digits (0 to 9, except 5) for the hundreds place, and 10 possible digits (0 to 9) for the tens and one's places.

So, the total number of such numbers is:

9 x 10 x 10 x 10 = 9,000

Therefore, there are 9,000 numbers that satisfy the given condition.

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Answer:

C. 2(3x + 2y) and 6x + 4y

Step-by-step explanation:

Hope I helped!!

The solution of the inequality 2z + 7 < z + 10 is z < 3.

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

A number is a solution to an inequality in x if it can be used to replace x with a statement that is true.

Consider the inequality,

2z + 7 < z + 10

Subtracting z from each side of the equation,

2z + 7 - z < z + 10 - z

z + 7 < 10

Subtracting 7 from each side of the inequality,

z + 7 - 7 < 10 - 7

z < 3

The solution to the inequality is z < 3.

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