The National Coffee Association reported that 63% of U.S. adults drink coffee daily. A random sample of 275 U.S. adults is selected. Round your answers to at least four decimal places as needed.

Answer:

C) -2/9

Step-by-step explanation:

\(\displaystyle -\frac{1}{6}\biggr[3-15\biggr(\frac{1}{3}\biggr)^2\biggr]\\\\=-\frac{1}{6}\biggr[3-15\biggr(\frac{1}{9}\biggr)\biggr]\\\\=-\frac{1}{6}\biggr[3-\frac{15}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{27}{9}-\frac{15}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{12}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{4}{3}\biggr]\\\\=-\frac{4}{18}\\\\=-\frac{2}{9}\)

Answer:

Hence, Option (C) - 2/9 is the Answer:

Step-by-step explanation:

-1/6 [3 -15(1/3)^2]

-1/6(3 -15)(1/9))

-1/6(3 - 5/3)

-1/6 (4/3)

Hence, Option (C) - 2/9 is the Answer:

I hope it helps!

243.83

Step-by-step explanation:

Multiple: 38/

3

* 77/

4

= 38 · 77/

3 · 4

= 2926/

12

= 1463 · 2/

6 · 2

= 1463/

6

Answer:

\(243 \frac{5}{6}\)

Step-by-step explanation:

Given multiplication:

\(12 \frac{2}{3} \times 19 \frac{1}{4}\)

Convert the mixed numbers to improper fractions:

\(\implies \dfrac{12 \times 3+2}{3} \times \dfrac{19 \times 4+1}{4}\)

\(\implies \dfrac{36+2}{3} \times \dfrac{76+1}{4}\)

\(\implies \dfrac{38}{3} \times \dfrac{77}{4}\)

\(\textsf{Apply the fraction rule} \quad \dfrac{a}{c}\times\dfrac{b}{d}=\dfrac{ab}{cd}:\)

\(\implies \dfrac{38\times77}{3\times4}\)

\(\implies \dfrac{2926}{12}\)

Divide the numerator and denominator by 2:

\(\implies \dfrac{2926 \div 2}{12 \div 2}\)

\(\implies \dfrac{1463}{6}\)

Convert to a mixed number:

\(\implies 243 \frac{5}{6}\)

Answer:

2 . figures have a volume that is greater than 600 in3.

Step-by-step explanation:

Answer:

To solve the equation f(x) = 3, we can set the expression for f(x) equal to 3 and then solve for x. In other words, we want to find the values of x that make the equation 5 - \frac{x}{r^2} + 5 + 6 = 3 true.

We can start by simplifying the left side of the equation by combining like terms. This gives us

5 - \frac{x}{r^2} + 5 + 6 = 5 + 5 - \frac{x}{r^2} + 6 = 10 - \frac{x}{r^2} + 6

Next, we set this expression equal to 3 and solve for x:

10 - \frac{x}{r^2} + 6 = 3 \quad \Rightarrow \quad 10 - 6 = 3 - \frac{x}{r^2} \quad \Rightarrow \quad \frac{x}{r^2} = 7

To solve for x, we can multiply both sides of the equation by r^2:

x = 7r^2

Therefore, the solutions to the equation f(x) = 3 are $x = 7r^2$. Note that this is a general solution, and it may not give all the possible values of $x$ that make the equation true. It's also possible that there are no solutions, depending on the value of $r$.

6.0x74=444

4.5x80=360

5.1 x 78 = 397.8

1.9 x 70=133

Answer:

Step-by-step explanation:

option (d) 4hrs 40mins

The 99% confidence interval for the true population mean backpack weight is approximately (68.15, 71.85) ounces, rounded to two decimal places.

To construct a 99% confidence interval for the true population mean backpack weight, we can use the formula:Confidence Interval = Sample Mean ± (Critical Value * Standard Deviation / √Sample Size).

Since the population standard deviation is known, we can use the z-distribution and find the critical value corresponding to a 99% confidence level. The critical value for a 99% confidence level is approximately 2.576.

Given that the sample mean weight is 70 ounces, the population standard deviation is 6.4 ounces, and the sample size is 48, we can calculate the confidence interval:

Confidence Interval = 70 ± (2.576 * 6.4 / √48).

Simplifying the expression, we get:

Confidence Interval ≈ 70 ± 1.855.

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Answer: the sides of all shapes are straight

Step-by-step explanation:

Answer:

length = 60m

Step-by-step explanation:

let '3x' = length

let '2x' = width

3x + 3x + 2x + 2x = 200

10x = 200

x = 20

length = 3x = 3(20) = 60

Answer:

4 5/12 feet tall

Step-by-step explanation:

All you have to do is subtract 1/3 from 4 and 3/4 in order to get this answer.

Answer:

Leon is 53/12 feet or 4 & 5/12 or 4.4167 (same answer different forms)

Step-by-step explanation:

Leon older brother is 19/4 feet tall or 57/12.

Leon is 1/3 or 4/12 foot shorter than his brother.

57/12-4/12= 53/12

The form that most quickly reveals the y intercept is

The y intercept is (0, 21/2)

The y-intercept is the point where a function or a curve intersects the y-axis. In other words, it is the value of the dependent variable (y) when the independent variable (x) is equal to zero.

In the form,  f(x) = 1/2 x² - 5x + 21/2 it is easier to see that eliminating x by plugging in 0 leaves 21/2 which is the y intercept

hence we can easily say that the y intercept is (0, 21/2)

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Answer: a

Step-by-step explanation:

did the test

Answer:

8 1/2

Step-by-step explanation:

Change the denominators so they're the same 1/3 equals 2/6. 1/6 +2/6 is 3/6 and 5 + 3 is 8. Simplify to get 8 1/2

Answer:

The total amount of the new coffee mixture would be:

8 + 12 = 20 (pounds)

The price of 20 pounds of coffee mixture would be:

8(9.2) + 12(5.5) = 139.6 (dollars).

Therefore, the average price would be:

139.6/20=6.98 (dollars).

Answer: $6.98 per pound.

Answer:

0.0001012

Step-by-step explanation:

I have explained the solution on paper step by step! but I am typing this to get the solution. to 20 characters

Answer:

Step-by-step explanation:

I got you

So,

The perimeter of a square is the sum of the lengths of all its sides, and since a square has all sides equal, we can find the length of one side by dividing the perimeter by 4:

32 cm ÷ 4 = 8 cm

Therefore, each side of the square measures 8 centimeters. To find the area of the square, we can use the formula:

Area = side length x side length

So, the area of the square is:

Area = 8 cm x 8 cm = 64 square centimeters

Therefore, the area of the square with a perimeter of 32 centimeters is 64 square centimeters.

The next number in the series is 25.

Number is a fundamental concept in mathematics, used to represent a quantity. It can be represented in many forms, such as an integer, a fraction, a decimal, and a ratio. Numbers are used to measure and quantify almost every physical phenomenon in the world. They form the basis of scientific principles, such as Newton's law of gravitation, and are used in everyday life for activities such as counting and calculating. Number is also an important concept in other disciplines, such as philosophy, psychology, and sociology.

This series follows a pattern of adding the previous two numbers together. Therefore, the next number in the series is the sum of 25 and -7, which is 32. This pattern can be continued indefinitely, with the next number in the series being 39 (32 + 7) and so on.

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The compound inequality on the number line is shown below.

We have been given a compound inequality. We are asked to graph the given inequality on number line.    

x>8 and x≤3

The solution for the inequality is all values of x less than or equal to 3 and greater than or equal to 8.

We will have solid dots at  x>-8 and x≤-3 .

One arrow of the number line would be from 3 to left of the number line (towards negative infinity). The other arrow will be from 8 to right side of number line towards positive infinity.

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9514 1404 393

Answer:

  B.  √900

Step-by-step explanation:

The solutions to the equation are ...

  x = ±√900 = ±3√100 = ±10√9 = ±30

Of the offered choices, the only one that matches any of these is ...

  √900

Answer:

133,860

Step-by-step explanation:

The baker was going to sell his house for 145,500 but he found that no one came to buy, so he decreased the amount by "8%".

* No we have our key elements:

- Starting amount = 145,500

- Rate of change = 8%

* We will get the "8%" of the number 145,500

- Firstly, "8%" means 8/100

- So, 0.08 will be our new rate of change.

* 145,500 will be multiplied by 0.08 to find the final answer because when we talk about the percentage of a number, we are going to talk about a part of it.

- 145,500 × 0.08 = 133,860 ; the same as

145,500 × 8/100 = 133,860

The correct answer is B. Debra

Explanation:

The word "beneficiary" is used to describe the individual that receives a benefit. In the case of a life insurance policy, the receiver is always the person that receives money and other benefits when the person covered by the policy dies. This implies that in the case presented, Denise is the individual covered by the policy and the beneficiary is Debra because she will receive the money once Denise dies, and therefore she is the recipient of the benefits related to the insurance policy.

Answer:

2 and 10

Step-by-step explanation:

Let x be length of the small piece and y the length of the big one.

● y = 5x

Since the big piece is 5 times longer than the short one.

The total length is 12 ft

● y + x = 12

● 5x + x = 12

● 6x = 12

Divide both sides by 6

● 6x/6 = 12/6

● x = 2

So the length of the two pieces are 2 ft and 10 ft (5×2)

The length of each piece is 2 units and 10 units.

To know how times a number is to another just divide the larger number to the smaller number.

According to the given question a 12 foot board is cut so that one piece is 5 times as long as the other.

Assuming one piece to be x and the other to be 5x.

∴ x + 5x = 12

   6x = 12

     x = 2.

So, one piece is of 2 units and other piece is of 5(2) = 10 units.

To confirm that one piece is of 5 times of the other we divide the larger piece by the smaller piece which is 10/2 = 5.

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Answer:

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Step-by-step explanation:

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Answer:

2(x-4) + 2(2x+8) OR long way (x-4) + (x-4) + (2x+8) + (2x+8)

Step-by-step explanation:

2(x-4) represents the (x-4) + (x-4) in the longer version since for perimeter you add the sides. Same thing for the other side, 2(2x+8) represents (2x+8) + (2x+8).

Not sure if you need the expression solved but here:

\(2(x-4) + 2(2x+8)\\(2x-8) + (4x+16)\\=6x+8\)

To get from first line to second, use distributive property. To get from second to third line, combine like terms.

The perimeter of a rectangle with the length of (x - 4) and width of

(2x +8) will be (6x + 8).

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

We have to given that;

The length of rectangle = x - 4

The width of rectangle = 2x + 8

Now,

Since, The length of rectangle = x - 4

The width of rectangle = 2x + 8

We know that;

The perimeter of rectangle = 2 (Length + Width)

⇒ The perimeter of rectangle = 2 (x - 4 + 2x + 8)

⇒ The perimeter of rectangle = 2 (3x + 4)

⇒ The perimeter of rectangle = (6x + 8)

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We can use substitution to solve this system of equations. We can solve the first equation for y and get:

y = (2x + 12)/3

We can then substitute this expression for y into the second equation:

(2x + 12)/3 + 3x = -7

Multiplying both sides of this equation by 3 to eliminate the denominator, we get:

2x + 12 + 9x = -21

Simplifying this equation gives:

11x = -33

Dividing both sides by 11, we get:

x = -3

We can then substitute this value of x back into either of the two original equations to find y. Using the first equation, we get:

3y = 2(-3) + 12

3y = 6

y = 2

Therefore, the solution to the system of equations is x = -3 and y = 2.

To check the solution, we substitute these values back into both equations:

3y = 2x + 12 3(2) = 2(-3) + 12 6 = 6

This equation is true, so the solution (x = -3, y = 2) checks out.

Answer:

Your answer is correct.

Step-by-step explanation:

\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\begin{cases} h=3\\ k=-10\\ \end{cases}\implies y=a(~~x-3~~)^2 + (-10)\hspace{4em}\textit{we also know that} \begin{cases} x=0\\ y=8 \end{cases} \\\\\\ 8=a(~~0-3~~)^2 + (-10)\implies 8=9a-10\implies 18=9a\implies \cfrac{18}{9}=a \\\\\\ 2=a\hspace{7em}y=2(~~x-3~~)^2 + (-10)\implies \boxed{y=2(x-3)^2-10}\)

Answer:

so 1/4 of a circle is 90 degrees 1/4 is equal to 90 over 360 C it's 90 parts of 360. so here we go with this one. this angle is 20 degrees remember that's 90 alright the square one and this little part would be 20 degrees each angle appears wider as the Rays get longer.

Step-by-step explanation:

Let me know if this help's you lol :)