A random sample of 55 standard hotel rooms in the Philadelphia area has a mean nightly cost of $154.17. From previous studies, it has been found that the standard deviation of the price of all hotel rooms in Philadelphia is $38.60. Construct a 99% confidence interval for the population mean cost . Round to the nearest penny. Show work below . (5 points )

The maximum number of full cups of water that can be placed into the container without the water overflowing is 47 cups

Volume of the container = 10 * 15 * 20 = 3000 in³

The volume of the cylinder is:

Volume of cylinder = π * radius² * height = π * 2² * 5 = 62.83 in³

Number of cups that can be placed in container = 3000 in³ / 62.83 in³ = 47.74

The maximum number of full cups of water that can be placed into the container without the water overflowing is 47 cups

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The formula for the centripetal force, as a function of the radius, is given as follows:

F = 896/r.

The equation that defines a direct proportional relationship is given as follows:

y = kx.

In which k is the constant of proportionality.

For an inverse proportional relationship, the equation is given as follows:

y = k/x.

The centripetal force varies inversely with the radius, hence the equation is given as follows:

F = k/r.

When F = 56, r = 16, hence the constant k is obtained as follows:

56 = k/16

k = 56 x 16

k = 896.

Hence the equation is given as follows:

F = 896/r.

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Answer:

y = (2/5)x - 3

Step-by-step explanation:

Brainliest pls

Answer: y = mx + b

y=-3  x=0 and m=2/5

-3 = (2/5)0 + b

Since 2/5(0) is 0, b must be -3

Step-by-step explanation: Since you know the slope and you know one point, all you have to do is plug the slope and the coordinates into the slope-intercept form and solve for b. You can check your answer by finding another point on the line and verifying that the equation works for that point, as well. Add the slope to the given point and you get ( 5 , -1 )

-1 = (2/5)5 - 3

-1 = 2 - 3 -1 = -1 So you know your answer is correct

Answer:

- a/b

Step-by-step explanation:

Answer:

C is the answer, please choose the letter C that's the answer

The surface area of the figure is approximately 997.5π cm².

We have,

The figure has two shapes:

Cone and a semicircle

Now,

The surface area of a cone:

= πr (r + l)

where r is the radius of the base and l is the slant height.

Given that

r = 15 cm and l = 19 cm, we can substitute these values into the formula:

= π(15)(15 + 19) = 885π cm² (rounded to the nearest whole number)

The surface area of a semicircle:

= (πr²) / 2

Given that r = 15 cm, we can substitute this value into the formula:

= (π(15)²) / 2

= 112.5π cm² (rounded to one decimal place)

The surface area of the figure:

To find the total surface area of the figure, we add the surface area of the cone and the surface area of the semicircle:

Now,

Total surface area

= 885π + 112.5π

= 997.5π cm² (rounded to one decimal place)

Therefore,

The surface area of the figure is approximately 997.5π cm².

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Answer:

The campsite would be 65 m by 65 m. 65 x 65 = 4,225. Another way to put it (and the way to figure it out) is that the square root of 4,225 is 65.

Step-by-step explanation:

Answer:

13x-9

Step-by-step explanation:

9×(x - 1)

9x - 9 +4x

collect like terms, 9x+4x=13x

Answer:

If you're asking to simplify it will be 13x-9

Step-by-step explanation:

9(x-1)+4x

=9x-9+4x (since 9*x is 9x and 9*1 is 9)

=13x-9 - By collecting like terms (9x+4x=13x)

Answer:

38416/10000

plss mark me brainliestt

Step-by-step explanation:

3.8416=38416/10000

Answer:

4ft, 7 inches

Step-by-step explanation:

4 ft (48 inches), 7 inches

In order to convert any mass from oz to lb we need to divide the number by 16. This is done below:

To convert back from lb to oz we need to multiply the value by 16, so we have:

Hi 

let call "a number" X.

then we have: 4-13X = X + 8 ..

Answer:

Based on the diagram, we can see that the triangle formed by the line segment with length 8 and the two dashed line segments is a right triangle with a 45° angle. This means that the other two angles of the triangle are also 45° each.

Using the properties of 45°-45°-90° triangles, we know that the length of the hypotenuse is equal to the length of either leg times the square root of 2. Therefore, we have:

x = 8 / sqrt(2) = 8 * sqrt(2) / 2 = 4 * sqrt(2)

So the value of x is option B: 8√2 / 2 or simplified, 4√2.

Using simultaneous equation, the solution to the system of linear equations are 1223 $10 tickets, 1332 $20 tickets, and 763 $30 tickets were sold.

Let's solve the problem step by step.

Let:

x = number of $10 tickets sold

y = number of $20 tickets sold

z = number of $30 tickets sold

From the given information, we can form the following equations:

Equation 1: x + y + z = 3318 (Total number of tickets sold)

Equation 2: y = x + 109 (109 more $20 tickets than $10 tickets were sold)

Equation 3: 10x + 20y + 30z = 61760 (Total sales from ticket sales)

We can use these three equations to solve for the values of x, y, and z.

First, let's substitute Equation 2 into Equation 1:

x + (x + 109) + z = 3318

2x + 109 + z = 3318

2x + z = 3209 (Equation 4)

Now, let's substitute the value of y from Equation 2 into Equation 3:

10x + 20(x + 109) + 30z = 61760

10x + 20x + 2180 + 30z = 61760

30x + 30z = 59580

x + z = 1986 (Equation 5)

We now have a system of equations (Equations 4 and 5) with two variables (x and z). We can solve this system to find the values of x and z.

Multiplying Equation 4 by 30, and Equation 5 by 2, we get:

60x + 30z = 96270 (Equation 6)

2x + 2z = 3972 (Equation 7)

Now, subtract Equation 7 from Equation 6:

(60x + 30z) - (2x + 2z) = 96270 - 3972

58x + 28z = 92298

Simplifying, we have:

29x + 14z = 46149 (Equation 8)

Now, we can solve Equations 5 and 8 simultaneously:

x + z = 1986 (Equation 5)

29x + 14z = 46149 (Equation 8)

Multiplying Equation 5 by 14, and Equation 8 by 1, we get:

14x + 14z = 27804 (Equation 9)

29x + 14z = 46149 (Equation 8)

Now, subtract Equation 9 from Equation 8:

(29x + 14z) - (14x + 14z) = 46149 - 27804

15x = 18345

Divide both sides of the equation by 15:

x = 18345 / 15

x = 1223

Substituting the value of x into Equation 5, we can find z:

1223 + z = 1986

z = 1986 - 1223

z = 763

Now that we have the values of x and z, we can substitute them back into Equation 1 to find y:

1223 + y + 763 = 3318

y + 1986 = 3318

y = 3318 - 1986

y = 1332

Therefore, the solution to the problem is:

x = 1223 (number of $10 tickets sold)

y = 1332 (number of $20 tickets sold)

z = 763 (number of $30 tickets sold)

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Answer:

a

Step-by-step explanation:

Answer:

\( 2^\frac{3}{10} \)

Step-by-step explanation:

\( \dfrac{2^\frac{2}{5}}{2^\frac{1}{10}} = \)

\(= 2^{\frac{2}{5} - \frac{1}{10}}\)

\(= 2^{\frac{4}{10} - \frac{1}{10}}\)

\( = 2^\frac{3}{10} \)

Step-by-step explanation:

85-83=2

2/85×100

The location of  17/10 on the number line is given below .

Small marks along the line represent the next highest or next lowest number. In most cases, the small marks are one count apart. There is no problem. The arrows at the ends of the number line mean infinite left and right movement, just like numbers move infinitely.

The fraction 17/10 is equals 1.7 .

Also note that minus 17/10 is the same distance from 0, but to the left of 0 instead of to the right.

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Answer:

Step-by-step explanation:

3x + 10 + 3x - 28 = 180

6x = 180 - 10 + 28

x = 198/6

x = 33

substitute the value of x = 33 back into the equation to solve for each angle

= 3x + 10

= 3(33) + 10

= 109

= 3x - 28

= 3(33) - 28

= 71

Correct option is D. Since sample size is 10, the sample size is not adequate, the conclusion is likely to be untrue.

The process of deciding how many observations or replicates to include in a statistical sample is known as sample size determination. Any empirical study with the aim of drawing conclusions about a population from a sample must take into account the sample size as a crucial component.

The quantity of completed survey replies is known as the sample size. Because it merely reflects a portion of the target population (or set of people whose ideas or behavior you are interested in), it is known as a sample.

The equation reads Sample Size = N / (1 + N·e2), where N is the population size.

Be aware that this is the least desirable and least precise formula.

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Answer:

-8

Step-by-step explanation:

x - 16 = 3x

Solve for x

-2x = 16

x = -8

Answer:

2

Step-by-step explanation:

since you have 84/42, and you are supposed to convert the improper fraction to a mixed number, the easiest place to start is to divide the two numbers and find the remainder. In this case, however, there is no remainder, as 84 divided by 42 is exactly 2. Therefore, the most simplified fraction would be 2 (although it does not look like a fraction the most simplified form of the fraction is 2/1 --> which is just 2). Hope this helps!

the ratio of the amount of watermelon juice to the amount of apple juice to the amount of orange juice in its simplest form is 12 : 27 : 14.

The ratio of the amount of watermelon juice to the amount of apple juice = 4 : 9

This can also be written as:

4 × 3 : 9 × 3

12 : 27

The ratio of the amount of apple juice to the amount of orange juice = 27 : 14

Now, the ratio of the amount of watermelon juice to the amount of apple juice to the amount of orange juice will be:

Ratio = 12 : 27 : 14

Therefore, the ratio of the amount of watermelon juice to the amount of apple juice to the amount of orange juice in its simplest form is 12 : 27 : 14.

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The amount of interest that a capital of R$1,000.00 applied at the simple interest rate of 10% per year will yield over 2 years is R$200.00.

The simple interest system is based on the process of computing interest on only the principal per period.

Unlike the compound interest system, the simple interest process does not determine interest on both the principal and the accumulated interest.

Principal investment = R$1,000.00

Simple interest rate per year = 10%

Investment period = 2 years

Total interest = R$200.00 (R$1,000.00 x 10% x 2)

Thus, R$1,000.00 invested at 10% per annum will yield simple interest of R$200 over 2 years.

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Answer:

5

Step-by-step explanation:

Answer:

its A

Step-by-step explanation: i passed the test

The matching of items and their corresponding descriptions are 1. Domain, 2.Output, 3. Input, 4. Relation, 5. Function, and 6. Range.

1. Domain - the first element of a relation or function; also known as the input value.

3. Input - the x-value of a function.

6. Range - the second element of a relation or function; also known as the output value.

4. Relation - any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane.

2. Output - a relation in which every input value has exactly one output value.

5. Function - the y-value of a function.

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