A waiter made $288 in tips after waiting on 12 tables. What was the waiter’s average tip per table?

A$24
B$13
C$15
D$16

Answer:

± 15 cm  

Step-by-step explanation:

In the first case, since the measurement is 1 cm too long or too short, the error is ± 1 cm.

In the second case, the uncertainty or error is also ± 1 cm.

Now, since there are 15 cars, and there is an error of ± 1 cm in each measurement, by the error formula the total error in the sum of both cases is 15 × ±1 cm = ± 15 cm  

So, the total error in both cases is ± 15 cm.

(75÷100)×2=(0.75)×2=1.5 km

Answer: going to take a wild guess and say figure 2 or figure 4 is correct but I'm going with figure 2

Step-by-step explanation:

Answer: Figure 4

Step-by-step explanation:

I got it right on Edmentum

Answer:

x = 5

Step-by-step explanation:

Let's simplify this by subtracting 5 from both sides:

3x = 15

Isolate x by dividing both sides by 3:

x = 5

Answer:

hey

Step-by-step explanation:

Answer: B

Step-by-step explanation: Hope this helps:)

The domain and the range of the piecewise function in this problem are given as follows:

The function in this problem is defined for all values of x between -6 and 2, except x = 0, and assumes all values of y between 0 and 6, except y = 1, hence the domain and range are given as follows:

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Answer:

✔ 1

5-foot by 4-foot face(s)

✔ 2

5-foot by 3-foot face(s)

✔ 2

4-foot by 3-foot face(s)

Step-by-step explanation:

EDGE 2021

The faces that must be included are two faces that measure 5ft*3ft = 15 ft², another two faces that measure 4ft*3ft = 12ft², and one face that measures 5ft*4ft = 20ft².

For the pool, we need to consider the four lateral face and the bottom face . (not the top, as it is a hole actually).

So if we have:

Then we have two faces that measure 5ft*3ft = 15 ft², another two faces that measure 4ft*3ft = 12ft², and one face that measures 5ft*4ft = 20ft².

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Answer:

10.3923048454

Step-by-step explanation:

3 square root (4) x square root (3)

Answer:

Step-by-step explanation:

I and II

Pages in a book and leaves on a tree can be counted precisely. They are discrete.

The height of a person cannot be measured exactly. We can get very good

approximations (to a lot of decimal places) but never exact. This is continuous.

Answer:

1.5 meters

Step-by-step explanation:

You need to use circumference for this problem and the formula is dπ.

Plug in:

24π

Solve with pi:

24×3.14 = 75.36

Since there is two clocks, multiply:

75.36 × 2 = 150.72

In 1 meter there is 100 centimeters so divide

150.75 ÷ 100 = 1.5

So you will need 1.5 meters of ribbon.

Answer:

There are six possible forms of 4-digit numbers consisting of two odd digits and two even digits:

OOEE

OEOE

OEEO

EEOO

EOEO

EOOE

Each of the three forms starting with (O)dd digits can form 5^4 = 625 numbers, since there are 5 odd and 5 even digits.

Each of the three forms starting with (E)ven digits can form 4*5^3 = 500 numbers, since the first digit cannot be zero.

Therefore, the total numbers possible is 3*(625+500)

= 3,375

Step-by-step explanation:

Volume of the shaded portion for the given pyramid is found as (600 - 81π) units³.

Five faces make up the rectangular pyramid, of which one is rectangular and the other four are triangular in shape. Five vertices make up the rectangular pyramid, one of which is at the vertex and the other four are where the triangular faces converge.

Volume of the shaded part = Volume of the pyramid - Volume of the cone

Volume of pyramid = ⅓*l*w*h

in which,

Put the values:

Volume of pyramid = ⅓*15*10*12

V(pyramid) = 5*10*12

V(pyramid)  = 600 units³

Volume of Cone = ⅓πr²h,

In which:

radius r  = ½ * 9 =  4.5 units

height = 12 units

Volume of Cone = ⅓*π*4.5²*12

V (cone) = π*4.5²*4

V (cone) = 81 π units³

Thus,

Volume of the shaded part = V(pyramid) - V (cone)

Volume of the shaded part = 600 units³ - 81 π units³

Thus, Volume of the shaded portion for the given pyramid is found as (600 - 81π) units³.

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complete question:

A cone is cut out of the center of a pyramid with a rectangular base. The rectangular base has side lengths of 15 and 10 units. The cone has a diameter of 9 and a height of 12. The pyramid and cone have the same height.

What is the volume of the shaded portion of the composite figure? Express your answer in terms of π.

519π units3

681π units3

(600π – 81) units3

(600 – 81π) units3

The figure is attached:

(A): 825

(B): 42,900

The value of y is 4√3

Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.

Also , the ratio of corresponding sides of similar triangles are equal.

There are two triangles that are similar

Therefore;

y /16 = 4/y

y² = 48

y = √48

y = √16 × √ 3

y = 4√3

Therefore, the value of y is 4√3

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4 times 4 is 16, think of it like 4 + 4 + 4 + 4.

4 times 4 is 16, think of it like 4 + 4 + 4 + 4.

Answer:

4250 m

Step-by-step explanation:

1 day = 850

5 days = 850×5

= 4250

Therefore, sin θ = 4/5, csc θ = 5/4, and cot θ = -3/4 using trigonometric ratio.

We know that the point (-3, 4) is on the terminal side of the angle θ, and we can use the Pythagorean theorem to find the value of the hypotenuse:

r² = x² + y²

r² = (-3)² + 4²

r² = 9 + 16

r² = 25

r = 5

Now we can find the values of sin θ, csc θ, and cot θ:

sin θ = y/r = 4/5

csc θ = r/y = 5/4

cot θ = x/y = -3/4

Therefore, sin θ = 4/5, csc θ = 5/4, and cot θ = -3/4.

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Answer:

1/14

Step-by-step explanation:

The ratio is 5:70. The fraction form of that is 5/70. To get the lowest terms, I divided both numbers by 5. So it is 1/14

The probability that it is raining and the flight is delayed is 0.011, or approximately 0.011 rounded to the nearest thousandth.

Let's use the formula for calculating the probability of the intersection of two events: P(A and B) = P(A) × P(B|A), where P(B|A) is the probability of event B occurring given that event A has occurred.

Let A be the event that it is raining, and B be the event that the flight is delayed. We are looking for P(A and B).

We know that:

P(A) = 0.1 (the probability that it will rain)

P(B) = 0.11 (the probability that the flight will be delayed)

P(not A and not B) = 0.88 (the probability that it will not rain and the flight will leave on time)

We can use the complement rule to find P(A or B):

P(A or B) = 1 - P(not A and not B)

P(A or B) = 1 - 0.88

P(A or B) = 0.12

Now we can use the formula for the intersection of two events:

P(A and B) = P(A) × P(B|A)

We know that P(A) = 0.1, and we need to find P(B|A), the probability of the flight being delayed given that it is raining.

We can use Bayes' theorem to find P(B|A):

P(B|A) = P(A and B) / P(A)

P(B|A) = (P(A) × P(B|A)) / P(A)

P(B|A) = P(B and A) / P(A)

We can rearrange this to get:

P(A and B) = P(B|A) × P(A)

Substituting the values we know:

P(B|A) = P(A and B) / P(A)

0.11 = P(A and B) / 0.1

P(A and B) = 0.11 × 0.1

P(A and B) = 0.011

Therefore, the probability that it is raining and the flight is delayed is 0.011, or approximately 0.011 rounded to the nearest thousandth.

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Answer:

Step-by-step explanation:

When x=3, y = ln(3-2) =  ln(1) = 0.

:::::

When x=4, y = ln(4-2) = ln(2) ≅ 0.693.

:::::

When x=6, y = ln(6-2) = ln(4) ≅ 1.386.

The values of y for the given values of x are approximately 0.000, 0.693, and 1.386, respectively

Two or more expressions with an Equal sign is called as Equation.

We have equation y = ln(x - 2).

Substituting the given values of x, we get:

When x = 3, y = ln(3 - 2)

= ln(1) = 0

substitute x = 4 in given equation

y = ln(4 - 2)

= ln(2) = 0.693

When x = 6,

y = ln(6 - 2)

= ln(4)

= 1.386

Therefore, the values of y for the given values of x are approximately 0.000, 0.693, and 1.386, respectively

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What is the maximum height of the ball 182.25 feet

How many seconds does it take until the ball hits the ground 6 seconds

The maximum height will occur at the vertex v(h', k)

h' = -b/2a

From the equation h = − 16 t^2 + 84 t + 72

a = -16

b = 84

h' = -84/(2 * -16)

h' = t = 2.625

k = h = − 16 t^2 + 84 t + 72 at t = 2.625

= − 16 * 2.625^2 + 84 * 2.625 + 72

= 182.25 feet

The ball hits the ground when h = 0

0 = − 16 t^2 + 84 t + 72

solving the quadratic equation gives

t = 6 OR -3/4

Use the positive value

t = 6 seconds

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Answer:

5.832

Step-by-step explanation:

The expression in the options which is equivalent to the given expression is D. (22x + 48) / (x² - 36).

Given expression is,

[15 / (x - 6)] + [7 / (x + 6)]

Cross multiplying the two fractional expressions,

= [15 (x + 6) + 7 (x - 6)] / [(x - 6) (x + 6)]

= [15x + 90 + 7x - 42] / [x² - 6²]

= (22x + 48) / (x² - 36)

Hence the equivalent expression is D.

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In this case, the given sample mean of 25.3 is only slightly higher than the population mean of 25, and is well within one standard deviation from the population mean. Therefore, the probability of a sample mean being less than 25.3 is 0.9582.

In statistics, the mean is a measure of central tendency that represents the sum of all values in a dataset divided by the total number of values in that dataset. It is also commonly referred to as the average.

Here,

To find the required probability, we need to calculate the z-score first:

z = (x - μ) / (σ / √n)

z = (25.3 - 25) / (1.3 / √68)

z = 1.73

Looking at the standard normal table, the probability of a z-score being less than 1.73 is 0.9582.

To determine whether the given sample mean would be considered unusual, we need to compare it to the population mean and standard deviation. A sample mean is considered unusual if it falls outside the range of values that are expected to occur with a high probability based on the population mean and standard deviation.

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Answer:

$3606.44

Step-by-step explanation:

The question asks us to calculate the principal amount that needs to be invested in order to earn an interest of $6180 in 28 years at an annual interest rate of 6.12%.

To do this, we need to use the formula for simple interest:

\(\boxed{I = \frac{P \times R \times T}{100}}\),

where:

I = interest earned

P = principal invested

R = annual interest rate

T = time

By substituting the known values into the formula above and then solving for P, we can calculate the amount that James needs to invest:

\(6180 = \frac{P \times 6.12 \times 28}{100}\)

⇒ \(6180 \times 100 = P \times 171.36\)     [Multiplying both sides by 100]

⇒ \(P = \frac{6180 \times 100}{171.36}\)    [Dividing both sides of the equation by 171.36]

⇒ \(P = \bf 3606.44\)

Therefore, James needs to invest $3606.44.

The sum must be greater than the longest side, not equal to it. The shorter two sides cannot angle up to form a triangle if they are precisely the same. When the sum of the two shortest sides equals the length of the longest side, it does not work.

The Triangle Inequality Theorem is simply a more formal way of expressing what we have just observed.

We discovered that the two short sides, which represent the sum of the two shortest sides, must be longer than the longest side in order for the theorem to hold.

The Triangle Inequality Theorem can be expressed in a variety of ways. It can also be said that any two sides of a triangle must have lengths that are greater than the length of the third side. The two shortest sides must be longer than the longest side when they are joined end to end in order for them to be able to tilt up to create a triangle.

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Answer:

y = 2x + 1

Step-by-step explanation:

the line passes (0, 1) and (2, 5)

the slope = (5-1)/(2-0) = 4/2 = 2

the equation :

y - 1 = 2( x -0)

y-1 = 2x

=> y = 2x + 1

The Correct answer is option b. The proportion of this population that lies at or below x=87 is 0.3085.

We can conclude that the proportion of this population that lies at or below x=87 is 0.6915 because the graph shows that the area under the curve to the left of x=87 is 0.3085. However, we cannot conclude that the proportion of this population that lies at or below x=87 is 0.3085 because this statement is contradictory to the information provided in the graph.

The area under the curve to the left of x=87 represents the proportion of the population that lies at or below x=87, so it cannot also be equal to the proportion of the population that lies at or above x=87.

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Answer:

Step-by-step explanation:

22.57 cm inches are the net weight of the slope