Answer:

**Answer:**

**$16.8912**

**Step-by-step explanation:**

We are given that Amelia and her two friends went out to lunch.

If each girl ordered exactly the same meal.

We have to find out the value of price of each meal without tax.

Total cost of meals=$55.08

Cost of 3 meals with tax=$55.08

Sales tax=8% of $55.08

8% of 55.08=

8% of 55.08= $4.4064

Cost of 3 meals without tax=$55.08-$4.4064=$50.6736

Cost of each meal=$16.8912

**Hence, the cost of each meal without tax=$16.8912**

Answer:
Cost of the meal with tax = 108% = $55.08

108% = 55.08

1% = 55.08 ÷ 108 = $0.51

100% = $51

3 meals = $51

1 meal = $51 ÷ 3 = $17

**Answer: $17**

108% = 55.08

1% = 55.08 ÷ 108 = $0.51

100% = $51

3 meals = $51

1 meal = $51 ÷ 3 = $17

Please help me with this

Peter weighs 156 pounds, but he would like to wrestle in a lower weightclass. He loses 4 pounds one week, gains back 2 pounds the next, loses 5pounds the third week and loses 3 pounds the fourth week. How much doesPeter weigh now?

The perimeter of a rectangle is 52 feet. Describe the possible lengths of a side if the area of the rectangle is not to exceed 120 square feet. I need to find the solution set for this.

28.2% of 92 this is for math

What is the volume of a rectangular prism with a height of 6 m, a length of 4 m, and a width of 2 m?28 m3 38 m3 44 m3 48 m3

Peter weighs 156 pounds, but he would like to wrestle in a lower weightclass. He loses 4 pounds one week, gains back 2 pounds the next, loses 5pounds the third week and loses 3 pounds the fourth week. How much doesPeter weigh now?

The perimeter of a rectangle is 52 feet. Describe the possible lengths of a side if the area of the rectangle is not to exceed 120 square feet. I need to find the solution set for this.

28.2% of 92 this is for math

What is the volume of a rectangular prism with a height of 6 m, a length of 4 m, and a width of 2 m?28 m3 38 m3 44 m3 48 m3

The graph show\ing the demand (D) and supply (S = MC) curves in the market for hot dogs indicate: **Competitive market.**

In a market were their is **competition**, when demand and supply curves intersect this indicate market **equilibrium.**

Based on the graph the market equilibrium** price** will be **$1.50** per hot dog while on the other hand the market equilibrium **quantity** will be 250 hot dogs which is the point were demand and supply** intersect.**

Inconclusion the market for hot dogs indicate: **Competitive market.**

Learn more about **competitve market **here:brainly.com/question/25717627

Answer:IF each vendor has his own price or (ppower) so far every single vendor will have his own price.

Step-by-step explanation:

Answer:

a) 0.25249

b) 0.66575

Step-by-step explanation:

We solve this question using z score formula

= z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 23.2 gallons

σ is the population standard deviation = 2.7 gallons

a) Find the probability that a randomly selected American drinks more than 25 gallons of bottled water in a year.

For x = 25 gallons

z = 25 - 23.2/2.7

z = 0.66667

Probability value from Z-Table:

P(x<25) = 0.74751

P(x>25) = 1 - P(x<25)

1 - 0.74751

= 0.25249

The probability that a randomly selected American drinks more than 25 gallons of bottled water in a year is 0.25249

2) What is the probability that the selected person drinks between 22 and 30 gallons

For x = 22 gallons

z = 22 - 23.2/2.7

z = -0.44444

Probability value from Z-Table:

P(x = 22) = 0.32836

For x = 30 gallons

z = 30 - 23.2/2.7

z =2.51852

Probability value from Z-Table:

P(x = 30) = 0.99411

The probability that the selected person drinks between 22 and 30 gallons is

P(x = 30) - P(x = 22)

= 0.99411 - 0.32836

= 0.66575

The probability that a randomly selected **American **drinks more than 25 gallons of bottled water in a year is approximately 0.2514, while the probability that they will drink between 22 and 30 gallons is approximately 0.6643.

This is a statistics question about probability **distribution**, specifically, normal distribution. You need to find the z-scores and use the standard normal distribution table to find the probabilities.

The average or mean (μ) consumption is 23.2 gallons and standard deviation (σ) is 2.7 gallons.

First, we use the z-score formula: z = (X - μ) / σ

To find out the probability that a selected American drinks more than 25 gallons annually, we substitute X = 25, μ = 23.2 and σ = 2.7 into the z-score formula to get z = (25 - 23.2) / 2.7 ≈ 0.67. Z value of 0.67 corresponds to the probability of 0.7486 in standard normal distribution table, but this is the opposite of what we want. We need to subtract this probability from 1 to find the probability that a person drinks more than 25 gallons annually. So 1 - 0.7486 = 0.2514.

Second, to find the probability an **individual **drinks between 22 and 30 gallons, we calculate two z-scores: For X = 22, z = (22 - 23.2) / 2.7 ≈ -0.44 with corresponding probability 0.3300, and for X = 30, z = (30 - 23.2) / 2.7 ≈ 2.52 with corresponding probability 0.9943. We find the probability of someone drinking between these quantities by subtracting the smaller probability from the larger, 0.9943 - 0.3300 = 0.6643.

#SPJ3

A 6(6+8)

B. 12(3+4)

C. 2(18-24)

D. 419-12

The answer is 2(18-24) or C.

It’s c! Make sure to do the problems and remember when a problem has () these you do that problem first then the rest!

The **dimensions** that **minimize the cost** of building the tank are .

Let

and

and

Therefore,

From the question

The **total cost** becomes

We need to eliminate . The **volume** from the question gives a way out

substitute into the formula for **total cost **gives, after simplifying

differentiating with respect to , we get

at extrema

To confirm that is a **minimum **value, carry out the second derivative test

substituting , we get that > , confirming that **minimum **value

To find , recall that

substituting , we get as the corresponding **minimum height**

Therefore, **minimize **the **total cost **of building the tank.

Learn more about **minimizing dimensions** to **reduce costs** here: brainly.com/question/19053049

The problem involves finding the **dimensions **of a cylinder and two hemispheres that minimize the cost to build an industrial tank of a specific volume. This involves setting up equations for the volume and cost, and then using calculus to find the dimensions that minimize the cost.

This problem can be solved using calculus. Let's denote the radius of both the **hemispheres **and the cylinder as **r** and the height of the cylinder as **h**. The total volume of the solid is the sum of the volume of the cylinder and the two hemispheres. Using the formulas for the volumes of a cylinder and hemisphere, we have:

V = (πr²h) + 2*(2/3πr³) = 4640 cubic feet.

The total cost of the material is proportional to the surface area. The surface area of the two hemispheres is twice as expensive as that of the sides of the cylinder, so we have:

Cost = 2*(2πr²) + πrh.

To minimize the cost, we can take the derivative of the Cost function with respect to r and h, set them equal to zero, and solve for r and h.

This problem involves calculus, the volume of cylinders and spheres, and optimization, which are topics covered in high school mathematics.

#SPJ11

**Answer:there is nothing attached **

**Step-by-step explanation:**

**Answer:**

2≤x≤4

**Step-by-step explanation:**

2 is less than/equal to x; x is less than/equal to 4