The stand time for commercialis is a randos variable with a mean 2 minutes and a standard deviation of 3 minutes. Assume that the distributional and all times is approximately not, you may sume that the juts are lined up to any that one taxes and takes off immediately after the other, and that they are one se nanay. USE SALT (a) what is the probably that way to and the time witte less than 30 minutes and your newer to four decomplace) what is the personas verwys and new best sound you to low den.) What is the probity that he is ones funny and of time will be between 273 270 minutes?

The dog's running speed of 5 km/hr can be converted to approximately 3.125 mi/hr by multiplying it by the conversion factor of 1 mi/1.6 km. Rounding to the nearest thousandth, the dog can run at about 3.125 mi/hr.

To convert the dog's running speed from kilometers per hour (km/hr) to miles per hour (mi/hr), we need to use the conversion factor of 1.6 km = 1 mi.First, we can convert the dog's speed from km/hr to mi/hr by multiplying it by the conversion factor: 5 km/hr * (1 mi/1.6 km) = 3.125 mi/hr.

However, we need to round the answer to the nearest thousandth (three decimal places). Since the digit after the thousandth place is 5, we round up the thousandth place to obtain the final answer.

Therefore, the dog can run at approximately 3.125 mi/hr.

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The total number of tasks Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed

The factor 'x' in the expression '90x - 20' represents the total number of tasks that Terrence completed in the game.

To understand why, let's break down the given information. It states that Shelly and Terrence completed a different number of tasks. Shelly earned 90 points on each task, so the total number of tasks she completed is not represented by 'x'.

On the other hand, Terrence's total points were 20 less than Shelly's total. This means that Terrence's total points can be calculated by subtracting 20 from Shelly's total points. Since Shelly earned 90 points on each task, her total points would be 90 multiplied by the number of tasks she completed.

So, the expression '90x - 20' represents Terrence's total points in the game, where 'x' represents the total number of tasks that Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed, we can calculate his total points.

Therefore, the correct answer is: The total number of tasks Terrence completed.

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Answer:

b) 33.75≤x≤34.25

Step-by-step explanation:

X could equal either 34.25 or 33.75 to give you exactly 0.25. Since the answer can be less than 0.25, it’s all numbers between 33.75 and 34.25, including those two numbers.  (That’s why the circles are filled in, unlike answer a).

Answer: 13/25

Step-by-step explanation: it is equal to 52% which is greater than 50%

50% is greater than 13/25. To compare these two values, you can convert both of them to a common denominator, such as 50%. 50% is equal to 1/2, so 13/25 is equal to 52/50, which is less than 1/2 or 50%. Alternatively, you can also express both fractions as decimals and compare the two values that way. 50% is equal to 0.5, and 13/25 is equal to 0.52, so 50% is still greater than 13/25.

Answer:

s = 150f

Step-by-step explanation:

A tropical punch recipe calls for 300 ml of sugar for every 2 flavor packages. Write an equation that shows the relationship between s, the amount of sugar in milliliters, and f, the number of flavor packages for this recipe.

The amount of sugar in milliliters = s

The amount of flavor packages for these recipe = f

The relationship between 2 variables

= y ∝ x

y = kx

k = constant of proportionality

Hence:

s ∝ f

s = kf

Note ,

s = 300

f = 2

300 = 2k

k = 300/2

k = 150

Therefore, the equation that shows the relationship between s, the amount of sugar in milliliters, and f, the number of flavor packages for this recipe is:

s = kf

s = 150f

Answer:

2=150f

Step-by-step explanation:

khan said so

Step-by-step explanation:

This is a trick question I think.

It says he managed to only travel 3 7/8. So wouldn't that mean the fraction of his planned trip that he travel would be... 3 7/8? Unless they want it as 31/8? Something is odd with the question

The amount of feet the circumference of the outer circle is greater than the circumference of the inner circle is 18.86 feet.

Circumference is the measure of distance around a circle.

To calculate the how many feet the circumference of the outer circle is greater than the circumference of the inner circle, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the difference in circumference between the outer and the inner is 18.86

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Answer:

14

Step-by-step explanation:

Our goal is to round it so we only have an integer part using the following rules:

If the first digit in the fractional part of 13.62 is less than 5 then we simply remove the fractional part to get the answer.

If the first digit in the fractional part of 13.62 is 5 or above, then we add 1 to the integer part and remove the fractional part to get the answer.

The first digit in the fractional part is 6 and 6 is 5 or above. Therefore, we add 1 to the integer part and remove the fractional part to get 13.62 rounded to the nearest whole number as:

14

Answer:

y=-5x+14

Step-by-step explanation:

x-5y=9

x-9=5y

y=\(\frac{1}{5}\)x-\(\frac{9}{5}\)

The slope for this line is: 1/5

The product of the slopes of any two perpendicular lines equals -1.

So the slope for the perpendicular line will be -5.

The point-slope formula=

Given slope m and a point on the line: (X, Y), the equation of the line will be:

y-Y=m(x-X)

So the equation for the perpendicular should be:

y-4=(-5)(x-2)

Simplify:

y-4=-5x+10

y=-5x+14

The length of QS in parallelogram RSTU is 7c - 1.

A parallelogram is a quadrilateral with two pairs of parallel sides. This means that opposite sides of the parallelogram are parallel and have the same length. Additionally, opposite angles of a parallelogram are congruent, meaning they have the same measure.

Some important properties of parallelograms include:

Diagonals bisect each other: The diagonals of a parallelogram bisect each other. This means that the point where the diagonals intersect is the midpoint of each diagonal.

Opposite sides are congruent: The opposite sides of a parallelogram are congruent. This means that they have the same length.

Consecutive angles are supplementary: Consecutive angles of a parallelogram are supplementary, meaning they add up to 180 degrees.

Each pair of opposite sides is parallel: In a parallelogram, each pair of opposite sides is parallel. This means that the distance between the parallel sides is constant along the length of the parallelogram.

In a parallelogram, opposite sides are equal in length. Therefore, if we can find the length of TU, we can use it to find the length of QS.

To find TU, we can use the fact that SU and RT are diagonals that intersect at Q. Since diagonals of a parallelogram bisect each other, we know that QU = QT and QS = QS. Therefore, we can write:

TU = QU + QS = (c + 7) + (6c - 8) = 7c - 1

Now that we know TU, we can use it to find QS. Since QS = TU, we have:

QS = 7c - 1

Therefore, the length of QS in parallelogram RSTU is 7c - 1.

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The constant of proportionality of the proportional relationship is:

k = 6.

The proportionality constant k is described as k=y/x when y and x are two numbers that are proportionate to one another directly. Finding the equation y=kx, which represents the directly proportional relationship between x and y, with your particular k is possible once you know the proportionality constant.

Now in the given graph,

consider a point on the proportional graph, (5, 30):

x = 5

y = 30

Therefore , constant of probability:

k = y/x

k = 30 / 5

k = 6

Therefore, the constant of proportionality of the proportional relationship is: k = 6

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Answer:

1/7

Step-by-step explanation:

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be $605.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

Here, Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop.

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be:

= $365 + (5% × $4800)

= $605

The amount is $605.

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Answer:

Spends $20 and she has $5 leftover.

Step-by-step explanation:

There are number of 170 seats with folding arm tablets that are not designed for wheelchair users.

1. First we need to identify the total number of seats in the lecture hall which is 200.

2. Then we need to identify the number of seats with folding arm tablets that are designed for wheelchair users which is 30.

3. To find the number of seats with folding arm tablets that are not designed for wheelchair users, we can subtract the number of seats designed for wheelchair users from the total number of seats.

4. Therefore, 200 - 30 = 170, which means there are 170 seats with folding arm tablets that are not designed for wheelchair users.

The lecture hall in question has a total of 200 seats, with 30 of those seats having folding arm tablets that are designed for wheelchair users. To find the number of seats with folding arm tablets that are not designed for wheelchair users, we can subtract the number of seats designed for wheelchair users from the total number of seats. This means that 200 - 30 = 170, which means there are number of 170 seats with folding arm tablets that are not designed for wheelchair users.

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If Lucinda used a random selection method, made an effort to ensure that the sample is representative, and the sample size is large enough, then it's possible that the sample is indeed random.

what are perpendicular lines?

Perpendicular lines are two lines that intersect at a 90-degree angle, forming four right angles at the point of intersection. In other words, if you were to draw a perpendicular line from one of the lines to the other at their point of intersection, it would form a right angle with each of the original lines.

Without having access to more information about how Lucinda selected the sample of students, it's difficult to determine whether or not the sample is truly random.

However, there are a few things that we can consider when trying to determine whether or not the sample is random. For example:

Did Lucinda use a random selection method to choose the students? If she simply surveyed her friends or classmates, for example, the sample would not be random.

Did Lucinda make any effort to ensure that the sample is representative of the larger population of students? For example, did she make sure to include students from a variety of grades, genders, and ethnic backgrounds.

Therefore, if Lucinda used a random selection method, and made an effort to ensure that the sample is representative, and the sample size is large enough, then it's possible that the sample is indeed random.

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The price of one adult ticket is $15 and the price of one child ticket is $8.

Two sets of equations can be derived from this question:

14a + 14c = 322 equation 1

12a + c = 188 equation 2

These equations are known as simultaneous equations and they can be solved to determine the cost of each ticket using the elimination method.

In order to determine the cost of the adult's ticket multiply equation 2 by 14

168a + 14c = 2632 equation 3

Subtract equation 1 from 3

2310 = 154a

Divide both sides by 154

a = $15

To determine the cost of the children's ticket substitute for a in equation 1

14(15) + 14c = 322

210 + 14c = 322

322 - 210 = 14c

112 = 14c

c = $8

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Answer:

1.5

Step-by-step explanation:

To find out the gradient (or the slope), we can use the formula

Gradient = (y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are any two points lying on the line.

Looking at the graph, we can take any two points and simply plug the coordinates in the equation. For instance, take (0,-2) and (2,1)

Therefore we get the gradient as (1- -2)/(2-0) = 3/2 or 1.5.

Feel free to ask any doubts you may have.

Hope this helps! :D

The ocean freight charges for the given shipment in Canadian dollars would be approximately 603.25 CAD.

To calculate the ocean freight charges in Canadian dollars for the given shipment, we need to follow these steps:

Step 1: Calculate the volume and weight of each cargo item:

For the skids of Apple:

Volume = 100 cm x 100 cm x 150 cm

= 1,500,000 cm³

= 1.5 m³

Weight = 400 kg each x 2

= 800 kg

For the boxes of Orange:

Volume = 35" x 25" x 30"

= 26,250 cubic inches

= 0.4292 m³

Weight = 100 kg each x 3

= 300 kg

Step 2: Calculate the total volume and weight of the shipment:

Total Volume = Volume of Apples + Volume of Oranges

= 1.5 m³ + 0.4292 m³

= 1.9292 m³

Total Weight = Weight of Apples + Weight of Oranges

= 800 kg + 300 kg

= 1,100 kg

Step 3: Convert the ocean freight rate to Canadian dollars:

Ocean freight rate to Mumbai = $250 USD / m³

Conversion rate: 1 USD = 1.25 CAD (Canadian dollars)

Freight rate in CAD = $250 USD/m³ x 1.25 CAD/USD

= 312.5 CAD/m³

Step 4: Calculate the freight charges for the shipment:

Freight charges = Total Volume x Freight rate in CAD

Freight charges = 1.9292 m³ x 312.5 CAD/m³

= 603.25 CAD

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Answer:

The smallest value is 2) the opposite of 50 because it is farthest left of the zero (this makes it the smallest)

Step-by-step explanation:

1) = 100

2) = -50

3) = 0

4) = -25

5) = -5

Answer:

h = 403.92in or 1026cm

Step-by-step explanation:

Given

Let x represent the density of mercury, and y the density of water.

\(y = 13.5x\)

\(Mercury\ barometer =76cm\) or \(Mercury\ barometer =29.92in\)

Required

Determine the height of the barometer

At standard atmospheric pressure, the relationship between the mercury barometer and the height (h) of the barometer is:

\(h = 13.5 * Mercury\ barometer\)

In centimeters, we have:

\(h = 13.5 * 76cm\)

\(h = 1026cm\)

In inches, we have:

\(h = 13.5 * 29.92in\)

\(h = 403.92in\)

The equation of the line would be y = (-3/4)x + 5.

What is the slope-point form of the line?

For the line having slope "m" and the point (x1, y1) the equation of the line passing through the point (x1, y1) having slope 'm' would be

                      y - y1 = m(x - x1)

The given equation is \(y=-\frac{3}{4}x-17\)

The required line is parallel to the given line.

and we know that the slopes of the parallel lines are equal so the slope of the required line would be m = -3/4

And the required line passes through (8, -1)

so by using slope - point form of the line,

      y - (-1) = (-3/4)(x - 8)

      y + 1 = (-3/4)x - (-3/4)8

       y + 1 = (-3/4)x + 24/4

       y = (-3/4)x + (12/2 - 1)

       y = (-3/4)x + 5

Hence, the equation of the line would be y = (-3/4)x + 5.

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To show that w = u × v and v = w × u, we need to demonstrate that the cross product of vectors u and v yields the same result as the cross product of vectors w and u.

Given that u = v × w, let's calculate the cross product of w and u:

w × u = (u × v) × u

Since the cross product is not associative, we need to use the vector triple product identity:

w × u = u × (v × u) - (u · u) v

Since u is orthogonal to v, the dot product (u · v) is zero. Therefore, we can simplify the equation:

w × u = u × (v × u)

Next, let's calculate the cross product of v and u:

v × u = (u × v) × v

Using the vector triple product identity:

v × u = v × (u × v) + (v · v) u

Again, since u is orthogonal to v, the dot product (v · v) is zero:

v × u = v × (u × v)

Thus, we have shown that w = u × v and v = w × u, indicating that the cross products are equivalent in both directions.

In summary, when u, v, and w are orthogonal unit vectors, the cross product of u and v yields the same result as the cross product of w and u, as well as the cross product of v and w.

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Answer:

x= 2, y= 1

Step-by-step explanation:

3x -y= 5 -----(1)

-x +y= -1 -----(2)

(1) +(2):

3x -y -x +y= 5 -1

2x= 4

Divide both sides by 2:

x= 4 ÷2

x= 2

Substitute x= 2 into (2):

-2 +y= -1

y= -1 +2

y= 1

Answer:

x= -2

............................

Answer:

A

Step-by-step explanation:

4x+2y=8

2y=-4x+8

y=-2x+4

sorry if this wasn't in time

2.1 The volume in ml of one can of cold drink is 83 ml.

2.2 The height of the cooler bag is 18 cm.

2.3 The volume in ml of the cooler bag if the breadth of the bag is 12 cm and the length 18 cm is 3,888 ml.

2.4 The circumference of the can is 18.84 cm.

In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:

Volume of a cylinder, V = πr²h

Where:

By substituting the given side lengths into the volume of a cylinder formula, we have the following;

Volume of can = 3.14 × (6/2)² × 8.84

Volume of can = 83.27 cm³.

Note: 1 cm³ = 1 ml

Volume of can in ml = 83.27 ≈ 83 ml.

Part 2.2.

For the height of the cooler bag, we have:

Height of cooler bag = 2 × height of can

Height of cooler bag = 2 × 8.84

Height of cooler bag = 17.68 ≈ 18 cm.

Part 2.3

Volume of cooler bag = length × breadth × height

Volume of cooler bag = 18 × 12 × 18

Volume of cooler bag = 3,888 ml.

Part 2.4

The circumference of the can is given by:

Circumference of circle = 2πr

Circumference of can = 2 × 3.14 × 3

Circumference of can = 18.84 cm.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.