2. Do you agree with your classmate's conjecture? Given your answer for question 1 and the information below, do you think the amount of water wasted by the leaky faucet over the course of 1 day is closer to the estimate of 1 cup, 1 gallon, or 1 shower? Explain your reasoning. (3 points: 1 point for circling your estimate, 1 point for filling in the blank, and 1 point for explaining your reasoning) Equivalent Measures Conversion Ratios 30 drips = 1 minute 30 drips 1 minute 1 minute 30 drips 15,140 drips = 1 gallon 15,140 drips 1 gallon 1 gallon 15,140 drips 16 cups = 1 gallon 16 cups 1 gallon 1 gallon 16 cups I think the amount of water wasted is closer to

Using proportions, it is found that there are 16 pinches in one teaspoon.

Hence, the rule of three is:

1 dash - 2 pinches

8 dashes - x pinches

Applying cross multiplication:

\(x = 2(8) = 16\)

There are 16 pinches in one teaspoon.

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Answer:

See Below

Step-by-step explanation:

We are given 3 equations.

3x + 8

5x - 20

and

5x + 4y

First lets solve for x using the first two

3x + 8 = 5x -20

Move the variables to one side

3x + 8 = 5x -20

-3x        -3x

8 = 2x -20

+20     +20

28 =2x

28/2 =2x /2

14 = x

Now we have x = 14

Lets plug this into the second equation to solve for the angle

3(14) + 8

42 + 8 = 50

5(14) - 20

70 - 20 =50

Now, lets plug the x and the angle into the third equation to find y

5 (14) +4y = 50

70 + 4y = 50

-70           -70

4y = -20

4y/4 = -20/4

y = -5

So now we have:

x = 14

y = -5

and the angle = 50

Hope this helps!

Answer:

\(\tan D=\frac{7}{4},\\\\\sin D=\frac{7}{8.1}, \\\\\cos D=\frac{4}{8.1}, \\\\GI=5.0\)

Step-by-step explanation:

In any right triangle, the following is true:

The sine of any angle is equal to its opposite side divided by the hypotenuse of the triangle. (o/h)

The cosines of any angle is equal to its adjacent side divided by the hypotenuse. (a/h)

The tangent of any angle is equal to its opposite side divided by its adjacent side. (o/a)

Thus,

\(\text{3. }\\\tan D=\frac{7}{4},\\\\\sin D=\frac{7}{8.1}, \\\\\cos D=\frac{4}{8.1},\)

\(\text{4. }\tan 68^{\circ}=\frac{GI}{2},\\GI=2\tan68^{\circ}=4.95017370683\approx \boxed{5.0}\)

Incremental cash flows associated with the donation of a valuable painting from a corporation's private collection may include It's important to note that any direct costs associated with the donation.

Tax benefits: The corporation may be eligible for tax deductions or credits for charitable donations, which could result in a reduction in its tax liability and generate cash flow savings.

Opportunity cost: If the corporation could have sold the painting instead of donating it, the incremental cash flow would be the potential proceeds from the sale.

Storage and maintenance cost savings: By donating the painting to the art museum, the corporation no longer has to incur expenses for storing, insuring, and maintaining the artwork, resulting in cost savings.

Public relations and marketing benefits: Donating the painting can enhance the corporation's reputation and generate positive publicity, potentially leading to increased customer goodwill and brand value, which can translate into future cash flows.

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Answer:

Mean 1.580666667 1.769333333

Standard Deviation 0.890741799 1.123161779

Step-by-step explanation:

When we run the commands in the R software we get the graphs as follows.

The commands were

qqnorm(c(0.32,0.52,0.77,0.81,0.96,1.2,1.31,1.43,1.62,1.87,1.95,2.1,2.48,3,3.37))

and

qqnorm(c(0.47,0.59,0.81,0.9,1.18,1.2,1.35,1.51,1.74,1.89,2.05,2.2,2.81,3.09,4.75))

We can plot the graphs in any other plotting software .

The results would be same .

We see there's a slight difference between the two graphs.

One curve goes above ( Minneapolis) for  0.4 and the other ( for St Paul) is below 0.4

Answer:

The parallelogram's height is 2 inches

Answer:

You can try using flash cards or use quizlet

Answer:

By studying practice quizzes in that chapter and reviewing past work.

Step-by-step explanation:

hope this helped!

Answer:

2

Step-by-step explanation:

Answer:

Hi it is like

Find the greatest common factor​ (GCF) of 42a3b, 24a2b2, and 24ab38

Step-by-step explanation:

If we use the 1.5 * IQR rule to see if there are any outliers, the correct boundary is 43 days.

To use the 1.5 * IQR rule to determine whether there are any outliers in this data set, we need to first calculate the IQR. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1).

IQR = Q3 - Q1

= 28 - 18

= 10

Next, we can calculate the boundaries for potential outliers:

Lower boundary = Q1 - 1.5 * IQR

= 18 - 1.5 * 10

= 3

Upper boundary = Q3 + 1.5 * IQR

= 28 + 1.5 * 10

= 43

Since the maximum value in the data set is 56, there are no outliers above the upper boundary. Therefore, the right boundary is 43 days.

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SOLUTION

From the question, we are given that the distance between Station A and B = 220 feet

The track rise is 6 feet

We need to find the slope of the railway track between station A and B

The maximum grade allowed between two stations in a rapid-transit system is 3.6%

We know that the slope of the railway track is equal to the gradient of the tracks.

So, the slope of the railway track is defined as the ratio of the distance between the stations and track rises.

Which is

So, x = 2.73%

Hence the grade of the tracks between these​ stations is 2.73%

This is less than the maximum grade 3.6% allowed between two stations in a rapid-transit rail system.

Hence this meets the rapid-transit rail standards

Answer:

The building is 187.5 feet tall.

Step-by-step explanation:

A nearby person is 6 feet tall, and casts a shadow that is 8 feet long.

This means that the relation between the real height and the shadow is given by:

\(\frac{6}{8} = \frac{3}{4}\)

A tall building casts a shadow that is 250 feet long. How tall is the building?*

The real height is three fourths of the shadow. So

\(\frac{3}{4}*250 = 187.5\)

The building is 187.5 feet tall.

There is only 1 possible 11-card hand that can be formed from a 20-card deck.

To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.

The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.

The formula for combinations is:

nCk = n! / (k!(n-k)!)

Where "!" denotes the factorial of a number.

Substituting the values into the formula:

20C11 = 20! / (11!(20-11)!)

Simplifying further:

20C11 = 20! / (11! * 9!)

Now, let's calculate the factorial values:

20! = 20 * 19 * 18 * ... * 2 * 1

11! = 11 * 10 * 9 * ... * 2 * 1

9! = 9 * 8 * 7 * ... * 2 * 1

By canceling out common terms in the numerator and denominator, we get:

20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)

Performing the multiplication:

20C11 = 39,916,800 / 39,916,800

Finally, the result simplifies to:

20C11 = 1

Consequently, with a 20-card deck, there is only one potential 11-card hand.

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Answer:

A trapezoid prism from the looks of it.

Step-by-step explanation:

Hope this helps!

We have the following equation:

since we need P, we must move k and V to the left hand side as

By substituting the given values, we get

that is, P is equal to 2.

Answer:

3

Step-by-step explanation:

Lower quartile (xL): 13.5

Upper quartile (xU): 18.5

Interquartile range (xU-xL): 3

Thanks!

Answer:

3 is the interquartile range.

To find interquartile range:

Here:

using the formula:

→ 18 - 15

→ 3

The angle measures for this problem are given as follows:

The sum of the measures of the internal angles of a triangle is of 180º.

The triangle in this problem is ABC, hence the measure of a is obtained as follows:

a + 68 + 50 = 180

a = 180 - (68 + 50)

a = 62º.

c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:

Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:

a + b = 180

62 + b = 180

b = 118º.

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nswer:

Step-by-step explanation:

Step-by-step explanation:

We can use the FOIL method to find the product of (4x − 3)(x + 2):

(4x − 3)(x + 2) = 4x(x) + 4x(2) - 3(x) - 3(2)

= 4x^2 + 8x - 3x - 6

= 4x^2 + 5x - 6

Therefore, the product of (4x − 3)(x + 2) is 4x^2 + 5x − 6. Answer: (A)

Step-by-step explanation:

(4x-3)(x+2)

4x*x,4x*2,-3*x,-3*2

4x2+8x-3x,-6

4x2(8x-3x)-6

4x2+5x-6

so the answer is A

Answer:

It may not be able to recieve as much water giving it less nutriants

Step-by-step explanation:

A plant that has a genetic mutation that results in shorter toots will not grow well because it's roots are not strong enough to hold it's weight.

Answer:

57

Step-by-step explanation:

Answer:

0 is the lowest whole number

Answer:

0

Step-by-step explanation:

open side of: > means greater than. 0 is opposite side meaning it is lowest.

Answer:

Step-by-step explanation:

For this problem I'm gonna use the Excel function for the Poisson distribution. I'll leave the solutions in images attatched to this answer.

b. 55 * 0.0986= 5.423 years, or just 5 years.

c, It shows that the calculation of 5 years with 5 hurricanes in 55 years is accurate.

Does the Poisson distribution work well​ here? It does, because the calculations illusrate something very similar to the facts.

Answer:

If d meaning mile it will be 20x13

Answer:

90 degrees

Step-by-step explanation:

A triangle equals 180

180 - 60

= 120

120 - 30

= 90

Also you can easily get the answer without doing any math because you can see the angle is a right angle

Right angles equal 90

Hope this helps dude

P(A or B) =

Formula: P(AUB)=P(A)+P(B)-P(A n B)

We roll six-sided die.

Then sample space ={1,2,3,4,5,6}

And

Event A: Roll an odd number.

Odd numbers are {1,3,5}

Event B: Roll a number less than 5

Number less than 5 are {1,2,3,4}

So, Probability P(A)=

Probability P(B)=

Now, the odd number which is less than 5 are {1,3}

So, P(A n B)=

Since P(AUB)=P(A)+P(B)-P(A n B)

Therefore, P(A or B) = 1/6

The compound statement "If there are penguins and the aquarium is full of fish, then this is an octopus" can be written in symbolic form as: r ∧ q → o

Let's assign variables to represent the statements:

q: The aquarium is full of fish.

r: There are penguins.

The compound statement "If there are penguins and the aquarium is full of fish, then this is an octopus" can be written in symbolic form as: r ∧ q → o

∧ represents the logical operator "and" which connects the statements r and q.

→ represents the logical operator "implies" or "if...then".

o represents the statement "this is an octopus".

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