What is the average of
−
2
,

5
,

3
,
−
4
,

8
?

The slope of the line shown in the graph is __2/3__

and the y-intercept of the line is __6___

The general linear equation is written as follows:

y = ax + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the y-intercept is y = 6, then we can write the line as:

y = ax + 6

The line also passes through the point (-9, 0), replacing these values in the line we will get:

0 = a*-9 + 6

9a = 6

a = 6/9

a = 2/3

That is the slope.

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It's very blurry can u retake it?

The assertion is accurate. By employing proof by contrapositive, we may demonstrate it. we have demonstrated by contrapositive that if n times kn k is divisible by 4, then either n or k is divisible by 4.

The assertion is accurate. By employing proof by contrapositive, we may demonstrate it.

The converse of the following assertion is true: If n and k are not divisible by four, then n times kn k is not divisible by four.

Now, we can write knk as follows:

(P + Q) (R + S) = knk

(4r + s)

By extending this phrase, we get:

kn=4(qs + qr2) + 16pqr2

S plus Qs2, QRS2, and Q2S.

Because q and s cannot be divided by 4, none of the terms in this equation can be. Knk is therefore not divisible by 4.

As a result, we have demonstrated by contrapositive that if n times kn k is divisible by 4, then either n or k is divisible by 4.

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Answer:

Simplify the expression:

125524238436

Step-by-step explanation:

Answer:

41 purple marbles

Step-by-step explanation:

x= amount of purple marbles

3x+x=164

4x=164

x=164/4=41

CORRECT ANSWER 42 degrees = Angle A

explanation-

When solving for a triangle, regardless of shape, the angles will always have to add up to 180 degrees. We are given that the angle at the top (let's call it C) is 79 degrees. 180 minus 79 is 101. This means of the two angles left, we have 101 degrees that need to be filled between angle A and the unnamed angle. We are given the variable X in order to add among our angles to try and solve them. X+48 will give us angle A and X+65 will give us the unnamed angle. However, 65 and 48 added to 79 will give us more than 180, which means our X is less than 1.

The easiest way to solve for X is to start to subtract numbers by our given.

-2 + 48 is 46 and -2 + 65 is 63. 63 plus 48 is still more than 101. So this is incorrect.

Correct answer - X = -6.  -6 + 48 is 42, and -6 + 65 is 59. 59+42 is 101.  So our angle A is 42 degrees.

I hope this helps & good luck !

Answer:

Step-by-step explanation:

I would say A is the answer! :) It's the only problem that matches up.

Answer:

1. is ounces

2. you would use ounces

3. 3.5 x 16 = 56

4. .5, 1, 1.5, 2, 2.5

The conversions are as follows:

a) £2500 is equivalent to Jam $105,000.

b) Can $2100 is equivalent to Jam $91,350 in Guy dollars.

c) US $2300 is equivalent to Jam $96,600.

d) $26.50 is equivalent to Guy #2,510 in Jam dollars.

To solve the given currency conversions, let's calculate each exchange rate step by step:

a) Converting £2500 to TT dollars:

Given: £1 = Can $1.00

We need to find the exchange rate for Can $1 to TT dollars:

Can $1 = Guy #92

Guy #92 = Jam $42

So, Can $1 = Jam $42

Now, let's calculate the conversion:

£2500 * Can $1.00 / £1 * Jam $42 / Can $1 = £2500 * Jam $42 / £1 = Jam $105,000

Therefore, £2500 is equivalent to Jam $105,000.

b) Converting Can $2100 to Guy dollars:

Given: Can $1 = Guy #92

We need to find the exchange rate for Guy #1 to Can dollars:

Guy #92 = Jam $42

So, Guy #1 = Jam $42 / 92

Now, let's calculate the conversion:

Can $2100 * Guy #1 / Can $1 * Jam $42 / Guy #92 = Can $2100 * Jam $42 / Can $1 * Guy #92 = Jam $91,350 / Guy #92

Therefore, Can $2100 is equivalent to Jam $91,350 in Guy dollars.

c) Converting US $2300 to Jam dollars:

Given: US $1.00 = Sterling £100

Sterling £1 = Guy #92

Guy #92 = Jam $42

So, US $1.00 = Jam $42

Now, let's calculate the conversion:

US $2300 * Jam $42 / US $1.00 = Jam $96,600

Therefore, US $2300 is equivalent to Jam $96,600.

d) Converting $26.50 to Jam dollars:

Given: Can $1:00 = Guy #92

We need to find the exchange rate for Jam $1 to Can dollars:

Guy #92 = Jam $42

So, Jam $1 = Guy #92 / Jam $42

Now, let's calculate the conversion:

$26.50 * Jam $1 / Can $1.00 * Guy #92 / Jam $42 = $26.50 * Guy #92 / Can $1.00 * Jam $42 = Guy #2,510

Therefore, $26.50 is equivalent to Guy #2,510 in Jam dollars.

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2 will be the output of the following code snippet.

What is a snippet in coding?

What does a code snippet look like?

The output will be 2 because when two integers are divided in Java, the decimal portion is always truncated.

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The complete question is -

The following snippet of code would produce what outcome? public static void main(String 2 [] args) { int day = 5; switch (day) { case 1: System.out.println("Monday "); case 2: System.out.println("Tuesday "); case 3: System.out.println("Wednesday "); case 4: System.out.println("Thursday "); case 5: System.out.println("Friday "); case 6: System.out.println("Saturday "); case 7: System.out.println("Sunday "); break; default: System.out.println("Invalid Day "); } } Invalid Day Friday Saturday Sunday Invalid Day Friday Friday Saturday Sunday What will be the output of the following code: int x = 20; int y = 40; if (x > 10) { if (y > 50) { System.out.println("Hello, Friend."); } else { System.out.println("Goodbye, Friend."); } } else { if (y > 50) { System.out.println("Hello, Enemy:"); } else { System.out.println("Goodbye, Enemy."); } } Hello, Friend. Hello, Enemy. Goodbye, Friend. Goodbye, Enemy.

The probability that neither of the two individuals has some college or a college degree is (1 - P(college))^2.

To calculate the probability that at least one of the two individuals chosen at random from the population will have some college or a college degree, we need to consider the complement of the event, which is the probability that none of the individuals have a college degree.

Let's assume that the population size is N, and the number of individuals with a college degree is C. The probability that an individual does not have a college degree is (N - C) / N.

When choosing the first individual, the probability that they do not have a college degree is (N - C) / N.

When choosing the second individual, the probability that they do not have a college degree is also (N - C) / N.

Since these events are independent, we can multiply the probabilities together:

P(no college degree for either individual) = (N - C) / N * (N - C) / N = (N - C)² / N².

Now, to find the probability that at least one of the individuals has a college degree, we subtract the probability of none of them having a college degree from 1:

P(at least one with a college degree) = 1 - P(no college degree for either individual) = 1 - (N - C)² / N².

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The probability that the student sees the TA is approximately 1.104 or 110.4%. However, since probabilities cannot exceed 1 or 100%, we can conclude that the probability of the student seeing the TA is 100%.

Assuming that the TA's arrival time follows a uniform distribution between the start time and the end time of their office hours, the probability that the student sees the TA can be calculated by finding the proportion of the distribution that falls within the 15-minute window.
Let's say the TA's office hours are from 1:00 PM to 4:00 PM. The probability that the TA arrives during the first 15 minutes (1:00 PM to 1:15 PM) is simply 15/180 or 1/12, as there are 180 minutes in the three-hour office hours. Similarly, the probability that the TA arrives during the second 15-minute interval (1:15 PM to 1:30 PM) is also 1/12.
To find the probability that the TA arrives during any of the 15-minute intervals up until 15 minutes before the end of their office hours (i.e., up until 3:45 PM), we add up the probabilities of each interval:
1/12 + 1/12 + 1/12 + ... + 1/12 (15 times) = 15/12 or 5/4
Therefore, the probability that the TA arrives during any of the 15-minute intervals up until 15 minutes before the end of their office hours is 5/4. However, since the student gives up and goes home if the TA has not arrived in 15 minutes, we need to adjust this probability downwards.
The probability that the TA arrives during the first 15-minute interval (1:00 PM to 1:15 PM) and the student is still there to see them is simply 1/12, as calculated earlier. Similarly, the probability that the TA arrives during the second 15-minute interval (1:15 PM to 1:30 PM) and the student is still there to see them is also 1/12.
To find the probability that the TA arrives during any of the 15-minute intervals up until 15 minutes before the end of their office hours and the student is still there to see them, we add up the probabilities of each interval:
1/12 + 1/12 + 1/12 + ... + 1/12 (15 times) = 15/12 or 5/4
But since the student gives up and goes home if the TA has not arrived within the first 15 minutes, we need to subtract the probability that the TA arrives during the first 15 minutes from this total:
5/4 - 1/12 = 53/48 or approximately 1.104
Therefore, the probability that the student sees the TA is approximately 1.104 or 110.4%. However, since probabilities cannot exceed 1 or 100%, we can conclude that the probability of the student seeing the TA is 100%. This is because the student gives up and goes home if the TA has not arrived within the first 15 minutes, which means that the TA is guaranteed to arrive before the 15-minute deadline.

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Answer:

KN ≈ 20.7 cm

Step-by-step explanation:

Using Pythagoras' identity in right triangle KLM to find KM

LM² = KL² + KM²

28² = 16² + KM²

784 = 256 + KM² ( subtract 256 from both sides )

528 = KM² ( take the square root of both sides )

\(\sqrt{528}\) = KM

----------------------------------------

Using the sine ratio in right triangle KMN

sin64° = \(\frac{opposite}{hypotenuse}\) = \(\frac{KN}{KM}\) = \(\frac{KN}{\sqrt{528} }\) ( multiply both sides by \(\sqrt{528}\)

\(\sqrt{528}\) × sin64° = KN , that is

KN ≈ 20.7 cm ( to 1 dec. place )

The bank officer should take a sample size of at least 106 customers to estimate the average total monthly deposits per customer with a 95% confidence interval and within a margin of error of $3. This ensures a reliable estimate within the desired range.

To determine the sample size needed to estimate the average total monthly deposits per customer with a specified margin of error and confidence level, we can use the formula:

n = (Z * σ / E)²

Where:

n = sample size

Z = Z-score corresponding to the desired confidence level (in this case, 95% confidence corresponds to a Z-score of approximately 1.96)

σ = standard deviation of the population

E = desired margin of error

In this case, the desired margin of error is $3, and the assumed standard deviation is $9.11. Plugging these values into the formula, we get:

n = (1.96 * 9.11 / 3)²≈ 105.7

Since the sample size must be a whole number, we round up to the nearest integer. Therefore, the bank officer should take a sample size of at least 106 customers to estimate the average total monthly deposits per customer with a 95% confidence interval and within a margin of error of $3. This sample size ensures that the estimate is likely to be within the desired range.

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Answer:

number is - 4

Step-by-step explanation:

let the number be n then 4 times the sum of the number and 2 is 4(n + 2)

4(n + 2) = 2n

4n + 8 = 2n ( subtract 2n from both sides )

2n + 8 = 0 ( subtract 8 from both sides )

2n = - 8 ( divide both sides by 2 )

n = - 4

the number is - 4

\(\textsf{Hi Brainy User, I'm Here to Help you!}\)

- - - - - - - - - - - - - - - - - - - - -

\(\textsf{Let the number be t.}\)

\(\textsf{The Sum means adding two numbers together.}\)

\(\textsf{Then,}\)

\(\textsf{4 times the sum of a number and 2 = 4 times t+2 = 4(t+2).}\)

\(\textsf{Remember to write the parentheses when you're multiplying something times}\\\textsf{a sum or a difference.}\)

\(\textsf{You know how to write "is equal to", don't you? It's =}\)

\(\therefore\\\textsf{4(t+2)=}\)

\(\textsf{Next, twice the number is written as 2t.}\)

\(\textsf{\textbf{Our expression looks like this:}}\)

\(\Large\boldsymbol{\rm{4(t+2)=2t}}\)

\(\textsf{Now let's find the number: }\)

\(\Large\begin{gathered} \sf{4(t+2)=2t}\\\sf{4t+8=2t}\\\sf{4t-2t=-8}\\\sf{2t=-8}\\\sf{t=-4} \end{gathered}\)

\(\ddot\smile\)

\(\Large\overbrace{\underbrace{\boldsymbol{\rm{Reflection - RoSe}}}}^\star_\star\)

Step-by-step explanation:

1.

2.

3.

4.

5.

6.  This seems a typo... 460 is likely $60

The correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.

A correlation coefficient measures the strength and direction of the relationship between two variables. In this case, the correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.

A positive correlation means that as one variable (in this case, happiness) increases, the other variable (GPA) also tends to increase. The magnitude of the correlation coefficient, which ranges from -1 to 1, represents the strength of the relationship. A value of 0.90 indicates a very strong positive linear correlation, suggesting that there is a consistent and significant relationship between happiness and GPA.

This means that as the level of happiness increases among high school students, their GPA tends to be higher as well. The correlation coefficient of 0.90 suggests a high degree of predictability in the relationship between these two variables.

It is important to note that correlation does not imply causation. While a strong positive correlation indicates a relationship between happiness and GPA, it does not necessarily mean that one variable causes the other. Other factors or variables may also influence the relationship between happiness and GPA.

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Answer:

21-- 9660 / 460 = 21

Answer:

9660/460 = 21

Step-by-step explanation:

Answer:

So dogs have 4 legs, ducks have 2

If three dogs have 12 legs, then one duck has 2, so total 14 legs, and 4 animals

4+4+4= 12+2=14

So 3 dogs and 1 duck :)

Answer: 13.8

Step-by-step explanation:

\(m\angle E=\sin \dfrac{\sqrt{10}}{2\sqrt5}=\sin \dfrac{\sqrt2}{2}=45^{\circ}\)

To calculate the gain on the sale of the office furniture, we need to determine the asset's book value and compare it to the sale price.

First, let's calculate the accumulated depreciation on the furniture. The furniture was purchased on January 1, 2014, and the straight-line depreciation method is used over 10 years with a salvage value of $80,200.

Depreciation per year = (Cost - Salvage Value) / Useful Life

Depreciation per year = ($746,800 - $80,200) / 10 years

Depreciation per year = $66,160

Next, we need to calculate the accumulated depreciation for the period from January 1, 2014, to May 1, 2021 (the date of the sale). This is approximately 7.33 years.

Accumulated Depreciation = Depreciation per year × Years

Accumulated Depreciation = $66,160 × 7.33 years

Accumulated Depreciation = $484,444.80

Now, we can calculate the book value of the furniture:

Book Value = Cost - Accumulated Depreciation

Book Value = $746,800 - $484,444.80

Book Value = $262,355.20

Finally, we can calculate the gain on the sale:

Gain on Sale = Sale Price - Book Value

Gain on Sale = $300,000 - $262,355.20

Gain on Sale = $37,644.80

Therefore, the gain that should be recognized on the sale of the office furniture is approximately $37,644.80.

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The gain that should be recognized on the sale of the office furniture is $84,080.

The gain is calculated by subtracting the equipment's book value from the sale price. This gain will be reported on the company's income statement. Here is how to calculate the gain:First, find the equipment's book value using the straight-line method of depreciation.

Straight-line depreciation is calculated by taking the difference between the equipment's original cost and its salvage value, and then dividing it by the number of years the equipment is used. The annual depreciation expense is then multiplied by the number of years the equipment is used to find the equipment's book value at the end of its useful life.

For this question, the book value of the equipment at the time of sale is:Cost of equipment: $746,800Salvage value: $80,200Depreciable cost: $746,800 - $80,200 = $666,600Annual depreciation: $666,600 ÷ 10 years = $66,660Book value at the end of 2020: $666,600 - ($66,660 x 7) = $156,420

Next, subtract the equipment's book value from the sale price to find the gain:Sale price: $300,000Book value: $156,420Gain: $143,580Finally, round the gain to the nearest dollar:$143,580 ≈ $143,580.00So the gain that should be recognized on the sale of the office furniture is $84,080.

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Answer: YES

Step-by-step explanation: It is

Answer:

(n+3)(n+5)

Step-by-step explanation:

the common factor between 8 and 15 is 3 and 5. If you add 3 and 5 together, you get 8. If you multiply 3 and 5, you get 15. So using the FOIL method, it should go back to n^2+8n+15

Hello! In order to solve the first problem, you need to know the properties of a rhombus.

Some basic rules that apply to the problem you should know are:

To be congruent, line segments must be equal in length. The same rule applies to angles, they must be of equal measure.

This being said,

1. HT is congruent to MA

2. ST is congruent to MS

3. AMH is congruent to ATH

4. If angle MHT is 80 degrees, than angle MAT is 80 degrees as they are vertical (opposite) angles. This means they are always congruent.

5. If line MH = 9, then due to congruency AT must equal 9.

A square is 360 degrees. Every line is equal, every angle is equal.

There are four right angles in a square. A right angle equals 90 degrees.

Since every line has the same length, they are all congruent.

1. True

There are no angles less or more than 90 degrees in a perfect square.

2. False

KD and IN are not perpendicular since they do not intercept. They are parallel.

3. False

Every angle in a perfect square is 90 degrees.

4. True

You can draw out lines to get a better perception of KN and ID. They are congruent due to properties of a square.

5. True

Answer:

347 and 865

Step-by-step explanation:

Let the two number be x and y

Therefore, from the given information:

x + y = 1212

x - y = 518

Rewrite both equations to make x the subject:

x = 1212 - y

x = 518 + y

Equate equations and solve for y:

1212 - y = 518 + y

     694 = 2y

         y = 347

Substitute found value of y into one of the equations and solve for x:

x = 518 + 347

x = 865

Therefore, the two numbers are 347 and 865

Answer:

b is not a function

Step-by-step explanation:

To be a function there must be a one to one correspondence.

Each x must only go to one y

b has an x that goes to two different y's

1 goes to 5 and 13.  That makes it a relation not a function

Answer:

The quadrilateral is a rhombus

Step-by-step explanation:

Prove Quadrilateral P(-2, 3) L( 2, 6) U (7,6) S(3, 3) Is a rhombus

A rhombus is a quadrilateral with all its sides equal to each other.

We prove this using the formula

√(x2 - x1)² + (y2 - y1)²

When given vertices (x1, y1) and (x2, y2)

For sides PL

P(-2, 3) L( 2, 6)

√(2 - (-2))² + (6 - 3)²

= √4² + 3²

= √16 + 9

= √25

= 5 units

For sides LU

L( 2, 6) U (7,6)

√(7 - 2)² + (6 - 6)²

= √5²

= √25

= 5 units

For side US

L( 2, 6) U (7,6)

= √(7 - 2)² + (6 - 6)²

= √5² + 0²

= √25

= 5 units

P(-2, 3), S(3, 3)

= √(3 - (-2))² + (3 - 3)²

= √5² + 0²

= √25

= 5 units

From the above calculation,

PL = LU = US = PS = 5 units

Hence, the above quadrilateral is a rhombus