rewrite the following multiplication problem as repeated addition. Then,find the sum. 3(4)​

Answers

Answer 1

9514 1404 393

Answer:

3 + 3 + 3 + 3 = 124 + 4 + 4 = 12

Step-by-step explanation:

3(4) could be 3 added 4 times:

  3 + 3 + 3 + 3 = 12

or it could be 4 added 3 times:

  4 + 4 + 4 = 12

The sum is 12.


Related Questions

Please help me! Angles!

Answers

Answer:

a

Step-by-step explanation:

the diagram shows that ∠ MLK = 108°

∠ MLU + ∠ KLU = ∠ MLK , that is

x - 4 + 88 = 108

x + 84 = 108 ( subtract 84 from both sides )

x = 24

Is 2/1 the same thing as 2?

Answers

Answer:

Yes

Step-by-step explanation:

Cause the 1 is there for no reason

4a square - 9b square - 2a - 3b​

Answers

The simplified form of the expression is 4a² - 9b² - 2a - 3b

Given the expression :

4a square - 9b square - 2a - 3b

This can be written mathematically as :

4a² - 9b² - 2a - 3b

Looking through the expression, there are no like terms to add or perform any mathematical operation.

Hence, the simplified form of the expression is as given.

Therefore, the simplified form of the expression is 4a² - 9b² - 2a - 3b

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The bakers at Healthy Bakery can make 350 bagels in 10 hours. How many bagels can they bake in 23 hours? What was that rate per hour?

Answers

Answer:

In 23 hours they make 80.5 bagels. The unit rate is 3.5 bagels per hour

Step-by-step explanation:

Divide 10 hours by 10 hours to get 1 hour.

Divide 350 bagels by 10 to get the unit rate (which is 3.5)

Multiply the unit rate by 23, and you get 80.5 hours.

A caterer charges a setup fee of $50, plus $20 per person. How much will the caterer charge if 35 people attend the party, and the customer has a coupon for $100 off the total?

Answers

Answer:

$650

Step-by-step explanation:

35 people x $20 per person = $700

$700 + $50 set up fee = $750 dollars total

$750 - $100 coupon = $650

How much will the caterer charge if 35 people attend the party, and the customer has a coupon for $100 off the total is $650.

Amount the caterer will charge

Using this formula

Amount=[Number of Attendee × Cost per person)+Set up fee]- Coupon

Let plug in the formula

Amount=[(35 x $20)+$50]-$100

Amount=($700+$50)-$100

Amount=$750-$100

Amount=$650

Therefore how much will the caterer charge if 35 people attend the party, and the customer has a coupon for $100 off the total is $650.

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I NEED HELP ASAP PLEASE!!!!!!

Answers

Use an app on your phone just make sure you pick a gods one it will give you the answer I am not that good at math tho

Nana has a water purifier that filters \dfrac13 3 1 ​ start fraction, 1, divided by, 3, end fraction of the contaminants each hour. She used it to purify water that had \dfrac12 2 1 ​ start fraction, 1, divided by, 2, end fraction kilogram of contaminants. Write a function that gives the remaining amount of contaminants in kilograms, C(t)C(t)C, left parenthesis, t, right parenthesis, ttt hours after Nana started purifying the water.

Answers

Given:

Nana has a water purifier that filters [tex]\dfrac{1}{3}[/tex] of the contaminants each hour.

Water has contaminants = [tex]\dfrac{1}{2}[/tex]

To find:

The function that gives the remaining amount of contaminants in kilograms, C(t), t hours after Nana started purifying the water.

Solution:

Let C(t) be the remaining amount of contaminants in kilograms after t hours.

Initial amount of contaminants = [tex]\dfrac{1}{2}[/tex]

Decreasing rate is [tex]\dfrac{1}{3}[/tex] .

Using the exponential decay model:

[tex]C(t)=C_0(1-r)^t[/tex]

where, [tex]C_0[/tex] is initial amount of contaminants, r is the decreasing rate and t is time in hours.

Substituting the values, we get

[tex]C(t)=\dfrac{1}{2}(1-\dfrac{1}{3})^t[/tex]

[tex]C(t)=\dfrac{1}{2}(\dfrac{2}{3})^t[/tex]

Therefore, the required function is [tex]C(t)=\dfrac{1}{2}(\dfrac{2}{3})^t[/tex].

Answer:

[tex]\frac{1}{2} (\frac{2}{3} )^t[/tex]

Step-by-step explanation:

It's correct on Khan.

The annual spending by tourists in a resort city is $100 million. Approximately 75% of that revenue is again spent in the resort city, and of that amount approximately 75% is again spent in the same city, and so on. Write the geometric series that gives the total amount of spending generated by the $100 million and find the sum of the series.

Answers

To find the geometric series that gives the total amount of spending generated by the $100 million, we need to determine the common ratio and the first term.

Let's break down the problem into steps:

Step 1: Determine the common ratio (r):
Approximately 75% of the revenue is spent in the resort city, which means 25% (100% - 75%) is not spent in the city. This implies that 75% of the revenue is spent again in the same city.

Therefore, the common ratio (r) is 0.75.

Step 2: Determine the first term (a):
The annual spending by tourists in the resort city is the first term of the geometric series, which is $100 million.

Therefore, the first term (a) is $100 million.

Now we can write the geometric series as:

S = a + ar + ar^2 + ar^3 + ...

where:
S is the sum of the series,
a is the first term, and
r is the common ratio.

In this case, we have:
S = $100 million + ($100 million)(0.75) + ($100 million)(0.75)^2 + ($100 million)(0.75)^3 + ...

To find the sum of the series, we can use the formula for the sum of an infinite geometric series:

S = a / (1 - r)

Substituting the values, we get:

S = $100 million / (1 - 0.75)

Simplifying:

S = $100 million / 0.25

S = $400 million

Therefore, the total amount of spending generated by the $100 million is $400 million.

Read the case study on page 326~327 of your textbook. Using the information and data provided in the text answer the following questions:

1. What changes or patterns do you see in the data? What remedies might be suggested for any problems?

2. Has the CEO carried out his or her responsibility for educating the board? Why or why not?

3. Depending on the answer to question 2, what strategies would you recommend at this point?

4. What quality data should be reported and utilized by this board of directors?

5. Given this administration’s style and leadership approach, do you think the minutes of the board meeting reflect actual board meeting discussions?

6. Is the board actually using the information provided to make decisions that affect quality and performance improvement?

Answers

1.  If any problems are identified, suggest potential remedies such as process improvements, employee training, quality control measures, or changes in strategy.

2.  Consider whether the CEO has effectively communicated the company's goals, performance metrics, challenges, and strategies to the board.

3. If the CEO has fulfilled their responsibility, focus on refining the communication process and ensuring that the board receives timely and relevant information.

4.  Emphasize the importance of accurate, timely, and actionable data that enables the board to make informed decisions.

5. Consider whether the minutes provide a clear and objective summary of the discussions and whether they align with the organization's leadership style and approach.

6. Evaluate whether the board's decisions and initiatives align with the organization's goals and objectives for quality and performance improvement.

To identify changes or patterns in the data, carefully analyze the provided data in the case study. Look for trends, variations, or any significant shifts in the data over time. Consider factors such as growth rates, financial performance, customer satisfaction ratings, employee turnover, or any other relevant metrics. If any problems are identified, suggest potential remedies such as process improvements, employee training, quality control measures, or changes in strategy.

Assess whether the CEO has fulfilled their responsibility for educating the board by evaluating the level of knowledge and understanding demonstrated by the board members. Determine if the board members have been provided with sufficient information and resources to make informed decisions. Consider whether the CEO has effectively communicated the company's goals, performance metrics, challenges, and strategies to the board.

Based on the assessment in question 2, recommend appropriate strategies. If the CEO has not adequately educated the board, suggest initiatives such as regular training sessions, workshops, or providing comprehensive reports to enhance their understanding of the business. If the CEO has fulfilled their responsibility, focus on refining the communication process and ensuring that the board receives timely and relevant information.

Determine the key quality-related data that should be reported and utilized by the board of directors. This may include data on customer satisfaction, product quality metrics, employee engagement and satisfaction, financial performance indicators, market share, or any other relevant measures that align with the organization's goals and objectives. Emphasize the importance of accurate, timely, and actionable data that enables the board to make informed decisions.

Evaluate the minutes of the board meetings to assess if they accurately reflect the discussions held during the meetings. Look for comprehensive records of agenda items, decisions made, action items assigned, and any important points or concerns raised by board members. Consider whether the minutes provide a clear and objective summary of the discussions and whether they align with the organization's leadership style and approach.

Assess whether the board is utilizing the information provided to make decisions that impact quality and performance improvement. Look for evidence of the board actively discussing and considering the quality-related data, asking relevant questions, and taking actions based on the information. Evaluate whether the board's decisions and initiatives align with the organization's goals and objectives for quality and performance improvement.

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What is 10z+ -z+-5z simplified

Answers

Answer:10z+-z+-5z

=4z

Step-by-step explanation:

Answer: 4z

Step-by-step explanation: Here we will simplify 4/4 to its simplest form and convert it to a mixed number if necessary. In the fraction 4/4, 4 is the numerator and 4 is the denominator.

pls answer and show WORK pls do it right

Answers

Answer:

1/4

Step-by-step explanation:

[tex] \frac{1}{2} - ( \frac{1}{8} + \frac{1}{8} )[/tex]

Add the value of the numbers in parentheses.

[tex] \frac{1}{2} - \frac{2}{8} [/tex]

Simplify 2/8 by dividing the numerator and denominator by 2.

[tex] \frac{1}{2} - \frac{1}{4} [/tex]

Multiply the numerator and denominator of 1/2 by 2 to have the same denominator as 1/4 in order to be able to subtract.

[tex] \frac{2}{4} - \frac{1}{4} [/tex]

[tex] \frac{1}{4} [/tex]

How much saliva does it take to fill up two hundred pools?
WILL MARK BRAINLIEAST

Answers

Answer:

Not only that, some of them have even had hair, eyes, and hands! The average mouth produces over 25,000 quarts of saliva, which helps protect your mouth from germs, over a lifetime – enough to fill two swimming pools!

Step-by-step explanation:

Answer:

two hundred pools worth of saliva

Step-by-step explanation:

I need the size of each pool, so this is the answer you are asking for based off of what u said

Draw similar triangles on the graph to determine the slope
Please help me 8th grade

Answers

Answer:

I believe this is talking about the vertical, and horizontal lines that are drawn to connect the diagonal line(the line by itself); for the rise, and run; or change in y over change in x. This forms right(90 degree) triangles with the change in y being the vertical part, the change in x being the horizontal part, and the diagonal part being the slope to connect the start, and finishing point.

From observing the graph, you can tell that the x axis counts by 1/2 every unit, and that the y axis counts by 1 every unit.

Since the y goes down 1 every unit and to the right 1 every unit with an x axis that counts by 1/2, and a y axis that counts by 1:

slope = change in y / change in x = -1 × 1 / 1 × 1/2 = -1 / 1/2 = -2 [this is the slope]

down is negative, up is positive.

Davon and his family went out to dinner and spent $135 on their meal. How much money should they tip their server if they want to leave a 20% tip? Remember, this is money. Do not forget to use a dollar sign and proper decimals.

Answers

Answer:

27$

Step-by-step explanation:

Answer:

27.00

Step-by-step explanation:

percentage of tip times amount of money

20%×$135=$27.00

4. Let A - (3) = 1 1 0 0 Determine the pseudoinverse A+ and verify that A and A+ satisfy the four Penrose conditions: 1. AA+A = A. 2. A+A A+ = A+. 3. (A A+)¹ = AA+. 4. (A+A)¹ = A+ A.

Answers

The given matrix A = [[3, 1], [0, 0]] has a pseudoinverse A⁺. To verify that A and A⁺ satisfy the four Penrose conditions, we need to check the equations: 1. AA⁺A = A, 2. A⁺AA⁺ = A⁺, 3. (AA⁺)⁻¹ = AA⁺, and 4. (A⁺A)⁻¹ = A⁺A.

To find the pseudoinverse A⁺ of matrix A, we can use the formula: A⁺ = (AᵀA)⁻¹Aᵀ, where Aᵀ is the transpose of A.

First, we calculate AᵀA: AᵀA = [[3, 1], [1, 1]].

Then, we calculate (AᵀA)⁻¹: (AᵀA)⁻¹ = [[1/2, -1/2], [-1/2, 3/2]].

Finally, we calculate A⁺: A⁺ = (AᵀA)⁻¹Aᵀ = [[1/2, -1/2], [-1/2, 3/2]][[3, 1], [0, 0]] = [[1/2, 1/6], [-1/2, 1/6]].

Now, let's verify the Penrose conditions:

AA⁺A = [[3, 1], [0, 0]][[1/2, 1/6], [-1/2, 1/6]][[3, 1], [0, 0]] = [[3, 1], [0, 0]] = A.

A⁺AA⁺ = [[1/2, 1/6], [-1/2, 1/6]][[3, 1], [0, 0]][[1/2, 1/6], [-1/2, 1/6]] = [[1/2, 1/6], [-1/2, 1/6]] = A⁺.

(AA⁺)⁻¹ = [[3, 1], [0, 0]][[1/2, 1/6], [-1/2, 1/6]]⁻¹ = [[3, 1], [0, 0]][[2, 2], [-2, 6]] = [[1, 0], [0, 0]] = AA⁺.

(A⁺A)⁻¹ = [[1/2, 1/6], [-1/2, 1/6]][[3, 1], [0, 0]][[1/2, 1/6], [-1/2, 1/6]]⁻¹ = [[1/2, 1/6], [-1/2, 1/6]][[2, 2], [-2, 6]] = [[1, 0], [0, 0]] = A⁺A.

Therefore, A and A⁺ satisfies all four Penrose conditions.

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Order the numbers from least to greatest.

−1.4,−85, 0.6,−0.9, 14

Answers

-85, -1.4, -0.9, 0.6, 14

Answer:

I would say -85, -1.4, -0.9, 0.6, 14 hope this helps

What is 35 percent of 63?
O 1.8
O 3.15
O 18.9
O 22.05

Answers

Answer:

22.05

Step-by-step explanation:

i used a calculator

35% of 63 is 22.05.

What is percentage?

A percentage is a number or ratio expressed as a fraction of 100.

Given that 35% of 63,

35/100*63 =  22.05

Hence, 35% of 63 is 22.05.

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C-Spec, Inc., is attempting to determine whether an existing machine is capable of milling an engine part that has a key specification of 2 ± 0.004 inches. After a trial run on this machine, C-Spec has determined that the machine has a sample mean of 2.001 inches with a standard deviation of 0.002 inch.
Calculate the Cpk for this machine. (Round your answer to 3 decimal places)

Answers

The Cpk (Process Capability Index) for this machine is 0.5 (rounded to 3 decimal places).

To calculate the Cpk (Process Capability Index), we need to consider the specification limits and the process variation.

The Cpk is given by the formula:

Cpk = min[(USL - μ) / (3σ), (μ - LSL) / (3σ)], Where:

USL = Upper Specification Limit

LSL = Lower Specification Limit

μ = Process mean

σ = Process standard deviation

In this case, the Upper Specification Limit (USL) is 2 + 0.004 = 2.004 inches, and the Lower Specification Limit (LSL) is 2 - 0.004 = 1.996 inches.

Given that the process mean (μ) is 2.001 inches and the process standard deviation (σ) is 0.002 inch, we can substitute these values into the formula:

Cpk = min[(2.004 - 2.001) / (3 * 0.002), (2.001 - 1.996) / (3 * 0.002)]

Cpk = min[0.003 / 0.006, 0.005 / 0.006]

Cpk = min[0.5, 0.833]

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the graph of y = x^2 -3 is translated in 4 units to the left of the graph to give the graph A

Answers

Answer:

please elaborate

Step-by-step explanation:

this answer

a) (4) Harry's indifference curve for popcorn (X1) and butter (X2) is U=min(X1, 3X2). Sketch two indifference curves. Make sure your axes and intercepts are labeled. b) (3) True or False and explain:

Answers

To sketch two indifference curves for Harry's indifference curve equation U = min([tex]X_1[/tex] , 3[tex]X_2[/tex] ), we need to plot the relationship between popcorn ([tex]X_1[/tex] ) and butter ([tex]X_2[/tex] ) while considering different levels of utility.

First, let's consider two specific utility levels and find the corresponding values of [tex]X_1[/tex] and [tex]X_2[/tex] .

Indifference Curve 1: U = min([tex]X_1[/tex] , 3[tex]X_2[/tex] ) = 2

To find the values of [tex]X_1[/tex]  and [tex]X_2[/tex]  that yield a utility level of 2, we can set [tex]X_1[/tex]  = 2 and 3[tex]X_2[/tex]  = 2, which gives [tex]X_2[/tex]  = 2/3.

So, one point on Indifference Curve 1 is ([tex]X_1[/tex]  = 2, [tex]X_2[/tex]  = 2/3).

Indifference Curve 2: U = min([tex]X_1[/tex] , 3[tex]X_2[/tex] ) = 4

Similarly, to find the values of [tex]X_1[/tex]  and [tex]X_2[/tex]  that yield a utility level of 4, we set [tex]X_1[/tex]  = 4 and 3[tex]X_2[/tex]  = 4, which gives [tex]X_2[/tex]  = 4/3.

So, one point on Indifference Curve 2 is ([tex]X_1[/tex]  = 4, [tex]X_2[/tex]  = 4/3).

Now, we can plot these two points on a graph with [tex]X_1[/tex] 1 on the x-axis and [tex]X_2[/tex]  on the y-axis. Here's a sketch of the indifference curves.

The first indifference curve (U = 2) is a straight line with a slope of 1, passing through the point (2, 2/3).

The second indifference curve (U = 4) is also a straight line with a slope of 1, passing through the point (4, 4/3).

Please note that these are just two points on the indifference curves, and the curves themselves continue beyond these points. The indifference curves represent different levels of utility, with higher curves indicating higher utility levels.

It's important to remember that these curves are based on the given utility function U = min([tex]X_1[/tex] , 3[tex]X_2[/tex] ), which implies that Harry's preference is to have at least as much popcorn as 3 times the amount of butter.

Correct Question :

Harry's indifference curve for popcorn ([tex]X_1[/tex] ) and butter ([tex]X_2[/tex] ) is U=min([tex]X_1[/tex] , 3[tex]X_2[/tex] ). Sketch two indifference curves. Make sure your axes and intercepts are labeled.

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I’m so confused.. can anyone help?

Answers

Answer:

(1) y = -50, if x = 7

(2) y = -1, if x = 14

(3) y = 66, if x = 6

(4) y = 13, if x = -10

(5) y = -57, if x = -13

Step-by-step explanation:

For these problems, the questioner simply wishes you to plug in the value of x for each of the given equations.  Once you evaluate the equations at the given values of x, you will have solved for y.  Let's work these out step by step.

(1) y = -9x + 13, if x = 7

(1) y = -9(7) + 13

(1) y = -63 + 13

(1) y = -50

(2) y = (1/2)x - 8 , if x = 14

(2) y = (1/2)(14) - 8

(2) y = 7 - 8

(2) y = -1

(3) y = 15x - 24, if x = 6

(3) y = 15(6) - 24

(3) y = 90 - 24

(3) y = 66

(4) y = -0.8x + 5, if x = -10

(4) y = -0.8(-10) + 5

(4) y = 8 + 5

(4) y = 13

(5) y = 3x - 18, if x = -13

(5) y = 3(-13) - 18

(5) y = -39 - 18

(5) y = -57

Hope this helps.

Cheers.

Lindsey has incurred $ 100 of interest expense on a $ 450 interest payment due on January 15. Journalize the subsequent journal entry that Lindsey will record on January 15.

Answers

To journalize the subsequent entry for Lindsey on January 15, you would record the following journal entry:

Date: January 15

Account Debit Credit

Interest Expense $100

Interest Payable $100

The entry debits the Interest Expense account to recognize the expense incurred by Lindsey. The credit is made to the Interest Payable account to record the liability for the interest payment due. This entry reflects the recognition of the interest expense on the financial statements and the corresponding liability to be paid in the future.

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Lindsey has incurred $ 100 of interest expense on a $ 450 interest payment due on January 15. Journalize the subsequent journal entry that Lindsey will record on January 15

How do the slopes
of the lines that are parallel to each other compare? How do the slopes of the lines that are perpendicular to each other compare?

Answers

Step-by-step explanation:

Slopes of the parallel lines are equal.

The products of the Slopes of the perpendicular lines are equal to - 1

Answer: Slopes of the parallel lines are equal.

The endpoints of AB¯¯¯¯¯¯¯¯ are A(−9,−1) and B(−3,7). Find the coordinates of the midpoint M.

Answers

Answer:

(-6, 3)

Step-by-step explanation:

A(-9, -1)

B(-3, 7)

Calculate midpoint:

(-9 + -3) / 2 = -6

(-1 + 7) / 2 = 3

M(-6, 3)

If y=32, then 86y+25−78y =

Answers

Answer:

281

Step-by-step explanation:

plug y value into expression

86(32) + 25 - 78(32)

pemdas says we must multiply first

2752 + 25 - 2496

2777 - 2496

281

Answer:

86(32)+25-78(32)= 281  thats the answer THANK YOU

Step-by-step explanation:

George printer can print 24 pages in 15 minutes how much can print in one minute

Answers

Answer:

1.6 pages

Step-by-step explanation:

Answer:

1.6

Step-by-step explanation:

Sorry, I can't really explain this, but I hope this helps!

Description
Find the midpoint (4,3) and (-6, 5)

Answers

Answer:

The answer is

( - 1 , - 1 )

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )\\[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(4,3) and (-6, 5)

The midpoint is

[tex]M = ( \frac{ 4 - 6}{2} \: , \: \frac{3 - 5}{2} ) \\ = ( - \frac{2}{2} \: , \: - \frac{2}{2} )[/tex]

We have the final answer as

( - 1 , - 1 )

Hope this helps you

Answer:  (-1, 4)

Step-by-step explanation:

Midpoint is the the point that is equal distance from the given endpoints.

(x₁, y₁) = (4, 3)         (x₂, y₂) = (-6, 5)

[tex]M_x=\dfrac{x_1+x_2}{2}\qquad \qquad \qquad M_y=\dfrac{y_1+y_2}{2}\\\\\\M_x=\dfrac{4+(-6)}{2}\qquad \qquad \quad M_y=\dfrac{3+5}{2}\\\\\\M_x=\dfrac{-2}{2}\qquad \qquad \qquad \qquad M_y=\dfrac{8}{2}\\\\\\x=-1\qquad \qquad \qquad \qquad \qquad y=4[/tex]      -->     (-1, 4)

3n^3-12n^2-30n factor out gcf

Answers

Step-by-step explanation:

To factor out the Greatest Common Factor (GCF) from the expression 3n^3 - 12n^2 - 30n, we can find the common factors of the coefficients and variables.

First, let's look at the coefficients: 3, -12, and -30. The GCF of these numbers is 3.

Next, let's consider the variable "n". It appears in each term with a power of 1, so the GCF of the variable is n.

Now, we can factor out the GCF:

GCF: 3n

Dividing each term by the GCF, we get:

(3n) * (n^2 - 4n - 10)

Therefore, the factored form of the expression 3n^3 - 12n^2 - 30n, after factoring out the GCF, is 3n(n^2 - 4n - 10).

Answer: 3n

Step-by-step explanation:

3n^3-12n^2-30n

First factor: 3

n^3-4n^2-10n

Second factor: n

n^2-4n-10

The points in the table below are on the graph of the function g(x). Which rule and table A value corresponding points on the graph of the function g-1(x)

Answers

Answer: C

Step-by-step the table that's flipped the y and x values of the given table

if a single die is rolled, what is the probability of a 2 or odd?

Answers

Solution:

The dice have 6 faces, and it is possible to get a 2 only once, so the possibility of getting a 2 is 1/6.There are three possible outcomes of getting an odd number: 1, 3, or 5.

Therefore, the probability of getting an odd number is 3/6, which reduces to 1/2.

The possibility of getting a 2 or an odd number is the probability of getting a 2 plus the probability of getting an odd number minus the probability of getting a 2 and an odd number (since 2 is even).

P(2 or odd) = P(2) + P(odd) - P(2 and odd)

Since 2 is not an odd number, getting a 2 and an odd number simultaneously is not feasible.

Therefore, the equation is:P(2 or odd) = 1/6 + 1/2 - 0= 4/6= 2/3Answer: Therefore, the probability of getting a 2 or odd is 2/3.

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How did the Zimmerman telegram influence US entry into World War I geometry help please, simple math problem. will mark you brainliest You have a fair, well-shuffled deck of 52 cards. It consists of four suits. The suits are clubs, diamonds, hearts and spades. There are 13 cards in each suit consisting of 2, 3, 4, 5, 6, 7, 8, 9, 10, J (jack), Q (queen), K (king) and A (ace) of that suit. An experiment consists of drawing a card followed by the roll of a dice. a. Let A be the event that a H (heart) card is picked first, followed by landing a 5 on a roll of a dice. Find P(A). (Round to three decimal places) Ayala Architects incorporated as licensed architects on April 1, 2017. During the first month of the operation of the business, these events and transactions occurred:Apr. 1 Stockholders invested $18,270 cash in exchange for common stock of the corporation.1 Hired a secretary-receptionist at a salary of $381 per week, payable monthly.2 Paid office rent for the month $914.3 Purchased architectural supplies on account from Burmingham Company $1,320.10 Completed blueprints on a carport and billed client $1,929 for services.11 Received $711 cash advance from M. Jason to design a new home.20 Received $2,842 cash for services completed and delivered to S. Melvin.30 Paid secretary-receptionist for the month $1,524.30 Paid $305 to Burmingham Company for accounts payable due.Journalize the transactions.Post to the ledger T-accounts. (Post entries in the order of journal entries presented in the question.)Prepare a trial balance on April 30, 2017. Explain the statement, "If we didn'thave government, we'd invent it" andsupport your explanation withevidence. in a plant,root cells are different from leaf cells because they have no ? When water boils and becomes steam at around 100 degrees Celsius, this is an example of aA. Physical changeB. Chemical change C. Chemical reactionD. Covalent bond? One angle of an isosceles triangle measures 80. Which other angles could be in that isosceles triangle? IF SHAPE I IS SIMILAR TO SHALE II AND SHAPE II IS SIMILAR TO SHAPE III WHAT DOES THAT MEAN FOR SHAPE 1 AND SHAPE III If the marked price of an article is Rs.x, discount amount isRs. y and the VAT amount is Rs. z, Calculate the sellingprice of the article including VAT. AB and CD are parallel lines.Work out the size of x. how does odilia respond during the attempts to escape On January 2, 2015, Martinez Corporation issued $1,700,000 of 10% bonds at 97 due December 31, 2024. Interest on the bonds is payable annually each December 31. The discount on the bonds is also being amortized on a straight-line basis over the 10 years. (Straight-line is not materially different in effect from the preferable "interest method.")The bonds are callable at 102 (i.e., at 102% of face amount), and on January 2, 2020, Martinez called $1,020,000 face amount of the bonds and redeemed them.Required:Compute the amount of loss, if any, to be recognized by Martinez as a result of retiring the $1,020,000 of bonds in 2020. what is circulatory role and funcation Please help this is in pre algebra What is the equation of the line that has a slope of -7 and passes through the point (4, 8)? Which particles can be found in the nucleus of an atom?-protons and neutrons-protons and electrons-alpha particles-neutrons and electrons Simplify:4(2a+3)+5(a+3) what is one way economy of the south changed as a result of reconstruction? Answers: There were fewer banks to help freedmen recover. More railroads were built in order to transport goods. Many farms shut down and turned into factories Immigrants took most of the farming jobs Verbal and nonverbal communication often work together to conveya. messagesb. cultureC. languaged. multiple channels