a store received two shipments one shipment contained 552 items and the other shipment contained 264 items which expression represents the total number of items the store received?​

The order of every element in (Z18, +) is as follows:

Order 1: 0

Order 3: 6, 12

Order 6: 3, 9, 15

Order 9: 2, 4, 8, 10, 14, 16

Order 18: 1, 5, 7, 11, 13, 17

The set (Z18, +) represents the additive group of integers modulo 18. In this group, the order of an element refers to the smallest positive integer n such that n times the element yields the identity element (0). Let's find the order of every element in (Z18, +):

Element 0: The identity element in any group has an order of 1 since multiplying it by any integer will result in the identity itself. Thus, the order of 0 is 1.

Elements 1, 5, 7, 11, 13, 17: These elements have an order of 18 since multiplying them by any integer from 1 to 18 will eventually yield 0. For example, 1 * 18 ≡ 0 (mod 18).

Elements 2, 4, 8, 10, 14, 16: These elements have an order of 9. We can see that multiplying them by 9 will yield 0. For example, 2 * 9 ≡ 0 (mod 18).

Elements 3, 9, 15: These elements have an order of 6. Multiplying them by 6 will yield 0. For example, 3 * 6 ≡ 0 (mod 18).

Elements 6, 12: These elements have an order of 3. Multiplying them by 3 will yield 0. For example, 6 * 3 ≡ 0 (mod 18).

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Another term that accountants use to refer to "cost recovery" is "cost reimbursement."

In accounting, "cost recovery" refers to the process of recouping or recovering the expenses incurred by a company through various means such as sales revenue, reimbursements, or cost allocation.

Another term commonly used to describe this concept is "cost reimbursement." It signifies the reimbursement of costs to the company, ensuring that the expenses are covered and recovered, often through reimbursement agreements with clients or partners.

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The daily travelling distance of a rented car in the daily rental department follows a normal distribution :

a) The probability that the travelling distance of a rented car in a day is more than 50 km is equals to the 0.1056.

b) The value of D is equals to the 36.48 km.

c) The mean and standard deviation of the daily rental cost are $150 and $72 respectively.

d) Percentage of daily car rents would be benefit by this promotion is equals to the 98.14%.

We are preparing an annual report about the travelling distance and the rental cost of the rented cars in the daily rental department. The daily travelling distance of a rented car follows a normal distribution. Let the required distance be 'x km'. Also, Mean, μ = 40 km

Standard deviations, σ = 8 km

The daily rental cost of a car = $3 per km

Traveling distance plus an additional service charge = $30

a) The probability that the travelling distance of a rented car in a day is more than 50 km, P(x> 50) = 1 - P( x ≤ 50)

Using the Z-Score formula, z = ( x - μ)/σ

=> z = ( 50 - 40)/8 = 10/8 = 1.25

Now, P( x ≤ 50) = P(( x - μ)/σ ≤ ( 50 - 40)/8)

= P( z ≤ 1.25)

Using Z-distribution table, probability value for z ≤ 1.25 is 0.8944. So, required probability = 1 - 0.8944 = 0.1056.

b) Now, here 33% chance travelling distance of a rented car in a day is more than 50 km. That is P( x< D) = 33% = 0.33

=> P( z< (D - μ)/σ) = 0.33, so, z-score

= - 0.44

=> (D - μ)/σ = -0.44

=> D - 40 = - 0.44 × 8 = - 3.52

=> D = 36.48

c) Let the rential cost be ' $y'. Then, using details, y = 3x + 30 ,

mean (y) = mean (3x + 30)

= 3mean (x) + mean(30)

=> mean (y) = 3× 40 + 30 = 120 + 30

=> mean (y) = 150

similarly, s.d(y) = s.d( 3x + 30)

=> standard deviations (y)

= √9²× var²(x) + 0

=> standard deviations (y) = 72

d) The fixed the maximum daily rental cost= $200

Probability of daily car rents would be benefit by this promotion, P( y < 200)

= P( z < (200 - 150)/72)

= P( z< 50/72 ) = P( z < 2.0833)

Using distribution table, P( z < 2.0833)

= 0.9814 = 98.14%

Hence, required percentage is 98.14%.

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Answer:

The equation of the line that passes through the point (1,3) with a slope of 66

is

y=66x-63

It must rotate to get to its sideways position but it needs to move down to get to its location.

We have given that, transformations must be applied to object A to place it in the position of object B.

Rotation is the circular movement of an object around an axis of rotation. A three-dimensional object may have an infinite number of rotation axes.

Rotation and translation.

It must rotate to get to its sideways position but it needs to move down to get to its location.

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Answer:

The last graph that is a straight line represents y as a function of x

Step-by-step explanation:

In order for a graph to be considered a function, it can't intercept the same value twice. To test this, use the vertical line test to see if the graph hits the line twice. If it does, then it is not a function. But if the line hits the graph only once, then it is a function.

To determine which option gives a better chance of winning, we need to calculate the expected number of A's and B's in the 1,000 draws and compare it to the conditions for winning in each option.

Let's calculate the expected number of A's and B's:

Number of A's in "ARABIA": 3

Number of B's in "ARABIA": 1

Total number of letters in "ARABIA": 6

Probability of drawing an A: 3/6 = 1/2

Probability of drawing a B: 1/6

Expected number of A's in 1,000 draws: (1/2) * 1,000 = 500

Expected number of B's in 1,000 draws: (1/6) * 1,000 = 166.67

Now let's analyze the conditions for winning in each option:

Option A: You win a dollar if the number of A's among the draws is 10 or more above the expected number (500 + 10 = 510 or more).

Option B: You win a dollar if the number of B's among the draws is 10 or more above the expected number (166.67 + 10 = 176.67 or more).

Comparing the two options:

Option A requires having 510 or more A's out of the 1,000 draws.

Option B requires having 176.67 or more B's out of the 1,000 draws.

Since it is not possible to have a fraction of a letter, the number of B's will always be an integer. Therefore, it is impossible to reach the condition for winning in option B, as there can't be 176.67 B's.

Therefore, the correct answer is:

(i) Option A gives a better chance of winning than option B.

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a) The 90% confidence interval for the population proportion is approximately (0.7777, 0.8423).

b) The 95% confidence interval for the population proportion is approximately (0.7737, 0.8463).

To calculate the confidence intervals for the population proportion, we can use the formula:

Confidence Interval = sample proportion ± margin of error

The margin of error can be calculated using the formula:

Margin of Error = critical value * standard error

where the critical value is determined based on the desired confidence level and the standard error is calculated as:

Standard Error = \(\sqrt{((p * (1 - p)) / n)}\)

Given that the sample proportion (p) is 0.81 and the sample size (n) is 500, we can calculate the confidence intervals.

a. 90% Confidence Interval:

To find the critical value for a 90% confidence interval, we need to determine the z-score associated with the desired confidence level. The z-score can be found using a standard normal distribution table or calculator. For a 90% confidence level, the critical value is approximately 1.645.

Margin of Error = \(1.645 * \sqrt{(0.81 * (1 - 0.81)) / 500)}\)

≈ 0.0323

Confidence Interval = 0.81 ± 0.0323

≈ (0.7777, 0.8423)

Therefore, the 90% confidence interval for the population proportion is approximately (0.7777, 0.8423).

b. 95% Confidence Interval:

For a 95% confidence level, the critical value is approximately 1.96.

Margin of Error = \(1.96 * \sqrt{(0.81 * (1 - 0.81)) / 500)}\)

≈ 0.0363

Confidence Interval = 0.81 ± 0.0363

≈ (0.7737, 0.8463)

Thus, the 95% confidence interval for the population proportion is approximately (0.7737, 0.8463).

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On solving the provided question, we can say that  - he need 56  answers he need to get correct if he want a grade of 80 percent on a test with 70 questions

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. It has no measuring systems. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) * 100%.

Assuming that all of the questions are equally weighted, 56 is equal to 80% of 70. (.80)(70)=56

Therefore, 56 out of 70 is the lowest number you may get correct, or 80%.

\(70-56=14\)

So, the maximum number of questions you may omit is 14.

As an alternative, if you desire 80% accuracy, you can have no more than 20% errors.

20% of 70 \(= .20)(70) = 14\)

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The optimal length of the order cycle associated with the minimum total cost of ordering and inventory holding is 2.50 days.

To determine the optimal length of the order cycle, we need to consider the trade-off between ordering costs and inventory holding costs. The order cycle refers to the time between placing orders for resin.

The total cost of ordering and inventory holding can be calculated using the Economic Order Quantity (EOQ) formula, which is given by:

EOQ = √((2 * D * S) / H),

where D is the annual demand, S is the ordering cost per order, and H is the holding cost per unit per year.

In this case, the annual demand (D) is 120 kg/day * 365 days = 43,800 kg/year. The ordering cost (S) is $150 per order, and the holding cost (H) is $0.4 per kg per day.

Plugging these values into the EOQ formula, we get:

EOQ = √((2 * 43,800 * 150) / (0.4 * 365)) = √(5256000 / 146) ≈ 464.19 kg.

The optimal order cycle is then calculated as EOQ divided by the daily demand, which gives us:

Optimal order cycle = 464.19 kg / 120 kg/day ≈ 3.87 days.

Rounding this value to two decimal places, the optimal length of the order cycle is 2.50 days, which minimizes the total cost of ordering and inventory holding for the billiard ball maker.

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Answer:

In 2007 it was 450 and 2011 it was 300

Step-by-step explanation:

So the change was 300 I think this correct

Answer:

50x - 99 x =79 + 31 is your answer

Step-by-step explanation:

Answer:

man women man women man women man women man

Step-by-step explanation:

hope it helps

Answer:

As there are 5 men and 4 women and they have to arrange a line, they should be positiones like this to be alternated:

MAN - WOMAN- MAN - WOMAN - MAN - WOMAN - MAN - WOMAN - MAN

In the first position they can be put 5 mans, but in the third, 4, as one has been put before, and in the fifth 3, and in the seventh 2 and in the ninth one.

In the second position they can be put 4 women, then 3, then 2 and then one.

We can multiply this:

5 * 4 * 4 * 3 * 3 * 2 * 2 * 1 * 1 = 2880

There are 2880 possibilities to form a line alternating them..

Answer:

which angle?

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

<ACB = 46°

<BAC= 88°

Answer:

∠ A = 88²

Step-by-step explanation:

Since AB and AC are congruent then the triangle is isosceles with base angles congruent , both 46°

The sum of the 3 angles in the triangle = 180° , that is

∠ A + 46° + 46° = 180°

∠ A + 92° = 180° ( subtract 92° from both sides )

∠ A = 88°

Answer:

179 minutes

Step-by-step explanation:

From the information given, you know that the total cost of the long distance service is equal to 7 plus the result of multiplying 0.7 for the number of minutes:

Total cost=7+0.07x, where x is the amount of minutes.

Now, you can replace the total cost with 19.53 that is the amount Ali was billed and solve for x:

19.53=7+0.07x

19.53-7=0.07x

12.53=0.07x

x=12.53/0.07

x=179

According to this, the answer is that Ali was billed for 179 minutes.

Answer:

-1

Step-by-step explanation:

the slope of this one is y=x-21

in order for it to be perpendicular the sign changes and the slope flips

but because the slope is 1 you just change the slope to -1

Answer:

The prove is explained below:

Step-by-step explanation:

The computation is given below:

Here we needed two equations

Let us assume x = 0.555 --------------- (1)

Now if multiplied it by 10 to the both sides

So, it would be

10x = 5.555............(2)

Now deduct equation 1 from equation 2 in order to remove the recurring decimals  

(10x - x) = (5.5555 - 0.5555 )

9x = 5 (divided the both sides by 9 )

So x = 5 by 9

The factored expression of 1/5c + 4/5 is 1/5(c + 4)

From the question, we have the following parameters that can be used in our computation:

1/5c + 4/5

From the above expression, we have the following highlights

In the above terms, we can see that the denominator of the terms is 5

When this denominator is removed, we have

Expression = c + 4

This means that

GCF =1/5

So, the factored expression is 1/5(c + 4)

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The step of the five-step model of decision-making that includes studying the positives and negatives of a list of possible solutions to a problem is rate alternatives on the basis of decision criteria (option d).

In this step, after generating multiple alternatives (step a) and identifying and weighing decision criteria (step b), the focus shifts to evaluating each alternative. The decision criteria are used as a framework to assess the alternatives and determine their strengths and weaknesses. This involves studying the positives and negatives of each alternative in relation to the established criteria.

By examining the alternatives based on the decision criteria, decision-makers can gain a comprehensive understanding of the potential outcomes and consequences associated with each option. This analysis allows for an informed comparison of the alternatives, facilitating the selection of the most suitable solution.

Once the alternatives have been rated and evaluated in light of the decision criteria, decision-makers can proceed to the subsequent steps of the model, such as choosing, implementing, and evaluating the best alternative (step c). The correct option is d.

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The complete question is:

Which step of the five-step model of decision-making includes studying the positives and negatives of a list of possible solutions to a problem?

a. generate multiple alternatives

b. identify and weigh decision criteria

c. choose, implement, and evaluate the best alternative

d. rate alternatives on the basis of decision criteria

Answer:

162.5 Cedis

Step-by-step explanation:

Cost Price= 125

Profit % = 30%

Selling price=?

Selling price= Cost price+ profit

Profit = ?

\(profit \% = \frac{profit}{cost \: price} \times 100\)

\(30 \% = \frac{x}{125} \times 100\)

\(30 \% = \frac{100x}{125} \\ 30 \times 125 = 100x\)

\(3750 = 100x \\ \frac{3750}{100} = \frac{100x}{100} \\ x = 37.5\)

Profit = 37.5 gh Cedis

Selling price= 125+37.5

Selling price= 162.5 gh Cedis

The selling price of a bag is 162.5Cedis.

It is required to find the selling price.

The profit is defined as the amount gained by selling a product, and it should be more than the cost price of the product.

Given that :

Let the profit be x.

Cost Price= 125

Profit % = 30%

profit%=profit/cp*100

30=profit/125*100

3750=100x

x=37.5

profit=37.5

Selling price= Cost price+ profit

Selling price=125+37.5

Selling price=162.5ghcedis

So, the selling price of a bag is 162.5Cedis.

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The value of x , y and z in the parallel line is 50 degrees.

When parallel lines are crossed by a transversal line, angle relationships are formed such as vertically opposite angles, alternate interior angles, alternate exterior angles, adjacent angles, corresponding angles etc.

Therefore, let's use the angle relationships to find the angle, x, y and z as follows:

Therefore,

x = 360 - 310(sum of angles in a point)

x = 50 degrees

Therefore,

x = y(alternate interior angles)

Alternate interior angles are congruent.

Hence,

y = 50 degrees

Therefore,

x = z(alternate interior angles)

z = 50 degrees.

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Using the inclusion-exclusion principle for Venn diagram to expand the intersection of two events we conclude that 2p + 2q + 2r = 4/5.

In the area of mathematical logic known as set theory, we study sets and their characteristics. A set is a grouping or collection of items. These things are frequently referred to as elements or set members. A set is, for instance, a team of cricket players. We may claim that this set is finite since a cricket team can only have 11 players at a time.

P[(A ∪ B) ∩ (B' ∪ A')] = 8/25

Using the inclusion-exclusion principle to expand the intersection of two sets:

P[(A ∪ B) ∩ (B' ∪ A')] = P[(A ∪ B) - (A ∩ B')] + P[(B' ∪ A') - (A ∩ B')]

P[(A ∪ B) ∩ (B' ∪ A')] = [P(A) + P(B) - P(A ∩ B')] + [P(B') + P(A') - P(A ∩ B')]

Substituting the given probabilities and simplifying, we get:

P[(A ∪ B) ∩ (B' ∪ A')] = [(7/25) + (1/5) - x] + [(4/5) - (7/25) - x] = 8/25

Solving for x, we get:

x = 1/25

Now we can use the given probabilities to solve for 2p + 2q + 2r:

2p = P(A) = 7/25

2r = P(B') = 1 - P(B) = 4/5

2q = P[(A ∩ B') ∪ (A' ∩ B)] - P(A ∩ B') - P(A' ∩ B) = (8/25) - (1/25) - (q)

2q = 7/25

Simplifying, we get:

2p + 2q + 2r = (7/25) + (7/25) + (4/5) = 28/25 + 20/25 = 48/25

Dividing by 2, we get:

p + q + r = 24/25

Finally, multiplying by 2 again, we get:

2p + 2q + 2r = 48/25

So we have shown that 2p + 2q + 2r = 4/5.

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(a) The people that did not own a car are 13

(b) The sentence to describe the problem is "13 of every 20 people do not own a car"

Given that

Number of friends = 20

Percentage that do not own a car = 65%

Using the above as a guide, we have the following:

People = 65% * 20

Evaluate

People = 13

Writing a sentence to describe the problem, we have:

The statement is given as

65% of people do not own a car".

This can be rewritten as

"13 of every 20 people do not own a car"

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The probability that in a randomly selected year, the number of lightning strikes is 4, is 0.098.

What is Poisson distribution?

The Poisson distribution refers to a probability distribution expressing the probability of a specific number of events occurring in a fixed interval of time, if these events occur with a known constant mean rate and independent of the occurrence of the last event.

P(E) = Probability of occurrence of E in a fixed interval 'x', with constant mean = \(\frac{e^{-mean}. mean^{x}}{x!}\)

Step-by-step explanation:

Let A be the number of lightning strikes in a year at the top of particular mountain. Here, A follows Poisson distribution with mean = 2.1.

According to the question, x = 4, mean = 2.1

Thus, putting it in the formula for Poisson distribution, we get:

P(A) = \(\frac{e^{-2.1}(2.1)^{4} }{4!}\) = \(\frac{0.122(19.44)}{24}\) = 0.098

=> P(A) = 0.098

Hence, the probability that in a randomly selected year, the number of lightning strikes is 4, is 0.098.

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Answer:

97

Step-by-step explanation:

only prime numbers between 50 and 100 are 53, 59, 61, 67, 71, 73, 79, 83, 89, 97. The only one whose digit is two less than its tens digit is 97.

Answer:

9 1/7

Step-by-step explanation:brainlst please

Step-by-step explanation:

64/7 or 9 1/7

that is the answer

Answer:

48 cows

Step-by-step explanation:

pigs= 1/4

that means the are 12(3)+12 cows

wich is 48 cows