Can some one please help me with this

Answer:

If she uses the Laplace criterion, the number of new examiners she will decide to hire is:

c. three

Step-by-step explanation:

a) Data:

Number of           Compliance

examiners     Low   Normal   High

One               50        50         50

Two              100        60         20

Three           150        70         -10

b) Outcome Calculations:

Number of                     Compliance

examiners            Low                      Normal                High

One              16.65 (50 *.333)     16.65 (50 *.333)     16.65 (50 *.333) =  50

Two              33.3 (100 *.333)      19.98 (60 *.333)      6.66 (20 *.333)  = 60

Three           49.95 (150 *.333)    23.31 (70 *.333)     -3.33 (-10 *.333) =  70

c) Decision:

Three has the highest payoff condition and is selected.

d) The Laplace criterion assumes that each compliance state is equally likely to happen.  Therefore, it assigns the same weight to each state of compliance.  Since there are three states of compliance, we shall assign each state a weight of 0.333.  The number of examiners that have the highest payoff condition is three, and therefore, the number "three" is selected.

Answer:

s = 2 1/3 + 1/2

t = 2/3 + 3/2

We have to find the sum of both s and t.

2 1/3 + 1/2 = 2 2/6 + 3/6 = 2 5/6

2/3 + 3/2 = 4/6 +  9/6 = 13/6 = 2 1/6

If we look at the number lines, we can see that c matches with both points.

Answer:

4x + 7x - 2 + 5x - 10 = 180

16x - 12 = 180

16x = 192

x = 12

m<A= 4x = 4(12) = 48

m<B = 7x - 2 = 7(12) - 2 = 84 - 2 = 82

m<C = 5x - 10 = 5(12) - 10 = 60 - 10 = 50

Step-by-step explanation:

.

The time taken to amount to be $100 is approx. 17 years.

Option D is correct.

It is given that, principal amount is $75 and rate of interest is 2%.

Let us consider that, time taken to become amount $100 is t years.

          Interest = 100 - 75 = $25

As we know that,

        Interest = (P*r*t)/100

Where P is principal, r is rate and t is time.

            \(25=\frac{75*2*t}{100} \\\\t=\frac{2500}{150}=16.67\)

Therefore, time taken to amount to be $100 is approx. 17 years.

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Answer:

DEH & DEJ

Step-by-step explanation:

It a acute and angle so it equal complementary

The dimensions of the rectangular box are given as follows:

All the dimensions.

The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:

Volume = length x width x height.

The box's volume is obtained as follows:

54 x 1³ = 128 x (3/4)³ = 54 cubic inches. (the volume of a cube is the side length cubed)

Hence all the options can be the dimensions of the box, as all the options have a multiplication resulting in 54.

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1.1. Accumulated depreciation:

The accumulated depreciation for the machine bought on 1 July 2013 would be R150,000 as of 31 March 2016.

1.2. Machine realization:

The machine bought in 2013 was sold for R120,000 on 30 June 2015, resulting in a profit/loss on the sale of R10,000.

1.1. Accumulated Depreciation:

To calculate the accumulated depreciation, we need to determine the annual depreciation expense for each machine and then accumulate it over the years.

Machine bought on 1 July 2013:

Cost: R250,000

Depreciation rate: 20% per annum on cost

Depreciation expense for the year ended 31 March 2014: 20% of R250,000 = R50,000

Depreciation expense for the year ended 31 March 2015: 20% of R250,000 = R50,000

Depreciation expense for the year ended 31 March 2016: 20% of R250,000 = R50,000

Accumulated depreciation for the machine bought on 1 July 2013:

As of 31 March 2014: R50,000

As of 31 March 2015: R100,000

As of 31 March 2016: R150,000

1.2. Machine Realisation:

To record the sale of the machine bought in 2013, we need to adjust the machine's value and the accumulated depreciation.

Machine's original cost: R250,000

Accumulated depreciation as of 30 June 2015: R100,000

Net book value as of 30 June 2015:  

R250,000 - R100,000 = R150,000.

On 30 June 2015, the machine was sold for R120,000.

Realisation amount: R120,000

To record the sale:

Debit Cash: R120,000

Debit Accumulated Depreciation: R100,000

Credit Machine: R250,000

Credit Machine Realisation: R120,000

Credit Profit/Loss on Sale of Machine: R10,000 (difference between net book value and realisation amount).

These entries will reflect the appropriate balances in the ledger accounts and properly close off the accounts for the years ended 31 March 2016.

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The impulse that Penelope's car would experience is 100, 000 Kg. m/s

The formula for calculating the impulse is;

Impulse = m Δ v

Where m = mass = 2000kg

Δv = change in velocity = 100 - 50 = 50m/s

Substitute values into formula

Impulse = 2000 × 50 = 100, 000 Kg. m/s

Therefore, the impulse would be 100, 000 Kg. m/s

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Answer:

adult tickets = 118

student tickets = 354

Step-by-step explanation:

a = number of adult tickets

s = number of student tickets

a + s = 472

3a = s

substitute for s

a + 3a = 472

reduce

4a = 472

divide by 4

4a/4 = 472/4

a = 118

s = 354

Answer:

B. 0.220

Step-by-step explanation:

The table is presented properly below:

\(\left|\begin{array}{c|cccc|c}$toppings&$Freshman&$Sophomore&$Junior&$Senior&$Total\\---&---&---&---&---&---\\$Cheese&11&15&24&28&78\\$Meat&23&28&15&11&77\\$Veggie&15&11&23&28&77\\---&---&---&---&---&---\\$Total&&&&&232\end{array}\right|\)

Number of junior students who prefers veggies =23

Number of senior students who prefers veggies =28

Total =23+28=51

Therefore, the probability that a randomly selected student who is a junior or senior prefers veggie

=51/232

=0.220 (to the nearest thousandth)

The correct option is B.

The null hypothesis is it takes a customer less than or equal to 25 minutes to eat lunch.

The alternate hypothesis is it takes a customer more than 25 minutes to eat lunch.

What is null and alternate hypothesis?

The null hypothesis in inferential statistics is that two possibilities are equal. The underlying assumption is that the observed difference is just the result of chance. The alternative hypothesis is one of the suggested hypotheses in statistical hypothesis testing.

We are given a statement,

The manager of a restaurant believes that it takes a customer less than or equal to 25 minutes to eat lunch.

According to null hypothesis, There is no difference or change

Hence the null hypothesis is, it takes a customer less than or equal to 25 minutes to eat lunch.

Where as in alternate hypothesis, There should be a difference of change

Hence the alternate hypothesis is it takes a customer more than 25 minutes to eat lunch.

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Answer:

Probability is a type of ratio where we compare how many times an outcome can occur compared to all possible outcomes.

Probability=ThenumberofwantedoutcomesThenumberofpossibleoutcomes

Example

What is the probability to get a 6 when you roll a die?

A die has 6 sides, 1 side contain the number 6 that give us 1 wanted outcome in 6 possible outcomes.

figure57

Independent events: Two events are independent when the outcome of the first event does not influence the outcome of the second event.

When we determine the probability of two independent events we multiply the probability of the first event by the probability of the second event.

P(XandY)=P(X)⋅P(Y)

To find the probability of an independent event we are using this rule:

Example

If one has three dice what is the probability of getting three 4s?

The probability of getting a 4 on one die is 1/6

The probability of getting 3 4s is:

P(4and4and4)=16⋅16⋅16=1216

When the outcome affects the second outcome, which is what we called dependent events.

Dependent events: Two events are dependent when the outcome of the first event influences the outcome of the second event. The probability of two dependent events is the product of the probability of X and the probability of Y AFTER X occurs.

P(XandY)=P(X)⋅P(Yafterx)

Example

What is the probability for you to choose two red cards in a deck of cards?

A deck of cards has 26 black and 26 red cards. The probability of choosing a red card randomly is:

P(red)=2652=12

The probability of choosing a second red card from the deck is now:

P(red)=2551

The probability:

P(2red)=12⋅2551=25102

Two events are mutually exclusive when two events cannot happen at the same time. The probability that one of the mutually exclusive events occur is the sum of their individual probabilities.

P(XorY)=P(X)+P(Y)

An example of two mutually exclusive events is a wheel of fortune. Let's say you win a bar of chocolate if you end up in a red or a pink field.

figure37

What is the probability that the wheel stops at red or pink?

P(red or pink)=P(red)+P(pink)

P(red)=28=14

P(pink)=18

P(redorpink)=18+28=38

Inclusive events are events that can happen at the same time. To find the probability of an inclusive event we first add the probabilities of the individual events and then subtract the probability of the two events happening at the same time.

P(XorY)=P(X)+P(Y)−P(XandY)

Example

What is the probability of drawing a black card or a ten in a deck of cards?

There are 4 tens in a deck of cards P(10) = 4/52

There are 26 black cards P(black) = 26/52

There are 2 black tens P(black and 10) = 2/52

P(black or ten)=452+2652−252=3052−252=2852=713

Step-by-step explanation:

Hope this helps!!!

To solve this problem, we need to use Charles's law, which states that, at constant pressure, the volume of a sample of gas is directly proportional to its temperature.

The law can be expressed mathematically as:

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{ \frac{V_1}{T_1}=\frac{V_2}{T_2} } \end{gathered}$} }\)

Where:

Now we obtain the data to continue solving:

Now, we will convert the temperatures to Kelvin:

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{T_1=220 \ ^{\circ}C+273=493 \ Kelvin} \end{gathered}$} }\)

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{T_2=40 \ ^{\circ}C+273= 313 \ Kelvin} \end{gathered}$} }\)

Now we solve for V₂:

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V_2=\frac{V_1T_2}{T_1 } } \end{gathered}$} }\)

Where:

Now, we substitute the values in the formula:

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V_2=\frac{(0.5 \ L\times313\not{k} )}{493\not{k} } } \end{gathered}$} }\)

\(\boxed{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V_2\approx0.32 \ Liters } \end{gathered}$} }}\)

Answer:

E. None of the above

Hope this helps :D

Answer:

Approximately 3.81 seconds

Step-by-step explanation:

d = 3t + 5t²

d = 84

84 = 3t + 5t²

3t + 5t² - 84 = 0

5t² + 3t - 84 = 0

5(t² + 3/5t - 84/5) = 0

5(((t + 3/10)² - 9/100) - 84/5) = 0

5((t + 3/10)² - 9/100 - 84/5) = 0

5((t + 3/10)² - 9/100 - 1680/100) = 0

5((t + 3/10)² - 1689/100) = 0

5(t + 3/10)² - 1689/20 = 0

5(t + 3/10)² = 1689/20

(t + 3/10)² = 1689/100

t + 3/10 = ±√(1689)/10

t = -3/10 ± √(1689)/10

t = -3/10 ± ≈41.1/10

t = -3/10 ± ≈4.11

t ≈ -0.3 ± 4.11

t [can only be positive] ≈ 4.11 - 0.3

t ≈ 3.81

Answer:

Part A)  Option c) 15.27 mm

Part B)   Option b) 12.05 mm

Step-by-step explanation:

The mean is also sometimes called the average

To find the mean, you add up every number in the data set, and you divide that sum by the total number of data points within the set.

A) What is the mean rainfall for the highland storms?

The sum of the data of Highlands storms

= 2*2 + 3*4 + 2*6 + 3*8 + 4*10 + 3*12 + 4*14 + 5*16 + 5*18 + 4*20 + 2*22 + 24 + 2*26 + 2*28 + 30 + 32 = 672

the total number of data = 44

Mean = 672/44 = 15.27 mm

So, the answer is option c) 15.27 mm

B) What is the mean rainfall for the lowland storms?

The sum of the data of Lowland storms

= 3*2 + 5*4 + 3*6 + 3*8 + 5*10 + 7*12 + 6*14 + 4*16 +2*18 + 20 + 2*22 + 24 + 2*28 = 530

the total number of data = 44

Mean = 530/44 = 12.05 mm

So, the answer is option b) 12.05 mm

Answer:

30 and 26

Step-by-step explanation:

Answer:

9^1 has a power of 1.  it evaluates to 9

Step-by-step explanation:

Answer:

3.4 is bigger

Step-by-step explanation:

3.04 is smaller than 3.4

The distance between the given 2 points is √5 which is 2.2360 units.

So, the distance formula:  d = √((x₂ – x₁)² + (y₂ – y₁)²)

Substitute values in the distance formula as follows:

Therefore, the distance between the given 2 points is √5 which is 2.2360 units.

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If a shooter hits 23 out of 50 targets, that equates to a 46 percent or 46 percent success rate.

To express the fraction 23/50 as a percentage, we can use the formula:

Percent = (fraction * 100)

In this case, the fraction is 23/50 and we want to find that percentage.

Percentage = (23/50 * 100)

To simplify the calculation, we can divide both the numerator and denominator of the fraction by their greatest common divisor (GCD), which gives us the simplest form of the fraction. In this case, the MCD of 23 and 50 is 1, so the fraction is already in its simplest form.

Percentage = (23/50 * 100)

Percentage = (0.46 * 100)

Multiplying 0.46 by 100 gives:

Percent = 46

Therefore, the 23/50 percent entry is 46%.

That means  the shooter hit 46% of his targets at 125 yards last year. In summary, if a shooter hits 23 out of 50 targets, that equates to a  46% hit percentage or a 46% hit percentage.

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\(56 = 28 \times 2 \\ 56 = (14 \times 2) \times 2 \\ 56 = (7 \times 2) \times 2 \times 2\)

The completed sequence is: 3/k, 3/k, 3/k, 9/2k.To complete the sequence of numbers with a constant difference between adjacent numbers, we can calculate the common difference by subtracting the first term from the second term.

Let's denote the missing terms as A and B.

The given sequence is: 3/k, A, B, 9/2k.

The common difference can be found by subtracting 3/k from A or B. Therefore:

A - 3/k = B - A = 9/2k - B.

To simplify, we can equate the two expressions for the                     common difference:

A - 3/k = 9/2k - B.

Next, we can solve for A and B using this equation.

Adding 3/k to both sides gives:

A = 3/k + 9/2k - B.

Now, we can substitute the value of A into the equation:

3/k + 9/2k - B - 3/k = 9/2k - B.

Simplifying further, we have:

9/2k - 3/k = 9/2k - B.

Cancelling out the common terms, we find:

-3/k = -B.

Multiplying both sides by -1, we get:

3/k = B.

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Answer:

-9

Step-by-step explanation:

Step 1:

-2x + 7 = 25

Step 2:

-2x = 18

Step 3:

-18 = 2x

Answer:

-9

Hope This Helps :)

Answer: -9

Step-by-step explanation: hope this helped ❤️

Answer:3

Step-by-step explanation:5674