1. Which of the given equations are linear? ​

Answer:

Let's denote:

- The number of orders Diane served as `D`

- The number of orders Sam served as `S`

- The number of orders Boris served as `B`

From the problem, we know:

1. `D + S + B = 54` (the total number of orders they served)

2. `D = S - 6` (Diane served 6 fewer orders than Sam)

3. `B = 2S` (Boris served 2 times as many orders as Sam)

We can substitute equations 2 and 3 into equation 1 to solve for the variables:

Substitute `D` and `B` in equation 1:

`(S - 6) + S + 2S = 54`

Combine like terms:

`4S - 6 = 54`

Add 6 to both sides:

`4S = 60`

Divide by 4:

`S = 15`

Now that we know `S = 15`, we can find `D` and `B` by substituting `S` into equations 2 and 3:

`D = S - 6 = 15 - 6 = 9`

`B = 2S = 2 * 15 = 30`

So, Diane served 9 orders, Sam served 15 orders, and Boris served 30 orders.

Answer:

x2 = (6)2 = 12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

This is the answer because:

1) Rewrite the equation inserting all the numbers needed

Equation: 6(2)

2) Next, just multiply 6 x 2 which is 12

6(2) = 12

Therefore, the answer is 12

Hope this helps!

The probability that a single randomly selected can contain 11.9 ounces or less is 0.179.

B. The probability that a randomly selected can contain 11.9 ounces or less can be calculated using the normal distribution. Specifically, we can use the Cumulative Distribution Function (CDF) to find the probability that a randomly selected can will contain 11.9 ounces or less.

We know that the mean of the cans is 12 ounces with a standard deviation of 0.4 ounces. We can use the Z-score to calculate the probability. The Z-score is equal to (11.9 - 12) / 0.4 = -0.25. We then use the Z-score to calculate the probability.

Specifically, we can use the CDF to calculate the probability that a randomly selected can will contain 11.9 ounces or less. The CDF for the normal distribution is given by

P(X ≤ x) = ½[1 + erf(x - μ/σ√2)].

When we plug in the Z-score of -0.25 into the equation, we get

P(X ≤ 11.9) = ½[1 + erf(-0.25)] = 0.179. Therefore, the probability that a single randomly selected can contain 11.9 ounces or less is 0.179.

For the quality control inspector, we can use the sample mean to calculate the probability that the cans will contain 11.9 ounces or less. Specifically, if the sample mean is 11.9 ounces or less, then the probability that the cans will contain 11.9 ounces or less is 1.

If the sample mean is greater than 11.9 ounces, then we can use the normal distribution to calculate the probability. Specifically, we can use the Z-score to calculate the probability. The Z-score is equal to (11.9 - sample mean) / 0.4. We then use the Z-score to calculate the probability using the CDF.

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The percentile of a velocity of 12.1 Mbps is given as follows:

84th percentile.

A measure is said to be in the xth percentile of the data-set if it the bottom separator of the bottom x% of measures of the data-set and the top (100 - x)% of measures, that is, it is greater than x% of the measures of the data-set.

For this problem, we have that out of 50 observations, 12.1 is the 42nd, hence the percentile rank is given as follows:

42/50 = 0.84 = 84th percentile.

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The number 100 would land in column 2

Given that we have the array of numbers

The length of each row in the array is 7

Dividing 100 by 7, we have

100/7 = 14 Remainder 2

This means that

Column = 2

In (a), we have

100/7 = 14 Remainder 2

This means that

Row = 14

Here, we have

The length of each row in the array is 6

Dividing 100 by 6, we have

100/6 = 16 Remainder 3

So, the location of 100 in rows of 6 numbers is row 16 and column 3

Let the length of each row in the array be n

Dividing 100 by n, we have

100/n = q Remainder r

This means that the location of 100 in rows of n numbers is row q and column r

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The temperature at 8:00 A.M. was 15°C.

Using the given information:
1. At 7:00 P.M., the temperature was 16°C.
2. This temperature was 9°C less than the temperature at 2:00 P.M.

We can use this information to find the temperature at 2:00 P.M.:
Temperature at 2:00 P.M. = 16°C (temperature at 7:00 P.M.) + 9°C
Temperature at 2:00 P.M. = 25°C

3. The temperature at 2:00 P.M. was 10°C higher than the temperature at 8:00 A.M.

Now, we can find the temperature at 8:00 A.M.:
Temperature at 8:00 A.M. = 25°C (temperature at 2:00 P.M.) - 10°C
Temperature at 8:00 A.M. = 15°C

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The net present value of machine is $5982

An investment is an asset or item acquired with the goal of generating income or appreciation.

As, 4th Year Cash Flow

= Salvage Value + Expected End Year Net Cash Flow

= $1,200 + $12,500

= $13,700

Year     Cash flow ($)             PVF at 8%             Present value ($)

0               37,500                         1.000                     -36,300

1                  12,500                      0.9259                 11573.75

2                 12,500                      0.8573                 10716.25

3                  12,500                      0.7938                 9922.5

4                  13,700                      0.7350                  10069.5

Net value                   5982

Hence, net present value of machine is $5982

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Answer:

The total years of sleep = 25.05 years

Step-by-step explanation:

Given total time in minutes = 3.95 x 10^7

Now convert the total time in hours = (3.95 x 10^7) / 60 = 658333.333 hours

Now covert the total hours into the day. Since a day has 24 hours so divide the total hours by 24 = 658333.333 / 24 = 27430.5555 days.

A person sleeps 8 hours a day, so total hours of sleep = 8 × a number of days.

A person sleeps 8 hours a day, so total hours of sleep = 8 × 27430.5555 days.

Thus, total sleeping hours = 219444.444

Now convert it into a number of years.

Convert total hours into the day and then years.

Number of days = 219444.444 / 24 = 9143.5185 days.

Now covert the total days in to years = 9143.5185 / 365 = 25.05 years

Because in 2012 the cost of driving a medium sedan was $0.67 per mile, it means that we can find the value for driving it for, let us say, N miles, is just the number N times the amount of money it would be if it was N = 1. From this, we write the following relation:

From the above-presented solution, we are able to conclude that:

Answer:

the answer is D. F(x) = 1/x(x-3)

Step-by-step explanation:

Answer:

median value = 73 years

Step-by-step explanation:

The median age of the uninsured senior citizens can be determined by determining the middle position of the row of data given

median = [( n + 1 ) / 2 ] ^th

n = 25

median = (25 + 1 ) / 2 = 26 / 2 = 13

This means that the median value is located in the 13th position

The number in the 13th position = 73 years

The probability that the third largest observation in the sample is less than 0.7 is  0.2401 =  24.01%.

The sample size n = 5,

Therefore the order statistics will be represented as X₁, X₂, X₃, X₄, and X₅.

Probability that X₃ is less than 0.7:

Since X₃ is the third largest observation =  (X₁ and X₂) < 0.7.

The probability that X₃ is less than 0.7 is (0.7)² = 0.49.

.

The probability that both X₁ and X₂ are less than or equal to 0.7 is (0.7)² = 0.49 because in a continuous uniform distribution, the probability of any single observation being less than 0.7 is 0.7 - 0 = 0.7.

We then get the product of both cases:

Probability = 0.49 * 0.49 = 0.2401

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Answer:

16 members

Step-by-step explanation:

100 - 84 = 16 members

Answer:

16 more mombers

Step-by-step explanation:

if you take 100 and you subtract 84 then you will get 16. it can go the other way to if you add 16 to 84 then you will get 100 its basic math

Using proportions, it is found that the cat has to go 9/16 further to reach the gate.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

An entire distance is represented by the proportion of 1 = 100%. The cat has gone 7/16 of the distance, hence the fraction corresponding to the remaining distance that he has to go is given by:

1 - 7/16 = 16/16 - 7/16 = 9/16.

Hence the cat has to go 9/16 further to reach the gate.

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Answer:

Dividing by a fraction is multiplying by the reciprocal

15.09/1/100=15.09*100=1509

267.4/1/10=267.4*10=2674

Answer:

15.09 ÷ 0.01 = 1509

267.4 ÷ 1/10 = 2674

hope these are the answers you are looking for

Step-by-step explanation:

−

4

cot

(

−

45

)

csc

(

60

)

cos

(

390

)

Answer: its -50 i think

Step-by-step explanation: this might not be right but i tried

Answer:

1

Step-by-step explanation:

10*4=40

so 1

At confidence, how large a sample should be taken to obtain a margin of error for the estimation of a population proportion? We now assume that past data are not available for developing a planning value for

Preliminary estimate for proportion (Not Known) is equal to 0.5

Margin of error = E = 0.03

Level of significance = 1-0.99 = 0.01

Z critical value is considered as (by using Z table) = 2.576

So, the sample size formula is taken as

n = [p(1 – p)]\(\left[Z/E]^{2}\)

=[0.5*(1-0.5)] [2.576/0.03]\(^{2}\)

=1,843.03                    

Hence, the sample size is approximately will be 1,844

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Mary is 36 and her son is 12

m=3s

m+12=2s+24

12= -s+24

s=12

Answer:

85 km

Step-by-step explanation:

\(68^{2} +51^{2} =c^{2}\)

4,624+2,601 = \(c^{2}\)

7,225 =\(c^{2}\)

Square both side and you get your answer 85km

The amount it would cost to put a new floor in the closet is $76.00

From the question, we are to calculate how much it would cost to put a new floor in the closet

From the given information,

A closet in the house is 2 yards by 1 yard.

To determine how much it would cost to put a new floor in the closet,

First,

We calculate the area of the closet

Area of the closet = 2 yard × 1 yard

Area of the closet = 2 square yards

Now,

From the given information,

The flooring costs $38.00 per square yard

Thus,

The amount it would cost to put a new floor in the closet is

2 × $38.00

= $76.00

Hence,

The amount it would cost is $76.00

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Since the exponential and natural logarithm are inverses each other, we can apply natural logarithm to both sides and get

or equivalently,

Threfore, the answer is the last option

Answer:

I'm assuming you are looking for the amount of possible outcomes

1. 10 possible outcomes

2. 15 possible outcomes

Step-by-step explanation:

When you first start solving these problems the easiest thing to do is create a diagram of sorts to list all of your possible outcomes. For the first question the coin will either land on heads or tails and the spinner will land on the numbers 1, 2, 3, 4, or 5. Therefore the possible outcomes are H1, H2, H3, H4, H5, T1, T2, T3, T4, or T5. Add them up to get 10 possible outcomes. For the second question you will either pick 1, 2, 3, 4, or 5 and the colors red, white, or blue. Listing out all the possibilities gives you 1R, 2R, 3R, 4R, 5R, 1W, 2W, 3W, 4W, 5W,1B, 2B, 3B, 4B, or 5B. Add them up to get 15 possible outcomes.

Alternatively

For the first question you flip a coin thus you have a 1/2 chance for landing on either, then you spin the wheel where you have a 1/5 chance to land on any of the numbers. Multiply these values together you have a 1/10 chance, therefore there are 10 possible outcomes.

For the second question you have a 1/5 chance for the number and a 1/3 chance for the color. Multiply to get 1/15, therefore you have 15 possible outcomes.

\(\\ \sf\longmapsto Force=Mass\times Acceleration \)

\(\\ \sf\longmapsto Force=1(12)\)

\(\\ \sf\longmapsto Force=12N\)

Let,

The value of mass be 1 kg.

Given,

Acceleration = 12 m/s²

Now,

As we know, Force = mass × acceleration ( F = m × a )

F = 1 × 12

F = 12

Therefore, the new net force is 12.

_______________________________

Additional Comment:

F means Force.

Answer:

Mike is incorrect.

Step-by-step explanation:

In this figure, corresponding angles are equal. However there is no guarantee that the corresponding sides are equal. For example, ΔDEF may be ΔABC dilated by a scale factor of 10, say. This means the angles will remain the same but the sides will be different

So Mike is incorrect.

Answer:

8 pigs

Step-by-step explanation:

Since every animal has only 1 head, a total of 26 heads suggests that there are 26 animals in total.

Suppose all animals are chickens.

Total no. of feet = 26 chickens × 2 feet

                           = 52 feet

Difference in total no. of feet = 68 feet - 52 feet

                                                = 16 feet

Difference in no. of feet each animal has

= 4 feet (a pig) - 2 feet (a chicken)

= 2 feet

∴ No. of pigs = 16 feet ÷ 2 feet

                      = 8 pigs

We need to transform a mixed fraction into a decimal. We need to follow these steps:

1 - Transform the mixed fraction into an improper fraction, by adding the integer part (7) to the fractional part (8/45).

2 - Divide the numerator by the denominator of the improper fraction.

This is done below:

Now we need to apply the second step:

The average cost of your item, based on a gross margin of 3%, is $108.20.

The average cost is the cost per unit.

It can be computed as the quotient of the total cost and the number of units.

The gross margin is the percentage difference between the cost of goods sold and the sales revenue.

The gross margin percentage is expressed as a quotient of the sales revenue multiplied by 100.

Selling price = $111.55

Gross margin = 3%

Selling price = 100%

Cost of goods sold = 97% (100 - 3)

Average cost (cost per unit) = Selling Price x Percentage Cost/Selling Price Percentage

$108.20 ($111.55 x 97/100)

Thus, the average cost of the product is $108.20.

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