ob Elimination In the past year, 10% of businesses have eliminated jobs. If 3 businesses are selected at random, find the probability that at least 1 has eliminated jobs during the last year. Round your answer to at least three decimal places. Do not round your intermediate calculations. Find P(at least 1 has eliminated jobs during the last year).

Answer:

Commutative property of Addition

Step-by-step explanation:

Commutative property of addition:

Changing the order of addends does not change the sum.

Answer:

The property is the Commutative property.

Step-by-step explanation:

The Commutative property is almost like a mirror, it will look like the equation is being flipped.  This is how you know it is the Commutative property.

Answer

f^-1(x) =√[(3-x)÷3]

Step-by-step explanation:

y=-3x^2+3

interchange 'y' with 'x'

x=-3y^2+3

make y the subject

3y^2=3-x

divide by '3' both sides

y^2=(3-x)÷3

apply square root both sides

√(y^2)=√[(3-x)÷3]

y=√[(3-x)÷3]

f^-1(x) =√[(3-x)÷3]

the inverse of the given function is

f^-1(x)=√[(3-x)÷3]

Answer:

The slope of the line is 7/5.

Step-by-step explanation:

To find the slope, first, find two points. On this line, two points are 0,0 and 7,5. Using the slope formula, we get 7-0/5-0. This gives 7/5, and that's the slope.

Hope this helps!

Please give brainliest

Answer:7n+28

Step-by-step explanation:

Answer : 4.005 x 10 ^6

Step-by-step explanation:

10 the power of 6 is 1,000,000

If u multiply this by 4.005 you get number 2.

hope this helps : )

It will take a minimum of 10 clock hours (not driving hours) for the truck driver to travel 450 miles from Charlotte, NC to Pittsburgh, PA.

The current Hours of Service (HOS) rules for truck drivers stipulate that a truck driver cannot drive for more than 11 hours after 10 consecutive hours off duty.

Additionally, the driver is not allowed to drive beyond 14 hours after coming on duty.

The driver's shift includes both driving and non-driving time.

Therefore, it is necessary to consider the total amount of time spent on the job.

The truck driver will have to stop for rest breaks, refueling, or other reasons during the 450-mile journey to Pittsburgh, Pennsylvania. The driver is required to take a 30-minute break after eight hours of driving.

Therefore, the minimum number of clock hours (not driving hours) it will take the truck driver to travel the 450-mile distance from Charlotte, NC to Pittsburgh, PA is calculated as follows:

Time for the trip = (Distance ÷ Average Speed) + Breaks

Time for the trip = (450 ÷ 50) + (30 ÷ 60) × 2

Time for the trip = 9 + 1

Time for the trip = 10 clock hours

Therefore, it will take a minimum of 10 clock hours (not driving hours) for the truck driver to travel 450 miles from Charlotte, NC to Pittsburgh, PA.

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On average, a customer spends approximately 1.16 minutes waiting time on hold before they can start speaking to a representative.

To find the average waiting time for a customer on hold before they can start speaking to a representative, we need to consider both the arrival rate of calls and the average service time of the staff members.

Given:

9 staff members taking calls.

On average, one call arrives every 5 minutes (standard deviation of 5 minutes).

Each staff member spends on average 18 minutes with each customer (with a standard deviation of 27 minutes).

To calculate the average waiting time, we need to use queuing theory, specifically the M/M/c queuing model. In this model:

"M" stands for Markovian or memoryless arrival and service times.

"c" represents the number of servers.

In our case, we have an M/M/9 queuing model since we have 9 staff members.

The average waiting time for a customer on hold is given by the following formula:

Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))

Where:

c = number of servers (staff members) = 9

μ = average service rate (1 / average service time)

λ = average arrival rate (1 / average interarrival time)

ρ = λ / (c * μ)

First, let's calculate the average arrival rate (λ):

λ = 1 / (average interarrival time) = 1 / 5 minutes = 0.2 calls per minute

Next, calculate the average service rate (μ):

μ = 1 / (average service time) = 1 / 18 minutes = 0.0556 customers per minute

Now, calculate ρ:

ρ = λ / (c * μ) = 0.2 / (9 * 0.0556) ≈ 0.407

Finally, calculate the waiting time:

Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))

= (1 / (9 * (0.0556 - 0.2))) * (0.407 / (1 - 0.407))

≈ 1.16 minutes

Therefore, on average, a customer spends approximately 1.16 minutes waiting on hold before they can start speaking to a representative.

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If the standard deviation of a set of data is 6, then the value of variance is 36

The formula for determining variance is variance = √Standard deviation

Variance of a set of data is equal to square of the standard deviation.

If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula

variance = √Standard deviation

Take square root on both sides

Standard deviation² = 6²

Standard deviation= 36

Hence,  standard deviation of a set of data is 6, then the value of variance is 36

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Answer:

total points on the 4 tests- 94x4= 376

376- 85= 291

291/3= D. 97

Answer:

D. 97

Step-by-step explanation:

x = sum of 4 test grades Jared received

\(\frac{x}{4} = 94\)

x = 376

If he drops lowest test grade of 85, then subtract 85 from Jared's sum of all test grades:

x - 85 --> 376 - 85

= 291

Now that one of his test grades are not considered, this means there are only 3 test grades to consider.

291 must be divided by 3 to get the average:

\(\frac{291}{3}\) = 97

The answer is D) 97

To completely recharge a 1.5-volt cell, each electron in the cell must be

supplied with a minimum energy of 2.403 × 10^-19 joules.

To completely recharge a 1.5-volt cell, each electron in the cell must be

supplied with an energy greater than or equal to the potential difference of

the cell, which is 1.5 volts.

The minimum energy required to supply to each electron can be

calculated

using the formula:

E = qV

where E is the energy in joules (J), q is the charge of an electron (1.602 ×

10^-19 coulombs), and V is the potential difference in volts.

Substituting the given values, we get:

\(E = (1.602 × 10^-19 C) × (1.5 V)E = 2.403 × 10^-19 J\)

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We will usePythagorean theorem

a^2+b^2=C^2

Lets substitute and solve

2^2+b^2=3^2

4+b^2=9 lets subtract 4

b^2=5

b=√5 or 2.2360679775

The expected difference is 0.17

A supermarket is a self-service store with various food, drink, and household goods options divided into categories. While this type of store is bigger and has a wider variety of products than older grocery stores, it is smaller and offers a smaller selection of goods than a hypermarket or big-box market. Fresh meat, produce, dairy, deli foods, baked goods, etc. may usually be found in the store.

Additionally, shelf space is set aside for canned and packaged goods as well as a variety of non-food items like pet supplies, cleaning supplies, cookware, and household cleansers.

The table is: 0 1 2 3

x1 0 0.08 0.06 0.04 0.00

1 0.05 0.18 0.05 0.03

2 0.05 0.04 0.10 0.06

3 0.00 0.03 0.04 0.07

4 0.00 0.01 0.05 0.06

Expected difference =

+(0.08*(0-0)) +(0.06*(0-1)) +(0.04*(0-2)) +(0.00*(0-3)) +(0.05*(1-0)) +(0.18*(1-1)) +(0.05*(1-2)) +(0.03*(1-3)) +(0.05*(2-0)) +(0.04*(2-1)) +(0.10*(2-2)) +(0.06*(2-3)) +(0.00*(3-0)) +(0.03*(3-1)) +(0.04*(3-2)) +(0.07*(3-3)) +(0.00*(4-0)) +(0.01*(4-1)) +(0.05*(4-2)) +(0.06*(4-3))

= 0.17

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Answer: 38 divided by 8 which would equal 4.75 or 4 3/4 feet each day.

Step-by-step explanation: You divide the amount of total feet by the amount of days it took.

The day of the week with the most crime is [insert the day with the highest crime rate]. The day of the week does have an effect on the crime rate, as certain days may exhibit higher crime rates compared to others.

The analysis of crime data reveals patterns and trends that can help identify the day of the week when crime incidents are most prevalent. Law enforcement agencies and researchers often analyze crime statistics to understand the dynamics of criminal activity. By examining crime rates across different days of the week, they can identify any correlations or trends.

Factors such as social behaviors, economic conditions, and routine activities can influence crime rates on specific days. For example, weekends might see higher crime rates due to increased social gatherings and leisure activities, while weekdays may experience different patterns driven by work schedules and routines.

Additionally, factors like alcohol consumption, events, or cultural practices can also contribute to variations in crime rates on specific days.

Understanding the relationship between the day of the week and crime rate can inform law enforcement strategies, resource allocation, and community safety initiatives. By focusing resources and efforts during periods of heightened crime rates, authorities can work towards crime prevention and reduction.

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Answer:

0.19

Step-by-step explanation:

12u->2.28

1u-> 2.28 /12

=0.19

The area of a rhombus can be found by multiplying the length of one of its sides by the height of a perpendicular line from the center to a side.

The height of the rhombus is the distance from the center of the rhombus to one of its sides, perpendicular to that side.

The formula for the area of a rhombus can be written as A = s*h, where A is the area, s is the length of one of the sides of the rhombus, and h is the height of the rhombus.

It's important to note that this method of finding the area of a rhombus without diagonals can only be used when the rhombus is a regular polygon, a polygon with all sides and angles congruent. When the rhombus is not a regular polygon, then you can find the area by using the diagonals.

Additionally, it's important to mention that a rhombus can be defined as a parallelogram with all sides congruent or a square with its angles not 90 degrees.

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Answer:

\(a_n=20+6(n-1)\)

Step-by-step explanation:

Arithmetic Sequence

The arithmetic sequences are identified because each term is obtained by adding or subtracting a fixed number to the previous term. For example, the sequence 5, 12, 19, 26, 33... is arithmetic because each term is calculated by adding 7 to the previous term. The constant number is called the common difference r. The first term is identified as a1.

We are given a recursive formula for a sequence as follows:

\(20, a_{n-1}+6\)

This means the sequence is

20, 26, 32, 38, ...

The common difference is r=6 and the first term is a1=20. The equation to calculate the nth term of an arithmetic sequence is:

\(a_n=a_1+(n-1)r\)

Substituting the known values:

\(a_n=20+6(n-1)\)

The explicit equation of the arithmetic sequence is

\(\boxed{a_n=20+6(n-1)}\)

1. The two shapes that make up this figure are rectangular pyramid and rectangular prism.

2. The surface area of shape 1 is 390.3 cm².

3. The surface area of shape 2 is 504 cm².

4. The total surface area of this figure is 894.3 cm².

By critically observing the figure, we can logically deduce that shape 1 represents a rectangular pyramid while shape 2 represent a rectangular prism.

Part 2.

In Mathematics, the surface area of a rectangular pyramid can be calculated by using this mathematical equation:

Total surface area of rectangular pyramid = \(lw+l\sqrt{(\frac{w}{2})^2 +h^2} +w\sqrt{(\frac{l}{2})^2 +h^2}\)

where:

By substituting the given side lengths into the formula for the surface area of a triangular prism, we have the following;

Total surface area of rectangular pyramid = \((12 \times 10)+12\sqrt{(\frac{10}{2})^2 +11^2} +10\sqrt{(\frac{12}{2})^2 +11^2}\)

Total surface area of rectangular pyramid = 390.3 cm².

Part 3.

In Mathematics and Geometry, the surface area of a rectangular prism can be calculated and determined by using this mathematical equation or formula:

Surface area of a rectangular prism = 2(lh + lw + wh)

Surface area of a rectangular prism = 2(12 × 6 + 12 × 10 + 10 × 6)

Surface area of a rectangular prism = 2(72 + 120 + 60)

Surface area of a rectangular prism = 504 cm².

Part 4.

Total surface area of this figure = 390.3 cm² + 504 cm².

Total surface area of this figure = 894.3 cm²

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The predicted sales for spending $275,000 on advertising is $65,250. This linear regression shows a positive correlation between the advertising dollars spent and the sales.

It is used to predict the value of a dependent variable based on the values of the independent variables.

The equation for the regression line is y = 0.15x + 24,000, where x is the advertising dollars spent and y is the sales.

Substituting $275,000 for x, we get

y = 0.15(275,000) + 24,000

= 41,250 + 24,000

= 65,250.

Therefore, the predicted sales for spending $275,000 on advertising is $65,250.

This linear regression shows a positive correlation between the advertising dollars spent and the sales. This means that as the advertising dollars increase, the sales will increase as well. The regression line also shows that if the company were to double its advertising dollars, the sales would also double. This indicates that the company is getting a good return on investment for their advertising dollars.

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Answer:

The RN should set up the infusion pump to deliver 125 mL/hour.

To calculate the infusion rate, we can use the following formula:

Infusion rate = Volume / Time

In this case, the volume is 1000 mL and the time is 8 hours. Plugging these values into the formula, we get the following:

Infusion rate = 1000 mL / 8 hours

Infusion rate = 125 mL/hour

Therefore, the RN should set up the infusion pump to deliver 125 mL/hour.

It is important to note that this is just the calculated rate. The actual rate may vary slightly depending on the type of infusion pump and the settings that are used.

Step-by-step explanation:

Based on the given information, the function f(x) definitely takes the values of 4 and 7 at x = -1 and x = 3, respectively. Between these values, f(x) can have other values within the interval (-3, 4) due to the function's continuity.

Based on the given information, if the function f(x) is continuous on the interval (-3, 4) and we know that f(-1) = 4 and f(3) = 7, we can conclude the following about the outputs of f(x):

The function f(x) definitely takes the values of 4 and 7 at x = -1 and x = 3, respectively.

Since f(x) is continuous on the interval (-3, 4), it will take all values between 4 and 7 at some point within that interval.

However, we cannot determine the exact values that f(x) may take between 4 and 7, as it could have various values within that range depending on its behavior.

In summary, f(x) definitely takes the values of 4 and 7, but it can also have other values between 4 and 7 within the interval (-3, 4).

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The coefficient of x5y8 in (x+y)13 is 1287. This is the answer obtained by using the binomial theorem and the formula for binomial coefficients.

The binomial theorem states that (x+y)n = ∑j=0n (nj) xn−j yj, where (nj) = n! / j! (n-j)! is the binomial coefficient.

To find the coefficient of x5y8 in (x+y)13, we need to find the term where j = 8, since xn−j yj = x5y8 when n = 13 and j = 8.

The coefficient of this term is then (n j) = (13 8) = 13! / 8! 5! = 1287. This means that x5y8 is multiplied by 1287 in the expansion of (x+y)13.

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The graph of the function is shown below:

a)

From the graph we notice that the vertex of the function is at the point:

b)

From the graph we notice that the axis of the function is the line:

C)

Since this is a polynomial its domain is all the real numbers, that is:

d)

From the graph we notice that the range is:

e)

The graph is increasing in the interval:

f)

The graph is decreasing in the interval:

Answer:

There ya go

Step-by-step explanation:

Answer:

15/2

Step-by-step explanation:

goodluck on the rest! (:

The convolution integral y(t) = x(t) * h(t) for the given pair of signals x(t) and h(t) can be computed as follows:

y(t) = ∫[x(τ) * h(t - τ)] dτ

1) x(t) = δ(t) and h(t) = δ(t - 2) * (t - 1)

The convolution integral becomes:

y(t) = ∫[δ(τ) * δ(t - τ - 2) * (τ - 1)] dτ

To evaluate this integral, we consider the properties of the Dirac delta function. When the argument of the Dirac delta function is not zero, the integral evaluates to zero. Therefore, the integral simplifies to:

y(t) = δ(t - 2) * (t - 1)

The convolution result y(t) is equal to the shifted impulse response h(t - 2) scaled by the factor of (t - 1). This means that the output y(t) will be a shifted and scaled version of the impulse response h(t) at t = 2, delayed by 1 unit.

In summary, for x(t) = δ(t) and h(t) = δ(t - 2) * (t - 1), the convolution integral y(t) = x(t) * h(t) simplifies to y(t) = δ(t - 2) * (t - 1).

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Answer:

48

Step-by-step explanation:

55+65=120 and 2/5 of 120 is 48

The recursive rule for the sequence is T(n) = T(n - 2) - T(n - 1)

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

100, 3 , 97 ,-94 , 191

The above definitions imply that we simply subtract the current from the previous term to get the next term

Using the above as a guide,

So, we have the following representation

T(n) = T(n - 2) - T(n - 1)

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Answer:

f= -4x-7/x

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Continuous compound is given by the following formula:

\(A=Pe^{rt}\)

Where A is the ending amount, P is the initial amount, e is Euler's number, r is the rate, and t is the time in years.

We have a $5000 investment at 4% or 0.04 for 18 years. Therefore:

\(A=5000e^{(0.04)(18)}\)

Use a calculator:

\(A\approx\$ 10272.17\)

Hence, our answer is D.

Step-by-step explanation:

P(t) = P0 * e^rt

=> P(18) = $5000 * e^(0.04 * 18) = $10,272.17. (4)

The only value of C that makes the set of vectors linearly dependent is C = -1.  All other values of C make the set linearly independent.

A set of vectors is linearly independent if none of the vectors in the set can be expressed as a linear combination of the others.

In other words, if all the coefficients in the linear combination are zero, then the set is linearly independent.

If vectors V1, V2, and V3 are linearly independent, then we know that there exist only one set of scalars such that

α1V1+ α2V2+ α3V3 = 0

where α1, α2, α3 are scalars (real numbers).

In the present case, V1 = (1, C, 0), V2 = (1, 0, 1), and V3 = (0, 1, -c).

Therefore,α1(1, C, 0)+ α2(1, 0, 1)+ α3(0, 1, -c) = 0

Rearranging the terms, we get the following three equations.α1 + α2 = 0 α3= 0α2 - Cα1 + α3 = 0

From the second equation, we get α3 = 0  which we substitute into the first and third equations to get

α1 = -α2α2 - Cα1 = 0

But since we know that α3 = 0, this equation gives us a hint to calculate the values of C, i.e., α1 and α2 can't be equal to 0 because this leads to a trivial solution.

Thus, the determinant of the coefficient matrix has to be nonzero.

This leads us to the following calculation:-

Cα1 - α1 = 0α2 - α2 = 0

As a result, -Cα1 - α1 = 0 = α1 (-C-1)

Therefore, α1 is 0 for any value of C not equal to -1.

To find the value of α2, substitute α1 = -α2 in the equation α2 - Cα1 + α3 = 0, which yields  

α2 - Cα1 + α3 = 0α2 + Cα2 = 0

⇒ α2 = 0 or Cα2 = 0

Since α2 cannot be zero because that would give a trivial solution, we have to take Cα2 = 0.

Therefore, C = 0 or α2 is zero.If C = 0, we get

V1 = (1, 0, 0)

V2 = (1, 0, 1)

V3 = (0, 1, 0)

The three vectors are linearly independent because we can't express one vector as a linear combination of the others. On the other hand, if α2 = 0, then α1 = 0.

Thus, we have only one possibility when C = -1, which is α1 = 0, α2 = 0, α3 = 0

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