3²+4x5
how do i solve this equation?

The probability that a package of 5 tasks is processed in less than 8 minutes is 0.963.

Let X denote the time required to process a package of five tasks. X is an exponentially distributed random variable with mean 2 minutes.

The probability of X being less than 8 minutes is given by:

P(X ≤ 8) = 1 - P(X > 8)

= \(1 - (1 - e^{(-8/2)}^{5}\)

= 0.963

Therefore, the probability that a package of 5 tasks is processed in less than 8 minutes is 0.963.

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The answer to the question 18(26) is 18 * (20 + 6) = 468

This property states that multiplying the total of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding the results together.

According to the distributive property, you can multiply a component by each addend separately before adding the total when multiplying it by two addends.

Based on this property, in order to solve a problem of this type, you have to expand the multiplication.

Hence 18(20 * 6)

is written as (18 * 20) + (18 * 6)

= 468

The answer is 468

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Answer:

Step-by-step explanation:

Midsegment is the half the length of the parallel side of the triangle.

So parallel sides of the triangles, which are the side of the base of the pyramid are:

Answer:

the length of the base of the pyramid =2×58=116

since the mid segment line from the midpoint is half of the third one or base.

Answer: 592

Step-by-step explanation:

A=2(wl+hl+hw)

A=2(8*10+12*10+12*8)=592

Answer:

x - (-9,0)

y - (0,-18)

Step-by-step explanation:

Answer:

x-intercept = (-9,0)

y-intercept = (0,-18)

Step-by-step explanation:

To find the x-intercept, substitute in  0  for  y  and solve for  x . To find the y intercept, substitute in  0  for  x  and solve for  y .

Answer: linear combo of terms involving x & y, with respective numbers determining their contribution to the expression

To calculate the ideal cooling capacity (BTU/hour) required for the room, you need to determine the heat load generated by the occupants (in this case, 10 people) and any other heat sources present in the room. To calculate the ideal cooling capacity in BTU/hour required for a room with a volume of 300 m³, where 10 people work inside for 7 hours, additional information is needed. Specifically, the heat load generated by each person and any other heat sources in the room would be necessary to provide an accurate calculation.

To calculate the ideal cooling capacity, we need to consider the heat load produced by the occupants. The heat load generated by a person depends on several factors, including the metabolic rate, clothing, and activity level. A commonly used value for the sensible heat load generated by a seated person in a moderate activity level environment is around 250 BTU/hour.

Calculate the total sensible heat load generated by the occupants:

Total Heat Load = Number of People * Heat Load per Person

= 10 * 250 BTU/hour

= 2500 BTU/hour

Determine if there are any additional heat sources in the room. If so, consider their heat load contribution and add it to the total heat load calculated in step 1.

The ideal cooling capacity required would be equal to the total heat load generated by the occupants and any additional heat sources.

To calculate the ideal cooling capacity (BTU/hour) required for the room, you need to determine the heat load generated by the occupants (in this case, 10 people) and any other heat sources present in the room. The heat load per person can be estimated based on factors such as metabolic rate and activity level. Once the total heat load is determined, it represents the ideal cooling capacity needed to maintain a comfortable temperature in the room.

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For a right triangle, use the Pythagorean Theorem.

The length of a triangle’s third side must always be between (but not equal to) the sum and difference of its other two sides. Take, for example, the numbers 2, 6, and 7. As a result, the length of the third side must be larger than 4 but less than 8.

Use the Pythagorean Theorem to get the area of a right triangle. Use the area formula for an isosceles triangle to calculate the area of an isosceles triangle. Use the law of cosines or the law of sines if you know some of the angles and other side lengths.

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Answer:

x = 8

Step-by-step explanation:

The measures of the angles in a triangle add up to equal 180°

That being said we can create an equation to solve for x

( note that this is a right triangle indicated by the square. A right triangle has a right angle which has a measure of 90° )

180 = 90 + 5x + 5 + 5x + 5

now we solve for x using basic algebra

step 1 combine like terms

90 + 5 + 5 = 100

5x + 5x = 10

now we have 180 = 100 + 10x

step 2 subtract 100 from each side

180 - 100 = 80

100 - 100 cancels out

now we have 10x = 80

step 3 divide each side by 10

10x / 10 = x

80 / 10 = 8

we're left with x = 8

Answer:

B) 3x +2y >= 6

Step-by-step explanation:

Explanation:

The rule \((x,y) \to (-x,y)\) has us flip the sign of the x coordinate from positive to negative (or vice versa). This applies a reflection over the y axis. For example, the point (5,6) moves to (-5,6).

Currently this shape is in quadrant 1. The quadrants start in the top right corner, and you move counterclockwise going to quadrants 2,3, and 4. Quadrant 2 is to the left of quadrant 1, and this is where all of the points end up after applying a reflection over the y axis.

Jelly beans are $1.5/lb and trail mix is $2.063/lb, according to the data.

A heterogeneous mixture would be a trail mix. When the components of a combination are dispersed unevenly across the mixture, the mixture is said to be heterogeneous. As a mixture of nuts, raisins, and other seeds, trail mix cannot have an evenly distributed dispersion of its ingredients.

t = trail mix, j = jelly beans

3t + 8j = 21

5t + 2j = 18

Solving the first for t

2t = 6j - 3

t = (6j - 3)/2

Substituting

5(6j - 3)/2 + 2j = 18

j = 51/34

j = 1.5, Jelly beans cost $1.5/lb

now,

8t + 3(1.5) = 21

8t = 16.5

t = 2.0625, trailmix costs $2.063 dollars/lb

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These probabilities may be given in the problem statement or may need to be estimated based on past data or assumptions. Once we have these probabilities, we can use the multiplication rule to calculate the joint probability.

To find the probability that the next driver will use entrance 1 and park for more than two hours, we can use the multiplication rule of probability.

The multiplication rule states that the probability of two independent events occurring together is the product of their individual probabilities. In this case, the two events are:

The driver uses entrance 1

The driver parks for more than two hours

Let P(E1) be the probability that the next driver uses entrance 1, and let P(MT2) be the probability that the next driver parks for more than two hours.

Then, the probability that both events occur together is given by:

P(E1 and MT2) = P(E1) × P(MT2)

So, to find the probability that the next driver will use entrance 1 and park for more than two hours, we need to know the individual probabilities of these events.

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Answer:

w = 2.5

Step-by-step explanation:

do minus 8 on both sides making the formula

2w =5

then divide both sides by two so the 2w is now just w making it

w = 5÷2

w = 2.5

The variables classified as interval-ratio are continuous.

Variables classified as interval-ratio are continuous in nature. Continuous variables can take any value within a specific range, and they can be measured on a continuous scale. These variables have an infinite number of possible values between any two points.

In exercise 3, if a variable is classified as interval-ratio, it means that it possesses all the properties of continuous variables. For example, if we have a variable such as "temperature," it can take any value within a specific range (e.g., from -10 degrees Celsius to 30 degrees Celsius).

We can measure temperature at any point within this range, including values with decimal places. Similarly, variables like "time," "weight," or "height" are also considered interval-ratio variables.

The key distinction between discrete and continuous variables is that discrete variables can only take on specific, distinct values, while continuous variables can take on any value within a range. In the case of interval-ratio variables, they can take on a continuous range of values, making them continuous variables.

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The correct option for the slope of the least-squares regression line is (c) It has the same sign as the correlation.

A least squares regression line (LSRL) is a straight line that shows how the response variable y changes as the explanatory variable x changes. A line is a mathematical model used to predict the value of y for a given x. Regression requires an explanatory variable and a response variable. 

The method of least square regression line is an important statistical technique practiced to find the regression line or the best fit line for a particular pattern. This procedure is described by an equation with specific parameters. The least squares method is used liberally in analysis and regression.  

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Answer:x − x^{2} − 1.

Step-by-step explanation:

.

Answer:

the first one is an irregular shape, the second one isn't.

Step-by-step explanation:

Answer:

greater part = Rs.81

smaller part = Rs.59

Step-by-step explanation:

Solution:

Let the greater part be x and smaller part be (140 - x)

Acccording to question,

or, 2x+15 = 3(140 - x)

or, 2x+15 = 420-3x

or, 2x+3x = 420-15

or, 5x = 405

or, x = 405÷5

x = 81

Therefore, the greater part = x = 81

the smaller part = (140-x) =(140-81) = 59

Answer:

1. City A
2. Exponential Growth
3. Linear

Step-by-step explanation:

The equation for exponential growth is f(x)=a(1+r/100)^x, where a is the initial growth/starting population, r is the growth rate, and x is the time intervals.

City A
f(x)=200(1+1.05/100)^x
Simplify:
f(x)=200(1.105)^x

City B
An increase in 20 people each year is NOT exponential but linear:
f(x)=20x+200

Now we plug in x for 1 to stand for 1 year and see which city has a greater number:
City A:
f(1)=200(1.105)^1
f(1)=200 x 1.105
f(1)=221

City B:
f(1)=20(1)+200

f(1)=20+200

f(1)=220

City A will have more people.

City A is an exponential function because there's a percent increase every year, and there will be more people every year because there are more people. This is kind of how compound interest also works

City B is a linear equation because a set number of people are added every year and doesn't change based on the amount of people already in it.

1. City B will have more population after 1 year.

In this case, we have been given of both the cities A and B with each year's growth factor and we have been told to find out, which city will have more population after 1 year. So to find out the comparison, first we need to find out the individual popoulation of both the cities after 1 year of interval.

So, population of City A after 1 year will be 200 * 1.05 = 210

Similarly,  population of City B after 1 year will be 200 + 20 = 220

It is clear that City B has more population as compared to City A.

Therefore, after 1 year City B has more population.

2. equation for City A is Exponential Growth Equation.

Exponential growth is the growth which takes place when a particular quantity increases at a constant rate over a fixed time period. It is given in the form of \(P = P_{0} * (1 + r)^t\), where P is population, \(P_{0}\) is initial population, r is the growth rate, and t is time period.

3. equation for City B is Linear Equation.

Linear equation is a representation of a straight line when graphed on paper. It has constant coefficients and variables raised to power 1. It is given in the form of \(P = P_{0} + rt\), where P is population, \(P_{0}\) is initial population, r is the growth rate, and t is time period.

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Answer:

y=0.25x+35

Step-by-step explanation:

if the truck doesn't have to travel at all, it costs $35 for the loading fee, so the y-intercept is (0, 35). As x increases by 1, y increases by 0.25, so the slope is 0.25. Therefore, the equation is y=0.25x+35

Answer:

y = .25 x + 35

Step-by-step explanation:

Total cost = cost per mile * number of miles * flat fee

y be the cost in dollars

x = miles

y = .25 x + 35

Slope intercept form is y = mx+b where m is the slope and b is the y intercept

Answer: 4

Step-by-step explanation:

Let the number of gallon milk cartons be M and the number of apples be N.  The total cost would be 3.59M + 0.60N <= 6.00.  If M = 1, then

3.59 + 0.60N <= 6.00

0.60N <= 2.41

N  <= 4  [2.40, with 0.01 left over]

The probability that the first is a king, the second a diamond and the third a diamond quiz let is 1/13, 1/4 and 10/52 respectively.

Now, we know that there are 52 cards in the deck of cards, and there are 13 cards of each suits i.e. diamonds, spade, heart and clubs. Also there are 12 face cards in total of the deck.

So, the probability if getting the first card is king :

King is a face card and there are 4 kings in the deck so the probability will be :

P(getting 1st card as king) = 4/52 = 1/13.

The probability of getting the second card a diamond is :

we know that there are 13 cards of the diamond in the deck so the probability will be :

P(getting the diamond card) = 13/52 = 1/4.

Now, lastly the probability if getting the diamond quiz let is :

There are 10 flashcards of the diamonds in the deck, so the probability will be :

P(getting the diamond flashcard) = 10/52.

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Based on the dimensions of the basketball court, we can calculate that the area of the scaled copy is 18 ²³/₆₄ feet².

Every 16 feet of the actual court is 1 foot on the scaled copy. The dimensions of the scaled copy are therefore:

= 94 / 16                                                           = 50 / 16

= 5.875 feet                                                     = 3.125 feet

= Length x Width

= 5.875 x 3.125

= 18.359375

= 18 ²³/₆₄ feet²

In conclusion, the area is 18 ²³/₆₄ feet².

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Answer:

4y^3 + 4x^2 - 2

Step-by-step explanation:

Sort out these terms following powers of x and y:

First, y terms:

 6y^3 - 2y^3 => 4y^3

Next, constants:

 7 - 7 - 2 => -2

Next, x^2 terms:

 6x^2 - 2x^2 => 4x^2

Now write out the modified expression, using the "combined terms" results given above:

4y^3 + 4x^2 - 2

To estimate the standard deviation using the range rule of thumb, we need to find the range of the data set and divide it by 4.

In this case, the range is the difference between the highest and lowest heights, which is cm. Dividing by 4 gives us an estimate of the standard deviation of cm.
Comparing this estimate to the actual standard deviation of cm calculated from the data set, we can see that the estimate is off by quite a bit. This suggests that the range rule of thumb is not a very accurate method for estimating standard deviation.
In fact, the range rule of thumb is only accurate for data sets that are roughly bell-shaped and symmetrical, which may not be the case for body measurements. To get a more accurate estimate of standard deviation, we would need to use a more sophisticated statistical method.
Overall, the result suggests that we need to be cautious when using the range rule of thumb to estimate standard deviation, especially when working with data that is not well-behaved or that has outliers.

To estimate the standard deviation (s) using the range rule of thumb with body measurements, we first need the range of the heights of males provided in the dataset. Unfortunately, the low and high values in centimeters were not included in the question. However, I can explain the process step by step, and you can plug in the correct values to determine the accuracy of the estimate.
Step 1: Calculate the range
Range = High value (in cm) - Low value (in cm)
Step 2: Apply the range rule of thumb
Estimated standard deviation (s) = Range / 4
Step 3: Compare the estimated standard deviation to the given standard deviation (in cm)
Compare the estimated s value from Step 2 to the given standard deviation of cm (again, the value was not provided in the question).
Step 4: Determine the accuracy of the estimate
If the difference between the estimated s and the given standard deviation is within the specified cm (not provided in the question), then the estimate is considered accurate.
By following these steps and inputting the correct values, you can determine whether the range rule of thumb provides an accurate estimate for the standard deviation (s) of male heights in the body measurements dataset.

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The range rule of thumb provides a rough estimate of the standard deviation of data. By comparing the estimated and actual standard deviations, we can determine the accuracy of this rule for the given data set. If the estimated standard deviation is within n cm of the actual one, the estimate is considered accurate.

The range rule of thumb is a rule that provides a rough estimate of the standard deviation of a set of data. We can find it by dividing the range of the data (the difference between the largest and smallest data values) by 4. Thus, if the lowest height is cm and the highest is cm, then the estimated standard deviation ' would be ( − ) / 4.

Comparing this estimated standard deviation ' to the actual standard deviation calculated using the heights can provide a rough idea of how well the range rule of thumb works for this data set. If ' is within cm of , then the estimate can be considered accurate. If not, it suggests that the range rule of thumb may not provide a very accurate estimate for this particular data set.

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Answer:

1

Step-by-step explanation:

a negative plus a positive is equal to a negative minus a negative. -29+30=-29-(-30)

Take away negative 30 from -29 and you get 1.