WILL mark branliest answer if gotten right

The probability that the cycle time exceeds 75 minutes, given that it already exceeds 45 minutes, is 25%.

Given the information provided, we know the following:

1. The cycle time for trucks hauling concrete is uniformly distributed over the interval 40 to 85 minutes.
2. We need to find the probability that the cycle time exceeds 75 minutes, given that it already exceeds 45 minutes.

Step 1: Determine the length of the original interval.
The original interval is from 40 to 85 minutes, so the length is 85 - 40 = 45 minutes.

Step 2: Determine the length of the conditional interval.
Since we know that the cycle time already exceeds 45 minutes, our new interval starts at 45 minutes and ends at 85 minutes. The length of this interval is 85 - 45 = 40 minutes.

Step 3: Determine the length of the interval for cycle times exceeding 75 minutes.
The interval for cycle times exceeding 75 minutes starts at 75 and ends at 85, so the length of this interval is 85 - 75 = 10 minutes.

Step 4: Calculate the probability.
Since the cycle time is uniformly distributed, the probability is equal to the ratio of the lengths of the intervals:
Probability = (Length of interval for cycle times exceeding 75 minutes) / (Length of conditional interval)
Probability = 10 minutes / 40 minutes = 0.25 or 25%

So, the probability that the cycle time exceeds 75 minutes, given that it already exceeds 45 minutes, is 25%.

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Answer:

D

Step-by-step explanation:

Hector took 1 hour and 25 mintues to finish the test. (D)!

The prediction of the number of times it will land on heads​ is 43

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

Number of flips = 86

In a coin, we have

P(Head) = 1/2

This means that

Number of times of head = P(Head) * Number of flips

Substitute the known values in the above equation, so, we have the following representation

Number of times of head = 1/2 * 86

Evaluate

Number of times of head = 43

Hence, the prediction of the number of it times it will land on heads​ is 43

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Answer:

81 ft

Step-by-step explanation:

The particular solution to the following system is x(t) = C₁\(e^{5t}\) + C₂\(e^{t}\) + (5/2) \(e^{t}\)/D

x' = 3x + 2y + 3\(e^{t}\)

y' = 2x + 3y - 2\(e^{t}\)

The first equation can be written as

(D-3)x - 2y = 3\(e^{t}\)

The second equation can be written as

-2x + (D-3)y = - 2\(e^{t}\)

(D-3)²x - 4x = (D-3)3\(e^{t}\) - 4\(e^{t}\)

(D²+9-6D-4)x = 3\(e^{t}\) - 9\(e^{t}\) - 4\(e^{t}\)

(D²-6D+5)x = - 10\(e^{t}\)

Auxiliary Equation

m²-6m+5=0

(m-5)(m-1)=0

CF = C₁\(e^{5t}\) + C₂\(e^{t}\)

Particular Integral

PI = -10\(e^{t}\)/(D²-6D+5)

= -10\(e^{t}\)/(D-5)(D-1)

= (5/2) \(e^{t}\)/D

x(t) = C₁\(e^{5t}\) + C₂\(e^{t}\) + (5/2) \(e^{t}\)/D

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The answer is y<6

Add 12 to both sides

Simplify

Divide both sides by the same factor

Simplify

To check if the side correspound to a rigth triangle is:

if the equality is correct then it is a right triangle if not, then it is not a right triangle so:

So the expression was correct so it is a right triangle

Answer:

C. 7.25 m

Step-by-step explanation:

So lets find out the question!

First we know a tree is 4 meters tall and has a 16 meter shadow.

So, We can do easy math and say:

So the other tree cast a 29 meter shadow so remember every:

1 meter ( trees ) = 4 meter ( shadow ).

So know lets do some division!.

29/4 =

7.25.

Thus, 7.25 is your answer.

The height of the other tree is; 7.25 meters

We have the following parameters that can be used in our computation:

Given One tree is 4 meters tall casts a 16-meter shadow

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

Ratio = Height : Shadow

So, we have;

Height : Shadow = 4 : 16

Simplify;

Height : Shadow = 1 : 4

So, we have

Height : 29 = 1 : 4

This means that Height = 29 * 1/4

Evaluate;

Height = 7.25

Hence, the height is 7.25 meters

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Answer:

(-1,1)

Step-by-step explanation:

The cost of each company would be the same for 6 hours of landscaping.

Finding the intersection of the two lines, which reflects the number of hours where the costs of the two companies are equal, requires setting the two equations equal to one another. This is because the y-values of the two equations—i.e., the costs—are identical at that moment.

Given that, Company A charges $50 per hour and a $150 equipment fee.

The equation is:

A = 50t + 150

For company B:

B = 25t + 300

To graph the function find different values of A and B by substituting different values of t.

The two equations would make the same cost at the intersection of the two equations on the graph.

Or, through the equation we can calculate the same cost as:

50t + 150 = 25t + 300

25t = 150

t = 6

The two lines intersect at point t = 6.

Hence, the cost of each company would be the same for 6 hours of landscaping.

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Answer:

|a+5|=a+5

Step-by-step explanation:

if a>-5 or a= -5 |a+5|=a+5

if a< -5 |a+5|= -a-5

Answer:

the answer would be 64

Step-by-step explanation:

you would need to make a sample space and when you test them you will have 64 outcomes

The robot moves in the positive direction along a straight line so that after t minutes its distance is s=6t^4 feet from the origin. (a) Find the average velocity of the robot over intervals 2, 4. We have the following data: Initial time, t₁ = 2 min.

Final time, t₂ = 4 min.The distance from the origin is given by s = 6t^4Therefore, s₁ = s(2) = 6(2^4) = 6(16) = 96 feet s₂ = s(4) = 6(4^4) = 6(256) = 1536 feet

We can find the average velocity of the robot over the interval 2, 4 as follows: Average velocity = (s₂ - s₁) / (t₂ - t₁)Average velocity = (1536 - 96) / (4 - 2)Average velocity = 1440 / 2Average velocity = 720 feet per minute(b) Find the instantaneous velocity at t=2.To find the instantaneous velocity at t = 2 min, we need to take the derivative of the distance function with respect to time. We have the distance function as:s = 6t^4 Taking derivative of s with respect to t gives the velocity function:v = ds / dt Therefore,v = 24t³At t = 2, the instantaneous velocity is:v(2) = 24(2)³v(2) = 24(8)v(2) = 192 feet per minute Therefore, the instantaneous velocity at t = 2 min is 192 feet per minute.

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A study conducted in 2004 examined the usage of cable television and radio among 10 individuals to determine if there was a significant difference in the average hours spent on each medium. Using a significance level of 0.05, statistical analysis was performed to test for a disparity between the population mean usage of cable television and radio.

The researchers collected data on the number of hours per week spent watching cable television and listening to the radio from a sample of 10 individuals. The objective was to determine if there was a significant difference in the average usage between cable television and radio, considering the increasing competition among various entertainment options.

To test for a difference between the population mean usage for cable television and radio, a statistical hypothesis test was conducted. The significance level (α) of 0.05 was chosen, which means that the results would be considered statistically significant if the probability of obtaining such extreme results by chance alone was less than 5%.

The test compared the means of the two samples, namely the average hours spent watching cable television and listening to the radio. By analyzing the data using appropriate statistical techniques, such as a two-sample t-test, the researchers determined whether the observed difference in means was statistically significant or could be attributed to random variation.

After conducting the hypothesis test, if the p-value associated with the test statistic was less than 0.05, it would indicate that there was a significant difference between the population mean usage of cable television and radio. Conversely, if the p-value was greater than 0.05, there would be insufficient evidence to conclude a significant disparity.

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Calculating the circumference of a circle based on the circle's diameter.

What kind of problems can a quantum computer solve?

10 Difficult Problems Quantum Computers can Solve Easily-

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The complete question is -

Which type of mathematical problem is too complex for a classical computer to solve efficiently?

a. converting an irregular fraction to an approximate decimal value

b. multiplying two numbers that both have a large number of digits

c. finding two prime factors that result in a specific value when multiplied

d. calculating the circumference of a circle based on the circle's diameter

The system has a unique solution, and therefore, there is only one solution to the system of equations.

Given the system of equation in the question:

x + y = 7

2x - 3y = -21

First, solve one of the equations for one of the variables and substitute it into the other equation.

From equation (1), we can solve for y in terms of x as follows:

x + y = 7

y = 7 - x --- equation (3)

Now we can substitute equation (3) into equation (2) and solve for x:

2x - 3y = -21

Plug in y = 7 - x

2x - 3(7 - x) = -21

Simplifying the above equation, we get:

2x - 21 + 3x = -21

5x - 21 = -21

5x = 0

x = 0

Now we can substitute x = 0 into equation (1) to find y:

x + y = 7

Plug in x = 0

0 + y = 7

y = 7

Therefore, the solution to the system of equations is x = 0, y = 7.

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The equation is correct and the point (5,-2) is on the line.

The point slope equation of a line with slope 0.25 and a point (5,-2) would be y-(-2) = 0.25(x-5). This equation can be rearranged to y = 0.25x - 1.5.

Calculation:

y = 0.25x - 1.5

Plugging in x = 5

y = 0.25(5) - 1.5

y = -2

The point (5,-2) is on the line.

The point slope equation of a line with slope 0.25 and a point (5,-2) can be written as y-(-2) = 0.25(x-5) which can further be rearranged to y = 0.25x - 1.5. This equation can be further tested by plugging in the x value of the point (5) into the equation and the y value of the point (-2) should be obtained. This proves that the equation is correct and the point (5,-2) is on the line.

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Answer:

Step-by-step explanation:

The easy way is to compare the leading terms or constants.

The leading term is:

The constant is:

The leading term is:

The constant is:

We see both the leading terms (10x³ ≠ 15x³) and constants (-18 ≠ -12) are different so the equation is false.

We see one of the factors is same on both sides:

The other factors are:

Since this factor is different on both sides, the equation is false

False

How?

Let 5x^2-2x+6 be A

The expression will be

\(\\ \sf\longmapsto A(2x-3)=A(3x-2)\)

\(\\ \sf\longmapsto 2x-3=3x-2\)

But it's impossible

\(\\ \sf\longmapsto 2x-3\neq 3x-2\)

Step-by-step explanation:

To find the center, we can use the fact that it is the midpoint of the diameter. In this case, this means the center is (-5, 3).

To find the radius, we can use the fact that the radius is half the length of the diameter. Since the diameter has a length of 14, the radius is 7.

Therefore, the equation is (x+5)^2 + (y-3)^2 = 49.

Answer:

pandas

Step-by-step explanation:

Answer:

it's S:21

i had this same question lol

Answer:

m = -4, b = -12

Step-by-step explanation:

the slope is m which is the number before x. It goes by rise/run, so it is -4/1

the b is the y-intercept which is -12

The value of 60 percent of $600 will be $360.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

In this case, 60% of $600 will be illustrated thus:

= 60% × $600

= 60/100 × $600

= 0.6 × $600

= $360

Therefore, the value is $360.

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The answer to the integral ∫sec²(3x-2) dx is (1/3)tan(3x-2) + C, where C is the constant of integration. To evaluate the integral ∫sec²(3x-2) dx, we can use the u-substitution method. This method involves selecting a suitable substitution that makes the integral easier to evaluate. In this case, the substitution u = 3x-2 would be useful.

To use u-substitution, we first need to find the derivative of u with respect to x, which is du/dx = 3. We can then solve for dx by dividing both sides by 3, giving us dx = du/3.

Substituting u and dx in terms of u into the integral, we get:

∫sec²(3x-2) dx = ∫sec²u (du/3)

Now we can evaluate the integral by using the formula for the integral of sec²x, which is tan x + C. Substituting back x in terms of u, we get:

∫sec²(3x-2) dx = (1/3)∫sec²u du = (1/3)tan(3x-2) + C

Therefore, the answer to the integral ∫sec²(3x-2) dx is (1/3)tan(3x-2) + C, where C is the constant of integration.

In conclusion, the u-substitution u = 3x-2 is useful in evaluating the given integral, and it allows us to simplify the integral using a well-known formula for the integral of sec²x.

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Answer:

The slope is 3.

Step-by-step explanation:

The equation for slope is either \(\frac{y2-y1}{x2-x1}\) or \(\frac{y1-y2}{x1-x2}\). So this should be \(\frac{19-13}{6-4}\), which is 3.

Answer:

Slope =

6

—

2

Step-by-step explanation:

First find the rise over run

Second use the format

Y2-y1

———-

X2-x1

Using the format you will get this

19-13

——

6-4

Next solve

Which then you get

6

—

2

Solve the equation for x, it means express x in terms of y

Once found the expression of x in terms of y, replace for the given value of y to find x

Given that, A college has 5,000 students. Of those 5,000 students, 3,900 are science majors.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100. The formula used to calculate percentage is: (value/total value)×100%.

Now, percentage of science majors = Science majors / Total number of students × 100

= 3900/5000 × 100

= 0.78 × 100

= 78%

Therefore, the percentage of the student body are science majors is 78%.

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