Help please with 4 and 3

Answer:

137.59

Step-by-step explanation:

• Let's call A the event of a bow tie designed with swirls (P(A)=0.3).

• Let's call B the event of a bow made of velvet (P(B)=0.1).

It is important to know that the events are mutually exclusive because bows can be made of two different materials at the same time. which means there's no intersection between A and B. So, the probability is

The area that the dog can wander based on the information provided will be 931π.

From the information, we are told that the dog dog is attached to a 35-foot rope fastened to the outside corner of a fenced-in garden that measures 28 feet by 36 feet.

In this case, the dog is in an outside corner. The dog can trace 3/4 of a circle when it starts walking in a circle away form the wall.

The area that the dog can wander will be:

= 3/4(π35²) + 1/4(π(35 - 28)²)

= 3/4π(35)² + 1/4π(7)²

= (3/4 × 1225)π + (1/4 × 49)π

= 918.75π + 12.25π

= 931π

Therefore, the area that the dog can wander based on the information provided will be 931π.

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A 95% confidence interval for the population mean can be calculated by finding the sample mean and the margin of error for a given level of confidence.

To do this, we need to find the sample mean and standard deviation of the sample data and then use the standard error of the mean.

Here are the steps to calculate the 95% confidence interval:

Calculate the sample mean:

The sample mean is calculated by summing up all the sample data points and dividing by the total number of data points:

Sample mean = (148 + 154 + 158 + 160 + 161 + 162 + 166 + 170 + 182 + 195 + 236) / 11 = 167.36

Calculate the sample standard deviation:

The sample standard deviation is calculated as follows:

Sample standard deviation = sqrt(((148-167.36)^2 + (154-167.36)^2 + (158-167.36)^2 + (160-167.36)^2 + (161-167.36)^2 + (162-167.36)^2 + (166-167.36)^2 + (170-167.36)^2 + (182-167.36)^2 + (195-167.36)^2 + (236-167.36)^2) / 11-1) = 33.07

Calculate the standard error of the mean:

The standard error of the mean is calculated as follows:

Standard error of the mean = sample standard deviation / sqrt(sample size) = 33.07 / sqrt(11) = 11.11

Calculate the margin of error:

The margin of error is calculated as follows:

Margin of error = t-value * standard error of the mean

where t-value is the critical value from the t-distribution table for a given degree of freedom and level of confidence. For a 95% confidence level and 10 degrees of freedom, the t-value is approximately 1.833.

Margin of error = 1.833 * 11.11 = 20.53

Calculate the lower and upper bounds of the confidence interval:

The lower and upper bounds of the confidence interval are calculated as follows:

Lower bound = sample mean - margin of error = 167.36 - 20.53 = 146.83

Upper bound = sample mean + margin of error = 167.36 + 20.53 = 187.89

Therefore, the 95% confidence interval for the population mean is [146.83, 187.89]. This means that we are 95% confident that the true population mean lies between 146.83 and 187.89.

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Answer: \(\frac{15}{64}\) or A

Step-by-step explanation:

The given statement, "According to the Sloan Career Cornerstone Center, individuals working in this area, "computational methods are applied to formulate and solve complex mathematical problems in engineering and the physical and the social sciences" is true. Computer-based computational approaches are used to solve mathematical models that represent physical processes quantitatively.

Computational methods may be used to forecast how complex systems will behave under various situations, which is frequently the case when straightforward analytical answers are not accessible.

Its goal is to analyze the behavior of complicated systems using computer simulations. In the 1960s, computational approaches first appeared in engineering. Since that time, structural engineers have led the way in developing technical fixes for issues with engineering analysis and design. The development of computational techniques has been driven by the emergence of electronic computers and the enormous rise in processing capacity. A wide range of engineering specialties have been significantly impacted by the quick advancements in computer technology.

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The complete question is, "According to the Sloan Career Cornerstone Center, individuals working in this area, "computational methods are applied to formulate and solve complex mathematical problems in engineering and the physical and the social sciences. True or False"

mathematics is applied in engineering and the physical and social sciences to solve complex problems, design structures, analyze data, make predictions, and study patterns and relationships.

mathematics is applied extensively in engineering and the physical and social sciences to solve complex problems and make accurate predictions. In engineering, mathematics is used to model and analyze systems, design structures, and solve optimization problems. For example, civil engineers use mathematical principles to calculate the strength and stability of bridges and buildings, while electrical engineers use mathematical equations to design circuits and analyze electrical systems.

In the physical sciences, mathematics is used to describe and explain natural phenomena. Physicists use mathematical models and equations to understand the behavior of particles, the motion of objects, and the interactions of forces. Mathematics provides a precise language to represent and analyze physical phenomena, allowing scientists to make predictions and test hypotheses.

In the social sciences, mathematics is used to analyze data, make predictions, and study patterns and relationships. Economists use mathematical models to analyze economic trends, forecast future outcomes, and understand the impact of various factors on the economy. Mathematicians and statisticians develop statistical methods to analyze social data and study patterns in areas such as population growth, social networks, and voting behavior.

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To determine whether the given vectors v = (1, -3) and v = (-2, -1) form a basis for R2, we need to check if they are linearly independent and span the entire R2 space.

To check for linear independence, we set up a linear combination equation where the coefficients of the vectors are unknown (let's call them a and b). We equate this linear combination to the zero vector (0, 0) and solve for a and b:

a(1, -3) + b(-2, -1) = (0, 0)

Simplifying this equation gives two simultaneous equations:

a - 2b = 0

-3a - b = 0

Solving these equations simultaneously, we find that a = 0 and b = 0, indicating that the vectors are linearly independent.

To check for span, we need to verify if any vector in R2 can be expressed as a linear combination of the given vectors. Since the vectors are linearly independent, they span the entire R2 space.

Therefore, the given vectors v = (1, -3) and v = (-2, -1) form a basis for R2 as they are linearly independent and span the entire R2 space.

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Answer:

18 inches

Step-by-step explanation:

To to this you would just divide 54 by 3 and you would get how far away from the endpoint which is 18 inches

The mean of the given fuel prices data set is $4.61 with a standard deviation of $1.62.

To calculate the mean and standard deviation in Excel, you can use the following functions:

Mean: The AVERAGE function calculates the mean of a range of values. In this case, enter "=AVERAGE(A1:A30)" in an Excel cell, assuming the data is in cells A1 to A30.

Standard Deviation: The STDEV.S function calculates the standard deviation of a range of values. Enter "=STDEV.S(A1:A30)" in an Excel cell to calculate the standard deviation of the data set.

Using the mean ($4.61) and standard deviation ($1.62), we can now proceed to calculate the Confidence Interval.

The Confidence Interval can be determined using the formula: E = Z * (σ / √n)

In the formula, Z is the z-score corresponding to the desired level of confidence (e.g., 95% confidence corresponds to a z-score of approximately 1.96), σ is the population standard deviation (which can be estimated using the sample standard deviation in this case), and n is the sample size.

Let's assume we want a 95% confidence interval for the data set with a sample size of 30. We can use the formula "=CONFIDENCE.NORM(0.05, STDEV, 30)" in an Excel cell to calculate the E value.

Substituting the values into the formula, we get E = 1.96 * (1.62 / √30) ≈ 0.595.

Now, we can set up the confidence interval using the mean and E value:

Confidence Interval = (mean - E, mean + E)

Confidence Interval = ($4.61 - $0.595, $4.61 + $0.595)

Confidence Interval = ($4.015, $5.205)

Therefore, the 95% Confidence Interval for the given fuel prices data set is approximately $4.015 to $5.205.

In summary, the mean of the fuel prices data set is $4.61 with a standard deviation of $1.62. The 95% Confidence Interval for the data is approximately $4.015 to $5.205.

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If a pilot elects to proceed to the selected alternate, the landing minimums used at that airport should be equal to or higher than the minimums required for the original destination airport.

When a pilot chooses to proceed to the selected alternate airport, they must consider the weather conditions at that airport, particularly the landing minimums. The landing minimums are the lowest weather conditions in which an aircraft can safely land at an airport. They are determined by various factors, such as the visibility range and the height of the cloud ceiling.

Therefore, if a pilot decides to go to the alternate airport, they should use the landing minimums for that airport to ensure a safe landing. The landing minimums for the alternate airport should be equal to or higher than the minimums required for the original destination airport.

It's important to note that the pilot must have knowledge of the landing minimums for the alternate airport before deciding to proceed there. If they don't have the necessary information, they should consider other options, such as returning to the departure airport or diverting to a different airport with suitable weather conditions.

In summary, when a pilot chooses to proceed to an alternate airport, they should use the landing minimums for that airport to ensure a safe landing. The pilot must have knowledge of the minimums before proceeding to the alternate airport.

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Answer:

9.  2a + 14

10. 7h - 70

Step-by-step explanation:

(2 x a ) + ( 2 x 7 )

(7 x h ) - ( 7 - 10 )

To determine the change in angular momentum (ΔL) of a cylinder from t = 0 to t = t0, a student can use the equation:

ΔL = I * Δω

where ΔL is the change in angular momentum, I is the moment of inertia of the cylinder, and Δω is the change in angular velocity.

To calculate Δω, the student needs to know the initial and final angular velocities, ω0 and ωt0, respectively. The change in angular velocity can be calculated as:

Δω = ωt0 - ω0

Once Δω is determined, the student can use the moment of inertia (I) of the cylinder to calculate ΔL using the equation mentioned earlier.

The moment of inertia (I) depends on the mass distribution and shape of the cylinder. For a solid cylinder rotating about its central axis, the moment of inertia is given by:

I = (1/2) * m * r^2

where m is the mass of the cylinder and r is the radius of the cylinder.

By substituting the known values for Δω and I into the equation ΔL = I * Δω, the student can calculate the change in angular momentum (ΔL) of the cylinder from t = 0 to t = t0.

It's important to note that this method assumes that no external torques act on the cylinder during the time interval. If there are external torques involved, the equation for ΔL would need to include those torques as well.

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Answer:

It will be -6≤×≤4

Complete factorization:

(x -6) (x -6) or (x -6)²

Given :  x² − 12x + 36

Here,

Since the leading co- efficient for this equation is 1, we take 36 and find 2 factors that 36 has, and also adds up to -12.

That would be  -6, and -6 because -6 + -6 = -12

Further,

-6 x -6 = 36 , therefore -6 and -6 are the numbers we are looking for.

Hence after factorization,

(x -6) (x -6) or (x -6)²

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Answer:

55

Step-by-step explanation:

Answer:

Specify

Step-by-step explanation:

How many people are in Joe's class. Since it's half, you divide the answer by two.

EX:

If there is 10 people in the class:

10/2 = 5

Which means there are 5 people in the class who brought gifts.

How about another one:

If there are 271 people in the class

272/2 = 136

Which means 136 people in the class brought gifts and there might be a potential landslide of items in Joe's home.

Answer:

D: 57 units

hope this helps!!

Answer:

0 2/5 By zeros

Step-by-step explanation:

Answer:

12.5 hours

Step-by-step explanation:

I did this today in my Math Class.

Answer:

C) 7 minutes

Step-by-step explanation:

start with formula

g(x) = x^4 - 3x^2 + 4x - 5

substitute x with number of stops (2)

g(2) = 2^4 - 3(2^2) + 4(2) - 5

simplify using p.e.m.d.a.s: start with exponents

g(2) = 16 - 3(4) + 4(2) - 5

multiply

g(2) = 16 - 12 + 8 - 5

subtract/add

16 - 12 = 4

4 + 8 = 12

12 - 5 = 7

input: 2

output: 7

ordered pair: (2,7)

The equation representing a vertical line passing through the point (14, -16) can be expressed in the form of x = a, where 'a' is the x-coordinate of the point.

In this case, the x-coordinate of the given point is 14. Hence, the equation of the vertical line passing through (14, -16) is:

x = 14

This equation indicates that the x-coordinate of any point lying on this line will always be 14, while the y-coordinate can take any value. In other words, the line is parallel to the y-axis and extends infinitely in both the positive and negative y-directions.

By substituting any value for y, you will find that the x-coordinate of that point is always 14, confirming that it lies on the vertical line passing through (14, -16). It's important to note that since this is a vertical line, the slope of the line is undefined, as vertical lines have no defined slope.

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Answer:

a)x²

5²=25

b] (x+3)²

(5+3)²

(8)²=64

Home prices are probably skewed to the right and not symmetric. So the correct option would be A.

This makes the median a better representation of the center than the mean which would be influenced by the extremely high-priced homes.

Reporting the mean would give the impression that the​ "typical" home price is higher than it is.

they substitute the median for the mean. The median is unaffected by severe outliers or asymmetric score distributions because it only takes one or two values. In contrast, skewed distributions might have different mean and mode values.

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The length of the rectangle is 23 km and the width of the rectangle is 15 km.

A rectangle is 8 km longer than it is wide.

Its area is 345 sq-km.

Let the width of the rectangle is x.

The length is 8 km longer than the width.

So the width of the rectangle is x + 8 km.

The formula of the area of rectangle is:

A = length × width

We know A = 345 sq-km.

Now putting the value

x × (x + 8) = 345

Now simplifying

x^2 + 8x = 345

Subtract 345 on both side, we get

x^2 + 8x - 345 = 0

Now factor the equation

x^2 + (23 - 15)x - 345 = 0

x^2 + 23x - 15x - 345 = 0

x(x + 23) - 15(x + 23) = 0

(x - 15)(x + 23) = 0

Now equation the factor equal to zero.

x - 15 = 0           or             x + 23 = 0

x = 15                or              x = -23

Since the dimension of the rectangle can't be negative. So

The width of the rectangle is 15 km.

Now we determine the value of length

x + 8 = 15 + 8 = 23

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Answer:

17 feet

Step-by-step explanation:

We have to use the pythagorean theorem, this is actually a bit more complicated than it seems at a first glance.

If Tony is 8 feet to Lexi's right, then we can form a triangle as such

I can't paste it (sorry)

but we can use the formula a^2+b^2=c^2, so 15^2=225, and 8^2=64, and 225+64=289, and \(\sqrt289=17\)

so they're 17 feet apart!

Answer:

If angles 1 and 2 are opposite angles in a quadrilateral inscribed in a circle, we can apply the property that opposite angles in such a quadrilateral are supplementary. This means that the sum of angles 1 and 2 is equal to 180 degrees.

Given that m/1 = 60 (meaning the measure of angle 1 is 60 degrees), we can substitute this value into the equation:

m/1 + m/2 = 180

Substituting m/1 = 60:

60 + m/2 = 180

Subtracting 60 from both sides:

m/2 = 120

To find the measure of angle 2 (m<2), we multiply both sides of the equation by 2:

m = 240

Therefore, the measure of angle 2 (m<2) is 240 degrees.

Step-by-step explanation:

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-4(7 + v) = 28

7 + v = 28 : (-4)

7 + v = -7

v = -7 - 7

v = -14

The value of v is -14

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

the genotype of the transplanted tissue

Step-by-step explanation: