If X ∼ t(p), prove that X2 ∼ F(1,p)

Answer:

a) 2.5 x 10^5

b) 8.1 x 10^4

c) 9.06 x 10^8

d) 1.034 x 10^10

The points t will also be in between line segment sv.

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

Given that,

Point k is in between of j and l

Since the length of the line segment sv is equal to jl and t is the midpoint of sv so jk will be equal to the st.

Hence "The points t will also be in between line segment sv".

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Answer:

128, -256, -1024

Step-by-step explanation:

multiply 32 by 4, multiply 128 by -2, multiply -256 by 4

Answer:

3/4 a pint

Step-by-step explanation:

1/4 + 2/4 = 3/4

This equation has no solution because e^(2+5x) is always positive, so the function has no critical points. Therefore, the function has no local maxima or minima.

The points that correspond to local maxima of the function y = e^(2+5x) will be determined.

The function y = e^(2+5x) is an exponential function with base e, where the exponent is a linear function of x. To find the local maxima of the function, we need to find the critical points, which are the points where the derivative of the function is equal to zero or undefined.

The derivative of the function y = e^(2+5x) can be found using the chain rule of differentiation:

dy/dx = e^(2+5x) * d/dx (2+5x) = 5e^(2+5x)

Setting the derivative equal to zero, we get:

5e^(2+5x) = 0

This equation has no solution because e^(2+5x) is always positive, so the function has no critical points. Therefore, the function has no local maxima or minima. The graph of the function is an increasing exponential curve that goes to infinity as x approaches negative infinity and approaches zero as x approaches positive infinity.

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Answer:

possibility of yellow÷ total possibilities

1÷8

1/8

Step-by-step explanation:

hope this is helpful

Answer:

m6 = 78°

Step-by-step explanation:

Since t and m are Parallel, we have:

\(m1 = m4 = m5 = m8 \\ m2 = m3 = m6 = m7 \\ \\ so \: \: \: m3 = m6 = 78\)

Answer: 6

Explanation: 3+3=6

Answer:

$83.20

Step-by-step explanation:

Step 1: Multiply 80 times 4% and you should get 3.2

Step 2: Add 80 plus 3.2

Step 3: Total after tax is $83.20

Answer:

3.20

Step-by-step explanation:

I had the same question, not sure if you still need it.

The p-value, which measures the strength of evidence against the null hypothesis, is extremely small. This indicates that the observed percentage of uninsured patients (35 out of 140) is significantly lower than the expected percentage of 32%.

Given that 32% of emergency room visitors are uninsured, we can calculate the expected number of uninsured patients in a sample of 140 patients:

Expected number of uninsured patients = (32% / 100%) * 140 = 0.32 * 140 = 44.8

Now, let's calculate the test statistic, which is the z-score, using the formula:

z = (observed value - expected value) / standard deviation

where p is the expected percentage of uninsured patients (32% or 0.32) and n is the sample size (140).

standard deviation = √((0.32 * (1 - 0.32)) / 140) = √(0.21824 / 140) = 0.03753

Now we can calculate the z-score:

z = (35 - 44.8) / 0.03753 = -9.8 / 0.03753 = -261.4

Since the z-score is very large (far into the tail of the distribution), the p-value will be extremely small, approaching zero. However, we can't directly find the exact p-value from the z-score table or calculator because it is beyond the limit of standard tables. We can approximate it as essentially zero.

Therefore, the p-value of the test statistic is approximately zero (0.0000) when rounded to four decimal places.

Therefore, based on this data, there is strong evidence to support the claim that the percentage of uninsured patients is below the expected percentage.

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The statement "If a set of vectors {v₁, v₂, ...., vp} in Rⁿ is linearly dependent, then p>n" is False.

Let {v₁, v₂, ...., vp} be a set of p vectors in Rⁿ, then the following are equivalent statements:

1. The set of vectors is linearly dependent.

2. There exist constants c₁, c₂, ... cp, not all of them zero, such that:

c₁v₁+c₂v₂+...+cpvp = 0 (zero vector)

For the above to be possible, the following must hold true: p≥n

Because in Rⁿ, each vector has n components.

So, the total number of unknowns is p, while the total number of equations that we have is n.

Hence p≥n for the system of linear equations above to have a non-zero solution.

Hence, the statement "If a set of vectors {v₁, v₂, ...., vp} in Rⁿ is linearly dependent, then p>n" is False.

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Answer: 1.8 X 10^8

Step-by-step explanation: 6.0 X 10^7 times .3 = 1.8 X 10^8

The probability that a randomly selected month's number of order is more than 150 is 0.13%

Given, shawn finds that the monthly number of take-out orders at a restaurant is normally distributed with mean 132 and standard deviation 6.

⇒ mean = 132

⇒ standard deviation = 6

Analysis:

Set the monthly number of take out order as x.

From the question, we know:

P(x > 150) = P(x-132/ > 150-132/6)

= P(x=132/6 > 3)

= 1 - P(x-132/6 ≤ 3)

≈ 1 - 0.9987 {standard normal distribution table}

≈ 0.0013

= 0.13%

Hence we get the probability as 0.13%.

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Answer:

81.5

Step-by-step explanation:

<G and <H are congruent

<F and <I are congruent

so the last two angles in both triangles must also be congruent

this means that <K and <J are congruent

so we can create this equation: <K = <J

substitute the angles with what we know: 4\(y^{2}\) = 6\(y^{2}\) - 40

add 40 to both sides and subtract 4\(y^{2}\) from both sides: 40 = 2\(y^{2}\)

you get: 20 = \(y^{2}\)

root square on both sides: \(\sqrt{20}\) = \(\sqrt{y^{2} }\)

you get: y ≈ 4.5

substitute this into one of the equations for a missing variable:

6\(y^{2}\) -----> 6 (4.5 x 4.5) - 40

6 ( 20.25) - 40

121.5 - 40

81.5

The length of BC in this problem is given as follows:

BC = 3.6.

Two triangles are defined as similar triangles when they share these two features listed as follows:

The similar triangles for this problem are given as follows:

ABC and ADE.

Hence the proportional relationship for the side lengths is given as follows:

3/5 = BC/6.

Applying cross multiplication, the length BC is given as follows:

BC = 6 x 3/5

BC = 3.6.

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Answer:

960

Step-by-step explanation:

We can calculate the value of x using Euclidean theorem

x^2 = 576 × 1600

x = 960

Answer:

linear

Step-by-step explanation:

We can write this  in the form

y = mx+b

where m is the .75 per mile and b is the 39 dollars

y = .75x + 39

Answer:

the answer is always c trusttt

The probability that the mean mpg for a random sample of 25 light vehicles is 0.042341

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

z = (x-μ)/σ/n, where

x is the raw score = 20 mpg

μ is the population mean = 21 mpg

σ is the population standard deviation = 2.9

n = random number of samples \(x < 20\)

\(= z = 20 - 21/2.9/\sqrt{25} \\= z = -1/2.9/5\\= z = -1.72414\\\)

P-value from Z-Table:

\(P(x < 20) = 0.042341\)

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Answer:

Find the slope of the original line and use the point-slope formula y−y1=m(x−x1)to find the line parallel to y=4x.

y=4x+4

Step-by-step explanation:

Answer:

0.5 hours

Explanation:

Given:

Formula:

Solve:

We can say that the sampling plan leads to non-response bias; because the customers who did not participate in the survey would have provided significantly different answers.

Non-response is a description of non-observation appear in most surveys, that means failure to provide a measurement on one or more research variables for one or more elements chosen for the survey.

Non-response bias happens when participants in the survey are unable or unwilling to respond to a survey question or even the whole survey. Reasons for non-response may vary from person to person. To be considered a disposition of bias, a source of error has to be systematic in nature. Non-response bias is not an anomaly to this rule.

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The given statement "Measuring the entire population is usually preferred over measuring a sample from the population" is False because measuring the entire population is often impractical or impossible.

When dealing with large populations, it is typically more feasible to gather data from a representative sample rather than measuring the entire population. This approach saves time, resources, and effort. Sampling allows statisticians to make reliable inferences about the population based on the characteristics observed in the sample.

Carefully chosen samples can accurately reflect the population's attributes and provide valuable insights.

However, it is crucial to ensure that the sample is representative and unbiased to avoid potential sampling errors and ensure the validity of the conclusions drawn from the data.

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Answer:

cosA &cos C

hope it helps...

Answer:

B  the service fee for coming to look at the machine

Step-by-step explanation:

We can use labelling to solve the problem.

To solve this problem, you can follow these steps:

1. Choose one of the three boxes and take out a ball from it.

2. Check the color of the ball. Let's say it is red.

3. Since the labels on the boxes always lie, you can be sure that the box you chose does not contain only red balls. Therefore, it must either contain a mixture of red and blue balls, or only blue balls.

4. Since you know that one box contains only red balls, and you have already ruled out the possibility that the box you chose contains only red balls, you can conclude that the box you chose must contain only blue balls.

5. Therefore, you can correctly label the box you chose as "blue balls only".

6. You can then label the remaining two boxes as "red balls only" and "mixture of red and blue balls", since you know that one of the boxes contains only red balls, and the other must contain a mixture of red and blue balls.

Therefore, we used labelling to solve the problem.

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The following is a supervised model.

Here we have to find that the following information given is of the supervised or unsupervised model.

Supervised model:

In the supervised model, we create a function (or model) by using labeled training data that consists of input data and a wanted output. The supervision comes in the form of the wanted output, which in turn lets you adjust the function based on the actual output it produces.

Here we are provided that a local restaurant sends a 20% off coupon to its email subscribers and it is asked to find the typical amount that customers with certain incomes sped when they use the coupon.

Therefore the input data and a wanted output is given so the following is a supervised model.

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The complete question:

Determine if the following is a supervised or unsupervised mode. A local restaurant sends a 20% off coupon to its email subscribers. based on past data, what is the typical amount that customers with certain incomes spend when they use the coupon?

Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.

Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.

According to the given information, we can form two equations:

Lucy has $7 less than Kristine: L = K - 7

Lucy has $5 more than Nina: L = N + 5

We also know that the three of them have a total of $35: K + L + N = 35

We can solve this system of equations to find the values of K, L, and N.

Substituting equation 1 into equation 3, we get:

K + (K - 7) + N = 35

2K - 7 + N = 35

Substituting equation 2 into the above equation, we get:

2K - 7 + (L - 5) = 35

2K + L - 12 = 35

Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:

2K + (K - 7) - 12 = 35

3K - 19 = 35

Adding 19 to both sides:

3K = 54

Dividing both sides by 3:

K = 18

Now we can substitute the value of K into equation 1 to find L:

L = K - 7

L = 18 - 7

L = 11

Finally, we can find the value of N by substituting the values of K and L into equation 3:

K + L + N = 35

18 + 11 + N = 35

N = 35 - 18 - 11

N = 6

Therefore, Lucy has $11.

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Answer:

600

Step-by-step explanation:

+2  

2 5

2 4

---------

 First 5 x 4=20 which means add 2 to the equation 2 x 4

Second 4 x 2=8 + 2=10 do first 3 numbers are 100

third we put a 0 below the first 0 on first line.

fourth do 5 x 2=10 so we add 1 to 2 x 2

fifth 2 x 2 + 1= 5

sixth 100 + 500=600 and there's your answer

Hope this helps have a great afternoon:)

a)  The direction in which you should walk to descend fastest is: (-12, -16)

b) The slope of your path is: -88

c) The direction of the greatest increase in temperature at the point (−2, 2) is: (-4, 4)

The maximum rate of change is: 4√2

d) The direction of the greatest decrease is: (4, -4).

The most negative rate of change is: 4√2

(a) The equation on the surface is:

z = 15 - (3x² + 2y²)

The gradient of this surface will be the partial derivatives of the equation. Thus:

Gradient of the surface z:

∇z = (-6x, -4y)

Since you are standing above the point (2,4), then the direction to descend fastest is:

∇z(2,4) = (-6(2), -4(4))

∇z(2,4) = (-12, -16)

That gives us the direction to descend fastest is in the direction.

(b) If you start to move in the direction (-12, -16) above, then slope of your path (rate of descent) is given by the dot product expressed as:

Slope = ∇z(2,4) · (-12, -16)

= (2)(-12) + (4)(-16)

= -24 - 64

= -88

(c) We want to find the direction of the greatest increase in temperature at the point (−2,2).

Thus, the gradient of T(x,y) is given by:

∇T = (2x, 2y).

The direction is:

∇T(-2, 2) = (2(-2), 2(2))

∇T(-2,2) = (-4, 4)

The maximum rate of change is:

∇T(-2,2) = √((-4)² + 4²)

= √(16 + 16)

= √(32)

= 4√2

(d) The direction of the greatest decrease is:

(-∇T(-2, 2)) = (-(-4), -4)

= (4, -4).

The most negative rate of change is:

∇T(-2, 2) = √(4² + (-4)²)

= √(16 + 16)

= √(32)

= 4√2

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