Describe how to compare the two ratios 5:8 to 7:9. Tell each step to set up the ratios, then explain what to do to be able to compare the ratios. Finally make sure to answer how the ratios compare. ~ 100 POINTS AND ILL GIVE YOU BRAINLIEST IF YOU ANSWER CORRECTLY AND 5 SENTENCES NEEDED

A stochastic process X(t) is called a martingale if the expected value of X(t) given all information available up to and including time s is equal to the value of X(s).

Thus, to show that the process X(t):=e^(t/2)cos(W(t)), 0 ≤ t ≤ T is a martingale w.r.t. any filtration for Brownian motion, we need to prove that E(X(t)|F_s) = X(s), where F_s is the sigma-algebra of all events up to time s.

As X(t) is of the form e^(t/2)cos(W(t)), we can use Itô's lemma to obtain the differential form:dX = e^(t/2)cos(W(t))dW - 1/2 e^(t/2)sin(W(t))dt

Taking the expectation on both sides of this equation gives:E(dX) = E(e^(t/2)cos(W(t))dW) - 1/2 E(e^(t/2)sin(W(t))dt)Now, as E(dW) = 0 and E(dW^2) = dt, the first term of the right-hand side vanishes.

For the second term, we can use the fact that sin(W(t)) is independent of F_s and therefore can be taken outside the conditional expectation:

E(dX) = - 1/2 E(e^(t/2)sin(W(t)))dt = 0Since dX is zero-mean, it follows that X(t) is a martingale w.r.t. any filtration for Brownian motion.

Now, let's represent X(t) as an Itô process on the interval [0,T]. Applying Itô's lemma to X(t) gives:

dX = e^(t/2)cos(W(t))dW - 1/2 e^(t/2)sin(W(t))dt= dM + 1/2 e^(t/2)sin(W(t))dt

where M is a martingale with M(0) = 0.

Thus, X(t) can be represented as an Itô process on [0,T] of the form:

X(t) = M(t) + ∫₀ᵗ 1/2 e^(s/2)sin(W(s))ds

Hence, we have shown that X(t) is a martingale w.r.t. any filtration for Brownian motion and represented it as an Itô process on any time interval [0,T], T > 0.

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Answer:

First one

Step-by-step explanation:

first one because of the 2 letters which occur the same number an causing a little change

All of the following are inhaled antigens that cause Allergic rhinitis except polyp.

Allergic rhinitis is a common condition that causes inflammation in the nasal passages due to the immune system overreacting to certain inhaled allergens. These allergens are known as antigens and can include pollen, animal dander, mold, and others.

However, out of these options, the one that does not cause allergic rhinitis is polyp. Polyps are non-allergic growths that can form in the nasal passages but are not caused by an immune response to an inhaled antigen.

It is important to identify the specific allergen that triggers allergic rhinitis in order to avoid it and seek appropriate treatment. This may involve allergy testing and medication, such as antihistamines or nasal corticosteroids.

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The inverse Laplace transform of F(s) = 5040s^7 - 8s is f(t) = 5040t^7 - 8.

To find the inverse Laplace transform of F(s), we need to apply the inverse Laplace transform to each term separately.

For the term 5040s^7, we can use the inverse Laplace transform property: L^-1{as^n} = (n!/s^(n+1)). Applying this property, we have:

L^-1{5040s^7} = (7!/s^(7+1)) = 5040/(s^8)

For the term -8s, we can again use the inverse Laplace transform property: L^-1{as} = -a. Applying this property, we have:

L^-1{-8s} = -(-8) = 8

Combining both terms, we get the inverse Laplace transform of F(s):

f(t) = L^-1{5040s^7 - 8s} = 5040/(s^8) + 8 = 5040t^7 - 8

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Answer: The 1st one, 5th one, and the 7th one.

Step-by-step explanation: They are the only ones with half shaded.

Answer:

P

Step-by-step explanation:

C and P are both (10,3).

Presumably C(10,3) refers to the combinations of 10 things taken three at a time, often written

\(\displaystyle {10 \choose 3}\)

When we choose three of 10, we're actually also choosing seven of 10, the leftovers.  So there are the same number of combinations of three as combinations of seven.   In general

\(\displaystyle {n \choose k}={n \choose n-k}\)

Answer: C(10,7)

The scenario for test statistic is estimated z-score to make inferences about the population mean which is unknown.

x is the sample mean = 11

μ is the population mean = unknown

σ is the population standard deviation = 5

And n is the sample size= 1,166

Assuming a normal distribution for the number of alcoholic beverages consumed per week,

Use a z-test to calculate the test statistic.

The formula for the z-score is,

z = (x - μ) / (σ / √(n))

Since the population mean is unknown,

Not possible to calculate the exact z-score,

Calculate an estimated z-score using the sample mean,

z = (x - μ) / (σ / sqrt(n))

z = (11 - μ) / (5 / sqrt(1166))

z ≈ (11 - μ) / 0.146

Therefore, need to know the population mean μ for the z-score in the calculated test statistic.

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Answer:

180  

Step-by-step explanation:

triangle 1/2 base x height = area    45 x 4 = 180

Answer:

100 degrees and 80 degrees

Step-by-step explanation:

Supplementary angles are two angles that add up to 180 degrees when combined.

Answer:

angle B= 95

angle D= 85

Step-by-step explanation:

Answer:

  277 cm^2

Step-by-step explanation:

Two of the triangular faces will have areas of ...

  A = 1/2bh = (1/2)(8 cm)(11 cm) = 44 cm^2

and the other two will have areas of ...

  A = 1/2bh = (1/2)(9 cm)(13 cm) = 58.5 cm^2

The base will have an area of ...

  A = LW = (9 cm)(8 cm) = 72 cm^2

So, the total area will be ...

  2(44 cm^2) +2(58.5 cm^2) +72 cm^2 = 277 cm^2

_____

Comment on the problem

You could not actually build this pyramid. The height of the peak above the 8-cm edges must be ...

  √(11^2 -(4.5)^2) = 10.04 cm

The height of the peak above the 9-cm edges must be ...

  √(13^2 -4^2) = 12.37 cm.

The peak cannot be in two places at once. This geometry is impossible.

Answer:

What are you asking?

Step-by-step explanation:

∠A=angle, A, equals  ^\circ  ∘ degrees  Round your answer to the nearest hundredth. \

Answer:

RLS is a straight angle

RLT is an obtuse angle

TLS is an acute angle

TRL is not an angle

TLU is a straight angle

SLU is an obtuse angle

SLT is an acute angle

ULR is an acute angle

and ULS is an obtuse angle

Step-by-step explanation:

You really just have to look at the angles from either of the straight angles (angles that are 180°) perspective and see of they lean more to make a smaller angle by leaning towards the other end of the angle, or a large one by leaning away from the opposite end.

Our point A(x, y) becomes Something' when a point is rotated 270 degrees counterclockwise around the origin (y,-x). This implies that we reverse x and y and turn x negative.

A pair of numbers that provide the position of a point on such a coordinate plane using the horizontal as well as separations first from two reference axes. usually represented by a pair of x-values and y-values (x,y).

To find a point's coordinates in some kind of a co - ordinate system, you perform the opposite. Starting at the point, travel vertically up or down until your reach the x-axis. There seems to be your x-coordinate shown. Continue the previous procedure while staying on a horizontal line to obtain the y-coordinate.

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The solutions to the equation 3x^2 - 9x - 12 = 0 are x = 4 and x = -1.

To solve the quadratic equation 3x^2 - 9x - 12 = 0, we can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a),

where a, b, and c are the coefficients of the quadratic equation.

In this case, a = 3, b = -9, and c = -12. Substituting these values into the quadratic formula, we have:

x = (-(-9) ± √((-9)^2 - 4 * 3 * (-12))) / (2 * 3)

= (9 ± √(81 + 144)) / 6

= (9 ± √(225)) / 6

= (9 ± 15) / 6.

We have two possible solutions:

For the positive root:

x = (9 + 15) / 6

= 24 / 6

= 4.

For the negative root:

x = (9 - 15) / 6

= -6 / 6

= -1.

The solutions to the equation 3x^2 - 9x - 12 = 0 are x = 4 and x = -1.

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Answer:

r=6

Step-by-step explanation:

The area of a circle is given by πr². Note that this uses the radius, not the diameter.

Now, one quarter of this area (ABC) is given to be 9π.

So apparently:

\(\frac14 \pi r^2 = 9\pi\)

If you solve this:

\(\frac14 r^2 = 9\) (divide both sides by π)

\(r^2 = 9\cdot4\) (multiply both sides by 4)

so

r = √36 = 6

so the radius is 6.

Answer:

Step-by-step explanation:

1) 7x - 14 =  2x + 11    {Add 14 to both sides}

  7x - 14 +14 = 2x + 11  +14

7x  = 2x + 25

7x - 2x = 2x + 25 - 2x

5x = 25           {Divide both sides by 5}

5x/5 = 25/5

x = 5

2) 6x + 5 = 3x + 14

6x = 3x + 14 - 5

6x = 3x + 9

6x - 3x = 9

3x = 9

x = 9/3

x = 3

3) 12x + 5 = 4x +37

12x = 4x + 37 - 5

12x = 4x + 32

12x - 4x = 32

8x = 32

x = 32/8

x = 4

4) 3x + 8 = 2x + 21

3x  = 2x + 21 - 8

3x = 2x + 13

3x - 2x = 13

x = 13

5)  5x + 3 = x + 11

5x = x + 11 -3

5x = x + 8

5x - x = 8

4x = 8

x= 8/4

x = 2

Answer: Step-by-step explanation:

1) 7x - 14 = 2x + 11 {Add 14 to both sides}

7x - 14 +14 = 2x + 11 +14

7x = 2x + 25

7x - 2x = 2x + 25 - 2x

5x = 25 {Divide both sides by 5}

5x/5 = 25/5

x = 5

2) 6x + 5 = 3x + 14

6x = 3x + 14 - 5

6x = 3x + 9

6x - 3x = 9

3x = 9

x = 9/3

x = 3

3) 12x + 5 = 4x +37

12x = 4x + 37 - 5

12x = 4x + 32

12x - 4x = 32

8x = 32

x = 32/8

x = 4

4) 3x + 8 = 2x + 21

3x = 2x + 21 - 8

3x = 2x + 13

3x - 2x = 13

x = 13

5) 5x + 3 = x + 11

5x = x + 11 -3

5x = x + 8

5x - x = 8

4x = 8

x= 8/4

x = 2

Step-by-step explanation:

The average rate of change for the interval from x=9 to x=10 is 39366

The standard exponential equation is given as y = ab^x

From the values of the average change, you can see that it is increasing geometrically as shown;

2, 6, 18...

In order to , find the average rate of change for the interval from x=9 to x=10, we need to find the 10 term of the sequence using the nth term of the sequence;

Tn = ar^n-1

Given the following

a = 2

r = 3

n = 10

Substitute

T10 = 2(3)^10-1
T10 = 2(3)^9
T10 = 39366

Hence the  average rate of change for the interval from x=9 to x=10 is 39366

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Answer:

39,366

Step-by-step explanation:

its right

Answer:

a= one mile in 4 minutes

b =48 minutes

Step-by-step explanation:

A

t = 20 minutes

d = 5 miles

Average speed = distance ÷ time

5 miles÷ 20 minutes

= 1 mile in 4 minutes

= 0.25 miles in 1 minute

B

0.25 miles in 1 minute

12 miles in g minutes

12 miles in 48 minutes

we get this answer because 0.25 in one minute is 1 ÷4

12÷ 12 × 4

12÷ 48

= 12 miles In 48 minutes

Number of ways = 75

From the question, we have

The urn contains 6 blue balls and 5 orange balls.

Number of ways = C(6,4)* C(5,4)

=15*5

=75 ways

Multiplication:

Mathematicians use multiplication to calculate the product of two or more numbers. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of similar sizes, we utilize multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.

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Step-by-step explanation:

The angle 67° is corresponding with the expression (4x+3°) and corresponding angles are equal

4x+3°=67°

4x=67°-3°

4x=64°(divide both sides by 4)

x=16

Answer:

E

Step-by-step explanation:

let a, b, c represent the number of students in 6th, 7th, 8th grade

ratio of students : teachers = 28 : 1

There are 82 teachers , so 28 × 82 = 2296 students

Then

a + b + c = 2296 , that is

828 + b + c = 2296 ( subtract 828 from both sides )

b + c = 1468 → E

The value of composite function (koh)(x) is 1/(5+x) after plugging h(x)  = 5+x in the k(x) option (B) is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The question is:

if h(x)=5+x and k(x)=1/x which expression is equivalent to (koh)(x)

Answer options are:

We have:

h(x) = 5 + x

k(x) = 1/x

To find the composite function:

(koh)(x):

= k(h(x))

= 1/(5+x)

Thus, the value of composite function (koh)(x) is 1/(5+x) after plugging h(x)  = 5+x in the k(x) option (B) is correct.

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Answer:

middle term = 7x

Step-by-step explanation:

in order to find the middle term, we will expand the bracket on the left hand side and compare the expressions on both sides.

(x + 2) (3x + 1) = 3x² + ___ + 2

let the unknown expression = y

(x + 2) (3x + 1) = 3x² + y + 2

Expanding the bracket on the left hand side by multiplication:

x + 2( 3x + 1) = (x × 3x) + (x × 1) + (2 × 3x) + ( 2 × 1)

= 3x² + x + 6x + 2

= 3x² + 7x + 2

Comparing with the expression on the right hand side:

3x² + 7x + 2 =  3x² + y + 2

∴ y = 7x

middle term = 7x

Answer:

5

7

..................

Answer:

y equals -2x -7

y equals 3/4 x plus 2 1/2

Answer:

you divide 36/60 the decimal form is 0.6

Step-by-step explanation:

1. ∆AEB is similar to ∆ADC

L EAB = L DAC

L AEB = L ADC

L ABE = L ADC

2. AE/AD = AB/AC = EB/DC

=> 8/(8+5) = 6.5/AC

8/13 = 6.5/AC

8AC = 13×6.5

AC = 84.5/8

AC = 10.5625

BC = AC -AB

= 10.5625 - 6.5

BC = 4.0625

The total of the two cars is 0.46 + 0.34 = 0.8

The total of all probabilities needs to equal 1

The probability of not buying either car is 1 - the sum of the two probabilities

1-0.8 = 0.20

The probability of not buying either car is 0.20

Answer:

$11.25

Step-by-step explanation:

$1.25 x 7 = $8.75

$20 - $8.75 = $11.25

Answer:

11.25

Step-by-step explanation:

7 times 1.25 = 8.75 then 20 - 8.75 = 11.25

hope this helped    :)