The daily return of stock XYZ is normally distributed with a mean of 20 basis points and standard deviation of 40 basis points. Find the probability such that the return volatility (price change limit) is within one standard deviation from the mean on any given day?

Answer:

l4x-2l= -6  equation has no solution

Step-by-step explanation:

l4x-2l≥0

l4x-2l= -6  equation has no solution

A) The time in minutes that it would reach 40% charge is; 48 minutes

B) The percent at 1 hr 48 minutes is; 90%

The general form of the equation of a line in  slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

From the given parameters, we can find the slope from the formula;

m = (y2 - y1)/(x2 - x1)

m = (30 - 10)/(36 - 12)

m = 20/24

m = 5/6

Thus, for a 40% charge, we have;

5/6 = (40 - 30)/(t - 36)

Cross multiply to get;

5(t - 36) = 60

t - 36 = 12

t = 48 minutes

B) After 1 hr 48 minutes or 108 minutes, it means that;

Percentage = 5/6 * 108

= 90%

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Answer:

Step-by-step explanation:

A regular polygon with 3 sides is an equilateral/equiangular triangle. All the interior angles measure 60 degrees. The exterior angles are supplementary to that (add up to 180) so an exterior angle is 180 - 60 = 120

Answer:

1. 52/3

Step-by-step explanation:

From the given diagram, we can identify two right-angled triangles. The triangles are shown below:

Using trigonometric ratios, we can find x as follows

We can equate the expressions for DF as follows:

Solving for x:

Answer:

x = 5

Answer:

y=3/4. ×=-3/2

y-3/4=0

×+3/2=0

y-3/4=x+3/2

y=x+3/2+3/4

y=(2x+6+3)/4

4y=2x+9

4y-2x-9=0

Answer:

The answer is 8.3 bar notation.

Step-by-step explanation:

2 1/2 into improper is 5/2

3 1/3 into improper is 10/3

Now Multiply

5/2 x 10/3 is 300/36

Now Reduce.

25/3 = 8.3 bar notation

Mark Brainliest!

Answer:

25/3 or 8 1/3

Step-by-step explanation:

To find this solution, we first need to change the mixed numbers into improper fractions so we can solve correctly!

2 1/2 as a improper fraction is 5/2 and 3 1/3 as a improper fraction is 10/3

Now we can directly multiply

Multiply the two numerators together which will get us to 50

Multiply the two denominators together which will get us to 6

Now our fraction is 50/6

But… we can simplify this!

Divide 50 by 2 and 6 by 2 to reduce the fraction

This will get us to our final answer of…

25/3 or 8 1/3

Hope this helps, and please award brainliest if possible!

In summary, in both cases, the existence and uniqueness theorem guarantees that the solutions will stay within certain bounds based on the initial condition, and they cannot reach values outside of those bounds.

a) To find the equilibrium solutions, we set dy/dt = 0 and solve for y. In this case, the equilibrium solutions are y = -2, y = 0, and y = 2.

b) Given that y(0) = 1, we can use the existence and uniqueness theorem to determine if it is possible for y to be greater than or equal to 2, or less than or equal to 0. The existence and uniqueness theorem states that for a first-order ordinary differential equation with an initial condition, there exists a unique solution in a neighborhood of the initial point as long as the function is continuous and satisfies Lipschitz condition.

In this case, since the equation is dy/dt = y(y-2)(y+2), the function is continuous for all values of y. If y(0) = 1, which is between -2 and 2, the uniqueness theorem guarantees that the solution will remain in the neighborhood of the initial point. Therefore, it is not possible for y to be greater than or equal to 2 or less than or equal to 0.

c) Given that y(0) = -1, we can again use the existence and uniqueness theorem to analyze the behavior of the solution. Similar to the previous case, since y(0) = -1 is between -2 and 2, the uniqueness theorem ensures that the solution will stay in the neighborhood of the initial point. Therefore, it is not possible for y to be greater than or equal to 0 or less than or equal to 2.

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The set of points (x , 1 , 8) describe a line that has constant value of y and z coordinates, i.e., is parallel to x-axis in the plane.

The equation of a plane in R has the generic form: ax + by + cz + d = 0, where a, b, and c are the elements of the normal vector n = (a, b, c) that is perpendicular to the plane or any vector parallel to the plane.

Given: Equations of the lines:

To find: description of the points (x, y, z) in the plane.

Finding:

According to the given conditions, the lines y = 1 and z = 8 describe two lines with constant values of y and z coordinates respectively in the plane.

The set of points (x , 1 , 8) describe a line that has constant value of y and z coordinates, i.e., is parallel to x-axis and can have infinitely many values of x in the plane.

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Answer:

Logarithms were invented in the 17th century as a calculation tool by Scottish mathematician John Napier (1550 to 1617), who coined the term from the Greek words for ratio (logos) and number (arithmos

Step-by-step explanation:

Answer:

  A = B = 45°

  x = 11√2

Step-by-step explanation:

The sides of the right triangle have equal lengths, so this is an isosceles right triangle. Its acute base angles are complementary and have the same measure: A = B = 45°.

You should know from memory that the hypotenuse of an isosceles right triangle is √2 times the side length, so would be x = 11√2. Even if you don't, you can figure it from the Pythagorean theorem:

  x² = 11² +11² = 11²·2

  x = 11√2 . . . . . take the square root

Answer:$ 44.70

Step-by-step explanation: 250/1.3687 = 182.655-150 =32.655 times 1.3687

Answer:

He has 45 USD left.

Step-by-step explanation:

250 USD = 212 Euros. 250 - 212 = 38. 38 euros - about 45 USD, rounded.

There are 107 multiples of 2 between 176 and 389.

The first multiple of 2 within the range is the smallest multiple of 2 that is greater than or equal to the lower endpoint, which is 176. To find this, we divide 176 by 2:

176 ÷ 2 = 88

So the first multiple of 2 within the range is 88.

The last multiple of 2 within the range is the largest multiple of 2 that is less than or equal to the upper endpoint, which is 389. To find this, we divide 389 by 2:

389 ÷ 2 = 194.5

Since we are only interested in whole numbers, we round 194.5 down to the nearest integer, which is 194.

So the last multiple of 2 within the range is 194.

Now that we know the first and last multiples of 2 within the range, we can count how many multiples of 2 exist between them. To do this, we subtract the first multiple from the last multiple and add 1:

194 - 88 + 1 = 107

Therefore, there are 107 multiples of 2 between 176 and 389.

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Answer: (0, 2)

Step-by-step explanation:

The solution of a system of equations is where the lines intersect at.

We will use substitution to solve the system.

Equations:

y = 1/2x + 2

y = -1/5x + 2

Set both equations to equal each other:

1/2x + 2 = -1/5x + 2

Simplify:

7/10x = 0

x = 0

Plug 0 back in:

y = 1/2(0) + 2

y = 0 + 2

y = 2

The solution is (0, 2)

(This can also be seen by looking at the graph)

Hope this helps!

Answer:

√8

Step-by-step explanation:

Answer:

-3x is the answer

Step-by-step explanation:

Answer: The point (-2, 4) is on the circle (x - 5)^2 + (y + 3)^2 = 25.

Step-by-step explanation: The point (-2, 4) is on the circle (x - 5)^2 + (y + 3)^2 = 25. To check if a point is on the circle, we can substitute the point's x and y coordinates into the equation of the circle. If the equation is true, then the point is on the circle. In this case, substituting (-2, 4) into the equation of the circle.

The required area of Fiona's circle is49π. Option D is correct.

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

Where h, k is the coordinate of the center of the circle on a coordinate plane and r is the radius of the circle.

The radius of Fiona's circle is half of the diameter, which is 14/2 = 7 meters.

The formula for the area of a circle is A = πr², where A is the area and r is the radius.

Substituting the value of the radius in the formula, we get:

A = π(7)² = 49π

So, the area of Fiona's circle is 154 square meters, if we use the value of π as 3.14.

Therefore, the answer is 49.

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Answer:

Step-by-step explanation:

p-1=5p+3p-8

7=7p

p=1

Answer:

p = 1

Step-by-step explanation:

\(p-1 = 5p + 3p - 8\)

combine like terms on the right side

\(p - 1 = 8p - 8\)

subtract 8p from both sides

\(-7p - 1 = -8\)

add 1 to both sides

\(-7p = -7\)

divide both sides by -7

\(p = 1\)

1. Simplify \(\frac{1}{3} x\) to \(\frac{x}{3}\)

\(\frac{x}{3} +2y=8\)

2. Subtract \(\frac{x}{3}\) from both sides

\(2y=8-\frac{x}{3}\)

3. Divide both sides by 2

\(y=\frac{8-\frac{x}{3} }{2}\)

4. Simplify \(\frac{8-\frac{x}{3} }{2}\) to \(\frac{8}{2}\) - x/3/2

y=8/2-x/3/2

5. Simplify 8/2 to 4

y=4-x/3/2

6. Simplify x/3/2 to x/3x2

y=4-x/3x2

7. Simplify 3x2 to 6

-y=4-x/6

Answer:

\(b \: \: \sqrt{32} \)

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Answer:

10 months

Step-by-step explanation:

30x = 22x + 80

8x = 80

x = 10

Answer:

He multiplied 3/4 by 1/5 instead of dividing 3/4 by 1/5.

Step-by-step explanation:

Correct is 3/4 / 1/5

= 3/4 * 5

= 15/4 gallons per minute.

Answer:

He multiplied 3/4 by 1/5 instead of dividing 3/4 by 1/5

Step-by-step explanation:

The required angle m∠ADB  of the nomadic tribal rug is 112°

Given, that in ΔAED and ΔBDC,

where, m∠AED = 34° and m∠EAD = 112°

To find m∠ADB

By using the angle sum property of a triangle, which states that the sum of interior angles of a triangle is 180°.

Therefore in ΔAED,

m∠AED + m∠EAD +  m∠ADE = 180°

   34°  +    112°    +   m∠ADE   = 180°

or,    m∠ADE + 146° = 180°

or,       m∠ADE    = 34°

Similarly, m∠BDC = 34°

Now, by using the sum of linear pair of angles,

m∠ADE + m∠ADB + m∠BDC = 180°

  34° + m∠ADB + 34°  = 180°

   m∠ADB + 68° = 180°

   m∠ADB  = 180°- 68°

    m∠ADB = 112°

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The correct phrase commonly used to word conditional probabilities is "given that." This phrase explicitly indicates the condition or event on which the probability calculation is based and emphasizes the dependence between events in the probability calculation.

Let's discuss each option in detail to understand why the correct phrase is "given that" when wording conditional probabilities.

"Dependent": The term "dependent" refers to the relationship between events, indicating that the occurrence of one event affects the probability of another event. While dependence is a characteristic of conditional probabilities, it is not the specific wording used to express the conditionality.

"Given that": This phrase explicitly states that the probability is being calculated based on a specific condition or event being true. It is commonly used to introduce the condition in conditional probabilities. For example, "What is the probability of event A given that event B has already occurred?" The phrase "given that" emphasizes that the probability of event A is being evaluated with the assumption that event B has already happened.

"Either/or": The phrase "either/or" generally refers to situations where only one of the two events can occur, but it does not convey the conditional nature of probabilities. It is often used to express mutually exclusive events, where the occurrence of one event excludes the possibility of the other. However, it does not provide the specific condition on which the probability calculation is based.

"Mutually exclusive": "Mutually exclusive" refers to events that cannot occur simultaneously. While mutually exclusive events are important in probability theory, they do not capture the conditionality aspect of conditional probabilities. The term implies that if one event happens, the other cannot occur, but it does not explicitly indicate the specific condition on which the probability calculation is based.

In summary, the correct phrase commonly used to word conditional probabilities is "given that." It effectively introduces the condition or event on which the probability calculation is based and highlights the dependency between events in the probability calculation.

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(a)The optimal order quantity is  4609 units.

(b)The time between orders is  1.98 months.

To determine the optimal order quantity and the approximate time between orders, the Economic Order Quantity (EOQ) model. The EOQ model minimizes the total cost of inventory by balancing ordering costs and carrying costs.

Optimal Order Quantity:

The formula for the EOQ is given by:

EOQ = √[(2DS) / H]

Where:

D = Annual demand

S = Cost per order

H = Holding cost per unit per year

calculate the annual demand (D) using the 2020

sales numbers provided:

D = 651 + 808 + 514 + 174 + 435 + 426 + 687 + 582 + 662 + 1551 + 1295 + 1774

= 9559 units

To calculate the cost per order (S) and the holding cost per unit per year (H).

The cost per order (S) is given as $500.

The holding cost per unit per year (H)  calculated as follows:

H = Carrying cost percentage × Unit value

= 0.30 × $3

= $0.90

substitute these values into the EOQ formula:

EOQ = √[(2 × 9559 × $500) / $0.90]

= √[19118000 / $0.90]

≈ √21242222.22

≈ 4608.71

Approximate Time Between Orders:

To calculate the approximate time between orders, we'll divide the total number of working days in a year by the number of orders per year.

Assuming 360 days in a year and a lead time of 1 week (7 days) for shipping, we have:

Working days in a year = 360 - 7 = 353 days

Approximate time between orders = Working days in a year / Number of orders per year

= 353 / (9559 / 4609)

= 0.165 years

Converting this time to months:

Approximate time between orders (months) = 0.165 × 12

= 1.98 months

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Answer:

15

Step-by-step explanation:

Step-by-step explanation:

(7y² + 6xy) - (-2xy + 3)

⇒ (-1 * -2xy) + (-1 * 3) = 2xy - 3

7y² + 6xy + 2xy - 3

7y² + 8xy - 3  

Answer:

\(\displaystyle z = 4\, \log_{10} \left(\frac{32}{5}\right)\).

Step-by-step explanation:

Multiply both sides by \((1/5)\) and simplify:

\(\displaystyle \frac{1}{5} \times 5\, (10)^{z/4} = \frac{1}{5} \times 32\).

\(\displaystyle (10)^{z/4} = \frac{32}{5}\).

Take the base-\(10\) logarithm of both sides:

\(\displaystyle \log_{10}\left(10^{z/4}\right) = \log_{10} \left(\frac{32}{5}\right)\).

\(\displaystyle \frac{z}{4} = \log_{10}\left(\frac{32}{5}\right)\).

\(\displaystyle z = \log_{10}\left(\frac{32}{5}\right)\).

ATQ

\(\\ \tt\hookrightarrow 12+2.5r=95.75\)

\(\\ \tt\hookrightarrow 2.5r=95.75-12=83.75\)

\(\\ \tt\hookrightarrow r=83.75/2.5\)

\(\\ \tt\hookrightarrow r=33.5\)

Answer:

d\(\geq\)$500

Step-by-step explanation:

To get the 10% discount, a shopper must spend at least $500

so  'd'  represents the spending (in dollars) of a shopper who gets the discount

The value of d must be greater than or equal to $500

d\(\geq\)$500