Given that A and B are invertible with B also being symmetric, solve for matrix X. Your answer should be expressed as a single term. B^T AX – A = (B – I)(B + I)A

The probability that your box is a winner is 1/10,000,000.

The probability that your box is a winner can be calculated as the probability of a box rattling and being a winner, divided by the probability of a box rattling.

P(Winner | Rattle) = 1/1,000,000

P(Rattle) = 1/100

P(Winner) = P(Winner | Rattle) * P(Rattle)

= (1/1,000,000) * (1/100)

= 1/10,000,000

a. The expected number of points after one roll is the average of the possible outcomes, which are 1, 2, 3, 4, 5, and 6.

The average is (1 + 2 + 3 + 4 + 5 + 6) / 6 = 3.5.

b. The expected number of points after two rolls is the average of the possible outcomes of the sum of two rolls.

For example, the possible outcome of 2 rolls could be (1,1), (1,2), (1,3), ..., (6,6).

The average of these 36 possible outcomes is 7.

c. The expected number of points after 100 rolls is the average of the possible outcomes of the sum of 100 rolls, which would be approximately 350.

This is because the expected value for each roll is 3.5, and for 100 rolls it would be 100 * 3.5 = 350.

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The measure of base angles and vertex angle are 133° and 47° respectively.

What is an isosceles triangle ?

A triangle with two equal-length sides is known as an isosceles triangle (/assliz/). The term "equilateral triangle" can refer to a shape with either exactly two sides that are the same length or at least two sides that are the same length, with the latter definition containing the equilateral triangle as an exception.

Let the vertex angle to be 'x'

So, according to the question, the measure of the base angels in an isosceles triangle is 8 less than 3 times the measure of a vertex angle

    So, Base angles = (3 × vertex angle) - 8

We know that sum of all angles of a triangle is 180° and the base angles of an isosceles triangle are equal.

∴ Base angles + vertex angle = 180°

  (3 × vertex angle) - 8  + x = 180°

  3x - 8 + x = 180°

  4x = 188°

  x = 47°

∴ The vertex angle is 47° and,

Base angles =  (3 × vertex angle) - 8  

                     = 3 × 47 - 8

                     = 141 - 8

                     = 133°

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\(\huge\color{purple}\boxed{\colorbox{black}{Answer ☘}}\)

in ∆ABE

\( \tan(theta) = \frac{p}{b} \\ \tan(60) = \frac{h}{x} \\ \sqrt{3} = \frac{h}{x} \\ h = \sqrt{3}x\)

Now, in ∆CDE

\( \tan(theta) = \frac{p}{b} \\ \tan(30) = \frac{h}{80 - x} \\ \frac{1}{ \sqrt{3} } = \frac{ \sqrt{3}x }{80 - x} (from \: (1)) \\ = > 3x = 80 - x \\ 4x = 80 \\ x = 20\)

distance of pole CD from E = 80 - x = 60m

distance of pole AB from E = x = 20m

\(h = \sqrt{3} x = 20 \sqrt{3}m\)

Step-by-step explanation:

well, we have several right-angled triangles here.

the main one from the point in the street to the 2 tops of the poles.

and the 2 side ones of the poles to the point on the street.

we know the angle above the point in the street is 90 degrees, because the other 2 angles of the main triangle are 30 and 60 degrees. and the sum of all angles in a triangle must always be 180 degrees.

as the angles up are 30 and 60 degrees, so are their mirrored twins at the tops of the poles as part of the main triangle.

the Hypotenuse of the main triangle is the connection between the tops of the poles, and is also 80m long.

so, now that we have established the "picture", we can use the law of sine to get all the other side lengths.

a/sin(A) = b/sin(B) = c/sin(C)

where the sides are always opposite of the correlated angles.

so, we know,

80/sin(90) = 80 = a/sin(30) = 2a = b/sin(60)

a = 80/2 = 40m (the connection from the point in the street to the top of the pole under 60°)

b = 80×sin(60) = 69.2820323... m (the connection from the point in the street to the top of the second pole under 30°).

now we use the same principle on the side lengths of the 2 side triangles. their Hypotenuses are the 2 sides we just calculated.

let's start with the one with the round number as Hypotenuse : 40m

40/sin(90) = street distance / sin(30) = 2× street distance

street distance = 40/2 = 20m

that means the street distance of the point in the street to the other pole is 80-20 = 60m

for the pole height(s) we now just use regular Pythagoras

c² = a² + b²

with c being the Hypotenuse.

40² = 20² + pole height²

1600 = 400 + pole height²

1200 = pole height²

pole height = 34.64101615... m

The sampling distribution of the sample proportion represents the probability distribution of all possible values that the sample proportion could take if we were to repeatedly take random samples from the population.

Based on the information given in the question, we know that the true proportion of employees who believe that the corporation is a great place to work is p = 0.80 (since 80% of the employees said that). Assuming that the sample size is sufficiently large (usually n ≥ 30), the central limit theorem tells us that the sampling distribution of the sample proportion is approximately normal, with mean μ = p and standard deviation

\(σ = \sqrt{} (p(1-p)/n)\)

The mean of the sampling distribution of the sample proportion is 0.80, and the standard deviation is

\( \sqrt{} (0.80 \times (1-0.80)/n)\)

If we take a random sample of size n = 100, for example, the standard deviation of the sampling distribution would be

\( \sqrt{} (0.80 \times (1-0.80)/100) = 0.040\)

The sampling distribution of the sample proportion provides important information about the variability of sample proportions that we could observe if we repeatedly took random samples from the population. Understanding this distribution can help us make more accurate inferences about the population based on the sample data.

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Answer:

The surface area of the cube is 1142.64 square yards.

The perimeter of the rectangle, when the area is maximized, is approximately 24.63 units. Therefore, correct option is a.

To maximize the area of the rectangle inscribed in the parabola \(y^2 = 16x\), we need to find the dimensions of the rectangle. Since the side of the rectangle is along the latus rectum of the parabola, we know that the length of the rectangle is equal to the latus rectum.

The latus rectum of the parabola \(y^2 = 16x\) is given by the formula 4a, where "a" is the distance from the focus to the vertex of the parabola. In this case, the focus is located at (4a, 0).

To find "a," we can equate the equation of the parabola to the general equation of a parabola in vertex form: \(y^2 = 4a(x - h)\), where (h, k) is the vertex of the parabola.

Comparing the two equations, we get:

4a = 16

a = 4

Therefore, the latus rectum of the parabola is 4a = 4 * 4 = 16 units.

Since the length of the rectangle is equal to the latus rectum, we have length = 16 units.

Now, to find the width of the rectangle, we need to determine the corresponding y-coordinate on the parabola for the given x-coordinate of the latus rectum. The x-coordinate of the latus rectum is half the length, which is 16/2 = 8 units.

Substituting x = 8 into the equation of the parabola, we get:

\(y^2 = 16(8)\\y^2 = 128\\y = \sqrt{128} = 11.31\)

Therefore, the width of the rectangle is approximately 11.31 units.

The perimeter of the rectangle is given by the formula:

Perimeter = 2(length + width)

Plugging in the values, we have:

Perimeter = 2(16 + 11.31)

Perimeter ≈ 2(27.31)

Perimeter ≈ 54.62

Rounding the perimeter to two decimal places, we get approximately 54.62 units, which is equivalent to 24.63 units.

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Answer:

No

Step-by-step explanation:

Because if red marble is drawn you will lose $5, and the red marble has the biggest number of all the marbles so there is a big probability for you lose $5

Answer:

The slope of a linear model can be calculated using the formula:

m = Δy / Δx

where:

Δy = change in y (the dependent variable, in this case, total cost)

Δx = change in x (the independent variable, in this case, number of candy bars)

This is essentially the "rise over run" concept from geometry, applied to data points on a graph.

In this case, we can take two points from the table (for instance, the first and last) and calculate the slope.

Let's take the first point (3 candy bars, $6.65) and the last point (25 candy bars, $48.45).

Δy = $48.45 - $6.65 = $41.8

Δx = 25 - 3 = 22

So the slope m would be:

m = Δy / Δx = $41.8 / 22 = $1.9 per candy bar

This suggests that the cost of each candy bar is $1.9 according to this linear model.

Please note that this assumes the relationship between the number of candy bars and the total cost is perfectly linear, which might not be the case in reality.

Answer:

It's - 28

Step-by-step explanation:

6*-7=-42-4=-28

Answer:

y is -46

Step-by-step explanation:

y= 6x -4 ....means

y =6 *x -4......so replace x with -7

y = 6*-7 -4

y=-42 -4

y= -46

A chart that compares three sets of values in a three-dimension chart is called surface.

A two-dimensional collection of points (flat surface), a three-dimensional collection of points with a curved cross section (curved surface), or the perimeter of any three-dimensional solid are all examples of surfaces in geometry.

A surface is typically a continuous boundary that separates two areas of a three-dimensional space. For instance, a sphere's surface divides its interior from its exterior, and a horizontal plane divides the half-planes above and below it. Despite the fact that regions they contain are three-dimensional and have a volume, surfaces are basically two-dimensional and have an area. Despite this, surfaces are frequently referred to by the names of the regions they surround. Differential geometry studies the characteristics of surfaces, particularly the concept of curvature.

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Answer:

The answer to the test is 1. B 2.C 3.B 4.A and this is one is C for the answer.

Answer:

1 - 3 (1 quarter is 25 and a dime is 10, so, 3.)

4 - 10

6 - 15

14 - 33

Step-by-step explanation:

Therefore, the expression that equals 3B - 3C in standard form is -21x² - 6x + 24.

In mathematics, an expression is a combination of numbers, variables, and operations that can be evaluated or simplified to obtain a single value or another expression. In algebra, expressions are often used to represent mathematical relationships or formulas, and can be manipulated using various algebraic techniques such as factoring, expanding, simplifying, and solving for unknown variables. Expressions are also used in calculus, probability theory, and many other branches of mathematics to describe mathematical models and relationships.

Here,

We can start by substituting the expressions for B and C into the expression for 3B - 3C and simplifying:

3B - 3C = 3(-3x - 7x²) - 3(-x² - 8 - x)

= -9x - 21x² + 3x² + 24 + 3x

= -21x² - 6x + 24

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Answer:

A

Step-by-step explanation:

I think

Answer:

i still see ur shadows in my room

Step-by-step explanation:

To my Aunt Sue,

I am grateful for the money you gave to me for my birthday. I have always known you have a generous heart and you will always have good things in life.

Your niece,

Abe.

The answer is False.

What is Probability ?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability was introduced in mathematics to predict how likely events are to occur.

The meaning of probability is basically the extent to which something is likely to happen. This is a basic theory of probability that is also used in probability distributions, where you learn the possibilities of outcomes for a random experiment.

To find the probability of a single event occurring, we should first know the total number of possible outcomes.

We can use the central limit theorem to approximate the distribution of the sample mean as normal, with a mean of μ = 70 and a standard deviation of σ/√n = 10/√4 = 5. Therefore, we need to find the probability of obtaining a sample mean greater than 65:

Z = (x - μ) / (σ/√n) = (65 - 70) / (5/2) = -2

Using a standard normal distribution table or calculator, we can find that the probability of obtaining a Z-score of -2 or less is approximately 0.0228.

Therefore, the probability of obtaining a sample mean greater than 65 is 1 - 0.0228 = 0.9772, which is not equal to 0.8413. So the statement is false.

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The monthly repayment on the following hire-purchase agreement is £22.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a colour TV costs £640. The deposit was £200. The interest rate was 10% p.a. and it was paid off in two years.

The monthly repayment will be calculated as,

Total interest for two years = ( 640 - 200 ) x 1.2

Total interest for two years = ( 440 x 1.2 )

Total interest for two years = £528

The value of monthly repayment = 528 / 24 = £22

Therefore, the monthly repayment on the following hire-purchase agreement is £22.

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Answer:

\(x=42\)

Step-by-step explanation:

Since we use the sides opposite and adjacent to the given angle, we will use the tangent ratio:

\(tangentX=\frac{opposite}{adjacent}\)

Insert the given values:

\(tanX=\frac{9}{10}\)

Since we need to find the angle, use the inverse:

\(x=tan^{-1}(\frac{9}{10})\)

Insert the equation into a calculator:

\(x=41.98721249\)

Round to the nearest tenth:

\(x=42.0\)

:Done

Answer:

it rounds to 42.0, using tangent

Step-by-step explanation:

give other person brainliest

Answer:

There are 10 cards in the stack, and 5 of them are odd (1, 3, 5, 7, and 9). There are 3 cards (1, 2, and 3) that are less than 4. Since we are replacing the first card before selecting the second, the outcomes are independent and we can multiply the probabilities of each event.

The probability of selecting an odd card on the first draw is 5/10, or 1/2.

The probability of selecting a card less than 4 on the second draw is 3/10, since there are 3 cards that meet this condition out of a total of 10.

Therefore, the probability of selecting an odd card on the first draw and a card less than 4 on the second draw is:

(1/2) x (3/10) = 3/20

So the probability of selecting an odd card on the first draw and a card less than 4 on the second draw is 3/20.

Step-by-step explanation:

Answer:

3/20.

Step-by-step explanation:

To find the probability of two independent events happening together, we multiply their individual probabilities. The probability of the first card being an odd number is 5/10, because there are 5 odd numbers out of 10 cards. The probability of the second card being less than 4 is 3/10, because there are 3 cards (1, 2, and 3) that are less than 4 out of 10 cards. Therefore, the probability of the first card being an odd number and the second card being less than 4 is:

5/10 x 3/10 = 15/100

We can simplify this fraction by dividing both the numerator and denominator by 5:

15/100 = 3/20

So, the final answer is 3/20.

Received message. To find the probability of two independent events happening together, we multiply their individual probabilities. The probability of the first card being an odd number is 5/10, because there are 5 odd numbers out of 10 cards. The probability of the second card being less than 4 is 3/10, because there are 3 cards (1, 2, and 3) that are less than 4 out of 10 cards. Therefore, the probability of the first card being an odd number and the second card being less than 4 is: 5/10 x 3/10 = 15/100 We can simplify this fraction by dividing both the numerator and denominator by 5: 15/100 = 3/20 So, the final answer is 3/20.

Since the value of y varies directly with x, the ratio of y to x is always constant. We can set up the proportion:

y/x = 18/12

Then we can solve for y by cross multiplying:

y = (18/12)x

= (3/2)x

= (3/2)(60)

= 90

So when x = 60, y = 90.

Answer:

ok what's the question

Answer:

C

Step-by-step explanation:

hope this helps

\(\huge\text{Hey there!}\)

\(\mathsf{25c^2: 1,5,25,c,\& \ c}\)

\(\mathsf{10w^2: 1,2,5,10,w,\& \ w}\)

\(\large\textsf{GCF: \underline{5} because that is the HIGHEST factor both numbers share}\\\large\textsf{together}\)

\(\boxed{\boxed{\large\textsf{Answer: the \bf GCF (\underline{G}reatest \underline{C}ommon \underline{F}actor) is \huge 5}}}\huge\checkmark\)

\(\large\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

a. octagon

b.  (9x + 15) = 24

c. 24 because all of the sides are equal

Step-by-step explanation:

You add the x values together and the other together to get (9x + 15) which is 24

To solve this problem, we need to first draw a diagram of the triangle and rectangle. Let the two legs of the triangle be of length x units. Since the triangle is right isosceles, we know that x^2 + x^2 = 7^2 (by the Pythagorean theorem). Simplifying, we get x = 7/√2 units.

Now let's draw the rectangle inscribed in the triangle such that two opposite corners of the rectangle lie on the hypotenuse of the triangle. Let the length of the rectangle be l and the width be w. We know that the sum of the two legs of the triangle is equal to the hypotenuse (x + x = 7/√2). Therefore, the sum of the dimensions of the rectangle must also be equal to the hypotenuse. So, we have l + w = 7/√2.

We want to maximize the area of the rectangle, which is given by A = lw. Using the equation l + w = 7/√2, we can solve for one of the variables in terms of the other. For example, we can solve for w to get w = 7/√2 - l. Substituting this into the formula for the area, we get A = l(7/√2 - l).

Now we can use calculus to find the maximum value of the area. Taking the derivative of A with respect to l, we get dA/dl = 7/√2 - 2l. Setting this equal to zero and solving for l, we get l = 7/2√2 units. Plugging this value of l back into the formula for the area, we get A = 49/8 square units.

Therefore, the largest area the rectangle can have is 49/8 square units when the length of the rectangle is 7/2√2 units and the width is also 7/2√2 units. This occurs when the rectangle is a square inscribed in the right isosceles triangle.

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Answer:

-1/2

Step-by-step explanation:

y2 - y1 / x2 - x1

-5 - (-1) / 5 - (-3)

-4/8

= -1/2

The print you specifically described is entitled "No se puede saber por qué" (translated as "One cannot know why") in Spanish.

Goya mocks the many superstitions and illogical ideas that were pervasive in Spanish culture at the time in this print. A crowd is gathered around a fortune teller who is looking into a crystal ball in the picture. The people are portrayed in a variety of excited and anxious states, indicating their readiness to accept the fortune teller's predictions in the face of a lack of proof or logic.

Even in modern times, the topic of irrational beliefs and superstitions persists, albeit it may take many forms depending on the culture or civilization. For instance, despite the fact that there is little scientific proof to back up their claims, some people continue to turn to astrology, psychics, or alternative medicine. Similar to this, false information and conspiracy theories are still proliferating quickly in the social media age, feeding irrational views and mistrust of authorities and organizations.

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