Please help I don't understand!

The probability that while you are blindfolded, you tag your sister, brother, and friend is 1 / 21C3, and the probability that you tag your sister as the "goat," your brother as the "donkey," and your friend as the "sheep" is also 1 / 21C3.

a. Probability that while you are blindfolded, you tag your sister, brother, and friend can be calculated as follows:

Step 1: Total number of ways you can tag three people from 21 people = 21C3.

Step 2: Total number of ways you can tag your sister, brother and friend from 21 people = 1 * 1 * 1 = 1

Step 3: Required probability = (Number of ways to tag your sister, brother and friend) / (Number of ways to tag any 3 people from 21 people)= 1 / 21C3

b. Probability that you tag your sister as the "goat," your brother as the "donkey," and your friend as the "sheep" can be calculated as follows:

Step 1: Total number of ways you can tag three people from 21 people = 21C3

Step 2: Total number of ways you can tag your sister, brother and friend such that sister is the "goat," brother is the "donkey," and your friend is the "sheep"= 1 * 1 * 1 = 1

Step 3: Required probability = (Number of ways to tag your sister as "goat", your brother as "donkey" and your friend as "sheep") / (Number of ways to tag any 3 people from 21 people)= 1 / 21C3

Therefore, the probability that while you are blindfolded, you tag your sister, brother, and friend is 1 / 21C3, and the probability that you tag your sister as the "goat," your brother as the "donkey," and your friend as the "sheep" is also 1 / 21C3.

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Answer:

226.08 yd 3

Step-by-step explanation:

Answer:

226.08 yd 3

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a) Marginal probability distributions for X and Y are: X 1 2 P(y) Y 0 0.30 0.10 1 0.40 0.20 P(x) 0.50 0.50 and b) Corr(X,Y) = -1.68 and c) Var(W) = -0.34

a) Marginal probability distributions for X and Y are: X 1 2 P(y) Y 0 0.30 0.10 1 0.40 0.20 P(x) 0.50 0.50

b) The covariance and correlation for X and Y are:

Cov(X,Y)= E(XY) - E(X)E(Y)

Cov(X,Y)= (1 * 0 + 2 * 0.3 + 1 * 0.1 + 2 * 0.2) - (1 * 0.5 + 2 * 0.5)(0 * 0.5 + 1 * 0.4 + 0 * 0.1 + 1 * 0.2)

Cov(X,Y)= (0 + 0.6 + 0.1 + 0.4) - (0.5 + 1) (0.4 + 0.2)

Cov(X,Y)= 0.12 - 0.9 * 0.6

Cov(X,Y)= 0.12 - 0.54

Cov(X,Y)= -0.42

Corr(X,Y)= Cov(X,Y)/σxσyσxσy

= √[∑(x-µx)²/n] × √[∑(y-µy)²/n]σxσy

= √[∑(x-µx)²/n] × √[∑(y-µy)²/n]σx

= √[∑(x-µx)²/n]

= √[(0.5 - 1.5)² + (0.5 - 0.5)² + (0.5 - 1.5)² + (0.5 - 1.5)²]/2σx

= 0.50σy

= √[∑(y-µy)²/n]

= √[(0 - 0.5)² + (1 - 0.5)²]/2σy

= 0.50

Corr(X,Y) = Cov(X,Y)/(0.50 * 0.50)

Corr(X,Y) = (-0.42)/0.25

Corr(X,Y) = -1.68

c) The mean and variance for the linear function W = X + Y are:

Hw = E(W)

Hw = E(X + Y)

Hw = E(X) + E(Y)

Hw = 1.5 + 0.5

Hw = 2

Var(W) = Var(X + Y)

Var(W) = Var(X) + Var(Y) + 2Cov(X,Y)

Var(W) = 0.25 + 0.25 - 2(0.42)

Var(W) = 0.50 - 0.84

Var(W) = -0.34

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Answer:

-8

64,−8→Negative

8x8=64

64/8=8

−8

(a) The value of the function f.g(x) = f(x²+9) = (x²+9)²
(b) The value of the function g.f(x) = g(x²) = x⁴+9
(c) The value of the function f.f(x) = f(x²) = (x²)²
(d) The value of the function g.g(x) = g(x²+9) = (x²+9)²+9

Domains of each:
(a) All real numbers
(b) All real numbers
(c) All real numbers
(d) All real numbers

For composite functions, you insert the second function into the first function.

(a) f.g(x) = f(g(x)) = f(x²+9) = (x²+9)²
(b) g.f(x) = g(f(x)) = g(x²) = x⁴+9
(c) f.f(x) = f(f(x)) = f(x²) = (x²)²
(d) g.g(x) = g(g(x)) = g(x²+9) = (x²+9)²+9

The domain of a function is the set of input values for which the function is defined. Since all these composite functions are polynomial functions, they are defined for all real numbers.

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Answer:

Yes, the runners number of strides will fit evenly into the length of the race.

Step-by-step explanation:

The bridge is 138,435 feet. You would divide this to get 46,145 as a whole number.

Answer:

Step-by-step explanation:

You are dividing 138435 by 3.

The quotient would be 46145 with no remainder. So the answer would be yes.

A 2nd way to do this is to see if 183435 is a multiple of 3.

Hope this helps!

Have a great day!

Given the trigonometry equation expressed as;

We are to simplify for the value(s) of 'x"

Recall from trigonometry identity that:

Substitute the result into the original equation to have:

Solve for the value of "x"

The general solution to the given trigonometry function is:

Answer: d.) 15 feet

Step-by-step explanation:

The figure is a rectangle (parallelogram), and diagonals in rectangles are congruent (equal). If one diagonal is 15, then the other must also be 15.

the missing value (3,7),(8, y) is y = 21/8

Inverse functions are those that cancel one another out. In other words, if g(x) is f's inverse, then f(g(x)) = g(f(x)) = x. (x). Given an equation for which we want the inverse, we have a fantastic method we can utilize to do this.

Not every function has a counterpart. If f(x) has an inverse, it is clear to see that it will never again have the same value. We give this resource a special name.

Inverse variation is y = k. 1/x

given y = 7

x = 3

So, 7 = k. 1/3

So, the value of k = 21

We can conclude that the value of constant variation is 21

when x = 8, the value of y will be -

y = k.1/x

y = 21 . 1/8

y = 21/8

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Answer:

$3 because if they are having a product at 4 dollars and lose a Dollar for ever one sold then $4-$1 = $3

Answer:

9

Step-by-step explanation:

there are 3 atoms in one co2 molecule. 3 x 3=9

Answer:

in three molecules of CO2 there are:

3 Carbon Atoms and 6 Oxygen Atoms

If your looking for the atoms in ONE molecule then there is:

One Carbon Atom and Two Oxygen Atoms

Answer:

i dont know if this is the answer u want

4+(7*8)=x

x= 60

Step-by-step explanation:

Answer:

289m²

Step-by-step explanation:

Area of circle =πr²=π×17²=289m² when r=radius =17m

Answer:

A and B is the correct answer

Step-by-step explanation:

Answer:

$1582

Step-by-step explanation:

cost of each kg 904/8=113

cost of 14 kg 113x14=1582

the cost of 14 kg of butter is $1582

After factorizing the expression 72a⁹b³-18a⁷b⁵completely we get the value of a and b will be ±1 and ±2.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that,

⇒72a⁹b³-18a⁷b⁵=0  ------(1)

We have to factor in the expression,

⇒72a⁹b³-18a⁷b⁵=0

Take 18a⁷b³ as common,

⇒18a⁷b³(4a²-a²b²)=0

⇒18a⁷b³=0

⇒(4a²-a²b²)=0

⇒4a² = a²b²

⇒b²=4

⇒b=±2

Substitute the value of b in equation 1 we get,

72a⁹b³-18a⁷b⁵=0  

72a⁹(2)³-18a⁷(2)⁵=0

576a⁹-576a⁷=0

a²=1

a=±1

Thus, after factorizing the expression 72a⁹b³-18a⁷b⁵completely we get the value of a and b will be ±1 and ±2.

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In probability theory, a Venn diagram is a diagrammatic representation of sets that shows all possible logical relations between them. Venn diagrams are widely used in probability and statistics to visualize the relationship between different sets of data.

The given Venn diagram shows the relationship between three sets, A, B, and C. In order to calculate probabilities using a Venn diagram, we need to know the number of elements or members in each set, as well as any overlapping regions.

We can then use these numbers to calculate the probability of different outcomes.Let's consider two possible probabilities from the given Venn diagram:1.

The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22. The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3The first probability can be calculated by dividing the number of elements in the overlapping region of sets A and B (which is 0.1) by the total number of elements in set B (which is 0.5).

This gives us a probability of 0.22 or 22%.The second probability can be calculated by dividing the number of elements in the union of sets B and C (which is 0.2) by the total number of elements in either set B or set C (which is 0.6). This gives us a probability of 1/3 or approximately 33%.

Therefore, the correct probabilities are:1.

The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22.

The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3

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Answer:

73%

Step-by-step explanation:

/ means divide

you divide the total by those who showed up

27/37 = .7297 = around .73 = 73%

Answer:

when I did it i got 44 units i dont know why

Step-by-step explanation:

I picked the other one but it said it was wrong?

the radius of the circle is 30 cm when the circumference is 188.4 . The length of the boundary is its circumference.

A boy has traveled a certain distance if, after sprinting around the park once, he arrives at point "A" from point "A" in the first place. The park's circumference, which has the shape of a circle, is the length or border that it encompasses. The length of the boundary is its circumference.

calculation

Circumference=2πr

188.4=2×3.14×r

188.4=6.28×r

r= 188.4/6.28

radius=30cm

the radius of circle is 30 cm when the circumference is 188.4 .

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the volume of the prism is 3000 cubic meters

Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m3), a derived unit, is the SI unit of volume. Volume is another word for capacity.

Given a prism, to calculate the volume of the given prism we need to slice it into three pieces

From the general formula of the Volume of the cuboid:

volume = height * base * width

For the first piece:(base one)

Volume = 5 * 15 *20

Volume = 1500 cubic meters

For the second piece: (Left one)

Volume = 10 * 5 *20

Volume = 1000 cubic meters

For the third piece:(right one)

Volume   = 5* 5*20

Volume = 500

thus,

the final value = 500 +1500 + 1000

Volume = 3000 cubic meters

Therefore, the volume of the prism is 3000 cubic meters

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The divergence theorem states that the surface integral of the divergence of a vector field over a closed surface is equal to the triple integral of the divergence of the vector field over the volume enclosed by the surface

we are given the vector field F = (11x, 2y, \(z^{2}\)) and the surface S defined by the equation \(x^2 + y^2 + z^2\)= 1, which represents a unit sphere.

To evaluate the surface integral ∬S F · ds using the divergence theorem, we first need to calculate the divergence of the vector field F. The divergence of F, denoted as ∇ · F, is given by the sum of the partial derivatives of the components of F with respect to their corresponding variables. Therefore, ∇ · F = ∂(11x)/∂x + ∂(2y)/∂y + ∂(z^2)/∂z = 11 + 2 + 2z.

Applying the divergence theorem, the surface integral ∬S F · ds is equal to the triple integral ∭V (∇ · F) dV, where V represents the volume enclosed by the surface S.

Since the surface S is a unit sphere centered at the origin, the triple integral ∭V (∇ · F) dV can be evaluated by integrating over the volume of the sphere.

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According to the question The local sidereal time (LST) at noon on March 21st is approximately 12:00 (option c).

To determine the LST, we need to consider the rotation of the Earth and its relation to the stars. LST is based on the apparent motion of the vernal equinox, which completes a full cycle in approximately 24 hours.

Since noon is halfway through the day, we can estimate that the LST at noon would be approximately half of 24 hours, which is 12:00. This assumes that we are considering a location where the local time is synchronized with the standard time zone and there are no factors like daylight saving time or variations in the location's longitude that can affect the LST calculation.

Therefore, the correct answer is option c) 12:00 local sidereal time.

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Answer:

A

Step-by-step explanation:

Because it would be how many adults times 36. And how many ever children times 15. And that total would be equal to $234

Answer:

Yes this cleaner would be recommend.

Step-by-step explanation:

This cleaner would be recommend because it kills 0.999% of germs and when they mean 0.999% it rounds up to 1% = 100% so that will mean that 0.999% of the germs will be killed.

To be understood the 1% is equal to = 100% but just has no zeros. So this will mean that the 0.999% would be almost equal too 100%

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A discrete random variable cannot be treated as continuous even when it has a large range of values because they represent distinct, separate values rather than an unbroken range.

Discrete variables are typically expressed as whole numbers, while continuous variables can take on any value within a specified interval.Treating a discrete variable as continuous may lead to inaccuracies and misinterpretation of data. A discrete random variable is characterized by a finite or countably infinite set of possible values, whereas a continuous random variable can take on any value within a given range. Thus, even if a discrete random variable has a large range of values, it cannot be treated as continuous because it can only assume a limited number of specific values.

For example, the number of heads obtained in 10 coin flips is a discrete random variable with possible values ranging from 0 to 10, but it cannot take on non-integer values such as 3.5. In contrast, the time it takes for a car to travel a certain distance is a continuous random variable that can take on any value within a certain range, including non-integer values. Therefore, it is important to distinguish between discrete and continuous random variables in statistical analysis and modeling.

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The required value of V for the given equation is 115.34

What is a simple equation?

A simple equation is a mathematical formula that, on both sides of the "equal to" sign, expresses the relationship between two expressions. It primarily consists of a variable, sometimes with a numerical constant in addition. There cannot be a simple equation without a variable. A known, fixed quantity that is used in a straightforward equation is referred to as a constant.

Given an expression, V/7.9 equals 14.6

or, V/7.9 = 14.6

or, V = 14.6*7.9

or, V = 115.34

Hence, the required value of V is 115.34

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