A C B D E Which statement cannot be assumed from the figure? OA A ZABD and ZDBE are supplementary OB BD bisects ZADE. Oc LCDA and ZADE are complementary. OD ZEDB and ZBDA are adjacent and are not complementary.​

Answer:

3

Step-by-step explanation:

The co-ordinates of the smaller and larger triangles are 4,5 3,2 & 6,3 and 12,15 9,6 18,9

To find out dilation factor,

Co-ordinates of smaller triangles* dilation factor=co-ordinates of

larger triangles(or use (kx,ky) where k is the dilation factor and x and y are the co-ordinates)

(4,5) (3,2) (6,3)k=(12,15) (9,6) (18,9)

Equate and solve,

k=(12,15) (9,6) (18,9)/(4,5) (3,2) (6,3)[Informal]

k=3

(a) The mean of Z in case (a) is -60 and the variance is 400.

(b) The mean of Z in case (b) is 280 and the variance is 3600.

(c) The mean of Z in case (c) is 60 and the variance is 65.

(d) The mean of Z in case (d) is -20 and the variance is 65.

(e) The mean of Z in case (e) is 80 and the variance is 505.

To find the mean and variance of the random variable Z for each case, we can use the properties of means and variances.

(a) Z = 40 - 5X

Mean of Z:

E(Z) = E(40 - 5X) = 40 - 5E(X) = 40 - 5 * 20 = 40 - 100 = -60

Variance of Z:

Var(Z) = Var(40 - 5X) = Var(-5X) = (-5)² * Var(X) = 25 * Var(X) = 25 * (4)² = 25 * 16 = 400

Therefore, the mean of Z in case (a) is -60 and the variance is 400.

(b) Z = 15X - 20

Mean of Z:

E(Z) = E(15X - 20) = 15E(X) - 20 = 15 * 20 - 20 = 300 - 20 = 280

Variance of Z:

Var(Z) = Var(15X - 20) = Var(15X) = (15)² * Var(X) = 225 * Var(X) = 225 * (4)² = 225 * 16 = 3600

Therefore, the mean of Z in case (b) is 280 and the variance is 3600.

(c) Z = X + Y

Mean of Z:

E(Z) = E(X + Y) = E(X) + E(Y) = 20 + 40 = 60

Variance of Z:

Var(Z) = Var(X + Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65

Therefore, the mean of Z in case (c) is 60 and the variance is 65.

(d) Z = X - Y

Mean of Z:

E(Z) = E(X - Y) = E(X) - E(Y) = 20 - 40 = -20

Variance of Z:

Var(Z) = Var(X - Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65

Therefore, the mean of Z in case (d) is -20 and the variance is 65.

(e) Z = -2X + 3Y

Mean of Z:

E(Z) = E(-2X + 3Y) = -2E(X) + 3E(Y) = -2 * 20 + 3 * 40 = -40 + 120 = 80

Variance of Z:

Var(Z) = Var(-2X + 3Y) = (-2)² * Var(X) + (3)² * Var(Y) = 4 * 16 + 9 * 49 = 64 + 441 = 505

Therefore, the mean of Z in case (e) is 80 and the variance is 505.

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Answer:

No, The domains of a same number are said twice.

Step-by-step explanation:

If it is the range (y) it doesn't matter twice or not.

Answer:

The given relation is not a function.

Step-by-step explanation:

Given the relation: {(3,2) (8,16) (13,8) (14,14) (20,5) (24,8) (27,2) (31,6) (31,3)}

A relation is any set of ordered pairs, which can be thought of as (input, output).

A function is a relation in which no two ordered pairs have the same first component (x-values or input) and different second components (y-values or output).

Another way to find out whether a relation or a set of given points represent a function through the Vertical Line Test.  If a vertical line intersects the graph in all places at exactly one point, then the relation is a function.

To use the vertical-line test, imagine dragging a ruler held vertically across the  graph from left to right. If the graph is that of a function, the edge of the ruler would hit the graph only once for every x -value. If you do this for the given set of points, every vertical line intersects the graph in at most one point, except for the x-value = 31, where the vertical line contains two points (in red dots) in it:  (31,6) and (31,3).  The given graph fails the Vertical Line Test, which means that it is not a function.

Attached is a screenshot of the graph where I performed the Vertical Line Test.  

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Answer:

6 and 2 this is the answer my child.

(a) Chloe's budget constraint can be written as:

Pₓx + Pᵧy = I

where Pₓ is the price of books, Pᵧ is the price of video games, and I is Chloe's income.

(b) The Marginal Rate of Substitution (MRS) at an arbitrary bundle (x, y) can be calculated by taking the partial derivative of the utility function U(x, y) = xy² with respect to x and dividing it by the partial derivative of U(x, y) with respect to y. Mathematically, it is given by:

MRS = (∂U/∂x) / (∂U/∂y) = (y²) / (2xy) = y / (2x)

(c) To find Chloe's demand for books and video games for any possible values of Pₓ, Pᵧ, and I, we need to maximize her utility subject to the budget constraint. We can set up the following optimization problem:

Maximize U(x, y) = xy²

subject to the budget constraint Pₓx + Pᵧy = I

Solving this problem will give us the demand equations for books and video games, which represent Chloe's optimal choices given the prices and her income.

(d) The expenditure on books (Eₓ) can be calculated by multiplying the demand for books (x) by the price of books (Pₓ). Similarly, the expenditure on video games (Eᵧ) can be calculated by multiplying the demand for video games (y) by the price of video games (Pᵧ). Therefore:

Eₓ = Px * x

Eᵧ = Pᵧ * y

(e) If Chloe's utility function is U(x, y) = (x + 5)y² and her income (I) is $15, the price of books (Pₓ) is $3, and the price of video games (Pᵧ) is $5, we can use the optimization problem to find her demand for books and video games. By maximizing U(x, y) subject to the budget constraint, we can find the values of x and y that yield the highest utility.

(f) Continuing from the previous question, if Chloe's utility function is U(x, y) = (x + 5)y² and her income (I) is $15, the price of books (Pₓ) is $5, and the price of video games (Pᵧ) is $5, we can again use the optimization problem to find her demand for books and video games. By maximizing U(x, y) subject to the budget constraint, we can determine the values of x and y that maximize her utility given the prices and income.

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The temperature was 48° at least once throughout the day as the temperature rises from 43° to 56° and 43° < 48° < 56° .  

The temperature was 43° at 3 PM and it rises to 56°  at 7.30 PM.

So we know that the rise of temperature in linear , hence the temperature will follow the rule of real numbers. Hence the temperature will increase through all the possible numbers between 43 and 56

Again 43° < 48° < 56°  , so at least once the temperature will be 48 ° .

You can think about integers as either independent objects or as a tool for problem-solving. The study of analytical objects (such as the Riemann zeta function) that somehow encode features of integers, primes, or any other number-theoretic objects is often the best method for understanding number theory issues (analytic number theory).

Most people refer to number theory as arithmetic. By the turn of the 20th century, "numerical theory" had taken its place.  (The term "arithmetic" is usually used to refer to "elementary computations," but it has come to signify more concepts in mathematical logic and computer technology, such as floating-point arithmetic.)

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Answer:

There is infinitely many ratios which are equivalent to 5:9. As we know always we can write divide as fraction, so . We can multiply nominator and denominator by the any number (but the same) and get another numbers but ratio will be the same, so equivalent.

For example

10:18,

15:27

Step-by-step explanation:

The length of the movie screen at the local cinema is 37188552  feet.

Let's assume the width of the rectangle movie screen is represented by 'w' feet. According to the given information, the length of the screen is 303030 feet longer than the width. Therefore, the length can be expressed as 'w + 303030' feet.

The perimeter of a rectangle is given by the formula: 2(length + width). In this case, the perimeter of the movie screen is 148148148 feet. We can set up the equation as follows:

2(w + (w + 303030)) = 148148148.

Simplifying the equation, we have:

2(2w + 303030) = 148148148.

4w + 606060 = 148148148.

4w = 147542088.

Dividing both sides by 4, we get:

w = 36885522.

Therefore, the width of the screen is 36885522 feet. Since the length is 303030 feet longer than the width, we can calculate the length as:

Length = Width + 303030 = 36885522 + 303030 = 37188552 feet.

Hence, the length of the movie screen is 37188552  feet.

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Answer:

12x + 4

Step-by-step explanation:

multiply and distribute 4 on each number in the ()

so (4 x 3x) + (4 x 1) = 12x + 4

Ok, we have:

Since the absolute value will always return a possitive value no matter what sign the number has inside it, we will have that the graphs of both functions won't be equal.

The first function will have parts in the negative quadrants, but the second function will always be located in the possitive quadrants.

Answer:

Step-by-step explanation:

1.step. i^25^i

2.step. Rewrite (i^4)6^i=i^4

3.step. Rewrite (i^2)^2

4.step. ((i^2)^2)^6i

5.step. i^2 as -1

6.step. ((-1)^2)^6i

7.step. Raise −1 to the power of 2

i^6i

8.step.One to any power is one.

i1

9.step.Multiply i by 1.

ix1=i

The probability that a five-card poker hand does not contain the queen of hearts is 47/52.

We have been given that,

Total card to choose = 5

Total cards in a deck = 52

We need to find the probability that a five-card poker hand does not contain the queen of hearts.

The total ways of choosing 5 cards from a deck of 52 cards = \(^{52}C_5\)

The number of queens of hearts in a deck = 1

The number of cards excluding queens of hearts = 52 - 1

                                                                                  = 51

The total ways of choosing 5 cards from 51 cards = \(^{51}C_5\)

Now we find the required probability.

\(\Rightarrow P= ^{51}C_5 \times ^{52}C_5\\\\\Rightarrow P=\frac{51!}{5!(51-5)!} ~\times \frac{52!}{5!(52-5)!}\\\\\Rightarrow P=\frac{47}{52}\)

Therefore, the probability that a five-card poker hand does not contain the queen of hearts is 47/52.

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A compound event is any event combining two or more simple events.

From the question, we have the following parameters that can be used in our computation:

combining two or more simple events.

As a general rule

When two or more simple events are combined, the result is a compound event

An example is selecting 1 in a die and head in a coin

This means that the statement that completes the blank is compound event

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Answer:

<QRS = 55 degrees

Step-by-step explanation:

Given the following

m∠QRS=(10x−1) ∘

∠RPQ=(3x+17) ∘

m∠PQR=(2x+12)

External angle m<QRS = 10x-1

Interior angles are m∠RPQ=(3x+17) ∘ and m∠PQR=(2x+12)

Using the law that the sum of interior angle is equal to exterior

10x + 1 = 3x+17 + 2x + 12

10x+1 = 5x+29

10x-5x = 29-1

5x = 28

x = 28/5

x = 5.6

Get m<QRS

Recall that <QRS = 10x - 1

<QRS = 10(5.6) - 1

<QRS = 56-1

<QRS = 55 degrees

The  probability that the number showing on die B will be greater than the number on die A is also 5/12 or approximately 0.417.

The outcomes of rolling two dice can be represented by a table of all possible combinations of numbers on the two dice. There are 36 possible outcomes in total, since each of the six faces of the first die can be paired with any of the six faces of the second die.

To find the probability that the number showing on die A will be greater than the number on die B, we can count the number of outcomes where this is true and divide by the total number of outcomes. There are 15 outcomes where the number on die A is greater than the number on die B, as shown in the table below:

| Die A | Die B |
|-------|-------|
|   2   |   1   |
|   3   |   1   |
|   4   |   1   |
|   3   |   2   |
|   4   |   2   |
|   5   |   1   |
|   5   |   2   |
|   4   |   3   |
|   5   |   3   |
|   6   |   1   |
|   6   |   2   |
|   5   |   4   |
|   6   |   3   |
|   6   |   4   |
|   6   |   5   |

Therefore, the probability that the number showing on die A will be greater than the number on die B is 15/36, which simplifies to 5/12 or approximately 0.417.

Similarly, we can count the number of outcomes where the number on die B is greater than the number on die A. There are also 15 such outcomes, as shown in the table above. Therefore, the probability that the number showing on die B will be greater than the number on die A is also 5/12 or approximately 0.417.

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Answer: $48.23

Step-by-step explanation:

The sales tax would be $2.73

Answer:

$ 48.23

Step-by-step explanation:

Lmk if its correct <3 Hope my answer helped, and have an amazing day :)

Answer:

15.14%

Step-by-step explanation:

The formula for APR is stated thus:

APR=fees+interest/principal/n*365*100

principal is the loan amount of $700

fees is the processing fees on the loan which is $50

interest amount=principal*interest %=$700*8%=$56

n is the number of days of the loan which is a year i.e 365 days

APR=($50+$56)/$700/365*365*100

APR=$106/$700/365*365*100

APR=0.151428571 /365*365*100

APR=0.151428571 *100=15.14%

The annual percentage rate on the loan is 15.14% which represents the actual cost on the loan not just the interest cost of 8% annually

If the value exceeds\($0.200$\) by the tolerance of \($0.020$\) on either side, a repair cost of \($\$150$\)is incurred.

\($L(x) = 150(x - T)$\) option b.

The Taguchi loss function measures the cost or loss associated with deviations from a target value in a quality characteristic.

In this case, the specification for the quality characteristic is \($0.200 \pm 0.020$\).

If the value exceeds \($0.200$\) by the tolerance of \($0.020$\)on either side, a repair cost of $\$150$ is incurred.

Based on this information, the Taguchi loss function for this example is given by:

b.\($L(x) = 150(x - T)$\)

In the given options, option b represents the correct Taguchi loss function. The loss function is a linear function where the loss increases linearly with the deviation from the target value.

The coefficient of \($150$\) represents the cost of repair per unit deviation.

This loss function is appropriate for the given scenario as it accurately captures the cost associated with deviations from the target value.

The Taguchi loss function provides a quantitative measure to assess the impact of variations in the quality characteristic and helps in making decisions regarding process improvement and optimization.

In this case, it allows for evaluating the cost implications of exceeding the specified tolerance and guides decision-making on whether repairs are necessary based on the associated costs.

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The truth value of the given proposition is "false".

The truth value of the given proposition can be evaluated using the following steps:

Convert the binary representation of the numbers to decimal:

0 = 0

~1 = -1 (invert the bits of 1 to get -2 in two's complement representation and add 1)

10 = 2

Apply the comparison operator "=" between the left and right sides of the equation:

(0 = -1) = 2

Evaluate the left side of the equation, which is false, because 0 is not equal to -1.

Evaluate the right side of the equation, which is true, because 2 is a nonzero value.

Apply the comparison operator "=" between the results of step 3 and step 4, which yields:

false = true

Therefore, the truth value of the given proposition is "false".

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23.5 days must elapse for a sample of 239np to decay to 0.100% of its original quantity.

Given is the equation for radioactive decay.

N equals N0exp(-λt). We have to determine the λ decay constant.

λ= -(lnN/N0)/t where t = Neptunium-239's half-life, 2.35 days,

and N/N0 = 1/2 where N = Amount of Neptunium-239 after half-life,

and N0 = Amount of Neptunium-239 at the beginning.

Consequently,

λ = (-ln(1/2))/2.35 = 0.294/day.

Neptunium-239 will now degrade to 0.100% of its original value.

N/N₀ × 100 % = 0.100%

N/N₀ = 0.100/100

N/N₀ = 0.001

We calculate the time it takes for Neptunium-239 to decay to this value using the equation for radioactive decay. Making t the formula's subject,

-(lnN/N0)/ = -(ln(0.001))/0.294/day.=  23.5 days

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Answer:

(-5 + 4, -3 - 3)

Step-by-step explanation:

"4 units to the right" requires ADDING 4 to the x-coordinate of (-5, -3):

(-5 + 4, -3).

"3 units down" requires SUBTRACTING 3 from the y-coordinate:  

(-5 + 4, -3 - 3), or (if simplified) (-1, -6)

Answer: 11.2 inch

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

If given lines are parallel, their slope must be equal. Therefore, the slope of the red line is also -2.

Answer:

Step-by-step explanation:

dddfykb

Answer:

b=sqrt7

Step-by-step explanation:

16=9+b^2