A compound event may consist of two dependent events.
A. True
B. False

The point (5, 10) has not been translated in the given figure.Hence this statement is false.

The graph shows five points.

A point has been translated right and up.

Now, the statements that are true based on the graph are as follows:

The point (9, D) has been translated right and up.Answer: False

There is no information given about point (9, D).

So, we cannot say anything about the translation of point (9, D).

The point (1, 8) has been translated right and up.Answer: True

As explained above, the point (1, 8) has been translated 7 units to the right and 2 units up to get the new point (8, 10). So, this statement is true.

The point (2, 9) has been translated right and up.Answer: False

The point (2, 9) has not been translated in the given figure.

So, this statement is false.

Statement 4: The point (8, B) has been translated right and up.Answer: True

The point (8, B) has been translated 1 unit up in the given figure. So, this statement is true.

The point (5, 10) has been translated right and up.Answer: False

The point (5, 10) has not been translated in the given figure.

So, this statement is false.

For more questions on translated:

https://brainly.in/question/33380281

#SPJ8

To evaluate the integral by reversing the order of integration, we first need to draw the region of integration. From the given limits of integration, we can see that the region is a rectangle with vertices at (0,4), (0,12), (11,4), and (11,12).

Now, we can reverse the order of integration by integrating with respect to y first, and then x. The new limits of integration will be y = 4 to y = 12 and x = 0 to x = 11e^(2y/3).

So, the new integral will be:

∫(0 to 11) ∫(4 to 12) 3y e^(2x/3) dy dx

We can evaluate this integral using integration by parts. Integrating with respect to y gives us:

∫(0 to 11) [3y^2/2 e^(2x/3)] from y = 4 to y = 12

Simplifying this expression gives us:

∫(0 to 11) [36e^(2x/3) - 6e^(8x/3)]/2 dx

Now, integrating with respect to x gives us:

[27e^(2x/3) - 9e^(8x/3)] from x = 0 to x = 11

Substituting these values and simplifying gives us the final answer:

(27e^22/3 - 9e^88/3) - (27 - 9) = 27e^22/3 - 9e^88/3 - 18

To know more about integration visit:

https://brainly.com/question/31744185

#SPJ11

Answer:

d(t) has infinite range assuming the space station doesn't experience any complications

Step-by-step explanation:

problem doesn't say how long it is in orbit

Answer:

-------------------------

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

The probability of getting a green marble first and a red marble second exists 5/26.

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given: Red marbles = 3

Green marbles = 10

So, the total marbles = 3 + 10 = 13

Probability = Favorable outcomes  / Total outcomes

Since, here replacement is not allowed,

Therefore, the probability of getting a green marble and a red marble

= first red and second green + first green second red

= 3/13 × 10/12+ 10/13 × 3/12

= 2 × 3/13 × 10/12

= 30/78

= 5/13

The probability of getting a green marble first and a red marble second

= 10/13 × 3/12

= 30/156

= 5/26

Therefore, the probability of getting a green marble first and a red marble second exists 5/26.

To learn more about probability refer to:

https://brainly.com/question/13604758

#SPJ4

2y = 2y. As the two partial derivatives are equal, the curl of the vector field F is zero. Therefore, F is a conservative vector field.

Based on the given vector field F(x, y) = (y^2 - 2x)i + 2xyj, we can determine whether or not F is a conservative vector field by checking if it satisfies the conditions for being conservative.

A vector field is conservative if its curl is zero, meaning that the partial derivative of the second component (2xy) with respect to x is equal to the partial derivative of the first component (y^2 - 2x) with respect to y. Mathematically, this can be represented as:

∂(2xy)/∂x = ∂(y^2 - 2x)/∂y

Taking the partial derivatives, we get:

2y = 2y

As the two partial derivatives are equal, the curl of the vector field F is zero. Therefore, F is a conservative vector field. In a conservative vector field, the work done by the force is path-independent, and the potential energy can be defined as a function of position.

This means that the work done in moving an object from one point to another within the field only depends on the initial and final positions, and not on the specific path taken.

To learn more about partial derivatives click here

brainly.com/question/31397807

#SPJ11

( f ∘ g ) ( x ) is equivalent to f ( g ( x ) ) . We solve this problem just as we solve f ( x ) . But since it asks us to find out f ( g ( x ) ) , in f ( x ) , each time we encounter x, we replace it with g ( x ) . In the above problem, f ( x ) = x + 3 . Therefore, f ( g ( x ) ) = g ( x ) + 3 . ⇒ ( f ∘ g ) ( x ) = 2 x − 7 + 3 ⇒ ( f ∘ g ) ( x ) = 2 x − 4 Basically, write the g ( x ) equation where you see the x in the f ( x ) equation. f ∘ g ( x ) = ( g ( x ) ) + 3 Replace g ( x ) with the equation f ∘ g ( x ) = ( 2 x − 7 ) + 3 f ∘ g ( x ) = 2 x − 7 + 3 we just took away the parentheses f ∘ g ( x ) = 2 x − 4 Because the − 7 + 3 = 4 This is it g ∘ f ( x ) would be the other way around g ∘ f ( x ) = 2 ( x + 3 ) − 7 now you have to multiply what is inside parentheses by 2 because thats whats directly in front of them. g ∘ f ( x ) = 2 x + 6 − 7 Next, + 6 − 7 = − 1 g ∘ f ( x ) = 2 x − 1

Hello,

\(f(x)=7x-3\\g(x)=x^2\\\\(fog)(x)=g(f(x))=g(7x-3)=(7x-3)^2=49x^2-42x+9\\\\(gof)(x)=f(g(x))=f(x^2)=7x^2-3\\\\(fog)(0)=g(f(0))=49*0^2-42*0+9=9\\\\(gof)(0)=f(g(0))=7*0^2-3=-3\\\)

Since i don't know what is (g°O(1)  and you haven't correct your question ,

i has put the 2 possibles answsers.

Answer:

0.46666666666667

Step-by-step explanation:

You could use long division, and see that 7/15 = 0.46666666667.

Mia would have to work 26.1 hours (approx. 26) to earn $124.00

4.75x=124

divide 4.75 by 4.75 and divide 124 by 4.75

x=26.1

Answer:

81 * 4 = 324.

Step-by-step explanation:

There are 81 * 4 = 324 such integers.

There are 9000 four-digit integers from 1000 to 9999. Let’s refer to the digit that occurs three times as the triplet and the digit that occurs once as the singleton.

In the first (most significant) position there are 9 possible values for the singleton, 1 through 9. In each case there are also 9 possible values for the triplet. For example if the singleton was a 1, the triplets could be anything but a 1: 1000, 1222, 1333, …, 1999. So there are 9 * 9 = 81 cases with the singleton in the first position.

A singleton in the second position can have 10 possible values, 0 through 9. If it’s a 0 there are 9 possible values for the triplet: 1011, 2022, 3033, …, 9099. If it’s anything else there are only 8 possible values for the triplet since the triplet cannot be 0: 2122, 3133, 4144, …, 9199. So there are 9 + (8 * 9) = 81 cases with the singleton in the second position.

The third and fourth positions work just like the second. So the grand total is 81 * 4 = 324.

If you plot the 9000 four-digit integers as a 100 x 90 grid of squares and color the integers with three same digits in red, an interesting pattern occurs:

There are 81 * 4 = 324 such integers.

There are 9000 four-digit integers from 1000 to 9999. Let’s refer to the digit that occurs three times as the triplet and the digit that occurs once as the singleton.

In the first (most significant) position there are 9 possible values for the singleton, 1 through 9. In each case there are also 9 possible values for the triplet. For example if the singleton was a 1, the triplets could be anything but a 1: 1000, 1222, 1333, …, 1999. So there are 9 * 9 = 81 cases with the singleton in the first position.

A singleton in the second position can have 10 possible values, 0 through 9. If it’s a 0 there are 9 possible values for the triplet: 1011, 2022, 3033, …, 9099. If it’s anything else there are only 8 possible values for the triplet since the triplet cannot be 0: 2122, 3133, 4144, …, 9199. So there are 9 + (8 * 9) = 81 cases with the singleton in the second position.

The third and fourth positions work just like the second. So the grand total is 81 * 4 = 324.

If you plot the 9000 four-digit integers as a 100 x 90 grid of squares and color the integers with three same digits in red, an interesting pattern occurs:

(If you zoom in, the four-digit number is printed inside each red square - not sure whether or not that will come through after Quora processes the image.)

Hope this helps!

Brain-List?

Answer:

81

Step-by-step explanation:

4 digit number: xxxy

x=1 y can be 0,2,3,4,5,6,7,8,9  ...9 possibility

x can be 1,2,3,4,5,6,7,8,9 ....9 too

9 x 9 = 81

My best guess, wish it's right.

The unit of measurement that is used for the water in the swimming pool is 2.3×10⁴ gallons.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm,

though the real measurement is still the same the units and numerical values have been changed.

As it is given that the volume of the pool or the amount of water that is in the pool is equal to 2.3×10⁴ units.

We know that an average swimming pool has a volume of water that is in gallons, therefore, the unit of water that will be filled in the swimming pool will be equal to 2.3×10⁴ gallons.

Hence, the unit of measurement that is used for the water in the swimming pool is 2.3×10⁴ gallons.

Learn more about Units conversion:

https://brainly.com/question/4736731

Answer:

toes

Step-by-step explanation:

Given That:

x - (Rebecca's share + John's share) = 24

x - (x/3 + x/4) = 24

12x/12 - (4x / 12 + 3x / 12) = 24

5x/12 = 24

5x = 24 x 12

5x = 288

x = 57 or 58

The following probabilities are: a. P(A) ≈ 0.2143, b. P(A or B) ≈ 0.4579.

a. P(A) = P(A | B) * P(B) + P(A | not B) * P(not B) = 0.5 * 0.3 + P(A | not B) * 0.7

Since A and B are independent, P(A | not B) = P(A). Let's denote P(A) as p.

Therefore, p = 0.5 * 0.3 + p * 0.7

Solving the equation, we get:

0.3 * 0.5 = 0.7p

0.15 = 0.7p

p ≈ 0.2143

Therefore, P(A) is approximately 0.2143.

b. P(A or B) = P(A) + P(B) - P(A and B)

Since A and B are independent, P(A and B) = P(A) * P(B)

P(A or B) = P(A) + P(B) - P(A) * P(B)

P(A or B) = 0.2143 + 0.3 - 0.2143 * 0.3

P(A or B) ≈ 0.4579

Therefore, P(A or B) is approximately 0.4579.

To know more about probabilities,

https://brainly.com/question/31649713

#SPJ11

Answer:

284.96

Step-by-step explanation:

Answer:

C) y = 10

Step-by-step explanation:

Subtract 2/7 from each side

4/7y = 40/7

Divide both sides by 4/7 (Multiply by 7/4)

y = 10

Answer:

C) y=10

Step-by-step explanation:

4/7y+2/7=6

7(4/7y+2/7)=7(6)

4y+2=42

4y=42-2

4y=40

y=40/4

y=10

Answer:

the green and the yellow

The number of the solutions for each system of equation is;

a) Two solutions

b) Two solutions

c) Two solutions

d) Two solutions

An equation is a mathematical statement that asserts the equality of two expressions, usually represented by a symbol such as "=". The expressions on either side of the equation can include numbers, variables, and operations, and the goal is to find the values of the variables that make the equation true.

The number of the solutions that the equation would have would depend on the type of equation that we have to deal with in the problem that have been give.

Learn more about equations:https://brainly.com/question/29631184

#SPJ1

Answer:

Step-by-step explanation:

Rewrite 3x²-12x+16 as follows:

3(x^2 - 4x) + 16

Complete the square of x^2 - 4x; it is (x - 2)^2 - 4.  We then have:

3( (x - 2)^2 - 4) + 16, or:

3(x - 2)^2 - 12 + 16, or

3(x - 2)^2 + 4

Then a = 3, p = -2 and q = 4

********************************************************************

Completing the square of x^2 - 4x is done as follows:

1.  Identify the coefficient of x:  It is -4.

2.  Take half of this result:  It is -2

3.  Square this, and then add the square to x^2 - 4x, and then subtract it:

    x^2 - 4x = x^2 - 4x + 4 - 4

4.  Rewrite this result in the form (x - a)^2 - c:

    (x - 2)^2 - 4  

5.  Now follow the remainder of the problem solution (given above)

Answer:

0.4

Step-by-step explanation:

(0.2+0.3) - (0.6/6)

0.5 - 0.1

Hey there!

0.2 + 0.3 - 0.6 ÷ 6

0.2 + 0.3 = 0.50 = 0.5

= 0.5 - 0.6 ÷ 6

0.6 ÷ 6 = 0.10 = 0.1

= 0.5 - 0.1

= 0.40

= 0.4

Thus, your answer is: 0.4

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The calculated price is -1558. However, since prices cannot be negative in most real-world scenarios, we need to consider the valid range of prices. None of the options are correct.

To find the price at which sales are equal to Q=10, we need to substitute Q=10 into the inverse demand function P=342-190 and solve for P.

Let's start by substituting Q=10 into the inverse demand function:

P = 342 - 190 * Q

P = 342 - 190 * 10

P = 342 - 1900

P = -1558

The calculated price is -1558. However, since prices cannot be negative in most real-world scenarios, we need to consider the valid range of prices.

Given the options provided (a, 18; b, 36; c, 152; d, 171), we can see that none of them match the calculated price of -1558.

Therefore, none of the options are correct.

It is important to note that the calculated price of -1558 may not be realistic or feasible in the context of the problem. It is possible that there may be some error or inconsistency in the information provided.

If you have any additional information or if there are any constraints or limitations mentioned in the problem, please provide them, and I will be happy to assist you further.

for more such question on prices visit

https://brainly.com/question/29023044

#SPJ8

Answer:the answer should be B :) !

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer: To differentiate this function, we need to use the product rule and the chain rule.

First, we will simplify the function:

f(y) = (1/y^2 - 3/y^4) * y(y + 9y^3)

f(y) = (y + 9y^3) / y^3 - (3y + 27y^3) / y^5

f(y) = y^-3 * (y^4 + 9y^6 - 3y^4 - 27y^6)

f(y) = 6y^4 / y^3

f(y) = 6y

Now we can differentiate:

f'(y) = 6

Therefore, the derivative of f(y) is 6.

Using product rule and power rule of differentiation, the derivative of the function f(y) = 1/y² - 3/y⁴ * (y + 9y³) is f'(y) = 12/y⁷ - 6/y⁶ - 54/y⁵.

To differentiate the given function,

We need to use product rule and the power rule of differentiation

use product rule to differentiate two terms in the function;

Let's consider the first term: 1/y²

The derivative of 1/y² with respect to y is:

d(1/y²)/dy = -2/y³

Now, let's consider the second term: -3/y⁴ * (y + 9y³)

The derivative of -3/y⁴ with respect to y is:

d(-3/y⁴)/dy = 12/y⁵

The derivative of (y + 9y³) with respect to y is:

d(y + 9y³)/dy = 1 + 27y²

Let's use product rule to differentiate the expression

Using the product rule, the derivative of the entire expression f(y) = 1/y₂- 3/y⁴ * (y + 9y³) is:

f'(y) = (1/y²) * (d(-3/y⁴ * (y + 9y³))/dy) + (-3/y⁴ * (y + 9y³)) * (d(1/y²)/dy)

Let's plug the value into the previous expression

f'(y) = (1/y²) * (12/y⁵) + (-3/y⁴* (y + 9y³)) * (-2/y³)

Simplifying further:

f'(y) = 12/y⁷ - 6(y + 9y³)/y⁷

      = 12/y⁷ - 6(y/y⁷ + 9y³/y⁷)

      = 12/y⁷ - 6/y⁶ - 54y²/y⁷

      = 12/y⁷ - 6/y⁶ - 54/y⁵

Learn more on product rule here;

https://brainly.com/question/847241

#SPJ4

Option D (9) is not a probability and is not a possible answer choice for a probability question.

To find the probability of the intersection of events A and B (denoted as P(A ∩ B)), we need to know how many elements are in both A and B. Since there are 2 repeated elements between the events, this means that there are a total of 7 - 2 = 5 distinct elements between them.

Therefore, P(A ∩ B) = 5/7.

Note that none of the answer choices provided match this result exactly. Option A is the closest with a probability of 4/7, but this is the probability of A alone, not the intersection of A and B. Option B (2/7) is the probability of B alone and option C (5/7) is the probability of either A or B occurring, not the intersection.

Know more about probability here:

https://brainly.com/question/30034780

#SPJ11

Answer:

x - 5y - 6

Step-by-step explanation:

- 6 + 4y - ( - x + 9y) ← distribute parenthesis by - 1

= - 6 + 4y + x - 9y ← collect like terms

= x - 5y - 6

Answer:

the answer is D

Step-by-step explanation:

i hope this helps and have a brilliant day :D

Answer:

1,072

Step-by-step explanation:

Based on the provided voltage readings, the polarity of the single-phase transformer can be identified as follows: the dot notation represents the primary winding, while the numerical labels indicate the corresponding terminals.

The primary and secondary windings are denoted by L1 and L2, respectively. The polarities can be determined by observing the voltage readings across various terminal combinations.

To identify the polarity of a single-phase transformer, you can analyze the voltage readings obtained from different terminal connections. In this case, let's consider the given readings.

When measuring the voltage between L1 and L2, we obtain a reading of 121 volts. This indicates the voltage across the primary and secondary windings in the same direction, suggesting a non-reversed polarity.

Next, measuring the voltage between terminals 1 and 4 while connecting terminals 2 and 3 results in a reading of 26.47 volts. This implies that terminals 1 and 4 have the same polarity, while terminals 2 and 3 have opposite polarities.

Similarly, when connecting terminals 2 and 4 and measuring the voltage between terminals 1 and 3, a reading of 7.32 volts is obtained. This indicates that terminals 1 and 3 have the same polarity, while terminals 2 and 4 have opposite polarities.

For the combination of terminals 6 and 7, a voltage reading of 25.78 volts is measured between terminals 5 and 8. This suggests that terminals 5 and 8 have the same polarity, while terminals 6 and 7 have opposite polarities.

Lastly, when connecting terminals 5 and 7 and measuring the voltage between terminals 6 and 8, a reading of 5.42 volts is obtained. This indicates that terminals 6 and 8 have the same polarity, while terminals 5 and 7 have opposite polarities.

By considering the polarity relationships observed in these readings, we can conclude that the primary and secondary windings of the single-phase transformer have the same polarity. The dot notation indicates the primary winding, and the numerical labels represent the terminals.

To learn more about voltage readings visit:

brainly.com/question/31596039

#SPJ11

If you use a level of significance in a (two-tail) hypothesis test, your decision rule for rejecting a null hypothesis that the population mean is if you use the z test is based on the critical values of the test statistic. Specifically, you would reject the null hypothesis if the test statistic falls in the rejection region, which is determined by the level of significance and the critical values of the z distribution.

In a two-tail hypothesis test, the rejection region is the area in the tails of the distribution that falls outside of the critical values. For example, if you use a level of significance of 0.05, the critical values for the z test would be -1.96 and 1.96. This means that you would reject the null hypothesis if the test statistic is less than -1.96 or greater than 1.96.

In summary, the decision rule for rejecting a null hypothesis in a two-tail hypothesis test using the z test is based on the level of significance and the critical values of the z distribution. If the test statistic falls in the rejection region, you would reject the null hypothesis.

You can learn more about two-tail hypothesis test at

https://brainly.com/question/15684429

#SPJ11