solve the equation by performing two operations on both sides. State the operation in order of use

The true statement is that C.  Events A and B are not independent because P(A|B) ≠ P(A).

The probability that Roger wins a tennis tournament (event A) is 0.45 i.e. P(A)=0.45

The probability that Stephan wins the tournament (event B) is 0.40 i.e. P(B)=0.40

It should be noted that if A and are independent events, then P(B|A) = P(B). This isn't possible in this situation.

Therefore, the true statement is that events A and B are not independent because P(A|B) ≠ P(A).

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The probability that Roger wins a tennis tournament (event A) is 0.45, and the probability that Stephan wins the tournament (event B) is 0.40. The probability of Roger winning the tournament, given that Stephan wins, is 0. The probability of Stephan winning the tournament, given that Roger wins, is 0. Given this information, which statement is true?

1.Events A and B are independent because P(A|B) = P(A).

2.Events A and B are independent because P(A|B) ≠ P(A).

3. Events A and B are not independent because P(A|B) ≠ P(A).

4. Events A and B are not independent because P(A|B) = P(A).

Answer:

C is the correct choice.

Step-by-step explanation:

Here are the rules for vertical stretches and reflection

Given a function f(x), a new function [tex]g(x)= a \cdot f(x),[/tex] where a is a constant, is a vertical stretch or vertical compression of the function f(x).

Since the question use a multiplicative of -3, and -3 < 0 we get the correct choice as C: The graph of g is the graph of f vertically stretched by a scale factor of 3 and reflected over the x-axis

Treating the amounts as Venn sets, we have that 161 students signed up for only Math, considering that 40 did not sign for any.

For this problem, we consider the following sets:

4 students had signed up for all three courses students, hence:

(A ∩ B ∩ C) = 4.

8 students had signed up for both a Math and Humanities, hence:

(B ∩ C) + (A ∩ B ∩ C) = 8

(B ∩ C) = 8.

18 students had signed up for both a Math and Language Arts, hence:

(A ∩ C) + (A ∩ B ∩ C) = 18

(A ∩ C) = 14.

9 students had signed up for both a Language Arts and Humanities, hence:

(A ∩ B) + (A ∩ B ∩ C) = 9

(A ∩ B) = 5.

36 students had signed up for a Humanities course, hence:

B + (A ∩ B) + (B ∩ C) + (A ∩ B ∩ C) = 36

B + 5 + 8 + 4 = 36

B = 19.

51 students had signed up for a Language Arts course, hence:

A + (A ∩ B) + (A ∩ C) + (A ∩ B ∩ C) = 36

A + 5 + 14 + 4 = 51

A = 28.

Considering that there are 279 students, and supposing 40 did not sign for any course, we have that:

A + B + C + (A ∩ B) + (B ∩ C) + (A ∩ C) + (A ∩ B ∩ C) + 40 = 279.

28 + 19 + C + 5 + 8 + 14 + 4 + 40 = 279

118 + C = 279

C = 161

161 students signed up for only Math, considering that 40 did not sign for any.

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Answer: The student is wrong because you have to figure out the area of each of the rectangles to find the total area. Add each of the areas to get your answer.

Step-by-step explanation:

Answer:

the total area is 1400

Step-by-step explanation:

The student is wrong. The shape's area can be calculated.

If you divide the shape into 3 separate rectangles horizontally

1st: area = 35 x 10 = 350

2nd area = 10 x 60 = 600

3rd area = (60 - 15) x 10 = 450

the total area is 350 + 600 + 450 = 1400

The location of the coordinate of the daycare is (3, -1.5)

The formula for calculating the midpoint of coordinate is expressed as;

M(x, y) = {(x₁+x₂/2, y₁+y₂/2)}

Given the coordinate points (4, -5) and (2, 5), on substituting, we will have:

M(x, y) = {(4+2/2, -5+2/2)}

M(x, y) = (6/2, -3/2)

M(x, y) = (3, -1.5)

Hence the location of the coordinate of the daycare is (3, -1.5)

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Answer:

1.75

Step-by-step explanation:

Greetings from Brasil...

know that three-tenths = 0.3

then

0.3X = 15

3X/10 = 15

Answer:

  (c)  (-30)⁴

Step-by-step explanation:

You want to simplify the product (-6)⁴×(5)⁴.

An exponent is an indicator of repeated multiplication:

  (-6)⁴ = (-6)(-6)(-6)(-6) . . . . . . the factor -6 is repeated 4 times

  (5)⁴ = (5)(5)(5)(5)

Then the product is ...

  (-6)⁴ × (5)⁴ = (-6)(-6)(-6)(-6)(5)(5)(5)(5)

The commutative and associative properties of multiplication let you regroup this to ...

  (-6)(5)×(-6)(5)×(-6)(5)×(-6)(5) = (-30)(-30)(-30)(-30)

Using the exponent to signify repeated multiplication, this can be written as the equivalent ...

  (-30)⁴

__

Additional comment

This product has an even number of minus signs, so will be positive. It is fully equivalent to ...

  30⁴.

Answer: can you give me some more information??

Step-by-step explanation:

Answer: 75295.5

Step-by-step explanation:

Answer: 75255.1

Step-by-step explanation: 745.1×101

Multiply 745.1 and 101 to get 75255.1.

FACTOR

[tex]\frac{101.7541}{2.5}[/tex]=75255[tex]\frac{1}{10}[/tex]=75255.1

Answer:

point symmetry if no symmetry isn't an option as it looks grayed out and not clickable

The ages will be:

Henry's weight = 38kg

David =35kg

Peter = 50 kg

Let Henry's weight be represented by x

David is 3kg lighter. This will be x-3.

Peter is 15kg heavier. This will be:

= x-3 + 15 = x +12

This will be:

x + x-3 + x + 12 = 123

3x + 9 = 123

3x = 123 - 9

3x =114

Divide

x = 114/3 = 38

Therefore, Henry's weight = 38kg

David =x - 3 = 38 - 3 = 35kg

Peter =35 + 15 50 kg

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Answer:

Step-by-step explanation:

5x-2y=-4

-2y=-5x-4

y=5/2x+2

The coordinates of S are (-1 , 11)

In the given statement is :

The coordinates of point T are ​(0​,4​). The midpoint of ST is ​(1​,−3​).

To find the coordinates of point S.

Now, According to the question:

Let the coordinate of point S are (x, y).

T (0, 4) is the mid point of ST

=> [tex]\frac{x+1}{2}=0 , \frac{y+(-3)}{2}=4[/tex]

=> x+1 =0 , y -3 = 8

=> x = -1 , y = 11

So, the coordinates of S are (-1 , 11)

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-a²+3b²/3ab

Step-by-step explanation:

b/3a - a/3b

= -3a² + 3b²/3ab

=-a²+3b²/3ab

Your answer is in the screenshot!

Answer:

15 dollars

Step-by-step explanation:

Monday (1 dollar)

Tuesday (2 dollars)

Wednesday (3 dollars)

Everyday, Carson earn one dollar more.

So Thursday should be 3+1 (which is 4 dollars)

and Friday should be 4+1 (which is 5 dollars)

Total is 1+2+3+4+5 dollars = 15 dollars

Answer:

2(x+7) more than(>) 6

Step-by-step explanation:

Answer:D

Step-by-step explanation:

Thank me later

The measure of the angle is 36° and its supplement is 144°.

The supplement of an angle is calculated by subtracting the value of the angle from 180°.

Given that the supplement of the angle is 4 times the angle.

Let us consider the value of the angle be x°.

Therefore the value of the supplement is 4x°

Now the sum of the two supplementary angles is 180°.

∴x° + 4x° = 180°

or, 5x° = 180 °

or, x° = 36°

Therefore the larger angle = 4x° = 4 × 36° = 144° .

Hence the angles are 36° and 144° .

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A fraction is a way to describe a part of a whole. Beth will able to fill 5 complete bottles from a single batch of liquid cleaner.

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

Given that the recipe makes ⅔ gallons. Also, Beth puts cleaner in ⅛ gallon bottles. Therefore, we can write,

Total batch size = ⅔ gallons

Size of a bottle = ⅛ gallon

Now, the number of bottles that Beth will be able to feel from a single batch of liquid cleaner is,

Number of bottles = Total batch size / Size of a bottle

                               = ⅔ gallons / ⅛ gallon

                               = (2×8) / (3×1)

                               = 16 / 3

                               = 5.3333 ≈ 5

Therefore, Beth will able to fill 5 complete bottles from a single batch of liquid cleaner.

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The Required answer is ∠MNQ is (10x - 4)°

Two unique points on a line define the boundaries of a line segment. A line segment is sometimes referred to as a section of a line that links two places. The difference between a line and a line segment is that a line has no endpoints and can go on forever in either direction.

Given NP bisects MNQ as shown in the given figure

A line segment that bisects two lines divides them into two equal parts.

Given ∠MNP =( 6x - 12)°

Given ∠PNQ = (4x + 8)°

We have to determine ∠MNQ as

∠MNQ = ∠MNP  + ∠PNQ

           = 6x - 12 + 4x + 8

           = 10x - 4

Therefore, the answer for the given question is ∠MNQ is (10x - 4)°

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Answer:

4.5 hectares

Explanation:

Maize=1/3x36=12Ha

Wheat=2/9x36=8Ha

Beans=4 Ha

=36-(12+8+4)

=36-24

=12Ha

Total remaining land=8/8=12

5/8=homestead

8/8-5/8=3/8

3/8=grazing land

=3/8x12

=4.5ha for grazing land

Answer:

42

Step-by-step explanation:

3 to 2 can be represented as 3/2. Remember the numerator represents stars while the denominator represents circles. Set up a proportion the criss multiply. This ratio would be 3/2 = x/28. First multiply 28 x 3 and set it equal to 2x. This gives you 84=2x. Divide 2 by each side and you will get 42 stars.

Answer:

Step-by-step explanation:

The number of sweaters that Jaylen will purchase, based on his marginal benefit, is 5 sweaters.

Marginal utility or benefit is the added satisfaction that a consumer derives from the consumption of an additional unit of a product or service.

Using the concept of marginal utility, we can determine the number of units consumers will be willing to purchase.

The law of marginal utility states that a consumer will continue to purchase more of an item until their marginal benefit or utility is fewer than the cost of the item.

For instance, Jaylen will buy sweaters until his marginal benefit is lower than the price of a sweater ($10).

Jaylen is likely to buy 5 sweaters since his marginal benefit, though progressively reducing, still exceeds the price of the sweaters.

Price per sweater = $10

                     Marginal Benefits

1st sweater              50

2nd sweater           35

3rd sweater            30

4th sweater            23

5th sweater            12

6th sweater             8

Thus, based on marginal utility, Jaylen will purchase 5 sweaters.

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Answer: The first step in determining the solution to the system of equations algebraically is [-4,-2].

Step-by-step explanation:

Determining the solution to the system of equations,

so, y=-x²-4x-3 and y= 2x+5, algebraically is to set the two equations are equal to:

-x²-4x-3 =2x+5

Then the solve in this equation

To put all terms into the lest side of the equation and group the terms:

solve it:   -x²-4x-3-2x-5=0

-x²+(-4x-2x)+(-3-5)=0

-x²-6x-8=0

now you can multiply this equation by -1

x²+6x+8=0

and solve it using Quadratic equation

x(1,2)=[-b±√[tex]b^{2}[/tex]-4ac]/2a

replace with a=1,b=6,c=8 values

x(1,2)=[-6±√[tex]6^{2}[/tex]-4.8.1]/2.1

    x(1,2) =[-6±√4]/2

      x(1,2) =[-6±2]/2

      x(1,2) =[-4,-2]

The first step in determining the solution to the system of equations algebraically is [-4,-2].

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The type of market in which  all employee can take orders, sell flowers, make arrangements, and commit the store to large orders for weddings, banquets, and special events is Oligopoly.

An oligopoly is a market characterized by a small number of firms who realize they are interdependent in their pricing and output policies. The number of firms is small enough to give each firm some market power.

Given situation:

All employee can take orders, sell flowers, make arrangements, and commit the store to large orders for weddings, banquets, and special events.

As, we know that A market structure known as an oligopoly occurs when a few large sellers or manufacturers control a sizable portion of a market or an entire sector.

Oligopolies are frequently the outcome of corporate collaboration as a way to increase profits.

Some examples of oligopolies include the car industry, petrol retail, pharmaceutical industry, coffee shop retail, and airlines.

So, as discussed in the given case employee can take orders, sell flowers, make arrangements, and commit the store to large orders for weddings, banquets, and special events to make some profit.

Hence, type of market is Oligopoly.

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