Let A and B be two events in a sample space S such that
P(A)=.6 P(B)=.5 and P(A intersect B) =.2 Find
A) P(A|B)
B) P(B|A)
Please explain how to do this! Thank you

Answers

Answer 1
P(A|B)P(A intersect B) = 0.2 = P( B intersect A)

A) P(A intersect B) = P(A|B)*P(B)
Replacing the known vallues:
0.2=P(A|B)*0.5
Solving for P(A|B):
0.2/0.5=P(A|B)*0.5/0.5
0.4=P(A|B)
P(A|B)=0.4

B) P(B intersect A) = P(B|A)*P(A)
Replacing the known vallues:
0.2=P(B|A)*0.6
Solving for P(B|A):
0.2/0.6=P(B|A)*0.6/0.6
2/6=P(B|A)
1/3=P(B|A)
P(B|A)=1/3

Related Questions

Can someone help me? Any mathematicians? I'll give you the brainliest and points

Answers

Answer:
Choice A
Min value: -4
Domain: All real numbers
Range: All real numbers greater than or equal to -4

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

The given equation y = 2(x-3)^2-4 is in the form y = a(x-h)^2 + k

a = 2 is the leading coefficient
since the leading coefficient is positive, the graph opens upward meaning this graph has a min value (instead of a max). Since we know it doesn't have a max, we can rule out choice B and choice C

The min value is the value of k, which in this case is k = -4. At this point, we can see the answer is choice A. Recall that (h,k) is the vertex which is either the highest or lowest point. 

Adding on more confirmation that the answer is choice A, the domain is in fact the set of all real numbers. We can replace x with any number want to get some output value for y. There are no restrictions since we don't have to worry about dividing by zero or taking the square root of a negative number.

The range is the set of y values such that y >= -4. Basically y is either -4 or larger than -4. This comes from the fact that y = -4 is the smallest output possible (aka the min value mentioned earlier)

–13.5a + 34.12b + 65.5a – 32.5b – 35.8a

A.
32.5a + 20.47b
B.
16.2a + 1.62b
C.
–18.7a – 26b
D.
1.62a + 16.2b

Answers

Answer:

the answer is C

Step-by-step explanation:

Answer:

The Answer is not C

Step-by-step explanation:

if you simplify your problem, it should not come out as C. if so, you did it wrong.

The ratio of the numerator to the denominator of a fraction is 2 to 3. If both the numerator and the denominator are increased by 2, the fraction becomes 3/4 . What is the original fraction? Which of the following systems of equations can be used to solve the problem? n + 4 = 3 and d + 5 = 4 3n - 2d = 0 and 4n + 2 = 3d + 2 3n = 2d and 4n + 8 = 3d + 6

Answers

n/d = 2/3   ------------------->  3n = 2d

(n + 2)/(d + 2) = 3/4  ------> 4n + 8 = 3d + 6

The answer is C, 3d = 2d and 4n + 8 = 3d + 6

factor the equation.

Answers

x² - 11x + 18

find factors of x² and 18 that will give you -11x

x² - 11x + 18
x               -9
x               -2

(x - 9)(x -2) is your answer

if you are finding the x, place each parenthesis equal to zero

x - 9 = 0
x - 9 (+9) = 0 (+9)
x = 9

x - 2 = 0
x - 2 (+2) = 0 (+2)
x = 2

x = 2, 9


hope this helps

Which of the binomials below is a factor of this trinomial?

3x2 + 18x + 24

A. x + 4
B. x - 4
C. x - 3
D. x + 3

Answers

Final answer:

The binomial factor of the trinomial 3x^2 + 18x + 24 is 'x + 4', which corresponds to Option A.

Explanation:

The student is asking which binomial is a factor of the trinomial 3x2 + 18x + 24. To find a factor, you can either factor the trinomial directly or use the zero product property, which states that if a product equals zero, then at least one of the factors must be zero. Since we're looking for a binomial factor and not solving for x, we'll factor the trinomial.

Factors of 3x2 are 3x and x, and factors of 24 that add up to 18 (when multiplied by 3 or 1 from the 3x2 term) are 6 and 4. Thus, the trinomial can be factored as (3x + 4)(x + 6). So, the binomial that is a factor of the trinomial is x + 4, which is Option A.

Which pair of measurements is not equivalent?
450 mm, 4.5 m
250 cm, 2.5 m
4 km, 4,000 m
1.2 cm, 12 mm

Answers

450 mm doesn't equal 4.5 m.

450 mm = 45 cm
45 cm = 0.45 m
0.45 doesn't equal 4.5

Hope this helps!

Final answer:

The pair of measurements that is not equivalent is 450 mm and 4.5 m.

Explanation:

When comparing pairs of measurements, it's important to convert them to the same unit before making a comparison. Let's examine the pairs to determine which one is not equivalent:

450 mm is convertible to meters by dividing by 1000, as there are 1000 millimeters in a meter, giving us 0.45 m. This is not equal to 4.5 m.250 cm is convertible to meters by dividing by 100, since there are 100 centimeters in a meter, resulting in 2.5 m. Hence, 250 cm and 2.5 m are equivalent.4 km converts to meters by multiplying by 1000, as there are 1000 meters in a kilometer, resulting in 4000 m. Therefore, 4 km and 4000 m are equivalent.1.2 cm is convertible to millimeters by multiplying by 10, as there are 10 millimeters in a centimeter, giving us 12 mm. So, 1.2 cm and 12 mm are equivalent.

The non-equivalent pair is 450 mm and 4.5 m. All other pairs are equivalent after conversion.

Which expression is not equivalent to 3x – 2?

A. x + x – 1 – 1 + x
B. 2x + 2 + x
C. 3 – x + 2x – 5 + 2x
D. 4x – 4 – x + 2

Answers

The expression which is not equivalent to the given expression is 2x + 2 + x. Hence, option B is correct.

What is an expression?

If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.

The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. In order to include terms into an expression, a mathematical operation like reduction, addition, multiplication, or division is used.

As per the given information in the question,

The given expression is,

3x - 2

Now, one by one check with given options,

A. x + x - 1 - 1 + x = 3x - 2, So, it is correct.

B. 2x + 2 + x = 3x + 2, So, it is incorrect.

C. 3 - x + 2x - 5 + 2x = 3x + 2, So, it is correct

D. 4x - 4 - x + 2 = 3x + 2, So, it is correct.

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b

just got it right on edge

12+34+23+9424482+398+42+489+92+12+3+423+1=?

Answers

9426011 is the answer

PLEASE MARK AS BRAINLIEST.
To find the answer, you have to break it down

 12+34= 46

 23+9424482= 9,424,505

 398+42= 440

489+92= 581

12+3= 15
 
423+1= 424

Then add up the answers, but we are going to break it down too.

46+ 9,424,505= 9,424,551

440+ 581= 1021

15+424= 439

Next, you add the answers to that, but we are going to break it down

1021+439= 1460

Finally, we are going to add that answer to 9,424,551

9,424,551+1460= 9,426,011

So the answer is 9,426,011

What is an equation of a line that is perpendiculauation is 2y=3x-10 and passes through -6,1?

Answers

There's a bit of a neat trick for doing these. You swap the x- and y-coefficients and negate one of them. You use the methods of translating functions to translate the answer to the point of interest. For example, you use (x -h) and (y -k) in place of (x, y) when you want the line to go through (h, k).

3(y -1) = -2(x +6)

Multiply the binomials (x - 8) (x + 8)

Answers

(x - 8) (x + 8)
= x^2 - 8x + 8x -64
= x^2 - 64

Which of the following terminating decimals is equivalent to -1 3/4
?

Answers

It would be - 1.75. Hope it helps! :)

Answer:

→ The decimal expansion of rational number is either terminating or non terminating repeating.

→If the denominator of rational number is of the form [tex]2^a \text{or} 5^b \text{or} 2^a \times 5^b [/tex] , then the decimal terminates.

   [tex]\rightarrow -1 \frac{3}{4}=\frac{-7}{4}\\\\=-1.75[/tex]

Alina has one-quarter of a dollar for parking money. Which amount is equivalent to her parking money?

Answers

This answer would be .25, otherwise known as 25 cents

If the typical balance on Lucy's credit card is $650 and the interest rate (APR) on her credit card is 18%, how much in interest would you expect Lucy to be charged in a typical month?

Answers

(18%\12)x650=9.75 18 divide by 12 times 650

General Idea:

[tex] Amount \; Charged \; in \; a \; Month \; = \; Monthly \; Interest \; Rate \; \times Typical \; Creditcard\; Balance\\ \\ [/tex]

[tex] Amount \; Charged \; in\; a\; month =\frac{18\%}{12} \times 650 \; = 0.015\times650=9.75 [/tex]

Conclusion:

Amount of interest that Lucy to be charged in a typical month is $9.75

Jessica paid $13.24 for a 3.41-pound bag of shrimp at one store. The following week, she paid $18.99 for a 4.96-pound bag at another store. Find the unit price for each bag. Then state which bag is the better buy based on the unit price. Round your answers to the nearest cent.

Answers

Answer:  1st answer is 3.88 lastly the 2nd is 3.83

Step-by-step explanation:

The bag with price $18.99 for a 4.96-pound bag is best to buy.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

for example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Jessica paid $13.24 for a 3.41-pound bag of shrimp at one store.

So, Jessica paid for one pound of shrimp = 13.24/ 3.41

                                                                     = $3.88

                                                                      = $3.9      

and, he paid $18.99 for a 4.96-pound bag at another store.

So, she paid for one pound = 18.99/4.96

                                              = $3.8286

                                              = $3.8

Hence, the bag with price $18.99 for a 4.96-pound bag is best to buy.

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How many pounds of cashew nuts worth 75 cents a pound must be mixed with 10 pounds of pecans worth $1.50 a pound to make a mixture worth $1.00 a pound? Which of the equations could be used to solve for p, the pounds of cashew nuts? 75p + 150(10) = 100(p + 10) 75(p + 10) + 150(10) = 100(p + 10) 75p + 150 = 100(p + 10)

Answers

Answer:

  75p + 150(10) = 100(p + 10)

Explanation:

Mixture problems such as this can be solved by writing an equation that expresses the total cost of the mixture in terms of the costs of the constituents.

Here, the cost (in cents) of p pounds of cashews will be 75p. The cost (in cents) of the 10 pounds of pecans at $1.50 per pound will be 150(10). The total cost of p+10 pounds of the mixture is desired to be 100(p+10).

The equation of the 1st selection is appropriate. It tells that the prices of the contributing nuts add to give the price of the mixture, just as you want:

  75p + 150(10) = 100(p+10)

The correct equation to solve for the pounds of cashew nuts, denoted as p, that must be mixed with pecans to get a mixture worth $1.00 a pound is: 75p + 150(10) = 100(p + 10).

We are trying to determine how many pounds of cashew nuts that are worth 75 cents a pound must be mixed with 10 pounds of pecans worth $1.50 a pound to create a mixture worth $1.00 a pound. Let's denote the pounds of cashew nuts needed as p. The respective values of each type of nut are included in calculating the total value of the mix. Therefore, the value of the cashews (at 75 cents per pound) plus the value of the pecans (at $1.50 per pound) should equal the value of the desired mixture (at $1.00 per pound). The correct equation to use would be:

75p + 150(10) = 100(p + 10)

To solve for p, we multiply the cost per pound by the weight for each type of nut, then equate this to the cost per pound of the mixture multiplied by the total weight of the mixture. After solving this equation for p, we will know the required pounds of cashew nuts.

According to the above graph, which industry will have 25% more growth than health services over the period from 2000 to 2010?

Answers

It is c. b is wrong.

Industry which will have 25% more growth than health services over the period from 2000 to 2010 is Computer and data processing.

What is data?

In computing, data is information that has been translated into a form that is efficient for movement or processing.

Given that, a graph titled top 10 Industries with Fastest Growth and Salary Employment 2000 to 2010.

Here,

Health services, 57;

Personnel supply services, 49;

Warehousing and storage, 45;

Water and sanitation, 45;

Computer and data processing, 86;

Management and public relations, 42;

Cable television services, 51;

Residential care, 64;

Business services, 43;

Equipment rental and leasing, 42.

So, according to the given data the highest record is given by computer and data processing.

Therefore, industry which will have 25% more growth than health services over the period from 2000 to 2010 is Computer and data processing.

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"Your question is incomplete, probably the complete question/missing part is:"

A graph titled Top 10 Industries with Fastest Growth and Salary Employment 2000 to 2010 showing percent change for the following: health services, 57; personnel supply services, 49; warehousing and storage, 45; water and sanitation, 45; computer and data processing, 86; management and public relations, 42; cable television services, 51; residential care, 64; business services, 43; equipment rental and leasing, 42.

According to the above graph, which industry will have 25% more growth than health services over the period from 2000 to 2010?

A. Equipment rental and leasing

B. Residential care

C. Computer and data processing

D. None of these

Help please!!!!!!!!!

Answers

When the denominator = 0 and the numerator does not, you get a vertical asymptote.  That said a = - 1

If the exponents on the highest variable are the same in the horizontal asymptote is the division of coefficient on the top with the bottom. In plain English what that means is that if you make m = 1 then the coefficients are 2 and 1 (2 in the numerator and 1 in the denominator). If m is any other value greater than 1 there is not a horizontal asymptote.

C <<<====answer.
Third one down.






Identify the initial amount a and the growth factor b in the exponential function a(x) =680•4.3^

Answers



         f(x)  =  680   (   4   )³
                      a         b

A rectangle is 25 inches long and 13 inches wide. What is the area of the rectangle?

Answers

Length x width = area of a rectangle

Therefore,

25 x 13 = 325

The answer is 325 inches squared.

Hope this helps! Good luck! :D

Answer:

GUYS HE MEANT 2/5 AND 1/3

Step-by-step explanation:

THE REAL ANSWER IS 2/15

Area of rectangle is given by:

where

A is the area of rectangle

l is the length of the rectangle

w is the width of the rectangle

As per the statement:

a rectangle is 2/5 inches long and 1/3 in wide

and  inches

then using area formula we have;

Simplify:

inches square.

Therefore, the area of rectangle is  square inches.

Please help! what is y+7=-1/7(x+4) in slope intercept form?

Answers

we know that
the equation of a line in slope intercept form is--------------> y=mx+b
where
m-----------> is the slope
b-----------> is the y-intercept  point when x=0

y+7=-1/7(x+4)---------> y+7=(-1/7)x-4/7
y+7=(-1/7)x-4/7------> y=(-1/7)x-4/7-7------> y=(-1/7)x-(53/7)

the answer is
y=(-1/7)x-(53/7)-------------> this is the equation of a line in slope intercept form
m=(-1/7)=-0.14
b=(-53/7)=-7.57
y=-0.14x-7.57

see the attached figure

How many 2 digit numbers can you make using the digits 1,2,3,4 without repeating the digits

Answers

you can make 12, 13, 14, 21, 23, 24, 31, 32, 34, 41, 42, and 43. So 12 numbers

Andy is buying carpet squares for his living room. the length of the room is 20 feet, and the width is 16 feet. each carpet square covers 4 square feet. how many carpet squares will andy need to purchase to cover the room

Answers

Answer:

andy needs 80 carpet squares

Step-by-step explanation:

Final answer:

To cover the living room, multiply the room's length by its width to get the area in square feet (320 square feet), then divide by the area that one carpet square can cover (4 square feet), resulting in 80 carpet squares needed.

Explanation:

To calculate the number of carpet squares needed to cover Andy's living room, we start by finding the area of the room. The area is the product of the length and the width, so we multiply the room's dimensions: 20 feet (length) by 16 feet (width). This calculation gives us an area of 320 square feet. Next, we divide the total area by the area that each carpet square can cover. Since each square covers 4 square feet, we divide 320 square feet by 4 square feet per square to determine the number of squares needed:

320 square feet ÷ 4 square feet/square = 80 squares.

Therefore, Andy will need to purchase 80 carpet squares to cover the living room.

Francis have 5 more dollars than Julia together they have at most $45 let X represent the amount of money francis has. Which inequality can be used to find the possible amounts of money that francis has?

Answers

x=francis  y=julia

the answer is francis has $27.5 and julia has $17.5 you find this by 45 and dividing it by 2 then get on half and add 5 and with the other half subtract five

A number divided by three less two is at most two

Answers

x/(3 - 2) ≤ 2 

3-2 = 1

x/1 ≤ 2

X ≤ 2

The required number would be x ≤ 2 which represents the number divided by three less two is at most two.

What is inequality?

Inequality is defined as mathematical statements with at least two terms including non-equal variables or integers.

What is algebra?

Algebra is the study of mathematical symbols, whereas logic is the manipulation of those symbols.

The number divided by three less two equals the number specified in the question.

Let the required number would be x

As per the given condition, translate the phrase into an algebraic inequality as:

⇒ x/(3 - 2) ≤ 2

Apply the subtraction operation, and we get

⇒ x/1 ≤ 2

⇒ x ≤ 2

Therefore, the required number would be x ≤ 2.

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A reporter for the local news station wants to know how the citizens of the area feel about the current gas prices. The reporter decides to gather this information by conducting a survey at the local golf course.

Part A

Determine if the chosen sample is random or not random for the population and give and explanation why.

Part B

Come up with two different ways a random sample could be collected for this population.

Answers

The reporter wants to get a random (or representative) sample of the citizens in the area. That means that he wants the people he selects to reflect those that live in the area. If half the people in the area are men, then we expect more or less half of those he asks to be men, for example.

PART A
While it is not entirely clear if the members of the golf club are representative of those in the area (one might be in an area where most folks golf), it is probably unlikely. Most people do not golf and (I am being very stereotypical here) most golfers are men. So the people he asks might be more likely to be men than those in the area, as an example.

PART B
To get a random sample, the reporter could instead knock on the door of 3 houses on every block in the area and ask the inhabitants of these houses about the gas prices. We, of course, don't know how big the area is or how feasible it is to knock on 3 doors per block, but here we are likely to get a random sample.

Another method could be to take a list of residents from the area and contact every 5th name on the list. In this way the people selected are random and more likely to be representative of those in the area.

If f(x) is a linear function, what is the value of n?

Answers

Answer:

Option C. 13

Step-by-step explanation:

Since f(x) is a linear function then we can rewrite the function in the form of an equation y = mx + c

where m is the slope of a line.

Since line passes through two points (3, 7), (9, 16)

Therefore m = (16 - 7)/(9 - 3) = 9/6 = 3/2

Now we know a point (16, 26.5) also lie on the line so by putting the values of m, x, and y in the equation.

y = 3x/2 + c

26.5 = 3×16/2 + c

c = 26.5 - 24 = 2.5

So the equation is y = 3x/2 + 5/2

y = 1/2(3x + 5)

If a point (7, n) lies on the line then

n = 1/2(3×7 + 5) = 1/2(21 + 5) = 26/2 = 13

Therefore n = 13 is the answer.

helpppppppppppppppppppppppppp

Answers

Answer:
The last choice is the correct one

Explanation:
We can solve this question using "difference between squares" which has the following general rule:
a^2 - b^2 = (a+b)(a-b)

For the given question:
p^4 - 16 = (p^2 - 4)(p^2 + 4)

Now, p^2 - 4 can be further factorized using difference between squares, therefore:
p^4 - 16 = (p-2)(p+2)(p^2 + 4)

Hope this helps :)

What is the length of the side of a cube that has a surface area of 864 in2
A.11in
B.12in
C.13in
D.14in

Answers

Let
b-----------> length of the side of cube

we know that

the area surface of cube=6*b²
A=6*b²=864 in²----------------> b=√(864/6)=12 in

the answer is b=12 in

Identify the equivalent expressions of 4(2x + x – 3) – 3x + 3 by applying x = 2 and x = 3.

9x-9
9x-1
9x+x-9
9(x-1)
4(3x-3)+3-3x

Answers

Well, first you want to input the values for x and see what the equations equals with each value. Remember order of operations!
x=2
4(2*2 + 2 – 3) – 3(2) + 3
4(4 + 2 - 3) - 6 + 3
4(6 - 3) - 6 + 3
4(3) - 6 + 3
12 - 6 + 3
6 + 3 = 9

x=3
4(2*3 + 3 – 3) – 3(3) + 3
4(6 + 3 - 3) - 9 + 3
4(9 - 3) - 9 + 3
4(6) - 9 + 3
24 - 9 + 3
15 + 3 = 18

So, the equivalent expression should equal 9 when x is 2 and 18 when x is 3.
Lets plug them in!
9x-9
9(2) - 9 = 18 - 9 = 9
9(3) - 9 = 27 - 9 = 18

9x-1
9(2) - 1 = 18 - 1 = 17
9(3) - 1 = 27 - 1 = 26

9x+x-9
9(2) + 2 - 9 = 18 + 2 - 9 = 20 - 9 = 11
9(3) +3 - 9 = 27 + 3 - 9 = 30 - 9 = 21

9(x-1)
9(2-1) = 9(1) = 9
9(3-1) = 9(2) = 18

4(3x-3)+3-3x4(3*2 - 3) + 3 - 3(2) = 4(3) + 3 - 6 = 12 + 3 - 6 = 15 - 6 = 9
4(3*3 - 3) + 3 - 3(3) = 4(6) + 3 - 9 = 24 + 3 - 9 = 27 -9 =18

So, the equivalent expressions are

9x-9
9(x-1)
4(3x-3)+3-3x
Hope this helped! (Also, I meant expressions not equations! Oops!)

The cost of a single ticket depends on the number of tickets, t, purchased in a group, as represented by the function C(t).

C(t) = $18.50 1 <_t < 12
$16.00 12<_t < 20
$14.50 20<_t

What is the total cost for 20 tickets?
A.)$14.50
B.)$16.00
C.)$290.00
D.)$320.00

Answers

The total cost for 20 tickets:
20 · 14.50 = $290.00
Answer: C ) $290.00

Answer:

C. $290

Step-by-step explanation:

We see that,

The cost of the single ticket is given by,

[tex]C(t) =\left\{\begin{matrix} 18.50, &1\leq t\leq 12 \\ 16.00, & 12\leq t\leq 20\\ 14.50, & 20\leq t\end{matrix}\right.[/tex],

where t = number of tickets.

As, we have,

When t = 20, the value of C(t) is $14.50.

That is, the cost of 20 tickets = 20 × 14.50 = $290.

Thus, the total cost of 20 tickets is $290.

Other Questions
If p is true and q is false, then p ~q is true. truefalse If 5^3 b-1=5^b-3, what is the value of b? 4. Which event turned the tide of the conflict in the Ohio Valley? a. General Anthony Waynes victory at the Battle of Fallen Timbers b. Britains decision to supply arms to Native Americans c. John Jays compromise with the British navy in 1794 d. Washingtons defeat of a large Native American force in 1790 Which executive department works to ensure "that consumers receive safe, reliable and reasonably priced telecommunications, transportation, electric and natural gas services from financially viable and technically competent companies?"the Department of Laborthe Department of Agriculturethe Public Service Commissionthe Office of the Secretary of State What is the relationship between wind and ocean waves Simplify the expression 75/153 completely. Choose all the right awnsers. each new cell produced by mitosis: 1) obtains new traits.2) inherits all traits from its parent.3) is identical to the parent's structure.4) is different. What resource did Adolf Hitler want to capture by attacking the southern Soviet Union? What is the energy of an object in motion Mary thinks of herself as a warm, caring person. she is content with her life and believes that others enjoy her company. these thoughts and feelings that mary has about herself comprise her _____. Have you ever thought about the number of times your heart beats in a life time? Consider the average life span of 75 years and the average heart beat of 1.2 heartbeats per second. Estimate, using scientific notation, the number of times your heart will beat in your lifetime. When Angie stands up in front of a group of people, all of the eyes focused on her make her heart feel as if it is pumping at a million beats per minute, her palms get sweaty and her knees feel very shaky. Angies apprehension probably comes from her: Which substance found in fossil fuels can form a harmful acid when the fuel is burned? If youre going to an Avalanche area What should you do to prepare select the three correct answers The Arts and Crafts movement came about as a reaction to The following table represents the sample space of rolling two number cubes.1 2 3 4 5 61 1-1 1-2 1-3 1-4 1-5 1-62 2-1 2-2 2-3 2-4 2-5 2-63 3-1 3-2 3-3 3-4 3-5 3-64 4-1 4-2 4-3 4-4 4-5 4-65 5-1 5-2 5-3 5-4 5-5 5-66 6-1 6-2 6-3 6-4 6-5 6-6How many favorable outcomes are there for the event "rolling exactly one even number"? . Why do carpenters use a screw instead of nails to join two pieces of wood? What type of transformation is demonstrated in the following figure?Image by Phoebe BakerA.dilationB.reflectionC.rotationD.translation A population of Purple Gorillas feeds entirely on plants. But some of these Gorillas are good at digesting Plant A, while others are good at digesting Plant B. Still other Purple Gorillas are good at digesting Plant C. What might be an advantage of a single population of animals, such as the Purple Gorilla, having a very large amount of variability surrounding certain traits? A. There is no evolutionary advantage to this situation. B. It increases the chance that some members of the population will survive under changing environmental conditions. C. It makes it more difficult for poachers to hunt them. D. It makes it less likely that the population will split into different species, when selective pressures are increased. if you exhale 7.2510 to the 24th power molecules of CO2. How many moles of CO3 do you exhale?