You are considering two investment opportunities. For investment A there is a 25% chance that you lose $20,000, a 50% chance that you break even, and a 25% chance that you make $80,000. For investment B there is a 30% chance that you lose $50,000, a 50% chance that you break even, and a 20% chance that you make $180,000. Based on the expected value of each, which investment should you make?

Answers

Answer 1

The answer is investment B.

Solution:
For investment A - the expected value of the investment is
($20,000) * 25% = ($5,000)
$80,000 * 25% = $20,000
$15,000

For investment B - the expected value of the investment is
($50,000) * 30% = ($15,000)
$180,000 * 20% = $36,000
$21,000

So you can gain more by $6,000 if you choose investment B.

Answer 2

Answer:

For investment A - $15,000

For investment B - $21,000

So you can gain more by $6,000 if you choose investment B.

Step-by-step explanation:

Related Questions

A skier leaves an 8-foot-tall ramp with an initial vertical velocity of 28 feet per second. the function h = −16t^2 28t 8 represents the height h (in feet) of the skier after t seconds. the skier has a perfect landing. how many points does the skier earn? 1 point per foot in the air, 5 points per second in the air, and a perfect landing is 25 points.

Answers

The skier earns 35.875 points.

We can find the height in the air by using -b/2a:
-28/2(-16) = -28/-32 = 0.875

This will give the skier 0.875 points.

To find the amount of time in the air, we solve the related equation:
0=-16t²+28t+8

We will first factor out the GCF, -4:
0=-4(4t²-7t-2)

Now we will factor the trinomial in parentheses using grouping. We want factors of 4(-2)=-8 that sum to -7; -8(1) = -8 and -8+1=-7. This is how we will "split up" bx:
0=-4(4t²-8t+1t-2)

Now we will group the first two and last two terms:
0=-4[(4t²-8t)+(1t-2)]

We will factor out the GCF of each group:
0=-4[4t(t-2)+1(t-2)]

This gives us the factored form:
0=-4(4t+1)(t-2)

Using the zero product property, we know that either t-2=0 or 4t+1=0:
t-2=0
t-2+2=0+2
t=2

4t+1=0
4t+1-1=0-1
4t=-1
4t/4 = -1/4
t=-1/4

Negative time makes no sense, so t=2. This gives the skier 5(2) = 10 points.

Counting the perfect landing, we have 25+10+0.875 = 35.875 points.

Final answer:

The skier earns approximately 27 points.

Explanation:

To find the total points earned by the skier, we need to calculate the time it takes for the skier to reach the ground. In this case, the height function h = -16t^2 + 28t + 8 represents the height of the skier after t seconds. To find the time it takes for the skier to reach the ground, we need to find the value of t when h = 0.

Setting h = 0, we get:

-16t^2 + 28t + 8 = 0

Using the quadratic formula, t = (-b ± sqrt(b^2 - 4ac)) / (2a), where a = -16, b = 28, and c = 8:

t = (-28 ± sqrt(28^2 - 4(-16)(8))) / (2(-16))

Simplifying the equation, we get:

t = (-28 ± sqrt(672)) / -32

t = (-28 ± 26) / -32

Since the skier has a perfect landing, we can disregard the negative value and take the positive value of t:

t = (-28 + 26) / -32

t = -2 / -32

t = 1/16

This means the skier takes 1/16 seconds to reach the ground. To calculate the total points earned, we need to find the total time the skier is in the air. Since the skier starts with an initial vertical velocity of 28 ft/s, we can use this velocity to find the time it takes to reach the ground:

t = h / v

t = 8 / 28

t = 2/7 seconds

Therefore, the skier is in the air for 2/7 seconds. To find the total points earned:

Points = (h * 1) + (t * 5) + 25

Points = (8 * 1) + ((2/7) * 5) + 25

Points = 8 + (10/7) + 25

Points = 189/7

So, the skier earns approximately 27 points.

A truck tire has a diameter of 4 feet and is revolving at a rate of 45 rpm. at t = 0, a certain point is at height 0. what is the height of the point above the ground after 15 seconds?

Answers

45 rpm=2π rad*45/60=1.5π rad/sec
radius=1.5 ft
axle at 2 ft and up and down from there:
thus
y=2-1.5cos(1.5πt)
to make y=0 at 0
at 15 sec
y=2-1.5cos(15*1.5π)
y=2-0
y=2 ft

Isabel divided 32 by 8 and got 4. She says that if she divides 32 by 4,the quotient will be greater than 4. Is she correct? Explain.

Answers

Yes, she is absolutely correct because 32/4=8

8>4 so it make sense.

Find the solution of this system of equations. Separate the x- and y- values with a comma. x+4y=1 and x-y=1

Answers

Equation 1: x+4y=1
Equation 2: x-y=1

solve equation 2 for x: x=1-y
substitute 1-y into equation 1: (1-y) +4y=1
solve for y: 1-y+4y=1
1+3y=1
3y=0
y=0
Substitute y=0 into equation 2: x-(0)=1
x=1
Solution: (1,0)

You play darts with a friend. The board is a circle with a 6-inch radius. The “Bull’s Eye” is a smaller circle in the center of the board with an 0.25-inch radius. You throw darts (small metal arrows) at the board. At the end of six weeks, she has thrown 500 darts. She hit the board every time and hit the Bull’s Eye 1 time If you throw 500 darts, how many times should you expect to hit the Bull’s Eye by random chance? Compare this result to your friend’s result. Is she a skilled player for hitting the bull’s eye or is the result of hers expected?

Answers

The area of the board = πr² = 36 π square inches
Area of the Bull's eyes = πr² = 0.0625 π square inches

If a dart is thrown at random, the probability that it will hit the bull's eye can be calculated as:

Area of Bulls's Eyes divided by Area of Complete Board

So, probability of hitting the bulls'e eye = 1/576 = 0.001736

The friend hit Bull's eye once in a 500 throws. So the probability of hitting the Bull's eyes will be = 1/500 = 0.002

If we compare the two probabilities, they are close to each other. So we can conclude that the friend is not a skilled player and she hit the bull's eye just by chance.

PLS HELP ME ASAP WITH C!! (SKETCH A LINE THAT REPRESENTS THE DIFF SHAPES)

- ALSO INDICATE WHICH LINE IS WHAT FUNCTION

THANK YOU!!

(Random answers gets moderated!)

Answers

Since the cross section is of uniform width (front to back), the fill rate (rate of change of depth vertically) is inversely proportional to the horizontal (side-to-side) dimension.

a) The horizontal width is narrow near the bottom, so the fill rate will be relatively fast until the depth where the width changes. Then the fill rate will slow to perhaps 1/3 of what it was.

b) The horizontal width is a linearly decreasing function of depth, so the fill rate will be increasing on a hyperbolic curve--increasingly fast as the depth increases.

c) This is the reverse of case (a). The fill rate is initially slow, then jumps dramatically when the depth reaches the point where the horizontal width suddenly narrows.

It is not clear whether you are supposed to graph fill rate as a function of depth or as a function of time. The desriptions are for fill rate. If you want to graph versus time, these descriptions apply to the slope of the curve, not its level.

Find the geometric mean of 125 and 5.

Answers

The geometric mean would have to be 25.

The diameter of a circle has endpoints (-3, 2) and (3, -2) which is closest to the length of the diameter of the circle?

Answers

D=√((x2-x1)²+(y2-y1)²)

D=√((x2-x1)²+(y2-y1)²) = √(3-(-3))²+(-2-2)²) = √(6² + 4²)=√(36+16)=√52
D=2√13≈7.21

[tex]\text{Diameter = } \sqrt{(2+ 2)^2+ (-3-3)^2 } = \sqrt{16 + 36} = \sqrt{52} = 7.21 \text{ units}[/tex]

Answer: Diameter = 7.21 units

I am struggling with Parts B and D of this calculus question. I think that Parts A and C are OK. I wonder if Parts B and D require the graph that I drew for Part A?

Answers

For part B, you are correct as far as you've gone. There is no algebraic solution to your equation. A graphing calculator or Newton's Method iteration can get you to a solution fairly quickly.
a ≈ 1.114157141

For part C, you need to consider your answer. For a=0, the equation is that of a straight line, so there is no inflection point at x=1. For cos(a)=0, there are an infinite number of possible values of [tex]a[/tex] that will put a point of inflection at x=1. As you have noted, a=π/2 is only one of them in the range 0 < a < 4.

For part D, again you have stopped part way to the answer. Consider what values of [tex]a[/tex] will make [tex]a \sin(ax)[/tex] strictly greater than 1. There aren't any. The sine function always crosses zero. This part of the question has no solution.

Jon has 8 blue marbles and 4 red marble sin a bag. he took 1 marble from the bag na fthen a second marble without replacing the first one. assuming a red marble was selected first, what is the probability that jon selected a red marble both times

Answers

Since there are 12 marbles in total, he takes only one of them.

4/12, and he gets a red one.

If he doesn't replace the first one, the next one would be 3/11. The probability that Jon selected a red marble both times is 1/11.

(I kind of forgot this lesson, but here's my guess.

The function g(x)=(x-2^2. The function f(x)=g(x) +3

The function f(x) is shifted horizontally how many places to where ?

The function f(x) is shifted vertically how many places where ?

Answers

the parent function is:
y = x ^ 2
Applying the following function transformation we have:
Horizontal translations:
Suppose that h> 0
To graph y = f (x-h), move the graph of h units to the right.
We have then:
g (x) = (x-2) ^ 2
Then, we have the following function transformation:
Vertical translations
Suppose that k> 0
To graph y = f (x) + k, move the graph of k units up.
We have then that the original function is:
g (x) = (x-2) ^ 2
Applying the transformation we have
f (x) = g (x) +3
f (x) = (x-2) ^ 2 + 3
Answer:
the function f(x) moves horizontally 2 units rigth.
The function f (x) is shifted vertically 3 units up.

Answer:

The function f(x) moves horizontally 2 units right.

The function f (x) is shifted vertically 3 units up.

Step-by-step explanation:

the distance between bay town and oak glen is 175 miles. if the equation y=-x+175 represents the distance left to travel to oak glen, what does the domain represent? what is the domain?

a) time left to reach oak glen; x>0
b) distance left to reach oak glen; x>0
c) time it takes to travel oak glen; x>0
d) distance traveled since leaving bay town; x>0

Answers

The domain is
the distance traveled since leaving bay town; x>0.

The set of input values is distance traveled and it will make the 175 miles decreaxse.

The correct option is D, distance traveled since leaving bay town; x>0.

What is the domain and range of a function?

The domain of a function is the set of x values for which it is defined, whereas the range is the set of y values for which it is defined.

Given that the distance between bay town and oak glen is 175 miles. If the equation y=-x+175 represents the distance left to travel to oak glen.

Since the distance left to travel to oak glen can be 0 this will be when you reach Oak glen, while the minimum will be when the journey is just started and you haven't travelled even a single mile.

Therefore, the domain of the function is from 0 to 175, and the domain represents the distance traveled since leaving the bay town.

Hence, the correct option is D, distance traveled since leaving bay town; x>0.

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If a triangle’s original dimensions are 24 cm by 40 cm, which triangle would be an enlargement of the original by a scale factor of 2.2?

Answers

we have that
a triangle’s original dimensions are 24 cm by 40 cm
scale factor=2.2
then
a triangle’s enlargement dimensions=[scale factor]*original dimensions

a triangle’s enlargement dimensions=[2.2]*24------> 52.8 cm
a triangle’s enlargement dimensions=[2.2]*40------> 80 cm

the answer is
a triangle’s enlargement dimensions will be 52.8 cm by 80 cm

Answer:

52.8cm

88com

Step-by-step explanation:

A right rectangular prism has base dimensions of 3 inches by 12 inches and a height of 5 inches. An oblique rectangular prism has base dimensions of 4 inches by 9 inches and a height of 5 inches. Are the volumes the same?

Answers

Volume of right rectangular prism = Length x Width x Height
Using the given dimensions, we can write:

Volume of right rectangular prism = 3 x 12 x 5 = 180 cubic inches

Volume of oblique rectangular prism = Base Area x Height
Base Area = 4 x 9 = 36 square inches

So, Volume of oblique rectangular prism = 36 x 5 = 180 cubic inches

Thus, we can conclude that the two volumes are the same.

A lady bought plates and bowls, 24 items in all. The price of each bowl was 60 cents; the price of each plate was 75 cents. The cost of the whole purchase was $15. How many plates did the lady buy?

Answers

plate bowl total
.60 .75 1.35
8.4(14) 7.5(10) 15.9
7.8(13) 8.25(11) 16.05
9.6(16) 6(8) 15.6
9(15) 6.75(9) 15.75
13.8(23) .75 14.55
13.2(22) 1.5(2) 14.7
12.6(21) 2.25(3) 14.85
12(20) 3(4) 15

answer: 4

The number of assists per match for the setter on your school's volleyball team has a mean of 58 and a standard deviation of 7. if in the last game he made 77 assists, how many standard deviations is that from the mean? 1.36 standard deviations below the mean 2.71 standard deviations above the mean 1.36 standard deviations above the mean 2.71 standard deviations below the mean

Answers

Given that mean=58
standard deviation=7
thus
77 is (77-58)=18 away from 58
This will be:
19/7=2.71

standard deviations from the mean.

Answer: 2.71 standard deviations above the mean

Answer:

(B)

Step-by-step explanation:

It is given that The number of assists per match for the setter on your school's volleyball team has a mean of 58 and a standard deviation of 7.

Also, in the last game he made 77 assists, therefore

[tex]77-58=19[/tex] assists away from the mean.

Thus, To get the number of standard deviation that 77 is from the mean, we get the z-score which is given as:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Substituting the given values, we get

[tex]z=\frac{77-58}{7}[/tex]

[tex]z=\frac{19}{7}[/tex]

[tex]z=2.71[/tex]

Thus, there are 2.71 standard deviations above the mean.

Hence, option B is correct.

Each letter of the alphabet is written on a piece of paper and put in a hat. If a piece of paper is chosen at random, what is the probability that it will be a vowel?

The number of favorable outcomes is .

The number of possible outcomes is .

So P(vowel) = , or about percent.

Answers

Number of favourable outcomes = 5

Number of possible outcomes = 26

P(vowel) = 5/26

Answer: 5/26

The probability of pulling a vowel out of the hat is [tex]\frac{5}{26}[/tex]

The number of favorable outcomes is [tex]5[/tex]

The number of possible outcomes is [tex]26[/tex]

The number of possible outcomes is the size of the sample space.

Since the sample space

[tex]S=\{\text{all the letters of the alphabet in the hat}\}[/tex]

then, the number of possible outcomes is

[tex]|S|=26[/tex]

The number of favorable outcomes is possible number of vowels that can be gotten from the hat. Since the set of vowels

[tex]V=\{a,e,i,o,u\}[/tex]

then, the number of favorable outcomes is

[tex]|V|=5[/tex]

The probability of pulling a vowel out of the hat

[tex]P(V)=\frac{\text{number of favorable outcomes}}{number of possible outcomes}=\frac{5}{26}[/tex]

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Which graph represents g(x)=(x−3)2−5 ?

Answers

The graph has vertex (3, -5),
and it is looking upward because it is positive coefficient in front of (x-3)²
Correct answer is A.

Final answer:

The graph of g(x) = (x-3)^2 - 5 is a parabola that opens upwards. The vertex is located at (3, -5) and the function values are negative when x is less than 3.

Explanation:

The graph of the equation g(x) = (x-3)^2 - 5 is a parabola. The vertex of the parabola is located at the point (3, -5), and the parabola opens upwards because the coefficient of the quadratic term is positive. When x is less than 3, the function values are negative, and when x is greater than 3, the function values are positive.

Finish the pattern, 1, 2, 6, 22, __, __?

Answers

The pattern is times 4, minus 2. So, 22 x 4 = 88-6 = 86, then 86 x 4 = 344-2 = 342
So,
1, 2, 6, 22, 86, 342 is your answer

I think the pattern goes like this 1, 2, 6, 22, 86, 342

aina, Kareem, and David have a total of $92 in their wallets. Kareem has $7 less than Raina. David has 3 times what Kareem has. How much do they have in their wallets?

Answers

Answer: Kareem has $17, David has $51, Raina has $24

-----

Step 1:
Solve this by using a system of equations. Start by changing what you're given from words into equations. Put variables in for the peoples' names. Let's say Raina = R, Kareem = K, and David = D. You will have 3 equations:
1) Raina, Kareem, and David have a total of $92 in their wallets.
R + K + D (sum of all three) = 92 (total)

2) Kareem has $7 less than Raina
K = R - 7 (seven less than Raina)

3) David has 3 times what Kareem has.
D = 3K (three times Kareem)

-----

Step 2:
You can solve for the values of R, K, and D using substitution. Let's put the first equation, R + K + D = 92, all in terms of one variable, so we can solve for that variable. Since both equations 2 and 3 have K in relation to one of the other variables, I will be putting equation 1 in terms of K! Do this by substitution some equation of K in for variables R and D in the first equation.

From equation 2, we know that K = R - 7. Add 7 to both sides, making R = K + 7.
From equation 3, we know that D = 3K. This is already in perfect form to substitute.

Now substitute both R = K + 7 and D = 3K into the first equation. Simplify and solve for K:
R + K + D = 92
(K + 7) + K + (3K) = 92
5K + 7 = 92
5K = 85
K = 17

Kareem has $17 in his wallet.

-----

Step 3:
Now that you know K = 17, plug that into equation 3, D = 3K, and solve for how much David has:
D = 3K
D = 3(17)
D = 51

David has $51 in his wallet.

-----

Step 4:
Finally, plug K = 17 into equation 2, K = R - 7, to find how much Raina has:
K = R - 7
17 = R - 7
R = 24

Raina has $24 in her wallet.

Final answer:

Kareem has $17, Raina has $24 ($17 + $7) and David has $51 (3 x $17).

Explanation:

Let's represent the amount of money that Kareem has in his wallet as 'K'. Since Kareem has $7 less than Raina, we can represent Raina's amount of money as 'K + 7'. David has 3 times what Kareem has, so we can represent David's amount of money as '3K'.

According to the problem, the sum of all three amounts is $92. So we can set up the equation: K + (K + 7) + 3K = 92.

Combining like terms, we get 5K + 7 = 92. Subtracting 7 from both sides, we have 5K = 85. Dividing both sides by 5, we find that K = 17. Therefore, Kareem has $17, Raina has $24 ($17 + $7) and David has $51 (3 x $17).

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A 12' by 20' rectangular garden is to have a walkway of uniform width added around its entire perimeter. if the area of the walkway is 68 square feet, find the width of the walkway.

Answers

I believe you will have to times 12’ by 20’ then divide 68 by it I hope this helps

In the school election, votes were cast for sam, mary, and bill in the ratio of 4:3:2. if a total of 2178 votes were cast, how many votes did mary receive?

Answers

2178÷(4+3+2)=242
Sam's votes=242×4=968
Mary's=242×3=726
Bill's=242×2=484

Mary received 726 votes.

Joylin receives a 50 gift card for the local movie theater for her birthday. She uses the card to purchase tickets and snacks for her family.if joylin spends $6more on tickets than she does on snacks, how much does joylin spend on tickets.

Answers

Let amount spent on snacks be x
amount spent on tickets be x+6

So, x+(x+6) = 50
2x = 44
x = 22 (44/2)
so, (x+6) = 22+6 = 28

Final answer is $28

Answer:

Step-by-step explanation:

edge 2020

In a right triangle, the measure of one acute angle is 13°. What is the measure of the other acute angle?
32°
77°
90°
167°

Answers

77° is your answer.

-JJ

The sum of the angles in a triangle is always 180 degrees. In a right triangle, one angle is 90 degrees, and given that one acute angle is 13 degrees, the measure of the other acute angle is 180 - 90 - 13, which equals 77 degrees.

In the context of Euclidean geometry, we have a well-established theorem which stipulates that the sum of the angles in any triangle equals 180 degrees. Since we are dealing with a right triangle, we know that one of its angles measures 90 degrees. The question states that one acute angle measures 13 degrees. To find the measurement of the other acute angle, we subtract the known angles from 180 degrees.

180 degrees (sum of all angles in a triangle) - 90 degrees (right angle) - 13 degrees (given acute angle) = 77 degrees.

Therefore, the measure of the other acute angle is 77 degrees.

A boat traveled upstream a distance of 90 miles at an average speed of (v-3) miles per hour and then traveled the same distance downstream at an average of (v+3) miles per hour. if the trip upstream took half an hour longer than the trip downstream, how many hours did it take the boat to travel downstream?

Answers

Trip upstream took 90v−390v−3 hours and trip downstream took 90v+390v+3 hours. Also given that the difference in times was 1212 hours --> 90v−3−90v+3=1290v−3−90v+3=12;

90v−3−90v+3=1290v−3−90v+3=12 --> 90(v+3)−90(v−3)v2−9=1290(v+3)−90(v−3)v2−9=12 --> 90∗6v2−9=1290∗6v2−9=12 --> v2=90∗6∗2+9v2=90∗6∗2+9 --> v2=9∗(10∗6∗2+1)v2=9∗(10∗6∗2+1) --> v2=9∗121v2=9∗121 --> v=3∗11=33v=3∗11=33;

Trip downstream took 90v+3=9033+3=2.590v+3=9033+3=2.5 hours.

Anyone know the answer?

Answers

3. Both are supplementary to angle BCE
4. Angle 2 = Angle 1

A restaurant offers 88 appetizers and 99 main courses. in how many ways can a person order a two-course meal

Answers

Number of ways = 88 x 99 = 8712

Answer: 8712

From a carton containing 50kg of sugar 24 half-kilogram packets were taken . How many kilograms of sugar remained?

Answers

24 half-kg packets = 24 x 1/2 = 12kg

Sugar remained = 50 - 12 = 38 kg

Answer: 38 kg

Find the value of each variable. If your answer is not an integer, express it in simplest radical form. Please explain how you got the answer! I can't figure it out.

Answers

For y we have:
sine (60) = y / 14
Clearing y we have:
y = 14 * sine (60)
Rewriting:
y = 14 * (root (3) / 2)
y = 7 * root (3)

For x we have:
cosine (60) = x / 14
Clearing x we have:
x = 14 * cosine (60)
x = 14 * (1/2)
x = 7

Answer:
the value of each variable is:
y = 7 * root (3)
x = 7

In the given right triangle, x and y are 7 and 7√3 respectively.

What is the sine of an angle?

Sine of an angle = [tex]\frac{OPPOSITE SIDE}{HYPOTENUSE}[/tex]

From the diagram, we can see that y is the opposite side to angle B while x is the adjacent side while 14 is the hypotenuse.

Sin α = opposite side/ hypotenuse

Sin 60° = y/14(given)

y = 14sin60

y=7√3

Cos α = adjecent side / hypotenuse

Cos60° = x/14(given)

x = 14cos60

x= 7

So, for the given right triangle x and y are 7 and 7√3 respectively.

Therefore, In the given right triangle, x and y are 7 and 7√3 respectively.

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Trey's mom planted an 18 feet by 20 feet garden in his back yard. this new garden reduced the area of trey's backyard by 24%. which answer choice best represents the total area of the back yard

Answers

Ok so the answer should be 1500 square feet

The garden area is given by:

[tex] A = (18) * (20)

A = 360
[/tex]

We are looking for the backyard area now.

For this, we make the following rule of three:

360 ---------------------> 24%

x -------------------------> 100%

From here, we must clear the value of x.

We have then:

[tex] x = (100/24) * (360)

x = 1500 ft ^ 2
[/tex]

Answer:

The total area of the back yard is:

[tex] x = 1500 ft ^ 2 [/tex]

Other Questions

How did americans react to president wilson stroke? Explain the effects of pulling too wide in the breast stroke in kinesiological terms. The breast stroke in swimming terms. Sharecropping allowed African Americans some control over how they divided their time. when they paid the landlord. how much they spent on seeds. when they went to school. Where did the greek gods gets there names from? During the second and third trimesters, the daily caloric needs of a pregnant woman increase by as much as Which design principle relates to achieving a visually pleasing interrelationship of the sizes of different parts of a garment?a.) emphasisb.) balancec.) repetitiond.) proportion Who was the French ruler that laid plans for empires in Europe and the Americans Bedrock and sediment in a stream is most susceptible to erosion if it is: Ebbinghaus found that learning words related to previously stored material required much less effort than learning nonsense syllables. this best illustrates the advantage of Given: KLMN is a trapezoid, KF =10 MF LK AKLMF = AFMN Find: KN Each letter of the alphabet is written on a piece of paper and put in a hat. If a piece of paper is chosen at random, what is the probability that it will be a vowel?The number of favorable outcomes is .The number of possible outcomes is .So P(vowel) = , or about percent. When two homozygous plants with contrasting traits are crossed, what are the exoected genotypes for the offspring? Why do cells need matter? If a car is traveling on the highway at a constant velocity, the force that pushes the car forward must be A. equal to the weight of the car. B. greater than the force of friction exerted upon the car. C. equal to the force of friction exerted upon the car. D. greater than the weight of the car. Which place do you think you would most like to live in: a rural area, a suburb, or a city? Why do you think you would choose this area? Provide at least 1 full paragraph 10 new words in the book the girl who drank the moon A reception is when _____.the quarterback hands the ball to the running backthe receiver catches the ball thrown by the quarterbackthe receiver drops the ball thrown by the tight endthe kicker makes a field goal Why might alexandria choose a local movie theater when she could see the same movies for less at a corporate establishment? getting the lowest price on theater tickets is most important to her. she prefers to support local business, even at an added cost. she values lower prices more than support of local business. the movie tickets cost too much at the corporately-owned theater? A recycling bin in the The shape of a rectangular prism has a volume of 9720 cubic inches. The base area is 324 square inches, what is the height of the recycling bin? The _______ era featured the longest periods with no life forms on earth.