Given the following information: P(D) 0.7, P(E) = 0.2 and P(D and E) = 0.15.
Find P(DIE):

Answers

Answer 1

According to the given statement

P(D) 0.7, P(E) = 0.2 and P(D and E) = 0.15.

P(DIE):0.75

What is Conditional Probability?

The possibility of an event or outcome occurring conditional on the occurrence of a prior event or outcome is known as conditional probability. The conditional probability is calculated by multiplying the probability of the previous event by the present probability of the upcoming, or conditional, occurrence.

Contrast Unconditional probability with conditional probability. The possibility that an event will occur regardless of whether any previous occurrences have occurred or any other circumstances are present is known as Unconditional probability.

According to the given value;

P(DIE): 0.15/0.2

            =0.75.

hence,P(DIE):0.75.

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Related Questions

Convert 6000 meters into miles. Round your answer to the nearest hundredth

Answers

Answer:

3.73

Step-by-step explanation:

The hundredths place is two places to the right of the decimal so the number doesn't need to change.


Solve equation.
27-6 d=7+4 d

Answers

Answer:

27-7=4d+6d

20=10d

d=20/10

therefore; d=2

Can+you+provide+a+cut-off+time+by+which+you+can+be+99%+sure+that+the+baseball+game+would+end?

Answers

We can be 99% certain the baseball game will end by 5.22pm.

What does the term "cut-off" signify in mathematics?

A cut-off Number is a number mentioned in the applicable Final Terms as such, or if no number is provided, the Specific Number is presumed to be five.

What exactly is the cut-off probability?

In binary classification, the threshold or cut-off represents the chance that the prediction is correct. It represents the cost of false positives or false negatives.

According to the given information:

Let the cutoff be A.

so,

P(X ≤ A) = 0.99

[tex]P\left(\frac{X-\mu}{\sigma} \leq \frac{a-2.5}{0.37}\right)=0.99[/tex]

[tex]P\left(Z \leq \frac{a-2.5}{0.37}\right)=0.99[/tex]

[tex]\Phi\left(\frac{a-2.5}{0.37}\right)=\Phi(2.33)\\[/tex]

(a - 2.5)/.37 = 2.33

a = 3.3621

a = 3hours and (0.3621 * 60) = 22 minutes

We can be 99% certain the baseball game will end by 5.22pm.

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I understand that the question you are looking for is:

The probability that the baseball game will cut into the program is 0.0885.

Can you provide a cut-off time by which you can be 99% sure that the baseball game would end?

PLEASE HELP WITH HOMEWORK

Answers

Supplementary angles have a sum of 180°

Therefore, we can add the expressions for Angles A and B and set their sum equal to 180.

( 7x - 15 ) + ( 2x - 3 ) = 180

Now we can combine like terms and use inverse operations to find the value of x:

( 7x - 15 ) + ( 2x - 3 ) = 180

9x - 18 = 180

9x - 18 + 18 = 180 + 18

9x  = 198

9x/9 = 198/9

x = 22

Then Angle A will have a measure of 7x - 15 or 7• 22 -15 = 154 - 15 = 139°

m∠A = 139°

The measure of Angle b will be 2x - 3 = 2 • 22 - 3 = 44 - 3 = 41°

m∠ B = 41°

NOTE:  139 + 41 = 180

The diagram below consists of a square with unknown side lengths and an inscribed circle. What is the probability that a randomly selected point of the diagram lies within the circular region? State your answer in exact form and explain how you found it.

Answers

The probability that a randomly selected point of the diagram lies within the circular region as requested in the task content is; π/4.

What is the probability that the a randomly selected point on the diagram lies within the circular region?

It follows from the task content that the probability that a randomly selected point of the diagram lies within the circular region is to determined.

This probability in discuss is equal to the ratio of the area of the circle to the area of the rectangle.

Consequently, the area of the circle is equal to;

πr².

However, since the side length of the square, which is the diameter of the circle is; 2r; it follows that it's area is;

2r × 2r = 4r².

Therefore, the probability is; πr²/4r².

When expressed in its simplest exact form, we have;

π/4.

Therefore, The probability that a randomly selected point of the diagram lies within the circular region as requested in the task content is; π/4.

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WILL GIVE BRAINLIEST IF ANSWERED PROPERLY AND POINTS, WILL REPORT IF U SPAM

Answers

Answer:

Step-by-step explanation:

[tex]\displaystyle\\ax+by=c\\\\by=c-ax\\\\\frac{by}{b}=\frac{c-ax}{b} \\\\y=\frac{c-ax}{b}[/tex]

Answer: Basically, bottom is first. The top is second, and the middle one is last.

Step-by-step explanation:

1. Super Duper Easy, first, subtract ax, making it by = c - ax

2. Then, divide b , so by/b = c/b - ax/b

3. Becoming y = c/b - ax/b

Approximately 3 people out of every 30 are left handed. About how many left handed people would you expect in a group of 140 people?

Answers

14 left handed people would you expect in a group of 140 people .

According to the question, 3 people are left handed out of every 30 people.

We can solve this using unitary method ,

out of every 30 people  left handed  are 3 people                 out of every 1 people  left handed  are 3/30 peopleout of every 140 people  left handed  are 3/30 × 140 = 14 people .

                 

14 left handed people would you expect in a group of 140 people.

Another method:

Based on the given conditions, formulate : 140 * 3 / 30

Reduce the fraction : 14

get the result 14

Answer 14

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Two adjacent angles (two angles that share
a common side and vertex) form a straight
angle. One of the angles measures 140°.
What is the measure of the other angle?

Answers

The value of the other angle will be 40°.

How to calculate the angle?

It should be noted that the value of the angle on a straight line equals to 180°.

In this case, the adjacent angles (two angles that share a common side and vertex) form a straight

angle and one of the angles measures 140°.

The value of the other angle will be:

= 180° - 140°

= 40°

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Six friends each use a $2-off coupons to buy themselves a movie tickets. They sped be a total of $42. What is the price of one movie ticket without the coupon?

Answers

Answer:

Since there are a total of six friends and they each use a $2 off coupon then what you first want to do is multiply:

2 times 6 = 12

Then you want to add:

42 + 12 = 54

So the total that they would have spent without the discount would be $54.

Step-by-step explanation:

Hope it helps! =D

A runner has run 1.192 kilometers of a 10-kilometer race. How much farther does h
need to run to finish the race? Show your reasoning. How do I solve this

Answers

The runner has to run more 8.808 km to finish the race.

What do we mean by mathematical operations?In mathematics, an operation is a function that converts zero or more input values (also known as "operands" or "arguments") to a well-defined output value. The number of operands determines the operation's complexity.The most commonly studied operations are binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive inverse and multiplicative inverse. A constant is an arity zero operation, also known as a nullary operation. A mixed product is an example of an arity 3 operation, also known as a ternary operation.

So, the runner ran 1.192 km out of 10 km.

Then, the remaining distance:

10 - 1.192 = 8.808km

Therefore, the runner has to run more 8.808 km to finish the race.

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Assume x is a random variable with discrete uniform distributionstarting from 1000 and ending to 1500.(10 points). what are the mean and variance of the distribution.

Answers

According to the question, let us consider the random variable for the discrete uniform distribution to be x.

What is the discrete uniform distribution?

Uniform distribution is another name for the rectangular distribution. And it is the family of the symmetric probability distribution. It has constant probability and the outcomes are equal in nature.

The standard formula for the mean and the variance of the distribution in terms of the lower bounds(L) and the upper bounds(U) is as follows:

Mean = (L+U)/2 ;

Variance = (L+U)/12

The value of the lower bound(L) is 1000 and the upper bound(U) is 1500.

The calculation is as follows:

Mean = (1000+1500)/2 = 1250

Variance =  (1000+1500)/12 = 208.3

Therefore, the values are: mean = 1250 and variance = 208.3

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In a store opening promotion, Fred advertises T-shirts: "Buy 4 get 1 free." If the cost of 1 T-shirt is $15.97, what is the discount rate, as a percent? ​

Answers

The discount rate, as a percent is 20%

How to determine the discount rate, as a percent? ​

The given parameters are:

Cost of 1 T-shirt = $15.97

Also, we have

4 purchases gives 1 free item

So, the discount rate is

Discount = 1/(1 + 4) * 100%

Evaluate the sum

Discount = 1/5 * 100%

Evaluate the product

Discount = 20%

Hence, the discount rate, as a percent is 20%

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Which conditional has the same truth value as it’s converse

Answers

All statements are true, but if you try to reverse them they won't necessarily be true.

let us start

Square ⇒ Has 4 sides

But if something has 4 sides it doesn't mean it's a square (example: rectangle)

Angle is 80° ⇒ acute angle

But acute angle is any angle below 90°, not just 80° so the reverse isn't true.

x – 17 = 4 ⇒ x = 21

And if we reverse

x = 21 ⇒ x – 17 = 4

we see that it's true for either direction.

x = 7 ⇒ |x| = 7

But |x| = 7 doesn't mean that x has to be 7, x can also be -7, so the reverse isn't true.

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If a car travels at a rate of 74 miles per hour, then how long will it take the car to travel 481 miles?<3

Answers

The answer is 6 hours and 2
30 min

both nadia and samantha are applying to insure their car against theft. nadia lives in a secure neighborhood, where the probability of theft is 10%. samantha lives in a lesser secure neighborhood where the probability of theft is 25%. both nadia and samantha own cars worth $10,000, and are willing to pay $100 over expected loss for insurance. ​if the insurance company can correctly anticipate the adverse selection,

Answers

The minimum will be $ 0. If the theft occurs , company will have to pay the claim. Hence Option B will be correct.

What is probability and example?

The variety of strategies for success. the total number of outcomes that could occur. For instance, there is only one way to receive a head and there are a total of two possible outcomes, hence the probability of flipping a coin and getting heads is 1 in 2. (a head or tail). P(heads) = 12 is what we write.

$ 0 and $ 200

This is because both the insured will pay $ 100 premium each , hence total revenue of company can be $ 200 maximum.

The minimum will be $ 0. If the theft occurs , company will have to pay the claim. Hence Option B will be correct.

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determine the equation of the line that is parallel to the given line (y=-5x+1), through the given point (-2,3)

Answers

Answer:

y=-5x-7

Step-by-step explanation:

For lines to be parallel with one another, that means they have to have the same slope. The slope of this equation is -5

From there we have to find the b (or the y-intercept) of the new equation. To do this we plug in the slope and the x and y from the given point (-2,3) into the equation y=mx+b and solve for b:

3=-5(-2)+b

3=10+b

-7=b

Finally, we make a new equation with the b (-7) and slope (-5):

y=-5x-7

DON'T READ IF YOU DON'T WANT TO/ALREADY KNOW HOW TO DO THIS FOR A LINE PERPENDICULAR TO THE GIVEN LINE:

To find a line perpendicular to (y=-5x+1), you do everything the same as before but instead of using -5 as the slope for your new equation (including the one you use for solving for the new b) you use it's negative reciprocal. That basically means you switch the numbers numerator and denominator and switch the sign. Remember, every whole number has a denominator of 1, so it'll look like this:

-5/1 turns into 1/5

Then you use 1/5 as the slope for the new equation by plugging in the x and y of the given point and solving for b like we did before. Finally you take the 1/5 as the slope and the b you solved for and put those into a equation like you did before and bam.

If you're confused after reading that then forget everything I said.

hope this helps :D

call a positive real number special if it has a decimal representation that consists entirely of digits $0$ and $7$. for example, $\frac{700}{99}

Answers

The smallest n such that 1 can be written as a sum of n

special numbers is 8.

What is a number?

A number is a mathematical concept that is used for counting, measuring, and labeling. The natural numbers 1, 2, 3, 4, and so forth are the original examples. Number terms in language can be used to represent numbers. More commonly, individual numbers can be represented using symbols known as numerals; for instance, the numeral "5" stands in for the number five. Basic numerals are frequently arranged in a numeral system, which is an ordered manner to represent any number, as only a very small number of symbols can be learned. The most widely used numeral system is the Hindu-Arabic numeral system, which enables the depiction of any number using a combination of 10 basic numerical symbols, or "digits."

Calculations:

Suppose 1 = x1 + x2 + · · · + xn where x1, x2, . . . , xn are special and

n ≤ 9. For k = 1, 2, 3, . . . , let ak be the number of elements of {x1, x2, . . . , xn}whose kth decimal digit is 7. Then

1 =7a1}/10 +7a2/10 +7a3/10 + ... ,

which yields

1/7 = 0.142857 =a1 /10 +a2/[tex]10^{2}[/tex] +a3/[tex]10^{3}[/tex] + ... ,

Hence a1 = 1, a2 = 4, a3 = 2, a4 = 8, etc. In particular, this implies that n ≥ 8. On

the other hand,

x1 = 0.700, x2 = x3 = 0.07, x4 = x5 = 0.077777, and x6 = x7 = x8 = 0.000777

are 8 special numbers whose sum is

(700700+2(70707)+2(77777)+3(777))/{999999} =1

Thus the smallest n is 8.

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Find an equation for the perpendicular
bisector of the line segment whose
endpoints are (-8, -2) and (4, 6).

Answers

Answer: y=-1.5x-1

Step-by-step explanation:

A(-8,-2)   B(4,6)    C(x,y) - the midpoint of the line

1. Calculate the coordinates of the midpoint of the segment using the formula:

[tex]\displaystyle\\C(x,y)=(\frac{x_A+x_B}{2} ,\frac{y_A+y_B}{2})\\\\ C(x,y)=(\frac{-8+4}{2},\frac{-2+6}{2})\\\\ C(x,y)=(\frac{-4}{2} ,\frac{4}{2})\\ C(x,y)=(-2,2)\\Thus,\ C(-2,2)[/tex]

2. Find the slope of the line AB using the formula:

[tex]\displaystyle\\The\ slope=\frac{y_B-y_A}{x_B-x_A} \\\\The\ slope=\frac{6-(-2)}{4-(-8)} \\\\The\ slope=\frac{6+2}{4+8} \\\\The\ slope=\frac{8}{12} \\\\The\ slope=\frac{2}{3}[/tex]

3. Find the slope of the line perpendicular to the line AB:

[tex]\displaystyle\\The \ \perp slope=-\frac{1}{the\ slope} \\\\The \ \perp slope=-\frac{1}{\frac{2}{3} } \\\\The \ \perp slope=-\frac{3}{2}[/tex]

4. Find an equation for the perpendicular bisector of the line segment:

[tex]\displaystyle\\The \perp\ slope=\frac{y-y_C}{x-x_C} \\\\-\frac{3}{2}=\frac{y-2}{x-(-2)} \\-\frac{3}{2} =\frac{y-2}{x+2} \\[/tex]

Multiply both parts of the equation by (x+2):

[tex]\displaystyle\\y-2=(-\frac{3}{2} )(x+2)\\\\y-2=-\frac{3}{2}x+(-\frac{3}{2})(2)} \\\\y-2=-\frac{3}{2}x-3 \\\\y-2+2=-\frac{3}{2}x-3+2\\\\ y=-\frac{3}{2}x-1\\\\ y=-1.5x-1[/tex]

Cuál es un número primo divisor de 30?

A. 5

B. 10

C. 6

D. 15

Answers

a)5 is the correct answer !!!

PLEASE SHOW WORK
STEP-BY-STEP

Answers

The solutions for the expressions are given as follows:

6. y = 12.

7. w = -20.

8. x = 30.

What is the solution to expression 6?

The expression is given by:

4/3y = 16.

Applying cross multiplication:

4y = 48

y = 48/4

y = 12.

What is the solution to expression 7?

The expression is given by:

w/(-2.5) = 8

Applying cross multiplication:

w = -2.5 x 8

w = -20.

What is the solution to expression 6?

The expression is given by:

(1/5)x - 2 = 4.

Isolating x:

(1/5)x = 6.

Applying cross multiplication:

x = 6 x 5

x = 30.

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Find the measure of the missing angles.
d =
e
e=
fd
77°
O
31°
ƒ=
0

Answers

The measure of the missing angles are d= 77° , e= 31° ,and f = 72°.

As given in the question,

Angle e is vertically opposite to the given angle 31°

⇒Measure of angle e = 31°

Angle d is vertically opposite to the given angle 77°

⇒Measure of angle d = 77°

Angle e , Angle f and angle d are linear pairs

⇒∠e +∠f +∠d =180°

⇒31° +∠f + 77°=180°

⇒ ∠f =180° -108°

⇒ ∠f =72°

Therefore, the measure of the missing angles are d = 77° , e = 31° and

f = 72°.

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What is the measure of the base of the rectangle if the area of the triangle is ?


A. 8 ft
B. 16 ft
C. 32 ft
D. 64 ft

HELP ME

Answers

I believe that is 32ft

Answer:

32ft

Step-by-step explanation:

You are deciding between two landscaping companies to work on your backyard renovation. Company A charges a $50 fee to come out to your house plus $10 an hour to work. Company B charges $15 per hour and $30 to show up. How many hours will it take for both companies to equal the same price, and how much money will it cost at that time?

Answers

It will take 4 hours for both companies to equal the same price and it will cost $ 90 at that time.

There are two companies:

Company A-
It charges $ 50 to come and $ 10 per hour to work.

Let the number of hours worked be x

The equation will be:

Price of Company A = 50 + 10 x   …(1)

Company B-

It charges $ 30 to come and $ 15 per hour to work.

The equation will be:

Price of Company B = 30 + 15 x    …(2)

Now, for the same prices, we will equate (1) with (2):

50 + 10 x = 30 + 15 x

15 x - 10 x = 50 - 30

5 x = 20

x = 20 / 5

x = 4

At x = 4, price of the companies will be:

A = 50 + 10 (4) = 50 + 40

A = $ 90

B = 30 + 15(4)

B = 30 + 60

B = $ 90.

Therefore, it will take 4 hours for both companies to equal the same price and it will cost $ 90 at that time.

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HELPPP!! Please!! algebra stuff

Answers

The cube root of 27 is 3√t=3, which indicates that 3√t.

Cube root, or the cube root of a number, is simply the square root of that number. It can be used in various mathematical contexts to simplify complicated calculations. For example, when dealing with complex fractions and rational numbers (numbers that have a decimal point), the cube root can be used to solve problems more quickly and accurately.

We are aware that 5×5×5×5 Equals 125. Therefore, 125 is known as the cube of 5. Finding a number's cube root, on the other hand, entails doing the cube operation in reverse and is symbolised by the symbol.

A number x's cube roots are the integers y that answer the equation.

3√t is the cube root of 27,so 3√t=3 .

3√3

3×3×3=27

Hence the correct answer Is option (b) 3√t is the cube root of 27,so 3√t=3 .

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“Rewrite each expression as an equivalent exponential expression.”

Answers

The values of the exponential expressions are follows;

3. [tex] {x}^{m \times n} [/tex]

4. [tex] {\frac{1}{4} }^{16} [/tex]

5. [tex] {( - 3)}^{5} [/tex]

6. [tex] 5.3 \cdot {( - 4)}^{11}[/tex]

7. [tex] {(2.9)}^{10} [/tex]

How can the exponential expressions be simplified?

The given expression that can be used to show the Power of a Power Exponent law are as follows;

3. The Power of a Power Exponent law states that;

[tex] {( {x})^{m} }^{n} = {x}^{m \times n} [/tex]

4. The given expression is presented as follows;

[tex] { ({( \frac{1}{4} )}^{2} )}^{8} ={\frac{1}{4} }^{2 \times 8} = {\frac{1}{4} }^{16} [/tex]

5. [tex] {( - 3)}^{4} \times - 3 = {( - 3)}^{4 + 1} = {( - 3)}^{5} [/tex]

6. [tex]5.3 \cdot {( - 4)}^{11} = 5.3 \cdot {( - 4)}^{11}[/tex]

7. [tex] {(2.9)}^{2} \cdot {(2.9)}^{5} \cdot {(2.9)}^{3} = {(2.9)}^{2+5+3} [/tex]

[tex] {(2.9)}^{2+5+3}={(2.9)}^{10} [/tex]

Therefore;

[tex] {(2.9)}^{2} \cdot {(2.9)}^{5} \cdot {(2.9)}^{3} = {(2.9)}^{10} [/tex]

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if one rectangular lot with 1350' of frontage contains 25 acres, how many acres would the lot next to it contain if it has a 900' frontage and is the same width as the first lot? select one: a. 1.67 acres b. 16.67 acres c. 26.00 acres d. 14.67 acres

Answers

The correct option is b. 16.67 acres would the lot next to it contain if it has a 900' frontage and is the same width as the first rectangular lot.

What do you mean by a rectangle's area?

The quantity of space occupied by a flat surface with a specific shape is referred to as the area. It is calculated as a "number of" square units (square centimeters, square inches, square feet, etc.). The quantity of unit squares that can fit inside a rectangle called its area. Blackboards, painting canvases, laptop monitors, and other flat surfaces are a few instances of rectangular shapes.

Area of a Rectangle = (Length × Breadth) square units.

We know that the Area = Length × Width.

For first lot:

43,560 (sq. ft. in acre) × 25 acres = 1,089,000 sq. ft.

We know that 1,089,000 sq. ft. = Width × 1,350 (length). Therefore width =1,089,000 / 1,350 = 806.67.

From the problem the lots were of the same width.

In second lot: Area =806.67 (width) × 900( length)= 726,000 sq. ft. Therefore:

⇒726,000 (area) / 43,560 = 16.67 acres.

The correct answer is:  b. 16.67 acres

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2015 > Chapter 1: Measuring and Constructing Angles > Section Exercises
11
Find the measure of ZCOD.
10 20
10 170 160 150
m/COD-
do 140 130 120 110 100
A
Classify ZCOD
-88
с
-88
O
100 110 120
LCOD is a(n) acute ✓angle.
D
E
a
B
15 20 10
170 10

Answers

The measure of angle COD will be 85° and it will be an acute angle.

If an angles is less than 90°, it is known as an acute angle. If it is more than 90°, it will be an obtuse angle. And if it is equal to 90, then it is called a right angle.  

Here, we are given a a figure and we need to find the measure of ∠COD.

∠COD can be written as ∠AOB - ∠AOC - ∠DOB

Here, ∠AOB = 180° (straight line)

∠AOC = 30°

and ∠DOB = 65°

Thus, ∠COD = 180 - 30 - 65

∠COD = 180 - 95

∠COD = 85°

As ∠COD is less than 90°, it will be an acute angle.

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-3/7 x 3/8
why do i need 2o characters hello hello hello

Answers

Answer:− 9/56

Step-by-step explanation: hope this helps you!!!!

A map of Québec has a scale of 1:1 500 000. On map, the distance between Trois-Rivières and Québec City is 2⅝ in. What is the distance between these cities to the nearest mile?​

Answers

Hey,

The answer should be 62 miles.

Hope this helps you!

Question f(1)= ?
Please explain

Answers

The coordinates of the given points are:

(-2, 2)(-3, 0)(0, 1)(1, -2)

What is a graph?A graph is a mathematical representation of a network that describes the connection between lines and points. A graph is made up of points with lines connecting them. The length of the lines and the position of the points are irrelevant. Each object in a graph is referred to as a node.

Refer to the diagram to know the coordinates of the given points.

Therefore, the coordinates of the given points are:

(-2, 2)(-3, 0)(0, 1)(1, -2)

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Solve{3x-4}={3x-5} i am totaly confused quizliet a 15-year bond was issued in year 5 at a discount. during year 15, a 10-year bond was issued at face amount with the proceeds used to retire the 15-year bond at its face amount. the net effect of the year 15 bond transactions was to increase long-term liabilities by the excess of the 10-year bond's face amount over that of the 15-year bond's: 1. True or False. The sound of a cat purring is caused by vibrations. O True O False Rosie wanted to calculate the change in temperature today. When she woke up this morning, she recorded the temperature at -10^ F. When she went to bed that night, she recorded the temperature at 8^\F. What was the change in temperature from morning to night? 8. At track practice, a student runs around an oval shaped 400 meter long track 4times. Determine the distance and displacement of the student. examples of a substantive goal are winning, beating the other party, or getting a settlement at any cost. on her tenth birthday linda joness parents decide to deposit $4,000 in a savings account for their daughter. they intend to put an additional $4,000 in the account each year on her 11th, 12th, ..., 17th birthdays. assume that the bank pays lindas parents 8% on positive account balances but charges them 10% on negative balances. the electric field everywhere on the surface of a charged sphere of radius 0.260 m has a magnitude of 525 n/c and points radially outward from the center of the sphere. Write your own sentences with commas, using the above examples as models. Your sentences can be about an experience that you or someone you know had with a trickster or about another topic related to folktales or humor writing. 15.255 is what percent of 28.25? The objective of __________ research is to gather preliminary information that will help define the problem and suggest hypotheses. Community 1 contains 100 individuals distributed among four species: 5A, 5B, 85C , and 5D. Community 2 contains 100 individuals distributed among three species: 30A, 40B , and 30C. Calculate the Shannon diversity ( H ) for each community. Which community is more diverse? $2.01 divided by 2.5 round to the nearest cent? of the 20 standard amino acids, only is not optically active. the reason is that its side chain . What is the name of the government company that makes alcohol, cigarettes, and housing? Carter sold 100 shares of mitsui, inc., for $8,000, but he only recognized $2,000 as income because the original purchase price was $6,000. this is because of the? Solve the equation. Show all steps of your work and justify each step with an algebraic property of equality.-(2x+6)=4x Jack wants to find out which can of pineapples is the Best Buy. He has a choice of four different- sized cans. Which can has the lowest unit price per ounce? A. 8 ounces for $1.44B. 10 ounces for $1.62C. 6 ounces for $1.14D. 18 ounces for 2.88 ( work shown ) f (x)=-x^2+10x find f (-8) While doing research for a paper, the first article you found is one you think is trustworthy. According to sift, after investigating the article, what should you do next?.