f(x)=x+2
g(x) = 3x² - 5
Find (f ·g)(x).

Answers

Answer 1

Step-by-step explanation:

f(x) = x + 2

g(x) = 3x² - 5

= (f.g)(x)

= (x + 2).(3x² - 5)

= 3x³ - 5x + 6x² - 10

= 3x³ + 6x² - 5x - 10


Related Questions

Part of a multiplication table is shown.
15 20 25 30
18
30 36
21
35 42
24 32 40 48
What two numbers are needed to complete the pattern in
the multiplication table?
OA) 21 and 24
OB) 24 and 24
OC) 24 and 28
OD) 21 and 28

Answers

The correct option is C) 24 and 28 for the given multiplication table.

What is defined as the multiplication table?The multiplication table (already known as the time's table) provides multiples of numbers. Multiplying a number by a set of whole numbers yields the multiplication table.

The given multiplication are-

15 20 25 30

This is the table 5 starting with;

5×3 = 15 ....... 5×6 = 30

18 __ 30 36

This is the table of 6 starting with;

6×3 = 18 ....... 6×6 = 36

Thus, the missing number is;

6×4 = 24

21 __ 35 42

This is the table 7 starting with;

7×3 = 21 ....... 7×6 = 42

Thus, the missing number is;

7×4 = 28

24 32 40 48

This is the table of 8 starting with;

8×3 = 28 ....... 8×6 = 48

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The correct question is-

Part of a multiplication table is shown.

15 20 25 30

18 __ 30 36

21 __ 35 42

24 32 40 48

What two numbers are needed to complete the pattern in

the multiplication table?

OA) 21 and 24

OB) 24 and 24

OC) 24 and 28

OD) 21 and 28

At a sale, dresses were sold for $17 each. This price was 85% of a dress's original price. How much did a dress originally cost?

Answers

The original cost of the dress is $14.45

How to calculate the original cost of the dress ?

The dresses were sold for $17 each

This price was 85% of the original price

Therefore the original cost of the dress can be calculated as follows

85/100= 0.85

The first step is to calculate the original pre sale price

17= 0.85x

x= 17/0.85

= 20

The original cost of the cloth is

= 0.85 × 17

= 14.45

Hence the original cost of the cloth is $14.45

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Need help with this paper please

Answers

Answer:

Step-by-step explanation:

a repair bill for your ebike is $188. the parts costs $73 dollars and the cost of the labor is $46 per hour.
a. write an equation that represents this situation.
b. how many hours dud the repair take?

Answers

Answer:

188 = 46x + 73

It took 2 1/2 or 2.5 hours to complete.

Step-by-step explanation:

There is a one time cost of 73 for the parts, but the hours will be 46 per hour.  I know the total cost, so we need to solve for x which is the hours.

188 = 46x + 73  Subtract 73 from both sides of the equation

115 = 46x  Divide both sides of the equation by 46

2.5 = x

Convert the following metric units of length.
100 kilometers to meters
a 100,000 m
b 10,000 m
c 108,076 m
d 109,076 m

Answers

The conversion of 100 kilometers to meters would be,

100 kilometers = 100,000 meters

The correct answer is an option (a)

In this question we need to convert the metric units of length.

We need to convert 100 kilometers to meters.

We know that, 1 kilometer = 1000 meters

Let 100 kilometers = p meters

So, we get an expression,

p × 1 = 100 × 1000

From this expression we get,

p = 100,000 meters

This means, 100 kilometers = 100,000 meters

Therefore, the conversion of 100 kilometers to meters would be,

100 kilometers = 100,000 meters

The correct answer is an option (a)

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A divided by b is 4, then what’s is b divided by a?

Answers

Answer:

the answer is

Step-by-step explanation:

A is more likely to be 12 and B could be 3

so 12/3=4

and

3/12= 0.25

NO LINKS!! Please help me with these problems. Part 9a1​

Answers

Answer:

Domain:  (-∞, -1) ∪ (-1, 3) ∪ (3, ∞)Range:  [0, ∞)Continuity:  Point discontinuity (hole) at x = 3.
Infinite discontinuity (vertical asymptote) at x = -1.NoneDecreasing function:  (-∞, -1) ∪ (-1, ∞)Symmetry:  Neither

Step-by-step explanation:

Given function:

[tex]y=\dfrac{x-3}{x^2-2x-3}[/tex]

Domain

The domain is the set of all possible input values (x-values).

Factor the denominator of the function:

[tex]\implies y=\dfrac{x-3}{(x-3)(x+1)}[/tex]

The domain of the given function is restricted as the function is undefined when the denominator equals zero, and when both the numerator and denominator equal zero.  

Therefore, the function is undefined when x = -1 and x = 3.

Therefore, the domain is (-∞, -1) ∪ (-1, 3) ∪ (3, ∞).

Range

The range is the set of all possible output values (y-values).

As the domain is restricted, the range is also restricted.

Therefore, the range is (-∞, 0) ∪ (0, ¹/₄) ∪ (¹/₄, ∞).

Continuity

A function f(x) is continuous when, for every value [tex]c[/tex] in its domain:

[tex]\text{$f(c)$ is de\:\!fined \quad and \quad $\displaystyle \lim_{x \to c} f(x) = f(c)$}[/tex]

Point Discontinuity (holes): When a rational function has a factor with an x that is in both the numerator and the denominator.

Therefore, there is a point discontinuity at x = 3.

Infinite Discontinuity: A vertical asymptote occurs when the denominator of a rational function is zero. This is considered an infinite discontinuity when the graph exists on both sides of the asymptote.

Therefore, there is an infinite discontinuity at x = -1.

Maximums and Minimums

Stationary points occur when the gradient of a graph is zero.

Therefore, to find the x-coordinate(s) of the stationary points of a function, differentiate the function, set it to zero and solve for x.

[tex]\begin{aligned}y & =\dfrac{x-3}{x^2-2x-3}\\\\\implies \dfrac{\text{d}y}{\text{d}x} & = \dfrac{(x^2-2x-3)(1) - (x-3)(2x-2)}{\left(x^2-2x-3\right)^2}\\\\ & = \dfrac{(x-3)(x+1)-(x-3)(2x-2)}{\left((x-3)(x+1)\right)^2}\\\\& = \dfrac{(x-3)[(x+1)-(2x-2)]}{(x-3)^2(x+1)^2}\\\\ & = \dfrac{(x-3)(-x+3)}{(x-3)^2(x+1)^2}\\\\ & = \dfrac{-(x-3)^2}{(x-3)^2(x+1)^2}\\\\& = \dfrac{-1}{(x+1)^2}\end{aligned}[/tex]

[tex]\begin{aligned}\dfrac{\text{d}y}{\text{d}x} & = 0\\\implies \dfrac{-1}{(x+1)^2} & = 0\\ -1 & \neq 0\end{aligned}[/tex]

Therefore, there are no stationary points and no minimum/maximum points.

Increasing/Decreasing Function

[tex]\textsf{A function is \textbf{increasing} when the \underline{gradient is positive}} \implies \dfrac{\text{d}y}{\text{d}x} > 0[/tex]

[tex]\textsf{A function is \textbf{decreasing} when the \underline{gradient is negative}} \implies \dfrac{\text{d}y}{\text{d}x} < 0[/tex]

Increasing

[tex]\begin{aligned}\dfrac{\text{d}y}{\text{d}x} & > 0\\\implies \dfrac{-1}{(x+1)^2} & > 0\\ \dfrac{1}{(x+1)^2} & < 0\\ \textsf{If $\dfrac{1}{a} < 0$ then $a < 0$}:\\(x+1)^2 & < 0\\ \textsf{As $(x+1)^2\geq 0$, no solution.}\end{aligned}[/tex]

Decreasing

[tex]\begin{aligned}\dfrac{\text{d}y}{\text{d}x} & < 0\\\implies \dfrac{-1}{(x+1)^2} & < 0\\ \dfrac{1}{(x+1)^2} & > 0\\ \textsf{If $\dfrac{1}{a} > 0$ then $a > 0$}:\\(x+1)^2 & > 0\\ \end{aligned}[/tex]

[tex]\textsf{For $a^n > 0$, if $n$ is even then $a < 0$ or $a > 0$}[/tex]

[tex]\implies x+1 < 0 \implies x < -1[/tex]

[tex]\implies x+1 > 0 \implies x > -1[/tex]

Combine the intervals:

(-∞, -1) ∪ (-1, ∞)

Therefore:

The function is decreasing in the interval (-∞, -1) ∪ (-1, ∞).

Symmetry

[tex]\textsf{A function is \underline{even} when $f(x) = f(-x)$ for all $x$.}[/tex]

[tex]\textsf{A function is \underline{odd} when $-f(x) = f(-x)$ for all $x$.}[/tex]

As there is no symmetry about the y-axis (even symmetry) and no origin symmetry (odd symmetry), the symmetry of the function is neither.

Answer:

Domain: (-∞, -1) ∪ (-1, 3) ∪ (3, ∞)

Range: [0, ∞)

Continuity: Point discontinuity (hole) at x = 3.

Infinite discontinuity (vertical asymptote) at x = -1.

None

Decreasing function: (-∞, -1) ∪ (-1, ∞)

Symmetry: Neither

The area of a rectangular painting is 8712 cm^2.
If the width of the painting is 98 , what is its length?
100 POINTS!!!!

Answers

Answer:

The length is 88.90 cm

=========================

Area equation of a rectangle

A = lw, where A - area, l - length, w - width

Given

A = 8712 cm²w = 98 cm

Find the length

8712 = 98ll = 8712/98l = 88.90 (rounded)

Answer:

Length = 88.9 cm

Step-by-step explanation:

Formula we use,

→ A = L × W

Then the value of its length is,

→ A = L × W

→ 8712 = L × 98

→ L = 8712/98

→ L = 88.8979591837

→ [ L = 88.9 cm ]

Hence, the length is 88.9 cm.

Two planes, which are 2940 miles apart, fly toward each other. Their speeds differ by 35mph. If they pass each other in 4 hours, what is the speed of each?

Answers

Answer:

385 mph350 mph

Step-by-step explanation:

You want the individual speeds of airplanes that close the 2940 mile distance between them in 4 hours, and have a speed difference of 35 mph.

Setup

The closing speed is found using the relation ...

  speed = distance/time

It is ...

  (2940 mi)/(4 h) = 735 mi/h

If x represents the speed of the slower plane, then (x+35) is the speed of the faster one. The sum of their speeds is the closing speed:

  x +(x +35) = 735

Solution

Simplifying, we have ...

  2x +35 = 735

  2x = 700 . . . . . . subtract 35

  x = 350 . . . . . . . divide by 2

  x+35 = 385 . . . . speed of the faster plane

The speeds of the planes are 350 mph and 385 mph.

There were 256 farmers in the county 30 years ago 5/8 of those farmers have changed occupations how many of the 256 farmers changed occupations

Answers

The answer is 27 for your math

Step-by-step explanation:

Alyssas resting heart rate is 50 beats per minute. Her target exercise rate is 325% of her resting rate. What is her target rate

Answers

The exercise target rate according to the Rate of change is 162.5.

According to the statement

We have to find that the target rate of the exercise.

So, For this purpose, we know that the

Rate of change is used to mathematically describe the percentage change in value over a defined period of time

From the given information:

Alyssas resting heart rate is 50 beats per minute. Her target exercise rate is 325% of her resting rate.

then

The exercise target rate  = 325% of 50 beats.

Then

The exercise target rate  = 325/100*50

The exercise target rate  = 3.25*50

The exercise target rate  = 162.5.

So, The exercise target rate according to the Rate of change is 162.5.

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List the interval(s) on which f is increasing.

The interval(s) in which f is increasing is/are: _____________.
(Type your answer in interval notation. Use a comma to separate answers as needed.)

Answers

The intervals on which the function f of x is increasing is:

(6, 0) U (2, 4) U (7, 9)

In which intervals is the function increasing?

When we have the graph of a function, we can identify if it is increasing if, reading from left to right, we can see that the graph of the function goes upwards.

For the graphed function, we can see that it increases for the values:

-6 < x < 0

2 < x < 4

7 < x < 9

Writing this in interval notation, we have:

(6, 0) U (2, 4) U (7, 9)

This is the list of intervals on which the function f(x) is increasing.

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You have a Chick-fil-A gift card worth $50. After you buy lunch on Monday, its value is $46.50. After you
buy lunch on Tuesday, its value is $43. Write an explicit formula to represent the amount of money left on
the card as an arithmetic sequence.
What is the value of the gift card after you buy 12 lunches?

Answers

After buying 12 lunches the value of gift card will be 11.50$.




It is given that ,
On the first day , value of gift card is 50$.
When we buy lunch on moday
It's value is 46.50$
So , decrease in value,
50 - 46.50 = 3.50$.
Again , we buy lunch on Tuesday
It's price decreases to 43$
So next day decrease in value ,
46.50 - 43 = 3.50$.
So difference in value day by day is -3.50$.
Now we use arithmetic progression formula
Which is ,
a+(n-1)d
a = 50$
d = -3.50$
n = 12
Now, we have to find the value of giftcard after 12 days .
putting the value in formula ,
= 50+(12-1)(-3.50)
= 50+(11)(-3.50)
= 50+(-38.50)
= 50- 38.50
= 11.50$.
After buying 12 lunches the value of gift card will be 11.50$.



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A superhero recently asked his nemesis how many cats she has. She answered with a​ riddle: ​"Five-sixths of my cats plus three ​."
How many cats does the nemesis​ have?

Answers

The number of cats the nemesis have is 4

What is a fraction?

A fraction is defined as the part of a whole.

Types of fractions;

Mixed fractionsSimple fractionsProper fractionsImproper fractions

From the information given, we have that the Nemesis number of cats is ' Five-sixths of my cats plus three

This is expressed as;

Number of cats =  1 - 5/ 6 + 3

Number of cats = 1/ 6 + 3

Number of cats = 6 + 18 /6

Number of cats = 24/6 = 4

Thus, the number of cats the nemesis have is 4

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What are the possible values of x for the following functions? F(x)= x-3 / 2x+6

Answers

Answer:

(in English)

x can be anything EXCEPT -3

(in Math)

Interval Notation:

(negativeinfinitysymbol,-3)U(-3,infinitysymbol)

Set Builder Notation:

{x | x < -3 or x > -3}

Step-by-step explanation:

Since this function is a rational function (like a fraction) we have to watch out for what is going on in the denominator. The denominator cannot be zero.

So, 2x + 6 cannot be zero. Let's figure out what makes 2x+6 actually equal to 0.

2x + 6 = 0

Subtract 6.

2x = -6

Divide by 2.

x = -3

Remember this is what x canNOT be.

This question is a domain question. What is x allowed to be? x may be anything except -3.


Suppose you are drawing a scaled copy of a triangle with one of the sides measuring 5 centimeters. If
you are using a scale factor of 2, how long will the corresponding side of the scaled copy be?
It will be 10
It will be
cm²
How long will the corresponding side of the scaled copy be if you use a scale factor
ctor of /?
It will be 12-1/2
long.
1³/?
How long will the corresponding side of the scaled copy be if you use a scale factor of
mm²
long.
vlong.

Answers

Answer:

spam

Step-by-step explanation:

spam spam spam

The names of 20 students in the class will be put in a hat. The class consists of 12 freshmen, 6 sophomores, and 2 juniors. If a sophomore was chosen there, how likely is it that another sophomore will get to play today?

Answers

If a sophomore was chosen yesterday, the probability that a sophomore will be chosen again today is 3/10.

Given, number of students name put into the hat = 20

total number of freshmen in the class = 12

total number of sophomore in the class = 6

total number of juniors in the class = 2

we are asked to determine the probability that the sophomore will be selected the second day also = ?

Calculating a situation's probability allows us to determine its likelihood. Absolute certainty in forecasting is challenging in many situations. With its help, we are only able to anticipate the likelihood, or chance, that an event would occur.

from the given data,

n(s) = 20

n(A) = 6 ⇒ as the name selected in the first day is put back in the hat.

P(A) = n(A)/n(s)

P(A) = 6/20

P(A) = 3/10

hence the probability that the another day again a sophomore will be chosen is 3/10.

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HELP NOWWW!!!!! PLEASE
Question content area top Part 1 The coordinates of point T are ​(​0,6​). The midpoint of is ​(4​,-6​). Find the coordinates of point S. Question content area bottom Part 1 The other endpoint is enter your response here. ​(Type an ordered​ pair.)

Answers

Answer:

The end point is (8,-18)

Step-by-step explanation:


How many GRAMS of aluminum are present in 1.40 grams of aluminum sulfate,
Al2(SO4)3?

Answers

54 grams of aluminium is present in aluminium sulphate Al₂(SO₄)₃.

What is meant by the term molecular mass/weight?

A substance's molecular mass is the sum of the atomic masses of all of the atoms in the molecule of a substance.

It is applied to substances with molecules as constituent particles.The molecular mass expresses the mass of a molecule in relation to the mass of the 12C atom, that is assumed to be 12. Although molecular mass is indeed a dimensionless quantity, it is provided the unit Dalton or atomic mass unit to indicate that the mass is relative to 1/12th this same mass of a single carbon-12 atom.

For the given question, the expression is;

aluminium sulphate Al₂(SO₄)₃

As three of aluminium is present in the aluminium sulphate.

And, molecular mass of one aluminium atom is 27 grams;

Thus, for 2 aluminium atoms = 2×27 = 54  grams.

Therefore, the compound aluminium sulphate contains 54 gram of aluminium in it.

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addictive inverse of -7/8 and 7/8 8/7 -8/7

Answers

The additive inverse of the numbers given as -7/8 and 7/8  are 7/8 and -7/8

How to determine the additive inverse?

The numbers are given as:

-7/8 and 7/8

As a general rule, the additive inverse of a number x is -x

This means that the additive inverse of the numbers given as -7/8 and 7/8  are 7/8 and -7/8

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Un poste mide 150 centímetros y está pintado de azul, rojo y amarillo. La parte pintada de azul es 2/5 del poste, la parte pintada de rojo es 1/2 de la pintada de azul, y lo que resta está pintado de amarillo ¿cuánto mide cada parte?

Answers

A 150 cm post is painted in shades of azure, red, and amber. The blue portion of the post is two-fifths of the way up, the red portion is one-half of the blue portion, and the remaining portion is painted in amarillo. What does each part weigh?

71 forms

First, we'll determine how many different ways the five cubes may be arranged in a column using the multiplicand rule:

5 * 4 * 3 * 2 * 1 = 120

We have five cubes to place at the base of the column, four for the second position, three for the third position, and so on until all the cubes are organized.

Then we'll calculate how many different ways we may arrange the five cubes so that they'reBlue cubos twirl around one another. In this case, we would count the two blue cubes as though they were only one, which means that we would only have "4 cubes" and be able to arrange them in 24 different ways:

4 * 3 * 2 * 1 = 24

On the other hand, the two blue cubes can be arranged in one of two different ways: first the clear, then the dark, or first the dark, then the clear.

That is to say, there are 24 different ways to arrange the cubes so that the light comes on first and the dark follows, and there are 24 different ways to arrange the cubes so that the dark comes on first and the light follows.

This means that 48 of the 120 ways to organize the five cubes contain the cubes. 72 (120-48) formas los dos cubos azules no se tocan entre sí.

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3x + 2 = 5x-8 how do I solve this

Answers

Answer:

x = 5

Step-by-step explanation:

If you’re solving for x

Multiply (-1 13/14) x (1 5/9) what is the product? enter your answer in the box​

Answers

Answer: -3

Step-by-step explanation:

turn mixed numbers into improper fractions, simplify, and solve- see attached

Answer:

-3

Step-by-step explanation:

to find the answer first turn both numbers into improper fractions

-1 13/14 becomes -27/14

1 5/9 becomes 14/9

now multiply them

[tex]\frac{-27}{14} * \frac{14}{9}[/tex]

you can cancel out the 14s

[tex]\frac{-27}{1} * \frac{1}{9}[/tex]

now divide 9 to the top of the first fraction and to the bottom of the second one

[tex]\frac{-3}{1} * \frac{1}{1}[/tex]

now multiply

-3/1 is your answer

that is basically -3

What is the circumference of a radius equals 6 inches

Answers

The circumference of a radius equals 6 inches is 37.68 inches

What is the circumference of a radius equals 6 inches?

The radius is given as

r = 6 inches

The circumference of a circle is calculated as

C = 2pi r

So, we have

C = 2 * 3.14 * 6 inches

Evaluate the product

C = 37.68 inches

Hence, the circumference of a radius equals 6 inches is 37.68 inches

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The length of a rectangular garden is 5 m greater than the width. The area of the garden is 66 m² Find the dimensions of the garden.

Answers

L = 10 and w= 5 are  the dimensions of the rectangular garden.

What is a rectangle, exactly?

The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.

Let the width of the garden be a

Length of the garden = a + 5

Area = l * w

66 = ( a+ 5 ) * a

66 =  a² + 5a

a² + 5a -66 = 0

a² + 11a - 5a - 66 = 0

a( a + 11 ) -5 ( a + 11) = 0

( a + 11 ) ( a - 5) = 0

so  a + 11 = 0 ⇒  a = -11

      a - 5 = 0 ⇒ a = 5

Width cannot be negative.

l = a + 5 = 10

w = 5

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Every day, Angeni's cupcake store sells 5,000 cupcakes in chocolate and vanilla
flavors. If the chocolate flavor is 3 times as popular as the vanilla flavor, how many of
each cupcake does the store sell per day?

Answers

The number of vanilla and chocolate flavoured cupcakes sold every day is 1250 and 3750, respectively.

Let the number of vanilla-flavoured cupcakes be "x".The number of chocolate-flavoured cupcakes is 3*x.A ratio in mathematics describes how many times one number contains another. A number is an arithmetic value used to represent a quantity and to do computations. Numericals are written symbols that represent numbers, such as "3." A number system is a logical writing system for representing numbers with digits or symbols.The total number of cupcakes that are sold is 5,000.According to the question, x + 3x = 50004x = 5000x = 5000/4x = 1250The number of vanilla-flavoured cupcakes sold every day is 1250.The number of chocolate-flavoured cupcakes sold every day is 3750.

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Find f(a + 7).
f(x) = x² + 5

Answers

hi

f(a+7)

f(x) =x²+5

by remplacing X by (a+7) :

then  f(a+7) = (a+7)²+5

                  =   a² +2*a*7 +49 +5

                  = a² +14a +54

Proportion Word Problems Maze Worksheet
One US dollar equals 0.84 euros. Margo wants to exchange $400 for euro. How many euros will she receive in exchange?

Answers

Answer:

1 us dollar =0.84 euros so,400 us dollar =084x400 so, she will receive 336 euros in exchange.

Suppose you are throwing a lunch event for 100 people.

You decide to offer vegan options. You are not
sure how many vegans are attending, but a study shows that vegans occur at a rate of 5%. Assume the requirements for a binomial distribution are satisfied. What is the probability that you will have less than 10 vegans attending your event?

Answers

The probability of having less than 10 vegans attending the event, given that the binomial distribution requirements are satisfied, is 9%.

What are the requirements of a binomial distribution?

The requirements of a binomial distribution include:

Independent observationsFixed number of observationsEqual probability of success for each observationEach observation falls into the success or failure categories.

What is probability?

Probability is the likelihood of an event occurring given the possibility of many outcomes.

Probability is computed as percentages, fractions, or decimals, and it cannot be more than 1.

Data and Calculations:

Expected guests = 100

Expected vegans = 5%

Less than 10 vegans = 9

The chance that 9 vegans will attend the event = 9/100 = 9%.

Thus, the probability of having less than 10 vegans attending the event is 9%.

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Decrease 964,763
by 1,000.

Answers

963,763 because I’m order you have to subtract it by one thousand
Other Questions
Die Mutter hat die Suppe___ (to cook).O gebratenO gekochtO gewaschenO frittiert Are their any multicellular chemoautotrophs? If so, describe them. If not, why? Sandra owns a bond issued by animite energy with a par value of $1,000. the bond pays 7.6% interest yearly and has a market rate of 93.411 when sandra bought it. what is the current yield on sandras bond? a. 0.076 b. 0.074 c. 0.081 d. 0.089 I need a diagram of the energy flow Operating income can be determined using a.absorption and variable costing. b.variable costing only. c.absorption costing only. d.neither absorption nor variable costing. why will papaw not get a new television? It is possible for a repressor to negatively regulate the expression of an operon because? While passing a slower car on the highway, you accelerate uniformly from 17.5 m/s to 29.5 m/s in a time of 11.1 s. how far do you travel during this time? What is the correct definition of a constitution?a loose set of unwritten principles that guide several allied nations or culturesa loose set of unwritten principles that guide several allied nations or culturesa specific accounting of a nations budget and expensesa specific accounting of a nations budget and expensesa document in which individuals swear loyalty to a particular government or nationa document in which individuals swear loyalty to a particular government or nationa detailed, written plan for a state or nations government If the bar oa is rotating clockwise with a constant velocity and the collar slides freely, the direction of the reaction force on the collar will be:_______ PLEASE HELP FAST I AM BEING TIMEDIn the fourth paragraph, the author mentions what he "gained from the dialogue and what he "got from Sheridan (lines 2930) primarily topropose the denunciation of slavery and promote human rightsdefend his ideals of social justice and influence others to actchallenge the moral obligations of the educated and validate his consciencehighlight the plight of enslaved people and influence the morality of societyillustrate his developing arguments against slavery and validate his beliefs Assume that a histogram for the sample is bell-shaped. between what two values will approximately 68% of the sample be? In a jazz ensemble, the drummer is responsible for ___________, ____________, and _________________ throughout the music. A(n) ______ contract views the employment relationship in terms of subjective and open-ended obligations. -x-6=-14 how to solve x An algal bloom can have a drastic, and often detrimental, impact on ________ biomes. MANY HITS, RATHER THAN A BIG ONE, POSE GREATEST CONCUSSION RISK answers Graff, incorporated, has sales of $40,980, costs of $13,380, depreciation expense of $2,830, and interest expense of $2,060. the tax rate is 22 percent. what is the operating cash flow, or ocf? How long has it been that scientists have accepted that the nucleus of the atom consists of neutrons and protons? Find the value of x.(6x - 35)(3x + 7)