This problem illustrates the limit derivation of a Poisson distribution from Binomial distributions. Suppose an average of 6 arrivals occur during a 30 minute interval. To count arrivals, divide the 30 minute interval into n sub-intervals. Enter the probability p of one arrival during a single sub-interval.
For n = 30, we have p =
For n = 60, we have p =
For n = 100, we have p =
Continued from previous.

Answer: Second company (in the table), aka #1 toys, produces at a slower rate

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Explanation:

The equation y = 123x is in the form y = mx+b with m = 123 as the slope. The slope is the rate of change telling us how many toys per minute are produced. In this case, 123 toys per minute is the rate for the first company.

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We'll need the slope of the other function. So we need to pick two rows from the table and use the slope formula. I'll pick the first two rows.

m = (y2-y1)/(x2-x1)

m = (1320-600)/(11-5)

m = 720/6

m = 120

The second company produces at a rate of 120 toys per minute. This is the smaller rate, so this company produces at a slower speed.

Answer:

He spent on fruit after 5 months is $110.

In 15 months he spent $280.

Step-by-step explanation:

Fixed pay for membership is $25

And enrollment fee is $17 for each month.

The equation represents this situation is

y= 17 x + 25

He is going to stop receiving fruits once he spent $280.

Now, to find how much he spent on fruit after 5 months is plugin x as 5 into

y=17x+25 for x

y=17(5)+25

y=85+25

y=110 dollars

Now, to find how many months until $280 is to plug in y as 280 then solve the equation for x.

280 = 17 x+25

Subtract both sides 25

255 =17 x

Divide both sides by 17

x= 15 months

Answer:

Integers

Step-by-step explanation:

The correct option to choose is the integers option. Integers are simply whole numbers.

Thus-18/6 = -3

The term -3 is a whole number

So the term to choose is the integers option

The smallest set of real numbers that contains the value -18 /6 is an integer.

The smallest set of the real number that contains the value -18/6 can be determined after we have simplified the expression -18/6.

To simply the given expression, we will divide both the numerator and the denominator by 6, by doing so, we have:

= -3

Now, the smallest set of the real number is = -3 which is an integer

This is because an integer is a whole number that is not a fraction and can be negative or positive.

The reason why it is not a natural number is because of the negative sign, since we know that natural numbers are numbers with positive signs only.

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Answer:

The expression to solve the golfer's score is X = A + B + C

The golfer's score is 0 (The golfer is at par)

Step-by-step explanation:

The given information are;

The score the golfer must have = 0

The score, A, the golfer has on the first hole = +4

The score. B, the golfer has on the second hole = -3

The score. C, the golfer has on the third hole = -1

Therefore, the expression to calculate the golfer's score, X, is given as follows;

The golfer's score = The score the golfer has on the first hole + The score the golfer has on the second hole + The score the golfer has on the third hole

The expression to solve the golfer's score is given as follows;

X = A + B + C

The golfer's score = 4 - 3 - 1 = 0

The golfer's score = 0.

Answer:

3

Step-by-step explanation:

Answer:

n+8

Step-by-step explanation:

"A number" signifies the need for a variable, in this case, n. The keyword increased shows that the operation is addition. So put it together and you get n+8.

Answer:

the answer to it is n + 8. :3

Answer:

Carlos spent [tex]\frac{5}{16}[/tex] hours in practicing piano

Step-by-step explanation:

Carlos spent hours in doing his maths homework =[tex]1 \frac{1}{4}[/tex]

Carlos spent hours in doing his maths homework = [tex]\frac{5}{4}[/tex]

We are given that He spent 1/4 of his time practicing piano

So, Time spent by Carlos in practicing piano = [tex]\frac{1}{4} \times \frac{5}{4}[/tex]

Time spent by Carlos in practicing piano = [tex]\frac{5}{16}[/tex]

Carlos spent hours in practicing piano =  [tex]\frac{5}{16} hours[/tex]

Hence Carlos spent [tex]\frac{5}{16}[/tex] hours in practicing piano

Answer:

No.

Step-by-step explanation:

[tex]10^{4} =(10)(10)(10)(10)\\10^{4} =10000\\[/tex]

[tex](10)(4)=40[/tex]

[tex]10000\neq 40[/tex]. Therefore, [tex]10^{4} \neq[/tex]10x4.

**Exponents expresses how many times the number it multiplied by it's own value. Such as [tex]x^{2}[/tex] is the same as (x)(x) since it is times by itself 2 times. Or, [tex]6^{8}[/tex] is the same as (6)(6)(6)(6)(6)(6)(6)(6) since it is times by itself 8 times.

Answer:

f(x)=3/2 x

Step-by-step explanation:

it starts at 0 and rise 3 and goes over 2

The answer is [tex]f(x)=\frac{3}{2}x[/tex]

First, you must find 2 points.

(0,0)   (2,3)

Then, you must use the slope equation

[tex]\frac{3-0}{2-0}=\frac{3}{2}[/tex]

The line crosses the y axis at 0, so there is no y intercept

[tex]f(x)=\frac{3}{2}x[/tex]

Answer:

f(x) - 2

Step-by-step explanation:

I just took the quiz

Step-by-step explanation:

given the perimeter is

64ft

the length l= 3w

we know that the perimeter of a rectangle is given as

P=2l+2W

but L=3w

64=2(3w)+2w

64=6w+2w

64=8w

divide both sides by 8 we have

w=64/8

w=8ft

also

let the lenght of the rectangle be l

side of hexagon=l-4

perimeter of hexagon

P=5(l-4)

P=5l-20

width of rectangle w=l-2

perimeter of rectangle= 2l+2w

but w=l-2

5l-20= 2l+2(l-2)

5l-20=2l+2l-4

5l-20=4l-4

5l-4l=-4+20

l=16ft

perimeter of hexagon

P=5(l-4)

put l=16

perimeter of hexagon

P=5(16-4)

p=5(12)

P=60ft

Answer: 2(3(8))+(2+8)=64 or c

Step-by-step explanation:

You have to replace w with 8 meaning 8 is now the width, therefore, c is the correct answer.

Answer:

1) 53

2) 35

3) 28

4) 42

Step-by-step explanation:

Sum of angles in all triangles is 180 so add the two known angle measurements and subtract from 180.

Answer:

perpendicular is opposite and reciprocal

Step-by-step explanation:

The slope is -1 and the reciprocal/ perpendicular is 1x

Answer:

the answer is 1

Step-by-step explanation:

Answer:

208.333

Step-by-step explanation:

A quadratic model for a certain stock on Wall Street is given by :

[tex]P=-3d^2+50d[/tex] ...(1)

(a) We need to find the maximum price per share of the stock. For maximum value, put :

[tex]\dfrac{dP}{dd}=0[/tex]

[tex]\dfrac{d(-3d^2+50d)}{dd}=0\\\\-6d+50=0\\\\d=\dfrac{50}{6}\\\\d=8.34[/tex]

price per share of the stock is maximum when the value of d = 8.34. Put the value of d in equation (1).

[tex]P=-3(8.34)^2+50(8.34)\\\\P=208.333[/tex]

So, the maximum price per share of the stock is 208.333.

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Cakes = 1230[/tex]

[tex]Caramel = \frac{1}{3}[/tex]

[tex]Chocolate = \frac{1}{2}[/tex]

[tex]Banana = ??[/tex]

Required

Determine the total amount earned

The given parameters can't be used to determine the total amount earned.

However, we'll make some assumptions

First, we need to solve for the amount of each cake sold

[tex]Caramel = \frac{1}{3}[/tex]

[tex]Caramel = \frac{1}{3} * 1230[/tex]

[tex]Caramel = 410[/tex]

[tex]Chocolate = \frac{1}{2}[/tex]

[tex]Chocolate = \frac{1}{2} * 1230[/tex]

[tex]Chocolate = 615[/tex]

[tex]Banana = 1230 - 410 - 615[/tex]

[tex]Banana = 205[/tex]

Assume that:

Each caramel were sold at x

Each chocolate were sold at y

Each banana were sold at z

[tex]Total\ Amount = 410 * x + 615 * y + 205 * z[/tex]

[tex]Total\ Amount = 410x + 615y + 205z[/tex]

Answer:

Step-by-step explanation:

it will take jocelyn 2 hours to make 120 cookies

Here we are given with a triangle with smaller triangles formed due to the altitude on AC. Given:

We have to find the value for sin [tex] \theta[/tex]

So, Let's start solving....

In ∆ADB and ∆ABC,

So, ∆ADB ~ ∆ABC (By AA similarity)

The corresponding sides will be:

[tex] \sf{ \dfrac{AD}{AB} = \dfrac{AB}{AC} }[/tex]

We know the value of AB and to find AC, we can use Pythagoras theoram that is:

AC = √6² + 8²

AC = 10

Coming back to the relation,

[tex] \sf{ \dfrac{AD}{6} = \dfrac{6}{10} }[/tex]

[tex] \sf{AD = \dfrac{6 \times 6}{10} = 3.6}[/tex]

In ∆ADB, we have to find sin [tex] \theta[/tex] which is given by perpendicular/base:

[tex] \sf{\sin( \theta) = \dfrac{AD}{AB} }[/tex]

Plugging the values of AD and AB,

[tex] \sf{\sin( \theta) = \dfrac{3.6}{6} }[/tex]

Simplifying,

[tex] \sf{ \sin( \theta) = \dfrac{3}{5} = \boxed{ \red{0.6}}}[/tex]

And this is our final answer.....

Carry On Learning !

Answer:

B——A for top two

C——D for bottom two

Answer:

yes ....I can help please

let's take the example 2

x° and 68° forms right angle so it's 90°

so we'll add them to find x

x° = 90°- 68° = 22°

Answer:

2x -7 = 41

2x = 41 +7

2x = 48

x = 24

Answer:

47

Step-by-step explanation:

They are dumpy because they can’t try

Answer:

12.

03

Step-by-step explanation:

Answer:

x+x+yxy

= x^2 + y^2

x^2 + y^2 is the answer.

In mathematics, genuinely or simplification is reducing the expression/fraction/hassle in a less complicated form. It makes the problem smooth with calculations and fixing.

Associated with "simplification" troubles are some "solving" troubles. just as a few expressions include parentheticals or even nested grouping symbols, so additionally do some equations. The simplification manner is identical, whether we're running with expressions (and consequently handiest simplifying) or equations (so we are also solving).

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Answer:

C+a−b−d−f+g+e

Step-by-step explanation:

a. The value of f(-4) is [tex]3 \div -8[/tex]

b. The value of fg(1) is [tex]3\div 4[/tex]

Since [tex]F(x)=3\div x\times 2\ and\ g(x)=2\times x\times 3[/tex]

So,

a. The value of f(-4) is

[tex]= 3\div (-4)(2)\\\\= 3\div -8[/tex]

And,

b. The value of fg(1) is

[tex]= 3\div (2(1)^3)(2)\\\\= 3\div (2)(2)\\\\= 3\div 4[/tex]

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Answer:

$3.65

Step-by-step explanation:

32.85/ 9 = $3.65

Answer:

$3.65

Step-by-step explanation:

this is easy lol

Answer:

10^2

Step-by-step explanation:

When we divide exponents we subtract the exponenets in the top (in this case 6-4). This will give us 10^2. You can also check this.

The equivalent expression for 10⁶ ÷ 10⁴ will be 10². Then the correct option is A.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The numbers are given below.

10⁶ and 10⁴

The division of the numbers 10⁶ and 10⁴ will be given below.

⇒ 10⁶ ÷ 10⁴

⇒ 10⁶ / 10⁴

⇒ 10⁶⁻⁴

⇒ 10²

The equivalent expression for 10⁶ ÷ 10⁴ will be 10². Then the correct option is A.

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Answer:

(4,3)

Step-by-step explanation:

Answer:

Proved

Step-by-step explanation:

I am going to pose c as the largest side in a random triangle

If so then remember that, by the triangle inequality, a + b > c. Let's start from there...

Statement:                         |                                  Reasoning:

1. a + b > c                                                             1. Triangle Inequality

2. a + b + c > c + c (adding c on both sides),      2. Algebra + Def. Of Perimeter

   a + b + c > 2c (simplified)

   Perimeter > 2c (definition of perimeter)

   c < 1/2 * Perimeter

The prove of statement ''in any triangle the length of a side is less than the half of the perimeter'' is shown.

What is Perimeter?

The sum of all sides of a quadrilateral is called a perimeter.

Given that;

The statement is,

''In any triangle the length of a side is less than the half of the perimeter''.

Now,

Let sides of triangles are a, b and c.

The triangle inequality is;

a + b > c

Add both side by c;

a + b + c > c + c

a + b + c > 2c   .... (i)

Since, Perimeter of a triangle with sides a, b and c is;

Perimeter (P) = a + b + c

Substitute value of perimeter in equation (i), we get;

a + b + c > 2c

P > 2c

c < P/2

Thus, In any triangle the length of a side is less than the half of the perimeter.

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