The auto parts department of an automotive dealership sends out a mean of 3.2 special orders daily. What is the probability that, for any day, the number of special orders sent out will be more than 3?

Answers

Answer 1

Answer:

0.603

Step-by-step explanation:

Given that mean = 3.2

Probability that special order sent out will be no more than 3

Using poisson :

P(x) = (e^λ * λ^x) / x!

λ= 3.2

P(x≤3) : = p(x = 0) + p(x = 1) + p(x= 2) + p(x =3)

P(x = 0) = (e^-3.2 * 3.2^0) / 0! = 0.0407622

P(x = 1) = (e^-3.2 * 3.2^1) / 1! = 0.1304390

P(x = 2) = (e^-3.2 * 3.2^2) / 2 = 0.2087024

P(x = 3) = (e^-3.2 * 3.2^3) / 3! = 0.2226159

Hence ;

0.0407622 +0.1304390 + 0.2087024 + 0.2226159 = 0.6025195

= 0.603


Related Questions

Write 0.45 as a fraction.

Answers

Answer:

9/20

Step-by-step explanation:

0.45 = 45/100

45/100=9/20 (divide numerator and denominator by 5)

This is the fraction for 0.45

A city bus compny sold 35 one-way tickets and 20 round trip tickets from west elmwood to east elmwood. One way tickets cost $14. Round trip tickets cost $27. How much money did the bus company collect?

Answers

Answer:

$1,030

Step-by-step explanation:

Step 1- Multiply One way tickets by How much the tickets cost:

35 x 14= 490

Step 2- Multiply Round trip tickets by how much the tickets cost:

20 x 27= 540

Step 3- Add both sums together:

490 + 540= 1,030

Therefore, the answer is $1,030

Which percent is modeled? 9% 19% 91% 99%

Answers

Answer:

9%

Step-by-step explanation:

Count the squares side which is 10

Then Count the bootom side of the square which is 10

10 x 10 =100

Now count how many squares are filled. 9

9/100=9%

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Required percentage value = a

Total value = b

Percentage = a/b x 100

The percent modeled is 9%.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

Total value = b

Percentage = a/b x 100

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Number of cells in the box = 100

Number of shaded cells = 9

The percentage of the shaded cells.

= (Number of shaded cells / Total number of cells) x 100

= 9/100 x 100

= 9%

Thus,

The percentage of shaded cells is  9%

The percent modeled is 9%.

Learn more about percentages here:

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$1.00 to 2/3 gallon
2
10 points
A caterer needs to buy 21 pounds of pasta to cater a wedding. At a local store, 8 pounds of pasta cost $12. How much is the cost per
pound?

Answers

Answer:

$1.5/pound

Step-by-step explanation:

Number of pounds  = 8pounds

Cost of pasta = $12

Now;

  Unknown:

           cost per pound of pasta

Solution:

To find the cost per pound of pasta;

 Cost per pound of pasta  = [tex]\frac{cost of pasta}{number of pasta}[/tex]  

  Cost per pound of pasta = [tex]\frac{12}{8}[/tex]   = $1.5/pound

A book company publishes 749 copies of
a novel and distributes them to 7 bookstores.
If each bookstore were to receive the same
number of copies, how many copies would
be sent to each store?

Answers

Answer:

107 copies to each books store

749copies/7bookstores
= 107

107 copies would be received from each bookstore

A system consisting of one original unit plus a spare can function for a random amount of time X. If the density of Xis given (in units of months) byf(x) ={cxe -x/2 x>0 0 x<0 What is the probability that the system functions for at least 5 months?

Answers

Answer:

0.2397

Step-by-step explanation:

Given data:

fX(x) = Cxe^(−x/2) if x >0 0 otherwise, where C > 0 is some constant.

The probability that the system functions for at least 5 months

= 0.2397

attached below is a detailed solution

Factor the expression 4x + 32. Explain each step you
take in the process.
I

Answers

Answer:

4(x+8)

Step-by-step explanation:

find the GCF (which is 4 in this case)

divide by 4 but don't forget to keep it.

4x/4=x

32/4=8

4(x+8)

And thats it!

Each Christmas elf makes x toys in an hour. n elves work for t hours to produce 1000 toys.

Write an equation that relates x, n, and t.

Answers

Answer:

e(X x T)=1000

Step-by-step explanation:

You do the number of toys they make(X) times the hours they work(T). Then multiply all of it by the number of elves(e). All of that equals the 1000 toys they make all together.

Equation relates x, n and t is n × x × t = 1000

What is  an equation?

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Each elf makes x toys in an hour

one elf will make x × t toys in t hours

n elf will make 1000 toys in t hours

So n elf will make 1000 toys in t hours

n × x × t = 1000

Hence, the equation relate x, n and t is n × x × t = 1000

Learn more about Equation here

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Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards. Pete walks directly from point A to point C, without passing through point B. What is the direct distance from A to C?

Answers

Answer:

man the answers are 40 10 30

Step-by-step explanation:

Calleigh puts 5 nickels into an empty hat. She
wants to add enough pennies so that the probabil-
ity of drawing a nickel at random from the hat is 1/6
How many pennies should she put in?

Answers

Calleigh should put in 30 pennies

A gardener makes a flower bed the bed is 14 in diameter calculate the circumference

Answers

Answer:

[tex]C=43.96[/tex]

Step-by-step explanation:

Circumference Formula:

C=2πr

The radius is half of the diameter...

[tex]14/2=7[/tex]

Pi is [tex]3.14[/tex]...

[tex]C=2*3.14*7[/tex]

[tex]C=43.96[/tex]

Part D
You now have an equation to model the finances of the car wash. What is the value of the profit when the baseball team washes 0 cars? What point represents the value? What does the y-value of this point mean in terms of the problem?​

Answers

Answer:

The equation for the profit made on the car wash is y = 5x – 75. Here, y is the profit made and x is the number of cars washed. So if the team washes 0 cars, x will be 0.

y = 5(0) – 75

y = -75

The point that represents this is (0, -75). Here, the value of the y-coordinate of the point is -75. Since it has a negative sign, it means that instead of making a profit, the team suffers a loss. So, if the baseball team washed no cars, it would lose $75.

Step-by-step explanation:

What is the equation of the line that passes through the point (-1,7) and has a slope of -2?

Answers

Y = -2x + b
Plug in the point
7 = -2(-1) + b
7 = 2 + b
b = 5
Final equation y = -2x + 5

Irene makes 4⅔ cups of pancake batter. She splits the batter into 2 bowls.She mixes blueberries into 2¼ cups of batter and walnuts into the rest of the batter.

Answers

Answer:

You have to find the most simple estimation by finding the nearest whole number, but the actual answer in 2 5/12


Which of the following could be the perimeters of the three squares below?
A 12ft, 16 ft and 20 ft
B 20 ft, 16 ft and 24 ft
C) 40 ft, 80 ft and 120 ft
D 16 ft, 24 ft and 28 ft

Answers

Answer:

Option (A)

Step-by-step explanation:

Option (A).

Since, perimeter of a square = 4×(side)

Perimeters of 3 squares = 12 ft, 16 ft and 20 ft

Side lengths of three squares will be = [tex]\frac{12}{4}, \frac{16}{4},\frac{20}{4}[/tex]

                                                             = 3 ft, 4 ft and 5 ft

If these sides are the measures of the sides of the given right triangle,

(Hypotenuse)² = (leg 1)² + (leg 2)²

5² = 4² + 3²

25 = 16 + 9

25 = 25

True.

Therefore, these are the sides of the given right triangle.

Option (B).

Perimeters of three squares are 20 ft, 16 ft and 24 ft.

Sides lengths of three squares = [tex]\frac{20}{4},\frac{16}{4}, \frac{24}{4}[/tex]

                                                    = 5 ft, 4 ft and 6 ft

By Pythagoras theorem,

6² = 4² + 5²

36 = 61

False.

Therefore, these sides are not of the given right triangle.

Option (C)

Perimeters of the squares = 40 ft, 80 ft and 120 ft

Side lengths of the squares = 10 ft, 20 ft and 30 ft

If these sides are the sides of the given right triangle, they will follow the Pythagoras theorem.

By Pythagoras theorem,

(30)² = (10)² + (20)²

900 = 500

False.

Option (D)

Perimeters of the given squares are 16 ft, 24 ft and 28 ft.

Side lengths of these squares will be 4 ft, 6 ft and 7 ft.

If these sides form a right triangle they will follow the Pythagoras theorem.

By Pythagoras theorem,

7² = 4² + 6²

49 = 16 + 36

49 = 52

False.

Therefore, these are not the sides of a right triangle.

Option (A) will be the answer.

The perimeter of the rectangle is 2,500 cm. Find the unknown side length. the other side is 750

Answers

Answer:

500 cm

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

From the question we have

[tex]2500 = 2l + 2(750) \\ 2500 = 2l + 1500 \\ 2l = 2500 - 1500 \\ 2l = 1000 \\ \frac{2l}{2} = \frac{1000}{2} \\ l = \frac{1000}{2} \\ l = 500[/tex]

We have the final answer as

500 cm

Hope this helps you

cos 60 degrees=1/2 and sin 60 degrees = square root 3/2 true or false

Answers

Answer:

cos 60 degrees=1/2 and sin 60 degrees = square root 3/2

The answer it's true.

if R is the midpoint of QS, RS = 2x-4, ST = tx-1, and RT = 8x-43

Answers

The question is incomplete. Here is the complete question.

If R is the midpoint of QS, [tex]RS=2x-4[/tex], ST = [tex]4x-1[/tex] and RT = [tex]8x-43[/tex], find QS.

Answer: QS = 68 units

Step-by-step explanation: The figure below shows a line segment QT.

To determine QS, first, determine value of x:

RT = RS + ST

[tex]8x-43=2x-4+4x-1[/tex]

[tex]8x-43=6x-5[/tex]

2x = 38

x = 19

Now, we determine QS:

Midpoint is a point dividing a line segment in two equal parts.

Then, QR = RS.

QS = QR + RS

QS = 2RS

[tex]QS=2(2x-4)[/tex]

[tex]QS=4x-8[/tex]

Substituting x = 19:

[tex]QS=4.19-8[/tex]

QS = 68

The segment QS is 68 units.

Answer: x = 1

Step-by-step explanation:

I have no idea what the actual answer is, as you didn't ask a question. So i'm assuming that you want the value of x.

Step 1: Draw a line containing all the points

R is in between point Q and point S, while T is last, based on alphabetical order.

Illustration:

         2x - 4   Tx - 1

Q       R       S       T

             8x - 43

Step 2: Find T's value

To find t, create the substitution equation RS + ST = RT

2x - 4 + tx - 1 = 8x - 43

-2x                     -2x

-4 + tx - 1 = 6x - 43

tx - 5 = 6x - 43

tx = 6x - 38

tx/x = 6x/x - 38

t = 6 - 38

t = -32

This is the value of t

By the way, there is no correlation between point T and the variable t.

Step 3: Find x's value

Now that we know what t is, we can solve for x

2x - 4 -32x - 1 = 8x - 43

-30x - 5 = 8x - 43

+30x        +30x

-5 = 38x - 43

+43         +43

38 = 38x

38/38 = 38x/38

1 = x

This is the value of x

Just select yes and no for all three pls help

Answers

.....*+*Kill me*+*.....

*+*.......................*+*

*+*.......................*+*

Answer:

1. Yes 2. No 3. No

Step-by-step explanation:

the pic the pic this is it​

Answers

Answer:

yes I agree with you

Step-by-step explanation:

thanks for the free question

Answer: mmmmmm Otae?

Step-by-step explanation:

True or false: The mapping notation for reflecting point (x,y) about the x-axis is (−x,y).(1 point) This statement is true. This statement is false. The mapping notation for reflecting point (x,y) about the x-axis is (x,−y). This statement is false. The mapping notation for reflecting point (x,y) about the x-axis is (y,x). This statement is false. The mapping notation for reflecting point (x,y) about the x-axis is (−x,−y).

Answers

Answer:

This statement is false. The mapping notation for reflecting point (x,y) about the x-axis is (x,-y)

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

Josie bikes 40 miles each month for five months she multiplies 40×5 what unit should she use for the product miles or months?

Answers

Answer:40x5 are the factors of every miles times each month so the units she should use is months

Step-by-step explanation: 40= (miles)

5=(months)

40*5 months all u have to is Multiples ur answer should be 200

I need serious help!

Answers

These answers are definately correct

Answer:

a = 14 ; b = 10

Step-by-step explanation:

ΔJKL ≅ ΔXYZ

The order of letters in triangle's "names" is important, it indicates the corresponding angles and sides.

∠J ≅ ∠X, ∠K ≅ ∠Y, ∠L ≅ ∠Z

segment JK ≅ segment XY,

segment KL ≅ segment YZ,

segment JL ≅ segment XZ

m∠Z = m∠L = 180° - (60° + 55°) = 65°

(4a + 9)° = 65°

4a = 65 - 9 ⇒ a = 14

XY = JK = 24 units

3b - 6 = 24 ⇒ b = 10  

The local diner offers a meal combination consisting of an appetizer, a soup, a main course, and a dessert. There are six appetizers, two soups, four main courses, and six desserts. Your diet restricts you to choosing between a dessert and an appetizer. (You cannot have both.) Given this restriction, how many three-course meals are possible?

Answers

Answer: 96

Step-by-step explanation:

According to the fundamental principle of counting:

Total number of meals possible = (Choices for appetizers) x (Choices for soups) x (Choices for main courses) x (Choices for desserts)

If there is a restriction to choose between appetizer and dessert.

Then, Total number of meals possible = (Choices for appetizers) x (Choices for soups) x (Choices for main courses) +  (Choices for soups) x (Choices for main courses) x (Choices for desserts)

= 6 x 2 x 4 + 2 x 4 X 6

= 48+48

= 96

Hence, the number of three-course meals are possible= 96

Answer:

96?

Step-by-step explanation:

Which of the following shows only multiples of 12

Answers

Answer:

there is no following

Step-by-step explanation:

Answer: 12,24,36,48,60,72,84,96,108,120,132,144

Step-by-step explanation:

Hope this helps. Could not see the image attached.

5. You make $50 a week and you want to buy a car with an expected payment of $200 a month.

Answers

Answer:

what is the question

Step-by-step explanation:

you will not have enough money to pay your car bill though

(IM GIVING EXTRA POINTS AND BRAINLIEST TO WHO EVER HELPS ME! ;D)

Which of the following gives the most complete and accurate description of the
friction in the image?



A) The rough texture of the ground creates a small amount of friction.

B) The smooth texture of the ground creates a greater amount of friction.

C) The push of the suitcases causes friction between the wheels and the ground.

D) There is friction between the suitcases and the ground and between the feet and the ground.

(Here is the image) :

Answers

Answer:

I think D

Step-by-step explanation:

The ground looks pretty smooth to me, plus D has more info

Also, is that math?

Because it doesn't look like math.

Answer:

D

Step-by-step explanation:

all the others don't make sense

I'll take my brainlets

please help
what is the solution to the equation below?
34x + 95 = 3 (14x + 9)​

Answers

Answer:

x=8+1/2

Step-by-step explanation:

Hope this helps, good luck!

Answer:

x=7/2=8.500

Step-by-step explanation:

A star patterned quilt has a star with the angels shown. What is the value of x? Explain your answer.

Answers

Answer:

81°

Step-by-step explanation:

x° and 24° are interior angles of a triangle that are opposite to an exterior angle of measure 105°. According to the exterior angle theorem of a triangle, thus:

[tex] x + 24 = 105 [/tex]

Subtract 24 from both sides

[tex] x + 24 - 24 = 105 - 24 [/tex]

[tex] x = 81 [/tex]

Value of x = 81°

Write the letters of the expressions that are equivalent to the given expression.
5(2x + 3)
a. 10x + 15
b. 5x + 15x + 5x
c. 10x + 8

Answers

Answer: A.) 10x + 15

Step-by-step explanation:

You would distribute (multiply) the 5 to the 2x which would then make it 10x and you would distribute (multiply) the 5 to the 3 which would then make it 15. Because the 5 is a positive number the sign stays the same.

Therefore, 10x + 15 is your answer.

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