the auto parts department of an automotive dealership sends out a mean of 66 special orders daily. what is the probability that, for any day, the number of special orders sent out will be no more than 33

Answers

Answer 1

Answer:

0% probability that, for any day, the number of special orders sent out will be no more than 33

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 66 special orders daily

This means that [tex]\mu = 66[/tex]. We have the mean during a time interval, which means that the number of special orders follow a Poisson distribution, which has [tex]\sigma = \sqrt{\mu} = \sqrt{66}[/tex]

What is the probability that, for any day, the number of special orders sent out will be no more than 33?

Since the Poisson distribution, which is discrete, is approximated to the normal(which is continuous), we have to use continuity correction, and thus, this probability is P(X < 33 - 0.5) = P(X < 32.5), which is the p-value of Z when X = 32.5.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{32.5 - 66}{\sqrt{66}}[/tex]

[tex]Z = -4.12[/tex]

[tex]Z = -4.12[/tex] has a p-value of 0.

0% probability that, for any day, the number of special orders sent out will be no more than 33


Related Questions

What is A line that a graph approaches as x or y increases, but never crosses?

Answers

Answer:

Asymptotes. The y -axis is a vertical asymptote of the graph. This means that the curve gets closer and closer to the y -axis but does not cross it. Let us consider what happens as the value of x approaches zero from the right for the equation whose graph appears above.

Step-by-step explanation:

if jason had2/7 cakes and 5/9 how much wood that be

Answers

I hope this helps you out

ABC Bookstore sells packages of books that include both new and used books. New books cost $16 and used books cost $8. The bookstore wants to sell packages that have 30 books total, and the store charges $336 for each package. How many new and used books will be in each package?

A. 318 new, 12 used

B. 12 new, 18 used

C. 16 new, 8 used

D. 8 new, 16 used​

(It's B, just took the test)

Answers

Answer:

b

Step-by-step explanation:

the following equations can be determined from the question

16n + 8o = 336 equation 1

n + o = 30 equation 2

where n = new books

o = old books

Multiply equation 2 by 8

8n + 8o = 240 equation 3

subtract equation 2 from 1

8n = 96

n = 12

substitute for n in equation 2

12 + o = 30

o = 18

Answer:

B. 12 new, 18 used

Step-by-step explanation:

Hope this helps!

GIVING BRAINLY FOR WHOEVER ANSWERS THIS

Answers

Answer:

20%

Step-by-step explanation:

Probability is always expressed as a part of a whole, thereby in fractions or percentages. From the statistics gathered, it said that 80% of the time, the plane arrives right on schedule in El Centro. That means that the probability of NOT arriving on time is the other portion, which is 20%. The answer is 20%.

For Mother's Day, Meghan bought her mother flowers that cost $25.34 and a card that was $2.99. She also bought herself a candy bar. If she paid with three $10 bills and got 58 cents back, how much was her candy bar.

Answers

Answer:

1.10

Step-by-step explanation:

Answer:

$1.09

Step-by-step explanation:

3 10 dollar bills is $30

$30 - $25.34 - $2.99 - $0.58 = $1.09

Let u = x ^ 2 + 3 . Which equation is equivalent to (x ^ 2 + 3) ^ 2 + 21 = 10x ^ 2 + 30 in terms of u?

Answers

Answer:i think that it is B

u^2 - 10u + 51=0

Step-by-step explanation:

Cars enter a car wash at a mean rate of 3 cars per half an hour. What is the probability that, in any hour, at least 3 cars will enter the car wash

Answers

Answer:

0.938

Step-by-step explanation:

Using the poisson probability relation:

P(x = x) = (e^-λ * λ^x) ÷ x!

λ = 3 per half an hour = 6 cars per hour

P(x ≥ 3) = 1 - [p(x = 0) + p(x = 1). + p(x = 2)]

P(x ≥ 3) = (e^-6* (6^0 + 6^1 + 6^2/2!))

P(x ≥ 3) = 1 - (e^-6 * (1 + 6 + 18)

P(x ≥ 3) = 1 - (e^-6 * 25)

P(x ≥ 3) = 1 - (0.0024787 * 25)

P(x ≥ 3) = 1 - 0.0619688

P(x ≥ 3) = 0.9380311

= 0.938

what is the constant rate change shown in the graph below?​

Answers

The constant rate of change is 5 because

Answer:

the two points be

(0,0) and (1,-3)

slope [m]=[-3-0]/[1-0]=-3

constant rate is-3.

Hello i need some help

Answers

Answer to the first question is Yes and the answer for the second question is C

HELP!!! Find the angle measure.

Answers

Answer:

AOB=40°

COD=90°

BOD=130°

AOD=180°

Find the surface area of the following figures.

with solution please. T-T​​

Answers

Answer:

1.a=5cm

Surface area :6a²=6×5²=150cm²

2.r=3cm

h=5cm

total surface area of cylinder =2πr(r+h)

=2π×3(3+5)=48π cm²

3.

l=4m

b=5m

h=2m

now.surface area =2(lb+lh+bh)

=2(4*5+4*2+5*2)

=76m²

4.

r=6cm

surface area =4πr²=4*π*6²=144πcm²

5.

slant height (S)=8cm

length =breadth=(L)=4cm

Surface area of pyramid =area of base + 2* area of trainglular face

=L²+2*S*L

=4²+2*8*4

=80cm²

Help me plsssssssssssss

Answers

9514 1404 393

Answer:

  8.4

Step-by-step explanation:

The given segment relations tell you that the parallel lines are equally spaced. This means that ...

  WV = 3×WY

  WV = 3×2.8

  WV = 8.4

A telephone pole casts a shadow that is 12 feet long. At the same time, a man standing nearby who is 6 feet tall casts a shadow that is 2 feet 4 inches long. How tall is the
telephone pole to the nearest foot?
The telephone pole is feet tall

Answers

Answer:

31 feets

Step-by-step explanation:

Given that :

Telephone shadow Ts = 12 feets

Man's height, Mh= 6 feets

Man's shadow, Ms = 2 feets 4 inches

Height of telephone, Th =?

Recall :

1 foot = 12 inches

x foot = 4 inches

12x = 4

x = 4/12 = 1/3 inches

Hence, man's shadow = 2 1/3 feets =

Using cross multiplication :

Mh / Ms = Th / Ts

6 / 7/3 = Th / 12

6 / 2.33333 = Th / 12

12 * 6 = 2.33333 * Th

72 = 2.33333 Th

Th = 72 / 2.333333

Th = 30.85

Height of telephone pole = 31 feets

given the system of equations, what is the value of the system to determinant.

x + y = 8

x + y = 10
-----------------
-2
-1
0

Answers

Answer:

0

Step-by-step explanation:

given the system of equations, what is the value of the system to determinant.

x + y = 8

x + y = 10

This can be written in the form AX = b

A is a 2 by 2 matrices

b is a column matrix

Taking the determinant of A

[tex]A =\left[\begin{array}{ccc}1&1\\1&1\\\end{array}\right][/tex]

We are to finds the determinant

|A| = 1(1) - 1(1)

|A| = 1 -1

|A| = 0

hence the required determinant is 0

the product of nine, y and x not simplified.​

Answers

Answer:

9yx

Step-by-step explanation:

product means multiply.

nine, y and x

9yx

please help me solve this

Answers

Answer:

20.5

Step-by-step explanation:

By the Triangle Midsegment Theorem, the midsegment connecting the midpoints of two sides of a triangle is parallel to the third side of the triangle, and the length of this midsegment is half the length of the third side. Therefore, (1/2)FH ≡ IH, (1/2)HG ≡ HJ. Knowing that IJ = 8 gives you the presidence to solve for the perimeter.

I need some help!! I will try to give brainliest!!!

Answers

67 degrees.


180-127=53
53+60=113
180-113= 67

What is the solution to the equation below? Х = 4 -3

Answers

Answer:

If there's no other variables involved.

x=1

Answer:

x = 1

Step-by-step explanation:

x = 4 - 3

4 - 3 = 1

Hence, x = 1

which model shows all of these numbers correctly placed one the number line

Answers

Answer:

2nd

Step-by-step explanation:

bec 1\8  = 0.125 so it must be close more to 0

and the 1.33 is bigger than 1.25

Frequency of y=sin0/3

Answers

Answer:

y=sin(°/3) means that y equals the sine of a given degree divided by 3.

A ball moves in a straight line has an acceleration of a(t) = 2t + 5. Find the position function of the ball if its initial velocity is -3 cm per second and it’s initial position is 12 cm.

Answers

Answer:

[tex]s(t) = frac{t^3}{3} + \frac{5t^2}{2} - 3t + 12[/tex]

Step-by-step explanation:

Relation between acceleration, velocity and position:

The velocity function is the integral of the acceleration function.

The position function is the integral of the velocity function.

Acceleration:

As given by the problem, the acceleration function is [tex]a(t) = 2t + 5[/tex]

Velocity:

[tex]v(t) = \int a(t) dt = \int (2t+5) dt = \frac{2t^2}{2} + 5t + K = t^2 + 5t + K[/tex]

In which K is the constant of integration, which is the initial velocity. So K = -3 and:

[tex]v(t) = t^2 + 5t - 3[/tex]

Position:

[tex]s(t) = \int v(t) dt = \int (t^2 + 5t - 3) = \frac{t^3}{3} + \frac{5t^2}{2} - 3t + K[/tex]

In which K, the constant of integration, is the initial position. Since it is 12:

[tex]s(t) = frac{t^3}{3} + \frac{5t^2}{2} - 3t + 12[/tex]

Find two consecutive odd images interfere whose sum is 36
Which of the following equation could be used to solve the problem

Answers

Answer:

Step-by-step explanation:

The integers are: x, x+2

Them, x + x+ 2 = 36

2x +2 = 36

What is the perimeter, in -inches, of the square shown below? A 8 B 16. C 32 D 64​

Answers

Answer:

The perimeter, in inches, is 32.

Step-by-step explanation:

Since this shape is a square, we know that all sides are equal.

The information given to us is that one side of the square measures 8 inches.

8 + 8 + 8 + 8 = 32

Answer:

c   32

Step-by-step explanation:

Squares have 4 sides of the same length

8 * 4 = 32

PLEASE LIKE HONESTLY PLEASE

Answers

Answer:

250 in²

Step-by-step explanation:

There are four identical rectangles so therefore area of one rectangle times 4. Then add the sum of the areas of the two identical squares.

4( l x b) + 2( l x b)

4( 10 x 5) + 2(5 x 5)

4(50) + 2(25)

200 + 50

Therefore 250 in²

5. A simple random sample is defined by
(A) the method of selection
(B) how representative the sample is of the population
(C) whether or not a random number generator is used
(D) the assignment of different numbers associated with the outcomes of some
chance situation
(E) examination of the outcome

Answers

Answer:

b. because if there is a bigger population the sample will be more random

centipede would beat frog any day also ez Q for u

Answers

Answer:

32

Step-by-step explanation:

Dividing by a fraction is the same as multiplying by the reciprical of the fraction, i.e. dividing by 1/4 is the same as multiplying by 4/1 :)

Erin has two cats. The larger cat weighs 2.6 pounds more than the smaller cat. The combined weight of the two cats is 19.6 pounds. What is the weight, in pounds of the smaller cat?

Answers

Answer:

7.2

Step-by-step explanation:

just divide the total weight by 2 and add 2.6. after adding 2.6 you subtract that weight from the total.

What is the tenth term of the sequence described by the rule?
A(n)=−9+5(n−1)

Answers

Answer:

46

Step-by-step explanation:

Replace n by 10 in the rule a(n) = -9 + 5(n - 1):

a(10) = -9 + 5(9) = 45 - 9 = 46

PLEASE HELP 7TH GRADE MATH
BRAINLIEST-SHOWS WORK
PLEASE HELP
ANSWE 1 OR MORE AN WILL MARK BRAINLIEST 1 OR MORE

Answers

Answer:

[tex]2\pi \times r[/tex]

1. 2×3.14×80

=502.4 m

4. 90 pound on Earth weighs 34 pounds on Mars.

If it weighs 135 pounds on earth, it will weigh x pounds on Mars

=90×=135×34

=90x=4590

=x=4590÷90

x=51 pounds

So therefore it weighs 51 pounds on Mars.

Step-by-step explanation:

in question 4 you have to cross multiply



Which of these lines is perpendicular to the line 5y = -6x + 2?

Answers

Answer:6y= -5x + 3

Step-by-step explanation:

The product of the slope of the perpendicular lines is equal to a negative one. Then the equation of the perpendicular line is 6y = 5x.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equation of the line is given below.

5y = -6x + 2

The slope of the equation is -6/5.

Then the equation of the line which is perpendicular to 5y = -6x + 2 is given as

y = mx + c

The product of the slope of the perpendicular lines is equal to a negative one.

The slope of the perpendicular line will be

(-6/5) m = -1

         m = 5/6

Then the equation will be

y = (5/6)x + c

Let the equation is passing through the origin, then we have

6y = 5x

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ2

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