A store opens at 8am. From 8 until 10am customers arrive at a Poisson rate of four an hour. Between 10am and 12pm they arrive at a Poisson rate of eight an hour. From 12pm and 2pm the arrival rate increases steadily from eight per hour at 12pm to ten per hour at 2pm; and from 2 to 5pm the arrival rate drops steadily from ten per hour at 2pm to four per hour at 5pm. Determine the probability distribution of the number of customers that enter the store on a given day.
The probability distribution of the number of customers that enter the store on a given day is described as follows:
Poisson with a mean of 70 customers.
What is the Poisson distribution?In a Poisson distribution, the mass function probability that X represents the number of successes of a random variable is given by the equation presented as follows:
\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)
The parameters are:
x is the number of successes that we want to find the probability of.e = 2.71828 is the Euler number.\(\mu\) is the mean in the given interval or range of values of the input parameter.A combination of Poisson variables is a Poisson variable, hence the daily distribution is a Poisson variable with mean given by the sum of these following observations:
8 customers from 8 am to 10 am.16 customers from 10 am to 12 pm.18 customers from 12 pm to 2 pm. (the average over the interval is of 9 an hour).28 customers from 2 pm to 5 pm.Hence the mean is of:
8 + 16 + 18 + 28 = 70 customers.
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What is 74 in standard form? O A. 11 OB. 28 Oc. C. 2, 401 O O D. 16,384
Answer:
oc2
Step-by-step explanation:
because
PLEASSEE HELP ME. this wasnt showing up on asking questions. will mark brainliest
SOH CAH TOA
sin(P) = opp./hyp. = 5/13
tan(T) = opp./adj. = 12/5
cos(T) = adj./hyp. = 5/13
What is Two-thirds divided by one-sixth?
An area model with 4 shaded parts and 2 unshaded parts. The shaded parts are labeled two-thirds.
2
3
4
6
Answer: 4
Step-by-step explanation:
So, what I do to divide fractions is to turn them into reciprocals, which means changing it into a multiplication problem and turning the second fraction upside down. So, \(\frac{2}{3}\) x \(\frac{6}{1}\). We multiply across, so 2 x 6 is 12, and 3 x 1 is 3, which gets us to \(\frac{12}{3}\). Since this is an improper fraction, we can simplify by dividing 12 by 3 to get 4. Hope this helps! :)
Answer:
4 (C) hope this helps!!
BYEEEEEEEEE!
10. Higher Order Thinking Each of 5 friends has x action figures in
his or her collection. Each friend buys 11 more action figures. Now
the 5 friends have a total of 120 action figures.
a. Write an equation that models the problem.
b. Solve the equation to find the number of action figures, x, that
each friend had originally.
Each friend had originally 13 action figures before buying 11 more.
Given that there are 5 friends and each of them has x action figures in his or her collection. When they buy 11 more action figures, the total number of action figures they will have is 120.
a) We need to find an equation that models the problem. Let x be the original number of action figures that each friend had.
Therefore, the total number of action figures that each friend will have after purchasing 11 more is x + 11.
The total number of action figures will be 5(x + 11) = 5x + 55.
Now, according to the problem,5x + 55 = 120
This is our equation that models the problem.
b) We have to solve the equation 5x + 55 = 120 to find the original number of action figures, x, that each friend had before buying 11 more action figures.
5x + 55 = 120
5x = 120 - 55 (subtract 55 from both sides)
5x = 65x = 13
Therefore, each friend had originally 13 action figures before buying 11 more.
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Explain in detail using words the step by step process that Maggie took to solve the problem 6.89 x 10^-4 / 7.5 x 10^-6 = .92 x 10^1
The steps in solving the given expression shows that the result is:
0.92 * 10²
How to use Laws of Exponents?The expression is given as:
6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹
The steps that Maggie followed are:
Step 1: Rewrite the given expression:
6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹
Step 2: Divide the coefficients:
The coefficient of the numerator (6.89) is divided by the coefficient of the denominator (7.5) to get:
6.89 / 7.5 = 0.9186667.
Step 3: Divide the powers of 10:
This is done by subtracting the exponent of the denominator 10⁻⁶ from the exponent of the numerator 10⁻⁴ to get: 10²
Step 4: Combine the results:
This gives:
0.9186667 * 10²
Step 5: Simplify the coefficient:
She rounded the coefficient (0.9186667) to two decimal places, resulting in 0.92.
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Explain 5 different ways you use Math in your everyday life.
This is a telpas thing btw
Answer:
School, Looking at what episode of anime I am on, Looking at the time, Looking at my calendar, and another is when I am doing brain teasers!
Step-by-step explanation:
Does this count?
Answer:
Time deltas
Step-by-step explanation:
which of the following is not an example of a source locator? dewey decimal number page timestamp slide number
A slide number is not an example of a source locator.
A source locator is a reference system that allows someone to locate a specific piece of information within a larger source, such as a book, article, or website.
A Dewey Decimal Number is a source locator used in libraries to organize books by subject. A page timestamp is a source locator used in online articles or documents to pinpoint where a piece of information is located.
A slide number is used to locate a specific slide within a presentation, but it is not used to reference information within a larger source like a book or article.
Therefore, a slide number is not an example of a source locator.
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Which of the following is not an example of a source locator?
a. dewey
b. decimal number
c. page timestamp
d. slide number
How effective is it to go to your manager to request others take on some activities?
The effectiveness depends on your score of working.
How effective is it to go to your manager to request others take on some activities?
Certainty implies, indeed, that favorable things will happen and uncertainty implies favorable things won't happen.
If we go to our manager, requesting that others should take some activities. It certainly depends upon the our score in the office. if we are hard working than in situations manager could approve our request and if our score is low or we are not a hard worker than result may no be in our favor.
Thus, the effectiveness depends on your score of working.
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Benny has 72 teddy bears at his toy store. He wants to put them on 8 shelves with
the same number of bears on each shelf. How many teddy bears are on each shelf?
Answer: Answer below
Step-by-step explanation: So you would simply have to divide 8 into 72 which would be 9.
we can verify our answer by doing 9x8 which equals 72.
Answer: 9
Step-by-step explanation:
bears divided by shelves = number of bears per shelf
72 bears divided by 8 shelves= 9 bears per shelf
Simplify \sqrt[3]{135^{a13}}
The simplified expression of the radical expression ∛135a¹³ is (135a¹³)¹/³
How to evaluate the radical expressionFrom the question, we have the following parameters that can be used in our computation:
A radical expression
The radical expression is given as
\sqrt[3]{135^{a13}}
Represent the expression properly
So, we have the following representation
∛135a¹³
Apply the exponent rule of indices
This gives
∛135a¹³ = (135a¹³)¹/³
135 and a¹³ are not perfect cube root expressions
This means that the expression cannot be further simplified
Hence, the solution is (135a¹³)¹/³
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evaluate the numerical value of the final momentum of the t-shirt using the results from parts a and b.
The final amount momentum of the t-shirt is 17.5 kg⋅m/s, which is the sum of the initial momentum of the t-shirt (2 kg⋅m/s) and the change in momentum (15.5 kg⋅m/s) due to the force applied.
The final amount momentum of the t-shirt is 17.5 kg⋅m/s, which is calculated by summing the initial momentum of the t-shirt (2 kg⋅m/s) and the change in momentum (15.5 kg⋅m/s) due to the force applied. Momentum is a vector quantity which is equal to the product of the mass and velocity of an object. In this case, the t-shirt has a mass of 4 kg and a velocity of 4 m/s. The force of 15 N applied to the t-shirt for 3 seconds causes the t-shirt to accelerate, increasing its velocity from 4 m/s to 8 m/s. This increase in velocity results in an increase in the momentum of the t-shirt from 2 kg⋅m/s to 17.5 kg⋅m/s. Thus, by calculating the change in momentum due to the applied force, we can determine the final momentum of the t-shirt.
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You are installing a rectangular pool in your backyard. The pool measures 24 feet by 16 feet. You also would like to build a concrete walkway around the pool. You have allocated 560 ft? of your backyard for both the pool and the walkway around it. How wide should you make the walkway?
Answer:
The walkway should be 2ft wide.
Step-by-step explanation:
Let x be the width of the walkway surrounding the pool.
The area including the pool is 560ft².
Let's solve for the value of x.
The length plus twice the width of the pool is multiplied by the width plus twice the width of the pool. This makes up the whole area.
A = lw
560 = (24 + 2x)(16 + 2x)
560 = 384 + 48x + 32x + 4x²
4x² + 80x + 384 - 560 = 0
4x² + 80x - 176 = 0
Divide the whole equation by 4
x² + 20x - 44 = 0
(x + 22)(x -2) = 0
x = -22; x = 2
Since we are dealing with dimensions, take the one with the positive value.
x = 2ft
Let's check
560ft² = (24ft + 2x)(16ft + 2x)
560ft² = (24ft + 2(2ft)) (16ft + 2(2ft))
560ft² = (24ft + 4ft)(16ft + 4ft)
560ft² = (28ft)(20ft)
560ft² = 560ft² ✔
8 + 3x=29 +2x
I need answer ASAP
Answer:
x = 21
Step-by-step explanation:
8 + 3x = 29 + 2x
8 + 3x - 2x = 29
8 + x = 29
x = 29 - 8 = 21
x = 21
What is 5 divided by 5000
Answer:
.001 or 1000
Step-by-step explanation:
5 ÷ 5000 = .001 or 5000 ÷ 5 = 1000
Let f(x,y,z)=(x^2)(y^3)+(z^3) and x=(s^2)*(t^3),y=s*t , and z=(s^2)*t .∂x/∂s=?
The value of ∂x/∂s is 4s^2 * t^6.
To find ∂x/∂s, we need to differentiate x with respect to s while treating t as a constant. Let's begin by substituting the given expressions for x, y, and z into the function f(x, y, z):
f(x, y, z) = (x^2)(y^3) + z^3
Substituting x, y, and z:
f(s, t) = ((s^2)(t^3))^2 * (s*t)^3 + ((s^2)*t)^3
Expanding the expression:
f(s, t) = (s^4 * t^6) * (s^3 * t^3) + (s^6 * t^3)
Now, let's differentiate x with respect to s:
∂x/∂s = ∂/∂s [(s^2)(t^3)]^2
Using the chain rule, we can differentiate each term separately:
∂x/∂s = 2 * (s^2 * t^3)^1 * ∂/∂s [(s^2)(t^3)]
Differentiating (s^2)(t^3) with respect to s:
∂/∂s [(s^2)(t^3)] = 2s * t^3
Substituting back into the expression for ∂x/∂s:
∂x/∂s = 2 * (s^2 * t^3)^1 * 2s * t^3
Simplifying:
∂x/∂s = 4s^2 * t^6
Therefore, ∂x/∂s = 4s^2 * t^6.
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A plastic bin contains red, yellow, and green key chains. Out of 350 key chains, 10% are yellow. Of the remaining key chains, 3/5 are green. How many red key chains are inside the bin?
Bigco Corporation is one of the nation’s leading distributors of food and related products to restaurants, universities, hotels, and other customers. A simplified version of its recent income statement contained the following items (in millions).
Cost of sales $ 11,571
Income taxes 249
Interest expense 23
Net earnings 1,442
Sales 16,400
Earnings before income taxes 1,691
Selling, general, and administration expense 3,543
Other revenues 428
Total expenses (excluding income taxes) 15,137
Total revenues 16,828
Prepare an income statement for the year ended June 30, current year. (Hint: First order the items as they would appear on the income statement and then confirm the values of the subtotals and totals.)
Step-by-step explanation:
I hope this answer is helpful ):
help me please (asap)!!!!
Answer:
no more Fortnight gift cards
Step-by-step explanation:
-7 5/6 x 9 1/2
help please
Answer: -893/12
Step-by-step explanation:
-7 5/6 x 9 1/2=
(-7*6/6-5/6)*(9*2/2+1/2)=
(-42/6-5/6)*(18/2+1/2)=
-47/6*19/2=
-47*19/(6*2)=-893/12
Find the domain of the function
Answer:
Here you go :)
Step-by-step explanation:
there are 3 rows of pictures on a wall. each row has 6 pictures. how many pictures are on the wall
Answer:
There are 18 pictures on the wall
Step-by-step explanation:
6 x 3 = 18
there is no way that simple multiplication is college level.
May I have brainliest please? :)
create a histogram using the values from the list given using r studio or excel. upload the histogram
2, 2, 3, 11, 11, 11, 12, 14, 14, 14, 15, 15, 15, 15, 16, 16, 17, 18, 18, 19, 19, 19, 20
You can create a histogram by creating around 4 classes and then representing the frequency of the data within these classes (see the attachment).
What is a histogram?This is a type of graph that visually represents the frequency of data. Due to this, histograms use columns and classes. The classes group data according to specific ranges.
How to create a histogram?Create the classes and frequency of the data. Here is the way you can do it:
Class - Frequency
2-7 = 3
7-12= 3
12-17= 10
17-22= 7
You can see the graph below
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Use Polya's four-step problem-solving strategy and the problem-solving procedures presented in this lesson to solve the following exercise.
Find the following sums without using a calculator or a formula. Hint: Apply the procedure used by Gauss. (See the Math Matters on page 31.)
+393 +394 + 395
(a) 1+2+3+4+...+392
(b) 1+2+3+4
x
546 + 547 +548 + 549
(c) 2+4+6+8+...+76 + 78 + 80 +82
(a) The sum of the series 1+2+3+4+...+392 is 77,028.
(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).
(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.
To solve the exercise using Polya's four-step problem-solving strategy, we will apply the procedures presented in the lesson.
(a) For the series 1+2+3+4+...+392:
Using the arithmetic series formula Sn = (n/2)(a + l), where n is the number of terms, a is the first term, and l is the last term, we can substitute the values: Sn = (392/2)(1 + 392) = 196(393) = 77,028.
(b) For the series 1+2+3+4...x:
To find the sum of this series, we need to know the number of terms (n) based on the value of x. Since the series follows a consecutive pattern, the number of terms will be equal to x itself. Thus, the sum of the series would be Sn = (x/2)(1 + x).
(c) For the series 546 + 547 + 548 + 549:
Using the arithmetic series formula Sn = (n/2)(a + l), we can determine the number of terms (n) by subtracting 546 from 549 and then adding 1: n = 549 - 546 + 1 = 4. Substituting the values into the formula: Sn = (4/2)(546 + 549) = 2(1095) = 2,190.
The final answer for each part is:
(a) The sum of the series 1+2+3+4+...+392 is 77,028.
(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).
(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.
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Perform the distributive property
3(5x-2)
Answer:
15x-6
Step-by-step explanation:
3 x 5 is 15
3 x -2 is -6
so it would be 15x-6
Ray-Ann bounces a basketball to Steve as shown in the diagram below. What is the
distance between Ray-Ann and Steve? Round your answer to the nearest tenth of a
foot. Enter deg after any degree value.
7 ft
124°
6 ft
The distance between Ray-Ann and Steve, using the law of cosines, is given as follows:
11.5 feet.
What is the law of cosines?The law of cosines states that we can find the length of the missing side c of a triangle as follows:
c² = a² + b² - 2abcos(C)
The parameters of the equation are given as follows:
C is the opposite angle to the missing side C.a and b are the sides that are adjacent to the angle C.In the context of this problem, the values of these parameters are given as follows:
C = 124º.a = 6 ft, b = 7 ft.Hence the distance between Ray-Ann and Steve is obtained as follows:
c² = 6²+ 7² - 2 x 6 x 7 x cos(124)º
c² = 132
c = square root of 132
c = 11.5 feet.
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probably very easy but i do need some help asap
my calculations are not giving me the answer i'm supposed to receive which is
9y^3(3-y)
Answer:
\(\sf 9y^3(3-y)\)
Step by step explanation:
\(\sf 27y^3-9y^4\)
Factor out common term 9 :
\(\sf \implies 9(3y^3-y^4)\)
Apply exponent rule \(\sf a^{bc}=a^{b+c}=a^ba^c\) :
\(\sf \implies 9(3y^3-y^{1+3})\)
\(\sf \implies 9(3y^3-y^1y^3)\)
Factor out common term \(\sf y^3\):
\(\sf \implies 9y^3(3-y^1)\)
Apply exponent rule \(\sf a^1=a\) :
\(\sf \implies 9y^3(3-y)\)
A bird measures 8.9 cm tall in the photo, but is actually 46.9 cm tall. Approximately how long is the birds beak in real life if it measures 1.1 cm in the photo?
Answer: Approximately 5.7 cm
combine like terms to find the answer.
Answer: 9m + 5y + 1
Step-by-step explanation:
3 + 6m + -2y - 2 + 3m + 7y
3 + -2 = 1
1 + 6m + -2y + 3m + 7y
-2y + 7y = 5y
1 + 6m + 5y + 3m
6m + 3m = 9m
9m + 5y + 1
Answer:
1+9m+5y
Step-by-step explanation:
The probability that a carton of eggs taken from the cooler at a store will have at least one cracked egg is 2.5%.
What are the odds that a carton of eggs will have at least one cracked egg?
The odds that a carton of eggs will have at least one cracked egg is the same as the probability that a carton of eggs taken from the cooler at a store will have at least one cracked egg, which is 2.5%.
What is the probability?Probability is the odds, chance, or likelihood of an expected outcome happening amid many possible and likely outcomes.
Probability is stated as a fractional value when it hovers between zero and one. Otherwise, when it is 100% sure, it is described as a certainty with the probability as 1.
On the other hand, when the event is unlikely with 100% uncertainty, its probability is described as zero.
Thus, the probability that one cracked egg exists among a carton of eggs is the same as its odds.
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