The figure shows a loading dock and a side view of an attached ramp, whose run is 12 feet and whose rise is 39 inches. Alex is wondering whether a long rectangular box can be stored underneath the ramp, as suggested by the dotted lines. The box is 2 feet tall and 5 feet long. Answer Alex’s question.

a. The probability that exactly ten arrive during the hour and all ten have no violations is given by the Poisson distribution, P(X=10) = (e-α*(α10)/(10!) = 0.024

b. The probability that y arrive during the hour, of which ten have no violations is given by the Binomial distribution, P(Y=y) = (y!/(10!*(y-10)!))*(0.510)*(0.5y-10)

c. The probability that ten "no-violation" cars arrive during the next hour is given by summing the probabilities in part (b) from y=10 to [infinity]. This is given by P(Y≥10) = Σy=10 to ∞P(Y=y) = 1 - Σy=0 to 9P(Y=y).

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Answer:

0.02386212991

Step-by-step explanation:

Answer:

0.0238621299

Answer:

,

Step-by-step explanation:

,...

If the new copier costs $800 per month plus $0.25 for each copy, then the total cost for 6000 copies a month is $2300.

The total cost of leasing a copier from the Shelly group depends on the number of copies made each month.

We have to find the cost for making 6000 copies a month,

The equation to represent the total cost is represented as :

⇒ Total cost = (Monthly lease cost) + (Cost per copy × Number of copies),

⇒ Monthly lease cost = $800

⇒ Cost per copy = $0.25

⇒ Number of copies = 6000,

Substituting the values,

We get,

⇒ Total cost = $800 + ($0.25×6000)

⇒ $800 + $1500

⇒ $2300

Therefore, the total monthly cost is $2300.

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The second wheel has a smaller circumference compared to the first wheel. The second wheel completes a revolution when the wheel turns 75.40 inches, but the odometer reads 84.82 inches.

There are two types of odometers

In the case of a mechanical odometer, the worm gear is used to make the gear train, and the overall gear ratio is 1690:1, which means that when the vehicle travels a distance of 1 mile, the mechanical odometer input shaft makes 1690 revolutions during this time. In the case of a digital odometer, a magnetic sensor is used to receive pulses, each of which counts as one revolution. We now have a bicycle odometer designed for 27 wheels. Thus, d₁ = 27 inches is the diameter of the first wheel

d₂= 24 inches is the diameter of the second wheel

The odometer is the distance traveled by the vehicle, given as the number of revolutions of the wheel multiplied by the circumference of the wheel. So for the first wheel, Therefore, in case of first

wheel, \(C_1 = πd_1 \)

= π × 27

= 84.82 inches

In case of second wheel,

\(C_2 = π × d_2\)

= π × 24 inches

= 75.40 inches

So, \(C_1 - C_2 = \) 84.82 inches - 75.40 inches

= 9.42 inches

So we can see that the second wheel has circumference is less as compared to the first wheel.

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Complete question:

bicycle odometer is designed for 27 wheels. what happens if you use it on a bicycle with 24 wheels?

Assuming Alice has 2 apples, there are 19 ways to split the rest of the apples with Becky and Chris.

The total number of ways to split 24 apples between the three friends is equal to 19 + 18 + 17 + 16 + 15 + ...……+ 2 + 1 = 20 x ( 19 / 2 ) = 190

Alice can share them with Becky and Chris in a variety of ways, as long as each person has at least 2 apples. For example, Alice could give Becky 8 apples and Chris 16 apples, or she could give Becky 10 apples and Chris 14 apples. As long as each person has at least 2 apples, there are many ways for Alice to share her apples.To split the apples, we employ the Ball-and-urn method, also referred to as "Sticks and Stones" or "Stars and Bars."

Hence there are 19 different ways she can share them with becky and chris so that each of the people has at least 2 apples.

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To find positive integers $a$, $b$, and $2009$ such that $a + b = a \cdot b = 2009$, we observe that $2009$ is a prime number. Since the product of two positive integers is equal to their sum only when they are both equal to $2$, it follows that $a = b = 2$. Thus, the solution is $a = b = 2$.

The problem asks for positive integers $a$, $b$, and $2009$ such that $a + b = a \cdot b = 2009$. First, we note that $2009$ is a prime number. Since the product of two positive integers is equal to their sum only when they are both equal to $2$, we conclude that $a = b = 2$. This can be understood by considering the prime factorization of $2009$, which is $7^2 \cdot 41$. Since $7$ and $41$ are both prime factors, they cannot be expressed as the sum of two positive integers. Therefore, the only solution is $a = b = 2$.

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Answer:

$12 per hour

Step-by-step explanation:

51 -39 =12 minutes 31 -27=12minutes

also took the test

$12 per hour

just took the test hope this helps:)

Answer:-1

Step-by-step explanation:

Answer: -6

Step-by-step explanation:

the line pass through (-3,-6)

Divide the number of micrometers by 10,000 to get the equivalent number of centimeters.

To convert micrometers to centimeters, you need to use the conversion factor between the two units. There are 10,000 micrometers in a centimeter.

Here are the steps to convert micrometers to centimeters:

1. Start with the number of micrometers you want to convert.
2. Divide the number of micrometers by 10,000 to get the equivalent number of centimeters.
3. The result is the number of centimeters equivalent to the given number of micrometers.

For example, if you want to convert 50,000 micrometers to centimeters, you would divide 50,000 by 10,000 to get 5 centimeters.

So, the conversion formula is:

centimeters = micrometers ÷ 10,000

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From the given questions data the relation B and relation C is not a function.

What is the function?

A function is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. In other words, for a relationship to be a function, each input can only be associated with one output.

Using this definition, we can determine which of the given relations is not a function by checking whether each input is associated with exactly one output.

A. The inputs in relation A are 5, -2, 4, and -6. Each of these inputs is associated with exactly one output (4, 2, 1, and 2, respectively). Therefore, relation A is a function.

B. The inputs in relation B are -6, 4, -2, and 5. However, both -6 and 4 are associated with the output 4, so they violate the requirement that each input can only be associated with one output. Therefore, relation B is not a function.

C. The inputs in relation C are 4, -2, 4, and -6. The input 4 is associated with two different outputs (4 and 1), so relation C is not a function.

D. The inputs in relation D are -2, 4, 5, and -6. Each of these inputs is associated with exactly one output (4, 2, 1, and 5, respectively). Therefore, relation D is a function.

Therefore, the answer is relation B and relation C is not a function.

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Answer:

the answer is 5/6

Step-by-step explanation:

the company is not the first BFF to come to mr as default

the answer is 5/6. have a good day

In the given scenario ladder is 6.52 feet long.

Given that,

The angle between ground and ladder = 62 degree

The distance of ladder from ground and ladder = 3 feet

We have to find the length of  ladder.

Since we know that,

The trigonometric ratio

cosθ = adjacent/ Hypotenuse

Here we have,

Adjacent =  3 feet

Hypotenuse = length of ladder

Thus to find the length of ladder we have to find the value of hypotenuse.

Therefore,

⇒ cos62 = 3/ Hypotenuse

⇒    0.46 = 3/ Hypotenuse

⇒ Hypotenuse =  3/0.46

                          = 6.52

Thus,

length of ladder  = 6.52 feet.

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The side length of the large frame is 4 inches longer than the side length of the small frame.

To find the difference in side lengths between the small square frame and the large square frame, we need to find the length of the sides of each frame.

Let x be the length of the side of the small square frame. Then, we know that the area of the small frame is 16 square inches.

Area of small frame = side length of small frame x side length of small frame = 16
\(x^2 = 16\)

Taking the square root of both sides, we get:
\(x = 4 inches\)

So, the length of the side of the small square frame is 4 inches.

Now, let y be the length of the side of the large square frame. We know that the area of the large frame is 64 square inches.

Area of large frame = side length of large frame x side length of large frame = 64
\(y^2 = 64\)

Taking the square root of both sides, we get:
y = 8 inches

So, the length of the side of the large square frame is 8 inches.

To find the difference in side lengths, we subtract the length of the small frame from the length of the large frame:
\(y - x = 8 - 4 = 4\)

Therefore, the side length of the large frame is 4 inches longer than the side length of the small frame.

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The odds in favor of and odds against the event with the probability P(D) = 6/7 and P(D) = 5/9 in lowest term ratio is  odds in favor of D are 6:1 and the odds against D are 1:6 and  the odds in favor of D are 5:4 and the odds against D are 4:5 respectively.

To find the odds in favor of an event given the probability, we use the formula:

odds in favor = probability of the event / probability of not the event

odds against = probability of not the event / probability of the event

Using the given probability P(D) = 6/7,

we can find the probability of not D by subtracting from 1:

P(not D) = 1 - P(D) = 1 - 6/7 = 1/7

Now we can plug in the values to find the odds:

odds in favor of D = P(D) / P(not D) = (6/7) / (1/7) = 6

odds against D = P(not D) / P(D) = (1/7) / (6/7) = 1/6

So the odds in favor of D are 6:1 and the odds against D are 1:6.

Using the given probability P(D) = 5/9,

we can find the probability of not D by subtracting from 1:

P(not D) = 1 - P(D) = 1 - 5/9 = 4/9

Now we can plug in the values to find the odds:

odds in favor of D = P(D) / P(not D) = (5/9) / (4/9) = 5/4

odds against D = P(not D) / P(D) = (4/9) / (5/9) = 4/5

So the odds in favor of D are 5:4 and the odds against D are 4:5.

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Answer:

x^2+1

You need to go ahead and distribute the power of 2 into the equation, remember pemdas is extremely important when doing this

Answer:

A= b×h

b=12

h=9

12×9= 108

A=108m

Hope this helps.

Answer: View answer in explanation below.

Step-by-step explanation: Let's use variables to represent the unknown quantities.

Let x be the number of $5 clearance mystery books purchased.

Let y be the number of $12 regular-priced science fiction books purchased.

We can set up a system of equations based on the given information:

5x + 12y = 126 (total amount spent)

x + y = total number of books purchased

We need to solve for x and y.

Let's use the second equation to solve for one variable in terms of the other:

y = total number of books purchased - x

Now we can substitute this expression for y into the first equation:

5x + 12(total number of books purchased - x) = 126

Simplifying and solving for x:

5x + 12total number of books purchased - 12x = 126

-7x + 12total number of books purchased = 126

-7x = -12total number of books purchased + 126

x = (12total number of books purchased - 126)/7

Since x must be a whole number (you can't buy a fraction of a book), we need to find a value of total number of books purchased that makes x a whole number. We can start by trying different values of total number of books purchased:

If total number of books purchased is 10:

x = (12(10) - 126)/7 = -6/7 (not a whole number)

If total number of books purchased is 11:

x = (12(11) - 126)/7 = 6/7 (not a whole number)

If total number of books purchased is 12:

x = (12(12) - 126)/7 = 6/7 (not a whole number)

If total number of books purchased is 13:

x = (12(13) - 126)/7 = 12/7 (not a whole number)

If total number of books purchased is 14:

x = (12(14) - 126)/7 = 18/7 (not a whole number)

If total number of books purchased is 15:

x = (12(15) - 126)/7 = 24/7 (not a whole number)

If total number of books purchased is 16:

x = (12(16) - 126)/7 = 30/7 (not a whole number)

If total number of books purchased is 17:

x = (12(17) - 126)/7 = 36/7 (not a whole number)

If total number of books purchased is 18:

x = (12(18) - 126)/7 = 42/7 = 6 (a whole number)

So, you bought 6 $5 clearance mystery books and 12 - 6 = 6 $12 regular-priced science fiction books.

To solve the investment problem and determine how the retiree should invest her money to maximize expected earnings, we can set up a linear programming problem using the given data.

Let's define the decision variables as follows:

xM: Amount invested in municipal bonds (in dollars)

xR: Amount invested in real estate (in dollars)

xβ: Amount invested in blue chip stocks (in dollars)

xJ: Amount invested in junk bonds (in dollars)

xG: Amount invested in grain futures (in dollars)

The objective is to maximize expected earnings, which can be represented as:

0.06xM + 0.08xR + 0.1xβ + 0.12xJ + 0.15xG

Subject to the following constraints:

xM + xR + xβ + xJ + xG ≤ 250,000 (total investment cannot exceed $250,000)

xR / 100,000 + 1.5xβ / 100,000 + 2.5xJ / 100,000 + 5xG / 100,000 ≤ 5 (total management hours per week cannot exceed 5)

xM, xR, xβ, xJ, xG ≥ 0 (investment amounts cannot be negative)

Using Excel or any other linear programming software, we can input these constraints and the objective function to obtain the optimal solution. However, based on the provided information from Maple, the solution is as follows:

xM = $27,500

xR = $125,000

xβ = 0

xJ = 0

xG = 0

This means that the retiree should invest $27,500 in municipal bonds and $125,000 in real estate to maximize her expected earnings. No investment should be made in blue chip stocks, junk bonds, or grain futures according to this solution.

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You can infer causality from a correlational result, but only when the r value is greater than:

C. 1

Causality refers to a situation in which one event causes another. When there is a correlation between two variables, it means that they tend to move in the same direction.

However, this does not necessarily mean that one event causes the other. In order for a correlation to indicate causality, the correlation coefficient (r) must be greater than 1. If the correlation coefficient is below 1, then there is not enough evidence to suggest that one event causes the other.

In addition, there are other factors that need to be considered when assessing causality from a correlational result.

For example, the strength of the relationship between the variables, the direction of the relationship, and the consistency of the results over time. It is also important to consider the context in which the research was conducted, as this may have an effect on the results.

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Answer:

-117

Step-by-step explanation:

2x1+48-5x48+96-23=-117

First multiplication

2×1=2

5×48=240 ->

2+48-240+96-23

2+48=50

50-240=-190

-190+96=-94

-94-23=-117

Hope that helped! Let me know if you have any further questions.

The value of x is 11 and ∠LMN = 190°

What is Linear Equation in One Variable?

A linear equation is a one-variable equation of a straight line. The variable's only power is 1. Linear equations in one variable of the form   ax + b = 0 are solved using simple algebraic techniques.

Solution:

Since, MO bisects the angle

we can say that, ∠LMO = ∠OMN

6x + 19 = 9x - 14

3x = 33

x = 11

so, ∠LMO = 66 + 19 = 85°

Therefor the ∠LMN = 190°

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The answers are explained in the solution.

Given that, a bus and a car have speed of 100km/hr and 120km/hr.

They are covering a distance of 340 km, they started travelling at 7:00 am,

Speed = distance / time

A) Bus travelled in 30 minutes = 100 × 0.5 = 20 km

After 30 minutes = 100 × 0.5 = 20 km

Total distance by bus in 1 hour = 40 km

Car covered in 30 minutes = 120 × 0.5 = 60 km

Distance between them = 60-40 = 20 km

Relative speed = 120-100 = 20 km/h

Time to catch up = 20/20 = 1 hour

Distance from Nairobi = 60 + (1 × 120) = 180 km

Therefore, the car catches up with the bus 180 km from Nairobi,

B) Time taken = 30 + 30 + 1 = 2 hours.

7:00am + 2 hours = 9:00 am

C) Time taken by bus to reach the destination = 340 / 100

= 3.4 hours

Hence, bus took 3.4 hours to reach the destination.

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Answer:

x = 31

Step-by-step explanation:

\(3x+43=4x+2(4+2)\\\\\rightarrow 2*4=8\\\rightarrow 2*2=4\\\\3x+43=4x+8+4\\\\3x+43=4x+12\\\\3x+43-43=4x+12-43\\\\3x=4x-31\\\\3x-4x=4x-31-4x\\\\-x=-31\\\\\frac{-x}{-1}=\frac{-31}{-1}\\\\\boxed{x=31}\)

Answer:

x=31

Step-by-step explanation:

first we simlify to get the simplist equation. 3x + 43 = 4x + 12. then 4x - 3x equalls and 43 - 12 equals 31.    

Answer:

f (0) = 0

Step-by-step explanation:

Substitute x= 0 into f (x) = -2 + 2

f (0) = -2 + 2

Simplify:

f(0) = 0

Answer:

For some reason i couldn't add an answer, but it 8.80 because 9 was rounded to 10 and changed the 7 to 8.

Step-by-step explanation:

Answer:

The answer is 4/45 lbs

Step-by-step explanation:

To solve, simply divide 2/3 by 7 1/2.

(2/3)/ (15/2)

When you divide fractions, you need to flip the second one, then multiply.

(2/3)*(2/15)

Multiply across.

4/45

The weight of Samantha's purchase is 4/45 pounds

Answer:

The value of w is 3.

Step-by-step explanation:

Parallelograms have equal opposite side measures.

so,

6w = w +15

6w - w = 15

5w = 15

w = 3

Answer:

w=3

Step-by-step explanation:

The opposite arms of parallelogram are equal

So the equation is

6w=w+15

=>6w-w=15

=>5w=15

=>w=15/5

Therefore

w=3

If you find my answer helpful.then please mark me as brainliest

Answer:

sorry but i can not read the paper it is blurry

Step-by-step explanation:

thnks for points BTW

Answer:

ABOUT 0.6666666666666666667

Answer:  The 2/3 fraction as a decimal is 0.666666666667

The amount of cards as a decimal is unknown (need quantity info)

Step-by-step explanation:

The 2/3 fraction in decimal form can be rounded to the proper degree of precision (such as .67 for hundredths).