A librarian sorts 450 books at a constant rate. After 4 days, the librarian still has 150 books to sort. How much time does it take to sort the books from start to finish?

Answer:

The rest are kinetic

Step-by-step explanation:

Potential: Standing at top of slide.

                JUICE IN ORANGE

UNBURNED COAL

BATTERY

FROG SITTING

BOOK ON HIGH SHELF

PARKED CAR

the probability that the emergency center will receive five calls on a given day is approximately 0.156, or 15.6%.

To find the probability of receiving five calls on a given day at the emergency center, we need to use the Poisson distribution formula:

\(P(x = 5) = (e^{-4})*\frac{(4^5)}{(5!)}\)
Where:
- x = number of phone inquiries
- e = Euler's number (approximately 2.71828)

- ! = factorial (i.e. 5! = 5*4*3*2*1)

Given that the average number of phone inquiries per day is four, we can use that as our lambda (λ) value in the Poisson distribution formula, since lambda represents the mean number of events in a specific time interval:

λ = 4

Now we can substitute these values into the formula and solve:

P(x = 5) = (e^-4)*(4^5)/(5!) = (2.71828^-4)*(1024)/(120) ≈ 0.156

Therefore, the probability that the emergency center will receive five calls on a given day is approximately 0.156, or 15.6%.

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The probability that the emergency center will receive five calls on a given day is approximately 0.1755 or 17.55%.

To find the probability that the emergency center will receive five calls on a given day, given that the average number of phone inquiries per day is four, we can use the Poisson distribution formula.

Identify the average rate (λ): In this case, λ = 4 calls per day.

Identify the desired number of events (k): In this case, k = 5 calls.

Use the Poisson distribution formula: \(P(X = k) = (e^(-λ) \times (λ^k)) / k!\)

e is the base of the natural logarithm (approximately 2.71828)

λ is the average rate

k is the desired number of events

k! is the factorial of k

Plug in the values and calculate the probability:

\(P(X = 5) = (e^{(-4)} \TIMES (4^5)) / 5!\)

\(P(X = 5) = (0.0183 \times 1024) / 120\)

P(X = 5) ≈ 0.1755

So, the probability that the emergency center will receive five calls on a given day is approximately 0.1755 or 17.55%.

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The required equation that defines her sister's age, s, as a function of Claire's age, C is C = s + 5.

Given that,
Claire is 5 years older than her sister.

To determine an equation that defines her sister's age, s, as a function of Claire's age, C.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Let the sister's age be s and Claire's age be C,
Now, accoding to the question.
C = s + 5

Thus, the required equation that defines her sister's age, s, as a function of Claire's age, C is C = s + 5.

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The simplified expression is -22 degrees (rounded to the nearest degree).

What is Trigonometry?

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles, and the functions that describe those relationships. It has applications in fields such as engineering, physics, astronomy, and navigation.

We can use the following trigonometric identity to simplify the expression:

arctan(x) + arctan(y) = arctan[(x+y) / (1-xy)]

In this case, we can substitute x = 5 and y = 6 to get:

arctan 5 + arctan 6 = arctan[(5+6) / (1 - 5*6)]

Simplifying the denominator, we get:

arctan 5 + arctan 6 = arctan(11/-29)

To find the degree measure of this angle, we can use a calculator to evaluate the inverse tangent of -11/29 and convert the result to degrees.

The result is approximately -22 degrees (rounded to the nearest degree).

Therefore, the simplified expression is:

arctan 5 + arctan 6 = -22 degrees (rounded to the nearest degree).

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Answer:

6688877887

Step-by-step explanation:

You would need 30 cups of cheese, 7.5 cups of olives, and 15 cups of ham to make 10 signature pizzas.

To determine the amount of cheese, olives, and ham needed to make 10 signature pizzas, we need to multiply the amounts given in the recipe by the number of pizzas.

1. Cheese:

The recipe calls for 3 cups of cheese per pizza. To find the total amount of cheese needed for 10 pizzas, we multiply the amount per pizza by the number of pizzas:

3 cups/pizza * 10 pizzas = 30 cups of cheese

So, you would need 30 cups of cheese to make 10 signature pizzas.

2. Olives:

The recipe requires 3/4 cup of olives per pizza. To find the total amount of olives needed for 10 pizzas, we multiply the amount per pizza by the number of pizzas:

3/4 cup/pizza * 10 pizzas = 7.5 cups of olives

So, you would need 7.5 cups of olives to make 10 signature pizzas.

3. Ham:

The recipe specifies 1 1/2 cups of ham per pizza. To find the total amount of ham needed for 10 pizzas, we multiply the amount per pizza by the number of pizzas:

1 1/2 cups/pizza * 10 pizzas = 15 cups of ham

So, you would need 15 cups of ham to make 10 signature pizzas.

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Answer:

29.5

Step-by-step explanation:

First, you find the area of a 7 by 5 rectangle.

Then you subtract the two triangles that are the access pieces.

Answer:

2(C)

Step-by-step explanation:

You can use the slope formula to answer this which is y₁ - y₂ divided by x₁ - x₂. Let's say that (x₁, y₁) is (6,6) and the (x₂, y₂) is (1, -4). We can then substitute these values into the formula.

This would become 6- (-4) divided by 6-1.

This can be further simplified as shown:

=6+4 divided by 5

=10/5

=2

Therefore, 2 is the slope of the line

The probability of passing one test or the other is given by:

0.63 = 63%.

In a Venn probability, two non-independent events are related with each other, as are their probabilities.

The "or probability" between these two events is given by the rule presented as follows:

P(A or B) = P(A) + P(B) - P(A and B)

In the context of this problem, these events are given as follows:

The probabilities of each event and the and probability are listed as follows:

P(A) = 0.58, P(B) = 0.24, P(A and B) = 0.19.

Hence the probability of passing one test or the other is calculated as follows:

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 0.58 + 0.24 - 0.19 = 0.63 = 63%.

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Outliers in regression can be identified by looking for data points that are far away from the overall trend of the data. These points are usually evaluated by calculating the distance from the regression line to the point and comparing it to the standard deviation of the model.

Outliers in regression can be identified by looking for data points that are far away from the overall trend of the data. These points will often have a much larger or smaller value than the rest of the data, so they can be easily spotted by eye. However, to make sure that a point is truly an outlier, it is important to calculate the distance from the regression line to the point and compare it to the standard deviation of the model. If the distance is greater than two or three times the standard deviation, then the point is likely an outlier. Outliers can have a significant effect on the outcome of a regression analysis, so it is important to identify and address them appropriately.

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(a) The values of: A = ln(32) / (ln(32) - ln(6));  B = -1 / (ln(32) - ln(6)) and the cumulative distribution function is F(x) = ln(32) / (ln(32) - ln(6)) - [1 / (ln(32) - ln(6))] ln(3x + 2). (b) The probability is 0.102. (c) The probability density function is only defined on the interval [0, 10].

(a) Since F(x) is a cumulative distribution function, we have:

lim x→0 F(x) = 0                            

lim x→10 F(x) = 1                          

Using these limits:

lim x→0 F(x) = A + B ln(3x + 2) = 0

A = -B ln(6)

lim x→10 F(x) = A + B ln(3x + 2) = 1

A + B ln(32) = 1

-B ln(6) + B ln(32) = 1 - A

B = -1 / (ln(32) - ln(6))

A = -B ln(6) = ln(32) / (ln(32) - ln(6))

The cumulative distribution function is:

F(x) = ln(32) / (ln(32) - ln(6)) - [1 / (ln(32) - ln(6))] ln(3x + 2)

(b) The probability that a repair job takes longer than two hours is:

P(X > 2) = 1 - P(X ≤ 2) = 1 - F(2) = 1 - ln(32) / (ln(32) - ln(6)) + [1 / (ln(32) - ln(6))] ln(8)

≈ 0.102

(c) To find the probability density function f(x), we differentiate F(x):

f(x) = d/dx F(x) = [3 / ((3x + 2) ln(2))] / (ln(32) - ln(6))

The function is only defined on the interval [0, 10]. The  graph of f(x) is decreasing on [0, 2] and increasing on [2, 10].

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The alpha level for each hypothesis test made on the same set of data is called B. experimentwise alpha

When numerous suppositions are examined concurrently, the likelihood of committing at least one type I mistake grows.

In order to manage the probability of erroneously rejecting the null hypothesis in all tests, scientists usually modify the alpha level for each test, with the purpose of maintaining an experimentwise alpha that reflects the probability of making a type I error in the entire set of tests.

The Bonferroni procedure is a technique utilized to regulate the experimentwise error rate by adjusting the alpha level for each hypothesis test.

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Answer:

1

Step-by-step explanation:

i don;t know

Answer:

I'll try my best B r u h ....

Step-by-step explanation:

Bowling:

15+5x  where x is the number of people

Skating:

20+3x

We have 50 dollars so the amount must be less than or equal to 50

Bowling

15+5x≤50

Subtract 15 from each side

15-15+5x≤50-15

5x ≤35

Divide each side by 5

5x/5 ≤35/5

x ≤7

She can have 7 or less people

Skating

We have 50 dollars so the amount must be less than or equal to 50

20+3x  ≤50

Subtract 20 from each side

20-20+3x  ≤50-20

3x  ≤30

Divide each side by 3

3x/3 ≤30/3

x ≤10

She can have up to 10 people

She can invite more people skating

Hope this helped.

Answer:

its called a googol

Step-by-step explanation:

You dont need one

The coordinates of the midpoint M of segment JK are (-0. 3). The distance between the endpoints of JK is sqrt(104) or approximately 10.198.

To find the coordinates of the midpoint M of segment JK, we can use the midpoint formula, which states that the x-coordinate of the midpoint is the average of the x-coordinates of the endpoints and the y-coordinate of the midpoint is the average of the y-coordinates of the endpoints. So, for segment JK with endpoints J(3, -6) and K(-3, 2), the x-coordinate of the midpoint is (-3+3)/2 = 0 and the y-coordinate of the midpoint is (-6+2)/2 = -2. Therefore, the coordinates of the midpoint M are (0, -2).

To find the distance between the endpoints of JK, we can use the distance formula, which states that the distance between two points with coordinates (x1, y1) and (x2, y2) is given by the square root of [(x2-x1)^2 + (y2-y1)^2]. So for segment JK with endpoints J(3, -6) and K(-3, 2), the distance is sqrt[(-3-3)^2 + (2-(-6))^2] = sqrt[36 + 64] = sqrt(100) = 10. Therefore, the distance between the endpoints of JK is approximately 10.198.

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Answer:

81.5

Step-by-step explanation:

<G and <H are congruent

<F and <I are congruent

so the last two angles in both triangles must also be congruent

this means that <K and <J are congruent

so we can create this equation: <K = <J

substitute the angles with what we know: 4\(y^{2}\) = 6\(y^{2}\) - 40

add 40 to both sides and subtract 4\(y^{2}\) from both sides: 40 = 2\(y^{2}\)

you get: 20 = \(y^{2}\)

root square on both sides: \(\sqrt{20}\) = \(\sqrt{y^{2} }\)

you get: y ≈ 4.5

substitute this into one of the equations for a missing variable:

6\(y^{2}\) -----> 6 (4.5 x 4.5) - 40

6 ( 20.25) - 40

121.5 - 40

81.5

Answer:

$1272.36 ( average weekly sales for first 3 weeks )

Step-by-step explanation:

weekly online sales = S(t)

Determine average weekly sales for first 3 weeks

S(t) = 2e^t

total sales = ∫ S(t) dt        

∴ Average weekly sales for first 3 weeks  ( note : S(t) = 2e^t  )

=  \(\int\limits^3_0 {2e^t \, dt / ( 3 - 0 )\)            

= 2 [ e^t ] ³₀ / 3 = 2 ( e^3 - e^0 ) / 3 =  2 ( 6.3618 ) = 12.7236 hundreds

= $1272.36 ( average weekly sales for first 3 weeks )

Answer:

\( slope (m) = \frac{1 - (-5)}{2 - (-1)} \)

\( = \frac{1 + 5}{2 + 1} \)

\( = \frac{6}{3} = 2 \)

Step-by-step explanation:

Find the slope (m) using the two points given, (-1, -5) and (2, 1):

\( slope (m) = \frac{rise}{run} = \frac{y_2 - y_1}{x_2 - x_1} \)

Let,

\( (-1, -5) = (x_1, y_1) \)

\( (2, 1) = (x_2, y_2) \)

Plug in the values into the equation:

\( slope (m) = \frac{1 - (-5)}{2 - (-1)} \)

\( = \frac{1 + 5}{2 + 1} \)

\( = \frac{6}{3} = 2 \)

Answer:

x is 54

Step-by-step explanation:

90-36=54

The simplest way to perform a division is long division and synthetic division.

What is division?

Division in mathematics is the process of dividing an amount into equal parts. For instance, we may split a group of 20 people into four groups of 5, five groups of 4, and so on.

There are two methods to perform division:

Long division: The mathematical procedure for splitting big numbers into more manageable groups or sections is known as long division. A difficulty can be solved by breaking it down into manageable parts. Dividends, divisors, quotients, and remainders all exist in long divisions.

Synthetic division: In algebra, synthetic division is a technique for manually dividing polynomials according to Euclid, requiring less writing and calculation than long division. Although the approach can be applied to division by any polynomial, it is often taught for division by linear monic polynomials.

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Answer:

1290

Step-by-step explanation:

15 x 86 = 1290

Answer:

64

Step-by-step explanation:

lmk if you need explanation :)

Answer:

64

Step-by-step explanation:

(16+2)(3)-5(-5+3)
= (18)(3) - 5(-2)
= 54 + 10
= 64

Hope it helps!
Brainliest?

Answer:

5.625 which is 5 5/8.

Step-by-step explanation:

Answer: 15 and 3 can both be divided by 3 and 1

Answer:

tres y uno

Step-by-step explanation:

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Answer:

C

Step-by-step explanation:

Area of circle = \(\pi r^2\)

15/2 = 7.5

7.5 = radius

Plug 7.5 into the formula:

\(\pi 7.5^2\) = 176.71

Closest answer to 176.71 = 176.625

Answer would be C.