9/18 = 9?
(simplify)

Answer:

Step-by-step explanation:

The time interval of interest is 6 hours

There is an average of 18 trains per 24 hours or 18/(24/6)=49/12 trains per 6 hours.

The probability can be found using the Poisson distribution with parameter

λ=49/12

Answer:

The total number of customers for the two days is 16x + 8

Step-by-step explanation:

Number of customers on Monday = 10x - 8

Number of customers on Tuesday = 6x + 16

Total numbers of customers for the two days = 10x - 8 + 6x + 16

Total numbers of customers for the two days = 16x + 8

The interquartile range of the number of jumps of the 10 students during the competition is 38.

The interquartile range is the difference between the third quartile and the first quartile. The interquartile range is used to determine the variation of a data set.

Th first step is to determine the median of the first half of the dataset. The median of the first half is the first quartile.

First half of the data set: 30, 36, 38, 45, 57

Median = first quartile =  38

The next step is to determine the median of the second half of the dataset. The median of the second half is the third quartile.

Second half of the data set: 60, 77, 86, 88, 88

Median : third quartile =  86

Interquartile range = third quartile - first quartile

86 - 38 = 48

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Since x²+y²+z²=0, we must have x=y=z=0, which satisfies the first three equations as well. However, this point does not satisfy the condition x+y+z=1, so it cannot be an extreme point. Therefore, there are no extreme points for the given function subject to the given conditions.

To find the extreme points of the function f(x,y,z)=xyz subject to the two conditions x+y+z=1 and x²+y²+z²=0, we need to use the method of Lagrange multipliers. Let λ be the Lagrange multiplier, then we have the following system of equations:

y*z = λ + 2λ*x
x*z = λ + 2λ*y
x*y = λ + 2λ*z
x + y + z = 1
x² + y² + z² = 0

We can solve this system by eliminating λ and getting the following equations:

x(y²+z²) = -2xyz
y(x²+z²) = -2xyz
z(x²+y²) = -2xyz
x + y + z = 1
x² + y² + z² = 0

Since x²+y²+z²=0, we must have x=y=z=0, which satisfies the first three equations as well. However, this point does not satisfy the condition x+y+z=1, so it cannot be an extreme point. Therefore, there are no extreme points for the given function subject to the given conditions.

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Complete Question:

Find the extreme points of\(f: R^{3} \rightarrow R\)

f (x, y, z) = xyz

subject to the two conditions

\(\begin {aligned}x+y+z & = 1 \\x^{2} +y^{2} +z^{2} & = 0\\\end {aligned}\)

The probability that a person has a positive rh factor given that he/she has type O blood is approximately 82.2 %

For two events A and B:

The chain rule states that the probability that A and B both occur is given by:

\(P(A \cap B) = P(A)P(B|A) = P(B)P( A|B)\)

Suppose two dimensions are there, viz X and Y. Some values of X are there as \(X_1, X_2, ... , X_n\) and some values of Y are there as \(Y_1, Y_2, ... , Y_n\)

List them in title of the rows and left to the columns. There will be n \times k table of values will be formed(excluding titles and totals), such that:

Value(ith row, jth column) = Frequency for intersection of  \(X_i\) and \(Y_j\) (assuming X values are going in rows, and Y values are listed in columns).

Then totals for rows, columns, and whole table are written on bottom and right margin of the final table.

For n = 2, and k = 2, the table would look like:

\(\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&n(X_1 \cap Y_1)&n(X_1\cap Y_2)&n(X_1)\\X_2&n(X_2 \cap Y_1)&n(X_2 \cap Y_2)&n(X_2)\\\rm Total & n(Y_1) & n(Y_2) & S \end{array}\)

where S denotes total of totals, also called total frequency.

n is showing the frequency of the bracketed quantity, and intersection sign in between is showing occurrence of both the categories together.

The missing two-way table for this problem is given below:

\(\begin{array}{cccccc}&A&B&AB&O&\rm Total\\\text{Negative}&0.07&0.02&0.01&0.08&0.18\\\text{Positive}{&0.33&0.09&0.03&0.37&0.82\\\rm Total & 0.40&0.11&0.04&0.45&1 \end{array}\)

Instead of frequencies, it contains ratio of frequency to total count of people surveyed (thus, relative frequency).

We want the probability that a person has a positive rh factor given that he/she has type O blood.

If we take:

E = event that a random person chosen has a positive rh factor

and F = event that a random person chosen has type O blood

Then, the needed probability is written symbolically as:

P(E|F).

Using the considered two-way table and the chain rule, we get this probability as:

\(P(E|F) = \dfrac{P(E \cap F)}{P(F)} = \dfrac{n(E \cap F)/ n(Total)}{n(F)/n(Total)}\)

Since the two way table consists relative frequency with total count, so, we get:

\(n(E \cap F)/n(Total) = 0.37\\n(F)/n(Total) = 0.45\)

\(P(E|F) = \dfrac{n(E \cap F)/ n(Total)}{n(F)/n(Total)} = \dfrac{0.37}{0.45} \approx 0.822 = 82.2\%\)

Thus, the probability that a person has a positive rh factor given that he/she has type O blood is approximately 82.2 %

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Answer:

The answers will be

The probability that a person has a positive Rh factor given that he/she has type O blood is 82 percent.There is a greater probability for a person to have a positive Rh factor given type A blood than a person to have a positive Rh factor given type O blood.

Step-by-step explanation:

Hope this help!

JJonathan spends $14.55 on muffins and cupcakes

Jonathan buys 3 muffins and 4 cupcakes, so we can calculate how much he spends on muffins by multiplying the price of one muffin by the number of muffins he buys:

1.85 * 3 = $5.55

And we can calculate how much he spends on cupcakes by multiplying the price of one cupcake by the number of cupcakes he buys:

2.25 * 4 = $9

To find the total amount of money Jonathan spends, we add the cost of the muffins to the cost of the cupcakes: 5.55 + 9 = $14.55

So, Jonathan spends $14.55 in total.

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Answer: d. $264 hope this helps :)

Step-by-step explanation:12x22=264

Answer:

26:26

Step-by-step explanation:

I hope I've helped :)

Answer: the abacus.

Step-by-step explanation:

the Romans used the abacus which is a wooden thing with wooden bars and some beads on each bar.

they also used the digits on their hands sometimes.

The degrees of freedom for the regression sum of squares in a regression model is determined by the number of variables that are being used to make predictions. For example, if you have three independent variables in your model, the degrees of freedom for the regression sum of squares would be 3.

The degrees of freedom for the error sum of squares is the total number of observations in your dataset, minus the number of independent variables used in the model.

The total sum of squares is the sum of the squared differences between each observation and the overall mean of the variable being predicted. This has the same number of degree of freedom as the error sum of squares, which is total number of observations -1.

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Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

copy the above onto your computer for future reference

sin(g) = 420/427

tan(z) = 77/420

cos(z) = 420/427

sin(m) = 427/427

part (E)   the sin of any right angle will be  1   :)

Answer:

Solution given:

Sin G=opposite/hypotenuse=420/427

TanZ=Opposite/adjacent=77/420

CosZ=adjacent/hypotenuse=420/427

Sin M=opposite/hypotenuse=427/427=1

Check the picture below.

\(\cfrac{2^3}{6^3}=\cfrac{\stackrel{ g }{2}}{V}\implies \cfrac{8}{216}=\cfrac{2}{V}\implies \cfrac{1}{27}=\cfrac{2}{V}\implies V=54~g\)

Answer:

b. y1 = –x2 + 10

d. y2 = log (x + 1)

Step-by-step explanation:

edge 2023

Answer:

b,d and d for the second question

Step-by-step explanation:

Answer:D

(Sorry if I’m wrong)

Answer:

Hello

2a=6

Step-by-step explanation:

Because 3×2 =6

Answer:

since a = 3

2a = 2 * a

= 2*3

=6

Brei owes her mom $19.80 for the phone call.

To calculate how much Brei owes her mom for the phone call, let's break down the call into two time periods: before 8:00 a.m. and after 8:00 a.m.

Before 8:00 a.m.:

The call started at 7:00 a.m. and ended at 8:00 a.m., making it a duration of 1 hour (60 minutes).

The cost for the first minute is $0.35, and for the subsequent minutes, it's $0.20 per minute. So for the remaining 59 minutes, the cost is:

59 minutes * $0.20/minute = $11.80

The total cost for the call before 8:00 a.m. is:

$0.35 (first minute) + $11.80 (remaining minutes) = $12.15

After 8:00 a.m.:

The call continued from 8:00 a.m. to 8:30 a.m., which is a duration of 30 minutes.

The cost for the first minute is $0.40, and for the subsequent minutes, it's $0.25 per minute. So for the remaining 29 minutes, the cost is:

29 minutes * $0.25/minute = $7.25

The total cost for the call after 8:00 a.m. is:

$0.40 (first minute) + $7.25 (remaining minutes) = $7.65

To find the total cost for the entire call, we sum up the costs from both time periods:

$12.15 (before 8:00 a.m.) + $7.65 (after 8:00 a.m.) = $19.80

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When analyzing data, one important tool is a two-way table. It displays data in a way that allows for comparisons between two different variables. In this case, we have a two-way table for a class of students, showing the number of males and females in each grade level.

To find the probability of selecting a junior given that the student is male, we need to use conditional probability. We know that we are only considering the males, which is a total of 34 students. Of those 34, 12 are juniors. So, the probability of selecting a junior given that the student is male is 12/34, which simplifies to 0.35 or 35% rounded to the nearest whole percent.

In summary, a two-way table is a useful tool for analyzing data and making comparisons. By using conditional probability, we can find the probability of selecting a certain group within a larger sample. In this case, we found the probability of selecting a junior given that the student is male in the given class of students.

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Answer: 3.3 × 10⁹

Concept:

When multiplying exponents, add the exponents together.

When dividing exponents, subtract the exponents.

Solve:

Given expression

(3 × 10⁴) × (1.1 × 10⁵)

Put like terms together

=3 × 1.1 × 10⁴ × 10⁵

Combine like terms

=3.3 × 10⁴⁺⁵

=\(\boxed{3.3*10^9}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

3.3×10^9

Step-by-step explanation:

Using the Bayes' theorem, we find the probability that the transferred ball was white given that the second ball drawn was white to be 52/89, or approximately 0.5843.

To solve this problem, we can use Bayes' theorem, which relates the conditional probability of an event A given an event B to the conditional probability of event B given event A:

P(A|B) = P(B|A) * P(A) / P(B)

where P(A|B) is the probability of event A given that event B has occurred, P(B|A) is the probability of event B given that event A has occurred, P(A) is the prior probability of event A, and P(B) is the prior probability of event B.

In this problem, we want to find the probability that the transferred ball was white (event A) given that the second ball drawn was white (event B). We can calculate this probability as follows:

P(A|B) = P(B|A) * P(A) / P(B)

P(B|A) is the probability of drawing a white ball from urn b given that the transferred ball was white and is now in urn b. Since there are now six white balls and three black balls in urn b, the probability of drawing a white ball is 6/9 = 2/3.

P(A) is the prior probability of the transferred ball being white, which is the number of white balls in urn a divided by the total number of balls in urn a, or 6/13.

P(B) is the prior probability of drawing a white ball from urn b, which can be calculated using the law of total probability:

P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)

where P(B|not A) is the probability of drawing a white ball from urn b given that the transferred ball was black and P(not A) is the probability that the transferred ball was black, which is 7/13.

To calculate P(B|not A), we need to first calculate the probability of the transferred ball being black and then the probability of drawing a white ball from urn b given that the transferred ball was black.

The probability of the transferred ball being black is 7/13. Once the transferred ball is moved to urn b, there are now five white balls and four black balls in urn b, so the probability of drawing a white ball from urn b given that the transferred ball was black is 5/9.

Therefore, we can calculate P(B) as follows:

P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)

= (2/3) * (6/13) + (5/9) * (7/13)

= 89/117

Now we can plug in all the values into Bayes' theorem to find P(A|B):

P(A|B) = P(B|A) * P(A) / P(B)

= (2/3) * (6/13) / (89/117)

= 52/89

Therefore, the probability that the transferred ball was white given that the second ball drawn was white is 52/89, or approximately 0.5843.

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Answer:

angle c is 95. 95+55+30 is 180

Step-by-step explanation:

the triangle sum theorem says that the interior of a triangle is 180 degrees

Answer:

90 degrees

Step-by-step explanation:

<C + 30 degrees + 55 degrees = 180

<C = 95 degrees

Answer:

k = 6

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Here g(x) is the graph of f(x) shifted 6 units to the left

Then

g(x) = f(x + 6) → with k = 6

Answer:

13(10) - 5 (6)

130 - 30

= 100

Step-by-step explanation:

You replace the x with 10, and the y with 60 and answer normally

13(30) = 130

5(6) = 30

130 - 30 = 100

The sphere equation x^2 + y^2 + z^2 = 6z becomes:
ρ^2 = 6ρcos(φ)
The cone equation z = √(x^2 + y^2) becomes:
ρcos(φ) = ρsin(φ)
So, the solid lies within the region described by the inequalities:
ρ ≤ 6cos(φ) and ρcos(φ) ≥ ρsin(φ)
These inequalities, along with 0 ≤ θ ≤ 2π and 0 ≤ φ ≤ π, define the solid in spherical coordinates.

To describe the solid in terms of inequalities involving spherical coordinates, we first need to convert the given equations to spherical coordinates. In spherical coordinates, we have:

x = r sinθ cosϕ
y = r sinθ sinϕ
z = r cosθ

Substituting these values in the given equations, we get:

r² sin²θ cos²ϕ + r² sin²θ sin²ϕ + r² cos²θ = 6r cosθ
r cosθ = r² sin²θ cos²ϕ + r² sin²θ sin²ϕ

Simplifying these equations, we get:

r = 6 cosθ / (sin²θ cos²ϕ + sin²θ sin²ϕ + cos²θ)^(1/2)
r cosθ = r² sin²θ

Now, the solid lies inside the sphere x2 + y2 + z2 = 6z, which in spherical coordinates becomes:

r² = 6 cosθ

And the solid also lies outside the cone z = x2 y2, which in spherical coordinates becomes:

r cosθ >= r^4 sin^2(θ) cos^2(ϕ) + r^4 sin^2(θ) sin^2(ϕ)
r >= r^3 sin^2(θ) (cos^2(ϕ) + sin^2(ϕ))
r >= r^3 sin^2(θ)

Combining these inequalities, we get the description of the solid in terms of inequalities involving spherical coordinates:

r >= r^3 sin^2(θ) >= (6 cosθ)^(1/2)

This represents the solid that lies inside the sphere x2 + y2 + z2 = 6z and outside the cone z = x2 y2, in terms of inequalities involving spherical coordinates.

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Total mortgage brokerage fees is $1,596.75. Thus, option c is correct.

These factors include the total amount you're borrowing from a bank, the interest rate for the loan, and the amount of time you have to pay back your mortgage in full. For your mortgage calc, you'll use the following equation: M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1].

Calculate H = P*J, this is your current monthly interest.

Calculate C = M - H, this is your monthly payment minus your monthly interest, so it is the amount of principal you pay for the month.

Calculate Q = P - C, this is the new balance of your principal of your loan.

P = the payment.

L = the loan value.

c = the period interest rate, which consits of dividing the APR as a decimal by the frequency of payments. ...

n = the total number of payments in the life of the loan (for monthly loan payments this is the loan term in years times twelve)

With given data:

123,500 x 1.05% =$1,296.75 percentage of the fee.

Total mortgage brokerage fees

$1,296.75 + $300 =$1,596.75

Thus, Total mortgage brokerage fees is $1,596.75. Thus, option c is correct.

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Answer:

1.26 m^3

Step-by-step explanation:

0.25*0.36*0.14=1.26

percentage = 32%

From the question, we have

percentage  = ((2*f(.9))-1)/2

=((2*.816)-1)/2

=0.632/2

= 31.6%

= 32% (approx )

Percentage:

Use the percentage formula to express a number or percentage in terms of 100. % simply indicates one out of one hundred. An expression for a number between 0 and 1 can be made using the percentage formula. It is a number that is represented as a fraction of 100. The sign % is used to denote it and it is mostly used to compare and calculate ratios. The formula for percentage increases is the ratio of the increased value to the original value multiplied by 100. It is described in percentage form. If anything is valued more highly, both its value and proportion will rise.

Complete question:

The percentage of area under the normal curve between the mean and -0.9 standard deviations from the mean is ____%. Round to the nearest integer as needed.

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Answer:

400

Step-by-step explanation: