Somebody plz help the quickest you can this is urgent

The probability of P(Boy/Senior) is 2/37.

Given that, the total number of students=37 and the number of senior boys=2.

P(A|B)=P(A ∩ B)/P(B).

We need to find P(Boy/Senior).

P(A ∩ B) indicates the probability of A and B, or, the probability of A intersection B means the likelihood of two events simultaneously, i.e. the probability of happening two events at the same time.

Now, P(Boy/Senior)=2/37.

Therefore, the probability of P(Boy/Senior) is 2/37.

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Answer:

2/7

Step-by-step explanation:

2 seniors / 7 seniors in total

The measure of each arc is 30.

The arc of a circle is defined as the part or segment of the circumference of a circle.

Given that, a circle, Chords NO and PQ are congruent. Arc NO measures 4x + 10 and Arc PQ measures 2x + 20.

We know that,

Chord Arcs Theorem :-

If two chords in a circle are congruent, then their intercepted arcs are congruent.

2x+20 = 4x+10

2x = 10

x = 5

Therefore,

2(5) + 20 = 30

Hence, the measure of each arc is 30.

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Answer:

5/9

Step-by-step explanation:

we add all of the values and divide by the total number in this case 9, all of them add to make 5 so we do 5÷9 to get 5/9

Answer:6

Step-by-step explanation:

Answer:

45 x (1/3) = 15

Step-by-step explanation:

Note that when you divide with a fraction, you will change the division into multiplication, and flip the second term. In this case:

15/(1/3) = 15 * 3 = 45

In the answer's case, when you multiply a fraction, you are really multiplying the term with the numerator, and then dividing the denominator:

(45 x 1)/3 = 45/3 = 15

~

In the novel "Brave New World," when Lenina states, "Never put off until tomorrow the fun you can have today," Bernard replies, "Two hundred repetitions, twice a week from fourteen to sixteen and a half"

This comment means that he is promoting individuality. Bernard is the most noticeable of all the characters who consider the worth of individuality. He is small and awkward, and he is unhappy with the system's blind devotion to conformity and pleasure.

His rejection of this way of life is most visible in his reluctance to indulge in promiscuous sex and drugs, which are fundamental components of the citizens' happy lives.A major theme in Brave New World is the rejection of individuality in exchange for happiness.

The residents of the World State are only concerned with their personal comfort and pleasure, which they gain through mind-numbing activities like sex and drugs.

Bernard, on the other hand, rejects these activities and prefers solitude and his own thoughts. He thinks that individuality is essential, and he refuses to give in to the conditioning that the other citizens accept.

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-2x^2 - 5x - 7 - (5x^2 - 2x - 5) -- Set up the equation and distribute the negative

-2x^2 - 5x - 7 - 5x^2 + 2x + 5 -- Combine like terms

-7x^2 - 3x - 2 -- Answer!

Hope this helps!! :)

The solution to the given initial value problem is e^y = e^y + x^2 - 1. The given initial value problem is to be solved. Here, e^yy' = e^y + 4x, and

y(1) = 7.

Multiplying the equation by dx, we gete^y dy = e^y dx + 4xdx.To separate the variables, we can now bring all the terms with y on one side, and all the terms with x on the other. Thus, e^y dy - e^y dx = 4x dx. Integrating the equation. We now need to integrate both sides of the above equation. On integrating both sides, we obtain e^y = e^y + x^2 + C, where C is the constant of integration.

To solve the given initial value problem, we can start by using the separation of variables method. Multiplying the equation by dx, we get e^y dy = e^y dx + 4x dx. To separate the variables, we can now bring all the terms with y on one side, and all the terms with x on the other. Thus ,e^y dy - e^y dx = 4x dx. On the left-hand side, we can use the formula for the derivative of a product to get d(e^y)/dx = e^y dy/dx + e^y On integrating both sides, To solve for C, we can use the given initial condition y(1) = 7.

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(a) correctly describes the relationship between a parameter and a statistic.

The correct description is:

a) A statistic is calculated from sample data and is generally used to estimate a parameter.

In statistics, a parameter refers to a characteristic or measure that describes a population, while a statistic is a characteristic or measure calculated from sample data. Statistics are often used to estimate or infer the corresponding parameters of the population. Therefore, option (a) correctly describes the relationship between a parameter and a statistic.

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Answer:

Step-by-step explanation:

Exactly what was your answer for a

The cost of each water bottle is $1.5.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Amanda has $30.00. After buying 15 water bottles, she had $7.50 left.

Money used to buy water bottles = 30-7.50

= $22.5

Cost of each water bottle = 22.5/15

= $1.5

Therefore, the cost of each water bottle is $1.5.

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Journal Entry for the purchase of office equipment:

The purchase of equipment results in a debit to the asset section of the balance sheet. The credit is based on what form of payment you use as the customer.

Data:

Remaining amount on the note:

= Total cost - Cash paid

= $15,000 - $4,000

= $11,000

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Answer:

3.8

Step-by-step explanation:

1. Use sine rule

d/sin(D) = f/sin(F) (d=EF, f=DE=3)

2. cross multiply

d=f(sin(D)/sin(F)) = 3(sin(75)/sin(50))=3.783

Answer:

  (b)  3.8

Step-by-step explanation:

Often, simple relations will help you solve geometry problems. Here, you only need to know that larger angles are opposite longer sides.

__

The angle opposite side EF is angle D, which is 75°. That angle is larger than angle F, which is opposite the side marked as having length 3.

This means EF > 3.

There is only one answer choice greater than 3. Choice B is 3.8.

  EF ≈ 3.8

______

The only "work" is remembering that larger angles are opposite longer sides.

Answer: y = -3/5x - 6

Step-by-step explanation:

There are a few equations that can be used for this, but the simplest one would be y = mx + b

We are given:

y = -3

m = -3/5 (slope)

x = -5

b = ?

Our equation is this, we are solving for b

==> -3 = -3/5 ( -5) + b

==> -3 = -3/5 ( -5) + b ( multiply the brackets)

==> -3 = 3 + b ( subtract 3 to both sides)

==> -6 = b

Now we can make the desired equation in slope intercept form;

y = -3/5x - 6

Hope this helped! Have a great day :D

The amount of juice the cup can hold given that the cup has diameter of 8 centimeters and a height of 12 centimeters is 602.88 cm³

To know the amount of juice the cup can hold, we shall obtain the volume of the cup.

We shall use the formula for obtaining volume of cylinder to obtain the volume of the cup. Details below:

Volume = πr²h

Volume = 3.14 × 4² × 12

Volume = 3.14 × 16 × 12

Volume = 602.88 cm³

Thus, we can conclude from the above calculation that the amount of juice the cup can hold is 602.88 cm³

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To find the optimal consumption bundle, we need to maximize utility given the budget constraint. The summary of the answer is as follows: With a utility function of U = 4X + XY and a budget of $600, the optimal consumption bundle is (X = 20, Y = 10).

To explain the solution, we start by considering the budget constraint. The total expenditure on goods X and Y cannot exceed the available budget. Given that the price of X is $10 and the price of Y is $30, we can set up the equation as follows: 10X + 30Y ≤ 600.

Next, we maximize utility by considering the marginal utility of each good. Since MUx = 4 + Y, we equate it to the price ratio of the goods, MUx / Px = MUy / Py. This gives us (4 + Y) / 10 = 1 / 3, as the price ratio is 1/3 (10/30).

Solving the equation, we find Y = 10. Substituting this value into the budget constraint, we get 10X + 30(10) = 600, which simplifies to 10X + 300 = 600. Solving for X, we find X = 20.

Therefore, the optimal consumption bundle is X = 20 and Y = 10, meaning you should consume 20 units of good X and 10 units of good Y to maximize utility within the given budget.

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The correct confidence interval for the mean lifetime of this type of battery is (114.56, 125.64).

Explanation:
We know that the sample size n is 50, the sample mean x is 120.1, and the population standard deviation is 20. We want to construct a 99% confidence interval for the mean lifetime of this type of battery.

The formula for the confidence interval is:

x ± z*(σ/√n)

where x is the sample mean,  is the population standard deviation, n is the sample size, and z is the z-score that corresponds to the desired confidence level.
   
For a 99% confidence interval, the z-score is 2.576 (using a z-score table or calculator).    
   
Plugging in the values, we get:

120.1 ± 2.576*(20/√50)

= (114.56, 125.64)

Therefore, the confidence interval for the mean lifetime of this type of battery is (114.56, 125.64) with 99% confidence.
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Answer:

transversal line is line A. parallel lines are B and C. corresponding to angle A is angle D. and alternate angle to E is G.

Answer:

16.50+91.25=91.25

91.25×40=3650

11.75-37.00=-25.25

Total cost, T of the catering service, which serves n people = T = 16.50n + 74.75 and T = 11.75n + 37.00

Given,

Charges per person = 16.50

Service charges = 74.75

Let n be the number of the people,

Let T be the total cost

Now, according to the given question,

T = 16.50n + 74.75

If n>=40

T = 11.75n + 37.00

So, we have 2 equations which define the total cost -

T = 16.50n + 74.75,

T = 11.75n + 37.00

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Answer:

Step-by-step explanation:

Quadrilaterals are four sided shapes. A parallelogram is a quadrilateral with equal and parallel opposite sides. The sum of the interior angles of any quadrilateral is always 360 degrees

Considering the question being asked, the correct option is

1) The sum of the interior angles will still be 360°. This will always remain the same no matter what type of quadrilateral is formed.

For the other options, some will remain the same and this depends on the type of quadrilateral that is formed.

Answer:

Its 1 and 3

Step-by-step explanation:

The scale factor used in the dilation is 1/3

From the question, we have the following parameters that can be used in our computation:

The scale factor is calculated as

Scale factor  = A'/A

Substitute the known values in the above equation, so, we have the following representation

Scale factor  = (-1, -1)'/(-3, -3)

Evaluate

Scale factor  = 1/3

Hence, the scale factor  = 1/3

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Step-by-step explanation:

Equation 1: \(3x^{2} +7x-6\)

Step 1: Write a quadratic equation in standard form choosing your own coefficients and constant.

Conditons that need to be satisfied: B can be 0 in only one question, parabola should open up and have a negative y intercept.

1. The parabola should open upwards: a> 0

2. \(3x^2+7x-6\) (a>0), y-int is negative (0s for x's)

                     3(0)^2 + 7(0) -6

                                   y= -6

Step 2:

1. Factor the original equation: (3x-2)(x+3)

x=2/3, -3

2. Strategy used (factor by grouping)

Equation 2: -\(x^{2}\) + 3x - 6

Equation 2 should represent a parabola that opens down and has a negative y-intercept.

Parabola that opens down = a<0

Ax^2 + Bx + C

-\(x^{2}\) + 3x - 6

Negative y-intercept: -(0)^2 +3(0) -6 = y= -6

Strategy to solve: Quadratic formula

Why? - This equation doesn't factor cleanly.

Show your work:

a= -1 b= 3 c= -6

Write the quadratic formula down (\(x= \frac{-b + \sqrt{b^{2} - 4ac } }{2a}\)) ± not just +

Show step, solve.

x​= 1.5 + 1.9365i

Equation 3:

Sorry, I can't do this.

Equation 4 :\(x^{2} -1\)

You decide.

Alright, easy parabola.

1. Does parabola open up or down. UP

2. Is there a vertical stretch or compression? NO

3. What is the y-intercept- (0,-1)

\(x^{2} -1\)

Strategy: Simple factoring patterns (Difference of squares) -

(x+1)(x-1)

x = + 1

Show work: x^2 is square of x,

Equation 5: \(x^{2} -3x+15\)

x^2−3x+15

a=1 b= -3 c=15

(\(x= \frac{-b + \sqrt{b^{2} - 4ac } }{2a}\)) ± not just +

Good luck! Sorry that I couldn't do equation 3, vertical stretches are not my thing.

Answer:

f=1/18x+1/4 x=-9/2+18f

The volume of the cone is 1/3.

If a prism and a cone have the same base area and the same height, we can use the formula for the volume of each shape to find the volume of the cone.

The volume of a prism is given by V_prism = base area × height. Since the volume of the prism is given as 1, we can write:

1 = base area × height

The volume of a cone is given by V_cone = (1/3) × base area × height. Since the base area and the height are the same as the prism, we can substitute them into the formula:

V_cone = (1/3) × base area × height = (1/3) × 1 = 1/3

Therefore, the volume of the cone is 1/3.

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Answer:

- \(\frac{2}{7}\)

Step-by-step explanation:

Answer:

Slope: -2/7

Step-by-step explanation:

Points: (-4, -2) & (3, -4)

Slope formula: second y - first y / second x - first x

-4 - (-2) = -2

3 - (-4) = 7

-2/7

Slope is -2/7

make sure to put the negative sign because that is important

Answer:

Step-by-step explanation:

The vertex form of an equation of the parabola:  

                                                        f(x) = a(x - h)² + k

the vertex is (3, -7)  ⇒   h = 3,  k = -7

so:

     f(x) = a(x - 3)² - 7

The parabola goes through the point (2, -6) ⇒   x=2,  f(x)=-6

-6 = a(2 - 3)²  - 7

-6 = a(-1)²  - 7

+7           +7

1  = a

It means the equation of the parabola in vertex form:

                               f(x) = (x - 3)² - 7

Answer:

1. D

2. A

3. F

4. B

5. C

6. E

Step-by-step explanation:

This really should be in some other subject area, not mathematics

Anyways, here goes:

1. D

2. A

3. F

4. B

5. C

6. E

9514 1404 393

Answer:

Step-by-step explanation:

For finding side lengths, it is convenient to work with the differences of the coordinates.

  DE = E(-1, -3) -D(8, -6) = (-9, 3)

  EF = F(-2, 5) -E(-1, -3) = (-1, 8)

  FD = D(8, -6) -F(-2, 5) = (10, -11)

Then the lengths are ...

  DE = √((-9)² +3²) = √90 = 3√10 ≈ 9.49

  EF = √((-1)² +8²) = √65 ≈ 8.06

  FD = √(10² +(-11)²) = √221 ≈ 14.87

The lengths are all different and the largest angle is obviously more than 90°, so the triangle is an obtuse scalene triangle.