A cookie mixture requires 3 teaspoons of sugar for every 4 teaspoons of salt. You want to triple the mixture. Which of these describes the ratio of teaspoons of sugar to salt you will use? A 5:6 B 9:12 C 3:8 D 3:2

The angle which corresponds the ∠8 is ∠4 as ∠8 and ∠4 are parallel to each other.

What are parallel lines ?

parallel lines can be defined as the lines which are equi distant from each other and these lines never interest to each other.

Given ,

from the figure

the parallel lines are l and m.

the angles ∠1,∠2,∠3,∠4,∠5,∠6,∠7,∠8.

∠1,∠2,∠3,∠4. are in one plane

and ∠5,∠6,∠7,∠8. are in another plane.

so the angle which corresponds the ∠8 is ∠4 as ∠8 and ∠4 are parallel to each other.

Hence ,  the angle which corresponds the ∠8 is ∠4 as ∠8 and ∠4 are parallel to each other.

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Answer:

32

Step-by-step explanation:

Let, the age of father and mother be x and y respectively. then,

According to question,

x + y = 76.........(i)

x= y + 12...............(ii)

Now,

x + y = 76

or, ( y + 12) + y = 76

or, y + 12 + y = 76

or, 2y = 76 – 12

or, 2y = 64

or, y = 64/2

.

. . y = 32

hope it will help you.

Answer:

BA ≅ DA

Step-by-step explanation:

∠BAC = ∠DAC                           Given  

AC = AC                                     Reflexive

At this point you have a side and an angle

if BA ≅DA   then SAS

Answer:

Explanation:

Plato

The probability that an arriving student will find at least one other student waiting in line is approximately 0.167.

To solve this problem, we'll use the M/M/1 queueing model with Poisson arrivals and exponential service times. Let's calculate the required values: (a) Percentage of time Judy is idle: The utilization of the system (ρ) is the ratio of the average service time to the average interarrival time. In this case, the average service time is 10 minutes, and the average interarrival time is 12 minutes. Utilization (ρ) = Average service time / Average interarrival time = 10 / 12 = 5/6 ≈ 0.8333

The percentage of time Judy is idle is given by (1 - ρ) multiplied by 100: Idle percentage = (1 - 0.8333) * 100 ≈ 16.67%. Therefore, Judy is idle approximately 16.67% of the time. (b) Average waiting time for a student:

The average waiting time in a queue (Wq) can be calculated using Little's Law: Wq = Lq / λ, where Lq is the average number of customers in the queue and λ is the arrival rate. In this case, λ (arrival rate) = 1 customer per 12 minutes, and Lq can be calculated using the queuing formula: Lq = ρ^2 / (1 - ρ). Plugging in the values: Lq = (5/6)^2 / (1 - 5/6) = 25/6 ≈ 4.17 customers Wq = Lq / λ = 4.17 / (1/12) = 50 minutes. Therefore, on average, a student spends approximately 50 minutes waiting in line.

(c) Average length of the line: The average number of customers in the system (L) can be calculated using Little's Law: L = λ * W, where W is the average time a customer spends in the system. In this case, λ (arrival rate) = 1 customer per 12 minutes, and W can be calculated as W = Wq + 1/μ, where μ is the service rate (1/10 customers per minute). Plugging in the values: W = 50 + 1/ (1/10) = 50 + 10 = 60 minutes. L = λ * W = (1/12) * 60 = 5 customers. Therefore, on average, the line consists of approximately 5 customers.

(d) Probability of finding at least one student waiting in line: The probability that an arriving student finds at least one other student waiting in line is equal to the probability that the system is not empty. The probability that the system is not empty (P0) can be calculated using the formula: P0 = 1 - ρ, where ρ is the utilization. Plugging in the values:

P0 = 1 - 0.8333 ≈ 0.1667. Therefore, the probability that an arriving student will find at least one other student waiting in line is approximately 0.167.

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Option a is correct. we are given that Jones invests only a part of his wealth into a risky asset that has a positive return of 10% with probability π and has a negative return of −4% with probability 1−π.

The risk-free rate is 1%. Jones' utility function is u=ln(w), where w is his wealth.

Let us solve the problem: Let x be the fraction of Jones’ wealth that he invests in the risky asset. Thus, (1 - x) is the fraction he invests in the risk-free asset.:

\(U = x * ln(1 + 10%) + (1 - x) * ln(1 + 1%) = x * ln(1.1) + (1 - x) * ln(1.01)\)

Let EV be the expected value of his investment. Thus, we have:
\(E(V) = x * 10% + (1 - x) * 1% = 9% * x + 1%\)

Let us assume that Jones invests enough of his wealth in the risky asset so as to make it the optimal portfolio. This means that the expected utility from the investment in the risky asset equals the expected utility from the risk-free asset. Mathematically,
\(x * ln(1.1) + (1 - x) * ln(1.01) = ln(w)\)

On solving this equation, we get x =\((ln(w) - ln(1.01)) / (ln(1.1) - ln(1.01)) = ln(w) - ln(1.01) / ln(1.1) - ln(1.01)\)
Let us assume that Jones invests at least part of his wealth in the risky asset. Thus,\(0 ≤ x ≤ 1\). This means that \(0 ≤ π ≤ 1\).

The correct option is a.\(0.2857 ≤ π ≤ 0.358\).

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The 100% of tickets are 320 tickets (this is Haley's goal), she made 112 tickets. To determine what percentage of 320 does 112 represent you can use cross multiplication:

320 ____ 100%

112 _____ x%

Both relations are at the same ratio so that

112 tickets represent 35% of 320, which means that she made 35% of the admission tickets so far.

Answer:

Step-by-step explanation:

The points are in the format (x , y) so given x which is the first figure, you can find y by following the formula.

Y in the point needs to satisfy the criterion of X + 3.

Point A

x = -1

y = x + 3

= -1 + 3

y = 2

Point A satisfies the equation as y from the equation is y in the point given.

Point B

x = -1

y = x + 3

= -1 + 3

y = 2

Point B does not satisfy the equation and so is not on the line.

Point C

x = 2

y = 2 + 3

y = 5

Point C satisfies the equation as y from the equation is y in the point given.

Point D

x = -3

y = -3 + 3

y = 0

Point D satisfies the equation as y from the equation is y in the point given.

Answer:

e=49

f=131

d=90

Step-by-step explanation:

The conclusion will be valid if a value of 40 in the diagram is gotten since 80% of 50 is 40

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.

In this scenario, they survey 50 randomly chosen audience members at a theater about whether the theater should produce a new musical

If 80% of the audience members support production of a new musical, the number will be:

= 80% × 50

= 0.8 × 50

= 40

Note that the information in the diagram should also correlate to 40 to be correct.

Note that the information is incomplete but was answered based on the information given.

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Answer:

60 ft

Step-by-step explanation:

a² + b² = c²

20² + 15² = c²

c = √625

c = 25

total distance = 20 ft + 15 ft + 25 ft = 60 ft

The statement is valid in light of the fact that the stretch can oblige three head developments every moment.

The probability of an event occurring is referred to as probability. We frequently have to make predictions about the future in real life. We may or may not be aware of the outcome of an event.

At the point when this happens, we broadcast that there is plausible that the occasion will happen. In conclusion, probability can be put to great use in business as well as in this rapidly expanding field of artificial intelligence.

By simply dividing the total number of outcomes by the favorable number of possibilities, the probability of an event can be calculated using the probability formula.

As a result, the claim is true because the time allows for three head movements per minute.

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.

Answer:

the center is (3, -4) and the radius is = 2

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

To make it easier, I divided 75 by 100 (0.75), and did the following:

45 / 0.75 = 60

Answer:

60%

Step-by-step explanation:

75 would be represented as 100 percent.

Answer:

-3/8

Step-by-step explanation:

This equation is formatted as y=mx+b where m is the slope of the line, x is the x value, and b is the y-intercept. When finding the slope of such an equation, just find what the coefficient of x in the function is. So, this equation is y = -3/8x - 6/5 and m is -3/8, so your slope is -3/8. Hope that helps!

Answer:

1. Convert the larger unit to the smaller unit

2. Simplify the ratio as normal

Step-by-step explanation:

simplify 25mm : 5cm

convert the centimetres into millimeters by multiplying by 10.

5×10=505cm=50mm

simplify by dividing by 25

25:50÷25=1:2

Answer:

801.66

Step-by-step explanation:

calculator

Answer:

801.6632653061

Step-by-step explanation:

.......

Answer:

the first one

Step-by-step explanation:

The probability of a simple event to occur is this:

In the question given, the favorable outcomes are either 8 or diamond.

In a deck of cards, there are 13 diamond cards and 4 eights however one of the diamond cards is also 8. Therefore, total favorable outcome is 13 + 4 - 1 = 16.

Of course, the total number of possible outcomes is 52. So, the probability of getting an eight or a diamond is:

The probability, in fraction, is 4/13.

In decimal form, it is 0.3077.

In percentage form, it is 30.77%

A/an database schema diagram can be used to show how the tables in a database are defined and related.

This type of diagram provides a visual representation of the structure and organization of the database. It illustrates the tables ,and  their attributes, and the relationships between them.

The database schema diagram helps in the  understanding the logical design of the database, including primary keys, for  foreign keys, and the connections between different tables. It allows developers, database administrators, and stakeholders to visualize the database structure and serves it as a reference for in  designing, modifying, and querying the database effectively.

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for the 514 hours after 7 p.m. the answer to that is 5 a.m.

To be greater than a negative number, negative values need to be smaller as they get closer to zero.

The answer would be B) -5, -4.5, -3

Answer:

B

Step-by-step explanation:

This is because you could have a number greater of equal to -5, since b is the only one that has that it makes it true.

Answer:

(7.5,3)

Step-by-step explanation:

Image for explanation

Thus, there are 18 ways to choose one book, 153 ways to choose two books, and 360 ways to choose three books, one from each category.

To find the number of ways a student can choose from the given library, we need to use the formula for combinations.

The formula for combinations is:
nCr = n! / r!(n-r)!

where n is the total number of items, r is the number of items to be chosen, and ! denotes factorial.

Let's consider the different ways a student can choose:

1. Choosing one book from any category:
Total number of books = 5+3+6+4 = 18
n = 18, r = 1
Number of ways = 18C1 = 18! / 1!(18-1)! = 18

2. Choosing two books from any category:
n = 18, r = 2
Number of ways = 18C2 = 18! / 2!(18-2)! = 153

3. Choosing three books, one from each category:
For this, we need to choose one book from each category, and the order of selection does not matter.
n1 = 5, r1 = 1 (for history)
n2 = 3, r2 = 1 (for sociology)
n3 = 6, r3 = 1 (for anthropology)
n4 = 4, r4 = 1 (for psychology)
Number of ways = (5C1 x 3C1 x 6C1 x 4C1) = (5 x 3 x 6 x 4) = 360

Therefore, there are 18 ways to choose one book, 153 ways to choose two books, and 360 ways to choose three books, one from each category.

In summary, a student can choose:
- 18 ways to choose one book
- 153 ways to choose two books
- 360 ways to choose three books, one from each category

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Answer:

EF = 18 in. & m∠F = 134 °

Step-by-step explanation:

Hi there,

In order to find the length of side EF, you should realize that this is an isosceles triangle. We know that two sides and two angles of this type of triangle are equal to each other. We also know that the lengths of the sides opposite of the congruent angles are equal to each other. Thus, we proved that length of side EF is equal to the length of side FG.

Therefore, EF is 18 inches because FG is 18 inches.

In order to find m∠F, you need to know that the sum of the angles in a triangle add up to 180°. You add all of the known angle values and subtract it by 180°.

m∠E + m∠G + m∠F = 180°

23° + 23° + m∠F =  180°

46° + m∠F = 180°

m∠F = 134°

Hope this explanation helps you understand this problem. Cheers.

Answer:

 i=√−1i=-1.

Step-by-step explanation:

so esa es la respuesta

Step-by-step explanation:

\( = \sum \limits_{n = 1}^{7} ( - 2. {6}^{n - 1} )\)

\( = \sum \limits_ {n = 1}^{n_{ \text{max}}} (a_1. {r}^{n - 1} )\)

\( \: \)

\(a_1 = - 2\)

\(n = 7\)

\(r = 6 \to r >1\)

\( \: \)

• Find S7.

\(s_n = a_1.( \frac{ {r}^{n} - 1}{r - n} )\)

\(s_7 = - 2.( \frac{ {6}^{7} - 1 }{6 - 1} )\)

\(s_7 = - 2.( \frac{279.936 - 1}{5} )\)

\(s_7 = - 2.( \frac{279.935}{5} )\)

\(s_7 = - 2 \: . \: 55.987\)

\(s_7 = - 111.974\)

The answer is B.

Answer:

i) A. 180º rotation about the origin, ii) \(Q' = (4, 5)\).

Step-by-step explanation:

i) In this case, we understand that vertex \(P = (-5,-3)\) changed to \(P' = (5,3)\) after doing an operation. At first we must calculate the distance of each point regarding origin by Pythagorean Theorem:

Point P:

\(OP = \sqrt{(x_{P}-x_{O})^{2}+(y_{P}-y_{O})^{2}}\)

If we know that \(x_{P} = -5\), \(y_{P} = -3\), \(x_{O} = 0\) and \(y_{O} = 0\), the distance \(OP\) is:

\(OP = \sqrt{(-5-0)^{2}+(-3-0)^{2}}\)

\(OP \approx 5.831\)

Point P':

\(OP' = \sqrt{(x_{P'}-x_{O})^{2}+(y_{P'}-y_{O})^{2}}\)

If we know that \(x_{P'} = 5\), \(y_{P'} = 3\), \(x_{O} = 0\) and \(y_{O} = 0\), the distance \(OP'\) is:

\(OP' = \sqrt{(5-0)^{2}+(3-0)^{2}}\)

\(OP' \approx 5.831\)

As \(OP = OP'\), origin is the center of rotation.

Besides, \(P'\) is a multiple of \(P\), that is:

1) \((-5, -3)\) Given

2) \(((-1)\cdot 5, (-1)\cdot 3)\) \((-a)\cdot b = -a\cdot b\)

3) \((-1)\cdot (5, 3)\) Scalar multiplication of a vector/Result.

The value of the scalar proves that P experimented a 180º rotation about the origin. Hence, the correct answer is A.

ii) If \(Q = (-4, -5)\) and the same operation described in item i) is used, then, the location of \(Q'\) is:

\(Q' = (-1)\cdot Q\)

\(Q' = (-1) \cdot (-4,-5)\)

\(Q' = ((-1)\cdot (-4), (-1)\cdot (-5))\)

\(Q' = (4, 5)\)

Which corresponds to option C.

Answer:

1. A, 2. C

Step-by-step explanation:

Answer:

21 316/729

Key rules to solve:

Step-by-step explanation:

\(\left(\frac{2-1}{2\cdot \:7\frac{1}{3}}\right)^6\)

\(=\left(\frac{2-1}{2\cdot \frac{22}{3}}\right)^6\)

\(=\frac{\left(2-1\right)^6}{\left(2\cdot \frac{22}{3}\right)^6}\)

\(=\frac{1}{\left(2\cdot \frac{22}{3}\right)^6}\)

\(=\frac{1}{\frac{7256313856}{729}}\)

\(\rightarrow 21 \frac{316}{729}\)

Answer:

29

Step-by-step explanation:

[remember: angle sum property of a triangle is always 180]

2x-7+ 3x + 42 = 180(angle sum property of a triangle)

2x + 3x -7 + 42 = 180

5x + 35 = 180

5x = 180-35

5x = 145

x = 145/5

x = 29

hope it helps you!