Carissa works as a babysitter during her summer vacation. She gets paid one rate for daytime hours and a higher rate for nighttime hours. One week, she worked 12 daytime hours and 4 nighttime hours and earned $120. The next week, she earned $60 for a total of 4 daytime hours and 3 nighttime hours. Let x represent the hourly daytime rate and y represent her hourly nighttime rate. 12 x + 4 y = 120. 4 x + 3 y = 60. What is the solution to the system of equations? (3,4) (4, 12) (6, 12) (10, 30).

Answer:y=2x+3

Step-by-step explanation:

The slope intercept form is y=mx+b

m equals to slope

b equals the y-intercept

the slop of this equation is 2

The y-intercept is at (0, 3)

y=2x+3

The following are five different examples of parametric models: exponential distributions, poisson distributions, normal distributions, the Weibull distribution, and linear regressions.

Types of Parametric test–

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The required probability that the student will get 8 or fewer answers is 0.2475.

Binomial  distribution is a typical probability dissemination that models the likelihood of getting one of two results under a given number of boundaries. It sums up the quantity of preliminaries whenever every preliminary has a similar possibility accomplishing one explicit result.

By using binomial distribution for calculating the probability of getting 8 or less than 8 correct answer in the quiz.

Formula ; ⁿCₓ × pˣ × qⁿ⁻ˣ

We have, n = 20 p = 0.5, q = 1 - p = 1 - 0.5 = 0.5

Then,

P(x=0)=20C0*0.5^0*0.5^20=1/1048576

P(x=1)=20C1*0.5^1*0.5^19=5/262144

P(x=2)=20C2*0.5^2*0.5^18=95/524288

P(x=3)=20C3*0.5^3*0.5^17=285/262144

P(x=4)=20C4*0.5^4*0.5^16=4.621*10^-3

P(x=5)=20C5*0.5^5*0.5^15=969/65536

P(x=6)=20C6*0.5^6*0.5^14=0.03696

P(x=7)=20C7*0.5^7*0.5^13=4845/65536

P(x=8)=20C8*0.5^8*0.5^12=0.1201

Then, p(x≤8) = P(x=0)+.......+P(x=8) = 0.2475

Thus, required probability of answers ia 0.2475.

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Answer:

142.6

Step-by-step explanation:

100% + 15% = 115%
115÷100 = 1.15
1.15 x 124 = 142.6

Hope that helped

Answer:

14 cups

Step-by-step explanation:

3 + 6 = 9
9 + 4 = 13

13 + 1 = 14

14 plus fraction

Answer:

Hope this helps good luck! :)

Step-by-step explanation:

[tex]2340=2l+2w\\l= w+410\\2340=2(w+410) +2w\\\\2340= 2w+820+2w\\1520=4w\\\\w=380\\\\l=380+410\\l= 790[/tex]

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

[tex](\stackrel{x_1}{5}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{7}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{5}}} \implies \cfrac{ -6 }{ -2 } \implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7}=\stackrel{m}{ 3}(x-\stackrel{x_1}{5})[/tex]

[tex]y-7=3x-15\implies y=3x-8\implies -3x+y=-8\implies {\Large \begin{array}{llll} 3x-y=8 \end{array}}[/tex]

The value of x in the intersecting line is 54.

When lines intersect, angle relationships are formed such as vertically opposite angles, linear angles angles on a straight lines.

Therefore, angle 2x + 2 is vertically opposite to the angle 3x - 52 .

Vertically opposite angles are congruent to each other.

Vertical Angles are the angles opposite each other when two lines cross. in other words, vertical angles are formed when two lines meet each other at a point.

Hence,

2x + 2 = 3x - 52

2x - 3x = -52 - 2

- x = -54

Therefore,

x = 54

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$699.95×20%=$139.99,  is the finance charge.

A finance charge is any fee that reflects the cost of credit or borrowing under American law.

Some forms of credit have fees and interest that accrue over time. [1] In addition to interest, it also includes additional costs, like those for financial transactions.

The Truth-in-Lending Act and Regulation Z, which were issued by the Statutory Reserve Board, contain information about the federal definition of a finance charge.

A financing charge in personal finance is just the cash amount paid to borrow money, whereas interest is the amount paid as a percentage, such as the annual percentage rate (APR).

Compared to standard dictionary definitions or accounting definitions, these definitions are more specific.

Lenders and creditors both calculate finance charges in different ways. a majority.

Hence, $699.95×20%=$139.99,  is the finance charge.

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a) The number of intersections between the railroad and the highway is of: One.

b) The number of intersections between the railroad and the turnpike is of: Two.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which the parameters are listed as follows:

The points for the railroad are given as follows:

(-8, 0) and (0,5).

When x = 0, y = 5, hence the intercept is of:

b = 5.

When x increases by 8, y increases by 5, hence the slope is of:

m = 5/8.

Thus the equation for the railroad is of:

y = 5/8x + 5.

Then the number of intersections with the highway is of one, as they are linear functions with different slopes.

With the turnpike, the intersection is given as follows:

5/8x + 5 = x²/3

x² -1.875x - 15 = 0.

The discriminant is of:

(-1.875)² - 4(1)(-15) = 63.5.

Which is positive, hence they have two intersections.

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The probability that the student will answer at least7questions correctly then the probability is = [tex]\frac{120}{128}[/tex]

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

Given that,

A test consists of 10 true/false questions.

If a student guesses on each question

The probability that the student will answer at least7questions correctly.

The probability that the student answers each question correctly is 1/2, and

The probability that the student answers each question correctly is also 1/2

{Bernoalli trail}

Bernoalli trail for at least 7 times,

Probability P =  [tex]C7_{10} (\frac{1}{2}) ^{7} (\frac{1}{2}) ^{7}[/tex]

Using the formula nCr = n!(n−r)!r!

= 10!(10−7)!7!

Subtract  7 from 10.

= 10!(3)!7!

Simplify 10!(3)!7!.

Rewrite 10! as (10⋅9⋅8⋅7!)

= (10⋅9⋅8⋅7! / (3)!7!)

Cancel the common factor of 7!.

Cancel the common factor.

= 10⋅9⋅8⋅7! / (3)!7!

Rewrite the expression.

= 10⋅9⋅8 / (3)!

Multiply 10 by 9.

= 90⋅8 / (3)!

Multiply 90 by 8.

= 720 / (3)!

Expand (3)! to 3⋅2⋅1.

= 720 / 3⋅2⋅1

Multiply 3 by 2.

= 720 / 6⋅1

= 720 / 6

Divide 720 by 6

= 120

So,

We can write,

P = [tex]\frac{120}{2^{7} }[/tex]

P = [tex]\frac{120}{128}[/tex]

Therefore,

The probability that the student will answer at least7questions correctly then the probability is = [tex]\frac{120}{128}[/tex]

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Answer: x=5

Step-by-step explanation:

Answer:

(x - 1)² = 16

Step-by-step explanation:

x² - 2x - 15 = 0

x² - 2x + 1 = 15 + 1

(x - 1)² = 16

We must report the deviation to Upon request of the Federal Aviation Administration.

What is Deviation?

The deviation is a metric used to determine the discrepancy between an observed variable's value and its predicted value. The deviation can be defined as the distance from the centre point.

Concept:

Each remote PIC who deviates from a Part 107 rule shall, upon request from the FAA administrator, submit a written report of such deviation.

Who is in charge of providing the participants with information on emergency procedures while utilising a small unmanned airplane in a commercial operation? The commander of the remote pilot. A person may fly an unmanned aerial system for profit even without a Part 107 remote pilot certificate: under the immediate control of a Remote PIC.

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Answer: no solution

Step-by-step explanation:

Correct, there is no solution as any values of x and y will make the equation false

In linear equation, X = 200 millileters of each solution must joy use .

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

              Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

X is the amount of the 20% saline solution

Y is the amount of the 40% saline solution

X + Y = 200

0.2X + 0.4Y = 0.20 * 200 = 40

Solving the first equation for Y and multiplying

the second equation by 10 to clear away the decimals

Y  = 200 - X

2x + 4y = 400

2x + 4(200 - x) = 400

2x + 800 - 4x = 400

0 = 400 - 2x - 800 + 4x

0 = 2x - 400

400 = 2x

x = 200

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Answer: 1611 no votes

Explanation:

4296/8=537
537*3=1611

Answer:

25

Step-by-step explanation:

When you're figuring out the area of a square, you're measuring the size of its surface. You can think of it as finding how many square units make up the entire surface. For squares, the formula for determining area is A = s2, or A = side x side.=

Horizontal compression of f(x) = -x + 4 by a factor of 0.5 will be -2x + 4.

A horizontal line that a function's graph looks to coincide with but does not really do so is said to be its horizontal asymptote. The final behavior of the function is determined using the horizontal asymptote.

Given, g(x) is a horizontal compression of function f(x) = - x + 4 by a factor of 0.5. Hence,

g(x) = -x / 0.5 + 4

g(x) = -2x + 4

Therefore, By a factor of 0.5, the horizontal compression of the function (f(x)) is -x + 4 will result in -2x + 4.

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The way Odysseus hides himself in the leaves to sleep is compared to the way a burning coal is buried deep in the embers to preserve a spark for the next day.

Odyssey, epic poem in 24 books traditionally attributed to the ancient Greek poet Homer. The poem is the story of Odysseus, king of Ithaca, who wanders for 10 years (although the action of the poem covers only the final six weeks) trying to get home after the Trojan War. On his return, he is recognized only by his faithful dog and a nurse. With the help of his son, Telemachus, Odysseus destroys the insistent suitors of his faithful wife, Penelope, and several of her maids who had fraternized with the suitors and reestablishes himself in his kingdom.

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Answer:

yes

Step-by-step explanation:

The answer to your question is yes. We have calculated all the numbers that 831 is evenly divisible by. The numbers that 831 is divisible by are 1, 3, 277, and 831.

The sales tax percentage of the store manager report is 7.41%

Customers are subject to a charge known as sales tax when they buy goods and services.

It is a pass-through tax, which means you must collect it from clients and send the money to your state or local government. the seller do not contribute sales tax.

The sales tax is first calculated by

= price after tax - price before tax

= 513 - 475

= 38

sales tax percentage is calculated using the formula

= (Tax amount / Price before tax) × 100%

= (38 / 513) * 100

= 7.4074

= 7.41%

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When the cost of a gallon of milk increases from $2.81 to $3.48 over a period of 10 years the annual inflation rate is 2.15 percent.

What is a annual inflation rate?

A percentage is used to represent the inflation rate. For instance, a yearly inflation rate of 2% indicates that the cost of products and services as a whole has increased by 2%. As an illustration, a product that cost $10 last year will cost $10.20 this year.

Here, we have

Given

The cost of the gallon of milk earlier was $2.81

The cost of a gallon of milk now is $3.48.

The total time period is 10 years.

r = (F/P)ⁿ⁻¹ - 1

r = {(3.48/2.81)^(1/10) - 1}×100

r = {(1.238)^(1/10) - 1}×100

r = 0.0215 ×100

r = 2.15

Hence, when the cost of a gallon of milk increases from $2.81 to $3.48 over a period of 10 years the annual inflation rate is 2.15 percent.

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The required expression for the term of the given sequence is aₙ = 625 × (1/5)ⁿ⁻¹.

In order to check a geometric sequence, find the ratios of the consecutive terms of the given sequence. If they are equal, the given sequence is geometric.

The given sequence is as follows,

625, 125, 25, 5, 1

The first term is given as a₁ = 625

And, the ratio of the consecutive terms are,

125/625 = 1/5

25/125 = 1/5

Since the ratio of two consecutive terms are equal, the given sequence is a geometric sequence.

The nth term of a geometric sequence is given as aₙ = a₁rⁿ⁻¹.

Thus, the expression for the given sequence is aₙ = 625 × (1/5)ⁿ⁻¹.

Hence, the term for the given sequence can be written in general form as  aₙ = 625 × (1/5)ⁿ⁻¹.

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Answer:

If there are 4 boys and they ate 3 pizzas, and each boy ate the same amount, then each boy ate 3/4 of a pizza. If you want to express this as a fraction, it would be 3/4 of a pizza per boy. If you want to express it as a decimal, it would be 0.75 pizzas per boy. If you want to express it as a percentage, it would be 75% of a pizza per boy.

The bare minimum required is $4500 to reserve 5 blocks totaling at least 34 rooms.

In mathematics, a relationship between two expressions or values that are not equal to each other is called "inequality".

Here,

The number of rooms Joe company needs is 50. Let the number of rooms needed be n, this can be represented by the inequality:

n ≥ 50

Joe has already reserved 16 rooms, therefore the number of additional rooms needed to be reserved = 50 - 16 = 34 rooms. At least 34 rooms have to be reserved, if B is the number of additional blocks that Joe reserves, the inequality is:

B ≥ 34

Each block contains 8 rooms therefore the minimum number of block (a) needed to be reserved = 34/8 = 4.25 = 5 to the next whole number. Therefore the minimum number of blocks needed is given as:

a ≥ 5

Since each block cost $900, let c represent the minimum amount of money needed, therefore the least amount of money needed is given as:

c = $900(5) = $4500

c ≥ $4500

The least amount of money needed is $4500 for booking 5 blocks that will reserve at least 34 rooms.

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The sum of any two sides of a triangle must be greater than the other thus 32 feet,21 feet, and 12 feet will be the correct so options (A),(B), and (D) are correct.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

As per the given,

To be a triangle of three side polygon the sum of any two sides must be greater than the third side.

If we take 32 feet,21 feet, and 8 feet.

21 + 8 = 29 < 32 so it will not form any triangle.

Thus, 8 cannot be taken. now let's take 32,21 and 12 here 21 + 12 = 33 > 32 so it will form a triangle this will be used for the project.

Hence "The right answer will be 32 feet, 21 feet, and 12 feet because the sum of any two sides of a triangle must be bigger than the other".

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The table of values which represent the equation y = 7x - 3 is: table D.

In Mathematics, an ordered pair can be defined as a pair of two (2) elements or points that are commonly written in a fixed order within parentheses as (x, y), which represents the x-coordinate or x-axis (abscissa) and the y-coordinate or y-axis (ordinate) on the coordinate plane of any graph.

In order to determine the true ordered pair that is a solution for the given linear equation, we would have to test the ordered pair contained in each table by substituting it into the linear equation as follows;

For ordered pair (-2, -1), we have:

y = 7x - 3

-1 = 7(-2) - 3

-1 = -14 - 3

-1 = -17 (False).

For ordered pair (-2, -19), we have:

y = 7x - 3

-19 = 7(-2) - 3

-19 = -14 - 3

-19 = -17 (False).

For ordered pair (-2, -15), we have:

y = 7x - 3

-15 = 7(-2) - 3

-15 = -14 - 3

-15 = -17 (False).

For ordered pair (-2, -17), we have:

y = 7x - 3

-17 = 7(-2) - 3

-17 = -14 - 3

-17 = -17 (True).

In this context, we can logically deduce that all of the coordinates in table D represents the equation y = 7x - 3.

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The measure of Angle JKL mJ = 159.4°, mK = 3.8°, and mL = 16.8°.

A ray is rotated about its endpoint, or vertex, to create an angle. The rotational difference between a ray's starting and ending positions is what is measured by an angle's degree.

If x = mJ, y = mK, and z = mL, then

Angle L exceeds Angle K by thirteen, hence z = y + 13 is the result (1)

Since angle J exceeds angle K by a factor of 7, x = 7(6y) = 42y (2)

X + Y + Z = 180 because the triangle's angles add up to 180°.

In place of (1) and (2) (3).

42y + y + (y + 13) = 180

44y + 13 = 180

44y = 167

y = 3.8°

x = 42y = 159.4°

z = y + 13 = 16.8°

The answer is that mJ = 159.4°, mK = 3.8°, and mL = 16.8°.

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The 56th term of the following arithmetic sequence 7,10,13,16 is 172.

What is the arithmetic sequence?

A series of numbers called an arithmetic progression or arithmetic sequence has a constant difference between the terms.

Here, we have

Given

Arithmetic sequence 7,10,13,16.

We have to find the 56th term.

The common difference between terms: 10 - 7 = 3

Using the arithmetic progression formula:

nth term = first term + (n-1)* common difference

56th term = 7 +(56-1) 3

56th term = 7 + 55×3

56th term = 7 + 165

56th term = 172

Hence, the 56th term of the following arithmetic sequence 7,10,13,16 is 172.

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