Somebody please help!

The slope of the given line \(x = 9\) is undefined.

The slope-intercept form of  a straight line is \(y = mx + c\).

Here, 'm' is the slope of the line and 'c' is the y-intercept of the line.

The equation of the given line is

\(x = 9\)

The given line is a vertical line passes through the point (9, 0).

Therefore, slope of this line is undefined.

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The exact probability is less than probability using Poisson distribution is less than probability using normal distribution.

Given that,

10 balls, numbered from 1 to 10, are in an urn. We selected a 111-person sample with replacement.

We have to calculate the probability that the number one appears in the sample no more than three times. Compare the outcomes with the precise probability using both the normal and the Poisson approximations. 0:000949681

We know that,

Let

X= number of times that 1 appears in a sample

Probability of getting 1 =1/10=0.1

Then X congruent to Binomial (111,0.1)

Now,

If we approximately X is Poisson distribution with parameter

λ=111 ×0.1=11.1

Then

P(X≤3)=∑x=0 to 3 e⁻¹¹°¹(11.1)ˣ/x!

P(X≤3)= 0.004558534

If we approximate X by Normal distribution with mean

μ=111 ×0.1=11.1

σ=√111 ×0.1×0.9= 3.160696 then

P(X≤3)=0.005192688

Exact probability is

P(X≤3)=0.003275558

Therefore, The exact probability is less than probability using Poisson distribution is less than probability using normal distribution.

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The circumference of the nickel is approximately 66.59 millimeters.

Since the diameter of a nickel is 2.16 millimeters longer than the diameter of a penny, we need to first find the diameter of the penny. Since the radius of a penny is 9.525 millimeters, the diameter of the penny is twice the radius, which is 9.525 * 2 = 19.05 millimeters.

Now, we can find the diameter of the nickel by adding 2.16 millimeters to the diameter of the penny: 19.05 + 2.16 = 21.21 millimeters. To find the circumference of the nickel, we use the formula C = π * d, where C is the circumference, π is approximately 3.14, and d is the diameter.

Using the diameter of the nickel (21.21 millimeters) and the value of π (3.14), we can calculate the circumference: C = 3.14 * 21.21 = 66.59 millimeters.
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The stress-strain curve of structural steel with a yield point can generally be divided into three stages: elastic deformation, yielding, and plastic deformation.

In the first stage, known as elastic deformation, the steel material exhibits a linear relationship between stress and strain. This means that when stress is applied, the steel deforms elastically and returns to its original shape once the stress is removed. The steel behaves like a spring during this stage, with the deformation being directly proportional to the applied stress.

The second stage is the yielding stage. At this point, the stress-strain curve deviates from linearity, and plastic deformation begins to occur. The steel reaches its yield point, which is the stress level at which a significant amount of plastic deformation starts to take place. The material undergoes permanent deformation during this stage, even when the stress is reduced or removed.

The third stage is the plastic deformation stage. In this stage, the steel continues to deform plastically under increasing stress. The stress-strain curve shows a gradual increase in strain with increasing stress. The material may exhibit strain hardening, where its resistance to deformation increases as it continues to stretch. Ultimately, the steel may reach its ultimate strength, after which it may experience necking and eventual failure.

Overall, the stress-strain curve of structural steel with a yield point is characterized by the initial linear elastic deformation, followed by yielding and plastic deformation. These stages represent the steel's ability to withstand and accommodate varying levels of stress before reaching its breaking point.

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The best discrete variable of measurement for the situation is an interval.

Finding the scale of measurement for the variables is the next step in selecting a statistical test after identifying the independent and dependent variables. The dependent variable must be measured using an interval or ratio scale for each of the parametric tests that we have covered so far. Many psychologists also subject variables with roughly interval scales of measurement to parametric tests. You must decide whether to use "scale" or "interval" scores when performing parametric tests of means.

Given the condition about whether the race of the defendant has an impact on jury verdicts,

and measure on a 1 (not at all) to 7 (very) scale how guilty the defendant,

The best scale of measurement for the condition is an interval.

Although the interval scale has characteristics of nominal and ordered data, it also allows for the quantification of data point differences. The variables' actual positions in the order as well as their differences are both displayed by this form of data. They can be combined or split, but not added to or subtracted from. 

The fact that zero is an existing variable adds another characteristic to this scale. Zero in the ordinal scale indicates that there is no data.

Hence the scale of measurement is an interval.

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The words savage and savory are neither similar nor contradictory.

Contradiction is a term used to indicate mutually opposite things. It is commonly used in statements where both the statements cannot be true.

Savage is a word the meaning of which is wild or non cultivated in a context as an adjective. In another context, savage can be used as a noun to define an uncivilized or a brutal human.

On the other hand, savory is a completely different term which is used to define the taste of the dishes, typically in a positive way.

Hence the terms savage and savory are neither similar nor contradictory words.

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Answer:

A

Step-by-step explanation:

It would be A since this one goes with the purpose of the study

Answer:

234.5

Step-by-step explanation:

Answer:

234.5

Step-by-step explanation:

a. The subtοtal is $23.45, the tip is $4.22, and the tοtal cοst οf their meal is $27.67.

b. Each persοn wοuld pay $13.84.

The additiοn is a basic arithmetic οperatiοn that cοmbines twο οr mοre quantities intο a single sum. It is οne οf the fοur basic οperatiοns in arithmetic, alοng with subtractiοn, multiplicatiοn, and divisiοn.

In additiοn, the quantities being cοmbined are called addends, and the result οf the additiοn οperatiοn is called the sum. The additiοn is represented using the plus sign (+), which is placed between the addends. Fοr example, the additiοn expressiοn "3 + 5" means that we are adding 3 and 5 tοgether tο get a sum οf 8.

Fοr example, tο add the numbers 34 and 56, we start by adding the digits in the οne's place, which gives us 4 + 6 = 10. We write dοwn the 0 and carry the 1 οver tο the tens place. Then we add the digits in the tens place, which gives us 3 + 5 + 1 = 9. The final answer is 90.

a: Subtοtal = Hamburger + Guacamοle + Cheeseburger + Fries + Sοda + Milk

Subtοtal = $7.99 + $1.00 + $8.99 + $2.49 + $1.99 + $0.99

Subtοtal = $23.45

Tip = 18%×Subtοtal

Tip = 0.18 × $23.45

Tip = $4.22 (rοunded tο the nearest cent)

Tοtal = Subtοtal + Tip

Tοtal = $23.45 + $4.22

Tοtal = $27.67 (rοunded tο the nearest cent)

Therefοre, the subtοtal is $23.45, the tip is $4.22, and the tοtal cοst οf their meal is $27.67.

b: If Sue and her friend split the final cοst equally, each persοn wοuld pay half οf the tοtal cοst:

$27.67 / 2 = $13.84 (rοunded tο the nearest cent)

Therefοre, each persοn wοuld pay $13.84.

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Answer:

20

Step-by-step explanation:

0.25(x+40) = 3+0.75(x - 4)

Reciprocal the second fraction and perform multiplication instead addition.

What is fraction?

A number expressed as a quotient, in which a numerator is divided by a denominator.

Given:

Negative 2 and one-half divided by five-fourths = Negative five-halves divided by five-fourths = negative five-halves (five-fourths) = negative StartFraction 10 over 8 EndFraction.

As we see the calculations there is mistake which had amy made.

Amy should have reciprocal the second fraction before multiplication. As division is now allowed in fraction.

Also,  She perform addition instead of multiplication.

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Ella spent 34 minutes making the birthday card.

To calculate the time duration Ella spent making the birthday card, we need to subtract the starting time from the finishing time. Let's perform the calculation:

Finishing Time: 7:53 p.m.

Starting Time: 7:19 p.m.

To calculate the minutes, we can convert both times to minutes past midnight (assuming it is a 24-hour clock) and then find the difference.

Starting Time in Minutes: 7 * 60 + 19 = 439 minutes

Finishing Time in Minutes: 7 * 60 + 53 = 473 minutes

Now, we can find the duration by subtracting the starting time from the finishing time:

Duration = Finishing Time - Starting Time = 473 minutes - 439 minutes = 34 minutes

Therefore, Ella spent 34 minutes making the birthday card.

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Answer:

it shows a correlation and a causation

Step-by-step explanation:

shows a correlation because it's showing a positive correlation

it's showing a causation because the more water park admission the more ice cream sales there are

The correct answer is a) the probability of precipitation is 72%. and b)  the probability of precipitation is 2%.

The given formula to determine the probability of precipitation (PoP) is PoP = (C * A) * 100 percent where C represents the confidence that precipitation will occur somewhere in the forecasted area and A represents the percentage of the area that will receive measured precipitation if it occurs.

(a) If a forecaster expresses confidence that there is an 80% chance of precipitation in the forecasted area, and it is expected to produce measurable precipitation over 90% of the area, then the probability of precipitation is given as follows: PoP = (C * A) * 100 per cent C = 80%A = 90%PoP = (80% * 90%) * 100%

PoP = 72%.

Therefore, the probability of precipitation is 72%.

(b) If a forecaster expresses confidence that there is a 20% chance of precipitation in the forecasted area, and it is expected to produce measurable precipitation over 10% of the area, then the probability of precipitation is given as follows: PoP = (C * A) * 100 per cent C = 20%A = 10%PoP = (20% * 10%) * 100%PoP = 2%

Therefore, the probability of precipitation is 2%.

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Answer:

no they are not equalent to each other

Both Option A and Option C have cubic polynomial graphs.

Describe cubic polynomials using an example.

a degree three polynomial. Cubic polynomials include, for instance, x3 - 1, 4 a3 - 100 a2 + a - 6, and m2n + mn2.

If a polynomial has one variable and the highest degree is three, the function is referred to as cubic.

Additionally, the x axis will be clipped at three locations if you draw the cubic function's graph in a two-dimensional coordinate plane.

One real root, two real roots, or all real roots can be found in a cubic polynomial. Since imaginary roots always occur in pairs, the cubic function either has 1 real root when 2 roots are non-real, 2 real roots when 2 roots are real, or all real roots.

As a result, graph A only crosses the X axis at the point where x=0.

Since it can have two imaginary non-real roots or all roots equal to 0.

It is the y=x3 curve.

Similar to graph A, graph B only intersects the X axis once, at x=0. This makes graph B a parabola. Therefore, there is no probability that it will ever again cross the X axis.

When you look at the graph C, the X axis is cut at three spots, suggesting that it might be a cubic polynomial graph.

A straight line is represented by Curve D.

Both Option A and Option C have cubic polynomial graphs.

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The floating-point literal that correctly represents the scientific notation value: 2.3 x 10^7 will be A. 2.3e^7.

It should be noted that scientific notation simply means. way that's used to express numbers that are either too large or too small to be written in decimal form.

Therefore, it should be noted that the floating-point literal that correctly represents the scientific notation value: 2.3 x 10^7 will be:

= 2.3 × 20^7

= 2.3 × e^7

= 2.3e7

The correct option is A.

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Which floating-point literal correctly represents the scientific notation value: 2.3 x 10^7?

a. 2.3e^7

b. 2.3 × 10e^7

c. 2.3e × 10^7

d. 2.3 × e^7

Answer:

1/18

Step-by-step explanation:

1/6 * 1/3

1 *1 = 1

6 * 3 = 18

1/18

Answer:

0.05555555555555

Step-by-step explanation:

You can try rounding it

\(82x - 33\) ✅

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}\)

\(5x + 11(7x - 3) \\ = 5x + 77x - 33 \\ = 82x - 33\)

\(\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}\)

Answer:

\(A = 48.815\)

Step-by-step explanation:

\( \frac{a}{ \sin(A) } = \frac{b}{ \sin(B) } \)

\( \frac{12.5}{ \sin(A) } = \frac{15.4}{ \sin(68) } \)

\(12.5 \sin(68) = 15.4 \sin(A) \)

\( \frac{12.5 \sin(68) }{15.4} = \frac{15.4 \sin(A) }{15.4} \)

\( \sin(A) = \frac{12.5 \sin(68) }{15.4} \)

\( A=\sin ^{ - 1} ( \frac{12.5 \sin(68) }{15.4} ) \)

\(A = 48.815\)

(i) To determine whether ∠DEF on the map is greater than, less than, or the same as the angle between the horizontal lines in real life, we need to consider the scale of the map. The given lengths DE = 3.5 cm and EF = 5.5 cm represent distances on the map, but they do not necessarily correspond to the actual distances in real life.

Without knowing the scale of the map, we cannot make a direct comparison between the angles on the map and the angles in real life. To determine the relationship between the angles, we would need additional information about the scale of the map or the actual distances between the locations.

(ii) To find the length DF, we can use the Law of Cosines. The Law of Cosines states that in a triangle, the square of one side is equal to the sum of the squares of the other two sides minus twice the product of the two sides and the cosine of the included angle.

In triangle DEF, we know the lengths DE = 3.5 cm, EF = 5.5 cm, and the angle ∠DEF = 105°. Let DF be denoted as x.

Applying the Law of Cosines, we have:

x^2 = 3.5^2 + 5.5^2 - 2 * 3.5 * 5.5 * cos(105°)

Solving this equation will give us the length DF.

(iii) To find the angle ∠EFD, we can use the Law of Sines. The Law of Sines states that the ratio of the length of a side of a triangle to the sine of its opposite angle is constant.

In triangle DEF, we know the lengths DE = 3.5 cm, EF = 5.5 cm, and we have just found the length DF. Let ∠EFD be denoted as θ.

Using the Law of Sines, we have:

sin(∠EFD) / DF = sin(∠DEF) / DE

Solving this equation will give us the angle ∠EFD.

(iv) To find the area of triangle DEF, we can use the formula for the area of a triangle given the lengths of two sides and the included angle. The formula is:

Area = 0.5 * DE * EF * sin(∠DEF)

Substituting the given values, we can calculate the area of triangle DEF.

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Answer:

the answer is (a) 28.

Step-by-step explanation:

The given situation can be represented by a linear equation of the form:

Cost = mx + b

where "m" is the slope (the rate of change of cost with respect to time), "x" is the number of hours of the tour, and "b" is the y-intercept (the cost when x = 0).

In this case, the y-intercept is $60, which represents the one-time fee. The cost increases by $28 per hour, so the slope is:

m = $28/hour

Therefore, the answer is (a) 28.

By using the concept of relative velocity, the person will travel 14.5 km over the next 3 hours.

To solve the problem, we will use the concept of relative velocity and we can break it into two parts: the time taken to reach point B and the time taken to travel for the next 3 hours.

Let's start with the time taken to reach point B. We know that the person is moving at a constant speed of 5 km/h and it takes 30 minutes to pass point B. Since speed is distance over time, we can use the formula \($distance = speed \times time$\) to find the distance traveled to reach point B:

\(\[distance_{AB} = 5 \times \frac{1}{2} = 2.5 \text{ km}\]\)

Next, let's calculate the distance the person will travel over the next 3 hours. We know that the person is now moving at a speed of 4 km/h. Again, using the formula \($distance = speed \times time$\), we can find the distance traveled over 3 hours:

\(\[distance_{next3hours} = 4 \times 3 = 12 \text{ km}\]\)

Adding the distance traveled to reach point B and the distance traveled over the next 3 hours:

\(\[total\_distance = distance_{AB} + distance_{next3hours} = 2.5 + 12 = 14.5 \text{ km}\]\)

Therefore, the person will travel 14.5 km over the next 3 hours.

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1. Sorting the data:

0, 0, 0, 1, 2, 2, 4, 5, 7, 8, 10

2. IQR of the data set is: 7

The range of values in the middle of the scores is referred to as the interquartile range, or IQR. The interquartile range is the appropriate measure of variability when a distribution is skewed and the median rather than the mean is utilised to demonstrate a central tendency.

Here in the question,

1. We have to arrange the given set of data from least to greatest as follows:

0, 0, 0, 1, 2, 2, 4, 5, 7, 8, 10

2. Lower half of data:

0, 0, 0, 1, 2

Upper half of data:

4, 5, 7, 8, 10

Interquartile range = 7 - 0

= 7.

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The probability that the marble is large or white is 0.5714.

Probability is the branch of mathematics that studies the possible outcomes of given events together with the outcomes' relative likelihoods and distributions.

Probability of an event is

P(A) = Number of favorable outcomes/ Total Number of outcomes      

       = n(A)/n(S)

where

P(A) is the probability of an event “A”

n(A) is the number of favorable outcomes

n(S) is the total number of events in the sample space.

We have,

Number of large marbles = 14

Number of small marbles = 10

Number of large green marbles = 8 which implies

Number of large white marbles = 14 - 8 = 6

Number of small white marbles = 4 which implies

Number of small green marbles = 10 - 4 = 6.

Now, let

Let X be the event of drawing large marble.

Let Y be the event of drawing small marble.

Let M be the event of drawing white marbles.

Let N be the event of drawing green marbles.

Since only one marble is drawn at a time ,

so P(X) =  14/24

    P(Y) = 10/24

    P(M) = 10/24

    P(N) = 14/24

We have to find the probability that a marble is large or white i.e. P(X∪M).

P(X∪M) = P(X) + P(Y) - P(X∩M)

P(X∩M) = In 14 large marbles 6 are white marbles = 6/14.

P(X∪M) = P(X) + P(Y) - P(X∩M) = 14/24 + 10/24 - 6/14 = 0.5833+0.4167-0.4286 = 0.5714.

Therefore, the probability of drawing large or white marble is 0.5714.

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Answer:

69.4 inches

Step-by-step explanation:

A kite is a quadrilateral (has four sides and four angles) with two pairs of congruent adjacent sides. The diagonals of a kite are perpendicular to each other.

To prove that quadrilateral ADBC is a kite, the diagonals of the kite have to be perpendicular to each other.

AD ⊥ BC.

Since adjacent sides are equal to each other, hence:

BC = BD, AC = AD

The coordinate of the vertices are A(11, 0), B(11, 26), C(0, 18) and D(22, 18)

\(BC=\sqrt{(0-11)^2+(18-26)^2} =13.6\ unit\\\\AC=\sqrt{(0-11)^2+(18-0)^2} =21.1\ unit\)

BC = BD, AC = AD

Perimeter of kite = BC + BD + AC + AD = 2BC + 2AC = 2(13.6) + 2(21.1) = 69.4 units = 69.4 inches

Answer: 69

Step-by-step explanation:

To solve the initial value problem y'' - 2y' - 3y = 0, with y(0) = 1 and y'(0) = 2, we can use the method of Laplace transforms.

First, we take the Laplace transform of the given differential equation to obtain an algebraic equation in terms of the Laplace transform of the unknown function y(t). Then, we solve the algebraic equation for the Laplace transform of y(t) using standard algebraic techniques. Finally, we take the inverse Laplace transform to obtain the solution y(t) in the time domain.

Applying the Laplace transform to the given differential equation, we have s²Y(s) - sy(0) - y'(0) - 2(sY(s) - y(0)) - 3Y(s) = 0, where Y(s) represents the Laplace transform of y(t). Simplifying this equation, we get (s² - 2s - 3)Y(s) - (s - 2) = s²Y(s) - 3s - 4. Rearranging the equation, we have Y(s) = (s - 2) / (s² - 2s - 3).

To solve this equation for Y(s), we can decompose the expression into partial fractions, which yields Y(s) = 1 / (s - 3) - 1 / (s + 1). Taking the inverse Laplace transform of Y(s), we obtain y(t) = e^(3t) - e^(-t), which is the solution to the initial value problem.

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The equilibrium quantity is q = 24 at price p = $7,200

To find the equilibrium quantity and price, we need to set the supply equal to demand:

q^2 + 30q = -4q^2 + 10q + 19,200

Simplifying and rearranging, we get:

5q^2 - 20q + 19,200 = 0

Using the quadratic formula, we can solve for q:

q = [20 ± sqrt(20^2 - 4(5)(19,200))]/(2(5))

q = [20 ± 220]/10

Since a negative quantity of the commodity doesn't make sense in this context, we can reject the negative solution, leaving us with:

q = (20 + 220)/10 = 24

Now, we can use either the supply or demand function to find the equilibrium price. We'll use the demand function:

p = -4(24)^2 + 10(24) + 19,200

p = $7,200

Therefore, the equilibrium quantity is 24 units and the equilibrium price is $7,200 per unit.

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Answer:

Step-by-step explanation:

310/5=62 so he makes 62 in 1 hour

62x18=1116 so he makes 1116 in 18 hours