Christian is rewriting an expression of the form y = ax2 bx c in the form y = a(x – h)2 k. which of the following must be true? h and k cannot both equal zero k and c have the same value the value of a remains the same h is equal to one half –b

After Louis XVI's failed attempts to sabotage the Assembly and to keep the three estates separate, the Estates-General ceased to exist, becoming the National Assembly. It renamed itself the National Constituent Assembly on July 9 and began to function as a governing body and constitution-drafter.

National assembly

The National Assembly was the first revolutionary government of the French Revolution and existed from June 14th to July 9th in 1789. The National Assembly was created amidst the turmoil of the Estates-General that Louis XVI called in 1789 to deal with the looming economic crisis in France.

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Answer:

No, It is a Partial Variation.

Step-by-step explanation:

Direct Variation: y = mx

Partial Variation: y = mx + k

The statement "If x is nonnegative, then either x is positive or x is zero" is logically equivalent to "x is negative or x is positive or x is zero."

The given statement asserts that if a value x is nonnegative, then it must either be positive or zero. The logical equivalent of this statement is obtained by negating the conditions and applying logical operators.

Negating the original statement, we get: "If x is not positive and x is not zero, then x is negative." This can be further simplified as "x is negative or x is not negative."

Applying De Morgan's laws, "x is not negative" is equivalent to "x is positive or x is zero." Thus, the logically equivalent statement is "x is negative or x is positive or x is zero."

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Answer:

There are two outcomes for the coin because it has two sides and there six outcomes for the dice because it has 6 sides.

Step-by-step explanation:

Answer: True

Step-by-step explanation:

The task involves modifying the given code to implement binary search on an array in descending order. The logic of the code needs to be adjusted accordingly.

The task requires modifying the existing code to perform binary search on an array sorted in descending order. In the original code, the logic for the ascending order was based on comparing the key with the middle element of the list. However, in the descending order case, we need to adjust the logic.

To implement binary search on a descending array, we need to swap the order of the conditions in the code. Instead of checking if the key is less than the middle element, we need to check if the key is greater than the middle element. Similarly, the condition for equality also needs to be adjusted.

The modified code for binary search in descending order would look like this:

public static int binarysearch2(int[] list, int key) {

   int low = 0;

   int high = list.length - 1;

   while (high >= low) {

       int mid = (low + high) / 2;

       if (key > list[mid])

           high = mid - 1;

       else if (key < list[mid])

           low = mid + 1;

       else

           return mid;

   }

   return -1; // Not found

}

By swapping the conditions, we ensure that the algorithm correctly searches for the key in a descending ordered array.

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(a) The expected number of cars with properly cleaned windows is 105 and the Standard Deviation is 7.97.  

(b) Probability = 0.961 (approx.).

From the sample, the expected number of cars with properly cleaned windows is:

Expected value or Mean (μ) = np.

Here, n = 250 (sample size), p = 0.42 (probability of cleaning windows properly).

Expected value or Mean (μ)= np = 250 × 0.42 = 105.

The standard deviation: σ = √npq, where q = (1 - p) = 1 - 0.42 = 0.58.

So, Standard deviation, σ = √npq = √(250 × 0.42 × 0.58) = √(63.42) = 7.97 (approx.).

Hence, the expected number of cars with properly cleaned windows is 105 and the standard deviation is 7.97 (approx.)

(b) Let X be the number of cars with properly cleaned windows in the sample. We need to find the probability that fewer than 119 cars have properly cleaned windows, P(X < 119).We can use the standard normal distribution to find this probability by converting X into the standard normal variable Z.

Z = (X - μ)/σ

Z = (119 - 105)/7.97 = 1.76.

Using standard normal distribution table, P (Z < 1.76) = 0.9608 (approx.).

Therefore, the probability that fewer than 119 cars, in the sample, have properly cleaned windows is 0.961 (approx.).

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Answer:

#4

Exterior angles of a polygon sum to 360

#5

Sum of interior angles of a pentagon is:

Sum of interior angles of a given pentagon:

When an inequality is multiplied or divided by a negative number, the inequality sign will flip, meaning it will change its direction. For example, if you have a > b and you multiply or divide both sides by a negative number, the inequality will become a < b. This is because the relationship between the values reverses when multiplied or divided by a negative number.

Explanation:

When an inequality is multiplied or divided by a negative number, the direction of the inequality sign is flipped. This is because multiplication or division by a negative number, results in a reversal of the order of the numbers on the number line.

To see why this happens, consider the following example:

Suppose we have the inequality x < 5. If we multiply both sides of this inequality by -1, we get -x > -5. Notice that we have flipped the inequality sign from "<" to ">". This is because multiplying by -1 changes the sign of x to its opposite, and also changes the sign of 5 to its opposite, resulting in a reversal of the order of the numbers on the number line.

Similarly, if we divide both sides of the inequality x > 3 by -2, we get (-1/2)x < (-3/2). Here, we have again flipped the inequality sign from ">" to "<". This is because dividing by a negative number also changes the order of the numbers on the number line.

In general, if we have an inequality of the form a < b or a > b, where a and b are real numbers, and we multiply or divide both sides by a negative number, we obtain:

If we multiply by a negative number, the inequality sign is flipped. For example, if a < b and c < 0, then ac > bc.

If we divide by a negative number, the inequality sign is also flipped. For example, if a > b and c < 0, then a/c < b/c.

Therefore, it is important to be mindful of the signs of the numbers involved when performing operations on inequalities. If we multiply or divide by a negative number, we must flip the direction of the inequality sign accordingly.

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The limit limh→0 [f(x+2h) - f(x)]/h is equal to 2lnb.

To find the limit directly without using advanced techniques, let's substitute the function f(x) = b^x into the expression and simplify it step by step.

limh→0 [f(x+2h) - f(x)]/h = limh→0 [(b^(x+2h)) - (b^x)]/h

Using the properties of exponential functions, we can rewrite the expression:

= limh→0 [(b^x * b^(2h)) - (b^x)]/h

= limh→0 [b^x * (b^2h - 1)]/h

Now, let's focus on the term (b^2h - 1) as h approaches 0. We can apply a basic limit property, which is limh→0 a^h = 1, when a is a positive constant:

= limh→0 [b^x * (b^2h - 1)]/h

= b^x * limh→0 (b^2h - 1)/h

As h approaches 0, we have (b^2h - 1) → (b^0 - 1) = (1 - 1) = 0.

Therefore, the expression simplifies to:

= b^x * limh→0 (b^2h - 1)/h

= b^x * 0

= 0

Hence, the limit of [f(x+2h) - f(x)]/h as h approaches 0 is 0.

In conclusion, the limit limh→0 [f(x+2h) - f(x)]/h, where f(x) = b^x, is equal to 0.

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Answer:  median would be less than the mean.

Answer:

no

Step-by-step explanation:

Because PEMDAS is something you MUST follow no matter WHAT!!!!!!!!

Period pooo

we are looking for a point to the right of (4,7), the point P is (15/2, x+3) = (15/2, 21/2).

What is polynomial ?

A polynomial is a mathematical expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

Let P = (x, y) be a point on L that is four times as far from (2, 5) as it is from (4, 7). Since L contains P, we know that y = x + 3. We also know that the distance from P to (2, 5) is 4 times the distance from P to (4, 7). Using the distance formula, we get:

(x - 2)^2 + (y - 5)^2 = 4[(x - 4)^2 + (y - 7)^2]

Plug in y = x+3 and simplify the equation as ,

(x-2)^2 + (x+3-5)^2 = 4(x-4)^2 + 4(x+3-7)^2

x^2 - 4x + 4 + x^2 - 6x + 9 = 4x^2 - 32x + 48 + 4x^2 - 24x + 36

2x^2 - 30x + 97 = 0

Solving for x, we have x = 15/2 or x = -3/1

Since we are looking for a point to the right of (4,7), the point P is (15/2, x+3) = (15/2, 21/2).

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the answer is: (T R U E........)

To solve the expression 9 - 12 + 6/-3 + 3(-3) first do the operation of division, i.e. option B: 6/-3.

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

The given expression is - 9 - 12 + 6/-3 + 3(-3)

Follow the BODMAS rule to solve the expression.

BODMAS = Bracket Of Division Multiplication Addition and Subtraction

The first step is to solve the bracket -

= 9 - 12 + 6/-3 + 3(-3)

= 9 - 12 + 6/-3 - 9

The next step is to solve the division -

= 9 - 12 + 6/-3 - 9

= 9 - 12 -2 - 9

The next step is to solve the addition and subtraction -

= 9 - 12 - 2 - 9

= 9 - 23

= -14

Therefore, the value of the expression is obtained as -14.

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The correct answer is event correlation.

Event correlation is a technique for making sense of a large number of events and pinpointing the few events that are really important in that mass of information. This is accomplished by looking for and analyzing relationships between events.

Event can be defined as a set of outcomes of an experiment. In other words, an event in probability is the subset of the respective sample space. So, what is sample space? The entire possible set of outcomes of a random experiment is the sample space or the individual space of that experiment

One example of event correlation can occur with intrusion detection. Perhaps there is an employee account that hasn't been accessed for years, and suddenly a large number of login attempts are noticed. That account may start executing suspicious commands.

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Answer:

14

Step-by-step explanation:

7(8-6)

So, PEMDAS

7(2)= 14

14 is the answer.

Answer:5

Step-by-step explanation:

Normal Probability PlotNormal Probability Plot of the octane rating data using MatlabOctane rating refers to the measure of the quality or performance of gasoline.

It is a measure of the resistance of gasoline to knocking, which is caused by the air/fuel mixture detonating prematurely in the engine. A higher octane rating implies a higher resistance to knocking or pinging.

The given data on octane rating is as follows:88.5 98.8 89.6 92.2 92.7 88.4 87.5 90.9 94.7 88.3 90.4 83.4 87.9 92.6 87.8 89.9 84.3 90.4 91.6 91.0 93.0 93.7 88.3 91.8 90.1 91.2 90.7 88.2 94.4 96.5 89.2 89.7 89.0 90.6 88.6 88.5 90.4 84.3 92.3 92.2 89.8 92.2 88.3 93.3 91.2 93.2 88.9 91.6 87.7 94.2 87.4 86.7 88.6 89.8 90.3 91.1 85.3 91.1 94.2 88.7 92.7 90.0 86.7 90.1 90.5 90.8 92.7 93.3 91.5 93.4 89.3 100.3 90.1 89.3 86.7 89.9 96.1 91.1 87.6 91.8 91.0 91.0

We are to construct a normal probability plot of the given data using Matlab.The normal probability plot of the given data using Matlab is as follows:Normal Probability Plot of octane rating dataIt can be seen from the normal probability plot that the points do not lie on a straight line.

Therefore, the assumption that octane rating is normally distributed is not reasonable.

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The equation for the absolute value function is y = -2lx-4l + 2

An absolute value function is what?

A function that surrounds an algebraic expression in absolute value symbols is called as an absolute value function. Remember that a number's distance from 0 on the number line represents its absolute value. The definition of the absolute value parent function is given as follows: f(x)=x if x>00 if x=0 if x0.

Y=a| x+h |+k is the form of the equation for an absolute value function. Also:

The graph's vertex is (h,k).

The range of the graph is y≥k for a>0 and its domain is a set of all real numbers.

The range of the graph is y≤k when a0, and its domain is a set of all real numbers.

X=h is the symmetry axis.

If a>0, it opens up; if a0, it opens down.

The graph of y=a| xh |+k can be created by translating the line graph y=| x | by h units horizontally and k units vertically.

If | a | 1 and if | a | >1, the graph of y=a| x | is wider than the graph of y=| x | and narrower.

So here (h,k)=(4,2)
range of y≤2

and its narrower so a≥1
hence the equation is y = -2 l x-4 l +2


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A frequency distribution in which there are too many scores at the extremes of the distribution is said to be platykurtic distribution.

What is frequency distribution?

Frequency tables or charts are used to represent frequency distributions.

Frequency distributions can display the proportion of observations or the actual number of observations that fall inside each range. The distribution is known as a relative frequency distribution in the latter case.

We are given a frequency distribution in which there are too many scores at the extremes of the distribution

This distribution is said to be platykurtic distribution because a distribution with a negative excess kurtosis value is referred to as "platykurtic." Since there are fewer extremely positive or negative events, a platykurtic distribution will have thinner tails than a normal distribution.

Hence, this type of distribution is said to be platykurtic distribution.

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The actual bill was $62.5.Actual Billed Amount refers to the total amount that the Company actually bills.

Actual Billed Amount refers to the total amount that the Company actually bills Customers for (a) Customer Services rendered to Customers, or (b) Customer Directed Payments, plus applicable Taxes thereon, as specified in the Service Bill rendered on the relevant Business Day. However, for the avoidance of doubt, in no case will an amount specified on a Service Bill that is a re-issuance of a previously billed Actual Billed Amount (for example, the re-issuing

Based on the given situation of Wendy

Formula: actual bill * ( 12% + 1 ) = Expected bill

Let the actual bill is 'y'

∴ y* (12% + 1 ) * 70

⇒y * 1.12 = 70

⇒ y = 70/ 1.12

⇒ y = 62.5

Hence, the actual bill was $62.5

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Considering the definition of probability, the probability that the smoke will be detected by either a or b or both is 99%.

Probability is the greater or lesser possibility that a certain event will occur.

In other words, the probability is the possibility that a phenomenon or an event will happen, given certain circumstances. It is expressed as a percentage.

The union of events AUB is the event formed by all the elements of A and B. That is, the event AUB is verified when one of the two, A or B, or both occurs.

The probability of the union of two compatible events is calculated as the sum of their probabilities subtracting the probability of their intersection:

P(A∪B)= P(A) + P(B) -P(A∩B)

where the intersection of events A∩B is the event formed by all the elements that are, at the same time, from A and B. That is, the event A∩B is verified when A and B occur simultaneously.

In first place, let's define the following events:

Then you know:

Considering the definition of union of eventes, the probability that the smoke will be detected by either a or b or both is calculated as:

P(A∪B)= P(A) + P(B) -P(A∩B)

P(A∪B)= 0.95 + 0.98 -0.94

P(A∪B)= 0.99= 99%

Finally, the probability that the smoke will be detected by either a or b or both is 99%.

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The range of the test scores in Mr. Miller's math class is 42.

Mathematically, the range refers to the difference between the highest value and the lowest value in a data set.

The range is computed by subtraction of the lowest value from the highest value.

Mr. Miller can use the range to measure the spread or dispersion of the test scores.

Test Scores:

52, 61, 69, 76, 82, 84, 85, 90, 94

Highest score = 94

Lowest score = 52

Range = 42 (94 - 52)

Thus, we can conclude that for the math students in Mr. Miller's class, the range of their test scores is 42.

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Answer: 28.58

Step-by-step explanation: you find 7x4 which is 28 and then 28 + 0.58 and that gives you 28.58

Answer:

not possible

........................................

The probability distribution of the random variable W is {1/8, 3/8, 3/8, 1/8}. Since a head is twice as likely to occur as a tail, the probability of getting a head is 2/3 and the probability of getting a tail is 1/3.

We can create a table of the sample space and the values of W for each outcome:

HHH: W = 3

HHT: W = 1

HTH: W = 1

THH: W = 1

HTT: W = -1

THT: W = -1

TTH: W = -1

TTT: W = -3

To find the probability of each value of W, we count the number of outcomes that give that value and divide by the total number of outcomes. There are 8 possible outcomes, so the probabilities are:

P(W = -3) = 1/8

P(W = -1) = 3/8

P(W = 1) = 3/8

P(W = 3) = 1/8

Therefore, the probability distribution of the random variable W is {1/8, 3/8, 3/8, 1/8}.

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Answer: (D)

Step-by-step explanation:

Let 8/9=x/12

9*x=12*8

9x=96

x=10.7

The probability of a particular event occurring is

d. conditional probability.

d. conditional probability.

Conditional probability is defined as the probability of an event occurring given that another event has occurred.

It is the probability of one event happening, given that we already know that another event has happened.

This type of probability is used when there is some additional information available that affects the likelihood of the event occurring.

For example, let's say we have a deck of cards with 52 cards in total, including 13 hearts. If we draw a card at random from the deck, the probability of getting a heart is 13/52 or 1/4.

However, if we know that the first card drawn was a heart and not replaced, the probability of drawing another heart from the deck will change because there are now only 12 hearts left out of 51 cards.

The probability of drawing another heart in this case will be 12/51, which is a conditional probability.

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Answer:

if it were an equation it would be y = mx + b and B would be the y intercept and mx is slope.

Step-by-step explanation:

Hey there!

The y-intercept is

b

Remember Slope-Intercept form, where

m is the slope

b is the y-intercept

I hope you find my answer helpful.

Good luck!

Have a great day!

~Stars~