what are the coordinates to graph y=-2x-2

For all histograms, the area of a rectangle is proportional to the percentage of observations in the corresponding interval.

A histogram is a graphical representation of data that shows the distribution of a variable.

It consists of a series of rectangles, where the width of each rectangle represents a specific interval or class interval, and the height of each rectangle represents the frequency or count of observations within that interval.

The total area of all the rectangles in a histogram represents the total number of observations or the total frequency of the dataset.

Since the height of each rectangle represents the frequency, the area of each rectangle is determined by multiplying the width of the interval by its corresponding frequency.

In a well-constructed histogram, the area of each rectangle is directly proportional to the percentage of observations within the corresponding interval.

This means that the larger the area of a rectangle, the higher the percentage of observations in that interval. Similarly, the smaller the area of a rectangle, the lower the percentage of observations in that interval.

By calculating the area of each rectangle and comparing it to the total area of the histogram, we can determine the relative frequency or percentage of observations in each interval.

This allows us to visualize and analyze the distribution of the data and identify patterns or trends within the dataset.

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Mean = 54.52

V(X) = 3.2712

S.D = 1.8086

To calculate the mean (expected value) of a binomial distribution B(n, p) you need to multiply the number of trials n by the probability of successes p , that is: mean = n × p

Where, n= 58

p = 0.94

Therefore, mean = 54.52

To find the Variance of the given binomial distribution

Variance = np(1-p)

=58 X 0.94 ( 1- 0.94)

= 54.52 X 0.06

V(X) = 3.2712, when we know the variance and the mean then we can calculate the standard deviation easily

To find the standard deviation of the given binomial experiment = \(\sqrt{np(1-p)}\)

= \(\sqrt{3.2712}\)

S.D = 1.8086

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Using Distributive Property, the two expressions that is equal to 72 are

3(10+14) and 4(5+13).

What are expressions exactly?

In mathematics, expressions are mathematical claims that consist of at least two sentences that contain numbers, variables, or both, and are linked by an operator in between. The operations includes sum, Difference, multiplication, and division. For instance, x + y is an equation in which the words x and y are separated by an addition operator. In mathematics, there are two types of expressions: numerical expressions, which include only numbers, and algebraic expressions, which contain both numbers and variables.

Now,

The expressions using distributive property can be

3(10+14)=3*10+3*14

            =30+42

            =72

4(5+13)=4*5+4*13

            =20+52

           =72

Hence,

            the two expressions that is equal to 72 are 3(10+14) and 4(5+13).

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Using Chebyshev's Theorem, we are guaranteed to find at least 75% of the people earning hourly wages between $4.15 and $23.23.

When the distribution is not normal, Chebyshev's Theorem is used. It states that:

In this problem, we want the values within 2 standard deviations of the mean, hence the values are:

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Answer:

F = FALSE

T = TRUE

A-F

B-T

C-T

D-F

E-T

F-F

G-F

Step-by-step explanation:

I'm not sure how to explain this but I'm sure someone will help, sorry, have a great day

The probability of the message being "hi" given the ciphertext "st" is 0.

Consider a shift cipher with three possible messages, with a distribution of probabilities. The three possible messages are as follows:

Pr[M=‘hi’] = 0.3,

Pr[M=‘no’] = 0.2, and

Pr[M=’in’] = 0.5.

To solve this problem, we can use Bayes' theorem. We want to find the probability of the message being "hi" given the ciphertext "st".

Using Bayes' theorem, we have:

Pr[M=‘hi’ | C=‘st’] = Pr[C=‘st’ | M=‘hi’] * Pr[M=‘hi’] / Pr[C=‘st’]

We can break this down into three parts:

Pr[C=‘st’ | M=‘hi’]:

This is the probability that the ciphertext is "st" given that the message is "hi".

To find this probability, we need to encrypt the message "hi" using the shift cipher. If we shift each letter in "hi" by one (i.e., a becomes b, h becomes i, and i becomes j), we get the ciphertext "ij". Since "ij" does not contain the letter "s", we know that Pr[C=‘st’ | M=‘hi’] = 0.Pr[M=‘hi’]:

This is the probability of the message "hi", which is given as 0.3.Pr[C=‘st’]:

This is the probability of the ciphertext "st". We can find this probability by considering all the possible messages that could have been encrypted to produce "st".

There are three possible messages: "hi", "no", and "in". To encrypt "hi" to "st", we need to shift each letter in "hi" by two (i.e., a becomes c, h becomes j, and i becomes k). This gives us the ciphertext "jk".

To encrypt "no" to "st", we need to shift each letter in "no" by five (i.e., n becomes s and o becomes t). This gives us the ciphertext "st". To encrypt "in" to "st", we need to shift each letter in "in" by three (i.e., i becomes l and n becomes q). This does not give us the ciphertext "st", so we can ignore it.

Therefore, Pr[C=‘st’] = Pr[C=‘st’ | M=‘hi’] * Pr[M=‘hi’] + Pr[C=‘st’ | M=‘no’] * Pr[M=‘no’] = 0 + 0.2 * 1 = 0.2

Now we can plug in the values we have found:

Pr[M=‘hi’ | C=‘st’] = 0 * 0.3 / 0.2 = 0

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_______________________________

_______________________________

The total bill for servicing her car will be £112.8

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Mrs. Browns bill for servicing her car is £96 plus VAT.

And, VAT is charged at 17.5%.

Now,

Since, VAT is charged at 17.5%.

So, The VAT charge = 17.5% of £96

                                = 17.5 / 100 x £96

                                = £16.8

Hence, The total bill for servicing her car = £96 + £16.8

                                                                = £112.8

Thus, The total bill for servicing her car will be £112.8

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Answer:

Polygons are many-sided figures, with sides that are line segments. Polygons are named according to the number of sides and angles they have. 1)draw a line of 7 in 2) draw a line of 10 cm

hope that help a little

Step-by-step explanation:

For the interval estimation, the proper distribution to use is the d. t distribution with 24 degrees of freedom.

Proper distribution is one that integrates (inside the case of a chance density function for a continuous random variable) or sums (inside the case of a probability mass characteristic for a discrete random variable) to unity. In keeping with possibility theory, all possibility distributions should have this property.

A proper distribution function is a mathematical expression that describes the possibility that a system will tackle a specific fee or set of values. The conventional examples are associated with games of risk.

Distributions (or generalized features) are mathematical gadgets that permit the extension of the concept of the derivative to a miles larger class of (now not always non-stop) capabilities.

Disclaimer: The question is incomplete. Please read below to find the missing content.

Question: From a population that is normally distributed, a sample of 25 elements is selected and the standard deviation of the sample is computed. For the interval estimation of μ, the proper distribution to use is the

a. normal distribution

b. t distribution with 25 degrees of freedom

c. t distribution with 26 degrees of freedom

d. t distribution with 24 degrees of freedom

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Answer:

the answer is [1, infinity)

The value of x  when the average (arithmetic mean) of the five numbers x, 7, 2, 16, and 11 is equal to the median of the five numbers is 9 (Nine).

Median :  In data sets having an odd or even number of values, find the median. The median is the value that divides a data sample, a population, or a probability distribution's upper and lower halves in statistics and probability theory. It could be referred to as "the middle" value for a data set.

Arithmetic mean : The simplest and most popular way to measure a mean or average is the arithmetic mean. It simply entails adding up a collection of numbers, then dividing that total by the total number of numbers in the series.

Five numbers are x, 7, 2, 16, and 11—are provided.

Average = sum/5 = (x+36)/5

Median = (x+36)/5

The sum of the remaining four numbers is equal to 36/4 = 9

If x = 9, just the average and median will be 9.

middle position in the ascending order

2,7,9,11,16

The Median entry is nine.

Thus, x=9.

Thus, When the median of the five numbers—x, 7, 2, 16, and 11—is equal to the average (arithmetic mean) of the five numbers, the value of x is equal to 9. (Nine).

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Answer:

Step-by-step explanation:

The value of x when the average (arithmetic mean) of the five numbers x, 7, 2, 16, and 11 is equal to the median of the five numbers is 9 (Nine).

Median : In data sets having an odd or even number of values, find the median. The median is the value that divides a data sample, a population, or a probability distribution's upper and lower halves in statistics and probability theory. It could be referred to as "the middle" value for a data set.

Arithmetic mean : The simplest and most popular way to measure a mean or average is the arithmetic mean. It simply entails adding up a collection of numbers, then dividing that total by the total number of numbers in the series.

Five numbers are x, 7, 2, 16, and 11—are provided.

Average = sum/5 = (x+36)/5

Median = (x+36)/5

The sum of the remaining four numbers is equal to 36/4 = 9

If x = 9, just the average and median will be 9.

middle position in the ascending order

2,7,9,11,16

The Median entry is nine.

Thus, x=9.

Thus, When the median of the five numbers—x, 7, 2, 16, and 11—is equal to the average (arithmetic mean) of the five numbers, the value of x is equal to 9. (Nine).

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Answer:

14;50 hope this helps

Step-by-step explanation:

Answer:

y= .75x+5

Step-by-step explanation:

y is the total cost. x is the number of hours.

7.25= .75(3)+5

Answer:

(3x-4)(x+5)

Step-by-step explanation: First set up a diamond problem. Find what two numbers add to 60 since 3*20 and add to -11. That would be 15 and -4. Then draw a 2x2 box, and put in 3x^2 the -20, 15x and -4x. Then find the factors. Hope that helped! :)

Answer:

(3x+4)(x-5)

Step-by-step explanation:

The completed table with regards to terms of an expression are presented as follows;

     Condition      \({}\)              (6·x + 3) + (5·x - 4)            (-4·y - 16) - 8·y + 10 + 2·y

         Exactly 3 terms          N/A     \({}\)                              N/A

         Exactly 5 terms          N/A         \({}\)                          N/A

Includes a zero pair             No \({}\)                                   No

Uses distributive property   No                                    No

Includes a negative factor   No                                    

Has no like terms                False                                False

Condition       \(8 - \dfrac{1}{2} \cdot \left(4 \cdot x - \dfrac{1}{2} + 12\cdot x -\dfrac{1}{4} \right)\)  0.25·(8·m - 12) - 0.5·(-4·m + 2)

Exactly 3 terms       No                         \({}\)                    No

Exactly 5 terms       Yes                          \({}\)   \({}\)              No

Includes a zero pair No    \({}\)                         \({}\)              Yes

Uses the distributive property Yes            \({}\)             Yes

Includes a negative factor      Yes           \({}\)                Yes

Has no like terms                    No          \({}\)                  No

A mathematical expression is a collection of variables and numbers along with mathematical operators which are all properly arranged.

The details of the conditions in the question are as follows;

Terms of an expression

A term is a subunit of an algebraic expression which are joined together by operators such as addition or subtraction

Zero pair

A zero pair are two numbers that when added together have a zero result

Distributive property

The distributive property of multiplication states that the multiplication of a number or variable by an addend is equivalent to the sum of the multiplication of the number or variable and each member of the addend

Negative factor

A negative factor is a factor that has a negative sign prefix

Like terms

Like terms are terms consisting of identical variables with the same  powers of the variable

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Answer:

(a) 153.93804

(b) 615.75216

Step-by-step explanation:

(a) A=πr2

14 divided by 2 =7

=π*7 squared =153.93804

(b) A=πr2

28 divided by 2= 14

=π*14 squared=615.75216

Answer:

Step-by-step explanation:

2x+1=5

-1

2x=4/2

x=2

Answer:

2

Step-by-step explanation:

2x + 1 = 5

2x = 5 - 1

2x = 4

x = 4/2

x = 2

The given expression for the current in a 25 mH inductor is i(t) = 0 t < 0 and i(t) = 10 (1 – e-t) mA t > 0.

This means that the current through the inductor is initially zero and increases exponentially to a maximum value of 10 mA. The time constant for this circuit is 25 ms, which is determined by the product of the inductance and resistance in the circuit. The word count for this answer is 100 words.
The given expression describes the current in a 25 mH inductor. For t < 0, the current (i) is 0, indicating no current flow. For t > 0, the current (i) is given by the expression i(t) = 10(1 - e^(-t)) mA. This represents an exponential increase in current over time, as it reaches a steady state of 10 mA. The exponential factor (e^(-t)) shows how the current changes as time progresses. The 25 mH inductor value impacts the rate of this change. Overall, the expression provides a mathematical model of the current flow in the inductor during its charging phase.

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1. horizontal shrink by factor of 2/3 means multiply outside the f(x) or outside the x^2 by 2/3:

   (2/3)•f(x)

2. translation left 5 units means "x+5" inside:

   (2/3) • f(x+5)

3. tranlate down 2 units means "-2" outside:

      (2/3) • f(x+5) -2

or    (2/3) (x+5)^2 - 2

\(\frac{2}{3}\cdot f(x+5)-2\)   or   \(\frac{2}{3}\cdot (x+5)^2-2\)

The distribution of the number of aces in a five-card hand drawn at random from a well-shuffled standard deck can be calculated using the binomial probability formula. The binomial probability formula is:

P(X = k) = (nCk) * (p^k) * ((1-p)^(n-k))

where:
- n is the number of trials (in this case, 5 cards drawn)
- k is the number of successes (aces) we want to achieve
- nCk is the number of combinations of n items taken k at a time
- p is the probability of success (in this case, the probability of drawing an ace)
- 1-p is the probability of failure (in this case, the probability of not drawing an ace)

To compute the probability that the hand has exactly three aces, we can use the formula with k = 3:

P(X = 3) = (5C3) * (4/52)^3 * (48/52)^2

Step-by-step calculation:

1. Calculate 5C3 (combinations of 5 items taken 3 at a time): 5!/(3!*(5-3)!) = 10
2. Calculate the probability of drawing 3 aces: (4/52)^3 ≈ 0.000180175
3. Calculate the probability of drawing 2 non-aces: (48/52)^2 ≈ 0.806122
4. Multiply the results: 10 * 0.000180175 * 0.806122 ≈ 0.00145343

The probability that the hand has exactly three aces is approximately 0.00145 or 0.145%.

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The equation\($f(x)=-f(x)$ has $\boxed{3}$\) solutions.

Graphs and charts are effective visual tools because they present information quickly and easily. It is not surprising then, that graphs are commonly used by print and electronic media. Sometimes, data can be better understood when presented by a graph than by a table because the graph can reveal a trend or comparison.

Since\($f(x) = -f(x)$\) means that\($f(x)$\) is equal to its own opposite, this equation is equivalent to\($f(x) = 0$\), which means we are looking for the number of solutions to\($y=f(x) = 0$.\)

From the graph, we see that\($f(x) = 0$\) has three solutions, where the graph crosses the\($x$-axis\). Therefore, the equation \($f(x) = -f(x)$\)has \($\boxed{3}$\)solutions.

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Since we know that the heptagon is convex, all of its interior angles are less than 180 degrees. Let's call the smallest angle x degrees.

According to the problem, the other six angles are each 1 degree larger than the angle just smaller than it. This means the second angle is x+1, the third angle is x+2, and so on, until we get to the seventh angle which is x+6.

We know that the sum of the interior angles of a heptagon is (7-2) * 180 = 900 degrees. So we can set up an equation:

x + (x+1) + (x+2) + (x+3) + (x+4) + (x+5) + (x+6) = 900

Simplifying this equation, we get:

7x + 21 = 900

Subtracting 21 from both sides:

7x = 879

Dividing both sides by 7:

x = 125.57

So the smallest angle is approximately 125.57 degrees.

To find the fourth largest angle, we need to find the value of x+3.

x+3 = 125.57 + 3 = 128.57

So the fourth largest angle is approximately 128.57 degrees.

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Answer:

1. 1 in 26

2. 1 in 36

3. 1 in 50

Step-by-step explanation:

6×10

=60

niceeeeeeeeeeee

By factoring, we find two solutions: r = -2 and \(\(r = \frac{12}{5}\).\) To solve the equation \(\(5r^2 - 26r = 24\)\) by factoring, we need to rearrange the equation to equal zero and then factor the quadratic expression.

Explanation: To solve the equation \(\(5r^2 - 26r = 24\)\) by factoring, we first rearrange it to bring all terms to one side, resulting in the quadratic expression \(\(5r^2 - 26r - 24 = 0\)\). Next, we look for two numbers that multiply to give the product of the coefficient of \(\(r^2\)\) (which is 5) and the constant term (which is -24), and add up to give the coefficient of \(r\) (which is -26).

In this case, the numbers that satisfy these conditions are -2 and 12. We can rewrite the quadratic expression as ((5r + 12)(r - 2) = 0) by factoring out the common factors. Now, we set each factor equal to zero and solve for \(r\).

First, setting (5r + 12 = 0), we get \(\(r = -\frac{12}{5}\).\)

Next, setting (r - 2 = 0), we find (r = 2).

Therefore, the solutions to the equation are \(\(r = -2\)\) and \(\(r = \frac{12}{5}\)\).

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Answer:

Step-by-step explanation:

it’s ask a freind

Hey there!

In order to factorise an expression, we need to factor out the greatest common factor (divide all the terms in the expression by the greatest common factor):

6ac-4ad

In this case, the greatest common factor is 2a.

Put it outside the parentheses:

2(3c-2d)

That's the answer.

Hope everything is clear.

Let me know if you have any questions!

#LearningDoesn'tEnd

:-)

Answer:

3

Step-by-step explanation:

Hope this helps

Pls mark brainliest

Answer: 126

Step-by-step explanation:

First we know that 5 hours = 90$, so we divide 90 and 5 which equals 18.
Then we do 18 x 7= 126.

Answer: 126

Answer:

2⁴ x 3 x 5²

Step-by-step explanation:

1200

600 2

300 2

150 2

50 3

25 2

5 5

2⁴ x 3 x 5²

Answer:

a=3

b=2

Step-by-step explanation:

P(x) = ax^2 + bx + 1

P(1)= 6

6= a(1)^2 + b(1) +1

6 = a +b+1

6-1 = a+b

5 = a+b

P(-1) = 2

2 = a( -1)^2 + b(-1) +1

2 = a(1) -b +1

2-1 = a-b

1 = a+b

We have 2 equations and 2 unknowns

Add the two equations together

5 = a+b

1 = a-b

----------------

6 = 2a

Divide by 2

6/2 = 2a/2

3 =a

Now find b

5 =a+b

5 =3+b

Subtract 3 from each side

5-3 =3+b-3

2=b