Bobby catches 8 passes in 3 football games. At this rate how many passes dose he catch in 15 games?expine

The centre line of a control chart is calculated by computing the average (mean) of the data for every period.

In control chart analysis, the centre line represents the central tendency or average value of the process being monitored. It is typically obtained by calculating the mean of the data points collected over a specific period. The purpose of the centre line is to provide a reference point against which the process performance can be compared. Any data points falling within acceptable limits around the centre line indicate that the process is stable and under control.

The calculation of the centre line involves summing up the values of the data points and dividing it by the number of data points. This average is then plotted on the control chart as the centre line. By monitoring subsequent data points and their distance from the centre line, deviations and trends in the process can be identified. Deviations beyond the control limits may indicate special causes of variation that require investigation and corrective action. Therefore, the centre line is a critical element in control chart analysis for understanding the baseline performance of a process and detecting any shifts or changes over time.

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Answer:             5

Step-by-step explanation: because

Answer:

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

\(\Large \boxed{\sf y = - 2x + 9}\\\\\sf Use\ the\ slope\ formula\ to\ find\ the\ slope\\ using\ two\ points\ from\ the\ graph.\\\\(0,9)\ and\ (4.5,0)\\\\\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}=\frac{0-9}{4.5-0} =-2\\\\The\ line\ intercepts\ at\ the\ y-axis\ at\ (0,9).\\ The\ y-intercept\ is\ b=9.\\\\ y=mx+b\\y=-2x+9\)

Answer:

angle F

Step-by-step explanation:

so they want an angle that's on the SAME SIDE as angle D. angle C is on the opposite side of the transversal.

Angle E would be alternate interior, not same side interior.

angle B is supplementary to angle D

therefore, the answer is F

The decision between the two cities involves tradeoffs: the first city offers a wide range of class sizes but a smaller sample, while the second city has a larger sample but a narrower class size range.

The decision of which city to choose for the study involves tradeoffs. The first city allows for a wide range of class sizes, providing a comprehensive analysis of the relationship between class size and academic performance. However, the smaller sample size limits generalizability.



The second city offers a larger sample size, increasing generalizability, but with a narrower range of class sizes. Researchers should consider their specific research objectives, available resources, and constraints. If the goal is to assess the impact of extreme variations in class size, the first city is suitable. If obtaining highly generalizable results is paramount, the second city, despite the narrower range, should be chosen.



Therefore, The decision between the two cities involves tradeoffs: the first city offers a wide range of class sizes but a smaller sample, while the second city has a larger sample but a narrower class size range.

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Answer:

Super Hyper Ultra Ultimate Deluxe Perfect Amazing Shining God 東方不敗 Master Ginga Victory Strong Cute Beautiful Galaxy Baby 無限 無敵 無双 senchou here, thank you for the points :D

Step-by-step explanation:

The converse of the statement "If a figure is a square, its diagonals divide it into isosceles triangles" would be:

"If a figure's diagonals divide it into isosceles triangles, then the figure is a square."

The converse statement is not necessarily true. While it is true that in a square, the diagonals divide it into isosceles triangles, the converse does not hold. There are other shapes, such as rectangles and rhombuses, whose diagonals also divide them into isosceles triangles, but they are not squares. Therefore, the converse of the statement is not always true.

Therefore, the converse of the given statement is not true. The existence of diagonals dividing a figure into isosceles triangles does not guarantee that the figure is a square. It is possible for other shapes to exhibit this property as well.

In conclusion, the converse statement does not hold for all figures. It is important to note that the converse of a true statement is not always true, and separate analysis is required to determine the validity of the converse in specific cases.

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Question 3: True

Question 4: False

Question 5: True

If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c.

This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.

Question 3: If f'(c) < 0 then f(x) is decreasing and the graph of f(x) is concave down when x = c.

True

When the derivative of a function, f'(x), is negative at a point c, it indicates that the function is decreasing at that point. Additionally, if the second derivative, f''(x), exists and is negative at x = c, it implies that the graph of f(x) is concave down at that point.

Question 4: A local extreme point of a polynomial function f(x) can only occur when f'(x) = 0.

False

A local extreme point of a polynomial function can occur when f'(x) = 0, but it is not the only condition. A local extreme point can also occur when f'(x) does not exist (such as at a sharp corner or cusp) or when f'(x) is undefined. Therefore, f'(x) being equal to zero is not the sole requirement for a local extreme point to exist.

Question 5: If f'(x) > 0 when x < c and f'(x) < 0 when x > c, then f(x) has a maximum value when x = c.

True

If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c. This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.

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Answer: the 3rd one

Step-by-step explanation:

Answer:

255,000

Step-by-step explanation:

if we look there is already 254,000 so now we look at the hundreds place.

In the hundreds place there is 920 witch is closer to 1,000

so 254,000 plus 1,000 is 255,000

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Answer:

They are the same

Step-by-step explanation:

A to B is 3cm = S to T is 3cm

B to C is 4.5 cm = T to U is 4.5 cm

A to C is 110 degrees = U to S is 110 degrees

you can also just rotate the STU to make ABC

The formal notation for the distribution of the continuous random variable Z in this case is Z ~ N(15, 49).

In formal notation, the distribution of the continuous random variable Z can be written as Z ~ N(μ, σ^2), where N represents the normal distribution, μ represents the mean, and σ^2 represents the variance.

Given that Z has a mean of 15 and a standard deviation of 7, we know that μ = 15 and σ = 7. The variance can be calculated as σ^2 = 49.

Thus, the formal notation for the distribution of the continuous random variable Z in this case is Z ~ N(15, 49).

This means that the values of Z are normally distributed around the mean of 15, with the spread of the distribution determined by the standard deviation of 7. This notation is commonly used in probability theory and statistics to represent the properties of a given random variable.

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The distribution of the continuous random variable z with a mean of 15 and a standard deviation of 7 can be written as:
z ~ N(15, 49)
where N represents the normal distribution, 15 represents the mean, and 49 represents the variance (which is equal to the square of the standard deviation).
In this case, the mean (µ) is 15 and the standard deviation (σ) is 7. Therefore, the formal notation for this distribution is:

z ∼ N(µ, σ²)

where N represents a normal distribution. Plugging in the given values, we get:

z ∼ N(15, 7²)

So the distribution can be written as:

z ∼ N(15, 49)

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Answer:

Step-by-step explanation:

hope this helps!

There are 5,040 different ways that the first seven students in line can be ordered.

An arrangement is a permutation of a set of objects in mathematics where the order of the things is important. An arrangement is specifically an orderly succession of unique elements drawn from a set.

Consider the set "A, B, C," for instance. This set can be arranged in six different ways: ABC, ACB, BAC, BCA, CAB, and CBA. The three components of the set are stated in a precise order in each of these configurations.

The number of ways that 7 students can be arranged in a line is 7! (7 factorial) which is equal to:

7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5,040

Therefore, there are 5,040 different ways that the first seven students in line can be ordered.

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\({ \red{ \boxed{ \sf{ \sqrt{344} \: units}}}}\)

Step-by-step explanation:

Let, (9, 3) = (x1, y1) and (21, 23) = (x2, y2)

By using distance formula, we can find the answer. Let us use the formula and get answer fast.

\({ \sf{d = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}\)

Substitute all the values in this above formula.

\({ \sf{d = \sqrt{ {(21 - 9)}^{2} + {(23 - 3)}^{2} }}} \)

\({ \sf{d = \sqrt{ {(12)}^{2} + {(20)}^{2} }}} \)

\({ \sf{d = \sqrt{144 + 200}}} \)

\({ \sf{d = \sqrt{344} \: units}} \)

Answer:

C

Step-by-step explanation:

It's the only graph that doesn't constantly have its y value increasing the same value each time.

(2 to 6 is +4, 6 to 10 is +4, but 10 to 16 is not +4)

Answer:

C

Step-by-step explanation:

Because you see from Point (-4, 2) to (0,6), the y increases by 4, and the x increase by 4. Same thing from (0,6) to (4,10). But from (4,10) to (8,16) the y increase by 6 so it is the wrong slope.

Answer:

1

best answer ever be amazing

1085 different combination of 3 movie she can rent.

What is linear equations?

Linear equations is a type of equation that is in between two variables that gives a straight line.

The calculation of  number of different combinations of 3 films she can rent if she needs at least two documentaries is shown below:-

=N×(2× documentry and 1 horror movies)+N×(3 documentry)

=(6C1)×(15C2)+(6Co)×(15C3)

= 630 + 455

= 1,085

Therefore for calculating the number of different combinations of 3 films she can rent if she needs at least two documentaries we simply applied the above formula and here we consider one number in the question as it shows the double number.

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When analyzing data, the statistical method used is essential. Multinomial distribution is one of the statistical distributions used to model categorical data. It is an extension of the binomial distribution, which is a distribution that models two outcomes only. In contrast, multinomial distribution models three or more categorical outcomes.

When statistical dependence is assumed, the probability of each cell in the table is calculated using the formula:

P(i,j) = (Ri * Cj)/N
where:
P(i,j) = the probability of the cell in row i and column j
Ri = the number of observations in row i
Cj = the number of observations in column j
N = the total number of observations

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The graph of f(t) = cos^-1(t) will be a periodic function with a range limited to the interval [-1, 1]. Since the function is defined for the entire period, there are no discontinuities in this case. The graph of f(t) will resemble a curve that oscillates between -1 and 1, centered around the y-axis. The Fourier series for f(t) can be found by calculating the coefficients of the harmonics.

1. The function f(t) = cos^-1(t) has a limited range of [-1, 1] and is defined for the entire period.

2. Since there are no discontinuities, we don't need to apply the average value condition mentioned in (13).

3. To find the Fourier series of f(t), we need to calculate the coefficients for each harmonic term.

4. The general form of a Fourier series for a periodic function f(t) is given by:

  f(t) = a0 + Σ(an*cos(nωt) + bn*sin(nωt)), where ω is the angular frequency.

5. Since f(t) is an even function, the bn coefficients will be zero.

6. The constant term a0 can be found by taking the average of f(t) over one period, which is (2/π) multiplied by the integral of f(t) from -π to π.

7. The coefficients an can be calculated using the formula: an = (2/π) * integral of f(t)*cos(nωt) from -π to π.

8. Substitute the expression for f(t) = cos^-1(t) into the formula for an and integrate to find the values of an for each harmonic term.

9. The Fourier series of f(t) will then be the sum of the constant term a0 and the series of the an*cos(nωt) terms.

10. Sketch the graph of f(t) using the calculated Fourier series coefficients to visualize the function.

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Applying the definition of perpendicular bisector, the value of x is: 10.

A perpendicular bisector can be defined as any line segment that bisects another line segment. That is, it divides another line segment into two equal parts having the same length.

Since AD is the perpendicular bisector of BD, then, BD = DC.

BD = 5x - 10

DC = 3x + 10

Substitute

5x - 10 = 3x + 10

Combine like terms

5x - 10 + 10 = 3x + 10 + 10 [addition property of equality]

5x = 3x + 20

5x - 3x = 3x + 20 - 3x [subtraction property of equality]

2x = 20

Divide both sides by 2

2x/2 = 20/2 [division property of equality]

x = 10

The value of x is 10.

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We can actually deduce here that the type of measurement scale that is used for operating system is: Nominal scale.

A nominal scale is actually known to be a measurement scale whereby numbers are used as “tags” or “labels” only in order to identify, locate or classify an object.

This measurement scale actually deals only with non-numeric variables. It can be used where numbers have no value.

Other measurement scales include:

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Answer:

x < -8

Step-by-step explanation:

Step 1: Divide both sides by -0.5 and flip the inequality sign.

Therefore, the answer is x < -8.

The probability that the mean amplifier output would be less than 421.4 watts in a sample of 43 amplifiers is 0.0368.

We can use the Z-score formula to calculate the probability that the mean amplifier output would be less than 421.4 watts in a sample of 43 amplifiers.

The Z-score formula is: Z = (x - μ) / σ

Where x is the sample mean, μ is the population mean, and σ is the standard deviation.

We can plug in the given values to calculate the probability.

x = 421.4, μ = 422, and σ = 10

Z = (421.4 - 422) / 10 = -0.1

Using the Z-score table, we can find that the probability of the mean amplifier output being less than 421.4 watts is 0.0368. Therefore, the probability that the mean amplifier output would be less than 421.4 watts in a sample of 43 amplifiers is 0.0368.

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Answer: Hope this helps you.

-2

Step-by-step explanation:

y = mx+b (B is y-int)

y = 4^x-2

-2 is clearly replacing the b (y-int) meaning b, the y-int, is -2

\(y = {4}^{x} - 2 \\ for \: y \: intercept \: x \: s \\ is \: 0 \\ y = {4}^{0} - 2 \\ y = 1 - 2 \\ y = - 1 \\ \)

Y intercept : (0,-1)

Hope it helps

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Answer:

63

Step-by-step explanation:

\frac{x}{72} =\frac{7}{8} \\x=\frac{7}{8} \times 72=63

Given :

Number of gallons in the aquarium after 14 minutes = 5.6 gallons

Time taken = 14 minutes

Rate at which Jerry is filling the bucket :

Rate = 0.4 gallons per mins

Answer:

36

Step-by-step explanation:

9     4

18    8

27   12

36*  16

      20

      24

       28

       32

       36*

36 is the least common denominator.

9 x 4 = 36

1/4 = 9/36

5/9 = 20/36

The slopes of each pair when analyzed shows us that; first is parallel; second and third are perpendicular and fourth is neither.

The general form of an equation in slope intercept form is;

y = mx + c

where m is the slope

1) The first pair shows that;

y = 6x/5 - 8/5

y = 6x/5 - 5

The slope in both cases is the same and so they are parallel.

2) The second pair of equations shows that;

y = (1/2)x + (1/2)

y = -2x - 5

Both slopes are negative reciprocals of each other and so they are perpendicular.

1st and 3rd box is for perpendicular

3) The third pair of equations shows that;

y = (5/7)x + (8/7)

y = -(7/5)x + 10

Both slopes are negative reciprocals of each other and so they are perpendicular.

1st and 3rd box is for perpendicular.

4) The third pair of equations shows that;

y = 2x + 5

y = 3x + 4

Both slopes are neither parallel nor perpendicular to each other.

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The solution is: the following defines slope, the answer will be A,D and F.

The formula to calculate the slope is

m = y2-y1/x2-x1

A is right.

then, we have,

also, the slope can be calculated with rise and run

i.e. rise over run

m = rise/run

the correct formula is B.

and also apply F

ratio of change in y values (rise) for a segment of the graph to the corresponding change in x values (run)

F is correct.

the answer will be A,D and F.

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is she clear?  we dunno, but we know she scored 50 of 120.

if we take 120(origin amount) to be the 100%, what's 50 off of it in percentage?

\(\begin{array}{ccll} Amount&\%\\ \cline{1-2} 120 & 100\\ 50& x \end{array} \implies \cfrac{120}{50}~~=~~\cfrac{100}{x} \implies \cfrac{ 12 }{ 5 } ~~=~~ \cfrac{ 100 }{ x } \implies 12x=500 \\\\\\ x=\cfrac{500}{12}\implies x=\cfrac{125}{3}\implies x=41\frac{2}{3}\qquad \textit{yeap, Mary is clear \checkmark}\)