PLEASE HELP ME I REALLY NEED TO GET MY GRADE UP I INCLUDED THE GRAPH WITH THE QUESTION!!!
Graph f(x) = -2/3x -3
Use the line tool and select two points to graph the line.

Answer:

Weak Positive Correlation

Step-by-step explanation: I think that’s correct not 100 percent sure

The strength of the linear association between the height and the length of these rectangles is option A. Weak negative correlation.

In this, the both variables should be response to one another here the relationship is not so strong.

So the  correlation coefficient for the data  that represent the linear relationship between the height and length should be weak

hence, the option a is correct.

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Answer:

Fractions that are equal to 6/8 are 3/4, 24/36, and 42/56

Step-by-step explanation:

Answer:

3/4, 12/16,

these are all I can think of

steps:

6/8 divided by 2 =3/4. 6 divided by 2 = 3. 8 divided by 2 = 4. 3/4

6/8 times 2 =12/16. 6 times 2 = 12. 8 times 2 =16. 12/16

multiply and divide numerator and denominator by the same number

The given manufacturing process has a CpK value of 0.4, which indicates that it is not capable of meeting the requirement of producing protein bars with a weight of 17.5 ounces.

Explanation:

The CpK (Process Capability Index) value is a measure of how well a process is capable of meeting the specifications or requirements. It takes into account both the process mean and the variability of the process. A CpK value of 1 indicates that the process is capable of meeting the requirement, while a CpK value less than 1 indicates that the process is not capable of meeting the requirement.

In this case, the process mean is 18 ounces and the standard deviation is 2.5 ounces. To find the CpK value, we need to calculate the upper and lower specification limits. Since the requirement is to produce protein bars with a weight of 17.5 ounces, and the requirement is at -2.5 from the process mean, the lower specification limit would be 18 - 2.5 = 15.5 ounces. The upper specification limit would be 18 + 2.5 = 20.5 ounces.

The CpK value can be calculated using the formula:

CpK = min((USL - mean)/3σ, (mean - LSL)/3σ)

where USL is the upper specification limit, LSL is the lower specification limit, σ is the standard deviation, and mean is the process mean.

Substituting the values, we get:

CpK = min((20.5 - 18)/(3 × 2.5), (18 - 15.5)/(3 × 2.5))

= min(0.4, 0.4)

= 0.4

Since the CpK value is less than 1, the process is not capable of meeting the requirement of producing protein bars with a weight of 17.5 ounces. Therefore, the company needs to improve its manufacturing process to meet the requirements.

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Answer:

y=64

Step-by-step explanation:

3y /4 =48

( 3y 4 )*(4)=(48)*(4)

3y=192y

3y/3=192/3  =y=64

The representation of Matt's reading the book is an illustration of unit rates

The best representation of the rate is (b) Matt reads 66 pages per hour

The given parameters are:

Pages = 792 pages

Time = 12 hours

The rate is then calculated as:

Unit Rate = Pages/Time

This gives

Unit Rate = 792/12

Evaluate the quotient

Unit Rate = 66

This means that Matt reads 66 pages per hour

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We have shown that if zo is a zero of a linear phase filter, then zo¹ = zo + Δz is also a zero. This holds true because the linear phase property ensures that the filter's phase response varies linearly with frequency, and hence, any frequency offset from zo will yield a corresponding zero in the transfer function.

For a linear phase filter, the phase response is linearly proportional to the frequency. Let's consider a linear phase filter with a zero at frequency zo. The transfer function of the filter can be expressed as H(z) = A(z - zo), where A is a constant and z represents the complex frequency variable.

To find the zero at zo¹, we need to analyze the filter's transfer function at a frequency offset from zo. Let's substitute z with (z - Δz) in the transfer function, where Δz represents a small frequency offset. The new transfer function becomes H(z - Δz) = A((z - Δz) - zo).

Now, let's evaluate the new transfer function at the frequency zo¹ = zo + Δz. Substituting zo¹ into the transfer function, we have H(zo¹ - Δz) = A((zo¹ - Δz) - zo).

Expanding the equation, we get H(zo¹ - Δz) = A(zo¹ - Δz - zo) = A(zo - zo + Δz - Δz) = A(0) = 0.

Therefore, we have shown that if zo is a zero of a linear phase filter, then zo¹ = zo + Δz is also a zero. This holds true because the linear phase property ensures that the filter's phase response varies linearly with frequency, and hence, any frequency offset from zo will yield a corresponding zero in the transfer function.

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The sum of the series 2 + 4 + 6 + 58 can be expressed using sigma notation as Σ(i = 1 to 4) 2i, which simplifies to 20.

The first term of the series is 2, the second term is obtained by adding 2 to the first term (2 + 2 = 4), the third term is obtained by adding 2 to the second term (4 + 2 = 6), and so on. Finally, the last term of the series is 58.

Now, let's express this series using sigma notation:

Σ(i = 1 to n) 2i

In the above notation, the Greek letter sigma (Σ) represents the sum. The variable i is the index of summation, which starts at 1 and goes up to n. In this case, n represents the number of terms in the series.

The expression 2i represents the terms of the series. As i increases from 1 to n, the value of 2i increases accordingly. For example, when i = 1, 2i = 2. When i = 2, 2i = 4, and so on.

To find the sum of the series using sigma notation, we substitute the values of the index of summation into the expression 2i and add up the terms:

Σ(i = 1 to n) 2i = 2(1) + 2(2) + 2(3) + ... + 2(n)

For our specific series, we have:

Σ(i = 1 to 4) 2i = 2(1) + 2(2) + 2(3) + 2(4)

Simplifying this expression, we get:

2 + 4 + 6 + 8 = 20

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Answer:

x= -0.01984

Step-by-step explanation:

You divide both sides by 3125 to get x alone.

You get x=-0.01984

Hope this helps!

The population decreased by 5,400 people from 2015 to 2020.

Also known as population decline, means the reduction in a human population size

Population in 2015 = Population in 2010 + Growth from 2010 to 2015

Population in 2015 = 167,000 + (8% of 167,000)

Population in 2015 = 167,000 + 13,360

Population in 2015 = 180,360

Population in 2020 = Population in 2015 - Decrease from 2015 to 2020

Population in 2020 = 180,360 - (3% of 180,360)

Population in 2020 = 180,360 - 5,411.8

Population in 2020 = 174,948.2

The population decrease from 2015 to 2020 is:

= Population in 2015 - Population in 2020

= 180,360 - 174,948.2

= 5,411.8

= 5,400 to nearest 100 people.

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The confidence interval estimate for an average value of y (in a linear regression model) will be narrower than the confidence interval estimate for a particular value of y.

This is because when we estimate the average value of y, we are estimating the mean of the distribution of y values for a given set of predictor variables, whereas when we estimate a particular value of y, we are estimating a single point on the distribution.

Since the distribution of y values is likely to be spread out, the uncertainty in our estimate of a particular value of y will be greater than the uncertainty in our estimate of the mean value of y.

In addition, when we estimate the average value of y, we can take advantage of the central limit theorem, which states that the distribution of the mean of a large number of independent and identically distributed random variables will be approximately normal, regardless of the shape of the distribution of the individual variables.

This allows us to use the t-distribution to construct a confidence interval, which is typically narrower than the confidence interval we would use to estimate a single value of y.

Overall, the interval estimate for an average value of y will be narrower and more precise than the interval estimate for a particular value of y, provided that the sample size is large enough and the assumptions of the linear regression model are met.

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Answer:

Formula for arc length is;

\(\frac{\theta}{360}*2\pi r\\\)

Step-by-step explanation:

\(\frac{\theta}{360}*2\pi r\\\)

\(\frac{210}{360}*2\pi *11yd\)

so arc length is;

\(\frac{77\pi }{6}yd\)

Answer:

C. 3^9

Step-by-step explanation:

You would simply just add the exponents.

Answer:

3^9

Step-by-step explanation:

5+4=9

Answer:

x=4

Happy I could help

Answer:

112 pizzas

Step-by-step explanation:

There are 60 minutes in an hour, means that Sal's pizza shop can make 28 pizzas an hour. Multiply this by 4 to get 112

Answer:112

Step-by-step explanation: I got you Breh

You see first you divide 4 hours by 15 minutes and you get 16 minutes.

To confirm that you can do 16 x 15 and it would be 240, and 4 hours is 240 miniutes.

Now you multiply 16 by 7 and you get 112

Hope this helps

Answer:

11.66

Step-by-step explanation:

10^2 + 6^2 = Z^2

100 + 36 = Z^2

136 = Z^2

sqrt(136) = Z

sqrt 136 = 11.66

Jessie has an income of $1200 to spend on two goods X and Y. The marginal utility of both goods is calculated using the formula\(MU = fracDelta text\) Total UtilityDelta textQuantity. If the marginal utility of good X is greater than the marginal utility of good Y, Jessie should allocate more of her budget towards good X than good Y.

A consumer, Jessie, has an income of $1200 to spend on two goods X and Y, where good Y is the composite good (therefore priced at $1 per unit). Good X firstly has a price of $6 per unit. Good X is the optimal good for Jessie when Jessie spends her entire income. Initially, Jessie must set her budget constraint that relates to the total income of $1200 she has to spend on two goods X and Y. The amount of money that Jessie spends on good X is given by the expression (6X). Similarly, the amount of money Jessie spends on good Y is given by the expression (1Y).Thus, we can write the budget constraint as:\(\[6X + 1Y = 1200\]\)Solving this equation for Y:\(\[Y = 1200 - 6X\]\)

Now, let's calculate the marginal utility of each good. Marginal utility can be calculated using the following formula:

\(\[MU = \frac{\Delta \text{Total Utility}}{\Delta \text{Quantity}}\]\)

The marginal utility of good X can be expressed as:

\(\(\[\begin{aligned} MU_X &= \frac{\Delta TU_X}{\Delta X} \\ &= \frac{MU_X}{1} \end{aligned}\]\)

The marginal utility of good Y can be expressed as:

\(\[\begin{aligned} MU_Y &= \frac{\Delta TU_Y}{\Delta Y} \\ &= MU_Y \end{aligned}\]\)

If the marginal utility of good X is greater than the marginal utility of good Y, then the consumer would allocate more of her budget towards good X than good Y. Conversely, if the marginal utility of good Y is greater than the marginal utility of good X, then the consumer would allocate more of her budget towards good Y than good X.

Therefore, if MUx > MUy, then Jessie should consume more of good X and if MUy > MUx, then Jessie should consume more of good Y.In order to calculate marginal utility, we require total utility values for each good at different quantities of consumption. Therefore, we need the data for the total utility of both goods X and Y which is not given in the question.

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The probability that in a randomly selected year, the number of lightning strikes is 4, is 0.098.

What is Poisson distribution?

The Poisson distribution refers to a probability distribution expressing the probability of a specific number of events occurring in a fixed interval of time, if these events occur with a known constant mean rate and independent of the occurrence of the last event.

P(E) = Probability of occurrence of E in a fixed interval 'x', with constant mean = \(\frac{e^{-mean}. mean^{x}}{x!}\)

Step-by-step explanation:

Let A be the number of lightning strikes in a year at the top of particular mountain. Here, A follows Poisson distribution with mean = 2.1.

According to the question, x = 4, mean = 2.1

Thus, putting it in the formula for Poisson distribution, we get:

P(A) = \(\frac{e^{-2.1}(2.1)^{4} }{4!}\) = \(\frac{0.122(19.44)}{24}\) = 0.098

=> P(A) = 0.098

Hence, the probability that in a randomly selected year, the number of lightning strikes is 4, is 0.098.

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Answer:

Round, no vertices, has a radius, closed 2 dimensional shape.

Step-by-step explanation:

The diameter of the spherical tank that holds 9000ft³ of water is 25.81 ft.

A diameter is a line that divides a circle into two equal parts.

To calculate the diameter of the tank, we use the formula below.

Formula:

Making d the subject of the equation,

Where:

From the question,

Given:

Substitute these values into equation 2

Hence, the diameter of the tank is 25.81 ft.

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Answer: 9.7 seconds

Step-by-step explanation:

\(16t^2=1503\\\\t^2 =\frac{1503}{16}\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7\)

Answer:

see explanation

Step-by-step explanation:

Using the Pythagorean identity

sin²θ + cos²θ = 1 ( divide terms by sin²θ )

\(\frac{sin^20}{sin^20}\) + \(\frac{cos^20}{sin^20}\) = \(\frac{1}{sin^20}\) , that is

1 + cot²θ = cosec²θ ← as required

A perfect positive correlation means that every time factor A occurs, factor B also occurs.

In statistics, correlation refers to the relationship between two variables. A perfect positive correlation means that as one variable increases, the other variable also increases in a consistent and linear manner.

In the case of a perfect positive correlation, every time factor A occurs (increases), factor B also occurs (increases) simultaneously. The occurrence of factor B is directly and consistently related to the occurrence of factor A.

For example, let's consider the relationship between studying time and exam scores. If there is a perfect positive correlation between these two factors, it means that every time a student spends more time studying, their exam scores also increase in a predictable and proportional manner.

It's important to note that a perfect positive correlation does not necessarily imply causation. While the two variables are strongly associated, it does not indicate that one variable directly causes the other. Correlation simply describes the relationship between the variables.

In summary, a perfect positive correlation means that whenever factor A occurs, factor B also occurs, demonstrating a consistent and linear relationship between the two variables.

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Answer:

A

Step-by-step explanation:

Specifically, the various types of vascular plants are classified by whether they produce spores or seeds to make new plants. Vascular plants that reproduce by seed evolved highly specialized tissue that helped them spread across the land

Answer:

= -2/7

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

    = ( 6-14)/(13 - -15)

    = (6-14)/(13+15)

    = -8/28

   = -2/7

To find a function that satisfies the given criteria, we can start by determining the requirements for its derivative, f'(x).

Let's break down the given properties and find the corresponding requirements for f'(x): f(x) is decreasing at x = -6: This means that the slope of the function should be negative at x = -6. Therefore, f'(-6) < 0. f(x) has a local minimum at x = -3: At a local minimum, the slope changes from negative to positive. Thus, f'(-3) = 0. f(x) has a local maximum at x = 3: At a local maximum, the slope changes from positive to negative. Hence, f'(3) = 0.

Now, let's integrate f'(x) to obtain f(x): Integrating f'(x) = -6 < x < -3 will give us a decreasing function on that interval. Integrating f'(x) = -3 < x < 3 will give us an increasing function on that interval. Integrating f'(x) = 3 < x < 6 will give us a decreasing function on that interval. To simplify the process, let's assume that f'(x) is a quadratic function with roots at -6, -3, and 3. We can represent it as: f'(x) = k(x + 6)(x + 3)(x - 3), where k is a constant that affects the steepness of the curve. By setting f'(-3) = 0, we find that k = -1/18.

Therefore, f'(x) = -1/18(x + 6)(x + 3)(x - 3). Integrating f'(x) will give us f(x): f(x) = ∫[-6,x] -1/18(t + 6)(t + 3)(t - 3) dt. Evaluating this integral is a bit complicated. Let's denote F(x) as the antiderivative of f(x): F(x) = ∫[-6,x] -1/18(t + 6)(t + 3)(t - 3) dt. Now, we can find f(x) by differentiating F(x): f(x) = d/dx[F(x)]. To get an explicit equation for f(x), we need to calculate the integral and differentiate the resulting antiderivative. Once you have the equation for f(x), you can plot it on the provided graphing option to verify that it matches the criteria mentioned in the question.

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To find y′(9) by implicit differentiation given x*y = 9 and y(9) = 36: Differentiating both sides of the equation x*y = 9 with respect to x:
  - Apply the product rule for differentiation, which is (u*v)' = u'*v + u*v'.
    Here, u = x and v = y, so the equation becomes:
    (x*y)' = x'*y + x*y'
Replacing x' and y' with dx/dx and dy/dx, respectively:
  - Since x' = dx/dx = 1, the equation becomes:
    1*y + x*(dy/dx) = 0
Solving for dy/dx:
  - Rearrange the equation to isolate dy/dx:
    dy/dx = -y/x

Substitute x = 9 and y = 36:
  - According to the given information, y(9) = 36, so when x = 9, y = 36.
    Substitute these values into the equation:
    y'(9) = -36/9
Simplify the result:
  - y'(9) = -4

So, y′(9) = -4.

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Answer:

6kg pure copper and 30 kg 10% copper was mixed to give 36kg of 25% alloy

Step-by-step explanation:

Here, we want to produce 36 kg of 25% alloy

Let the Pure copper be x kg while 10% alloy be y kg

Pure copper is simply 100% copper

Thus;

x + y = 36 •••••(i)

Then;

100% of x + 10% of y = 25% of 36

= x + 0.1y = 9 •••••• ii)

From i x = 36-y

from ii, x = 9-0.1y

Equate both x

36-y = 9-0.1y

36-9 = 0.1y + y

0.9y = 27

y = 27/0.9

y = 30

x = 36-y

x = 36-30

x = 6 kg