Kadeem keeps track of the number of people inside a music hall to attend a concert
by looking at the number of scanned tickets. He plotted the data on the graph below,
where 2 = O represents the time at 6 p.m., then drew a line of best fit. If we extended
the line, what would the value of y tell us when x = 3?

Answer:

P1= -2/3

P2= -10/3

Step-by-step explanation:

take the sq rt of both sides and use both + and - roots

3P+6=4

3P+6=-4

subtract 6 from both sides for each one

3P=-2

P=-2/3

3P=-10

P= -10/3

Answer: The answer is 10

Step-by-step explanation:

The centroid of any triangle has the following property:
The distance between the centroid and one of the extremities is two times longer than the distance between the opposite side.  
In this case AG = 20 should be twice the distance then GK.
If 20 is twice the distance then that distance that we are  searching for is:
20/2 = 10

Answer:

23

Step-by-step explanation:

you just add 6 to every one

The unit tangent vector to the space curve at time t = 2 is therefore \(\(\vec{T} = \frac{1}{\sqrt{21}}\vec{i} - \frac{4}{\sqrt{21}}\vec{j} + \frac{2}{\sqrt{21}}\vec{k}\)\)

What is a Unit tangent vector?

The direction of a curve at a particular point is depicted by the unit tangent vector, which is a vector. The direction the curve is traveling in at that location is shown by a vector of length 1. The unit tangent vector is frequently represented by the letters\(\(\vec{T}\) or \(\hat{T}\)\)

Using the given vector function, we can get the unit tangent vector to the space curve at the point (t = 2) by doing the following steps:

1. To get the velocity vector, calculate the derivative of the vector function.

2. Calculate the velocity vector at time t = 2 to determine the tangent vector.

The unit tangent vector is produced by normalizing the tangent vector.

The derivative of the vector function \(\(\vec{r}(t) = t\vec{i} - t^2\vec{j} + (2t-1)\vec{k}\)\) is found as follows:

\(\(\vec{v}(t) = \vec{r}'(t) = \frac{d\vec{r}}{dt} = \vec{i} - 2t\vec{j} + 2\vec{k}\)\)

We may calculate the velocity vector at time t by using the formula: \(\(\vec{v}(2) = \vec{i} - 2(2)\vec{j} + 2\vec{k} = \vec{i} - 4\vec{j} + 2\vec{k}\)\)

The curve at (t = 2) is represented by the tangent vector in this vector.

The tangent vector is normalized as follows to produce the unit tangent \(\(\vec{T} = \frac{\vec{v}(2)}{|\vec{v}(2)|}\)\)

Using the Euclidean norm, determine the size of \(\(\vec{v}(2)\)\):

\(\(|\vec{v}(2)| = \sqrt{\vec{v}(2) \cdot \vec{v}(2)} = \sqrt{1^2 + (-4)^2 + 2^2} = \sqrt{1 + 16 + 4} = \sqrt{21}\)\)

The unit tangent vector is thus:\(\(\vec{T} = \frac{1}{\sqrt{21}}\vec{i} - \frac{4}{\sqrt{21}}\vec{j} + \frac{2}{\sqrt{21}}\vec{k}\)\)

The unit tangent vector to the space curve at time t = 2 is therefore \(\(\vec{T} = \frac{1}{\sqrt{21}}\vec{i} - \frac{4}{\sqrt{21}}\vec{j} + \frac{2}{\sqrt{21}}\vec{k}\)\)

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the center is (-7,5) and the radius is 2

Answer:

Step-by-step explanation:

Caution! Don't Use "AAA"

AAA means we are given all three angles of a triangle, but no sides.

Answer:

There is no congruency theorem

Step-by-step explanation:

We don't know that the triangles are congruent.  We know that the angles are the same that makes the triangles similar.  We need at least one side being equal to make the triangles congruent

In Chloe's risk information forms, the key item she should document is the probability and impact of each identified risk.

To effectively monitor risks and obtain early warnings, Chloe should document the probability and impact of each identified risk in her risk information forms. Let's break down why this information is critical in risk management.

The impact of a risk represents the potential consequences or severity of its occurrence. By documenting the impact, Chloe can understand the potential damage or disruption a risk could cause. This allows her to prioritize risks based on their potential impact on the project or objective. By assigning an impact rating or value to each risk, Chloe can identify high-impact risks that require careful consideration and robust mitigation strategies.

Once Chloe has established the probability and impact for each risk, she can set thresholds or triggers for early warning signs. These thresholds act as indicators that a risk is approaching or crossing a critical level.

Chloe can track these thresholds regularly and set up a monitoring system that alerts her when a risk reaches or surpasses the specified levels. This allows her to take timely action and implement mitigation strategies before the risk escalates and negatively impacts the project.

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The more precise estimator ẏ₁ is the most efficient in estimating the average salary. With given values, the confidence interval is calculated to determine whether to accept the claim of a $50,000 mean salary.



In this scenario, we have two estimators for the average salary: ẏ₁, which uses precise data, and ẏ₂, which includes less precise data. The efficiency of the estimators depends on the variance of the data. If we compare the variances, Var(ẏ₁) = 0% and Var(ẏ₂) = o²(1 + 3c). Since Var(ẏ₁) is zero, it implies that ẏ₁ is the most efficient estimator. The answer does not depend on the value of c.

In the second part, with c = 0, we have Var(Y) = o². Given N = 300, s² = 20,000,000, and ẏ₁ = $48,000, we can use these values to construct a confidence interval. Using a 1% significance level, the critical value is 2.57 (from the standard normal distribution). The confidence interval is given by ẏ₁ ± 2.57 * sqrt(s²/N), which results in $48,000 ± 2.57 * sqrt(20,000,000/300). If this interval contains $50,000, we would accept your friend's claim; otherwise, we would reject it.

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Step-by-step explanation:

We have:  8x=26+14y

Standard form is in format of   ax + by = c

where a, b, c are numbers.

All you have to do is subtract 14y from both sides of the equation.

8x - 14y = 26

This can also be reduced since each term has a common factor of 2

4x - 7y = 13

Answer:

8x-14y-26=0

Step-by-step explanation:

simply move the 26 and 14y over to the other side of the equation making sure that you flip the signs on both

The required scale factor with respect to the pre-image and image is equal to 2.

In Geometry, a scale factor is the ratio of two corresponding side lengths or diameter in two similar geometric figures, which can be used to either vertically or horizontally enlarge or reduce a function representing their size.

In Mathematics, the scale factor of any geometric figure can be calculated by using this mathematical expression:

Scale factor = Dimension of image/Dimension of pre-image

Substituting the given parameters into the scale factor formula, we have the following;

Scale factor = -10/-5 = -4/-2

Scale factor = 2.

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To find the integer value of n that results in exactly 560 lattice points strictly in the interior of the triangle, use the equation: n = (560 + 2)/8.

This equation is derived by counting the lattice points on each side of the triangle, starting with the side between points (1,1) and (9,1). This side has a length of 8, so it contains 8 lattice points, including the two endpoints. The remaining sides have lengths of 8 + n and 8 + n, which combined have 8 + 2n lattice points. The total number of lattice points in the triangle is then 8 + 8 + 2n = 16 + 2n.  

Solving for n when the total number of lattice points is 560 gives us n = (560 + 2)/8. Therefore, the integer value of n is 70.

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Answer:

14

Step-by-step explanation:

8k - 2 =

8(2) - 2 =

16 - 2 =

14

8k - 2 = 14

when you know what the variable is, you should replace the variable in the equation with that value.

=(a+a+a+a+a+a)

= 6a

=(5x+−4x+10x)

= 11x

=(9t+3t+−6t)

= 6t

=(−5j+11j+j)

= 7j

a)= 6a

b)= 11x

c)=6t

d)= 7j

Answer:

0

Step-by-step explanation:

its a negative rational number

Answer:

Step-by-step explanation:

la respeudesta es x*bh a la cuarta

The median of 5,8,6,9,11,4 is 7.

The median is the middle point in a dataset—half of the data points are smaller than the median and half of the data points are larger.

Here we have to find the median of 5,8,6,9,11,4.

Arranging the given data/observations in ascending order:-

4, 5, 6, 8, 9, 11

Here we can see that there are 6 numbers given

so, n= 6

Where the number of terms is even.

We know that the formula to find the value of the median whose n value is given,

Median= {(n/2 +1 )th term +(n/2)th term} / 2

We can now substitute the value of n in the above formula, we get

Median= {(6/2+1) +(6/2)} / 2

We can now simplify the above step, we get

Median= 3rd observation + 4th observation / 2 = 6+8/2 = 7

Therefore, the median of  5,8,6,9,11,4 is 7.

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Answer:

0.5/3 or 16.67

Step-by-step explanation:

Slope is y 2 minus y 1 / x 2 minus x 1.

1-0.5/6-3

0.5/3

The logarithmic form of the exponential equation 8e^x-5 = 0 is given as follows:

x = ln(5/8).

The exponential function in this problem is defined as follows:

8e^x-5 = 0.

The equation can be sorted isolating the exponential as follows:

8e^x = 5.

e^x = 5/8.

The natural logarithm(symbolized by the ln) is the opposite of the exponential function, hence the logarithmic form of the equation is presented as follows:

ln(e^x) = ln(5/8).

As stated above, the natural logarithm and the exponential functions are inverse functions, meaning that:

ln(e^x) = x.

Thus the logarithmic form of the exponential equation 8e^x-5 = 0 is given as follows:

x = ln(5/8).

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Answer:

4

Step-by-step explanation:

just did it

Answer:

3

Step-by-step explanation:

Khan Academy

Line of symmetry is just splitting an object in half, if you fold this object onto itself over this line the sides should be equal.

" Give 2 examples and describe the symmetry in as much detail as possible."

If we separated an elephant using reflectional symmetry each side would have 1 ear, 2 legs, half a tail, half a trunk, and 1 eye.

If we separated a lamp using reflectional symmetry each side would have half a lamp shade, half a lamp base, half a light blub.

Hope this helps!

Answer:

n = 4 in equation C

The range of possible values for t, the total time of Mr. Baker's drive, is approximately 1.754 to 1.818 hours.

To calculate the range of possible values for t, the total time of Mr. Baker's drive, we can use the formula:

time = distance / speed

where distance is 100 miles and speed is 56 miles per hour.

So, the total time of the drive can be calculated as:

t = distance / speed

t = 100 / 56

t ≈ 1.786 hours

Now, to determine the range of possible values for t, we need to consider the possible variations in Mr. Baker's speed. Since his average speed is given to the nearest 2 miles per hour, we can assume that his actual speed may vary by up to 1 mile per hour in either direction.

Thus, the range of possible values for Mr. Baker's speed is 55 to 57 miles per hour. Plugging these values into the time formula, we get:

t1 = 100 / 55 ≈ 1.818 hours

t2 = 100 / 57 ≈ 1.754 hours

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The given statement "the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring." is False.

The union of two events A and B represents the event that at least one of the events A or B occurs. The probability of the union of two events can be calculated using the formula:

P(A or B) = P(A) + P(B) - P(A and B)

On the other hand, the intersection of two events A and B represents the event that both events A and B occur. The probability of the intersection of two events can be calculated using the formula:

P(A and B) = P(A) * P(B|A)

where P(B|A) is the conditional probability of B given that A has occurred.

It is possible for the probability of the union of two events to be greater than the probability of the intersection of two events if the two events are not mutually exclusive.

In this case, the probability of both events occurring together (the intersection) may be relatively small, while the probability of at least one of the events occurring (the union) may be relatively high.

In summary, the probability of the union of two events occurring can sometimes be greater than the probability of the intersection of two events occurring, depending on the relationship between the events.

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a. The y coordinate of the center of the circle is -1.

b. The value of b in the equation is 44 units.

The solution has been obtained using circles.

What is a circle?

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point.

a. We are given the equation as

x² + y² - 4 x + 2 y = b

On solving the equation, we get

x² - 4 x + 4 + y² + 2 y + 1 = b + 4 + 1

This can be written as

( x - 2 )² + ( y + 1 )² = b + 5   ...(1)

So, the y - coordinate of the center of the circle is - 1.

b. We know that equation of circle is

( x - a )² + ( y - c)² = r²

On comparing this with (1), we get

b + 5 = r²

b + 5 = 7²

b + 5 = 49

b = 49 - 5

b = 44

Hence, the value of b is 44 units.

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Answer:

y = -5x - 2

Step-by-step explanation:

We have to use slope intercept form which is y = mx + b

mx is the slope and b is the y intercept. Let's start with the y intercept. The y intercept on this graph is -2 so lets see what it looks like to far

y = mx - 2

Next, we find the slope which is -5

y = -5x - 2

Answer:

y=-5x+-2

Step-by-step explanation:

the probability of that there will be 2 defective items among them is 0.476 or 47.6%.

What is probability?

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1. Calculating the possibility of an event occurring is the focus of the math discipline of probability. Probability gauges the likelihood of an event occurring.

there are 4 defective items in a lot consisting of 10 items.

from this lot we select 5 items at random.

The number of ways in which 55 items can be selected 10 C 5 = 252.

Number of ways in which 2 defective systems and 3 non-defective systems can be selected

4C2 * 6C3 = 6*20=120

The probability = 120 / 252 = 0.476

Hence the probability of that there will be 2 defective items among them is 0.476 or 47.6%.

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Given that the first derivative of a continuous function y = f(x) is given. We are to find y'' and sketch the general shape of the graph of f. Differentiate the given equation y' = f'(x) again with respect to x to get y'' = f''(x).

Now, we have obtained the second derivative. The second derivative indicates the concavity of the graph of the function. The graph of the function y = f(x) is concave upwards where f''(x) is positive, and it is concave downwards where f''(x) is negative. Therefore, the sign of f''(x) tells us the nature of the graph of the function y = f(x).If f''(x) > 0, then the graph of f(x) is concave upwards, while if f''(x) < 0, then the graph of f(x) is concave downwards, and if f''(x) = 0, then the graph of f(x) has points of inflection which means it changes the concavity at that point.

To sketch the graph of f(x), we need to analyze the behavior of the function at certain points, such as critical points, singular points, and inflection points. We also need to check the end behavior of the graph to see how it behaves for large values of x. The shape of the graph of the function y = f(x) can be determined by analyzing the sign of its first and second derivative. If f(x) > 0 and f'(x) > 0, then the graph of f(x) is increasing, and it is concave upwards if f''(x) > 0.

If f(x) > 0 and f'(x) < 0, then the graph of f(x) is decreasing, and it is concave downwards if f''(x) < 0. If f(x) < 0 and f'(x) > 0, then the graph of f(x) is decreasing, and it is concave downwards if f''(x) < 0. If f(x) < 0 and f'(x) < 0, then the graph of f(x) is increasing, and it is concave upwards if f''(x) > 0. Thus, we can sketch the general shape of the graph of f(x) using these rules.

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\(Question\)

what is the fraction for 33%and the decimal for 33%?

Answer:

Your Answer Would Be \(\frac{33}{100}\) For your Fraction And For your Decimal It Would Be 0.33

Hope this Helps!

\(xXxAnimexXx\)

Answer: Properties of Multiplication. You can use the properties of multiplication to evaluate expressions. Commutative Property. Changing the order of factors does not change their product. Example: a x b = b x a. 4 x 20 = 20 x 4. Associative Property. Changing the grouping of factors does not change their product.

Answer:

The information we have is:

The boat can hold 170 L of fuel

The boat uses 34L each hour.

With this information, we can find the total amount of time that the boat can be used.

If the boat is used x hours, then it needs:

x*34L of fuel.

And the maximum amount of fuel that the boat can use uis170 L

Then we can solve:

x*34L = 170L

Now we can divide both sides by 34L to isolate x.

x = 170L/34L = 5

This means that the boat can be used for 5 hours.