x(x+2) + y (x + 2) - 5(x + 2)
factor

The table containing the probabilities for this problem is completed as follows:

A probability is calculated as the number of desired outcomes divided by the number of total outcomes.

The probabilities are divided into theoretical and experimental, as follows:

For the first row, we have that:

For the second row, we have that:

For the third row, we have that:

For the fourth row, we have that:

For the fifth row, we have that:

The spinner and the table are missing and are given at the end of the answer.

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The value of h that makes the vectors linearly dependent is h = 4.

What is the determinant?

The determinant is a mathematical operation defined for square matrices. It is denoted by the symbol det(A) or |A|, where A represents a square matrix.

To determine the value(s) of h for which the vectors [3, -3, 9], [9, -12, 26], and [-2, 2, h] are linearly dependent, we need to check if there exists a non-trivial solution to the equation:

a[3, -3, 9] + b[9, -12, 26] + c[-2, 2, h] = [0, 0, 0],

where a, b, and c are constants.

Expanding this equation, we get:

[3a + 9b - 2c, -3a - 12b + 2c, 9a + 26b + ch] = [0, 0, 0].

This leads to the following system of equations:

3a + 9b - 2c = 0,   (1)

-3a - 12b + 2c = 0,  (2)

9a + 26b + ch = 0.  (3)

To determine if there exists a non-trivial solution, we can perform row reduction on the augmented matrix of this system.

The augmented matrix is:

[3   9  -2 | 0]

[-3 -12  2 | 0]

[9   26  h | 0]

By applying row reduction operations, we can simplify the matrix:

[R2 + R1 → R2]

[R3 - 3R1 → R3]

[R3 - 3R2 → R3]

[R2/(-3) → R2]

[3   9  -2  | 0]

[1   4  -2  | 0]

[0   0  h-4 | 0]

From the reduced row echelon form, we see that for the vectors to be linearly dependent, the determinant of the coefficient matrix must be zero:

det([3  9  -2]

   [1  4  -2]

   [0  0  h-4]) = 0.

Expanding this determinant, we get:

3(4(h - 4) - (-2)(0)) - 9(1(h - 4) - (-2)(0)) + (-2)(1(0) - 4(h - 4)) = 0.

Simplifying the equation gives:

12h - 48 + 9h - 36 + 8h - 32 = 0,

29h - 116 = 0,

29h = 116,

h = 116/29,

h = 4.

Therefore, the value of h that makes the vectors linearly dependent is h = 4.

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True for a binomial distribution is  choices B and D

The meaning of the binomial distribution ?

A binomial distribution's expected value, or mean, is determined by multiplying the number of trials (n) by the likelihood that they will succeed (p), or n p. For instance, the probability of 50 heads in 100 trials of heads or tales, or (100 0.5), is the expected value.

Success and failure are the only two possible outcomes for a binomial distribution. The trails are stand-alone. For each trial, the chance of success is the same. The range of the probability p is 0 to 1. and also comes close to Poisson and normal.

As a result, choices B and D are correct.

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The profit function P(x) can be obtained by subtracting the total cost function C(x) from the revenue function R(x). The profit function is given by P(x) = R(x) - C(x). In this case, P(x) = (-2x² + 469x) - (9x + 13650).

Simplifying the expression, we have P(x) = -2x² + 469x - 9x - 13650. Combining like terms, the profit function becomes P(x) = -2x² + 460x - 13650.

To find the quantity at the smallest break-even point, we need to determine the value of x where the profit function is equal to zero, as this represents the break-even point. Setting P(x) = 0, we have -2x² + 460x - 13650 = 0.

We can solve this quadratic equation to find the value(s) of x that satisfy the equation. Once we have the solutions, we can evaluate them to determine the quantity at the smallest break-even point.

Note: The solution to the quadratic equation may result in one or two values of x, and the smallest break-even point would be the minimum among those values.

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Answer:

Should be a collective noun.

For example: In addition to those...

The length of median overline AM is half the length of overline AB.

In a right triangle, the median from the right angle (the hypotenuse) to the midpoint of the opposite side is equal to half the length of the hypotenuse. Since point M is the midpoint of overline BC, which is the side opposite the right angle, the median overline AM is equal to half the length of the hypotenuse overline AB.

A median of a triangle is a line segment that joins a vertex to the mid-point of the side that is opposite to that vertex

Therefore, the length of median overline AM is half the length of overline AB.

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Answer:

I think it's B or C but I'm not sure cuz I'm struggling with this question also

The average rate of change of the function over the interval is -0.93

From the question, we have the following parameters that can be used in our computation:

The graph

The interval is given as

From ages = 50 to x = 60

The function is not a linear function

This means that it does not have a constant average rate of change

So, we have the following from the graph

E(50) = 29.8

E(60) = 20.4

Next, we have

Rate = (29.8 - 20.5)/(50 - 60)

Evaluate

Rate = -0.93

Hence, the rate is -0.93

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The desired value is the target or goal for the variable, while the controlled value is the actual or measured value.

The difference between the desired value of a variable and the controlled (actual) value is known as the error or deviation. It addresses the sum by which the actual value varies from the desired value, and is normally utilized as criticism in control frameworks to change the framework yield.

The objective of a control framework is to limit this mistake and bring the actual value as close as conceivable to the desired value. The mistake can be positive (assuming the actual value is more noteworthy than the desired value), negative (in the event that the actual value is not exactly the desired value), or zero (in the event that the actual value equivalents the desired value).

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To model the area burned as a function of time, we can use the formula for the area of a circle, which is A = πr^2. In this case, the radius of the circle is given by r(t) = 2t + 1, where t represents time in minutes.

To find the area burned at any given time, we substitute the expression for r(t) into the formula for the area:

A(t) = π(2t + 1)^2

Now, let's simplify this equation step by step:

1. Expand the square:
A(t) = π(4t^2 + 4t + 1)

2. Distribute π to each term inside the parentheses:
A(t) = 4πt^2 + 4πt + π

So, the function modeling the area burned as a function of time is A(t) = 4πt^2 + 4πt + π.


We are given the radius of the circle of burning forest as r(t) = 2t + 1, where t is the time in minutes. To find the area burned, we need to use the formula for the area of a circle, which is A = πr^2. By substituting the expression for r(t) into the formula, we get A(t) = π(2t + 1)^2. Simplifying further, we expand the square and distribute π to each term inside the parentheses, resulting in A(t) = 4πt^2 + 4πt + π.


The function A(t) = 4πt^2 + 4πt + π models the area burned as a function of time, where t represents the time in minutes.

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The answer would be

y=-1/2x +4

The insurance agent's claim was not supported by the data and there may have been a Type II error made in the hypothesis test.

In this scenario, the null hypothesis is that the mean number of miles a car is driven per month is equal to 1000 miles. The alternative hypothesis is that the mean number of miles a car is driven per month is less than 1000 miles. The insurance agent conducted a hypothesis test and failed to reject the null hypothesis. This means that there was not enough evidence to support the claim that the mean number of miles a car is driven per month is less than 1000 miles. Since the null hypothesis cannot be proven, it is possible that an error was made. The type of error that was made is a Type II error. This occurs when the null hypothesis is not rejected, even though it is false. In this scenario, the null hypothesis is false (since the mean number of miles a car is driven per month is actually 1000 miles), but the hypothesis test failed to detect this.

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Answer:

3.25

Step-by-step explanation:

Answer:

it would be “>”, 100% guaranteed.

Answer:

answer is >

Step-by-step explanation:

hope this is helpful

When two companies have a correlation value of -0.95, there is less than zero covariance between their returns. So statement d is correct.

The correlation coefficient is an important measure that helps to establish a relationship between two variables. Its value is mostly between +1 to -1. Therefore, the value can be positive, negative, or zero. Based on this the types of correlation are positive correlation, negative correlation, and no relation.  This is calculated for the given condition using the below formula,

\(\text{correlation coefficient}=\frac{\text{covariance of security}}{\text{SD of security 1}\times\text{SD of security 2}}\).

Here, the SD (standard deviation) is always positive, and the covariance value should be negative or less than zero so that the correlation coefficient of the two companies will be negative (as -0.95). From the given option, d is correct.

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The equation of the curve is y = (8/3)\(x^3\)+ 2.

The curve can be described by the equation y = (8/3)\(x^3\)+ 2. To determine this equation, we start by considering the slope at each point (x, y) on the curve. According to the given conditions, the slope equals twice the square of the distance between the point and the y-axis.

To find the equation, we can use the point-slope form of a line. Let's consider a point (x, y) on the curve.

The distance between this point and the y-axis is given by |x|. Therefore, the slope at this point is 2(|x|)². We can express this slope in terms of the derivative dy/dx.

Taking the derivative of y = (8/3)\(x^3\)+ 2, we get dy/dx = 8x². To satisfy the condition that the slope equals 2(|x|)², we equate dy/dx to 2(|x|)² and solve for x.

8x² = 2(|x|)²

4x² = |x|²

This equation holds true for both positive and negative values of x. Therefore, we can rewrite it as:

4x² = x²

3x² = 0

Solving for x, we find x = 0. Substituting x = 0 into the equation of the curve y = (8/3)\(x^3\) + 2, we get y = 2.

Thus, the equation of the curve is y = (8/3)\(x^3\)+ 2, and it satisfies the given conditions.

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According to the given data we have the following:

Whitney earns 312 in 26 hours of work

Andrew earns 451 in 41 hours of work

Lena earns 10 per hour

In order to calculate who earns the most money per hour we would have to calculate the rate of money per hour of Whitney and Andrew and the compare it with Lena.

So, money per hour of whtiney=312/26

money per hour of whtiney=12 per hour

money per hour of Andrew=451/41

money per hour of Andrew=11 per hour

Therefore, Whitney is the person that earns most money per hour.

Answer:

Intersects two or more coplanar lines

Step-by-step explanation:

In geometry, the transversal line is a line that passes through two separate lines on the same plane (coplanar) at 2 distinct points.

Answer:

A, C, and E

Explanation:

The total possible combination of ordered pairs from the element of the given set is 9

To find the ordered pairs of the equation, we simply have to find the total possible combinations from the element of the set.

The element of set given is x ∈ {-1, 0, 1}

The possible combinations of x ∈ {-1, 0, 1} are;

(-1, -1)

(-1, 0)

(0, -1)

(1, 1)

(-1, 1)

(1, -1)

(0, 1)

(1, 0)

(0, 0)

We have 9 possible ordered pairs

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A binomial probability distribution with p = 0.3 is c. positively skewed.

A binomial probability distribution with p = 0.3 is positively skewed. This means that the distribution is skewed to the right. In a binomial distribution, the skewness is determined by the value of p, which represents the probability of success in each trial. When p is less than 0.5, as in this case (p = 0.3), the distribution tends to be positively skewed.

The correct answer is c. positively skewed.

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Answer:

I think 15 or 25

Step-by-step explanation:

If you divide 75 by 5 then you get 15. So if you plant 5 seeds per pot then you will need 15 pots to plant all of the seeds.

Also,

If you divided 75 by 3 it =25

Answer:

5/2

Step-by-step explanation:

25 and 10 so 25/10 or 5/2 or 2 1/2

Answer:

c

Step-by-step explanation:

because c is the answer lady

Relative Frequency Distribution:

Class 1 (3 - 12): 0.056

Class 2 (13 - 22): 0

Class 3 (23 - 32): 0.056

Class 4 (33 - 42): 0.222

Class 5 (43 - 52): 0.333

Class 6 (53 - 62): 0.167

Class 7 (63 - 72): 0.111

To create a frequency and relative frequency distribution for the given data set using 7 classes, we can follow the steps outlined in Lesson 4.

Step 1: Sort the data in ascending order:

3, 32, 35, 37, 39, 39, 40, 40, 41, 42, 44, 47, 49, 50, 50, 52, 54, 70

Step 2: Determine the range:

Range = Maximum value - Minimum value = 70 - 3 = 67

Step 3: Calculate the class width:

Class width = Range / Number of classes = 67 / 7 ≈ 9.57 (round up to 10 for simplicity)

Step 4: Determine the class limits:

Since the minimum value is 3 and the class width is 10, we can determine the class limits as follows:

Class 1: 3 - 12

Class 2: 13 - 22

Class 3: 23 - 32

Class 4: 33 - 42

Class 5: 43 - 52

Class 6: 53 - 62

Class 7: 63 - 72

Step 5: Count the frequency of each class:

Class 1 (3 - 12): 1

Class 2 (13 - 22): 0

Class 3 (23 - 32): 1

Class 4 (33 - 42): 4

Class 5 (43 - 52): 6

Class 6 (53 - 62): 3

Class 7 (63 - 72): 2

Step 6: Calculate the relative frequency of each class:

To calculate the relative frequency, we divide the frequency of each class by the total number of data points (18 in this case).

Class 1 (3 - 12): 1/18 ≈ 0.056

Class 2 (13 - 22): 0/18 = 0

Class 3 (23 - 32): 1/18 ≈ 0.056

Class 4 (33 - 42): 4/18 ≈ 0.222

Class 5 (43 - 52): 6/18 ≈ 0.333

Class 6 (53 - 62): 3/18 ≈ 0.167

Class 7 (63 - 72): 2/18 ≈ 0.111

Finally, we can present the frequency and relative frequency distribution for the data set using 7 classes as follows:

Frequency Distribution:

Class 1 (3 - 12): 1

Class 2 (13 - 22): 0

Class 3 (23 - 32): 1

Class 4 (33 - 42): 4

Class 5 (43 - 52): 6

Class 6 (53 - 62): 3

Class 7 (63 - 72): 2

Relative Frequency Distribution:

Class 1 (3 - 12): 0.056

Class 2 (13 - 22): 0

Class 3 (23 - 32): 0.056

Class 4 (33 - 42): 0.222

Class 5 (43 - 52): 0.333

Class 6 (53 - 62): 0.167

Class 7 (63 - 72): 0.111

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Answer:

Step-by-step explanation:

This models the standard form of an exponential equation:

\(y=a(b)^x\), where a is the intial value and b is the growth rate. The number in our function that holds position a is 1200. So the initial population is 1200.

Answer:

c

Step-by-step explanaticcon:

Answer:

90

Step-by-step explanation:

PVQ = 60 an RVS = 30,  60 + 30 = 90

Answer:

110 degrees

Step-by-step explanation:

This is because they are alternate exterior angles

So they are the same angle