HURRY ITS A TIME TEST!!

Which of the following sets of three side lengths determine no triangle?
2 feet, 2 feet, 3 feet
2.5 feet, 3.5 feet, 6.5 feet
4.1 feet, 5.2 feet, 6.3 feet
5 feet, 7.4 feet, 12 feet

Answer:

16

Step-by-step explanation:

8*2*1=16

Answer:

6 package

Step-by-step explanation:

Given:

Amount of cheese needs = 3 KG = 3,000 gram

Assume;

1 package of cheese = 500 gram

Find:

Number of package need

Computation:

Number of package need = Amount of cheese needs / 1 package of cheese

Number of package need = 3,000 / 500

Number of package need = 6 package

The given function is

First, we make x = 0.

Second, we make g(x) = 0.

Third, we graph the points (0, 4) and (-16, 0).

At last, we draw the line through the points to get the line.

Answer:

a. I would put 20 stuffed animals in the bin, out of which 10 would be teddy bears.

So that the probability is 10/20 = 1/2

b. I could remove 8 other animals from 12 to have 4. So that the total number of stuffed animals is 8. 4/8 = 1/2

Step-by-step explanation:

a. Probability =

number of required outcomes / number of possible outcomes

If in the bin there are 10 teddy bears out of 20 stuffed animals,

Then the probability of picking a teddy bear = 10/20 = 1/2.

b. If on returning, there are 4 teddy bears and 12 other animals, I could simply remove 8 of the other animals to have 4 other animals and a total of 8 stuffed animals.

Probability = 4/8 = 1/2

Answer:

4080.01

Step-by-step explanation:

V = 6 A2/3/36 square rooted = 6 × 1532 2/3/36 square rooted = 4080.01042

Answer: The given vector can be expressed as a linear combination of u, v, and w as (14, 9, 14) = u - v + 3w.

Question: Express the following as a linear combination of u =(3, 1,6), v = (1.-1.4) and w=(8,3,8). (14, 9, 14) = ____ u- _____ v+ _____

Current Progress: To express the given vector as a linear combination of u, v, and w, we need to find scalars a, b, and c such that (14, 9, 14) = a*u + b*v + c*w.

Step 1: Write the equation in component form:
(14, 9, 14) = (3a + b + 8c, a - b + 3c, 6a + 4b + 8c)

Step 2: Equate the corresponding components and solve for a, b, and c:
3a + b + 8c = 14
a - b + 3c = 9
6a + 4b + 8c = 14

Step 3: Solve the system of equations using any method (substitution, elimination, etc.). One possible solution is a = 1, b = -1, and c = 3.

Step 4: Plug the values of a, b, and c back into the linear combination equation:
(14, 9, 14) = 1*u + (-1)*v + 3*w

Step 5: Simplify the equation:
(14, 9, 14) = u - v + 3w

Answer: The given vector can be expressed as a linear combination of u, v, and w as (14, 9, 14) = u - v + 3w.

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Answer:

20 percent

Step-by-step explanation:

There are 20 percent of the trees in the forest are the Oak trees.

The percentage of oak trees,  p , in the forest can be calculated using the following formula:

p = Number of oak  trees/ Total number of trees x  100

Given that there are 300 oak trees out of a total of 1,500 trees in the forest.

Plugging these values into the formula:

p = (300)/ (1500) x 100

   = 1/5 x 100

   = 100/5

   = 20

So, 20% of the trees in the forest are oak trees.

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Answer:

Step-by-step explanation:

You want the values of C and 'a', given the graph of y = C·a^x.

When x = 0, ...

  y = C·a^0 = C·1 = C

The graph shows y = 1 when x = 0, so C = 1.

When x = 1, ...

  y = C·a^1 = C·a = 1·a = a

The graph shows y = 4 when x = 1, so a = 4.

#95141404393

The value of the variable are; C = 1 and a = 4

If we know that the function crosses the x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

We want the values of C and 'a', given the graph of y = C·a^x.

To find the Values of y

When x = 0,   y = C·a^0 = C·1 = C

The graph shows that y = 1 when x = 0, so C = 1.

When x = 1, then y = C·a^1 = C·a = 1·a = a

The graph shows that y = 4 when x = 1, so a = 4.

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y = -2 * (16 - x1)^(1/2) * (x - x1) + y1

This equation represents the line that is normal to the curve y = (16 - x)^(1/2) at the point (x1, y1).

To find the line that is normal (perpendicular) to the curve y = (16 - x)^(1/2), we first need to determine the derivative of the curve.

Differentiating y with respect to x, we use the power rule:

dy/dx = (1/2) * (16 - x)^(-1/2) * (-1)

Simplifying:

dy/dx = -1 / (2 * (16 - x)^(1/2))

The derivative represents the slope of the tangent line to the curve at any given point. To find the slope of the line normal to the curve, we take the negative reciprocal of the derivative.

The slope of the normal line is the negative reciprocal of -1 / (2 * (16 - x)^(1/2)). Therefore, the slope of the normal line is:

m_normal = -2 * (16 - x)^(1/2)

Now, let's find the equation of the line with the slope m_normal and passing through a specific point on the curve.

Let's assume we want to find the line normal to the curve at a point (x1, y1). We can use the point-slope form of a line:

y - y1 = m_normal * (x - x1)

Substituting the slope m_normal, we get:

y - y1 = -2 * (16 - x1)^(1/2) * (x - x1)

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Check the picture below.

\(\cfrac{18}{11+x}=\cfrac{2}{x}\implies 18x=22+2x\implies 16x=22\implies x=\cfrac{22}{16}\implies x=\cfrac{11}{8}\)

Answer:

5

Step-by-step explanation:

I just know the answer is five

Thus, the probability that the focus group will have two males and two females is 0.3.

To determine the total number of possible ways to select four members from a department of 10. This is known as the sample space and is calculated using the combination formula, which is:
n C r = n! / r! (n - r)!

where n is the total number of individuals (in this case, 10) and r is the number of individuals being selected (in this case, 4).

So, the sample space for selecting four members from a department of 10 is:
10 C 4 = 10! / 4! (10 - 4)! = 210

Next, we need to determine the number of ways to select two males and two females from a department with 7 males and 3 females.

This is calculated using the multiplication principle, which states that the total number of ways to perform a sequence of events is equal to the product of the number of ways to perform each individual event.

So, the number of ways to select two males and two females from a department with 7 males and 3 females is:
(7 C 2) x (3 C 2) = 21 x 3 = 63

Finally, we can calculate the probability of selecting a focus group with two males and two females by dividing the number of ways to select two males and two females by the total number of possible ways to select four members:
63 / 210 = 0.3

Therefore, the probability that the focus group will have two males and two females is 0.3. The answer is d.

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An essential concept in mathematics and can be applied to a variety of fields such as physics, economics, and engineering.

The slope of a line in a Cartesian plane is a numerical representation of its steepness and inclination relative to the x-axis.

The slope of a straight line refers to the rise or fall of the y-coordinate as it moves from left to right along the x-axis.

There are a few different ways to interpret the slope of a line, but generally it can be thought of as the rate at which the dependent variable changes with respect to the independent variable.
When the slope is positive, the line rises from left to right, indicating that the dependent variable is increasing as the independent variable increases.

In other words, there is a direct relationship between the two variables.

Conversely, when the slope is negative, the line falls from left to right, indicating that the dependent variable is decreasing as the independent variable increases.

This means that there is an inverse relationship between the two variables.
The magnitude of the slope can also provide information about the relationship between the variables.

If the slope is close to zero, then the relationship between the two variables is weak or nonexistent.

However, if the slope is large in magnitude (i.e. close to 1 or -1), then there is a strong relationship between the variables.

A slope of zero indicates that there is no change in the dependent variable as the independent variable changes, while a slope of undefined means that the line is vertical and has no slope.
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Assume that the population has a normal distribution and the standard deviation is known to be σ = 0.6.There are a number of variables to keep in mind when constructing confidence intervals (CI). First and foremost, the wider the interval, the more confident we are that the actual mean is contained within the interval.

Second, the wider the interval, the less precise our estimation of the actual mean will be. There's an inherent trade-off between these two factors. To achieve a specific interval width at a certain level of confidence, we can change the sample size.

The formula to calculate the sample size can be represented as follows:

n = (Zσ/E)2,

where n is the sample size, Z is the Z-score corresponding to the confidence level, σ is the standard deviation, and E is the desired margin of error (interval width).

Therefore, we can now use the formula to calculate the sample size:

Z score corresponding to 95% confidence is 1.96

n = (1.96 * 0.6 / 1.5)2= (1.96 * 0.4)2= 0.7842= 0.6148

Hence, the sample size needed should be around 15.

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Answer:

(up) by 6

left by 7

Step-by-step explanation:

The pairwise comparisons that need to be made for this anova result will be b.3

In order to determine the number of pairwise comparisons needed for a one-way between-subjects ANOVA with three groups, we can use the formula:

N = (k * (k-1)) / 2

Where N represents the number of pairwise comparisons and k represents the number of groups. In this case, k = 3.

Plugging in the values:

N = (3 * (3-1)) / 2

N = (3 * 2) / 2

N = 6 / 2

N = 3

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Answer:

7⁵-3=7⁵x- 19

Step-by-step explanation:

16807 - 3 = 7⁵x - 19

16804 = 7⁵x - 19

16804 = 16807x - 1

adding 19 on both sides

16804 + 19 = 16807x - 19 + 19

16823 = 16807x

x = 16823 / 16807

16823 upon 16807 is the x

The 95% confidence interval for the mean percent increase in gambling when faced with a sure loss is approximately (13.256%, 22.494%).

(a) The stemplot of the given data is as follows:

```

Stem: |  0   1   2   3   4   5  

Leaf: |  8   0   7   7   0   7  0  5

```

In the stemplot, the data points are divided into stems (tens digit) and leaves (ones digit). From the stemplot, there is no major deviation from normality apparent in the data. The values are distributed relatively evenly without any clear skewness or outliers.

(b) To calculate the 95% confidence interval for the mean percent increase in gambling when faced with a sure loss, we can use the formula for a confidence interval based on a t-distribution. Given the sample mean percent increase as 17.875% and a standard deviation of 9.887%, we can calculate the confidence interval as follows:

Step 1: Calculate the standard error (SE) of the sample mean using the formula:

SE = s / √n,

where s is the sample standard deviation and n is the sample size.

SE = 9.887% / √20 = 2.209%

Step 2: Determine the critical value (t*) based on a 95% confidence level and degrees of freedom (n-1 = 19). From a t-distribution table, t* ≈ 2.093.

Step 3: Calculate the margin of error (ME) using the formula:

ME = t* * SE

ME = 2.093 * 2.209% = 4.619%

Step 4: Calculate the confidence interval (CI) using the formula:

CI = sample mean ± ME

CI = 17.875% ± 4.619%

CI ≈ (13.256%, 22.494%)

Therefore, the 95% confidence interval for the mean percent increase in gambling when faced with a sure loss is approximately (13.256%, 22.494%).

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the standard error of the distribution is 0.0479 (rounded to four decimal places).

Given that the true proportion of voters in the county who support a restaurant tax is 0.38, and we want to consider the sampling distribution for the proportion of supporters with a sample size of n = 102.

The mean of the sampling distribution is equal to the true proportion, which is 0.38.

The standard error of the sampling distribution is given by the formula:

Standard error = \(\sqrt{ [(p * (1-p)) / n]}\)

where p is the true proportion, and n is the sample size.

Plugging in the values, we get:

Standard error = \(\sqrt{[(0.38 * (1-0.38)) / 102]}\)

= \(\sqrt{[(0.38 * 0.62) / 102]}\)

= \(\sqrt{ [0.002296]}\)

= 0.0479 (rounded to four decimal places)

Therefore, the standard error of the distribution is 0.0479 (rounded to four decimal places).

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The type of bias involved in this sampling design is a non-response bias and the sample result obtained is higher than the actual value for the population.

A sampling bias simply refers to a type of bias in which members of an intended population are selected in such a way that some members either have a higher or lower sampling probability (chances) than the other members.

A non-response bias is also referred to as participation bias and it can be defined as a type of bias that typically occurs when the members (non-responders) of a population are unwilling or unable to respond to a sampling design, based on a factor that makes them to differ greatly from responders i.e those people that responded.

In this context, we can logically deduce that this sampling design is a non-response bias because those who do not have daytime jobs are more likely to be at home and as such, have more baking time.

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Complete Question:

Bias is present in each of the following sampling designs. In each case, identify the type of bias involved and state whether you think the sample result obtained is lower or higher than the actual value for the population.

Flour company in Minneapolis wants to know what percent of local households bake at least twice a week. A company representative calls 500 randomly selected households during the daytime and finds that 50% of those who responded bake at least twice a week.

Step-by-step explanation:

I answered this already.

To show that the matrix A = [XX - X'Z(ZZ)^(-1)Z'X] is positive definite, we need to demonstrate two properties: (1) A is symmetric, and (2) all eigenvalues of A are positive.

Symmetry: To show that A is symmetric, we need to prove that A' = A, where A' represents the transpose of A. Taking the transpose of A: A' = [XX - X'Z(ZZ)^(-1)Z'X]'. Using the properties of matrix transpose, we have:

A' = (XX)' - [X'Z(ZZ)^(-1)Z'X]'. The transpose of a sum of matrices is equal to the sum of their transposes, and the transpose of a product of matrices is equal to the product of their transposes in reverse order. Applying these properties, we get: A' = X'X - (X'Z(ZZ)^(-1)Z'X)'.  The transpose of a transpose is equal to the original matrix, so: A' = X'X - X'Z(ZZ)^(-1)Z'X. Comparing this with the original matrix A, we can see that A' = A, which confirms that A is symmetric.  Positive eigenvalues: To show that all eigenvalues of A are positive, we need to demonstrate that for any non-zero vector v, v'Av > 0, where v' represents the transpose of v. Considering the expression v'Av: v'Av = v'[XX - X'Z(ZZ)^(-1)Z'X]v

Expanding the expression using matrix multiplication : v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv. Since X and Z have full column rank, X'X and ZZ' are positive definite matrices. Additionally, (ZZ)^(-1) is also positive definite. Thus, we can conclude that the second term in the expression, v'X'Z(ZZ)^(-1)Z'Xv, is positive definite.Therefore, v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv > 0 for any non-zero vector v. Implications in econometrics: In econometrics, positive definiteness of a matrix has important implications. In particular, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] guarantees that it is invertible and plays a crucial role in statistical inference.

When conducting econometric analysis, this positive definiteness implies that the estimator associated with X and Z is consistent, efficient, and unbiased. It ensures that the estimated coefficients and their standard errors are well-defined and meaningful in econometric models. Furthermore, positive definiteness of the matrix helps in verifying the assumptions of econometric models, such as the assumption of non-multicollinearity among the regressors. It also ensures that the estimators are stable and robust to perturbations in the data. Overall, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] provides theoretical and practical foundations for reliable and valid statistical inference in econometrics.

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Answer:

480 bees.

Step-by-step explanation:

In the test sample, 10 out of the 50 bees observed (20%) flew west. We can assume that 20% of all bees in the hive fly west.

20% of 2400 is 480.

Answer:

See below.

Step-by-step explanation:

Here's a number line showing the points that represent the values of x that satisfy the equation x² = 16

       |---------------------------|---------------------------|

      -4                          0                           4

On this number line, I have marked the points -4, 4, which are the two solutions to the equation x² = 16. These values of x make the left-hand side of the equation equal to 16.

Given information: Mass of dolphin, m = 1800 N; Height of jump, h = 2.10 m.

The gravitational potential energy of the dolphin can be calculated as follows: Gravitational potential energy = mgh where, m is the mass of the dolphin, g is the acceleration due to gravity, and h is the height of the jump.

Given that the dolphin jumps from the water, its initial potential energy is zero. Hence, the total energy of the dolphin is equal to the potential energy at the highest point. At this point, the kinetic energy of the dolphin is also zero. Therefore, the energy conservation equation can be written as follows: mg h = (1/2)mv²where, v is the velocity of the dolphin just before it jumps out of the water.  

Solving for v, we get v = sqrt(2gh)where sqrt denotes the square root, g is the acceleration due to gravity, and h is the height of the jump. Substituting the given values, we get v = sqrt(2 x 9.8 x 2.10)v = 6.22 m/s Therefore, the dolphin must be moving at a speed of 6.22 m/s as it leaves the water in order to jump to a height of 2.10 m.

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Answer:

it is already conjucated i belive

Step-by-step explanation:

Answer:

a) 130 dollars

b) 220 units

c) 0 units