Find mZRPQ.
11
80°
B
S
[P
Q
R
150°
go to (-5, 1)
go to (-4, 2)
a) 115°
b) 350
c) 80°
d) 1500
e) 75°
go to (-2, 1)
go to (6,0)
go to (8,2)

Answer:

it's b or 4.03

Step-by-step explanation:

your welcome

Answer:

≈84,13%

Step-by-step explanation:

To find the probability of a student liking between 5.5 and 8.5 songs from Eminem, we need to find the standard normal deviate (z-score) for each of these values and then use a standard normal table to find the area between these z-scores.

For 5.5 songs:

z = (5.5 - 7.0) / 1.5 = -1.0

For 8.5 songs:

z = (8.5 - 7.0) / 1.5 = 1.0

The area between -1.0 and 1.0 on a standard normal distribution table is approximately 0.8413. This means that the probability of an individual student liking between 5.5 and 8.5 songs from Eminem is approximately 84.13%.

Answer:

66.3333333333 depending on the decimal point you'd go to

The shapes are a cone and cylinder. The surface area of the cylinder is 107 ft² and the approximate surface area of the cone is 254 ft² approximately.

The appropriate shape to model the trunk of the tree is a cylinder and the appropriate shape to model the rest of the tree is a cone.

The surface area of the cylinder can be estimated as:

Surface area of cylinder = 2πr h + 2πr²

where r = radius of the cylinder (half of width of trunk) and h = height of the cylinder (height of tree minus length of branches).

Using the given measurements, estimate the surface area of the cylinder as:

Surface area of cylinder = 2π(1) (30 - 10 - 4) + 2π(1)² = 2π(16) + 2π = 34π ≈ 107 ft²

The surface area of the cone can be estimated as:

Surface area of cone = πr s + πr²

where r = radius of the base of the cone and s = slant height of the cone.

Using the given measurements, estimate the radius of the cone as:

radius = 10/2 = 5 feet

Estimate the slant height of the cone using the Pythagorean theorem:

s² = r² + h²

where h = height of the cone (length of branches) and r = radius of the base.

Using the given measurements, estimate the slant height of the cone as:

s² = (5)² + (10)²

s² = 125

s ≈ 11.2 feet

Using these estimates, estimate the surface area of the cone as:

Surface area of cone = π(5)(11.2) + π(5)² = 56π + 25π = 81π ≈ 254 ft²

Therefore, the approximate surface area of the cylinder is 107 ft² and the approximate surface area of the cone is 254 ft².

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Answer:

Explanation: Im built different

Answer:

\(\frac{\text{2csc(2t)}}{\text{sec(t)}}\)

Step-by-step explanation:

\(\frac{\text{cot(t)+tan(t)}}{\text{sec(-t)}}\)

~Use the identity [ sec(-x) = sec(x) ]

\(\frac{\text{cot(t)+tan(t)}}{\text{sec(t)}}\)

~Simplify

\(\frac{\text{2csc(2t)}}{\text{sec(t)}}\)

Best of Luck!

Answer:

the graph is symmetric about the line y=-1

Step-by-step explanation:

A function is symmetric about y=a when the following is true for all points: f(a-x) = f(a+x). By just looking at the graph, it appears to be symmetric about y=-1, and it can be further proven, by finding the difference of two points, that have the same y-value. So for example if you look at (0, 1) and (-2, 1). The difference between 0 and -1 is 1, and the difference between -2 and -1, is also 1. And this appears to be true for all the other values as well. So the graph is symmetric about the line y=-1

Answer:

The graph is symmetric about the line x=-1

Step-by-step explanation:

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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We need a sample size of at least 97 companies to estimate the population mean price-earnings ratio with a margin of error of 0.5 and a 95% confidence level, assuming the population standard deviation is 3.5.

To determine the sample size, we need to use the formula for the margin of error of a confidence interval for a population mean:

Margin of error = \(z*(\sigma/\sqrt{n} ))\)

where:

z = the z-score associated with the desired level of confidence

sigma = the population standard deviation

n = the sample size

We don't know the desired level of confidence or the margin of error, so we can't solve for n directly.

However, we can rearrange the formula to solve for n:

\(n = (z*\sigma/M)^2\)

where M is the desired margin of error.

We can use a margin of error of 0.5 (meaning we want our estimate to be within 0.5 units of the true population mean with a certain level of confidence), and a 95% confidence level, which corresponds to a z-score of 1.96.

Plugging in the values, we get:

\(n = (1.96*3.5/0.5)^2\)

n ≈ 96.04.

Since we need a whole number for the sample size, we can round up to the nearest integer and conclude that the sample size must be at least 97.

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Based on the computed 95% confidence interval, we can conclude that we are 95% confident that the true population mean falls within the range of 12.65 to 25.65.

A confidence interval is a range of values that provides an estimate of the true population parameter. In this case, we are interested in estimating the population mean (μ). The 95% confidence interval, as mentioned, is given as 12.65 ≤ μ ≤ 25.65.

Interpreting this confidence interval, we can say that if we were to repeat the sampling process many times and construct 95% confidence intervals from each sample, approximately 95% of those intervals would contain the true population mean.

The confidence level chosen, 95%, represents the probability that the interval captures the true population mean. It is a measure of the confidence or certainty we have in the estimation. However, it does not guarantee that a specific interval from a particular sample contains the true population mean.

Therefore, based on the computed 95% confidence interval, we can conclude that we are 95% confident that the true population mean falls within the range of 12.65 to 25.65.

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Answer:

9

Step-by-step explanation:

BECAUSE 54 : 2,3,9. and 45 : 5,9. so the greatest common factor is 9

If 250 Bell laptops are to be produced, then 250 hard drives will be required.

According to the product structure tree for Bell laptops on page 4 of the lecture materials on Master Scheduling and Bill of Materials, the total number of hard drives (01-hdrive) required to produce 250 Bell laptops is 250.Each Bell laptop requires one hard drive to be produced.

Therefore, if 250 Bell laptops are to be produced, then 250 hard drives will be required.

This can be seen in the product structure tree where the hard drive is a sub-assembly of the Bell laptop, and each Bell laptop requires exactly one hard drive. The product structure tree also shows that each hard drive requires a number of components to be produced, such as a hard drive case, a circuit board, and a motor.

These components are also shown as sub-assemblies of the hard drive.

Overall, the product structure tree is a useful tool for understanding the relationships between the components and sub-assemblies that are required to produce a finished product. It provides a detailed breakdown of the product structure, which is essential for effective production planning and scheduling.

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Answer:

Step-by-step explanation:

Substitute values into given equation and solve for P(t):

Answer: \(\frac{3}{4}\)

Step-by-step explanation: \(\cos(C) = \frac{\sqrt3}{2} = \sin(A), \frac{\sqrt3}{2} \cdot \frac{\sqrt3}{2} = \frac {3} {4}\)

The area of the rectangle is 11.76 cm². However, when rounding to two significant figures, the area becomes 11.8 cm². This rounded value should be used as the area of the base when calculating the answer for Part C. Option A

When calculating the area of a rectangle, we multiply the length by the width. Given that the rectangle has a width of 2.1 cm and a length of 5.6 cm, multiplying these values gives us an area of 11.76 cm². However, we are asked to round the answer to two significant figures.

To round to two significant figures, we look at the digit immediately after the second significant figure. In this case, the digit is 7. Since 7 is equal to or greater than 5, we round up the preceding digit, which is 6. Thus, when rounding to two significant figures, the area becomes 11.8 cm².

Therefore, the value to be used as the area of the base when calculating the answer for Part C is 11.8 cm². It is important to use the rounded value to maintain the appropriate significant figures in the final answer.

Option A

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Triangles DBC1 and DCA1 are similar by Angle-Angle (AA) similarity criterion.

The problem you are referring to is known as the Sharygin 2012 problem. To prove that line segment A1C1 is parallel to AC, we can make use of similar triangles and the properties of tangent lines.
Let's start by drawing the given triangle ABC and point D on side AC. Draw the tangent to the circumcircle of triangle BDC at point D, and label the intersection of this tangent with side AB as C1. Similarly, label the intersection of the tangent to the circumcircle at point D with side BC as A1.
Now, we need to show that A1C1 is parallel to AC. To do this, we can use the property that angles formed by tangents and chords are equal. Since DC1 is a tangent to the circumcircle of BDC, we have angle DBC1 = angle DC1B. Similarly, since DA1 is a tangent to the circumcircle of ADC, we have angle DCA1 = angle DA1C.
Next, we need to show tha triangles DBC1 and DCA1 are similar. Since both triangles share the same angles at D and C, we only need to prove that angle C1DB = angle A1DC.
By using the property of tangents and chords, we know that angle C1DB = angle DCB (angle between tangent and chord). Similarly, angle A1DC = angle DAC (angle between tangent and chord).
Since angles DCB and DAC are equal (corresponding angles in similar triangles ABC and DCA), we can conclude that angle C1DB = angle A1DC.
Finally, since A1C1 is a line segment connecting corresponding vertices of similar triangles DBC1 and DCA1, we can conclude that A1C1 is parallel to AC.

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Answer:

\(\dfrac{5}{2}\pi\)

Step-by-step explanation:

Rotation about the y-axis

\(\textsf{Volume}=\displaystyle \int^b_a \pi x^2\:\text{d}y\)

where:

Given function of y:  \(y = 3x^2\)

Rewrite the given function as a function of y:

\(\implies x^2=\dfrac{1}{3}y\)

Substitute the values into the formula:

\(\implies \displaystyle \int^4_1 \dfrac{1}{3}\pi y\:\:\text{d}y\)

\(\boxed{\begin{minipage}{5 cm}\underline{Terms multiplied by constants}\\\\$\displaystyle \int ay^n\:\text{d}y=a \int y^n \:\text{d}y$\end{minipage}}\)

\(\boxed{\begin{minipage}{4 cm}\underline{Integrating $y^n$}\\\\$\displaystyle \int y^n\:\text{d}y=\dfrac{y^{n+1}}{n+1}+\text{C}$\end{minipage}}\)

Take out the constant and integrate:

\(\begin{aligned}\implies \dfrac{1}{3}\pi\displaystyle \int^4_1 y\:\:\text{d}y & = \dfrac{1}{3}\pi \left[\dfrac{1}{2}y^2\right]^4_1\\\\& =\dfrac{1}{3}\pi \left[\dfrac{1}{2}(4)^2-\dfrac{1}{2}(1)^2\right]\\\\&=\dfrac{1}{3}\pi\left[8-\dfrac{1}{2}\right]\\\\&=\dfrac{5}{2}\pi \end{aligned}\)

Therefore, the exact value of the volume of revolution is:

\(\dfrac{5}{2}\pi\)

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Answer: x=4

Step-by-step explanation:

x+8=12

x+8-8=12-8=4

x=4

Answer:

P=7

Step-by-step explanation:

4+5(7-1) = 34

4 + 5(6) = 34

4+30=34

34=34

Answer:

10,20,10,10,10,20 tenths

Answer:

12.2

Step-by-step explanation:

The mean is the average, so we add up the number of movies, and divide by 6 beacause they are reported by 6 students

Mean (Average) = (12+17+8+13+5+18) / 6

Mean (Average) = 73 / 6

Mean (Average) = 12.16666667

The problem asks us to round to the nearest tenth, which is the first decimal place.

Since the 2nd decimal place, 6, is more than 5, we round the first decimal place up to one and remove the rest.

12.2

Answer:

24 es la respuesta correct

Step-by-step explanation:

Answer:

18cm

Step-by-step explanation:

add both bases (4+8) and then divide by 2

12/2=6

the multiply by 3

6x3=18

prolly a bad explaination but hope it helps <3

Let:

x = Speed of the boat downstream

y = Speed of the boat upstream

A river cruise boat sailed 120 miles down the Mississippi River for six hours. So:

It took eight hours to return. So:

Using elimination method:

Replace x into (2):

Therefore, the rate of the cruise boat in still water is 17.5 mph and the rate of the current is 2.5mph

The equation of a line of best-fit that reflects a negative correlation is y = mx + b, where the slope m is negative.

When analyzing a scatter plot, a negative correlation indicates that as the independent variable increases, the dependent variable decreases. In the equation y = mx + b, the negative slope m represents the rate of decrease in the dependent variable for each unit increase in the independent variable. A negative slope means that as the x-values increase, the corresponding y-values decrease. The y-intercept b represents the value of the dependent variable when the independent variable is zero. Thus, the equation y = mx + b with a negative slope indicates a negative correlation between the variables being studied.

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"What is the equation of the line of best fit that represents a negative correlation between two variables?"

The concept that relates how much one variable changes as another variable changes is Slope.

Slope is a numerical representation of how inclined a line is with respect to the horizontal. The ratio of the vertical to the horizontal distance between any two points on a line, ray, or line segment is known as its slope in analytic geometry ("slope equals rise over run").

The ratio of the increase in elevation between two points to the run in elevation between those same two points is referred to as the slope. The slope expresses how quickly the dependent variable changes when the independent variable changes. The Greek capital letter D or D is frequently used by mathematicians and economics to represent change. Slope contrasts changes in y or the vertical axis with changes in x or the horizontal axis.

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Answer: 16 hours

Step-by-step explanation:

Given

Carla earns \(\$5\) for each hour she works

Last week she earned $148 total including \(\$68\) tip

So, the sum of hourly income and must be equal to the total money earned

Suppose she works for \(x\) hours

\(\Rightarrow 5x+68=148\)

\(\Rightarrow 5x=148-68\\\Rightarrow 5x=80\\\Rightarrow x=16\ \text{hours}\)

Thus, she works 16 hours last week

Answer:

f(5)=52

Step-by-step explanation:

f(a)=7(a+3)-4

f(5)=7(5+3)-4

f(5)=7(8)-4

f(5)=56-4

f(5)=52

Answer:

S I = PRT/100

=1450×2.5×2/100

=1455/100

=14.55

S I =PRT/100

390×3×5/100

5850/100

58.5

To test the effect of living environment on cholesterol levels using samples from rural and urban areas, the best statistical test to utilize would be the two-sample t-test.

The two-sample t-test is appropriate in this case because it compares the means of two independent groups (rural and urban residents) to determine if there is a significant difference between their cholesterol levels.

This test will help researchers determine if living environment has an impact on cholesterol levels.

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Answer:

3

Step-by-step explanation:

8*3=24