Suppose the judge decides to acquit all defendants, regardless of the evidence, what is the probability of type i error?

To plot the data above with black asterisk using Matlab, the command is:

plot(X,Y,'k*')

Explanation: To plot data above in Matlab, we will use the 'plot' function.

The 'plot' function is used to create 2D line plot with the first input parameter specifying the x-coordinates, the second input parameter specifying the y-coordinates and so on.

The parameters X and Y in this question are vectors containing the x and y coordinates of the data points respectively. The 'k*' argument specifies that the plot should use a black asterisk marker.

The general syntax for plotting a set of data points in Matlab is as follows:

plot(X, Y, MarkerSpec)

Where MarkerSpec represents the type of marker used to denote each point in the plot.

The 'k*' argument represents a black asterisk.

Therefore, the command to plot the data above with black asterisk using Matlab is:

plot(X,Y,'k*')

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So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.

Answer:

a cycle is a sequence of non-repeated vertices and the degree of a graph is the number of neighbors the vertex has.

The maximum number of sheets of paper that can fit in the tray is 625 of a printer paper tray is 5 cm deep one sheet of paper is 8x10 to the power of -3 cm thick

To determine the maximum number of sheets of paper that can fit in the tray, we need to find the total thickness of the paper.

Since one sheet of paper is 8x10^-3 cm thick, if we have n sheets of paper, the total thickness will be:

total thickness = n * 8x10^-3 cm

And since the tray is 5 cm deep, the maximum number of sheets of paper that can fit in the tray is given by:

n = 5 / (8x10^-3) = 5 / 0.008 = 625

So, the maximum number of sheets of paper that can fit in the tray is 625.

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Answer:infinite solution

8(k - 6) + 58 = 2(4k + 5)

⇔ 8k - 48 + 58 = 8k + 10

⇔ 10 = 10

=> infinite solution

Step-by-step explanation:

The area of the parallelogram that has a base of 98 in. and a height of 5.6 in. is calculated as: 54.88 in.².

The area of a parallelogram is calculated as the product of its base length and its height. That is:

Area of parallelogram = base × height.

From the image given, we have the given dimensions of the parallelogram that we can use to find its area:

Base = 9.8 in.

Height = 5.6 in

Plug in the values:

Area of parallelogram = 9.8 × 5.6

Area of parallelogram = 54.88 in.²

Therefore, the exact answer is, 54.88 in.².

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Answer:  To find the ratio of the length of the shorter stick to the length of the longer stick, we need to divide the length of the shorter stick by the length of the longer stick:

11 inches ÷ 14 inches = 11/14

So, the ratio of the length of the shorter stick to the length of the longer stick is 11/14.

Step-by-step explanation:

Answer:

0.9333=9333 / 10000

Step-by-step explanation:

Rewrite the decimal number as a fraction with 1 in the denominator

0.9333=0.9333 / 1

Multiply to remove 4 decimal places. Here, you multiply top and bottom by 104 = 10000

0.9333 / 1   ×   10000 / 10000  =  9333 / 10000

In conclusion,

0.9333  =  9333 / 10000

Answer: 16

Step-by-step explanation:

The fraction in simplest form is 7

First, you must simplify the numerator and denominator of the fraction.

\(\frac{14}{2}\)

Then, divide the numerator by the denominator

7

The correct answer is c. Quadrant II.To plot the point for July 1910, we need to determine the month number for July 1910. Since January 1950 corresponds to the month 0, we need to count the number of months from January 1950 to July 1910.

There are 40 years between January 1950 and July 1990, which is 480 months. July 1910 is 40 years before January 1950, which is another 480 months. So, the month number for July 1910 is -480.

The temperature of 71 degrees Fahrenheit is positive, so the point will be in either Quadrant I or Quadrant II. However, since the month number is negative, the point will be to the left of the y-axis. Therefore, the point will be in Quadrant II.

So, the correct answer is c. Quadrant II.

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Answer:

would come out as a very weird answer

Step-by-step explanation:

(4/5)^7(5/4)^7

Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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the answer

155

324

5/9 (87/3(1/12)= 155/324

The variables of farmer are independent variables and dependent variables.

In this scenario, the farmer is testing the impact of different amounts of nitrogen on corn plant height. Her variables are as follows:

1. Independent variable: The amount of nitrogen infused in the soil (one pot has nitrogen-infused soil and the other has regular soil).

2. Dependent variable: The height of the corn plants (measured in feet).

However, it's important to note that the experimental setup has a potential confounding variable, which is the location of the pots (one is outside and the other is in the bathroom). This might influence the results and make it difficult to solely attribute the differences in height to the nitrogen content in the soil.

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Answer:

135 feet.

Step-by-step explanation:

Perimeter = 2 ( L+B )

930 = 2 ( L+330 )

930 = 2L + 660

2L = 930 - 660

2L = 270

Length = 135

If a gardner plants 90 seedlings. the number of seedlings in each row is 3 more than twice the number rows then 43.5 number of rows are planted by the gardner.

Two or more expressions with an Equal sign is called as Equation.

Given,

Gardner plants 90 seedlings

The number of seedlings in each row is 3 more than twice the number rows.

We need to find the number of rows.

Let r be the number of rows

2r+3=90

Subtract 3 from both sides

2r=87

Divide both sides by 2

r=43.5

Hence, 43.5 number of rows are planted by the gardner.

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xy + xz is an even integer & x is even and y + xz is an odd integer &  either (x-1) is even or (y-z) is even .

1. xy + xz is an even integer - SUFFICIENT

Given:

xy + z is odd ...(i)

xy + xz is even ...(ii)

subtracting (ii) from (i)

we get xz - z, which should be odd (* since odd - even = odd)

=> z(x-1) is odd

=> both z and (x-1) is odd

=> since (x-1) is odd, x must be even.

2. y + xz is an odd integer -INSUFFICIENT

Given:

xy + z is odd ...(i)

y + xz is odd ...(ii)

subtracting (ii) from (i)

we get xy + z - y - xz

= (x-1)(y-z) , which should be even

=> either (x-1) is even or (y-z) is even ....insufficient to determine

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The angle ∅ to the nearest tenth is 51.8 degrees.

The trigonometric ratio can be solved as follows:

tan ∅  = 14 / 11

We are asked to solve for the angle ∅.

Therefore,

tan ∅  = 14 / 11

∅ = tan⁻¹ 14 / 11

Hence,

∅ = tan⁻¹ 1.27272727273

∅ = 51.8421769502

Therefore,

∅ = 51.8 degrees

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When using the least-squares line for prediction, the results are generally more reliable for interpolation rather than extrapolation. Interpolation refers to predicting values within the range of the data used to create the least-squares line, while extrapolation involves predicting values beyond that range. The reliability of extrapolation decreases because it assumes that the relationship between the variables continues outside the observed data, which may not always be accurate due to potential unforeseen factors or changes in the underlying relationship.

The least-squares line is a method used to find the best-fit line that minimizes the sum of the squared residuals between the observed data points and the predicted values on the line. It is commonly used for linear regression analysis to make predictions based on the relationship between two variables.

When using the least-squares line for interpolation, the predicted values are within the range of the data used to create the line. In this scenario, the least-squares line provides a reliable estimate because it is based on observed data points and their relationship. Interpolation assumes that the underlying relationship between the variables remains relatively consistent within the observed range.

However, when it comes to extrapolation, the reliability of the results decreases. Extrapolation involves predicting values beyond the observed range of the data. While it is possible to extend the least-squares line to make predictions, it assumes that the relationship between the variables continues in the same manner outside the observed range. This assumption may not always hold true due to potential unforeseen factors or changes in the relationship between the variables.

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Answer:

Answer 1: C = 2πr or C = πd

Answer 2: d = 9 feet

Answer 3: r = 4.5 feet

Step-by-step explanation:

Answer 1: C = 2πr or C = πd

Answer 2: 28.26 = πd

                 28.26 = 3.14(d)

                 28.26/3.14 = d

                  9 = d

Answer 3: r = d/2

                 r = 9/2

                 r = 4.5

Answer:

image cheating xD

Step-by-step explanation:

Answer:

a) X= 13

b) already answered

c) 18

d) 2

Answer: 5250 milliliters

Step-by-step explanation:

i hope this will be helpful

Answer:

1 : 57,800.

2: 268,335

Step-by-step explanation:

hope it helps you

The expressions are evaluated using distributive property below -

We have -

i. 425 x 136

ii. 4005 x 67

We have to evaluate them with help of distributive property.

Distributive property of multiplication over addition :  

a × (b + c) = a × b + a × c

According to question, we have -

i. 425 x 136

ii. 4005 x 67

Now -

425 x 136 = 425 x (6 + 30 + 100) = 425 x 6 + 425 x 30 x 425 x 100

and

4005 x 67 = 4005 x (60 + 7) = 4005 x 60 + 4005 x 7

Hence, the evaluation using distributive property is done.

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The present age of George is 25 years and the present age of Harry is 17 years

For given question,

Let x be the age of George and y be the age of Harry.

George is now 8 years older than harry.

So, we get an equation,

x = y + 8                      ...................(1)

After 5 years the age of George will be x + 5 and the age of Harry will be    y + 5

Two years ago the age of Harry = y - 2

In 5 years George will be twice as Harry was 2 years ago.

So we get an equation,

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

Substitute the value of x in equation (2)

⇒ x + 5 = 2(y - 2)  

⇒ y + 8 + 5 = 2y - 4

⇒ y + 13 = 2y - 4

⇒ y = 17

Substitute the above value of y in equation (1)

⇒ x = 17 + 8

⇒ x = 25

Therefore, the present age of George is 25 years and the present age of Harry is 17 years

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Answer:

Ya me tooo sorry

Step-by-step explanation:

The domain and range are Domain = All real numbers and Range = y = 1

The y-intercept is 1

The function has no asymptotes

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

\(\( f(x)=\left(\frac{2}{2}\right)^{x} \)\)

Evaluate

f(x) = 1ˣ

So, we have

f(x) = 1

From the above, we have

Domain = All real numbers

Range = y = 1

This is when x = 0

So, we have

f(0) = 1

Hence, the y-intercept is 1

Lastly, the function has no asymptotes

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we can isolate x by subtracting 67 from both sides of the equation, which gives us x = y - 67.

126 - y = 24 + x + 35

126 - y = 59 + x

y - x = 67

x = y - 67

We can solve this problem by writing an equation that expresses the values of m/1, m/2, and m/3. The first step is to set m/1 equal to the sum of m/2 and m/3. This equation is stated as 126 - y = 24 + x + 35. Next, we can simplify this equation by combining like terms on the right side. We can do this by adding 24 and 35, which gives us 59 + x. After this, we can subtract y from both sides of the equation, which gives us y - x = 67. Finally, we can isolate x by subtracting 67 from both sides of the equation, which gives us x = y - 67.

The complete question is :

Given the following measurements, m/1 = (126 - y)°, m/2 = 24° , and m/3 = (x + 35)°, what is the value of x in terms of y?

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