A 3-column table with 4 rows. The first column is labeled Currency and entries Canadian dollar, Euro, Japanese yen, Indian rupee. The second column is labeled U S D/1 Unit and entries 0.97071, 1.35261, 0.01007, 0.01594. The third column is labeled Units/1 U S D and entries 1.03069, 0.73935, 99.90487, 62.72053.


Mitchell travels from the US to Canada, where he exchanges 150 US dollars for Canadian dollars. He then spends 20 Canadian dollars, returns to the US, and exchanges the remaining money back to US dollars. How many US dollars does Mitchell have remaining?

129.46
130.00
130.66
134.59

The smallest distance it has to go to get back to the starting tree is \(3\sqrt{5}\)when traveling 6 miles to the south before turning 3 miles to the east.

According to Pythagoras's Theorem, the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides. Perpendicular, Base, and Hypotenuse are the names of this triangle's three sides. The Pythagorean Theorem demonstrates how to calculate the side lengths of a right triangle by adding the areas of three intersecting squares. As the foundation for more intricate trigonometry theories like the Pythagorean theorem's opposite, this theorem is a very helpful tool.

given

by pythagoras theorem :-

shortest distance = \(c^{2} = a^{2} + b^{2} \\\)

\(c^{2} = 6^{2} + 3^{2} \\c^{2} = 36 + 9\\c^{2} = 45\\c = 3\sqrt{5}\)

The smallest distance it has to go to get back to the starting tree is \(3\sqrt{5}\)when traveling 6 miles to the south before turning 3 miles to the east.

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The inference procedure for each is give below-

A. The inference procedure: Confidence Interval - One mean, μ.

C. The inference procedure: Hypothesis test - Difference in proportions from two samples, P1-P2.

E. The inference procedure: Confidence Interval - One proportion, p.

G. The inference procedure: Confidence Interval - Difference in proportions from two separate samples, M1-M2

I. The Inference procedure: Hypothesis test - Difference in means from two independent samples.

K. The Inference procedure: Hypothesis test - Paired means, HD.

B. The Inference procedure: Hypothesis test - Difference in proportions from two samples, P1-P2.

D. The Inference procedure: Hypothesis test - One mean, μ.

F. Inference procedure: Confidence Interval - Paired means, HD.

H. Inference procedure: Hypothesis test - One proportion, p.

J. Inference procedure: Confidence Interval - Difference in means from two independent samples.

L. It doesn't directly involve inference.

Now we have-

A. What's the average number of free throws for the Warriors to attempt during a game?

Distribution type: z

C. Do the Warriors make more free throws (on average) during games at home than on the road?

Simulation type: BT (bootstrap)

Distribution type: z

E. What proportion of free throw attempts do the Warrior players make?

Simulation type: BT (bootstrap)

Distribution type: z

G. How much better (or worse) are the Warriors at making free throw attempts compared to their opponents?

Simulation type: BT (bootstrap)

Distribution type: z

I. Is the mean number of free throw attempts awarded to the Warriors during their games different from the mean number attempted by their opponents?

Distribution type: z

K. (Challenge) On average, is the point spread when GSWarriors win larger than the point spread when they lose?

Simulation type: BT (bootstrap)

Distribution type: z

B. Is the proportion of free throws made by the Warriors different between games they play at home and those they play on the road?

Simulation type: BT (bootstrap)

Distribution type: z

D. Over the past 10 years, NBA teams have averaged close to 25 free throw attempts per game. Treating this as the population mean, is the mean number of free throw attempts by the Warriors much different?

Simulation type: BT (bootstrap)

Distribution type: z

F. How many more (or fewer) free throw attempts do the Warriors take on average for home games compared to road games?

Simulation type: BT (bootstrap)

Distribution type: z

H. Players in the NBA as a whole make about 75.6% of their free throws. Is the proportion made by the Warriors different from this?

Simulation type: BT (bootstrap)

Distribution type: z

J. How does the average number of free throws made (per game) by the Warriors compare to their opponents?

Distribution type: z

L. (Extra) On average, what is the point spread in GS Warrior games? (where "+" means they won; "-"means they lost)

This case doesn't directly involve inference.  As it requires calculating the average point spread, but it doesn't involve making statistical inferences about a population parameter.

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Hey there!☺

\(Answer:\boxed{y=-3x+5}\)

\(Explanation:\)

Solve for y | \(9x+3y=15\)

Let's start by adding -9x to both sides of the equation:

\(9x+3y+-9x=15+-9x\\3y=-9x+15\)

Now in our second/last step, we will divide both sides by 3:

\(\frac{3y}{3}=\frac{-9x+15}{3}\\y=-3x+5\)

y=-3x+5 is your answer.

Hope this helps!☺

The required solution of the expression 9x+3y=15 for y is y = [15 - 9x] / 3.

To simply the given expression 9x+3y=15 for y.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

The equation is the relationship between variables and is represented as y =ax +b is an example of a polynomial equation.

Here,

9x+3y = 15
Simplification of the equation
⇒ 9x + 3y = 15
⇒ 3y = 15 - 9x

⇒ y = [15 - 9x] / 3

Thus, The required solution of the expression 9x+3y=15 for y is y = [15 - 9x] / 3.

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Answer:

18

Step-by-step explanation:

A direct proportion can be defined as the relationship between two (2) variables that has a constant value (k) for their ratio.

Mathematically, direct proportion is given by the formula;

y = kx

Where;

y and x represents the two (2) variables.

k is the constant of proportionality.

Since we know that, y varies directly has x

when y = 3 and x =2

Substituting into the equation, we have;

3 = k*2

k = 3/2

k = 1.5

Now to find y, when x = 12

y = 1.5*12

y = 18

Answer:

25 multiple choice and 15 open-ended

Step-by-step explanation:

25 x 5 = 125

15 x 15 = 225

125 + 225 = 350

Answer: 3.46

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

he started by cutting one log into 3

1×3=3

then cutting each of those into 3

3×3=9

then again

9×3=27

Based on the IQR values, we conclude that Bus 18 is more consistent than Bus 47, as it has smaller IQR. This means the travel times of students on Bus 18 are more tightly clustered around the median, and are fewer outliers in data.

A line plot is a type of graph that displays data as points or dots along a number line. Each dot or point represents a single data value, and the number line shows the range of the data. Line plots are useful for displaying small to moderate-sized data sets and for identifying the central tendency and variability of the data.

To determine which bus is the most consistent, we need to look at the variability of data. The most appropriate measure of variability for this purpose is the interquartile range (IQR), which is the range of the middle 50% of the data.

From the given data, we can calculate the IQR for both buses as follows:

For Bus 18:

Lower quartile (Q1) = 8

Upper quartile (Q3) = 24

IQR = Q3 - Q1 = 24 - 8 = 16

For Bus 47:

Lower quartile (Q1) = 10

Upper quartile (Q3) = 34

IQR = Q3 - Q1 = 34 - 10 = 24

The range, which is the difference between the maximum and minimum values, is not as appropriate a measure of variability for this purpose, as it is heavily influenced by outliers. Therefore, we cannot use the range to determine the consistency of the data for either bus.

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Answer:

Option 2 is a representation of independent events.

In option 2, the simulation involves randomly pulling a piece of hard candy out of a bag and eating it, then pulling out another piece. The act of pulling out one piece of candy does not affect the probability of pulling out another piece, as each piece is independent of the others.

In contrast, the other simulations involve dependent events. In option 1, the probability of selecting a slip of paper changes after each selection because the slips of paper are not replaced. In option 3, the probability of getting a certain outcome on the second spin is influenced by the outcome of the first spin. In option 4, the probability of selecting a certain card for the second draw is affected by which card was selected and removed from the deck in the first draw.

Step-by-step explanation:

approximately 50 % of the values in a normal distribution will lie below the mean, and the remaining 50 % will lie above the mean.

In a normal distribution, approximately 50 % of the values lie below the mean.

A normal distribution is symmetric around its mean, with the mean located at the center. Since the distribution is symmetric, half of the values will fall below the mean and the other half will fall above the mean.

Therefore, approximately 50 % of the values in a normal distribution will lie below the mean, and the remaining 50 % will lie above the mean.

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Approximately 50% of the values lie below the mean in a normal distribution.

In a normal distribution, the mean is located at the center of the distribution. The distribution is symmetric, meaning that there are an equal number of values on both sides of the mean. To determine the percentage of values below the mean, we need to find the area under the curve to the left of the mean.

In a standard normal distribution, which has a mean of 0 and a standard deviation of 1, approximately 50% of the values lie below the mean. This means that if we were to calculate the area under the curve to the left of the mean, it would be approximately 0.5 or 50%.

It's important to note that in a normal distribution with a different mean and standard deviation, the percentage of values below the mean may vary. However, the concept remains the same - the area under the curve to the left of the mean represents the percentage of values below the mean.

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Answer:

x=-3

Step-by-step explanation:

-x-20=4x-5

-20=5x-5

-15=5x

x=-3

Answer:-

-3

Step-by-step explanation:

-x - 20 = 4x - 5 ->   -20 = 5x - 5   ->   -15 = 5x  ->   x = -3

Answer:

2nd option will be the answer (y=4x²+48x+146)

Step-by-step explanation:

y=4(x+6)²+2

y=4(x²+2*x*6+6²)+2 [(a+b)²=a²+2ab+b²]

y=4(x²+12x+36)+2

y=4(x²)+4(12x)+4(36)+2

y=4x²+48x+144+2

y=4x²+48x+146

The side lengths x and y are √( 50² - y²) and √50² - x² respectively.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

In a right angle triangle, the length of one side can be determined using the Pythagorean theorem:

x² + y² = hypotenuse²

In the given triangle the length of hypotenuse is 50 cm

x² = 50² - y²

x=√( 50² - y²)

y = √50² - x²

Hence, the side lengths x and y are √( 50² - y²) and √50² - x² respectively.

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The total number of different choices for the representative is 114

The number of choices for the representative to the university committee is the sum of the number of CS faculty members and the number of CS majors who are not faculty members.

Since no one can be both a faculty member and a student.

The number of choices for a faculty member is simply the number of members of the CS faculty, which is 9.

The number of choices for a CS major who is not a faculty member can be calculated by subtracting the number of CS faculty members from the total number of CS majors: 114 - 9 = 105.

Therefore, the total number of different choices for the representative is:

9 + 105 = 114

So there are 114 different choices for the representative to the university committee.

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So, in response to the above question, we can state that As a result, equation Alden paid interest of $816.75 for the month of January.

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical. For examples, in the equation 3x + 5 = 14, because equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The emblem and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.

We must first estimate the monthly mortgage payment using the monthly mortgage payment table in order to compute the amount of interest paid for the month of January.

The table shows that the monthly payment per $1,000 borrowed for a 30-year loan at 4% interest is $4.77. So, the following formula may be used to determine Alden's mortgage payment each month:

$275,000 / $1,000 = 275

$275 x $4.77 = $1,311.75 (monthly mortgage payment) (monthly mortgage payment)

Alden's January mortgage payment included $495 towards the principle, with the balance going to interest. The amount of interest paid can be determined as follows:

$1,311.75 - $495 = $816.75

As a result, Alden paid interest of $816.75 for the month of January.

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Answer:

< 5 + < 6 = 180°

Step-by-step explanation:

The sum of angles 5 and 6 are 180° because they are adjacent supplementary angles--they have a common arm and a common vertex. The adjacent supplementary angles share the common line segment and vertex with each other. Two angles are also supplementary, if one of its angles is an acute angle and another angle is an obtuse angle. These characteristics match the given figure.

Therefore, < 5 and < 6 are supplementary angles, and have a sum of 180°.

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An acre is a unit of measurement used to quantify land area, and it is commonly used in the United States to measure the size of plots of land, farms, and estates. One acre is equal to 43,560 square feet.

To visualize an acre, imagine a rectangle that is approximately 208 feet by 209 feet, or a square that is approximately 209 feet on each side.

To convert acres to square feet, you can use the following formula:

1 acre = 43,560 square feet

Therefore, to convert acres to feet, you can simply multiply the acre value by 43,560. For example, if you want to convert 5 acres to square feet, you can use the following formula:

5 acres x 43,560 square feet per acre = 217,800 square feet

So 5 acres is equal to 217,800 square feet.

It's worth noting that the acre is a unit of measurement used primarily in the United States, and other countries may use different units of measurement to quantify land area. For example, in the metric system, the hectare is commonly used to measure land area, with 1 hectare equal to 10,000 square meters (about 2.47 acres).

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Answer:

2090

Step-by-step explanation:

0.06 × 2000 =120 therefore 120 × 24 =2088. and round off to the cent

a) When Lily's age is 20, and Raphael's age is divided by 3 then the expression of Lily's age in terms of h is h < 10.

b) Ethan's age is half of Raphael's age therefore, Ethan's age is half Raphael's age.

a) If Raphael is twice as old as his sister Lily, we can represent their ages as 2h and h, respectively, where h is Lily's age. The sum of their ages is less than 30, so we can write the equation:

2h + h < 30

Combining like terms, we get:

3h < 30

Dividing both sides by 3, we get:

h < 10

This is an expression of Lily's age in terms of h.

b) If Ethan's age is 16, and Raphael's age is twice Ethan's age, we can represent Raphael's age as 2 × 16 = 32.

Ethan's age is 16, which is half of Raphael's age of 32. Therefore, Ethan's age is half of Raphael's age.

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The question is -

Raphael is twice as old as his sister. The sum of their ages is less than 30.

a) Lily's age is 20, and Raphael's age is divided by 3. Write an expression in terms of h for Lily's age.

b) An expression for Ethan's age 16. Write a sentence to describe how Ethan's age compares with Raphael's age.

Answer:

The answer is 4cm.

Step-by-step explanation:

Given:

Height= 15cm

The volume of the Cylindrical bottle= 753.6

They have said to use π= 3.14

We are supposed to find r.

-------------------------------------------------------------

Volume of cylinder= πr²h

now substitute teh values given in the formula..we will get:

753.6 = 3.14× r²× 15

After u solve it , you will get

r²= 16

∴r = √16= 4cm

So,  the radius of the bottle is 4cm

Hope it helps!!

(0, 2): solution

(8, 1/2): not a solution

(-6, 3): solution

(-7, -3): not a solution

To deterien the points that are solution to the inequality 2y - x > 1, we can plot the points on the graph or we check each of the points using the inequality. If statement is correct, then it is a solution.

The given points: (0, 2), (8, 1/2), (-6, 3), (-7, -3)

Inequality: 2y - x > 1

when x = 0, y = 2

2(2) - 0 > 1

4 - 0 > 1

4 > 1 (statement is correct)

Hence, it is a solution

when x = 8, y = 1/2

2(1/2) - 8 > 1

1 - 8 > 1

-7 > 1 (statement isnot correct)

Hence, it isnot a solution

when x = -6, y = 3

2(3) - (-6) > 1

6 + 6 > 1

12 > 1 (statement is correct)

Hence, it is a solution

when x = -7, y = -3

2(-3) - (-7) > 1

-6 + 7 > 1

1 > 1 (statement is not correct)

Hence, it isnot a solution

The number of seats in the front row of the theater is a = [2y/(n(n-1)) - x/(n-1)]/2

Let's call the number of seats in the first row "a". We can use the information given in the problem to set up an equation in terms of "n", "d", "x", and "y"

y = a + (a + d) + (a + 2d) + ... + (a + (n-1)d) (1)

We can simplify this equation by using the formula for the sum of an arithmetic series

y = [n/2][2a + (n-1)d] (2)

We can solve this equation for "a" in terms of "n", "d", and "x"

2a = (2y/n) - (n-1)d - 2xd

a = [(2y/n) - (n-1)d - 2xd]/2

Since we know that the number of seats in the last row is "x", we can substitute that into the equation

x = a + (n-1)d

x = [(2y/n) - (n-1)d - 2xd]/2 + (n-1)d

Simplifying this equation gives us

2x = (2y/n) + (n-1)d

2d = (2x - (2y/n))/(n-1)

Now we can substitute this value of "d" into the equation we found for "a"

a = [(2y/n) - (n-1)d - 2xd]/2

a = [(2y/n) - x - (2x - (2y/n))/(n-1)]/2

a = [2y/(n(n-1)) - x/(n-1)]/2

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Answer:

20 and 42

Step-by-step explanation:

Let the greater number be x and the smaller number be y.

3(x +y)= 186

x +y= 186 ÷3

x +y= 62 -----(1)

x -y= 22

x= y +22 -----(2)

Substitute (2) into (1):

y +22 +y= 62

2y= 62 -22 (-22 on both sides)

2y= 40

y= 40 ÷2

y= 20

Substitute y= 20 into (2):

x= 20 +22

x= 44

Thus, the two numbers are 20 and 42.

The standard normal curve, also known as the standard normal distribution or the z-distribution, is a specific probability distribution that follows a bell-shaped curve. The area under the standard normal curve to the right of z = 3 is approximately 0.0013.

For the area under the standard normal curve to the right of z = 3, we need to calculate the cumulative probability from z = 3 to positive infinity.

The standard normal distribution, also known as the z-distribution, has a mean of 0 and a standard deviation of 1. It is a symmetric bell-shaped curve that represents the distribution of standard scores or z-scores.

Using statistical tables or software, we can find the cumulative probability associated with z = 3, which represents the area under the curve to the left of z = 3.

The cumulative probability for z = 3 is approximately 0.9987.

For the area to the right of z = 3, we subtract the cumulative probability from 1.

Therefore, the area to the right of z = 3 is approximately 1 - 0.9987 = 0.0013.

In conclusion, the area under the standard normal curve to the right of z = 3 is approximately 0.0013.

This means that the probability of randomly selecting a value from the standard normal distribution that is greater than 3 is approximately 0.0013 or 0.13%.

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Answer:

Step-by-step explanation:

y + y + 72 = 180

2y = 180 - 72

y = 108/2

y = 54°

Answer:

8.25 BRAINLIEST PLS

Step-by-step explanation:

Answer:

give them brainliest

Step-by-step explanation:

Answer:

If the x-coordinate is (0,0) and the y-coordinate is positive, it is not technically in any quadrant because it is located on the line and not in any quadrant.

Step-by-step explanation: