Scores on an english test are normally distributed with a mean of 31.5 and a standard deviation of 7.3. find the score that separates the top 59% from the bottom 41%.

The base of the ladder must be placed 3 ft from the base of the building. The total length of the ladder is 15 ft.

1. The ladder must reach 12 ft up the wall, so we need to calculate the distance from the base of the building to 12 ft.

2. The total length of the ladder is 15 ft.

3. Subtract the length of the ladder (15 ft) fromthe desired height (12 ft) to get the distance from the base of the building.

4. 12 ft - 15 ft = -3 ft

5. Since the distance cannot be negative, the base of the ladder must be placed 3 ft away from the base of the building.

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The potential letter grades are A, A-, B+, B, or B-, assuming a score of 73 or higher on the final exam.

The potential answers are:

A, A-, B+, B, or B-

It is important to note that these are just the potential answers. I could still earn a lower grade on the final exam, in which case my final letter grade would be lower.

However, based on my current performance in the class, I believe that I have a good chance of earning a grade of A, A-, B+, B, or B- on the final exam.

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what are the prices?

Answer:

1) No it repeating

2)No it doesn't terminate nor repeat

3) yes this terminates

4) no its repeating

Step-by-step explanation:

The test statistic is approximately -2.03.

To calculate the test statistic, we can use the one-sample t-test formula:

t = (x - μ) / (s / √n)

Where:

x is the sample mean,

μ is the hypothesized population mean,

s is the sample standard deviation,

n is the sample size.

In this case, we have:

x = 44.3 (sample mean)

μ = 44.6 (hypothesized population mean)

s = 1.01 (sample standard deviation)

n = 46 (sample size)

Plugging in the values, we can calculate the test statistic:

t = (44.3 - 44.6) / (1.01 / √46)

= -0.3 / (1.01 / √46)

= -0.3 / (1.01 / 6.782)

≈ -0.3 / 0.148

Rounding to 2 decimal places, the test statistic is approximately -2.03.

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Complete question =

Testing:

H0:μ=44.6

H1:μ<44.6

Your sample consists of 46 subjects, with a mean of 44.3 and standard deviation of 1.01.

Calculate the test statistic, rounded to 2 decimal places.

The revenue from hedging minus the revenue from not hedging receivables can be calculated by considering the net exposure to the Malaysian ringgit, the forward rate, and the probabilities of different exchange rate outcomes.

To calculate the revenue from hedging minus the revenue from not hedging receivables, we need to compare the outcomes of hedging versus not hedging in terms of the exchange rate.

If Money Corp. hedges its receivables, it will lock in the forward rate of $.23 for the net exposure of MYR1,500,000. Therefore, the revenue from hedging will be:

Revenue from Hedging = Net Exposure * Forward Rate = MYR1,500,000 * $.23

To calculate the revenue from not hedging, we consider the probabilities associated with each exchange rate outcome. The expected revenue from not hedging is calculated by multiplying each possible value by its corresponding probability and summing the results:

Expected Revenue from Not Hedging = (Revenue at $.20 * Probability of $.20) + (Revenue at $.25 * Probability of $.25)

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The Binary Search Tree is as follows:

                                                   E

                                            /            \

                                         S                T

                                        /                    \

                                      I                       W

                                   /                            \

                                A                               M

                              /                                    \

                             C                                     G

                              \

                                D

The set of letters is {I, D, S, A, E, T, C, G, M, W} and len (I, D, S, A, a) = 5

Binary Search Tree:The binary search tree based on the alphabetical ordering of the letters is:

post-order sequence is: C, D, A, G, M, I, W, T, S, E.

To draw the binary search tree for the given post-order sequence, follow the steps below:

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Answer:

6/100 = x/40

Step-by-step explanation:

6% is represented by 6/100, x is the variable in the proportion, and 40 is the whole you are finding the percentage of

James will fully clear the loan after approximately 12 years when the remaining balance reaches zero.

To determine the number of years it will take for James to fully clear the loan, we need to calculate the remaining balance after each payment and divide the initial loan amount by the annual payment until the remaining balance reaches zero.

The loan amount is 9000 euros, and James pays off 770 euros each year. Since the interest is charged at a rate of 3% of the original amount per annum, the interest for each year will be \(0.03 \times 9000 = 270\) euros.

In the first year, James pays off 770 euros, and the interest on the remaining balance of 9000 - 770 = 8230 euros is \(8230 \times 0.03 = 246.9\)euros. Therefore, the remaining balance after the first year is 8230 + 246.9 = 8476.9 euros.

In the second year, James again pays off 770 euros, and the interest on the remaining balance of 8476.9 - 770 = 7706.9 euros is \(7706.9 \times 0.03 = 231.21\) euros. The remaining balance after the second year is 7706.9 + 231.21 = 7938.11 euros.

This process continues until the remaining balance reaches zero. We can set up the equation \((9000 - x) + 0.03 \times (9000 - x) = x\), where x represents the remaining balance.

Simplifying the equation, we get 9000 - x + 270 - 0.03x = x.

Combining like terms, we have 9000 + 270 = 1.04x.

Solving for x, we find x = 9270 / 1.04 = 8913.46 euros.

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Answer:

4.1 1/4

5.2 1/42

6.2 1/42

Step-by-step explanation:

Answer:

The answer is given below

Step-by-step explanation:

Given that the location of the points are W = (3, 1) , X = (7, -1), Y = (7, -3) and Z = (3,-3)

The distance between two points A(x1, y1) and B(x2, y2) is given by the formula:

\(|AB|=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\)

Therefore, the side length of the quadrilaterals are:

\(|WX|=\sqrt{(-1-1)^2+(7-3)^2}=\sqrt{20} =4.47\)

\(|XY|=\sqrt{(-3-(-1))^2+(7-7)^2}=\sqrt{20} =2\\\\|YZ|=\sqrt{(-3-(-3))^2+(3-7)^2}=\sqrt{20} =4\\\\|ZW|=\sqrt{(-3-1)^2+(3-3)^2}=\sqrt{20} =4\)

The Perimeter of the quadrilateral = |WX| + |XY| + |YZ| + |ZX| = 4.47 + 2 + 4 + 4 = 14.47 units

Answer:

4.47,

2

4

14.47

Step-by-step explanation:

The wavelength of the light wave is approximately 729.94 meters.

The speed of light is regarded as a fundamental natural constant. Its relevance extends well beyond its role in characterizing an electromagnetic wave characteristic.

The speed of light is a constant, and it is equal to the product of the frequency of a light wave and its wavelength.

The speed of light is 3 x 108 m/s. If its frequency is 4.11 x 104 Hz

So if the frequency of a light wave is given, we can use this formula to calculate its wavelength:

wavelength = speed of light / frequency

Plugging in the values given in the question, we get:

wavelength = 3 x 10⁸ m/s / 4.11 x 10⁴ Hz

wavelength = 3 x 10⁸/ 4.11 x 10⁴

wavelength = 3 / 4.11 x 10⁸/10⁴

Performing the calculation, we find that the wavelength of the light wave is approximately 729.94 meters.

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The measure of <1 is 147 degree.

Given:

m∠2 = 12x - 15

m∠7 = 3x + 21

Since angles 2 and 7 are alternate Exterior angles, they are congruent.

So, 12x - 15 = 3x + 21

12x - 3x = 21 + 15

9x = 36

x = 4

So, <2 = 12x - 15= 48 - 15 = 33

Now, <1 + <2 = 180 (Linear Pair)

<1 + 33 = 180

<1 = 147 degree

Thus, the measure of <1 is 147 degree.

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Answer:

d. x=4

Step-by-step explanation:

So we have the following equation: \(log_{(3x-7)}25=2\)

Now to understand how we can rewrite this equation, let's go over the definition of a log: \(log_ba=x\implies b^x=a\)

So this value of "log base b of a" Is equal to the value that I have to raise the base b to, to get the result a

So when I have the equation: \(log_{(3x-7)}25=2\)

This is essentially saying, I have to raise (3x-7) the base, to the power of 2, to get the result of 25

So let's rewrite it using the definition of a log

\((3x-7)^2=25\)

Take the square root of both sides

\(3x-7=5\)

add 7 to both sides

\(3x=7+5\)

Now divide both sides by 3

\(x=\frac{7\pm5}{3}\)

Simplifying:

\(x=4\)

Answer:

Tha answer is C.

Step-by-step explanation:

As you can see in there that -3 is a repeating number.

Answer:

3 bottles

Step-by-step explanation:

you equation is 7x-5=16

you add 5 to both sides which gets you 7x=21

then you divide 7 by both sides that gets you x=3

a) The area of triangle is, 13.3 km²

b) The area of rectangle is, 57.4 cm²

c) The area of rectangle is, 57.33 km²

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

a) The area of triangle is,

Area = 1/2 × Base × Height

Here, base = 7 km

Height = 3.8 km

Thus, The area of triangle is,

Area = 1/2 × Base × Height

Area = 1/2 × 7 × 3.8

Area = 13.3 km²

b) Area of rectangle is,

Area = Length × Width

Area = 8.2 × 7

Area = 57.4 cm²

c) Area of rectangle is,

Area = Length × Width

Area = 6.3 × 9.1

Area = 57.33 km²

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Answer:

A reflection over the line y = x followed by a translation up 3 units

Step-by-step explanation:

Since this is a multiple choice question, let's test each answer out.

First scenario:

"A reflection over the y-axis followed by a translation right 3 units and down 4 units"

Resulting segment does not match segment X'Y', this answer is incorrect

Second scenario:

"A reflection over the line y = x followed by a translation up 3 units"

Resulting segment matches segment X'Y', this is the correct answer.

The Riemann sum with right endpoints and n subintervals is 4/n [4/(4+4/n)^6 + 4/(4+8/n)^6 + ... + 4/(8-4/n)^6 + 4/8^6]

To find the Riemann sum with right endpoints, we divide the interval [4,8] into n subintervals of equal width Δx = (8-4)/n = 4/n, and use the right endpoint of each subinterval as the sample point to evaluate the function.

The Riemann sum with n subintervals is:

Δx [f(4+Δx) + f(4+2Δx) + ... + f(8-Δx) + f(8)]

where f(x) = 4/x^6.

Substituting the values, we get:

Δx = 4/n

f(4+Δx) = f(4+4/n) = 4/(4+4/n)^6

f(4+2Δx) = f(4+8/n) = 4/(4+8/n)^6

...

f(8-Δx) = f(8-4/n) = 4/(8-4/n)^6

f(8) = 4/8^6

So, the Riemann sum with right endpoints and n subintervals is:

Δx [f(4+Δx) + f(4+2Δx) + ... + f(8-Δx) + f(8)]

= 4/n [4/(4+4/n)^6 + 4/(4+8/n)^6 + ... + 4/(8-4/n)^6 + 4/8^6]

To find a specific value of the Riemann sum, we need to know the value of n.

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The expanded form of the number 27.430 is 20 + 7 + 0.400 + 0.30.

A billing statement is a recurring statement that details every transaction made on your credit card account during the billing cycle, including purchases, payments, and other debits and credits. Every month or so, your credit card company will send you a billing statement.

Given that the number is 27.430. The expanded form of the number is written as:-

Expanded form:-

27.430 = 20 + 7 + 0.400 + 0.30.

When we add all the values of the expanded form we will get the previous value.

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Answer:

A

Step-by-step explanation:

7*9=63

63/6= 10 remainder 3

Therefore each friend gets 10 boxes of pencils and Steve gets the leftover 3 boxes of pencils

1. (bh)/2 or (4 x 3)/2 = 6

2. (8 x 12)/2 = 48

3. (11.25 x 15.6)/2 = 87.75

4. (9 x 10)/2 = 45

Answer:

c = 8

Step-by-step explanation:

-3c - 6 = -5(c - 2)

-3c - 6 = -5c + 10

2c - 6 = 10

2c = 16

c = 8

The answer is:

Work/explanation:

The objective of this problem is to isolate x. So I focus on the right side:

\(\sf{-3c-6=-5(c-2)}\)

\(\sf{-3c-6=-5c+10}\)

Rearrange. All terms that contain c should be on the left.

\(\sf{-3c+5c-6=10}\)

\(\sf{2c-6=10}\)

All numbers should be on the right.

\(\sf{2c=10+6}\)

Simplify

\(\sf{2c=16}\)

Divide each side by 2.

\(\sf{c=8}\)

Step-by-step explanation:

Looking at the graph, if you plot the point (-1,-4) you'll see that the point is on the area(red one, in the graph I attached) the graph covers, you can also put x=-1 and y=-1 to check if it's true or not

Answer:

5 x 10 to the 6th power is 5,000,000

5 x 10 to the 4th power is 50,000

5,000,000 / 50,000 = 100

it is 100 times larger

Step-by-step explanation:

Consequently, C = 17.2° as by the result of the Rule of Cosines , rounded to the nearest tenth.

A geometric figure known as an angle is created by two lines that share an endpoint and are referred to as the angle's sides and vertex, respectively. The quantity of rotation required to align one side with the other side around the vertex is the angle's unit of measurement. Typically, angles are expressed as degrees or radians, where a complete rotation equals 360 degrees or 2 radians. Angles are frequently used to define the position and orientation of lines and shapes in geometry, trigonometry, and other branches of mathematics.

given

As a result of the Rule of Cosines, we have:

A2 Plus B2 - 2ab cos = c2 (C)

Adding the specified values:

c² = 26² + 29² - 2(26)(29) cos(50°)

c² = 676 + 841 - 1508 cos(50°)

c² = 1517 - 1508 cos(50°)

c ≈ √(1517 - 1508 cos(50°))

c ≈ 17.2° (rounded to the closest tenth)

Consequently, C = 17.2° as by the result of the Rule of Cosines , rounded to the nearest tenth.

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Answer:

C= 23.22

This is the answer this question.