the table shows the change in value of rudos stocks one day. the next day, the value of the all-plus stock dropped 1/4 of the amount it changed from the previous day. what was the total change in all-plus stock? round to the nearest cent

With 99% confidence that the true difference lies between 0.1316 and 0.2694.

A 99% confidence interval for the difference in average SAT scores between coached and uncoached students can be constructed using the data above.

The confidence interval is calculated as (mean of coached students - mean of uncoached students) +/- (2 * standard error of the difference in means).

The mean of coached students is (0.3098 + 0.3399 + 0.219 + 0.0798) / 4 = 0.2155, and the mean of uncoached students is (0.0046 + 0.0248) / 2 = 0.0147. The standard error of the difference in means can be calculated as the square root of ((0.2155(1-0.2155)/4) + (0.0147(1-0.0147)/2)).

The confidence interval is then (0.2155 - 0.0147) +/- (2 * 0.0347) = 0.201 +/- 0.0694, or (0.1316, 0.2694). This indicates that, on average, coached students gain 0.201 points more than uncoached students, with 99% confidence that the true difference lies between 0.1316 and 0.2694.

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Answer:

i think the answer is 60

Step-by-step explanation:i did the math

Ray has the incorrect reasoning because he incorrectly select the sine  function when he should have utilized the tangent.

A right angle triangle is a triangle that has one of its angles as 90 degrees.

The height of the ray can be found using trigonometric ratios.

Therefore,

tan 30 = opposite / adjacent

where

opposite side = height

adjacent side = 35 inches

Therefore,

tan 30° =  height / 35

cross multiply

height = 35 tan 30°

height = 20.2072594216

height = 20.21 inches

Therefore, Ray has the incorrect reasoning because he incorrectly select the sine  function when he should have utilized the tangent.

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Answer:

1. Ray

2. Sine

3. Tangent

Step-by-step explanation:

Plato/Edmentum

Answer:

The number of 5-inch cuts if duct tape remainding is 14.

Step-by-step explanation:

1. 96 - 22.5 = 73.5

2.  73.5/5 = 14.7

3. .7 isnt a full piece of tape, so he has 14 5inch tapes

We need a sample size of at least 397 in order to be 95% confident that the sample mean is within 20 minutes of the true mean.

To calculate the sample size needed, we need to use the formula:

n = (zα/2σ/E)2

where zα/2 is the critical value associated with the desired confidence level (in this case 95%), σ is the standard deviation (3.2 hours in this case), and E is the margin of error (20 minutes in this case).

Thus, n = (1.96*3.2/20)2, which simplifies to 397.

E = 20

σ = 3.2

n = (1.96*3.2/20)2

Therefore, we need a sample size of at least 397 in order to be 95% confident that the sample mean is within 20 minutes of the true mean.

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Relative interest refers to the comparison of interest rates between different financial instruments or investment opportunities. It allows individuals or investors to assess and evaluate the attractiveness of various options based on their potential returns.

1. Understand the basic concept: Interest is the cost of borrowing money or the return earned on invested funds. Relative interest involves comparing the interest rates of different financial instruments or investments to determine which one offers a more favorable return.

2. Identify the investment options: Start by identifying the different investment opportunities or financial instruments available. These can include savings accounts, certificates of deposit (CDs), bonds, stocks, or other investment vehicles.

3. Research interest rates: Research and gather information about the current interest rates offered by each investment option. This information can usually be found on financial websites, through financial institutions, or by consulting with a financial advisor.

4. Compare interest rates: Once you have the interest rates for each investment option, compare them side by side. Look for the differences in rates and identify which options offer higher or lower returns.

5. Assess risk and return: Consider the level of risk associated with each investment option. Higher returns often come with higher risk, so it's essential to evaluate the risk-reward tradeoff.

6. Make an informed decision: Based on the comparison of interest rates and the risk-reward assessment, make an informed decision on which investment option aligns with your financial goals and risk tolerance.

Always remember to consider your financial goals, risk tolerance, and consult with a financial advisor if needed.

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The relationship between logarithms and exponential functions is fundamental and provides a powerful tool for finding solutions in various mathematical and scientific contexts.

Logarithms are the inverse functions of exponential functions. They allow us to solve equations and manipulate exponential expressions in a more manageable way. By taking the logarithm of both sides of an exponential equation, we can convert it into a linear equation, which is often easier to solve.

One of the key properties of logarithms is the ability to condense multiplication and division operations into addition and subtraction operations. For example, the logarithm of a product is equal to the sum of the logarithms, and the logarithm of a quotient is equal to the difference of the logarithms.

Logarithms also help us solve equations involving exponential growth or decay. By taking the logarithm of both sides of an exponential growth or decay equation, we can isolate the exponent and solve for the unknown variable.

This is particularly useful in fields such as finance, population modeling, and radioactive decay, where exponential functions are commonly used.

Furthermore, logarithms provide a way to express very large or very small numbers in a more manageable form. The logarithmic scale allows us to compress a wide range of values into a smaller range, making it easier to analyze and compare data.

In summary, the relationship between logarithms and exponential functions enables us to simplify and solve equations involving exponential expressions, model exponential growth or decay, and manipulate large or small numbers more effectively.

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Answer:

Step-by-step explanation:

x+9

Let x, be 4

4+9=13

given condition,

x+9<4x

4+9<4(4)

13<16

The answer is:

Work/explanation:

Our inequality is:

\(\sf{x+9 < 4x}\)

Flip it

\(\sf{4x > x+9}\)

Solve

\(\sf{4x-x > 9}\)

Combine like terms

\(\sf{3x > 9}\)

Divide each side by 3

\(\sf{x > 3}\)

\(\huge\underline\fcolorbox{blue}{pink}{ąɲȿώƹř=39}\)

Step-by-step explanation:

\( \large \underline\color{pink}{lets \: solve \: ↬} \)

\( \\ \\ \large \color{blue}{ \boxed{↪given \ angle \: 6 = 141}} \\ \\ \large \color{blue}{suppose \: angle \: 5 = x} \\ \\ \large \green {↪ \angle\: 5 \: nd \angle 6 \:are \: on \: straight \: line} \\ \\ \large \green{we \: know \: that \: the \: sum \: of \: straight \: angle \: is \: of \: 180} \\ \\ \large \green{ ↪\angle5 + \angle6 = 180} \\ \\ \large \green{↪ \angle{x} + \angle 141 = 180} \\ \\ \large \green{↪ \angle{x} = 180 - 141} \\ \\ \large \green{ ↪\angle{x} = 39} \\ \\ \\ \Large \color{pink}{ soo \: \angle5 = 39}\)

\(\large\purple{\boxed{\mathfrak{❥\:Velvet\:Pearl}}}\)

The measure of angle 5 in the diagram is 39 degrees

From the figure, both angles are linear pair angles.

So, we have:

Angle 5 + Angle 6 = 180 --- Linear pair angles add up to 180

This gives

Angle 5 + 141 = 180

Subtract 141 from both sides

Angle 5 = 39

Hence, the measure of angle 5 in the diagram is 39 degrees

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Answer:  Answer:The solution to the given system of equations is (2.8,0.1)

Step-by-step explanation: I got it correct on the Unit Test

Answer:

2520

Step-by-step explanation:

There are 7 letters in MCHNLRN and they can be arranged into 7 ways:

7! = 5040 ways in total

However, the letter 'N' is repeated so we have to divide it by 2.

5040 ÷ 2 = 2520 ways

Answer:

2,520 ways

Step-by-step explanation:

MCHNLRN has 7 letters with one repetition.

therefore, =7!/2!

=2,520 ways

Answer: Yellow Greed

Step-by-step explanation: Maths

Answer:

Probably 5 feet

Step-by-step explanation:

Since the diving board is 5 feet then it is 10 feet the it equals 5 feet if you half it

Sorry if wrong and hope this helps

The complete table for the time it takes to empty the barrel for the given rates is attached below. The value of constant k is 60.

To solve the problem, we can use the formula for inverse variation

time = k/leaking rate

where k is a constant of proportionality. We can find k by using the information given in the problem

30 = k/2

Solving for k, we get:

k = 60

Now we can use this value of k to fill in the table

Leaking rate (gallons per minute)                Time to empty (minutes)

      2                                                                           30

      1                                                                            60

      0.5                                                                        120

      0.25                                                                     240

      0.1                                                                        600

As the leaking rate decreases, the time to empty the barrel increases, because the liquid is leaking out more slowly.

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Answer:

$677.25

Step-by-step explanation:

Money deposited: $375.45 + 614.20 + $187.60 = $1177.25

Money withdrawn: $500.00

Total deposit: $1177.25 - $500.00 = $677.25

Answer: $677.25

Answer:

Step-by-step explanation:

Work is said to be done when a force applied to an object cause the body to move in a specified direction.

Work-done = Force * Distance

Since Force = mass * acceleration due to gravity

Work-done =  mass * acceleration due to gravity * distance

Given mass = 1.4kg, distance = 0.7m and g = 9.8m/s²

Workdone in lifting the book off the floor = 1.4*0.7*9.8

Workdone = 9.604Joules

- Similarly, work done in lifting a 21-lb weight book 6 ft off the ground is expressed using the same formula as above;

Given mass = 21-lb, g = 32ft/s² and distance = 6ft

Workdone = 21 * 32 * 6

Workdone = 4,032 lb-ft²/s²

Hence, work-done in lifting a 21-lb weight book 6 ft off the ground is  4,032 lb-ft²/s²

Answer:

\(a =22\)

\(b = 11\)

Step-by-step explanation:

Given

See attachment for triangle

Required

Find a and b

Using cosine formula, we have:

\(\cos \theta = \frac{Adjacent}{Hypotenuse}\)

So, we have:

\(\cos (30) = \frac{11\sqrt 3}{a}\)

Make a the subject

\(a = \frac{11\sqrt 3}{\cos (30)}\)

\(\cos(30) = \frac{\sqrt 3}{2}\)

So, we have:

\(a = \frac{11\sqrt 3}{\frac{\sqrt 3}{2}}\)

Rewrite as:

\(a = 11\sqrt 3 \div \frac{\sqrt 3}{2}\)

This gives:

\(a = 11\sqrt 3 * \frac{2}{\sqrt 3}\)

\(a = 11 * 2\)

\(a =22\)

To solve for b, we use Pythagoras theorem

\(a^2 = b^2 + (11\sqrt 3)^2\)

\(22^2 = b^2 + (11\sqrt 3)^2\)

\(484 = b^2 + 363\)

Collect like terms

\(b^2 = 484 - 363\)

\(b^2 = 121\)

Take positive square roots

\(b = \sqrt {121\)

\(b = 11\)

The polar form of the complex numbers are z₁ = 6 · \(e^{i\,\frac{11\pi}{6} }\) and z₂ = √2 · \(e^{i\,\frac{3\pi}{4} }\). The multiplication of the numbers is z₁ · z₂ = 6√2 · \(e^{i\,\frac{31\pi}{12} }\), the division of the numbers is z₁ / z₂ = 3√2 · \(e^{i\,\frac{13\pi}{12} }\) and the reciprocal of a number is 1 / z₁ = (1 / 6) · \(e^{-i\,\frac{11\pi}{6} }\).

In this problem we find two complex numbers in rectangular form (z = a + i b), whose polar form has to be found. The complex form is described below:

z = r · \(e^{i\,\theta}\)

Where:

The magnitude is determined by Pythagorean theorem:

r = √(a² + b²)

And the direction by inverse trigonometric functions:

θ = tan⁻¹ (b / a)

Polar form offers a quicker manner to perform multiplication and division of complex numbers. Thus:

Multiplication

z₁ · z₂ = r₁ · r₂ · \(e^{i\,(\theta_1 + \theta_2)}\)

Division

z₁ / z₂ = (r₁ / r₂) · \(e^{i\,\frac{\theta_{1}}{\theta_{2}} }\)

First, determine the magnitudes of each complex number:

r₁ = √[(3√3)² + (- 3)²]

r₁ = 6

r₂ = √[(- 1)² + 1²]

r₂ = √2

Second, determine the directions of each complex number:

θ₁ = 11π / 6

θ₂ = 3π / 4

Third, write the complex numbers in polar form:

z₁ = 6 · \(e^{i\,\frac{11\pi}{6} }\)

z₂ = √2 · \(e^{i\,\frac{3\pi}{4} }\)

Fourth, find the multiplication of the complex numbers:

z₁ · z₂ = 6√2 · \(e^{i\,\frac{31\pi}{12} }\)

Fifth, find the division of the complex numbers:

z₁ / z₂ = 3√2 · \(e^{i\,\frac{13\pi}{12} }\)

Sixth, find the reciprocal of the complex number:

1 / z₁ = (1 / 6) · \(e^{-i\,\frac{11\pi}{6} }\)

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Answer:

0.0

Step-by-step explanation:

To find 0.007 divided by 0.498, we can perform the following calculation:

0.007 / 0.498 ≈ 0.0141

Rounding this to the nearest tenth gives:

0.0141 ≈ 0.0

Therefore, the result, rounded to the nearest tenth, is 0.0.

The number of red balls to the number of green balls is 3 : 2

The distribution of the balls is given as:

6 red, 4 green, 2 yellow and 3 blue balls

The number of red balls to the number of green balls is represented as:

Ratio = Red : Green

So, we have:

Ratio = 6 : 4

Simplify

Ratio = 3 : 2

Hence, the number of red balls to the number of green balls is 3 : 2

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The domain of \(y=4\log_5(x-3)\) is (d) all real numbers greater than 3.

The function is given as:

\(y=4\log_5(x-3)\)

Set the expression in bracket greater than 0

x -3 > 0

Add 3 to both sides

x > 3

Hence, the domain of \(y=4\log_5(x-3)\) is (d) all real numbers greater than 3.

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Answer:

400 !

Step-by-step explanation:

Answer:

400

Step-by-step explanation:

25

x16

____

150

+250

____

400

have a good day! c:

Step-by-step explanation:

No. of square inches of knit per hour is 14 and No. of hours spent in knitting 1 square inch is \frac{1}{14}141

Step-by-step explanation:

We are given that Lena can knit 14 square inches of a blanket in hours

So, No. of square inches of knit per hour = 14

No. of hours spent in  knitting 14 square inch = 1

No. of hours spent in knitting 1 square inch = \frac{1}{14}141

So,  No. of square inches of knit per hour is 14 and No. of hours spent in knitting 1 square inch is \frac{1}{14}141

Answer:

(a) \(P(Two\ Positive) = 0.2775\)

(b) It is not too low

Step-by-step explanation:

Given

\(P(Single\ Positive) = 0.15\)

\(n = 2\)

Solving (a):

\(P(Two\ Positive)\)

First, calculate the probability of single negative

\(P(Single\ Negative) =1 - P(Single\ Positive)\) --- complement rule

\(P(Single\ Negative) =1 - 0.15\)

\(P(Single\ Negative) =0.85\)

The probability that two combined tests are negative is:

\(P(Two\ Negative) = P(Single\ Negative) *P(Single\ Negative)\)

\(P(Two\ Negative) = 0.85 * 0.85\)

\(P(Two\ Negative) = 0.7225\)

Using the complement rule, we have:

\(P(Two\ Positive) = 1 - P(Two\ Negative)\)

So, we have:

\(P(Two\ Positive) = 1 - 0.7225\)

\(P(Two\ Positive) = 0.2775\)

Solving (b): Is (a) low enough?

Generally, when a probability is less than or  equal to 0.05; such probabilities are extremely not likely to occur

By comparison:

\(0.2775 > 0.05\)

Hence, it is not too low

The correct answer is C), because it is possible to create an economic model describing the relationship between fertilizer usage and yield.

The economic model would take into account the nonlinear relationship, which is shown in the graph. Specifically, the slope of the curve between one and two tons of fertilizer is approximately 2 (change in yield divided by change in fertilizer usage). This means that for every ton of fertilizer used, the yield increases by two (change in yield / change in fertilizer usage = 2). Although using more than three tons of fertilizer has minimal effect on yield, the economic model would still take this into account and provide a more accurate representation of the relationship between the two variables.

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Yes, 5:10 and 15:30 are equivalent ratios because they simplify to the same ratio of 1:2.

Ratios represent the relationship between two or more quantities or values. When two ratios have the same simplified form, they are considered equivalent because they represent the same relationship between the quantities being compared.

In the given example, the ratios 5:10 and 15:30 can be simplified to the same ratio of 1:2. This means that both ratios represent the same relationship between the quantities being compared. Specifically, both ratios represent a comparison between two quantities where the second quantity is twice as large as the first quantity.

To simplify a ratio, we divide both the numerator and denominator by their greatest common factor (GCF). The GCF is the largest number that divides evenly into both the numerator and denominator. In this case, the GCF of 5 and 10 is 5, and the GCF of 15 and 30 is 15. Dividing both ratios by their respective GCFs results in a simplified ratio of 1:2 for both ratios.

Therefore, 5:10 and 15:30 are equivalent ratios because they represent the same relationship between quantities, and have the same simplified form.

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The truck driver would deliver 105 packages in a 7 hours day

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:

y - 15 = [(60-15)/(4-1)](x - 1)

y = 15x

For a 7 hour day (x = 7):

y = 15(7) = 105

The driver would deliver 105 packages in 7 hours

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Answer:

r  =   -3

Step-by-step explanation:

The zero of a function is any replacement for the variable that will produce an answer of zero. Graphically, the real zero of a function is where the graph of the function crosses the x‐axis; that is, the real zero of a function is the x‐intercept(s) of the graph of the function.

Answer:

33

Step-by-step explanation:

2x-7 = 73

2x = 73-7

2x = 66

x = 66÷2

x = 33

Therefore, the value of x is 33