Which inequality is true?
5/6 < - 1/3
2 1/3 > 2 1/6
2 < - 2 1/2
1 1/4 > 1 1/3

The Annual Percentage Yield (APY) in this situation is approximately 2.454%.

To find the Annual Percentage Yield (APY) in this situation, use the formula:

\(APY = (1 + r/n)^n - 1\)

where:

- r is the annual interest rate (APR) expressed as a decimal,

- n is the number of compounding periods per year.

In this case, the APR is 2.42% or 0.0242 (expressed as a decimal), and the interest is compounded monthly, so there are 12 compounding periods per year (n = 12).

Substituting these values into the formula,

\(APY = (1 + 0.0242/12)^{12} - 1\)

Calculating this expression:

\(APY = (1 + 0.002017)^{12} - 1\)

  \(= (1.002017)^{12} - 1\)

   ≈ 0.02454 or 2.454%

Therefore, the Annual Percentage Yield (APY) in this situation is approximately 2.454%.

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The mean and the standard deviation of the distribution of sample means  its mean is equal to the population mean, its standard deviation is σn (option 2).

The standard deviation of the distribution of sample means, also known as the standard error, depends on the sample size and the population variance. Specifically, the standard deviation of the distribution of sample means is equal to the population standard deviation divided by the square root of the sample size, or σ/√n.

It is important to note that the standard deviation of the distribution of sample means can also be used to calculate confidence intervals for the population mean.

A confidence interval is a range of values that is likely to contain the true population mean with a certain degree of probability. The width of the confidence interval depends on the sample size and the desired level of confidence.

Hence the correct option is (2).

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Complete Question:

Consider the problem of estimating the mean value of a population, and imagine a large number of hypothetical samples each with size n. The population variance is σ2 .

For each sample, we can calculate the mean. So we will have a large number of mean values. We can plot their distribution.

What is the mean and the standard deviation of the distribution of sample means?

Group of answer choices

1 its mean is equal to the population mean, its standard deviation depend son the confidence level.

2 its mean is equal to the population mean, its standard deviation is σn

3 its mean is 0, its standard deviation is 1

Answer

3.7 or approximately 4 gallons

Step-by-step explanation:

7x2=14 total liters.

3.78 liters=1 gallon

14/3.78= 3.7 gallons

Answer: 7704

Step-by-step explanation:

( see image !)

Okay, let's solve this step-by-step:

We are given the recursion relation:

D(k) = p(k-1), k = 1, 2, ...

This means each probability depends on the previous one.

So to calculate p(4), we need to start from the beginning:

p(0) is not given, so we'll assume it's some initial value, call it p0.

Then p(1) = p0  (from the recursion relation)

p(2) = p(1) = p0  (again from the recursion relation)

p(3) = p(2) = p0  

p(4) = p(3) = p0

So in the end, p(4) = p0.

We are given the options for p0:

A) 0.07  B) 0.08  C) 0.09  D) 0.10  E) 0.11

Therefore, the answer is E: p(4) = 0.11

Answer:

Use the distributive property to multiply 3 by x−2.

y=(3x−6)(x+1)(x−4)

Use the distributive property to multiply 3x−6 by x+1 and combine like terms.  y=(3x  2  −3x−6)(x−4)

Use the distributive property to multiply 3x  2 −3x−6 by x−4 and combine like terms. y =3x  3 −15x  2  +6x+24

Step-by-step explanation:

I also up a link there of a graph. Please tell me if you can open it. Hope this helps! :P

Answer:

34.5

Step-by-step explanation:

An easy way to find this out is plug in all the answers into our equation until we get 180. So here's what you do:

A) X=25.5

So put that in the equation replacing x like this :  2(25.5)-9 =42 then multiply by three which = 126, So, A) is not our answer, now do it with the rest until you get 180,

2(34.5)-9=60 60x3=180 so your answer will be the number you plug in aka:34.5

Hope this helps you understand the topic a little better <3

Answer:

c mystify

Step-by-step explanation:

mystify means

utterly bewilder or perplex (someone).

"maladies that have mystified and alarmed researchers for over a decade"

In short, all you need to do is change "diameter" to "radius" in question 2. Other than that, you're perfect.

Step 1 of 2: To estimate the proportion of people who were caught after being on the 10 Most Wanted List, you need to divide the number of people captured (701) by the total number of suspected criminals in the sample (1753).
\(701 ÷ 1753 ≈ 0.400\) (rounded to three decimal places)
So, the estimated proportion is approximately 0.400 or 40.0%.
Step 2 of 2: To construct the 99% confidence interval for the population proportion, we need to use the following formula:
\(CI = p ± Z * √(p * (1 - p) ÷ n)\)
Where CI represents the confidence interval, p is the estimated proportion (0.400), Z is the Z-score for a 99% confidence level (2.576), and n is the sample size (1753).
First, calculate the standard error:
SE = \(√(0.400 * (1 - 0.400) ÷ 1753) ≈ 0.011\)
Next, multiply the Z-score by the standard error:
2.576 * 0.011 ≈ 0.028
Finally, add and subtract this value from the estimated proportion:
\(0.400 - 0.028 = 0.372\) (rounded to three decimal places)
0.400 + 0.028 = 0.428 (rounded to three decimal places)
The 99% confidence interval for the population proportion is approximately (0.372, 0.428).

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Answer: the answer is B—>165.89

Try all numbers 9-13 ( including 9 and 13 ) multiplies by 14.99

When you multiply 11x14.99 it equals 164.89 not 165.89 meaning B is wrong

In a multiple regression problem involving two independent variables, if b1 is computed to be 2.0, it means that B. the estimated mean of y increases by 2 units for each increase of 1 unit of x1, holding x2 constant

Multiple regression is a statistical technique for examining the relationship between a single dependent variable and a number of independent variables. The goal of multiple regression analysis is to use known independent variables to predict the value of a single dependent variable.

Multiple regression predicts the value of one dependent variable by taking into account the values of the available multiple independent variables. For example, suppose a researcher decides to study the performance of students at a school over time.

In this case, the correct option is B.

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The rectangle with the maximum area, formed by its base on the x-axis and two vertices on the parabola y = 49 - x^2, has dimensions of length 14 units and height 0 units.

To find the dimensions of the rectangle that maximize its area, we need to consider the relationship between the rectangle's dimensions and the parabola.

Let's assume the length of the rectangle is 2x, and the height is y. Since the base of the rectangle lies on the x-axis, the y-coordinate of the two vertices on the parabola will be zero.

Substituting the y-coordinate into the equation of the parabola, we have:

0 = 49 - x^2

Rearranging the equation:

x^2 = 49

Taking the square root of both sides:

x = ±√49

Since we are interested in the positive value of x, we have:

x = 7

Now, substituting this value back into the equation of the parabola, we can find the height:

y = 49 - (7^2)

y = 0

Therefore, the dimensions of the rectangle that maximize its area are:

Length = 2x = 2 * 7 = 14 units

Height = y = 0 units

The rectangle is a degenerate rectangle, which means it has a height of zero. In this case, the maximum area is achieved when the rectangle becomes a line segment on the x-axis with a length of 14 units.

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The given question is incomplete, the complete question is,

What are the dimensions of the rectangle that can be constructed with its base on the x-axis and two vertices on the parabola y = 49 - x^2, in order to maximize its area?

Answer:

x = 12

The measure of Angel A and Angle B = 144°

Step-by-step explanation:

Angle ∠ A= 10x+24∘

Angle ∠B=6x+72 ∘

Angle A and Angle B are Alternate interior angles hence, they are equal to each other.

Hence:

10x + 24 = 6x + 72

Collect like terms

10x - 6x = 72 - 24

4x = 48

x = 48/4

x = 12

The measure of ∠ A= 10x+24∘

=( 10(12) + 24)°

=( 120 + 24)°

= 144°

The Measure of Angle ∠B=6x+72 ∘

=( 6(12) + 72)°

= (72 + 72)°

= 144°

Answer:

∠A = 144 degrees

Step-by-step explanation:

Look at attachment:

Hope this helps! :)

The values of x is -6 and -24

The absolute value (or modulus) | x | of a real number x is the non-negative value of x without regard to its sign. For example, the absolute value of 5 is 5, and the absolute value of −5 is also 5.

This means two absolute values gives 5, they are -5 and 5

This means that when dealing with absolute values , two answers will be involved.

12 - x = |3x+36|

when |3x+36| is positive

12 - x = 3x +36

12 -36 = 4x

4x = -24

x = -24/4 = -6

When |3x+36| is negative

-(3x +36) = 12 - x

-3x - 36 = 12 - x

-2x = 12 +36

-2x = 48

x = 48/-2

x = -24

Therefore the value of x will be -6 and -24

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The purpose of the ninth was to assert the principle that the enumerated rights are not exhaustive and final and that the listing of certain rights does not deny the existence of other rights.

The Ninth Amendment was part of the Bill of Rights added to the Constitution on December 15, 1791. It states that all rights not enshrined in the Constitution belong to the people, not to the US government. In other words, the rights of citizens are not limited to those stipulated in the Constitution. Simply put, the Ninth Amendment declares that the enumeration of certain rights in the Constitution should not be construed as withholding or disrespecting others from people. According to Judge Harry A. Blackman, Roe v. Wade (1973),

, "As we believe, this right to privacy is limited by the Fourteenth Amendment concept of restrictions on individual liberty and government action. The Ninth Amendment to the Constitution contains ample scope, including determining whether a woman should terminate a pregnancy."

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Answer:

for 6 weeks 15 + 15 + 15 + 15 + 15 + 15 = 90

for 10 weeks = 150

for 14 weeks = 210

Step-by-step explanation:

i did 15 because they said tripling it every week so 5 x 3 = 15 for 1 week now 15 x 6 = 90 and so on...

hope this helps

Answer:

You are left with $1.44

Step-by-step explanation:

Subtract the amount of money you payed to how much the cost actually was to get your answer.

Answer:

30% increase or decrease

Step-by-step explanation:

Because every mile is 3% and according to the question it is reduced 90 miles

Answer:

subject subject subject

The equation of the tangent plane to f(x, y) = x^2 - 2xy + 3y^2, with slopes 2 in the positive x direction and 2 in the positive y direction, is 2x + 4y - 8 = 0.

To locate the equation of the tangent airplane to the floor described with the aid of the feature f(x, y) = \(x^2 - 2xy + 3y^2\), we need to decide the gradient vector and consider it at a given point.

The gradient vector will grant the ordinary vector to the tangent plane, and by way of the use of the slope information, we can discover the equation of the plane.

Calculate the partial derivatives of the feature with recognize to x and y:

f_x = 2x - 2y

f_y = -2x + 6y

Set up a device of equations the use of the given slope information:

f_x = 2

f_y = 2

Solve the machine of equations to discover the factor where the slopes are satisfied:

2x - 2y = 2 --> x - y = 1 --> x = y + 1

-2x + 6y = 2 --> -x + 3y = 1 --> -x = 1 - 3y --> x = 3y - 1

Setting the two expressions for x equal to every other:

y + 1 = 3y - 1

2 = 2y

y = 1

Substitute y = 1 into both expression for x:

x = 1 + 1

x = 2

Therefore, the factor the place the slopes are comfy is (2, 1).

Evaluate the gradient vector at the factor (2, 1):

grad(f) = (f_x, f_y) = (2x - 2y, -2x + 6y)

= (2(2) - 2(1), -2(2) + 6(1))

= (2, 4)

The ordinary vector to the tangent airplane is the gradient vector (2, 4).

Using the point-normal structure of the equation for a plane, the equation of the tangent airplane is:

2(x - 2) + 4(y - 1) + d = 0

To decide the price of d, alternative the coordinates of the factor (2, 1):

2(2 - 2) + 4(1 - 1) + d = 0

0 + 0 + d = 0

d = 0

The equation of the tangent airplane is:

2(x - 2) + 4(y - 1) = 0

Simplifying the equation, we have:

2x - 4 + 4y - 4 = 0

2x + 4y - 8 = 8

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The probability of observing a sample statistic more extreme than the one actually obtained, assuming the null hypothesis is true so, here The probability of the type I error.

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

The probability of observing a sample statistic more extreme than the one actually obtained, assuming the null hypothesis is true so, here The probability of the type I error.

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Answer:

3

Step-by-step explanation:

add the 4 over, divide by 2 x equals 3

Answer:

x=6

Step-by-step explanation:

2 times what equals 2 grater than 4.

2 greater than 4 is 6

2 x 3 = 6

or

2+4=6

6/2 =3

Answer:

Jill's team lost 11 matches.

Step-by-step explanation:

Jill's team drawn matches = 16

Points earned for the matches drawn = 16

Total points earned = 55

Therefore, points earned by winning the matches = 55 - 16 = 39

Total matches won by Jill's team = \(\frac{\text{Points earned by winning the matches}}{\text{Points earned by winning one match}}\)

                                                       = \(\frac{39}{3}\)

                                                       = 13

Total matches won + matches drawn = 16 + 13 = 29

Matches lost by the team = 40 - 29 = 11

Therefore, Jill's team lost 11 matches.

Answer:

41 cinnamon granola bars were sold.

Answer:

x=4

Step-by-step explanation:

distribute first 3x+18-13=17

combine like terms 3x+5=17

subtract 5 from both sides 3x=12

divide 3 from both sides x=4

The percentage of students majoring in Business that plans to go to Graduate school is 27.78% (option d)

We are given a crosstabulation of 800 college seniors with their undergraduate major and whether or not they plan to go to graduate school. We need to find the percentage of business students who plan to go to graduate school.

From the table, we can see that:

Out of 252 business students, 70 plans to go to graduate school.

Therefore, the percentage of students majoring in Business that plans to go to Graduate school = (Number of business students who plans to go to graduate school / Total number of business students) × 100= (70 / 252) × 100= 0.2778 × 100= 27.78%

Hence, the answer is option d.

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Answer:

factors are x-3 and x+2

Step-by-step explanation:

If the zeros of the functions are x = 3 and x = -2, hence the factors in terms of x are (x-3) and (x+2)

Get the function

(x-3)(x+2)

= x^2+2x-3x-6

= x^2 - x - 6

Hence the required function is x^2 - x - 6 and the factors are x-3 and x+2

Suppose u(x,0) = sin(πx) + ∑ \(5/n^{10}\) sin(2nπx). n=1 If u(x, t) represents the temperature of a rod at a position x and time t, then at time t the midpoint has the temperature U(1/2, t) = 2.718.

The solution to the given heat equation with the given initial and boundary conditions is:

u(x,t) = ∑ (2/nπ) sin(nπx) e^(-n^2π^2t/16), n=1 [infinity]

Using this solution, we can find the temperature at the midpoint x=1/2:

U(1/2, t) = ∑ (2/nπ) sin(nπ/2) e^(-n^2π^2t/16), n=1 [infinity]

Plugging in t=0, we get:

U(1/2, 0) = ∑ (2/nπ) sin(nπ/2), n=1 [infinity]

Using the identity sin(nπ/2) = 1 if n is odd, and 0 if n is even, we can simplify this expression:

U(1/2, 0) = ∑ (2/(2n-1)π), n=1 [infinity]

This is a divergent series, so we cannot find its exact value. However, we can approximate it by truncating the series at a large enough value of N:

U(1/2, 0) ≈ ∑ (2/(2n-1)π), n=1 to N

For example, if we take N=10, we get:

U(1/2, 0) ≈ 3.8197

Therefore, at time t, the midpoint of the rod has the temperature U(1/2, t) ≈ ∑ (2/nπ) sin(nπ/2) e^(-n^2π^2t/16), n=1 to N, which depends on the value of t and the number of terms included in the series approximation.
At time t, the midpoint of the rod has the temperature:

U(1/2, t) = sin(π(1/2)) * e^(-16(π^2)t) + ∑ [5/n^10 * sin(2nπ(1/2)) * e^(-16(2nπ)^2t)]. n=1 to ∞

Here, e represents the base of the natural logarithm (approximately 2.718).

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Answer:

ok

Step-by-step explanation:

Answer:

can i have brainlyist and nitro1997

Step-by-step explanation: