Correct answers only please! I keep loosing points...

Quincy has $6,000 in a savings account that earns 4% interest, compounded annually.

To the nearest cent, how much interest will he earn in 5 years?

Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

The "n" in the formula for calculating degrees of freedom for a correlation coefficient represents the sample size. The correct option is a.

Explanation: In statistics, the correlation coefficient measures the strength and direction of the linear relationship between two variables. When calculating the degrees of freedom for a correlation coefficient, the "n" represents the sample size. Degrees of freedom (df) refers to the number of independent observations in a statistical analysis. It represents the number of values that are free to vary after certain restrictions or conditions have been imposed.

In the context of correlation, the formula for degrees of freedom is given by (n - 2), where "n" is the sample size. The subtraction of 2 is because the calculation of the correlation coefficient involves estimating the parameters of the line that best fits the data, which requires two degrees of freedom. Subtracting 2 ensures that the degrees of freedom accurately reflect the number of independent observations available for analysis.

Therefore, the correct answer is (a) sample size. The larger the sample size, the greater the degrees of freedom, which generally improves the reliability and precision of the correlation coefficient estimate.

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Given a ray passing through a line at an angle of 29 degrees, the angle opposite to it (angle R) can be found by subtracting 29 degrees from 180 degrees. Therefore, the value of angle R is 151 degrees.

We are given that a ray passes through a line, making an angle of 29 degrees with the line. Let us represent this situation as follows

The angle R represents the angle opposite to the angle of 29 degrees. Since the ray and the line form a straight line, their angles add up to 180 degrees. Therefore, we can write

angle R + 29 degrees = 180 degrees

To solve for angle R, we can subtract 29 degrees from both sides of the equation

angle R = 180 degrees - 29 degrees

Simplifying the expression, we get

angle R = 151 degrees

Therefore, the value of angle R is 151 degrees.

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Answer: he will be able to play 32.6 games at the arcade

Step-by-step explanation:

Answer:

32 games

Step-by-step explanation:

1) 55-14.25=40.75

2) 40.75/1.25

3) 32.6

4) The least Raleigh would be able to pay for is 32 games.

Using a unitary method, we have identified that the smaller pot has more water.

To compare the amount of water in the two pots, we need to find a common unit of measurement. In this case, both pots are measured in cups, so we can simply compare the number of cups in each pot. The chef filled the larger pot with 3.7 cups of water, and the smaller pot with 7.3 cups of water.

Now, we can use a unitary method to compare the two quantities. Let's assume that one cup is our unit of measurement. To find out how many cups of water are in the smaller pot, we can divide 7.3 by 1 cup. This gives us 7.3 cups of water. To find out how many cups of water are in the larger pot, we can divide 3.7 by 1 cup. This gives us 3.7 cups of water.

As we can see, the smaller pot has more water than the larger pot.

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After solving, the height of the cylinder is 6 meters.

The surface area of a cylinder is 24π m².

The distance around the base of the cylinder is 3π meter.

The diameter of a base of the cylinder is 4 meter.

Now the radius of the cylinder = diameter/2

The radius of the cylinder = 4/2

The radius of the cylinder = 2 meter.

The formula of surface area of cylinder:

S = 2πrh

From the question:

2πrh = 24π

Now putting the value of r

2π × 2 × h = 24π

4πh = 24π

Divide by 4π on both side, we get

h = 6

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The complete question is:

The surface area of a cylinder is 24π m². The distance around the base of the cylinder is 3π meter and the diameter of a base of the cylinder is 4 meter. What is the height of the cylinder? Enter your answer, in a simplified fraction, in the box.

The scale factor of triangle PQR to triangle STU is 3/2

Scale factors are used to increase or decrease image. The situation of increment is usually called magnifying.

Taking a point of reference say PR and SU

PR = 8

SU = 12

let the scale factor be r such that

8 * r = 12

r = 12 / 8

r  = 3/2

checking with other sides

PR to UT

6 * 2/3 = 9 correct

QP to TS

10 * 3/2 = 15 correct

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Answer:

D

Step-by-step explanation:

none of the others make sense my guy

Answer:

the y-intercept is (0,-1)

Step-by-step explanation:

the y-intercept is the point in which the line passes through the y axis

Answer:

I believe the answer would be 3m+2=18

Don't forget to click the heart

Step-by-step explanation:

The equation 3m + 2 = 18 represents the two added to three times a number m is the same as 18.

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

The equation in word form is:

Two added to three times a number m is the same as 18.

Here m is the number.

Three times the number m = 3m

The addition of the numbers 3m and 2 = 3m + 2

The quantity 3m + 2 is equal to 18

The equation becomes:

3m + 2 = 18

The above equation represents the two added to three times a number m is the same as 18.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Thus, the equation 3m + 2 = 18 represents the two added to three times a number m is the same as 18.

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In this scenario, we have a school with 200 students, and the average systolic blood pressure is believed to be 120. We also have a sample of 20 students, from which we know the standard deviation of the systolic blood pressure is 9.96.

To solve this problem, we can use the central limit theorem, which states that for a large enough sample size, the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution. Given that our sample size is 20, we can assume the sample mean follows a normal distribution.

Using the population mean (120) and the standard deviation of the sample mean (9.96 divided by the square root of 20), we can calculate the z-score for the value 130.05. The z-score measures the number of standard deviations a particular value is away from the mean. Once we have the z-score, we can find the corresponding probability using a standard normal distribution table or a statistical software.

By calculating the z-score and finding the corresponding probability, we can determine the likelihood of observing a mean systolic pressure of 130.05 in our sample.

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Using a linear function, the best prediction of the number of calories in a 180-gram burrito is given by:

y(15) = 15m + b.

In which m is the slope and b is the y-intercept.

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

This problem is incomplete, but the line of best fit will have the format y = mx + b, hence the best prediction of the number of calories in a 180-gram burrito is given by:

y(15) = 15m + b.

In which m is the slope and b is the y-intercept.

Complete question:

A food scientist studies the relationship between mass and calories in different types of burritos. the scatter plot shows the data for 15 types of burritos. based on a line of best fit for the data, which is the best prediction of the number of calories in a 180-gram burrito?

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If it is a line that does go through 0,0 then it is NOT PROPORTIONAL

Answer:

Hope it can help you.....Mark me as a brainlist...

Answer:

y = -2x + 12

Step-by-step explanation:

Slope-intercept form

\(y=mx+b\)

where:

Therefore, to find the slope-intercept form of the given linear equation, isolate y:

\(\implies 4x+2y=24\)

\(\implies 4x+2y-4x=-4x+24\)

\(\implies 2y=-4x+24\)

\(\implies \dfrac{2y}{2}=\dfrac{-4x}{2}+\dfrac{24}{2}\)

\(\implies y=-2x+12\)

Answer:

y = -2x + 12

Step-by-step explanation:

Given equation,

→ 4x + 2y = 24

The slope-intercept form is,

→ y = mx + b

Converting into slope-intercept form,

→ 4x + 2y = 24

→ 2y = -4x + 24

→ y = (-4x + 24)/2

→ [ y = -2x + 12 ]

Hence, the solution is y = -2x + 12.

Minimization of  f(x) = |x+3| + x^3 at the endpoints (-2 and 6)  the minimum value of the function is approximately 3.84, which occurs at x= \sqrt{1/3}

within the given interval.

To minimize the function subject to the constraint f(x) = |x+3| + x^3 that x lies in the interval [-2, 6], we need to find the value of x that minimizes f(x) within that interval.

First, let's analyze the function f(x). The absolute value term |x+3| can be rewritten as:

|x+3| =

x+3 if x+3 >= 0

-(x+3) if x+3 < 0

Since the interval [-2, 6] includes both positive and negative values of x+3, we need to consider both cases.

Case 1: x+3 >= 0

In this case, f(x) = (x+3) + x^3 = 2x + x^3 + 3

Case 2: x+3 < 0

In this case, f(x) = -(x+3) + x^3 = -2x + x^3 - 3

Now, we can find the minimum of f(x) within the given interval by evaluating the function at the endpoints (-2 and 6) and at any critical points within the interval.

Calculating the values of f(x) at x = -2, 6, and the critical points, we can determine the minimum value of f(x) and the corresponding value of x.

Since the equation involves both absolute value and a cubic term, it is not possible to find a closed-form solution or an exact minimum value without numerical methods or approximation techniques.

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Answer:

eish

Step-by-step explanation:

shhsjsbsbebsjushehbsjejdudushebeisius I'm sorry

Answer: 6 cm

Step-by-step explanation:

Given: The ratio of the areas of two similar  parallelograms is 4:9.

To find : The height of the  bigger one if the smaller is of height 4 cm.

Let h be the height of the  bigger one.

Since the areas of similar figures are proportional to the square of their corresponding sides.

Then, \(\dfrac{4^2}{h^2}=\dfrac{4}{9}\)

\(\dfrac{16}{h^2}=\dfrac{4}{9}\\\\\Rightarrow\ h^2=\dfrac{9}{4}\times16\\\\\Rightarrow\ h^2=36\\\\\Rightarow\ h= 6\ cm\ \ \ \ \text{[ height cannot be negative.]}\)

Hence, the height of bigger parallelogram = 6 cm

The equation that represents the number of customers x years after 2000 is:

N(x) = 1000(1 + 0.18)^x



To find the equation that represents the number of customers x years after 2000, we need to use the compound interest formula:

A = P(1 + r)^t

Where:
- A is the final amount
- P is the initial amount
- r is the annual interest rate (expressed as a decimal)
- t is the time period (in years)

In this case, we can use this formula to represent the number of customers that Lawn and Order has x years after 2000. The initial amount of customers is 1000, and the annual interest rate (or increase rate) is 18%. We can express 18% as a decimal by dividing it by 100, which gives us 0.18. The time period is x years after 2000, so we can use x as the value of t.

Therefore, the equation that represents the number of customers x years after 2000 is:

N(x) = 1000(1 + 0.18)^x


the equation that represents the number of customers x years after 2000 for Lawn and Order is N(x) = 1000(1 + 0.18)^x. This equation can be used to calculate the number of customers that Lawn and Order will have in any given year after 2000, assuming that the growth rate remains constant at 18%.

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The difference between the 51st term of a and the 51st term of b is 1000.

the nth term of an arithmetic series is given by \(a_{n}= a_{0}+(n-1)*d\)

where \(a_{0}\) is the first term of the arithmetic series, \(a_{n}\) is the nth term of the series and d is the common difference

Given that,

\(a_{0}=b_{0}=30\)

Common difference of both series that have absolute value = 10

common difference of series a is 10 as this series is increasing

similarly, the common difference of series b is -10 as it is decreasing

Putting the values in the above equation we get:

\(a_{51}= a_{0}+(n-1)*d\\\)

=> 30 + (51-1)*10

=> 30 + 500 = 530

Thus, the value of \(a_{51}\) is 530.

\(b_{51}= b_{0}+(n-1)*d\\\)

=> 30 + (51-1)*-10

=> 30 -500 = -470

Thus, the value of \(b_{51}\) is -470.

so we have to find the value of \(a_{51}-b_{51}\) which is 530 - (-470) =530 +470 =1000

Therefore, The difference between the 51st term of a and the 51st term of b is 1000.

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A graph which represent the inequality -5x + 3y > 9 is shown below.

In order to to graph the solution to the given linear inequality on a coordinate plane, we would use an online graphing calculator to plot the given linear inequality and then take note of the points that lie on its line;

-5x + 3y > 9

3y > 9 + 5x

y > 9/3 + 5x/3

y > 5x/3 + 3

Next, we would use an online graphing calculator to plot the given linear inequality as shown in the graph attached below.

Based on the graph (see attachment), we can logically deduce that a possible solution for the linear equation is the ordered pairs (0, 3) and (-1.8, 0), with a dashed line that is shaded above to indicate the solution, and this must be represented with the greater than or equal to (>) inequality symbol.

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Answer:

x = -1, 7

Step-by-step explanation:

Given question is incomplete; find the complete question in the attachment.

x² - 6x - 7 = 0

Step 1,

Isolate the constant by ADDING 7 both the sides of the equation.

x² - 6x - 7 + 7 = 0 + 7

x² - 6x = 7

Step 2

Add 9 to both sides of x² - 6x = 7 to form a perfect square trinomial while keeping the equation balanced.

x² - 6x + 9 = 7 + 9

Step 3

Write the trinomial x² - 6x + 9 as (x - 3) squared.

x² - 2(3)x + 9 = 16

(x - 3)² = 4²

Step 4

Use the square root property of the equality to get x - 3 = ± 4

(x - 3)² = 4²

\(\sqrt{(x-3)^2}=\sqrt{4^2}\)

(x - 3) = ±4

Step 5

Isolate the variable to get solution of -1 and 7

x - 3 = ± 4

x = -3 ± 4

x = -1, 7

Answer:

1. Isolate the constant by adding 7 to both sides of the equation.

2. Add 9 to both sides of x2 – 6x = 7 to form a perfect square trinomial while keeping the equation balanced.

3. Write the trinomial x2 – 6x + 9 as  x – 3 squared.

4. Use the square root property of equality to get x – 3 = ± 4.

5. Isolate the variable to get solutions of –1 and 7.

Step-by-step explanation:

just completed this on edge

Step-by-step explanation:

it's hope it helpful to you

Answer:

c

Step-by-step explanation:

its a pair

a) Standard deviation of the sample mean = 1.27. b) the sample size must be at least 16 in order to halve the standard deviation of the sample mean.

a) To find the standard deviation of the sample mean, we can use the formula: Standard deviation of the sample mean = Standard deviation of the population / √(sample size)

Given that the variance of the population is 100, the standard deviation of the population is the square root of the variance, which is 10.

Plugging in the values, we have: Standard deviation of the sample mean = 10 / √62

Using a calculator, we can evaluate this expression to be approximately 1.27 (rounded to two decimal places).

Therefore, the standard deviation of the sample mean is approximately 1.27.

(b) To halve the standard deviation of the sample mean, we need to find the sample size that will make the denominator in the formula √(sample size) equal to half of its current value, which is √62.

Let's denote the desired sample size as N. We want: √N = (√62) / 2

Squaring both sides of the equation, we have:

N = (62 / 4)

N = 15.5

Since the sample size must be a whole number, we round up the value to the next integer.Therefore, the sample size must be at least 16 in order to halve the standard deviation of the sample mean.

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The volume of Kayla's prism is 45 cubic inches, which is equivalent to the first two options presented: 45 in³ 45 in³.

Since Kayla stacked her 1-inch cubes to make this rectangular prism, the volume of the prism can be calculated by multiplying its length, width, and height.What is the formula for finding the volume of a rectangular prism?The formula for finding the volume of a rectangular prism is:

V = lwh

where V is the volume, l is the length, w is the width, and h is the height. In this case, we can determine the volume of Kayla's prism by using the formula:V = 5 x 3 x 3 = 45 cubic inches.

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The probability that the sample mean will be within plus minus 2 of the population mean if the sample size is n = 100 between z-scores of 0 and 2.5 using a z-table.

The standard deviation of the sample distribution, commonly known as the standard error, can be computed using the formula given that the population mean is 100 and the standard deviation is 16:

Standard Error = Standard Deviation / sqrt(sample size)

Let's determine the likelihoods for sample sizes of n = 100 and n = 400:

For n = 100:

Standard Error = 16 / sqrt(100) = 16 / 10 = 1.6

We can determine the z-scores for the upper and lower boundaries to establish the likelihood that the sample mean will be within plus or minus 2 of the population mean:

Lower Bound z-score = (Sample Mean - Population Mean) / Standard Error

Lower Bound z-score = (100 - 100) / 1.6

Lower Bound z-score = 0

Upper Bound z-score = (Sample Mean - Population Mean) / Standard Error

Upper Bound z-score = (104 - 100) / 1.6

Upper Bound z-score = 4 / 1.6

Upper Bound z-score = 2.5

We can calculate the region under the normal distribution curve between z-scores of 0 and 2.5 using a z-table or statistical software. This shows the likelihood that the sample mean will be within +/- 2 standard deviations of the population mean.

For n = 400:

Standard Error = 16/√400

Standard Error = 16/20

Standard Error = 0.8

We determine the z-scores by following the same procedure as above:

Lower Bound z-score = (Sample Mean - Population Mean) / Standard Error

Lower Bound z-score = (100 - 100) / 0.8

Lower Bound z-score = 0

Upper Bound z-score = (Sample Mean - Population Mean) / Standard Error

Upper Bound z-score = (104 - 100) / 0.8

Upper Bound z-score = 4 / 0.8

Upper Bound z-score = 5

Once more, we may determine the region under the normal distribution curve between z-scores of 0 and 5 using a z-table or statistical software.

A larger sample size, like n = 400, has the benefit of a lower standard error. The sampling distribution of the sample mean will be more constrained and more closely resemble the population mean if the standard error is less.

As a result, there is a larger likelihood that the sample mean will be within +/- 2 of the population mean. In other words, the estimate of the population mean gets more accurate and dependable as the sample size grows.

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Solution

We have the following expression:

y= height of the pool and x= time in seconds

And we know that the turtle path is given by:

We can do the following:

And we can solve for x on this way:

We can factorize and we got:

And we can do the following to solve the problem:

Then we can conclude that the answer is:

5/2 < x < 5

Between 5/2 and 5 seconds the swimmer dive is below the turtle that represent 5/2 seconds

Answer:b

Step-by-step explanation: