question what is an expression equivalent to 6(24) using the distributive property? drag and drop the appropriate number into each box.

Absolute change is the numerical difference between two values and relative change is the proportional difference between two values expressed as a percentage.

Absolute change is the numerical difference between two values and is typically expressed as a positive number. It tells us the amount by which a value has increased or decreased.

For example, if the temperature increases from 20 degrees Celsius to 25 degrees Celsius, the absolute change in temperature is 5 degrees Celsius.

Relative change, on the other hand, is the proportional difference between two values and is typically expressed as a percentage. It tells us the amount by which a value has increased or decreased relative to its original value.

For example, if the price of a product increases from $10 to $15, the relative change in price is 50%, because the increase of $5 is 50% of the original price of $10.

In summary, absolute change is the numerical difference between two values and relative change is the proportional difference between two values expressed as a percentage.

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Answer:

the answer -69

Step-by-step explanation:

3 times 3 is 9

9 - 78 is - 69

Answer:

The answer should be -69

Step-by-step explanation:

With this equation you would use PEMDAS, so you would multiply before you subtract. 3 x 3 = 9 9 - 78 would be -69

Answer:

creates a rhombus

Step-by-step explanation:

i just used desmos, i have no idea how to explain it :/

Answer:

C is your answer, the extended version.

Step-by-step explanation:

Siri.

Answer: Greatest common factor is x.

Step-by-step explanation:

(\(x^2\)) (4x)

Both terms share x.  x is the Greatest Common factor, and the only factor in this manner.

If you were to simplify and take out the x, you would have:

x  (x)*(4)

Answer:

Green = 18.84

Blue =24

Orange = 20

Total outer perimeter = 18.84 + 24 + 20 = 62.84

Answer:

18.84 m, 24m, 20m

Step-by-step explanation:

Green:

We need the radius of this circle, is can be calculated by 12 ÷ 2 = 6

2π6 / 2 = 37.68 / 2 = 18.84 m

Blue:

12 + 12 = 24 m

Orange:

10 + 10 = 20 m

Answer:

35

Step-by-step explanation:

Hope this helps :)

a) a 99% confidence interval calculated from the same sample data would be longer than the 95% confidence interval, b) the statement that there is a 95% chance that µ is between 0.49 and 0.82 is incorrect

c) to compute a 90% confidence interval with a width of 2.3 and given a population standard deviation of 5.6, a sample size of approximately 71 is needed.

a) A 99% confidence interval provides a higher level of confidence compared to a 95% confidence interval. As the level of confidence increases, the width of the confidence interval also increases. This is because a higher confidence level requires a wider interval to capture a larger proportion of possible population values. Therefore, the 99% confidence interval calculated from the same sample data would be longer than the 95% confidence interval.

b) The statement that there is a 95% chance that µ (the population mean) is between 0.49 and 0.82 is incorrect. Confidence intervals are not a measure of the probability of a parameter falling within the interval. Instead, they provide a range of values within which the true parameter is likely to lie. The interpretation of a 95% confidence interval is that if we were to repeat the sampling process many times and construct 95% confidence intervals, approximately 95% of those intervals would contain the true population parameter. However, for any specific confidence interval, we cannot make probabilistic statements about the parameter's presence within that interval.

c) To compute a confidence interval with a specific width, we can use the formula:

Sample Size (n) = (Z * σ / E)^2,

where Z is the z-score corresponding to the desired confidence level, σ is the population standard deviation, and E is the desired margin of error (half the width of the confidence interval). In this case, the desired confidence level is 90%, the desired width is 2.3, and the population standard deviation is 5.6. Plugging these values into the formula, we can solve for the sample size (n).

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The mean for boxplot #3 should be less than its median. In a negatively skewed distribution, the mean is less than the median.

This is because the few small values in the data pull the mean down, while the median is still at the middle value. A boxplot can give us an idea of the shape of the distribution, and if it is negatively skewed, it suggests that the mean will be less than the median.

It's important to note that without actually seeing the boxplot, this conclusion may not be accurate. There could be other factors that affect the mean and median, such as outliers or the size of the sample. However, based on the information given that the boxplot is negatively skewed, it is likely that the mean will be less than the median.

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Answer:

I think you mean 2, so here is the answer for that.

Step-by-step explanation:

4/10 can also be written as 2/5 or 8/20.

therefore Karim lives 2/5, 8/20, or 4/10 fraction of a mile away from the mall

Hope this helps!

Answer:

I think you mean 2, so here is the answer for that.

Step-by-step explanation:

4/10 can also be written as 2/5 or 8/20.

therefore Karim lives 2/5, 8/20, or 4/10 fraction of a mile away from the mall

Hope this helps!

Answer:

$30

Step-by-step explanation:

2000 x .015 = 30

The interest earned in the savings account after 12 months on a balance of $2000 if the interest rate is 1.5% APY compounded yearly is $30

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

\(CI = P\left(1 +\dfrac{R}{100}\right)^T - P\)

The final amount becomes:

\(A = CI + P\\A = P\left(1 +\dfrac{R}{100}\right)^T\)

For this case, we're specified that:

Thus, we get the amount of interest as:

\(CI = 2000\left(1 +\dfrac{1.5}{100}\right)^1 - 2000\\\\CI = 2000\times \dfrac{1.5}{100} = 30 \: \rm (in \: dollars)\)

Thus, the interest earned in the savings account after 12 months on a balance of $2000 if the interest rate is 1.5% APY compounded yearly is $30

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Answer:

100

Step-by-step explanation:

Given Average After writing a last test=90

let the last test score be x

Now given

\( \frac{80 + 85 + 100 + 85 + x}{5} = 90\)

\(80 + 85 + 100 + 85 + x = 450\)

\(x + 350 = 450\)

\(x = 100\)

I hope it helped you

Answer: Super Lightweight to Middleweight

Step-by-step explanation: I'm assuming you're talking about boxing weight class. If not, please let me know.

Answer:

RT is more appropriate, though even SU could be called a secant.

Step-by-step explanation:

The slope of the equation is -2/3, and the y-intercept is 490.

To change the equation 2x + 3y = 1,470 to slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept, we need to solve for y.

Starting with the given equation:

2x + 3y = 1,470

First, let's isolate y by subtracting 2x from both sides of the equation:

3y = -2x + 1,470

Next, divide both sides of the equation by 3 to solve for y:

y = (-2/3)x + 490

Now we have the equation in slope-intercept form, y = (-2/3)x + 490.

From this form, we can identify the slope and y-intercept:

The slope (m) is the coefficient of x, which is -2/3.

The y-intercept (b) is the constant term, which is 490.

Therefore, the slope of the equation is -2/3, and the y-intercept is 490.

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Answer:

x=3 y=3/2

Step-by-step explanation:

The equation of the plane that best fits the given data points is z =200/29 - 133/87x + 196/87y

To find the plane that best fits the given data points, we can use the method of least squares regression. We want to find a plane in the form z = a + bx + cy that minimizes the sum of the squared distances between the actual data points and the predicted values on the plane.

Let's denote the given data points as (x1, y1, z1), (x2, y2, z2), ..., (xn, yn, zn).

The equations for the given data points can be written as follows:

Equation 1: 1a + 0b - 3c = 0

Equation 2: 1a + 4b + 0c = 0

Equation 3: 1a + 3b - 1c = 1

Equation 4: 1a + 1b - 2c = 1

Equation 5: 1a - 1b - 5c = -3

We can express the system of equations in matrix form as AX = B, where:

A = [[1, 0, -3], [1, 4, 0], [1, 3, -1], [1, 1, -2], [1, -1, -5]]

X = [a, b, c]

B = [0, 0, 1, 1, -3]

To solve for X, we can use the least squares method:

X = \((A^T*A)^{-1}*A^T*B\)

Let's perform the calculations:

Step 1: Calculate \(A^T\) (transpose of A)

\(A^T\) = [[1, 1, 1, 1, 1], [0, 4, 3, 1, -1], [-3, 0, -1, -2, -5]]

Step 2: Calculate \(A^T*A\)

\(A^T*A\) = [[5, 7, -11], [7, 27, 0], [-11, 0, 39]]

Step 3: Calculate \((A^T*A)^{-1\) (inverse of A^T * A)

\((A^T*A)^{-1\) = [[351/29, -91/29, 99/29], [-91/29, 74/87, -77/87], [99/29, -77/87, 86/87]]

Step 4: Calculate \(A^T*B\)

\(A^T*B\) = [[-1], [7], [12]]

Step 5: Calculate X

X = \((A^T*A)^{-1}*A^T*B\)

 = [[351/29, -91/29, 99/29], [-91/29, 74/87, -77/87], [99/29, -77/87, 86/87]] * [[-1], [7], [12]]

 = [[200/29], [-133/87], [196/87]]

Therefore, the values of a, b, and c that define the plane are approximately:

a = 200/29

b = - 133/87

c= 196/87

The equation of the plane that best fits the given data points is:

z =200/29 - 133/87x + 196/87y

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Answer:

2log(16000)

Step-by-step explanation:

The height of the school is 9 meters.

What is proportion?

A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls. 0.25 are boys (by dividing 1 by 4).

Angle of incidence = Angle of reflection

As we can see in the picture attached, both the angles (θ) are equal.

m∠ACB = m∠ECD = 90° - θ

m∠ABC = m∠ADC = 90°

Therefore, both the triangles ΔABC and ΔEDC will be similar.

And by the property of similar triangles, their corresponding sides will be proportional.

 AB/ED = CB/CD

1.35/ED = 2.15/13.95

     ED = 8.75 meters

     ED ≈ 9 m.

Hence, the height of the school is 9 meters.

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Check the picture below.

\(\textit{Law of Cosines}\\\\ c^2 = a^2+b^2-(2ab)\cos(C)\implies c = \sqrt{a^2+b^2-(2ab)\cos(C)} \\\\[-0.35em] ~\dotfill\\\\ c = \sqrt{10^2+7^2~-~2(10)(7)\cos(108^o)} \implies c = \sqrt{ 149 - 140 \cos(108^o) } \\\\\\ c\approx \sqrt{149-(-43.262379)}\implies c\approx \sqrt{192.262379}\implies \boxed{c\approx 14}\)

The best description of the passenger's linear and angular velocity while passing point A is option d) Linear Velocity Constant, Angular Velocity Constant.

When the passenger is at point A, which is the highest point of the ride, the seat exerts a normal force with a magnitude of 0.8F, where F represents the person's weight. This normal force provides the necessary centripetal force to keep the person moving in a circular path. At this point, the passenger's linear velocity remains constant, as there is no change in speed.

Since the passenger releases a small rock without hitting anything, there are no external torques acting on the system. Therefore, according to the law of conservation of angular momentum, the passenger's angular velocity remains constant as well. The angular velocity is determined by the rotational motion of the wheel and does not change as the passenger passes point A.

Therefore, the passenger's linear velocity is constant, and their angular velocity is also constant while passing point A, resulting in the most accurate description being d) Linear Velocity Constant, Angular Velocity Constant.

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Answer:

C

Step-by-step explanation:

EDGE 2021

The quotient and remainder are x³ -5x² + 10x - 17 and 55.

What is Synthetic division?

When the divisor is a linear factor, synthetic division is a technique used to carry out the division operation on polynomials.

Here, (x+2) is a linear factor which indicates that synthetic division can be applied.

So, we will divide the x^4 - 3x^3 - 7x + 1 by x+2.

(refer the attached solution)

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Answer: yes, Nanay did´t buy more pairs of socks, she had bayed more. I hop that this is helpful.

A 99% confidence interval for the proportion of cell phone owners aged 18-24 who have an Android phone is (0.655, 0.745).

To construct a 99% confidence interval for the proportion of cell phone owners aged 18-24 who have an Android phone, we need to use the formula:
CI = p ± z*√(p(1-p)/n)
where:
CI = confidence interval
p = proportion of cell phone owners aged 18-24 who have an Android phone
z = z-score for the desired confidence level (in this case, 2.576)
n = sample size
Assuming a random sample of 500 cell phone owners aged 18-24, let's say that 350 of them have an Android phone. Then the proportion would be:
p = 350/500 = 0.7
Plugging in the values into the formula, we get:
CI = 0.7 ± 2.576*√(0.7(1-0.7)/500)
CI = 0.7 ± 0.045
CI = (0.655, 0.745)

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Given:

Henry can type 3500 words in 70 minutes.

Colin can type 1500 in 30 minutes.

Brian can type 2200 words in 40 minutes.

To find:

The person who types at the fastest rate of words per minute.

Solution:

We know that,

\(\text{Rate of words per minute}=\dfrac{\text{Number of words}}{\text{Number of minutes}}\)

Using this formula, we get

\(\text{Henry's rate of words per minute}=\dfrac{3500}{70}=50\)

\(\text{Colin's rate of words per minute}=\dfrac{1500}{30}=50\)

\(\text{Brian's rate of words per minute}=\dfrac{2200}{40}=55\)

Since 55>50, therefore Brian's types at the fastest rate of words per minute.

To compute the grade point average (GPA), we need to calculate the weighted sum of the quality points earned in each course and divide it by the total number of units taken.

The student earned grades of B, C, B, A, and D, with corresponding units of 3, 3, 4, 5, and 1. Let's calculate the quality points for each course:

B: 3 units * 3 quality points = 9 quality points

C: 3 units * 2 quality points = 6 quality points

B: 4 units * 3 quality points = 12 quality points

A: 5 units * 4 quality points = 20 quality points

D: 1 unit * 1 quality point = 1 quality point

Now, sum up the quality points: 9 + 6 + 12 + 20 + 1 = 48 quality points.

Next, calculate the total number of units: 3 + 3 + 4 + 5 + 1 = 16 units.

Finally, divide the total quality points by the total units to obtain the GPA: \(\frac{48}{16}\) = 3.00.

The student's GPA is 3.00, which meets the requirement for the Dean's list of having a GPA of 3.00 or greater. Therefore, this student made the Dean's list.

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Answer:

Angle B =  75 degrees

AC =  35.7

BC =  9.6

Step-by-step explanation:

Angle A = 15 degrees (given)

Angle C = 90 degrees (given)

c = 37 (given)

Angle B = 90-15 = 75 degrees

AC = AB cos(A) = 37 cos(15) = 35.7

BC = AB sin(A) = 37 sin(15) = 9.6

Answer:

D. 0.2222

Step-by-step explanation:

Each time a 2 is added.

Answer:

0.2222 (D)

Step-by-step explanation:

you divide 0.1 from the number each time to get the following pattern.

so its 0.2222