Find the perimeter of the square:

28

Answer: 6 units

Step-by-step explanation:

Just count from E to F and it is 6 blocks away.

Answer:

6 units

Step-by-step explanation:

The horizontal (x) co-ordinate is -4 for E and 2 for F.

Their length is the difference between their positions:

Length = F - E

Length = 2 - (-4)

Length = 6 units

Answer:

Step-by-step explanation:

All the angles in a triangle add up to 180°

So you need to add up all your angles and set them equal to 180°

angleM + angleN + angleO=180

(6x+1) + (3x-10) + (x+19)= 180

We don't actually need all these parentheses; this is all just addition and subtraction.

6x+1+3x-10+x+19 =180

Add all the x terms together. Add all the constants (plain numbers) together.

10x + 10 =180

Subtract 10 from both sides

10x =170

Divide by 10.

x = 17

But you need one more step because if you reread the question, you are being asked for the measure of angle N, which is 3x - 10

3*17 - 10 =

51 - 10 =

41

The measure of angle N is 41°

Answer:

y>2x-4

y int = -4

over 2 right 1 (like staircase)

The line is dotted and shade to the left of graph

Step-by-step explanation:

Based on the given information, we can make a statistical decision using the critical value and the test statistic. In a one-tailed hypothesis test, the critical value represents the boundary for rejecting the null hypothesis.

In this case, the critical value is 2.518. If the test statistic, t subscript state quals plus 2.383, is greater than the critical value, we reject the null hypothesis. Conversely, if the test statistic is less than the critical value, we fail to reject the null hypothesis.

However, you did not provide the null hypothesis, alternative hypothesis, or the significance level, so I cannot provide a definitive statistical decision. Remember to include those details in order to make a decision.

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Question:

one-tailed hypothesis test the critical value is 2.518 2.518. What is your statistical decision if t Subscript STAT tSTAT equals = plus + 2.047 2.047?? What is the statistical? decision? A. Since the t Subscript STAT tSTAT value is less than less than the critical? value, do not reject do not reject Upper H 0 H0. B. Since the t Subscript STAT tSTAT value is greater than greater than the critical? value, do not reject do not reject Upper H 0 H0. C. Since the t Subscript STAT tSTAT value is greater than greater than the critical? value, reject reject Upper H 0 H0. D. Since the t Subscript STAT tSTAT value is less than less than the critical? value, reject reject Upper H 0 H0.

The solution to the problem is as follows:Given that 80% of teenagers aged 12-17 own smartphones. A random sample of 250 teenagers is drawn.

The probability is calculated by using the Central Limit Theorem and the TI-84 calculator, and the answer is rounded to at least four decimal places.PC <0.11)-0 Х $P(X<0.11)To find the probability of less than 75% of the sampled teenagers owned smartphones, convert the percentage to a proportion.75/100 = 0.75

This means that p = 0.75. To find the sample proportion, use the given formula:p = x/nwhere x is the number of teenagers who own smartphones and n is the sample size.Substituting the values into the formula, we get;$$p = \frac{x}{n}$$$$0.8 = \frac{x}{250}$$$$x = 250 × 0.8$$$$x = 200$$Therefore, the sample proportion is 200/250 = 0.8.To find the probability of less than 75% of the sampled teenagers owned smartphones, we use the standard normal distribution formula, which is:Z = (X - μ)/σwhere X is the random variable, μ is the mean, and σ is the standard deviation.

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Answer:

250 berries

Step-by-step explanation:

There are 10 berries to every orange there is. It is given that there are 25 oranges. Simply multiply 10 with 25:

10 x 25 = 250

There are 250 berries.

~

Answer:

There are 250 berries.

Step-by-step explanation:

There are 10 berries per 1 orange.

We have 25 oranges.

To find out how many groups of berries to oranges there will be I will divide 25 by 1.

\(25/1=25\)

\(x*y=z\)

x = Amount of groups

y = Amount of berries per group

z = Amount of berries total.

Substitute values:

\(25*10=250\)

There are 250 berries total!

Answer: = (-2,3)

Step-by-step explanation:

Here, fixed point = origin = (0,0)

Transformation rule for rotation of  \(90^{\circ}\)counterclockwise about the origin:

\((x,y)\to (-y,x)\)

Then, the image of the point (3,2) =  (-2,3)

Hence, the image of the point (3,2) after a rotation of  \(90^{\circ}\)counterclockwise about the origin = (-2,3)

Answer: The answer is -2,3 because 90 degrees of the orgin :) enjoy

Step-by-step explanation:

(a) How can the marginal revenue be​ found: B. Find the derivative of​ R(x).

The marginal revenue is \(R'(x) = \frac{200}{5x\;+\;1}\)

​(b) How can the profit function be​ found: D. Find ​R(x)​ - C(x).

The profit function is ​P(x)= ​40ln(5x + 1) - x/5.

(c) The marginal profit when x=80 can be found by evaluating: F. P'(80)

The marginal profit when x=80 is = 0.

(d) Interpret the results of part​ (c): A. There is almost no additional profit when producing one more item after the 80th item.

In order to determine the marginal revenue, we would take the first derivative of the revenue function, R(x) with respect to x as follows:

R(x) = 40ln(5x + 1)

R'(x) = 40ln(5x + 1)d/dx

\(R'(x) = \frac{40 \times 5}{5x\;+\;1} \\\\R'(x) = \frac{200}{5x\;+\;1}\)

Part b.

In Mathematics, the profit function, P(x) can be calculated by subtracting the cost function, C(x) from revenue function, R(x) as follows:

P(x) = R(x)​ - C(x)

P(x) = 40ln(5x + 1) - x/5

Part c.

The marginal profit when x=80 can be calculated by taking the first derivative of the profit function and then substituting 80 as follows;

\(P'(x) = \frac{200}{5x\;+\;1}-\frac{1}{2} \\\\P'(x) = \frac{200}{5(80)\;+\;1}-\frac{1}{2}\)

P'(80) = 0.

Part d.

Based on the calculation above, we can logically deduce that there is almost no additional profit that can be made from the production of one more item after the 80th item.

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Complete Question:

If total revenue received from the sale of x items is given by R(x)=40ln(5x + 1), while the total cost to produce x items is \(C(x)=\frac{x}{5}\), find the following.

To find the number of ways to pick a set of six balls from the bin in which at least one ball has an odd number, we can use the principle of inclusion-exclusion.

First, we find the total number of ways to pick a set of six balls from the bin, which is 21 choose 6 (written as C(21,6)) = 54264.

Next, we find the number of ways to pick a set of six balls from the bin in which all the balls have even numbers. There are only 10 even-numbered balls in the bin, so the number of ways to pick a set of six even-numbered balls is 10 choose 6 (written as C(10,6)) = 210.

Therefore, the number of ways to pick a set of six balls from the bin in which at least one ball has an odd number is:

C(21,6) - C(10,6) = 54264 - 210 = 54054.

So there are 54054 ways to pick a set of six balls from the bin in which at least one ball has an odd number.e

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Answer: obtuse

Step-by-step explantion: 20+30=50   180-50=130        130 is an obtuse angle.

Answer:

42cm²

Step-by-step explanation:

*internal screaming* okay, let's go:

So, at this point, I don't even know what I'm doing, so I'm not going to guarantee that this is right, I'm sorry, but let's do some random math:

So we know that the length (the top and bottom) of the rectangle is 7 cm, we just have to figure out the width (the sides), and we're gonna do that by:

0.5 x 2 = 1

7 - 1 = 6

So now we just do the basic rectangle area calculation:

7 x 6 = 42

So, I hope that the area of the shaded area is 42cm²

if this is wrong, let me know so I can fix it

hope this helps:/

Answer:

32.

Step-by-step explanation:

Here is the equation I used. (x = hours)

$400 = $12.50x

To find how many hours he needs to work, divide both sides by 12.50 to get x by itself.

400/12.50 = 12.50x/12.50

Which equals:

32 = x

The distance from y to the line through u and the origin is 0.8.

From the question, y = \(\left[\begin{array}{ccc}4\\2\end{array}\right]\) and u = \(\left[\begin{array}{ccc}8\\6\end{array}\right]\).

Orthogonal projection is a type of projection used in linear algebra to determine the projection of a vector onto another vector. It is an important tool in mathematics and engineering, as it can be used to calculate the angle between two vectors, the distance between two points, and the projection of a vector onto a plane.

Orthogonal projection formula:

\(\hat{y}=\frac{y.u}{u.u}u\)

y · u = (4, 2) · (8, 6)

y · u = 32 + 12

y · u = 44

u · u = (8, 6) · (8, 6)

u · u = 64 + 36

u · u = 100

\(\hat{y}=\frac{y\cdot u}{u\cdot u}u\)

\(\hat{y}=\frac{44}{100}\begin{bmatrix} 8\\6 \end{bmatrix}\)

\(\hat{y}=\frac{11}{25}\begin{bmatrix} 8\\6 \end{bmatrix}\)

\(\hat{y}=\begin{bmatrix} 88/25\\66/25 \end{bmatrix}\)

From y, the line is at a distance of:

\(\left \| y-\hat{y} \right \|\)

\(y-\hat{y}=\begin{bmatrix} 4\\2 \end{bmatrix}-\begin{bmatrix} 88/25\\66/25 \end{bmatrix}\)

\(y-\hat{y}=\begin{bmatrix} 100/25\\50/25 \end{bmatrix}-\begin{bmatrix} 88/25\\66/25 \end{bmatrix}\)

\(y-\hat{y}=\begin{bmatrix} 12/25\\-16/25 \end{bmatrix}\)

\(\left \| y-\hat{y} \right \|=\sqrt{\left (\frac{12}{25} \right )^2+\left (\frac{-16}{25} \right )^2}\)

\(\left \| y-\hat{y} \right \|=\sqrt{\frac{144}{625}+\frac{256}{625}}\)

\(\left \| y-\hat{y} \right \|=\sqrt{\frac{400}{625}}\)

\(\left \| y-\hat{y} \right \|=\frac{20}{25}\)

As a result, y is 0.8 units away from the line passing through u and the origin.

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The complete question is:

Let y = \(\left[\begin{array}{ccc}4\\2\end{array}\right]\) and u = \(\left[\begin{array}{ccc}8\\6\end{array}\right]\). Compute the distance from y to the line through u and the origin. The distance from y to the line through u and the origin is ________ (Simplify your answer.)

since the population standard deviations (σ1 and σ2) are not provided, we cannot calculate the exact test statistic Z.

To test the null hypothesis H0: (μ1 - μ2) = 0 versus the alternative hypothesis Ha: (μ1 - μ2) ≠ 0, we can use a two-sample z-test. The test statistic is calculated as:

Z = (x bar1 - x bar2) / sqrt((σ1^2 / n1) + (σ2^2 / n2))

Where:
X bar1 and x bar2 are the sample means of the two groups,
σ1 and σ2 are the population standard deviations of the two groups,
n1 and n2 are the sample sizes of the two groups.

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Prolific will bike 2 miles to get to the mechanic at the 6th gas station if the pattern continues.

Assuming the rate remains constant, we can use the equation d = rt, where d is the distance, r is the rate, and t is the time. In this case, we want to find the equation to determine the distance of the Nth gas station.

Let's analyze the given information:

The first gas station is 1.5 miles away.

From the second gas station onwards, each gas station is located at a distance 0.1 miles greater than the previous one.

Based on this pattern, we can write the equation for the distance of the Nth gas station as follows:

d = 1.5 + 0.1(N - 1)

B. To find the distance Prolific will bike to get to the 6th gas station, we can substitute N = 6 into the equation from part A:

d = 1.5 + 0.1(6 - 1)

= 1.5 + 0.1(5)

= 1.5 + 0.5

= 2 miles

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Functions can be used to model real world situations.

(60,10) is a possible solution because the input and output are feasible.

From the question, we understand that:

\(x = 60\) --- i.e 60 people donated

\(f(x) = 10\) ---- i.e. 10 families received the clothes from the 60 people

This means that 10 families received at least 60 clothes from the 60 people that donated.

The above illustration can happen.

Hence, (60,10) is a possible solution.

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Answer:

The equation that could be used to find \(x\), the number of cantaloupes Courtney had originally is \(x-40=23\) and the original number of cantaloupes are \(63\).

Step-by-step explanation:

Number of cantaloupes sold \(=40\).

Number of cantaloupes left \(=23\).

Let Courtney had \(x\) cantaloupes originally.

After selling \(40\) cantaloupes out of the total number of cantaloupes, Courtney is left with \(23\) cantaloupes.

So, the equation is \(x-40=23\).

\(\Rightarrow x=23+40\)

\(\Rightarrow x=63\)

Hence, the equation that could be used to find \(x\), the number of cantaloupes Courtney had originally is \(x-40=23\) and the original number of cantaloupes are \(63\).

\( \sqrt{ - 75s} \\ \\ \\ s = - 3 \\ \\ \\ \sqrt{ - 75 \times - 3 } \\ \\ \\ \sqrt{225} = 15 \: ans\)

Answer: f(1) = -6

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Answer:

The answer is b

Step-by-step explanation:

Prediction problems where the variables have numeric values are most accurately defined as regressions.

Regression analysis is a set of statistical processes used in statistical modeling to estimate the relationships between a dependent variable and one or more independent variables.

Researchers can use regression to predict or explain variation in one variable based on another variable. Definitions include: The response variable is the variable that researchers are attempting to explain or predict. It is also known as the dependent variable because it is dependent on another variable.

Understanding linear regression is critical because it provides a scientific method for identifying and forecasting future outcomes. The ability to find and evaluate predictions can help many businesses and individuals by providing benefits such as optimized operations and detailed research materials.

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With the Application of normal distribution conclusion can be All students missed at least one day of school per semester

what is normal distribution?

The normal distribution is a type of probability function that describes the distribution of a variable's values. Since most of the observations cluster around the middle peak of the curve, it is symmetric. When values of the distribution are far from the mean, the probability for those values narrow off evenly in both directions.

solution:

mean - ( standard deviation ) = 4 - 1 = 3

All students missed at least one day of school per semester

Therefore,  conclusion can be All students missed at least one day of school per semester

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Answer:

P= 40 ft

Step-by-step explanation:

Perimeter is the sum of all the lengths

So,

Perimeter= 6+4+15+10ft

= 35ft

Nearest ten can be 40ft or 30ft

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The simple interest earned on $500 at 6% for 18 months is given as follows:

$45.

The equation that gives the balance of an account after t years, considering simple interest, is modeled as follows:

A(t) = P(1 + rt).

In which the parameters of the equation are listed and explained as follows:

The interest accrued is given by the difference between the balance and the initial amount, hence it is given as follows:

I(t) = Prt.

The parameter values for this problem are given as follows:

P = 500, r = 0.06, t = 18/12 = 1.5 years.

Hence the interest is given as follows:

I(1.5) = 500 x 0.06 x 1.5

I(1.5) = $45.

The problem is incomplete, hence it was only possible to obtain the interest accrued.

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Yes, the data in this sample indicate that these individuals have average total cholesterol levels that are desirable.

Average:

In math average refers mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.

Given,

Here we have the data of the national health and nutrition examination survey contains data on 2,263 US. adults. one of the variables is total cholesterol. total cholesterol levels less than 200 milligrams per deciliter (mg/dl) are considered desirable for adults. a reading between 200 and 239 mg/dl is considered borderline high and a reading of 240 mg/dl and above is considered high.

And we need to find that does the data in this sample indicate that these individuals have average total cholesterol levels that are desirable.

While we looking into the given question,

Total number pf participants = 2,263

Desirable level of cholesterol = less than 200 milligram

Border line level of cholesterol = Between 200 and 239 mg

Higher level of cholesterol = 240 mg

So, based on the given details, we know that at least 25% of people must have the desirable.

Therefore, the given level is a desirable one.

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