Please help me on this question

Answer:

\(\sf A) \quad \begin{cases}\sf y > -5x+5\\\sf y < -5x+12\end{cases}\)

B)  see below

C)  points C, E and F

Step-by-step explanation:

Given points:

A system of inequalities is a set of two or more inequalities in one or more variables.

To create a system of inequalities that only contains C and F in the overlapping shaded region, create a linear equation where points C, F and E are to the right of the line and a linear equation where points C, F, A, B and D are to the left of the line.

The easiest way to do this is to find the slope of the line that passes through points C and F, then add values to move the lines either side of the points.

\(\sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{y_F-y_C}{x_F-x_C}=\dfrac{-4-1}{3-2}=-5\)

Therefore:

\(\sf y = -5x + 5\)  →  points C, F and E are to the right of the line.

\(\sf y=-5x+12\)  →  points C, F, A, B and D are the left of the line.

Therefore, the system of inequalities that only contains points C and F in the overlapping shaded regions is:

\(\begin{cases}\sf y > -5x+5\\\sf y < -5x+12\end{cases}\)

To graph the system of inequalities:

To verify that the points C and F are solutions to the system of inequalities created in Part A, substitute the x-values of both points into the system of inequalities.  If the y-values satisfy both inequalities, then the points are solutions to the system.

Point C (2, 1)

\(\implies \sf x=2 \implies 1 > -5(2)+5 \implies 1 > -5\quad verified\)

\(\implies \sf x=2 \implies 1 < -5(2)+12\implies 1 < 2 \quad verified\)

Point F (3, -4)

\(\implies \sf x=3 \implies -4 > -5(3)+5 \implies -4 > -10\quad verified\)

\(\implies \sf x=3 \implies -4 < -5(3)+12\implies -4 < -3 \quad verified\)

Method 1

Graph the line y = 7x - 4 (making the line dashed since it is y < 7x - 4).

Shade below the dashed line.

Points that are contained in the shaded region are the houses in which Erica is interested in living:  points C, E and F.

Method 2

Substitute the x-value of each point into the given inequality y < 7x - 4.

Any point where the y-value satisfies the inequality is a house that Erica is interested in living.

\(\sf Point\: A: \quad x=-5 \implies 5 < 7(-5)-4 \implies -5 < -39 \implies no\)

\(\sf Point\: B: \quad x=-4 \implies -2 < 7(-4)-4 \implies -2 < -32 \implies no\)

\(\sf Point\: C: \quad x=2 \implies 1 < 7(2)-4 \implies 1 < 10 \implies yes\)

\(\sf Point\: D: \quad x=-2 \implies 4 < 7(-2)-4 \implies 4 < -18 \implies no\)

\(\sf Point\: E: \quad x=2 \implies 4 < 7(2)-4 \implies 4 < 10 \implies yes\)

\(\sf Point\: F: \quad x=3 \implies -4 < 7(3)-4 \implies -4 < 17 \implies yes\)

Answer:

58.2677

Step-by-step explanation:

148 divide the length value by 2.54

Answer:

1 inch = 2.54 cm

148 / 2.54 = 58.2677165354 inches

Step-by-step explanation:

The interquartile range (IQR) for each data set is:

1. 5;       2. 3;      3. 6;     4. 4

The interquartile range (IQR) of a data set can be described as the difference of the third quartile and the first quartile which can simply be gotten be subtracting Q1 from Q3.

Find the third quartile (Q3) and the first quartile (Q1) of each data set, then find the IQR:

1. Given, 8,12,20,10,6,15,12,9,10, we have:

Q1 = 8.5

Q3 = 13.5

IQR = 13.5 - 8.5 = 5

2. Given 12,5,9,7,10,11,11,12,13,14, we have:

Q1 = 9

Q3 = 12

IQR = 12 - 9 = 3

3. Given 7, 3, 5, 8, 11, 6, 12, we have:

Q1 = 5

Q3 = 11

IQR = 11 - 5 = 6

4. Given 7, 11, 7, 8, 9, 8, 11, we have:

Q1 = 7

Q3 = 11

IQR = 11 - 7 = 4

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No, cherry-picking is not a way to present statistics ethically. Ethical statistical analysis requires a comprehensive and unbiased approach to data presentation.

Cherry-picking refers to selectively choosing data or information that supports a particular viewpoint while disregarding contradictory or less favorable data. This practice distorts the overall picture and can lead to misleading or deceptive conclusions.

Presenting statistics ethically involves using a systematic and transparent approach that includes all relevant data. It requires providing context, disclosing any limitations or biases in the data, and accurately representing the full range of results. Ethical statistical analysis aims to present information objectively and without manipulation or bias.

Cherry-picking undermines the principles of fairness, accuracy, and transparency in statistical analysis. It can mislead decision-makers, misrepresent the true state of affairs, and erode trust in the statistical analysis process. To maintain integrity in statistical reporting, it is essential to approach data with impartiality and adhere to ethical principles that promote fairness, transparency, and truthfulness.

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Answer:

x could be 4

Y could be 5

Step-by-step explanation:

3 x 4 - 5 = 7

The volume of the space around the tennis balls is approximately 476.76 cubic centimeters.

To calculate the volume of the space around the tennis balls, we need to find the volume of the cylindrical can and subtract the volume of the three tennis balls. The volume of the cylindrical can is given by:

where r is the radius of the can and h is the height of the can. Since the tennis balls are touching the side, top, and bottom of the can, the height of the can is equal to three times the radius of a tennis ball, or 9.75 centimeters. Therefore, we have:

V_cyl = π(3.25 cm)²(9.75 cm) ≈ 316.96 cm³

The volume of a single tennis ball is given by:

V_ball = 4/3πr³

where r is the radius of the tennis ball. Therefore, the volume of three tennis balls is:

V_3balls = 3V_ball = 3(4/3π(3.25 cm)³) ≈ 839.72 cm³

The volume of the space around the tennis balls is the difference between the volume of the cylindrical can and the volume of the three tennis balls:

V_space = V_cyl - V_3balls ≈ 316.96 cm³ - 839.72 cm³ ≈ -522.76 cm³

However, a negative volume does not make sense in this context, so we take the absolute value to get:

|V_space| ≈ 522.76 cm³

Therefore, the volume of the space around the tennis balls is approximately 476.76 cubic centimeters.

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13 and 13√2 is the value of x and y in the given diagram

The given diagram is a right triangle, we need to determine the value of x and y.

Using the trigonometry identity

tan45 = opposite/adjacent
tan45 = x/13

x = 13tan45
x = 13(1)
x = 13

For the value of y

sin45 = x/y

sin45 = 13/y
y = 13/sin45

y = 13√2
Hence the exact value of x and y from the figure is 13 and 13√2 respectively.

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In the case of Typical behavior of the sales prices of houses median is the best term. In the case of Ages of 1st graders mean is the best way of central tendency and for Heights of women mode is the best measure.

First of all we have to know the Mean, median and mode. The mean of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set.

In the case of typical behavior of the variable sales price of houses, the Median will be the best measure of central tendency because the median will not get affected by the higher/lower prices of houses.

The age of each kid will be almost the same.  In order to represent the typical behavior of the variable Age of 1st graders, the mean will be the best measure of central tendency.

Incase of Heights of women, the mode will be the best measure of central tendency as it will describe the height that most of the females have. 

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Answer:

x = 17

Step-by-step explanation:

The triangle is a 45-45-90 triangle. Also, you can take all of the angles of a triangle and set it equal to 180 like this:

(x + 17) + (4x - 34) + (6x + 10) = 180

x = 17

\(\tt Step-by-step~explanation:\)

Remember that a midpoint is the middle point of a line segment.

Here, we can see that H is -6 and N is 0. -6 ÷ 2 = -3, so the midpoint should be -3 here, which is K.

We can check if we are correct, since we have the image. If K is right in between points H and N, then K is the midpoint.

\(\large\boxed{\tt Our~final~answer: ~Midpoint: ~K~(Option~C)}\)

Answer:

I just took this test and the answer was K.

Step-by-step explanation:

Answer: h= 9/16 length

Step-by-step explanation:

Answer:

Step-by-step explanation:

Both of the points have same y- coordinate of 50.

It means the slope is zero and the line is parallel to the x- axis.

The line has equation:

Correct choice is D

Slope

Points are parallel

Equation

Answer:

x = 71 and y = 109

Step-by-step explanation:

x = 180 - 109 = 71

y = 109 vertical angles

Answer:

Step-by-step explanation:

Let (a, b) represent the coordinates of point Q on line x -2y -4 = 0. Then we know that ...

  a -2b -4 = 0

  a -2b = 4

__

If P is the midpoint of QR, then ...

  R = 2P -Q = 2(1, 1) -(a, b) = (2 -a, 2 -b)

We know this point satisfies the equation for the other line:

  x + y = 5

  (2 -a) +(2 -b) = 5

  a + b = -1 . . . . . . . . . . . rearrange to standard form

__

To find the solution to these two equations, we can subtract the first from the second:

  (a +b) -(a -2b) = (-1) -(4)

  3b = -5

  b = -5/3

  a = -1 -1b = -1 -(-5/3) = 2/3

The point Q is (a, b) = (2/3, -5/3).

The point R is ...

  R = (2 -a, 2 -b) = (2 -2/3, 2 -(-5/3)) = (4/3, 11/3)

The exact coordinates of Q and R are ...

  Q(2/3, -5/3), R(4/3, 11/3)

_____

Comment on the GeoGebra solution

The points can be found by reflecting either line across point P. Where that reflected line intersects the other line is one of the points of interest. Of course, the other is its reflection in P. You may recognize the equation for line b' (hidden in the diagram) as matching the second equation we derived above.

Answer:

3x = 15

x = 15/3

x  =5

Answer:

$6.90

Step-by-step explanation:

1.20 x (5 3/4) = 6.9

Answer:

z= 20.78

x=16.97

y=12.00

Step-by-step explanation:

To find z , we need cosine function

\(Cos 30= \frac{z}{24} \\z= 24 cos 30 = 20.78\\\\\)

To find x and y , we need to find the height of the left triangle , i.e.

24 sin 30 = 12

then cos 45 = 12 /x

x= 12/ cos 45 = 16.97

sin 45 = y/x = y/ 16.97

y= 16.97 sin 45 = 12

.

hope it help

There can be 90% confident that the population mean salary of college graduates who took a statistics course is between $60,947.78 and $66,652.22.

To construct a 90% confidence interval for estimating the population means μ of salaries for college graduates who took a statistics course, we can use the formula:

Confidence interval = sample mean ± (critical value) x (standard error)

First, we need to find the critical value from the t-distribution table with a degree of freedom of n-1. Since we have 49 college graduates, our degrees of freedom are 48. Looking at the table, the critical value for a 90% confidence level is 1.677.

Next, we need to find the standard error, which is calculated by dividing the standard deviation by the square root of the sample size. In this case, the standard error is $11,936/sqrt(49) = $1703.05.

Substituting these values into the formula, we get:

Confidence interval = $63,800 ± 1.677 x $1703.05
Confidence interval = $63,800 ± $2852.22

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Answer:

60

Step-by-step explanation:

Answer:

20, 3 and 4 in that order going down.

1/2 is the same as 10/20 as they are both equal to one half.

1/3 is the same as 3/9 as they are both equal to one third.

3/4 is the same as 12/16 as they are both equal to three quarters.

Answer: 360

Step-by-step explanation:

done

Answer:

4:13

Step-by-step explanation:

First as stated in the problem, mark is looking to find the ratio of Yellow rose bushes planted the Total amount of rose bushes planted; so therefor we must find the total amount of rose bushes planted first.

9+4 = 13.

13 will be our second number, since it is Yellow : total.

Then, we understand that mark plants 4 yellow rose bushes, so 4 is our first number.

Now; we can put our numbers together.

4 to 13 ; \(\frac{4}{13}\) , or 4:13.

I really hope this helps! Have an amazing day!

Answer: There are a total of thirteen (13) rose bushes planted but specifically there are six (6) white, five (5) red, and two (2) yellow rose bushes.

Step-by-step explanation: I done it in my head to figure it out so, i hope this helps you have a good day love.

Answer:

x + 6 = -6

Step-by-step explanation:

Assuming x = -6

\(x+6=0\)

Subtract 6

\(x+6-6=0-6\)

Simplify arithmetic

\(x=0-6\)

Simplify arithmetic(again)

\(x=-6\)

we technically solved the equation right at the beginning when we assumed x was equal to -6 in order to group the constants to the right.

Hope this helps, have a great day!

Answer:

i think your answer would be $38.60

Step-by-step explanation:

i hope its right

Answer:

add the 5+5 =10

Step-by-step explanation:

5+5=10

hope that helps

The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day 3 days a week is 0.653, which is equivalent to 65.3%.

It is important to note that this value is based on a random sample of respondents and may not necessarily represent the true proportion of the entire population of Vermont who exercise regularly.

To find the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week, follow these steps:

1. Convert the given percentage (65.3%) to a decimal by dividing by 100: 65.3 / 100 = 0.653
2. Multiply the decimal by the number of participants in the random sample (100 respondents): 0.653 * 100 = 65.3
3. Round the result to the nearest whole number to find the number of participants who exercised: 65.3 ≈ 65
4. Divide the number of participants who exercised (65) by the total number of participants in the random sample (100): 65 / 100 = 0.65

This means that out of the 100 participants sampled from Vermont, 65.3 of them answered "yes" to the question of whether they had exercised for more than 30 minutes a day for three days out of the week.

The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week is 0.65 or 65%.

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Answer:

20/3

Step-by-step explanation:

5/k=15/20

5/k=3/4

5 x 4/3 = k

k=20/3

Answer:

linear

Step-by-step explanation:

y - x = 2x - \(\frac{2y}{3}\)

\(\frac{5y}{3}\) = 3x

y = 9x/5