2x+y=3
Зу = 18 -6x
On a graph please

For given average temperatures and °C=5/9°F-32 C represents temperature unit in celsius.

What is average?

In Maths, an average of a list of data is the expression of the central value of a set of data. Mathematically, it is defined as the ratio of summation of all the data to the number of units present in the list. In terms of statistics, the average of a given set of numerical data is also called mean. For example, the average of 2, 3 and 4 is (2+3+4)/3 = 9/3 =3. So here 3 is the central value of 2,3 and 4.  Thus, the meaning of average is to find the mean value of a group of numbers.

Average = Sum of Values/Number of Values

Also

Suppose, we have given with n number of values such as x1, x2, x3 ,….., xn. The average or the mean of the given data will be equal to:

Average = (x1+x2+x3+…+xn)/n

Now,

Given formula

°C=5/9°F-32, C represents  where °c is temperature unit in Celsius and

°F represents unit of temperature in Fahrenheit.

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Answer:

y = 3x

Step-by-step explanation:

remove the 0

Answer: i think method of least squares (d.)

Step-by-step explanation: i’m pretty sure this is correct because mean is good for unimodal, unskewed histograms, median is good for unimodal asymmetrical histograms, and mode is good for bimodal histograms. i’m not sure tho bcs i learned this in statistics.

The solution to the given system of linear equations is x = 4, y = 20

From the question, we are to determine solution to the given system of equations

The given system of equations is

x+y=6x=y+4

Thus, we can write that

x + y = 6x ----------- (1)

and

6x = y + 4 ------------(2)

Solve the two equations simultaneously

From equation (1)

x + y = 6x

y = 6x - x

y = 5x --------- (3)

Substitute into equation (2)

6x = y + 4

6x = 5x + 4

6x - 5x = 4

x = 4

Substitute the value of x into equation (3)

y = 5x

y = 5(4)

y = 20

Hence, the solution to the given system of linear equations is x = 4, y = 20

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Answer:

x=5

Step-by-step explanation:

3x+20 = 10x -15 (vert.opp ∠'s equal)

3x - 10x = - 15 - 20

-7x = -35

x= - 35/-7

x= 5

The answer is A, square root of 29

a. The events are dependent because the outcome of one cube affects the outcome of the other cube.

b. The probability of rolling an even number on the white cube and a sum of 8 is 3/36, or 1/12.

a. The outcomes of one cube influence the outcomes of the other cube, hence the events are interdependent.

There are just a few conceivable results for the black cube if the white cube displays an even number: 2 and 6, 3 and 5, or 4 and 4.

As a result, there are fewer outcomes that could happen, making the events dependent.

b. A sum of 8 and an even number on the white cube have a probability of 1/12, or 3/36.

This is due to the fact that there are three possible outcomes when rolling an 8 with an even and an odd number (2-6, 3-5, or 4-4).

Three of the 36 potential outcomes meet the requirements. The likelihood is therefore 3/36.

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Answer:

The first one

Step-by-step explanation:

All of the others are true

The amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.

In the question, we are informed that the triangle KLM, represents a section of a park set aside for picnic tables. We are also informed that the picnic area will take up approximately 400 square yards of the park.

We are asked for the amount of fencing needed to surround the perimeter of the picnic area of the park.

We know the area of a triangle can be found using the trigonometric area formula, Area = (1/2)ab sin C.

Using this in the given triangle KLM, we get:

Area = (1/2)(KL)(KM)(sin K),

or, 400 = (1/2)(KL)(45)(sin 25°),

or, KL = (400*2)/(45*sin 25°) = 800/(45*0.42262) = 800/19.017822 = 42.0658 ≈ 42 yd.

Thus, we get KL = 42 yards.

Now, the perimeter of the picnic area = the perimeter of the triangle KLM = KL + LM + MK = 42 + 20 + 45 yards = 107 yards.

Thus, the amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.

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Answer: b

Step-by-step explanation:

Answer:

a. The number of people that receive the text in the fourth round are 10³ people

b. The total number of people that receive the text are 1.1111 × 10⁴ people

Step-by-step explanation:

a. The given information are;

The number of people the text is sent to in the first round = 1

In the second round, the number of people the text is sent to by people in the first round = 10

In the third round, the number people the text is sent to by the 10 people in the second round = 10 × 10 = 100 people = 10² people

In the fourth round, the number of people the text is sent to by the people in the third round = 100 × 10 = 1000 people = 10³ people

The number of people that receive the text in the fourth round = 10³ people

b. In the fifth round, the number of people, the people in the fourth round send the text to = 1000 × 10 = 10000 people = 10⁴ people

The total number of people that receive the text = 1 + 10 + 10² + 10³ + 10⁴ people =  11111 people = 1.1111 × 10⁴ people

Answer:

10.5 miles

Step-by-step explanation:

We can use proportions to solve

14 miles         x miles

-------------- = ----------

1 hours             3/4 hours

Using cross products

14 * 3/4 = 1x

10.5 = x

For Pearson correlation the most common purpose to examine is given by option a. The relationship between 2 variables.

The Pearson correlation is a statistical measure that indicates the extent to which two continuous variables are linearly related.

It measures the strength and direction of the relationship between two variables.

Ranging from -1 perfect negative correlation to 1 perfect positive correlation.

And with 0 indicating no correlation.

It is commonly used in research to examine the association between two variables.

Such as the relationship between height and weight, or between income and education level.

Therefore, the most common purpose of a Pearson correlation is to examine the relationship between 2 variables.

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The above question is incomplete, the complete question is:

The most common purpose for a Pearson correlation is to examine,

a. The relationship between 2 variables

b. Relationships among groups

c. Differences between variables

d. Differences between two or more groups

The functions sin and cosine, sometimes known as sin() and cos(), show how a right triangle is shaped. Answer is 8.212°.

The functions sin and cosine, sometimes known as sin() and cos(), show how a right triangle is shaped.

The ratio of the opposite side to the hypotenuse is called sin(), and the ratio of the adjacent side to the hypotenuse is called cos(), when viewed from a vertex with angle.

So, the Pythagorean identity-based formula for sin is sin²x = 1 - cos²x.

Hypotenuse²=base²+perp²

(8)²=(7)²+(perp)²

64=49+(perp)²

64/49=perp²

1.306=perp²

Now taking square root on both sides

Perp=√1.306

Perp=1.142

Sin C=opposite/hypotenuse

Sin =1.142/8

Sin C=0.14285

C=Sin^-1 0.14285

C=8.212°

Answer is 8.212°.

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Answer:

\(1.94\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

\(\frac{8.6 \cdot 0.082}{0.363}\)

Step 2: Evaluate

Answer:

1.94

Step-by-step explanation:

First we  multpiy the top

8.6 x 0.082 = 0.7052

0.7052/0.363= 1.942

=1.94

Given that the correlation between two variables is r=0.23. We need to find out the new correlation that would exist if the following three changes are made to the existing variables: All values of the x-variable are added by 0.14. All values of the y-variable are doubled Interchanging the two variables.  the correct option is B. 0.37.

The effect of changing the variables on the correlation coefficient between the two variables can be determined using the following formula: `r' = (r * s_x * s_y) / s_u where r' is the new correlation coefficient, r is the original correlation coefficient, s_x and s_y are the standard deviations of the two variables, and s_u is the standard deviation of the composite variable obtained by adding the two variables after weighting them by their respective standard deviations.

If we assume that the x-variable is the original variable, then the new values of x and y variables would be as follows:x' = x + 0.14 (since all values of the x-variable are added by 0.14)y' = 2y (since every value of the y-variable is doubled)Now, the two variables are interchanged. So, the new values of x and y variables would be as follows:x" = y'y" = using these values, we can find the new correlation coefficient, r'`r' = (r * s_x * s_y) / s_u.

To find the new value of the standard deviation of the composite variable, s_u, we first need to find the values of s_x and s_y for the original and transformed variables respectively. The standard deviation is given by the formula `s = sqrt(sum((x_i - mu)^2) / (n - 1))where x_i is the ith value of the variable, mu is the mean value of the variable, and n is the total number of values in the variable.

For the original variables, we have:r = 0.23s_x = standard deviation of x variable = s_y = standard deviation of y variable = We do not have any information about the values of x and y variables, so we cannot calculate their standard deviations. For the transformed variables, we have:x' = x + 0.14y' = 2ys_x' = sqrt(sum((x_i' - mu_x')^2) / (n - 1)) = s_x = standard deviation of transformed x variable` = sqrt(sum(((x_i + 0.14) - mu_x')^2) / (n - 1)) = s_x'y' = 2ys_y' = sqrt(sum((y_i' - mu_y')^2) / (n - 1)) = 2s_y = standard deviation of transformed y variable` = sqrt(sum((2y_i - mu_y')^2) / (n - 1)) = 2s_yNow, we can substitute all the values in the formula for the new correlation coefficient and simplify:

r' = (r * s_x * s_y) / s_ur' = (0.23 * s_x' * s_y') / sqrt(s_x'^2 + s_y'^2)r' = (0.23 * s_x * 2s_y) / sqrt((s_x^2 + 2 * 0.14 * s_x + 0.14^2) + (4 * s_y^2))r' = (0.46 * s_x * s_y) / sqrt(s_x^2 + 0.0396 + 4 * s_y^2)Now, we can substitute the value of s_x = s_y = in the above formula:r' = (0.46 * * ) / sqrt( + 0.0396 + 4 * )r' = (0.46 * ) / sqrt( + 0.1584 + )r' = (0.46 * ) / sqrt(r' = (0.46 * ) / sqrt(r' = (0.46 * ) / sqrt(r' = r' = Therefore, the new correlation coefficient, r', would be approximately equal to.

Hence, the correct option is B. 0.37.

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If we want to provide a 95% confidence interval for the mean of a population, the confidence coefficient will be: D. .95.

A confidence interval is also referred to as level of confidence and it can be defined as a range of estimated values that defines the probability that a population parameter would fall or lie within it.

For instance, the confidence interval at 95% is given by p - E < p < p + E

Since the confidence interval for the mean of a population is at 95%, the confidence coefficient would be calculated by simply dividing the confidence interval by 100:

Confidence coefficient = 95/100

Confidence coefficient = 0.95

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Answer:

Line 1 and Line 2 are parallel.

The absolute error of the veterinarian's estimate is: 0.4 kg

The Percentage error the veterinarian's estimate is: 5.7%

Given:

x = 7.4 kg

x0 = 7 kg

Absolute error = |7 - 7.4| = 0.4 kg

Percentage error = 0.4/7 × 100 = 5.7%

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Answer:

132 min

Step-by-step explanation:

1 hour is 60 min so the total time is

2*60 + 12 = 132

Answer:

132 minutes

Step-by-step explanation:

Answer:

20.758

Step-by-step explanation:

8.74 + 7.086 + 4.932

The value of K is 36.

To find the value of K in the equation x² - 12x + K = 0, given that it has equal roots, we can use the discriminant.

The discriminant of a quadratic equation ax² + bx + c = 0 is given by the formula Δ = b² - 4ac.

In this case, a = 1, b = -12, and c = K.

Since the equation has equal roots, the discriminant Δ must be equal to zero.

Δ = (-12)² - 4(1)(K)

Δ = 144 - 4K

Setting Δ = 0:

144 - 4K = 0

4K = 144

K = 144/4

K = 36

Therefore, the value of K is 36.

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Answer:

4:27

Step-by-step explanation:

a guess jebeiiwhjsjshwiid

The initial cost of materials ($45) from the final selling price ($50.63) to find the profit. Taylor will make a profit of $5.63 on the painting. Taylor's profit can be calculated by subtracting her expenses from the selling price of the painting.

First, let's determine the selling price after the 50% markup. To do this, we need to add 50% of Taylor's expenses ($45) to the cost of materials.
50% of $45 = $22.50
$45 + $22.50 = $67.50
So Taylor's selling price after the markup is $67.50.
Next, let's calculate the discounted selling price after the 25% discount. To do this, we need to subtract 25% of the selling price from the selling price.
25% of $67.50 = $16.88
$67.50 - $16.88 = $50.62
So Taylor's discounted selling price is $50.62.

We can calculate Taylor's profit by subtracting her expenses from the discounted selling price.
$50.62 - $45 = $5.62
Therefore, Taylor will make a profit of $5.62 if she marks up her painting by 50% and sells it at a 25% discount. To determine Taylor's profit, we first need to find the marked-up price and then the final selling price after the discount.

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An outlier value that is greater than the numbers in the data set can impact each measure of center (mean, median, and mode) differently:

1. Mean: The presence of a significantly larger outlier increases the sum of the data set, which in turn raises the mean. As the mean is sensitive to extreme values, it may not accurately represent the central tendency of the data set when there's a large outlier.
2. Median: The median is less sensitive to outliers, as it represents the middle value when the data is sorted. The presence of a large outlier might change the median slightly, especially if the data set is small, but it generally remains a more reliable measure of central tendency than the mean when dealing with outliers.
3. Mode: The mode, being the most frequently occurring value, is not directly affected by the presence of a single large outlier. However, if there are multiple large outliers in the data set, it may cause the mode to be less representative of the overall data set.

In summary, an outlier value greater than the numbers in the data set has the greatest impact on the mean, followed by the median, while the mode remains largely unaffected.

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The solution is Option A.

The translation of the center of circle is given by ( x , y ) ⟶ ( x - 15 , y + 1 )

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

Given data ,

Let the equation for the circle A be represented as

( x - 7 )² + ( y - 1 )² = 16

Now , the equation is of the form ( x - h )² + ( y - k )² = r²

So , the radius of the circle is 4 and the center of the circle is ( 7 , 1 )

Let the equation for the circle A be represented as

( x + 8 )² + ( y - 2 )² = 16

Now , the equation is of the form ( x - h )² + ( y - k )² = r²

So , the radius of the circle is 4 and the center of the circle is ( -8 , 2 )

So , the translation of circle A to B is given by

( 7 , 1 ) to ( -8 , 2 )

So , the x coordinate is translated by 15 units to left and the y coordinate is translated by 1 unit up

Hence , the translation is given by ( x , y ) ⟶ ( x - 15 , y + 1 )

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Answer:

Find the unit price

Step-by-step explanation:

When you find the unit price, you can compare the two items' unit prices and then from there, you can justify which one is better to buy;the one with the cheaper unit price will be the better one to buy.

Answer:

Compare the cost for the each (smallest) unit.

Step-by-step explanation:

You can calculate the cost per unit

For example :

20 ounces of water of brand A cost 1.50

30 ounces of water of brand A cost 2

20 ounces of water cost 1.50/20 = 0.075 dollar per ounce

30 ounces of water cost 2/30 = 0.0677 dollar per ounce

Step-by-step explanation:

Answer:

Step-by-step explanation:

step-by-step

Answer:

26

Step-by-step explanation:

2 plus 24 is 26

Answer:y= - 2x + 16

Step-by-step explanation:

The true statement is that the grocery store has an 84% chance of selling more than 390 tomatoes in a week.

The term standard deviation is used to describe the manner in which values are scattered around the mean value. This is a very important measure in statistics.

In this case, the true statement is that the grocery store has an 84% chance of selling more than 390 tomatoes in a week.

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Answer:

There is an 84% chance that the shop sells more than 390 CDs in a week.

Step-by-step explanation: