Kiran creates a scatter plot showing the relationship between the number of students attending drama club and the number of students attending poetry club each week. The correlation coefficient for the line of best fit is -0.36.Are they correlated? Explain your reasoning.

9514 1404 393

Answer:

  126.6751 feet

Step-by-step explanation:

The tangent relation can be helpful.

  Tan = Opposite/Adjacent

  tan(69°) = (330 ft)/(distance to base)

  distance to base = (330 ft)/tan(69°) ≈ 126.6751 ft

_____

Comment on precision

It would make more sense to round to 4 significant figures. The value of a unit in the fourth decimal place is 0.0001 feet = 0.0012 inches, somewhat less than the thickness of a human hair. We know of no technology that will make a measurement of that distance to that accuracy.

Answer:

n ≥ 41/7

Step-by-step explanation:

Step 1: Write inequality

97 ≥ 3(5 - 3n) - 5n

Step 2: Evaluate for n

Distribute: 97 ≥ 15 - 9n - 5n

Combine like terms: 97 ≥ 15 - 14n

Subtract 15 on both sides: 82 ≥ -14n

Divide both sides by -14: 41/7 ≤ n

Rewrite: n ≥ 41/7

The stem-and-leaf plot of the given data is attached.

A stem-and-leaf plot refers to a device used to present quantitative data in a graphical format to help in visualizing the shape of a distribution. It is a table where each data value is split into a "stem" (the first digit or digits) and a "leaf" (usually the last digit).

From the given options, the statements that describe the percentages distributed, distribution skewness and whether there are any gaps are:

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The value of x in degrees will be 6° and 11° using properties of parallel lines.

They are typically equal-distance, parallel straight lines. The lines here are parallel. They never come together no matter how far you extend them in any one way.

Pairs of equal-sized angles that are both obtuse or acute and are generated on the same side of the transversal are known as corresponding angles. Each pair of comparable angles on the same side of the crossing transversal is equal to the other.

The alternative angle theorem states that alternate interior angles or alternate exterior angles that come from cutting two parallel lines are congruent.

In the above figure,

8x + 7 = 55

8x  = 55 - 7

x = 6

Measure of the angle will be 8 × 6 + 7 = 49

In 11)

10x + 10 = 9x + 21 (by using first corresponding angles and then alternate angles)

⇒x = 11

The value of x in degrees will be = 11° using properties of parallel lines.

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The maximum height reached by each stone is 40.5 meters.

The height of each stone above the ocean is given by the function:

h = -2t² + 2t + 40

This is a quadratic function in standard form, with a = -2, b = 2, and c = 40.

The maximum height reached by the stone occurs at the vertex of the parabolic curve described by this function.

The t-coordinate of the vertex is given as:

t = -b / 2a

Substitute the values of a and b,

t = -2 / (2×(-2)) = 0.5

So the maximum height is reached 0.5 seconds after the stone is thrown.

To find the maximum height, substitute the value of t into the function:

h = -2(0.5)² + 2(0.5) + 40 = 40.5 meters

Therefore, the maximum height reached by each stone is 40.5 meters.

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41/2 days is equivalent tο 492 hοurs.

Divisiοn is an arithmetic οperatiοn that invοlves splitting a quantity intο equal parts οr determining hοw many times οne quantity is cοntained within anοther. It is cοmmοnly denοted by the symbοl ÷ οr /, and can be written as a fractiοn οr as a ratiο.

We knοw that there are 24 hοurs in day therefοre,

Tο cοnvert 41/2 days tο hοurs, we can use the fact that there are 24 hοurs in οne day:

41/2 days x 24 hοurs/day = 41 x 12 = 492 hοurs

Therefοre, 41/2 days is equal tο 492 hοurs.

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Answer:

C. 22 cups

Step-by-step explanation:

To solve this question, we must first turn the mixed fraction into an improper fraction so it is easier to work with. We can do this by multiplying the whole number (3) by the denominator (3) and then adding it to the numerator (2).

\(3\frac{2}{3}=\frac{3*3+2}{3}=\frac{11}{3}\)

From here, we can now divide this fraction by the other one by multiplying it by its inverse:

\(\frac{11}{3}/\frac{1}{6}=\frac{11}{3}*\frac{6}{1}\)

This gives us a final answer of:

\(\frac{66}{3}=22\)

Olivia will fill 22 cups, so Option C.

Hope this helped!

Answer:

y=1x-7

Step-by-step explanation:

Mean= $57,000,000 and Median=$57,000,000

What is Mean?

One of the most significant and often employed metrics of central tendency is the mean. In mathematics, there are various different kinds of means. In statistics, the mean is the product of all the values in a set of data divided by the total number of values in the data for a particular set of observations. To put it another way, calculating the mean of a data set only requires adding up all the values and dividing the result by the total number of values. However, depending on whether grouped or ungrouped data is provided, the basic approach and formulae change.

Mean = 1/5 * (Sum of all agencies)

= 1/5 * (86,700,000 + 63,200,000 + 62,900,000 + 36,200,000 + 36,000,000)

= $57,000,000

Since the number of entries are odd,

hence median = 1/2 * (5+1) = 3rd item in the sorted list, which is equal to $57,000,000

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According to the information, we can infer that the correct expression is (10 * 7) + (2 * 7) (option D).

To find the correct expression we must look at the graph and interpret the information it has. In this case, some tiles are white and others are gray, so they would represent different elements. In this case, the white area is 10 * 7 tiles, so this would be the first part of the expression.

On the other hand, the second part of the expression would be 7 * 2, which represents the length, length and width of the gray area. According to the above, the correct expression would be (10 * 7) + (2 * 7), the first part in parentheses represents the white area and the second part in parentheses represents the gray area.

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Answer:

I'm not so very sure but I really need points

The total amount in her account after t years will be 1500 + 30t.

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

The total amount A in an account earning simple interest is given by the equation A = P + Prt, where P is the principal, r is the rate as a decimal, and t is time in years.​

Faith deposited $1500 in an account earning 2% simple interest.

The total amount in her account after t years will be

A = 1500 + 1500 × 0.02 × t

A = 1500 + 30 × t

The total amount in her account after t years will be 1500 + 30t.

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Answer:

{x + y= 239

{15x + 5.50y = 2758.50

Step-by-step explanation:

x = adults    y = children and the total amount of people is 239.

$15 for adults and $5.50 for children and the total cost equals $2758.50.

Answer:

Its C

Step-by-step explanation:

1/9

Answer:

1/9

Step-by-step explanation:

Edge

2.D 9

Step-by-step explanation:

sana nakatulong

Answer:

The answers to the questions are well numbered below.

Step-by-step explanation:

We have arrival rate

λ = 7 in every 10 minutes = 0.7

Service time u = 7 minutes

1. Average time a car is in system

W = 1/u - λ

= 1/7-0.7

= 0.1587

= 0.16 to 2 decimal places

2. Average number of cars in system

= λ/u-λ

= 0.7/7-0.7

= 0.1111

= 0.11 to 2 decimal places

3. Average time that cars spend to receive service

= λ/u(u-λ)

= 0.7/7(7-0.7)

= 0.01587

= 0.016 to 2 decimal places

4. Average number of cars in line behind customer receiving service

= λ²/u(u-λ)

= 0.7²/7(7-0.7)

= 0.49/44.1

= 0.011 to 2 decimal places

5. Probability no cats at window

1-λ/u

= 1-0.7/7

= 0.9 = 9%

6. Percentage of time postal clerk is busy

= λ/u = 0.7/7 = 0.1 = 10%

7. Probability of exactly 2 cars

= λ²e^-λ/2!

= 0.7²e^-0.7/2!

= 0.1217

= 12.17%

yeahStep-by-step explanation:

Answer:

4%

Step-by-step explanation:

To find the sales tax rate you need to divide the tax amount by the item amount so in this case it is 13.60/340 with an answer of 0.04 meaning the tax rate is 4%. Hope this helps!

Answer: Hi! Read the explanation below:

Brainliest?

Step-by-step explanation:

Predict:

Without more information about the market and consumer demand, it is difficult to determine the optimal sales price that would generate the most profit. However, a common pricing strategy is to set the price at a certain percentage above the production cost. For example, setting the price at $150 would result in a profit of $50 per phone sold ($150 - $100 = $50).

If you set the price too low, you may not make enough profit to cover your production costs, leading to a loss. Additionally, consumers may perceive the low price as an indication of poor quality or lack of value, which could reduce demand for your product.

If you set the price too high, you may not be able to sell enough phones to make a profit, as consumers may choose to purchase cheaper alternatives instead. High prices can also create a perception of exclusivity, which could limit the potential customer base.

Calculate:

See the table below.

Price ($) Quantity Demanded (Q) Total Revenue (TR) Total Cost (TC) Profit (TR-TC)

100 20 2,000 2,000 0

120 18 2,160 1,800 360

140 16 2,240 1,600 640

160 14 2,240 1,400 840

180 12 2,160 1,200 960

200 10 2,000 1,000 1,000

Analyze:

Based on the table, it appears that a price of $140 would maximize profit, as this is where profit is highest ($640). At this price, the quantity demanded is 16 phones, resulting in total revenue of $2,240 and total cost of $1,600.

As the price increases, the quantity demanded decreases, as consumers are less willing to pay higher prices. This leads to lower total revenue and profit.

The x-intercept is when profit is equal to zero, or where TR = TC. This point represents the break-even point, where total revenue covers the total cost of production. In this case, the x-intercept is at a price of $150.

Quadratic Regression:

a) Using the provided calculator link, we obtain the following values:

a = 0.05

b = -10

c = 500

r2 = 0.9

b) The standard form of the equation that represents the data is:

f(x) = 0.05x2 - 10x + 500

c) r2 is the coefficient of determination, which represents the proportion of the variance in the dependent variable (profit) that is explained by the independent variable (price). An r2 value of 0.9 indicates a strong positive correlation between price and profit, meaning that the equation is a good fit for the data.

d) See graph below.

Graph of quadratic equation

Evaluate:

Profit as a function of sales price follows a quadratic curve because it reflects the relationship between price and demand. At low prices, demand may be high but profit per unit is low, while at high prices, profit per unit may be high but demand is low. The optimal price is the one that balances these

The used values are;

p = $10,000

r = 3.3%

n = 9 years

And, The amount after 9 years will be $14,593.

What is Simple interest?

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

Given that;

A bank features a savings account that has an annual percentage rate of r = 3.3% with interest compounded quarterly.

And, Maia deposits $10,000 into the account.

Now,

Since, The interest rate is for compounded quarterly.

So, The used formula is,

⇒ \(A = P (1 + \frac{r}{4} )^n^t\)

Here, P = $10,000

r = 3.3% = 0.033

n = 4

t = 9

Substitute all the values, we get the amount after 9 years,

⇒ \(A = P (1 + \frac{r}{4} )^n^t\)

⇒ A = $10,000 (1 + 0.033/4)³⁶

⇒ A = $10,000 (1 + 0.008)³⁶

⇒ A= 10,000 × (1.008)³⁶

⇒ A = 10,000 x 1.45

⇒ A = $14,593

Thus, The amount after 9 years will be $14,593.

Therefore, The used values are;

p = $10,000

r = 3.3%

n = 9 years

And, The amount after 9 years will be $14,593.

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According to census the total number of male and female was 88,51,84,692, if number of male was 45,40,34,570 the number of female population is 43,11,50,122.

To find the wide variety of girl population, we will subtract the quantity of male population from the full population.

Total population = 88,51,84,692

Number of male = 45,40,34,570

Number of female = Total population - Number of male

= 88,51,84,692 - 45,40,34,570

= 43,11,50,122

Therefore, the number of female population is 43,11,50,122.

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The distance between points R and S is  \(\sqrt{ (185)\). The correct answer is D. She made no errors.

Heather's work to find the distance between two points, R(-3,-4) and S(5,7), is shown:

RS = √(-4) (-3))² + (7 − 5)²

= √(-1)² + (2)²= √1 + 4

= √5

The error is with the order of subtraction in the formula for the distance between two points.

Heather did not make any errors in calculating the distance between two points. Therefore, the correct answer to the question above is (OD) She made no errors.

The formula for the distance between two points, A (x1, y1) and B (x2, y2), in the coordinate plane is given as;

dAB = \(\sqrt{  ((x^2 - x1)^2 + (y2 - y1)^2)\)

Comparing the given question with the formula above, we have;

A = R (-3, -4) and B = S (5, 7)The distance, AB = RS.

Therefore, we have;

RS = \(\sqrt{ ((5 - (-3))^2 + (7 - (-4))^2)\)

On solving the above equation;RS = \(\sqrt{ ((5 + 3)^2 + (7 + 4)^2)\)RS

= \(\sqrt{ (8^2 + 11^2)RS\)

= \(\sqrt{ (64 + 121)RS\)

= \(\sqrt{ (185)\)

Therefore, the distance between points R and S is  \(\sqrt{ (185)\).

From the calculation, it is clear that Heather did not make any errors while calculating the distance between two points. The answer obtained by Heather is correct.

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The inequality that represents the number of each type of calculator she can buy will be 25x + 65y ≤ 800

Given that teacher needs to purchase some scientific calculators for $25 each and some graphing calculators for $65 each.

Consider that x equal the number of scientific calculators and y equal the number of graphing calculators she buys She can only spend up to $800 for the calculators.

The inequality that represents the situation becomes as;

25x + 65y ≤ 800

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Step-by-step explanation:

The exterior angles of a triangle is equal to the sum of two non - adjacent interior angles. Now , Set up an equation and solve for x.

\( \large{ \tt{x \degree = 63 \degree + 86 \degree}}\)

\( \large{ \tt{x \degree = \boxed{ \tt{149 \degree}}}}\)

Hope I helped ! ツ

Have a wonderful day / night ! ♡

# \( \underbrace{ \text{Carry \: On \: Learning}}\) !! ✎

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Answer:

Step-by-step explanation:

12y = 2x + 12

y = 2/12x + 12/12

y = 1/6x + 1

The slope intercept form is y = (1/6)x + 1.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

12y - 2x = 12

The slope intercept form is y = mx + c.

So,

12y - 2x = 12

Add 2x on both sides.

12y = 12 + 2x

12y = 2x + 12

Divide both sides with 12.

y = (2/12)x + (12/12)

y = (1/6)x + 1

Thus,

The slope intercept form is y = (1/6)x + 1.

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If Fran and Jill made a new years resolution to ride bikes.  it will take 3 weeks for Fran and Jill to have ridden the same number of miles..

Let's assume that it takes "x" number of weeks for Fran and Jill to ride the same number of miles.

In the first week, Fran rides 40 miles, and Jill rides 70 miles.

In the "x"th week, Fran will have ridden a total of 40 + 55x miles.

In the "x"th week, Jill will have ridden a total of 70 + 45x miles.

For Fran and Jill to ride the same number of miles in "x" weeks, we need to solve the following equation:

40 + 55x = 70 + 45x

Simplifying this equation, we get:

10x = 30

x = 3

Therefore, it will take 3 weeks for Fran and Jill to have ridden the same number of miles.

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Based on the given information, we have a square pyramid with points M and N being the midpoints of the edges of one face. and forms a parallelogram. Option D

Since the base of the pyramid is a square, the cross section will consist of a square shape. Additionally, since the slice is made through the midpoints of the edges of the face, the resulting cross section will have parallel sides.

Considering these characteristics, we can conclude that the shape of the resulting cross section is a parallelogram. A parallelogram is a quadrilateral with opposite sides parallel. In this case, the opposite sides of the square cross section will be parallel, as the slice passes through the midpoints of the edges.

Therefore, the correct answer is D. parallelogram.

It's important to note that a triangular prism is not the correct answer because a triangular prism is a three-dimensional figure with two triangular bases and three rectangular faces. The cross section resulting from the given slice will not have the characteristics of a triangular prism. Option D.

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Answer: 3 refills

Step-by-step explanation:

$1.65 + 0.95 + 0.95 + 0.95 = $4.50