Would like scatter plot image with line of best fit on the plot


1.Which variable did you plot on the x-axis, and which variable did you plot on the y-axis? Explain why you assigned the variables in that way.


2.Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.


3.What does the slope of the line represent within the context of your graph? What does the y-intercept represent?


4.Test the residuals of two other points to determine how well the line of best fit models the data.


5.Use the line of best fit to help you to describe the data correlation.


6.Using the line of best fit that you found in Part Three, Question 2, approximate how tall is a person whose arm span is 66 inches?


7.According to your line of best fit, what is the arm span of a 74-inch-tall person?


Arm Span on Left, Height on Right

58 60

49 47

51 55

19 25

37 39

44 45

47 49

36 35

41 40

46 50

58 61

68 66

^2 = SQUARED( to the second power)

Answer:

2. 2x times 2x equals 4x^2 since x times x equals x^2(and 2 times 2 equals 4. then positive i times negative i equals -i^2 which can transfer to be 1.

Step-by-step explanation:

2. 2x * 2x = 4x^2

   +i * -i = -i^2

   -i^2 can be transferred into positive 1.

   i is a variable. if you divide -i^2 by -i, then that equals i, which is 1.

3. The same thing as 2.^

   1 squared is 1. i squared is i^2. i^2 divided by i is i. i is 1. 1+1 is 2. Now put the 2 infront of the i to make 2i.

Let Me Know if anything went wrong  :)

Answer:

I think H because it is the only one going vertical

Step-by-step explanation:

The digit "1" appears 99,920 times when writing down all whole numbers from 1 to 99,999. To determine this, we can consider each place value separately.

1. Units place (1-9): The digit "1" appears once in each number from 1 to 9.

2. Tens place (10-99): In this range, the digit "1" appears in all numbers from 10 to 19 (10 times) and in the tens place of numbers 21, 31, ..., 91 (9 times). So the digit "1" appears 10 + 9 = 19 times in the tens place.

3. Hundreds place (100-999): The digit "1" appears in all numbers from 100 to 199 (100 times) in the hundreds place. Similarly, it appears in the hundreds place of numbers 201, 202, ..., 299 (100 times), and so on up to 901, 902, ..., 999 (100 times). So in the hundreds place, the digit "1" appears 100 * 9 = 900 times.

4. Thousands place (1000-9999): Similar to the previous cases, the digit "1" appears in the thousands place 1000 times in the range from 1000 to 1999. Also, it appears 1000 times in the thousands place of numbers 2000 to 2999, and so on up to 9000 to 9999. So in the thousands place, the digit "1" appears 1000 * 9 = 9000 times.

5. Ten thousands place (10,000-99,999): The digit "1" appears in the ten thousands place 90000 times since it occurs in all numbers from 10000 to 99999.

Adding up the counts from each place value:

1 + 19 + 900 + 9000 + 90000 = 99920

Therefore, the digit "1" appears 99,920 times when writing down all whole numbers from 1 to 99,999.

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The values of x that satisfy the equation p(−x ≤ t22 ≤ x) = 0.98 are all values between -2.518 and 2.518, inclusive.

The expression p(- x ≤ t22 ≤ x) represents the probability of a t-distribution with 22 degrees of freedom lying between - x and x.

We want to find the values of x such that this probability is 0.98.

We can use a table of t-distribution probabilities or a calculator to find the value of t for which the probability of a t-distribution with 22 degrees of freedom lying between −t and t is 0.98.

This value is , 2.518.

Therefore, we need to solve the inequalities:

-2.518 ≤ -x ≤ 2.518

Solving for x, we get:

-2.518 ≤ -x x ≤ 2.518

Therefore, the values of x that satisfy the equation p(−x ≤ t22 ≤ x) = 0.98 are all values between -2.518 and 2.518, inclusive.

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The total flying time for the round trip if there was no wind would be 2 hours 24 minutes. The result is obtained by using the elimination method.

The elimination method is a method for solving system of linear equations where we eliminate one variable so that we can get an equation in one variable. In doing that, we can either add or subtract the equations.

Given the case that an airplane takes 1 hour 30 minutes to fly 600 km against the wind. It takes only 1 hour in the return trip.

What would be the total flying time for the round trip if there was no wind?

Let's say:

When the airplane leaves,

v - w = 600 km / 1.5 hour

v - w = 400 kph ... (equation 1)

When the airplane returns,

v + w = 600 km / 1 hour

v + w = 600 kph ... (equation 2)

We eliminate the equation 2 and 1 to get the speed of the airplane.

v - w = 400 kph

v + w = 600 kph +

2v = 1000 kph

v = 1000 ÷ 2

v = 500 kph

For the round trip, the airplane would fly 600 × 2 = 1200 km.

The total flying time if there was no wind would be

t = s/v

t = 1200/500

t = 2.4 hour

t = 2 hours 24 minutes

Hence, the  total flying time for the round trip if there was no wind is 2 hours 24 minutes.

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Answer:

12π or 37.7 cm

Step-by-step explanation:

The formula for the circumference of a circle is 2πr or πd. In this case, r represents the radius, a segment from the center of the circle to any point on the circle. The d stands for diameter, a line running through two endpoints on the circle with the center point in the middle. This means that the diameter is twice the radius (imagine a line cutting across half a pizza and then a line cutting across only a quarter, this is diameter and radius at work!).

To solve for the circumference, I will use both formulas (although πd is easier since the diameter is already given)

2πr

2π(12/2)

2π(6)

12π ≈ 37.7 cm

πd

π(12)

12π ≈ 37.7 cm

Answer:

The equation y = -2x + 1 describes a line on a coordinate plane. To find two ordered pairs that work, you can pick any two x-values and plug them into the equation to get the corresponding y-values. For example, if you choose x = -1 and x = 4, then the corresponding y-values are y = -2(-1) + 1 = 1 and y = -2(4) + 1 = -7. This means that the two ordered pairs that work are (-1, 1) and (4, -7).

Answer:

im sorry

Step-by-step explanation:

da dog doin ur mom

Answer:

according to my calculations, no human has ever figured out what da dog doin. many have tried and failed, we are now finding various ways to test this, with many complications of course. i shall keep you informed while we find the answer to this difficult question.

Step-by-step explanation:

PFFT i tried so hard to make this sound professional

Investment B provides a higher value in comparison to Investment A.

Given that Investment A: A monthly investment of $200 starting now and lasting for 40 years at a 9% annual interest rate, compounded monthly.

Investment B: A monthly investment of $400 starting in 20 years and lasting for 20 years at a 9% annual interest rate, compounded monthly.

To Find Investment A (The present value of annuity due)

PVAD=PMT*(((1-(1+r)^-n)/r)*(1+r))

Here, PMT=$200,

r=0.75%

= (9/12)% monthly interest rate,

n=40*12

months=480P

VAD=$200*(((1-(1+0.75%)^-480)/(0.75%))*(1+0.75%))

= $67,933.50

Investment B (The present value of annuity)

PVA= PMT*(((1-(1+r)^-n)/r))

Here, PMT=$400,

r=0.75%

= (9/12)% monthly interest rate,

n=20*12

=240 months

PVA=$400*(((1-(1+0.75%)^-240)/(0.75%)))

= $69,354.54

∴ Investment B provides a higher value in comparison to Investment A.

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The dimensions for a box that will minimize the cost of the materials used to construct box length is 8.794 and height is 825.

Given:

In the question:

Rectangular box with a square base that must hold a volume of exactly 425 cm3.

The material for the base of the box costs 5 cents/cm2

and, the material for the sides of the box costs 5 cents/cm2.

To find the dimensions for a box that will minimize the cost of the materials used to construct box.

Now, According to the question:

Volume of box is 425 cm^3

V = 425\(cm^3\)

Let the dimension of base is L x L and height of box be h

V = \(L^2\) x h

Cost of base \(c_1\) =  \(L^2\) x 5 = 5\(L^2\)

Cost of sides \(c_2\) = (4Lh) x 4

\(c_2\) = 16Lh

Total Cost of the material is  = \(c_1+c_2\)

C =  5\(L^2\)  + 16Lh

C = 5\(L^2\) + 16L x 425/\(L^2\)

C = 5\(L^2\) + \(\frac{16 (425)}{L}\)

Differentiate C w.r.t L to get maximum/minimum Value

dC/dL = 10L -  \(\frac{16 (425)}{L^2}\)

L = 8.794

V = \(L^2\) x h

425 = (8.794)^2 x h

So,

h = 825

Hence, The dimensions for a box that will minimize the cost of the materials used to construct box length is 8.794 and height is 825.

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To calculate Manuel's monthly payments, we need to use the formula for a fixed-rate mortgage payment:

Monthly Payment = P * r * (1 + r)^n / ((1 + r)^n - 1)

Where:

P = Loan amount = $300,000

r = Monthly interest rate = 5.329% / 12 = 0.04441 (decimal)

n = Total number of payments = 30 years * 12 months = 360

Plugging in the values, we get:

Monthly Payment = 300,000 * 0.04441 * (1 + 0.04441)^360 / ((1 + 0.04441)^360 - 1) ≈ $1,694.18

Manuel will make monthly payments of approximately $1,694.18.

To calculate the total amount Manuel pays to the bank, we multiply the monthly payment by the number of payments:

Total Payment = Monthly Payment * n = $1,694.18 * 360 ≈ $610,304.80

Manuel will pay a total of approximately $610,304.80 to the bank.

To calculate the total interest paid by Manuel, we subtract the loan amount from the total payment:

Total Interest = Total Payment - Loan Amount = $610,304.80 - $300,000 = $310,304.80

Manuel will pay approximately $310,304.80 in interest.

To compare Michele and Manuel's interest, we need the interest amount paid by Michele. If you provide the necessary information about Michele's loan, I can make a specific comparison.

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Answer:

27 children

Step-by-step explanation:

For every 9 children, there are 4 adults. Those numbers added together equal 13. Now, if we divide the total number of adults and children by 13, we will get the number of how many groups there are of 9 kids and 4 adults.

39 / 13 = 3

There are 3 groups of 9 kids and 4 adults, which means to find the total number of children, we have to multiply 3 by 9.

3 * 9 = 27

Therefore, there are 27 children total. I know this was probably really confusing, but I hope it helped in some way! Have a lovely day!! :)

In a residual plot, the residuals are plotted against the predictor variable. Ideally, the residuals should be randomly scattered around zero, without any patterns or trends.

If there is a pattern, it suggests that the linear model is not an adequate representation of the data and a more complex model may be necessary.

In this case, the residual scatter plot shows that the residuals are randomly scattered around zero, which suggests that a linear model is appropriate for summarizing the relationship between the predictor and response variables. This means that a straight line can be used to approximate the relationship and make predictions based on the data.

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The better buy is given by the following brand:

Brand A.

The better buy is obtained applying the proportions in the context of the problem.

A proportion is applied as the cost per ounce is given dividing the total cost by the number of ounces.

Then the better buy is given by the option with the lowest cost per ounce.

The cost per ounce for each brand is given as follows:

$8 per ounce is a lesser cost than $9.3 per ounce, hence the better buy is given by Brand A.

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A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472. The substance's half-life, in days, is approximately 4.7 days.

The half-life of a substance is the time it takes for half of the substance to decay or undergo a transformation. The half-life can be determined using the formula:

t = (0.693 / k)

where t is the half-life and k is the decay constant.

In this case, we are given that the sample has a k-value of 0.1472. We can use this value to calculate the half-life.

t = (0.693 / 0.1472) ≈ 4.7 days

Therefore, the substance's half-life, rounded to the nearest tenth, is approximately 4.7 days.

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Answer:

$250

Step-by-step explanation:

Answer:

250

Step-by-step explanation:

Answer:

Let the two angles be x and 2x

Sum of angles of triangle=180°

60+x+2x=180

3x=180-60

x=120/3

x=40

2x=80

Step-by-step explanation:

40 and 80 are other two angles

Answer:

You would have $18

Step-by-step explanation:

Have a good day!

Answer:

7.5 years.

Step-by-step explanation:

Use A = 1400(1+0.02)^7.5

The 1400 is the starting money. The 1 is a constant. The 0.02 is the 2% in decimal form. And the 7.5 is years. I found that by just continually increasing it until it hit 1624.

Hope this helps

Step-by-step explanation:

Answer: 1 tablespoon

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

an=-4+3(n-1)=-4+3n-3=3n-7

a1=3×1-7=3-7=-4

a5=3×5-7=15-7=8

a1+a5=-4+8=4

the null hypothesis the company will​ use p =0.44.

What is z test?

If the data is distributed normally, a z test can be used to determine whether the means of two populations differ from one another. The z test statistic's value must be determined, together with the null hypothesis and alternative hypothesis setups, for this reason. On the z critical value, the decision criterion is based. The distribution graph is divided into acceptance and rejection zones during hypothesis testing by the z critical value. The null hypothesis can be rejected if the test statistic lies inside the rejection region; otherwise, it cannot.

Here the data is normally distributed and using the sample mean.

This is the right-tailed test.

The null  hypothesis is

H0 :  p =0.44

Hence, the null hypothesis the company will​ use p =0.44.

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Answer:

255 + d ≥ 575; d ≥ 320

Answer:

d ≥ 320

Step-by-step explanation:

The missing weights are:

2 2 2 1 11 12 12 2 24 22 24 3 37 22

Answer:

\(Average = 12\frac{4}{7} \ lb\)

Step-by-step explanation:

Given

Weight of sea glass

To solve this question, we have to calculate the mean of the weight of the sea glass as follows;

\(Average = \frac{\sum x}{n}\)

Where n = number of sea glass

\(n = 14\)

So:

\(Average = \frac{\sum x}{n}\) becomes

\(Average = \frac{2 +2 + 2 + 1 + 11 +12 +12 +2 +24+22 +24 +3 +37+ 22}{14}\)

\(Average = \frac{176}{14}\)

\(Average = 12\frac{8}{14}\)

Simplify fraction

\(Average = 12\frac{4}{7}\)

Hence; the weight of the sea glass would be \(12\frac{4}{7}\ lb\) when evenly distributed...

Answer:

x = 30

Step-by-step explanation:

5/6x- 1/5x =19

Get a common denominator of 30

5/6x * 5/5  - 1/5x * 6/6 = 19

25/30x - 6/30x = 19

19/30x = 19

Multiply each side by 30/19

19/30x * 30/19  = 30/19 * 19

x = 30

Answer:

5/6x- 1/5x =19

5/6x- 1/5x =19

?/30x=19

19/30x = 19

x = 19 / 19/30

x = 19 * 30/19

x = 30

The claim that the population mean is less than 125 (Option E) would

the interval tends to refute.

The 90% confidence interval for the population mean is 135 to 160. This means that if we were to repeat the process of taking samples from the same population and constructing a 90% confidence interval, we would expect 90% of the intervals to contain the true population mean.

With this in mind, let's consider each claim:

A. The interval does not rule out the possibility that the population mean is more than 110, as 110 is less than the lower bound of the interval.

B. The interval does not rule out the possibility that the population mean is less than 150, as 150 is greater than the upper bound of the interval.

C. The interval does not rule out the possibility that the population mean is between 140 and 150, as both of these values fall within the interval.

D. The interval does not rule out the possibility that the population mean is more than 140, as 140 is less than the upper bound of the interval.

E. The interval refutes the claim that the population mean is less than 125, as 125 is less than the lower bound of the interval.

Therefore, the answer is (E) The population mean is less than than 125.

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