The table below gives the age and bone density for five randomly selected women. Using this data, consider the equation of the regression line, y = bo + b1x, for predicting a woman's bone density based on her age. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant Age 34 38 43 48 65 Bone Density 349 347 338 324 323

Answer: I beleive that the systems of transformation are that

Figure JKLM to Figure J' K' L' M' is a Rotation

Figure J' K' L' M' to Figure J" K" L" M" is a Dilation

Step-by-step explanation:

Answer: 50 degrees

Step-by-step explanation:

Answer:

Domain (4, 18, 45, 58)

Range (-6, 5, 10)

Step-by-step explanation:

Answer:

41.75

Step-by-step explanation:

First we divide :)

25/15 = 1.67

Now we multiply!!

1.67 x 25 = 41.75

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By using unit analysis, it can be concluded that the length of the coffee cup is 117 millimeters.

Unit analysis is a method of converting units by multiplying the original measurement by a conversion factor.

The length of the coffee cup is 0.117 meters.

To convert this to millimeters, we will use unit analysis.

First, we will write the original measurement as a fraction:

0.117 meters / 1

Next, we will multiply this fraction by a conversion factor that has the unit we want (millimeters) in the numerator and the unit we have (meters) in the denominator:

0.117 meters / 1 × 1000 millimeters / 1 meter

The meters will cancel out, leaving us with:

0.117 × 1000 millimeters / 1

Finally, we will simplify the fraction to get our answer:

117 millimeters

So the length of the coffee cup is 117 millimeters.

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Answer:

16.8

Step-by-step explanation:

the one above would the y

Answer: x1= -3, x2=3

Step-by-step explanation:

3xlxl=8+1

3xlxl=9

lxl=3

x=3

=-3

solution

x1= -3, x2=3

The probability that one of the scores in the sample is less than 1484 is 0.2437 .

a)Given that mean u = 1403

standard deviation σ = 200

sample size n = 32

P(x>1484) = P(X-u/σ > 1484-1403/200)

                = P (z > 0.405)

P(x>1484) = 0.2437 .

hence the probability that one score is greater than 1484 is 0.405 .

b) Now we have to find the average of the scores of 48 samples.

P(x>1484)

= P(x-μ/ σ/√n> 1484-1403 /200/√48)

= P(z>2.805.)

Now we will use the normal distribution table to calculate the p value to be 0.002516.

p-value = 0.0025

Normal distributions are very crucial to statistics because not only they are commonly used in the natural and social sciences but also to describe real-valued random variables with uncertain distributions.

They are important in part because of the central limit theorem. This claim states that, in some cases, the average of many samples (observations) of a random process with infinite mean and variance is itself a random variable, whose distribution tends to become normal as the number of samples increases.

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Answer:

i think 18

Step-by-step explanation:

Answer:

All real numbers

Step-by-step explanation:

14x+7=7(2x+1)

Divding both sides by 7, we have

2x + 1 = 2x + 1, and any number can fit this equation. Therefore the answer is all numbers.

Answer:

C

Step-by-step explanation:

Multiplying 1.6 gets you how far he walks, and then dividing the answer gives you how many times he would be stops, roughly 6.4 times

Answer:

The angle between the ropes is 73⁰ to whole number.

What is right angled triangle?

A right-angled triangle is one with one of its inte angles equal to 90 degrees, or any angle is a right angle.

What is Trignometry?

Trigonometry is one of the branches of mathematics. It is the study of the relationship between the sides and angles of a right-angle triangle. As a result, using trigonometric formulas, functions, or trigonometric identities,we can find the missing or unknown angles or sides of a right triangle.

According to the given information:

Using the Pythagoras theorem

c²=a²+b²

Input the figures into the formula

c²=1.5²+2²

c²=2.25+4

c²=6.25

c=√6.25

c=2.25 m

We know the trignometric formula:

Cos∅= (a²+b²-c²)/2ab

Input the values also to get

Cos∅=(2.25²+2.25²-3²)/2*2.25*2.25

Simplifying to get

cos∅=(6.25+6.25-9)/12.5

cos∅=3.5/12.5

⇒cos∅=0.28

∅=\(cos^{-1}\) 0.28

 = 73.7

∅≅73⁰

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73⁰ to the whole integer is the angle between the ropes.

Any angle is a right angle if one of the interior angles of the trapezoid equals 90 degrees.

One of the areas of mathematics is trigonometry. It is the examination of how a right-angle triangle's edges and angles interact. As a consequence, we can determine the sides or angles of a right triangle that are missing or unknown by using trigonometric formulas, functions, or identities.

Using the Pythagoras theorem

c²=a²+b²

Input the figures into the formula

c²=1.5²+2²

c²=2.25+4

c²=6.25

c=√6.25

c=2.25 m

We know the trignometric formula:

Cos∅= (a²+b²-c²)/2ab

Input the values also to get

Cos∅=(2.25²+2.25²-3²)/2*2.25*2.25

Simplifying to get

cos∅=(6.25+6.25-9)/12.5

cos∅=3.5/12.5

⇒cos∅=0.28

∅=cos⁻¹ 0.28

= 73.7

∅≅73⁰

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Answer:hope this helps

Step-by-step explanation:

It’s on the imagen

Answer:

Y= 3x/4+5                             X= 4y/3-20/3

Step-by-step explanation:

For Y divide each term by 5 and simplify.

For X solve for x by simplifying both sides of the equation, then isolating the variable.

Answer:

24

Step-by-step explanation:

Answer:

The answer is 274

Step-by-step explanation:

Now,

Definition of Variance:

So,

\( \frac{ {(87 - 78)}^{2} + ( {46 - 78)}^{2} + (90 - 78) {}^{2} + ({78 - 78)}^{2} + ( {89 - 78)}^{2} } {5} \)

\(Var(X) \: = \frac{1370}{5} = 274 \\ \)

Thus, The variance of the sequence is 274.

The gallons of 16%salt solution required to obtained 20% of salt solution is equal to 5 gallons.

Let us consider 'x' be the salt solution of 16%

And 'y' be the salt solution with 25%

Total gallons of salt used is equal to 4 gallons

Required salt solution = 20%

Equation formed as per given information :

16% of x + 25% of 4 = 20% of ( 4 + x )

⇒ ( 16 / 100 ) × x + ( 25 / 100 ) × 4 = ( 20 / 100 ) × ( 4 + x )

⇒ 0.16x + 1 = 0.8 + 0.20x  

⇒ 0.20x - 0.16x  =  1 - 0.8

⇒ 0.04x = 0.2

⇒ x  = 0.2 / 0.04

⇒ x =  20 / 4

⇒ x = 5 gallons

Therefore, 5 gallons of salt solution is required to obtained 20% of salt solution.

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The total cost of 4 persons is 12

From the graph, we have the following points:

(1, 3), (2, 6) and (3, 9)

This means that the total cost of x person is 3 multiplied by the number of person (x)

i.e.

Total cost = 3 * Total person

When the number of people is 4

This gives

Total cost = 3 * 4

Evaluate

Total cost = 12

Hence, the total cost of 4 persons is 12

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Answer:

See below

Step-by-step explanation:

The chi-squared analysis aims to check whether observed frequencies in one or more categories match up with expected frequencies. I don't see any answer choices, but hopefully this short explanation will help!

\(\sqrt[3]{270}\qquad \begin{cases} 270=2\cdot 3\cdot 3\cdot 3\cdot 5\\ \qquad ~~ 2\cdot 3^3\cdot 5\\ \qquad ~~ 3^3\cdot 10 \end{cases}\qquad \implies \sqrt[3]{3^3\cdot 10}\implies 3\sqrt[3]{10}\)

This value represents the present worth below which the probability is 0.5, indicating a negative present worth.

To estimate the probability that the present worth is negative using the NORM.INV function in Excel,

we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.

The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).

Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),

where t is the year. We then sum up these present values for each year.

We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.

Since we have a mean and standard deviation for the present worth,

we can calculate the corresponding probability of a negative present worth using NORM.INV.

This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,

we can estimate the probability that the present worth is negative based on the given data and assumptions.

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The function \(B(t) = 182(1.065)^t\) represents the annual population of bees in a county park, the growth rate is 6.5%.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.

Length of Charles garden = 12.5 m * 12 = 150 m

Length of Stephen chain = 150 m /18 = 25/3 m

Breadth of Charles garden - 25/3 * 10 = 250/3 m

Area of Charles garden = 150 m * 250/3 m = 12500 m =

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EXPLANATION

The player tries to throw a disc into the metal basket, so the targets that are closest togheter are represented by the BC segment because it has the closest angle and path.

The angle CBD is equal to 64 degrees by sum of interior angles definition. Furthermore, angle CBD is congruent to angle ABD.

The angle DAB is equal to 56 degrees.

In order to get an angle DAB equal to 56 degrees, the point A must be further away.

So, the only triangle that can satisfy the condition is the △BCD.

The point D is not an option because it is farther away from B and D because it has a closest angle.

So, the answer is the segment BC.

Answer:

  rectangle

Step-by-step explanation:

If the slice is perpendicular to the base, it can intersect at most two lateral faces and the parallel base. Hence the shape produced will be a rectangle.

Answer:

The vertex, a maximum, is (25, 2400). It reveals that the maximum profit will result when the tickets are $25, and then the profit will be $2400.

Explanation:

p(d) = -4d² + 200d - 100

Comparing it with quadratic function, ax² + bx² + c

Here given: a = -4, b = 200, c = -100

Using Vertex Formula: x = -b/2a = -200/2(-4) = 25

Then find y = -4(25)² + 200(25) - 100 = 2400

Solution Set : (x, y) → (25, 2400)

As a > 0, the vertex is maximum.

Measure of angles ∠Q,∠T,∠R are 98°, 98°, 82° respectively.

An isosceles trapezoid can be defined as a trapezoid whose non-parallel sides and base angles have the same measure. That is, if the two opposite sides (bases) of a trapezoid are parallel and the two non-parallel sides are of equal length, it is an isosceles trapezoid.

Given,

Isosceles trapezoid QRST

m∠S = 82°

Base angles are equal in Isosceles trapezoid

m∠R = m∠S

m∠R = 82°

and

m∠Q = m∠T

Sum of all interior angles of a quadrilateral is 360°

m∠Q + m∠T + m∠R + m∠S = 360°

m∠Q + m∠Q + 82° + 82° = 360°

2 m∠Q = 360° - 164°

2 m∠Q = 196°

m∠Q = 98°

m∠T = 98°

Hence, 98°, 98°, 82° are measure of angles ∠Q,∠T,∠R respectively.

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The two values of the expression 5x - 6 are -6 and 9 when x takes the values of 0 and 3, respectively.

We have,

To find two values of the expression 5x - 6, we need to assign different values to x and evaluate the expression.

Let's choose two arbitrary values for x and calculate the corresponding values of 5x - 6:

If we let x = 0:

5x - 6 = 5(0) - 6 = -6

If we let x = 3:

5x - 6 = 5(3) - 6 = 15 - 6 = 9

Therefore,

The two values of 5x - 6 are -6 and 9 when x takes the values of 0 and 3, respectively.

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Answer:

\(x=16y^2-5\)

Step-by-step explanation:

Lets solve for x.

\(\frac{\sqrt{x+5} }{4} =y\)

Multiply both sides of the equation by 4.

\(\sqrt{x+5}=4y\)

Eliminate the square root on the left side raising both sides of the equation to the power of 2.

\(\sqrt{x+5}^2=(4y)^2\)

The square root and the exponent on the left side cancel out leaving us with

\(x+5=(4y)^2\)

Distribute the exponent on the right side.

\(x+5=4^2y^2\)

Simplify.

\(x+5=16y^2\)

Subtract 5 from both sides.

\(x=16y^2-5\)

FIFO: March 16 - Accounts Receivable 21,250, Sales Revenue 21,250, Cost of Goods Sold 13,750, Inventory 13,750.

LIFO: March 16 - Accounts Receivable 21,250, Sales Revenue 21,250, Cost of Goods Sold 14,500, Inventory 14,500.

The FIFO inventory valuation method assumes that the items purchased first are sold first. Therefore, for the March 16 sale, we need to record the cost of goods sold using the cost of the oldest units still in inventory. In this case, since 550 units were purchased on January 1 and 350 units were purchased on February 5, the cost of goods sold would be calculated based on the cost of the 250 units from the January 1 purchase, which amounts to SAR 13,750. The corresponding entry reduces the inventory and records the cost of goods sold.

The LIFO inventory valuation method assumes that the items purchased last are sold first. Thus, for the March 16 sale, we need to record the cost of goods sold using the cost of the most recent units purchased. Since 350 units were purchased on February 5, the cost of goods sold would be calculated based on the cost of these units, which amounts to SAR 14,500. The corresponding entry reduces the inventory and records the cost of goods sold.

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