A doctor collects data on all the men in his practice. They have an average age of 45 years, with a standard deviation of 15 years. They have an average systolic blood pressure of 150 mmHg, with a standard deviation of 10 mmHg. The two variables have correlation r=0.7.
a) Using regression, calculate the predicted systolic blood pressure for a man in the practice who is i) 30 years old ii) 45 years old iii) 50 years old
b) The above predictions all are subject to error. The average size of such errors is about ___ mmHg, and 95% of the predictions we make using regression will be correct to within about ___ mmHg.
c) A man is selected at random from the practice. He is 60 years old, which means that he is ___ SD(s) above the average age of men in the practice. Another way of expressing his relative age is that he is at the ___ percentile of age among all men in the practice.
d) Using regression, we can predict the man from part (c) will have a blood pressure that is ___ SD(s) above average. Therefore, he is predicted to be at the ___ percentile of blood pressure.

If we restrict the domain of the function to the portion of the graph with a positive slope, the domain of the inverse function will be the range of the original function for values of x greater than 4, and its range will be all real numbers greater than or equal to 4.

The given function f(x) = |x – 4| + 6 is a piecewise function that contains an absolute value. The absolute value function has a V-shaped graph, and the slope of the graph changes at the point where the absolute value function changes sign. In this case, that point is x=4.

If we restrict the domain of f(x) to the portion of the graph with a positive slope, we are essentially considering the piece of the graph to the right of x=4. This means that x is greater than 4, or x>4.

The domain of the inverse function, f⁻¹(x), will be the range of the original function f(x) for values of x greater than 4. This is because the inverse function reflects the original function over the line y=x. So, if we restrict the domain of f(x) to values greater than 4, the reflected section of the graph will be the range of f⁻¹(x).

The range of f(x) is all real numbers greater than or equal to 6 because the absolute value function always produces a positive or zero value and when x is greater than or equal to 4, we add 6 to that value. The range of f⁻¹(x) will be all real numbers greater than or equal to 4, as this is the domain of the reflected section of the graph.

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The perimeter of the figure described in the question is 42.84cm

The figure is defined by a half circle is joined to an equilateral triangle with side lengths of 12 units.

So the perimeter of the figure will be equal to half of the circumference of the triangle plus the length of the two exposed sides of the triangle.

The diameter of the circle will also be 12 units, remember that the circumference of a circle of diameter D is:

C = 3.14*D

In this case, the circumference of half circle is:

C = 3.14*D/2

Replacing the value of the diameter:

C = 3.14*12cm/2 = 18.84cm

Adding the two sides of the triangle we get the perimeter.

P = 18.84cm + 2*12cm = 42.84cm

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Answer:

4020

Step-by-step explanation:

An orthonormal set is a set of orthogonal unit vectors.

Normalization is the process of making unit vectors.

A set of vectors in which each vector is orthogonal to every other vector in the set is called an orthogonal set of vectors.

Two vectors are orthogonal when their dot product equals zero.

An orthonormal set is one in which each vector has length 1 and is orthogonal.

The process of creating a vector of length 1 in the same direction of the original vector is called "normalization".

An orthonormal set of vectors that is a basis of a vector space is quite useful. We can use the Gram-Schmidt process to transform a basis of a vector space (which may not be orthogonal) into an orthonormal basis.

To normalize vectors to produce an orthonormal set of vectors, we calculate the length of the vector and divide the vector by its length, to obtain a unit vector.

Since the question asked about "how to normalize vectors to produce an orthonormal set" that implies that the vectors already form an orthogonal set.

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The given question is incomplete,

So , I take another question, The question is:

How to normalize vectors to produce an orthonormal set?

Answer:

1. open circle on the 5 facing left

2.closed circle on the 5 facing right

3.open circle on the 11 facing left

4.open circle on the 3 facing right

5.closed circle on the 7 facing left

6. open circle on the 6 facing right

LP = HE

5x + 6 = 31

Subtract 6 from both sides

5x = 25

Divide both sides by 5

X = 5

Answer:

5x+6=31(opposite sides are equal)

5x=31-6

5x=25

x=25/5

x=5

hope it helps u

The width of the image which was photocopied by Jackie and has an initial length of 6 inches and width of 4 inches is 6 inches.

An area is a unit of measurement used to describe the size of a region on a planar or curved surface. While a plane region or area refers to the area of a shape or planar lamina, a surface region or plane area refers to the area of an open surface or the boundary of a three-dimensional object.

Given:

The initial length of the image, l = 6 inches,

The initial width of the image, w = 4 inches,

The reduced length of the image, L = 4 inches,

The area of the initial image = The area of the reduced image,

l × w = L × W

Here W is the reduced width.

Substitute the values,

6 × 4 = 4 × W

W = 6 inches,

Therefore, the width of the image which was photocopied by Jackie and has an initial length of 6 inches and width of 4 inches is 6 inches.

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Answer:

The most basic question I have ever seen lol

XY = 9*3 = 27

Answer:

-5/2

Step-by-step explanation:

You have to take y2-y1 and divide it by x2-x1

Answer: Tonya's calculation is incorrect because she mixed units of measurement. She used feet to measure one dimension of the room (10 feet) and inches to measure the other dimension (120 inches) and then calculated the area as 10 x 120 = 1200 square feet.

Area is a measure of the amount of space inside a two-dimensional shape, and it's typically measured in square units. To calculate the area of a rectangular room, you multiply the length of the room by the width of the room,

However in this case, Tonya used different units of measurement for length and width (feet and inches), and therefore the answer is incorrect.

You would need to convert inches to feet before multiplying 10 feet by 120 inches to get the area.

120 inches = 10 feet

So, the correct calculation of the area would be 10 feet * 10 feet = 100 square feet

It's worth mentioning that before calculating any area or volume, it's important to make sure that all units of measurement are consistent and the same.

Step-by-step explanation:

Answer: The answer is D, 5/6.

Step-by-step explanation: The reciprocal of a fraction is that fraction but the numerator and denominater swapped places.

Answer:

5/6

Step-by-step explanation:

The reciprocal is where you flip the fraction

6/5 -> reciprocal -> 5/6

I'm not sure about your answer choices tho, sorry

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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Jordan spend 25 minutes writing each dayNoHow much time does Jordan spend writing each dayFrom the question, we have the following parameters that can be used in our computation:D + W = 75W + 25 = DSo, we haveW + W + 25 = 75EvaluateW = 25This means that Jordan spends 25 minutes on writing is it possible?Based on the answer in (a), the truth statement is No

No, the relationship on the table is not proportional

From the question, we have the following parameters that can be used in our computation:

x   y

____ ____

6 -2

7 -1

8 0

9  1

On the table of values, we can see that:

Using the above as a guide, we have the following:

The relationship is not a proportional relationship

This is so because it does not have a constant rate (addition of 1 to x and y does not represent proportional relationship)

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Answer:

88 years old

Step-by-step explanation:

(I put 2x because the question says twice his age. If the question said 3 times his age I would of put 3x)

2x = 500-324

2x = 176

Divide both sides by 2

x = \(\frac{176}{2}\)

88

Step-by-step explanation:

\({ ({6}^{ - 4} ) }^{ - 9} \div 6^{6} = {6}^{( - 4) \times (- 9)} \div {6}^{6} = {6}^{( 36)} \div {6}^{6} = {6}^{ (36)- 6} = {6}^{ 30} \)

Answer:

  y = (√3)/2

Step-by-step explanation:

The unit circle has equation ...

  x^2 +y^2 = 1

For x = 1/2, the value of y can be found to be ...

  (1/2)^2 +y^2 = 1

  y^2 = 1 - 1/4 = 3/4 . . . . . subtract 1/4

  y = √(3/4) . . . . . . . . . . take the square root (y > 0 here)

  y = (√3)/2

Answer:22.25 oz

Step-by-step explanation:

1 batch of cookies = 8.9 oz

2.5 batches of cookies = x oz

cross multiply

1x=8.9(2.5)

x=22.25 oz

Answer:

-1,-3 is on quadrant 3

-1,7 is on quadrant 2

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

2x6=12

2x6=1212-3=9

Hence, the equation is false.

Answer:9/41

SOH = opposite over hypotenuse

Step-by-step explanation:

Answer:

50/50

Step-by-step explanation:

Answer:

Step-by-step explanation:

639÷0.3=

2130

the answer is

639÷0.3=

2130

Answer:

Hello There. ☆~\---___`:•€`___---/~☆ The correct answer is C. Both (1,3) and (-2,-4).

To check whether (-2,-4) is a solution of the equation let's substitute x= -2 and y= -4 into the equation:

-7x+3y=2

-7*(-2)+3*(-4)=2

14-12=2

2=2

Do the same thing with (1,3)

-7x + 3y = 2

-7 * 1 + 3 * 3 = 2

-7 + 9 = 2

2 = 2.

Hope It Helps!~ ♡

ItsNobody~ ☆

Tara kept 5 plums out of the original 9 plums she had. In fraction form, she kept 5/9 of her plums.

To solve the problem, let's break it down step by step.

Tara initially has a certain number of plums. We don't know the exact number, but we can represent it as a whole unit, let's say 9 plums for simplicity.

Tara gives 1/3 of her plums to her best friend. Since she started with 9 plums, 1/3 of that is 3 plums. So, she gives away 3 plums to her best friend.

Now, Tara has 9 - 3 = 6 plums remaining.

Next, Tara gives 2/9 of her plums to her sister. Since she now has 6 plums, 2/9 of that is (2/9) * 6 = 12/9 = 4/3 plums. However, Tara cannot give away 4/3 plums since it's more than what she has.

So, she can only give away the maximum amount possible, which is 1 plum (since 1/3 of 6 plums is 2 plums, and 2/9 of 6 plums is 2/3 plums, which leaves 1 plum remaining).

After giving 1 plum to her sister, Tara is left with 6 - 1 = 5 plums.

In summary, Tara kept 5/9 of her plums after giving 1/3 to her best friend and 2/9 to her sister.

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Answer:

With approximately a half-ounce of aluminum per can, or 32 cans per pound, that makes each one worth about 1.7 cents. Although there are some people making a living collecting cans in the streets, it isn't a good living.

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The width of the rectangular rug is 13 feet and the length of the rectangular rug is 26 feet.

Area of a rectangle formula: A = L * W. A

rectangle's length and width are multiplied to produce its area.

A is the area, L is the length, and W is the width or girth, where

A = L * W.

The corresponding sides of the rectangular rug and the rectangular floor must be proportional if they are alike.

Let's use "x" to represent the rug's width. The floor measures 32 feet in length and 26 feet in width, and the length of the rug is 16 feet according to the details provided. Since the rug and the surface are comparable, we can establish the following ratio:

Rug width/floor width = rug length/floor length

x / 26 = rug's length / 32

We can cross-multiply and then solve for "x" to find the answer:

32x = 26 * Rug's length

x =  (26 * Rug Length) / 32

\(= \frac{26 * 16}{32} \\= \frac{26}{2} \\= 13\)

Therefore x ( the width of the rug) is = 13 feet.

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Complete question:

The rectangular rug is similar to the rectangular floor. If the floor of the room measures 32 feet in length and 26 feet in width, and the length of the rug is 16 feet, what is the width of the rug?