4 Scale factors 2. Here are points A and B. Plot the points for each dilation described. A B В 5 a. C is the image of B using A as the origin and center of dilation and a scale factor of 2. E is the image of B using A as the origin and center of dilation and a scale factor of 6 b. А B В C. D is the image of A using B as the origin and center of dilation and a scale factor of 2. d. F is the image of using B as the origin and center of dilation and a scale factor of​

Answers

Answer 1

Answer:b

Step-by-step explanation!


Related Questions

please help me out will give brainliest

please help me out will give brainliest

Answers

Answer:

I think it would be 10 inches but I am not sure

plz help Find a pattern for the sequence. Use the pattern to show the next two terms. 20 17 14 11...

Answers

Answer:

8,5

Step-by-step explanation:

20,17,14,11,8,5,2,

Help a girl out! Plz hurry! Make sure to put answer as decimal!

Help a girl out! Plz hurry! Make sure to put answer as decimal!

Answers

Answer:

I know the type of math your doing

Step-by-step explanation:

just download connects its f0r khan academy it will help you on it I have it and it works good

Help me please help me thank you

Help me please help me thank you

Answers

Answer: 110, 35, 70, G, J, F, E, B, A, H, C, D, I

Step-by-step explanation:

8. For number 8, you will be using the exterior angle theorem. The exterior angle theorem states that the exterior angle equals the two angles inside the given triangle. Since we have 50 and 60, you will add 50 + 60 to get 110.

9. In this problem, you shall use the vertical angle theorem. The vertical angle theorem is simply that any angles vertical from one another are congruent. So a will be also 35 degrees.

10. This is an image depicting two lines cut by a transversal, creating multiple congruent angles. With this, you will be using the alternate interior angle theorem. Alternate interior angles are angles on different sides of the transversal but inside both of the lines that were cut into, as shown above. So,  b will also equal 70 degrees.

Part B:

1. G

2. J

3. F

4. E

5. B

6. A

7. H

8. C

9. D

10. I

Dghgfty is my morning time for

A prism is 38 mm long. Its cross-section is a triangle with a base length of 19 mm and a perpendicular height of 26 mm. What is the volume of the prism? Give your answer in mm³​

Answers

The volume of the prism is 9386 mm³.

To find the volume of a prism, we multiply the cross-sectional area of the prism by its length. In this case, the cross-section of the prism is a triangle with a base length of 19 mm and a perpendicular height of 26 mm.

The formula for the area of a triangle is (1/2) * base * height. Let's calculate the cross-sectional area of the triangle:

Area of the triangle = (1/2) * base * height

= (1/2) * 19 mm * 26 mm

= 247 mm²

Now, we can calculate the volume of the prism by multiplying the cross-sectional area by the length of the prism:

Volume = cross-sectional area * length

= 247 mm² * 38 mm

= 9386 mm³

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Find the value of a. Then find the angle measures of the quadrilateral.
(22° 20°)
Sum of angle
measures: 360°
a =
and
The angle measures from least to greatest are...

Find the value of a. Then find the angle measures of the quadrilateral.(22 20)Sum of anglemeasures: 360a

Answers

Answer:

a = 60°

60°, 60°, 120°, and 120°.

Step-by-step explanation:

Sum of interior angles of a quadrilateral = 360°

Therefore:

a° + a° + 2a° + 2a° = 360°

Add like terms

6a = 360

Divide both sides by 6

a = 60

2a = 2(60) = 120°.

Angle measure from least to greatest are 60°, 60°, 120°, and 120°.

a bookshelf can hold a maximum of 45 books. let b represent the number of books to be shelved. which inequality represents how many books can be put the shelves? b>45

Answers

b < 45 represents the inequality of how many books can be put on the shelves.

An inequality is a mathematical statement that shows the relative size or ordering of two values. It is represented using symbols such as "<" (less than), ">" (greater than), "≤" (less than or equal to), "≥" (greater than or equal to), and "≠" (not equal to).

The inequality that represents how many books can be put on the shelves is:

b < 45

This inequality states that the number of books to be shelved, represented by b, must be less than 45 in order to fit on the bookshelf.

The inequality "b > 45" would represent a scenario in which the number of books to be shelved is greater than 45, which is not possible given the constraint that the bookshelf can hold a maximum of 45 books.

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Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
a.
10
d.
4 5
b. 4 5
I
s 100
10
4
8
--
8 10
415

00
I
C. 10 85
815
I
10
I
2/5
I
211
552
415
Mark this and return
Next
Submit

Answers

The ratio of corresponding sides for the given similar triangles is 2/5.

In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:

a. 10

This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.

b. 4/5

This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.

To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.

Dividing 4 and 5 by 1, we get:

4 ÷ 1 = 4

5 ÷ 1 = 5

Therefore, the simplified ratio is 4/5.

c. 10/85

This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.

Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.

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How can i show that angles are equal to each other using properties of equality?

Answers

To show that angles are equal to each other using properties of equality, you can apply the following properties: Reflexive Property, Symmetric Property, Transitive Property, Substitution Property.

1. Reflexive Property: An angle is equal to itself. For example, ∠ABC = ∠ABC.

2. Symmetric Property: If ∠ABC = ∠DEF, then ∠DEF = ∠ABC. The order of the angles can be switched without changing their equality.

3. Transitive Property: If ∠ABC = ∠DEF and ∠DEF = ∠XYZ, then ∠ABC = ∠XYZ. If two angles are equal to a common angle, then they are equal to each other.

4. Substitution Property: If ∠ABC = ∠DEF and ∠DEF = ∠XYZ, then ∠ABC = ∠XYZ. You can substitute equal angles into other equations or properties.

By using these properties, you can establish the equality of angles by showing the necessary relationships between them.

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6. what are the two most generic and widely used valuation multiples?

Answers

The two most generic and widely used valuation multiples in finance and investment analysis are the price-to-earnings (P/E) ratio and the enterprise value-to-earnings before interest, taxes, depreciation, and amortization (EV/EBITDA) multiple.

1. Price-to-Earnings (P/E) Ratio: The P/E ratio is calculated by dividing the market price per share of a company's stock by its earnings per share (EPS). It provides a measure of how much investors are willing to pay for each dollar of earnings generated by the company.

A high P/E ratio suggests that investors have high expectations for future growth and are willing to pay a premium for the stock. On the other hand, a low P/E ratio may indicate that the stock is undervalued or that investors have low expectations for future growth.

2. Enterprise Value-to-EBITDA (EV/EBITDA) Multiple: The EV/EBITDA multiple is calculated by dividing the enterprise value (EV) of a company by its earnings before interest, taxes, depreciation, and amortization (EBITDA).

The EV is the total market value of a company's equity and debt, minus its cash and cash equivalents. EBITDA represents the company's operating earnings before accounting for interest, taxes, depreciation, and amortization.

The EV/EBITDA multiple is commonly used in evaluating the valuation of companies, especially in the context of mergers and acquisitions. It provides a measure of a company's overall value relative to its earnings, without being affected by capital structure or tax considerations.

Both the P/E ratio and EV/EBITDA multiple are widely used because they are relatively easy to calculate and understand. However, it's important to note that these multiples have limitations and should be used in conjunction with other valuation methods and qualitative analysis to make informed investment decisions.

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the area of a triangle is 96 sq. inches. its altitude is 2 inches greater than five times its base. find the altitude.

Answers

If the area of a triangle is 96 sq. inches. its altitude is 2 inches greater than five times its base then the altitude is 32 inch

The area of a triangle is 96 sq. inches

Let base be b

Its altitude is 2 inches greater than five times its base.

a=5b+2

ab/2=A

(5b+2)b/2=96

(5b+2)b=192

5b²+2b=192

5b²2+2b-192=0

On solving the quadrartic equation,

we get

b=6

a=32

Therefore, if the area of a triangle is 96 sq. inches. its altitude is 2 inches greater than five times its base then the altitude is 32 inchs

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what is the first term if of an arithmetic sequence if the 23rd term is -17 and the common difference is -2?

Answers

The first term of the arithmetic sequence is -17 - 2(n-23)

An arithmetic sequence is a sequence of numbers in which each term is obtained by adding a fixed number (called the common difference) to the previous term. The first term of an arithmetic sequence is often denoted by "a1".

To find the first term of an arithmetic sequence given the 23rd term and the common difference, you can use the formula:

a1 = a23 + (n-23)d

where "a23" is the 23rd term, "n" is the number of terms in the sequence, and "d" is the common difference.

In this case, given that the 23rd term is -17 and the common difference is -2, you can plug these values into the formula to find the first term:

a1 = (-17) + (n-23)(-2)

Solving this equation for "a1" gives:

a1 = -17 - 2(n-23)

Therefore, the first term of the arithmetic sequence is -17 - 2(n-23). The value of "n" depends on the number of terms in the sequence, and the value of the first term will change accordingly.

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If p = 2 and q = 8, the value of p3 + V64 q ls____​

Answers

Answer:

518

Step-by-step explanation:

P = 2

Q = 8

p3 + 64q

Multiply "p" (which is 2) with 3

Multiply "q" (which is 8) with 8

Add the two numbers you get

And you have you answer

I hope this helps. :)

The answer I got was: {{ 2,8}}

Hope this helps, and happy holidays!!

Both 2 and x are polynomials. The product of 2 and x Response area a polynomial. The quotient of 2 and x Response area a polynomial. The quotient of x and 2 Response area a polynomial.

Answers

Yes, both 2 and x are polynomials. A polynomial is any expression that consists of variables, coefficients, and non-negative integer exponents.

What is variables?

A variable is a named storage location used to store a value that can be changed during the execution of a program. Variables are typically used to store values that are entered by a user or used to store the results of calculations or operations. Variables can be declared with different data types, such as strings, integers, or decimals, and can be given a name to be used when referring to the value stored in the variable.

That can be written in the form \(\mathrm a_nx^n + a_n-1x^n-1 + ... + a_2x^2 + a_1x + a_0\).

The product of 2 and x is also a polynomial because it is the result of multiplying two polynomials together. The product of 2 and x is 2x, and this can be written in polynomial form as 2x¹.

The quotient of 2 and x is also a polynomial, since a polynomial can also be written in fractional form. The quotient of 2 and x can be written as 2/x, which is a polynomial with coefficients of 2 and -1 and an exponent of 0.

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An urn holds 9 identical balls except that 1 is white, 3 are black, and 5 are red. An exp How many outcomes are in the sample space for this experiment? How many outcomes are in the event "no ball is

Answers

Answer c

Step-by-step explanation:

Point A is locatex at -6/8 and point B is licatrd at -1/8. What is the dustance between a and b

Answers

The distance between point a and point b is 6

Which of the following values is a solution for the inequality statement?
Select all that apply.
-5 ≤ -4r + 3

A.7
B. 4
C. -5
D. 0
E. 3

Answers

Answer: C and D
(the solution is r is less than or equal to 2)

Answer:

-5 and 0

Step-by-step explanation:

list and describe two specialized alternatives not often used as a continuity strategy. quizlet

Answers



1. P-adic Numbers:

P-adic numbers are a specialized alternative not commonly used as a continuity strategy in mathematics. They are an extension of the real numbers that provide a different way of measuring and analyzing numbers. P-adic numbers are based on a different concept of distance, known as the p-adic metric. This metric assigns a measure of closeness or distance between numbers based on their divisibility by a prime number, p. P-adic numbers have unique properties and can be useful in number theory, algebraic geometry, and other branches of mathematics. However, they are not typically employed as a continuity strategy in practical applications.

2. Nonstandard Analysis:

Nonstandard analysis is a mathematical framework that provides an alternative approach to calculus and analysis. It introduces new types of numbers called "infinitesimals" and "infinite numbers" that lie between the standard real numbers but are infinitely smaller or larger than any real number. Nonstandard analysis allows for more rigorous treatment of infinitesimal quantities and provides a different perspective on limits, continuity, and differentiation. While nonstandard analysis has theoretical implications and can provide valuable insights in mathematical research, it is not commonly used as a continuity strategy in practical applications where standard analysis and calculus are more prevalent.

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5. What is x in the diagram?

5. What is x in the diagram?

Answers

Answer:

B

Step-by-step explanation:

we rule out all other 3 by the simple fact that the side is 9

the answer is B hope this helps

—330 + 450 need help !!!!!!!

Answers

120
hope that helps

Answer:

120

Step-by-step explanation:

use a calculator (if you have one )

Which expression is equivalent to the expression (1 + 4x) + 2x

Answers

Answer:

6x + 1

Step-by-step explanation:

Add up like terms

4x + 2x + 1
= 6x + 1

Use the simplex algorithm to find the optimal solution to the following LP (solve manually): maxz= 36x1+30x2−3x3−4x4
s.t. x1+x2−x3≤5
6x1+5x2−x4≤10
∀xi≥0

Answers

The maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.

maximize: z = c1x1 + c2x2 + ... + cnxn

subject to

a11x1 + a12x2 + ... + a1nxn ≤ b1

a21x1 + a22x2 + ... + a2nxn ≤ b2

am1x1 + am2x2 + ... + amnxn ≤ bmxi ≥ 0 for all i

In our case,

the given LP is:maximize: z = 36x1 + 30x2 - 3x3 - 4x

subject to:

x1 + x2 - x3 ≤ 5

6x1 + 5x2 - x4 ≤ 10

xi ≥ 0 for all i

We can rewrite the constraints as follows:

x1 + x2 - x3 + x5 = 5  (adding slack variable x5)

6x1 + 5x2 - x4 + x6 = 10  (adding slack variable x6)

Now, we introduce the non-negative variables x7, x8, x9, and x10 for the four decision variables:

x1 = x7

x2 = x8

x3 = x9

x4 = x10

The objective function becomes:

z = 36x7 + 30x8 - 3x9 - 4x10

Now we have the problem in standard form as:

maximize: z = 36x7 + 30x8 - 3x9 - 4x10

subject to:

x7 + x8 - x9 + x5 = 5

6x7 + 5x8 - x10 + x6 = 10

xi ≥ 0 for all i

To apply the simplex algorithm, we initialize the simplex tableau as follows:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

---------------------------------------------------------------------------

z |  0    |   0    |   0    |  36    |   30   |   -3   |   -4   |    0    |

---------------------------------------------------------------------------

x5|   0   |   1    |   0    |   1    |   1    |   -1   |   0    |    5    |

---------------------------------------------------------------------------

x6|   0   |   0    |   1    |   6    |   5    |   0    |   -1   |   10    |

---------------------------------------------------------------------------

Now, we can proceed with the simplex algorithm to find the optimal solution. I'll perform the iterations step by step:

Iteration 1:

1. Choose the most negative coefficient in the 'z' row, which is -4.

2. Choose the pivot column as 'x10' (corresponding to the most negative coefficient).

3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.

Ratios: 5/0 = undefined, 10/(-4) = -2.5

4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.

5. Perform row operations to

make all other elements in the pivot column zero.

After performing these steps, we get the updated simplex tableau:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

---------------------------------------------------------------------------

z |  0    |   0    |  0.4   |  36    |   30   |   -3   |   0    |   12    |

---------------------------------------------------------------------------

x5|   0   |   1    |  -0.2  |   1    |   1    |   -1   |   0    |   5     |

---------------------------------------------------------------------------

x10|   0  |   0    |   0.2  |   1.2  |   1   |   0    |   1    |   2.5   |

---------------------------------------------------------------------------

Iteration 2:

1. Choose the most negative coefficient in the 'z' row, which is -3.

2. Choose the pivot column as 'x9' (corresponding to the most negative coefficient).

3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.

Ratios: 12/(-3) = -4, 5/(-0.2) = -25, 2.5/0.2 = 12.5

4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.

5. Perform row operations to make all other elements in the pivot column zero.

After performing these steps, we get the updated simplex tableau:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

---------------------------------------------------------------------------

z |  0    |   0    |  0.8   |  34    |   30   |   0    |   4    |   0     |

---------------------------------------------------------------------------

x5|   0   |   1    |  -0.4  |   0.6  |   1    |   5   |   -2   |   10    |

---------------------------------------------------------------------------

x9|   0   |   0    |   1    |   6    |   5    |   0   |   -5   |   12.5  |

---------------------------------------------------------------------------

Iteration 3:

No negative coefficients in the 'z' row, so the optimal solution has been reached.The optimal solution is:

z = 0

x1 = x7 = 0

x2 = x8 = 10

x3 = x9 = 0

x4 = x10 = 0

x5 = 10

x6 = 0

Therefore, the maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.

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4.4 a coin is biased such that a head is three times as likely to occur as a tail. find the expected number of tails when this coin is tossed twice.

Answers

To find the expected number of tails when the coin is tossed twice, we need to use the formula for expected value:
E(X) = ∑xp(x)

Where x is the possible outcome and p(x) is the probability of that outcome occurring.
Since a head is three times as likely to occur as a tail, the probability of getting a tail is 1/4 and the probability of getting a head is 3/4.
So, when the coin is tossed twice, there are four possible outcomes: two tails (TT), two heads (HH), one tail and one head (TH), and one head and one tail (HT).
The expected value of tails for each outcome is:
E(TT) = 2(1/4)(1/4) = 1/8
E(HH) = 0(3/4)(3/4) = 0
E(TH) = 1(1/4)(3/4) = 3/16
E(HT) = 1(3/4)(1/4) = 3/16
So the expected number of tails when the coin is tossed twice is:
E(X) = 1/8 + 0 + 3/16 + 3/16 = 7/16
Therefore, the expected number of tails when this coin is tossed twice is 7/16.

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11..

Solve the equation using the zero-product property.

-n(5n-4)=0


A. n= -1 or n= 4/5


B. n= 0 or n= -4/5


C. n= -1 or n= -4/5


D. n= 0 or n= 4/5

Answers

Answer:

D. n= 0 or n= 4/5

Step-by-step explanation:

Factor and set each factor equal to zero.

n

=

0

,

4

5

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

n

=

0

,

4

5

Decimal Form:

n

=

0

,

0.8

What are the steps to convert a number from standard notation to scientific notation? ​

Answers

Answer:

Consider a big number 3,400,000. To convert this number into scientific notation:

Place a decimal by counting the steps to the left until the coefficient of the number is between 1 and 9.

Count the number of steps moved. This will be the power of the base 10.

In this case, the coefficient is 3.4 and the 6 steps are moved.

Multiply the coefficient by 106,

Therefore, the answer is 3. 4 x 10 6

Step-by-step explanation:

I NEED HELP ASAP

FIRST TI ANSWER GET BRAINLEST

I NEED HELP ASAPFIRST TI ANSWER GET BRAINLEST

Answers

Answer:

4.

y = -1/6 * x - 7/3

Step-by-step explanation:

We can just check:

1.

y =  -1/6 * x

this doesn't work for x = -2 and y = -2 (first point) because we get

-2 = -1/6 * -2 = 1/3

this is nonsense

2.

y = -6x - 3/7

this doesn't work for x = -2 and y = -2 (first point) because we get

-2 = -6 * -2 - 3/7 = 12 - 3/7 = 11 + 4/7

this is nonsense

3.

y = -6x

this doesn't work for x = -2 and y = -2 (first point) because we get

-2 = -6 * -2 = 12

this is nonsense

4.

y = -1/6 * x - 7/3

this works for x = -2 and y = -2 because

-2 = -1/6 * -2 - 7/3 = 2/6 - 7/3 = 1/3 - 7/3 = -6/3 = -2

it also works for x = 4 and y = -3 because

-3 = -1/6 * 4 - 7/3 = -4/6 - 7/3 = -2/3 - 7/3 = -9/3 = -3

(yexy cos(2x) −2exy sin(2x) 2x) ( xexy cos(2x) −3) y? = 0

Answers

The answer of the given equation is , the solutions to the original equation are:

x = 0, y = 0

x = 0, y = 2

x = π/2, y = 0

x = any root of cos(2x) = 3/(2x), y = (1/3)x cos(2x).

What is Factor?

In mathematics, a factor is  number or expression that divide another number or expressions evenly, with no remainder.

So, we need to find the values of x and y that make each factor in the parentheses equal to zero.

First factor:

yexy cos(2x) −2exy sin(2x) + 2x = 0

We can factor out exy to get:

exy(y cos(2x) −2sin(2x)) + 2x = 0

We can set each factor equal to zero:

y cos(2x) −2sin(2x) = 0

2x = 0

For the first equation, we can use the identity sin(2x) = 2sin(x)cos(x) to get:

y cos(2x) −2sin(2x) = y(2sin(x)cos(x)) − 2(2sin(x)cos(x)) = 0

We can factor out 2sin(x)cos(x) to get:

(2sin(x)cos(x))(y - 2) = 0

So either 2sin(x)cos(x) = 0 (which occurs when x = 0 or x = π/2) or y - 2 = 0 (which occurs when y = 2).

For the second equation, we simply have:

2x = 0

which occurs when x = 0.

Second factor:

xexy cos(2x) −3y = 0

We can factor out exy to get:

exy(x cos(2x) −3y) = 0

So either exy = 0 (which occurs when x = 0 or y = 0) or x cos(2x) −3y = 0.

We can solve for y to get:

y = (1/3)x cos(2x)

So the solutions to the original equation are:

x = 0, y = 0

x = 0, y = 2

x = π/2, y = 0

x = any root of cos(2x) = 3/(2x), y = (1/3)x cos(2x)

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Some doctors believe that a person can lose five pounds, on average, in a month by reducing his or her fat intake and by consistently exercising. Suppose weight loss has a normal distribution. Let X = the amount of weight lost, in pounds, by a person in a month. Use a standard deviation of two pounds. X ~ N(5, 2). Fill in the blanks.
a. Suppose a person lost 10 pounds in a month. The z-score when x = 10 pounds is z = 2.5 (verify). This z-score tells you that x = 10 is ________ standard deviations to the ________ (right or left) of the mean _____ (What is the mean?).

Answers

Suppose a person lost 10 pounds in a month. This z-score tells you that x = 10 is 2.5  standard deviations to the right of the mean 5 pounds.

To verify that the z-score when x = 10 pounds is z = 2.5, we can use the formula:

z = (x - μ) / σ

where x is the value of the random variable, μ is the mean, and σ is the standard deviation.

Plugging in the given values, we have:

z = (10 - 5) / 2 = 2.5

This confirms that the z-score when x = 10 pounds is z = 2.5.

To determine what the z-score tells us about the location of x = 10 pounds relative to the mean, we can use the definition of a z-score:

z = (x - μ) / σ

Rearranging the formula, we have:

x = μ + zσ

So, when z = 2.5 and σ = 2, we have:

x = μ + 2.5(2) = μ + 5

This tells us that x = 10 pounds is 5 pounds above the mean. Since the z-score is positive, x = 10 pounds is to the right of the mean.

Therefore, the z-score tells us that x = 10 is 2.5 standard deviations to the right of the mean of 5 pounds.

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Find the measure of the missing angles.
d =
e
e=
fd
77°
O
31°
ƒ=
0

Find the measure of the missing angles.d =ee=fd77O31=0

Answers

The measure of the missing angles are d= 77° , e= 31° ,and f = 72°.

As given in the question,

Angle e is vertically opposite to the given angle 31°

⇒Measure of angle e = 31°

Angle d is vertically opposite to the given angle 77°

⇒Measure of angle d = 77°

Angle e , Angle f and angle d are linear pairs

⇒∠e +∠f +∠d =180°

⇒31° +∠f + 77°=180°

⇒ ∠f =180° -108°

⇒ ∠f =72°

Therefore, the measure of the missing angles are d = 77° , e = 31° and

f = 72°.

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When assessing skinfold thickness for 5 consecutive times, the investigator is getting responses very close to each other. This is a sign that the measurements are:

Answers

If an investigator is getting responses very close to each other when assessing skinfold thickness 5 consecutive times, it is a sign that the measurements are precise or reliable.

Measurements refer to the process of quantifying physical quantities or properties such as length, mass, time, temperature, and more. The aim of measurements is to obtain accurate and reliable data that can be used for various purposes, such as scientific research, industrial applications, engineering, and construction.

Measurement involves comparing an unknown quantity with a known standard or unit of measurement. For example, length can be measured using a ruler, mass can be measured using a scale, and time can be measured using a clock. The units of measurement used can vary depending on the system of measurement used, such as the metric system or the imperial system.

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