if a sample of 35 golfers is taken from a population of 72 golfers the sample mean, x, is the mean of how many golfers scores

Answer:

  (a)

Step-by-step explanation:

The "Given" information is the diagram showing the relationships between the various segments and angles. It shows you triangles LMP and NMP with ...

  ML ≅ MN

  ∠LMP ≅ ∠NMP

If Q is an orthogonal matrix with an eigenvalue λ1 = 1, then x, the eigenvector corresponding to λ1, is also an eigenvector of QT with an eigenvalue λ2 = λ1 * (QT * x).

To show that x is also an eigenvector of QT, we need to demonstrate that QT * x is a scalar multiple of x.

Given that Q is an orthogonal matrix, we know that QT * Q = I, where I is the identity matrix. This implies that Q * QT = I as well.

Let's denote x as the eigenvector corresponding to the eigenvalue λ1 This means that Q * x = λ1 * x.

Now, let's consider QT * x. We can multiply both sides of the equation Q * x = λ1 * x by QT:

QT * (Q * x) = QT * (λ1 * x)

Applying the associative property of matrix multiplication, we have:

(QT * Q) * x = λ1 * (QT * x)

Using the fact that Q * QT = I, we can simplify further:

I * x = λ1 * (QT * x)

Since I * x equals x, we have:

x = λ1 * (QT * x)

Now, notice that λ1 * (QT * x) is a scalar multiple of x, where the scalar is λ1. Therefore, we can rewrite the equation as:

x = λ2 * x

where λ2 = λ1 * (QT * x).

This shows that x is indeed an eigenvector of QT, with the eigenvalue λ2 = λ1 * (QT * x).

In conclusion, if Q is an orthogonal matrix with an eigenvalue λ1 = 1, then x, the eigenvector corresponding to λ1, is also an eigenvector of QT with an eigenvalue λ2 = λ1 * (QT * x).

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ANSWER:

64 square inches.

STEP-BY-STEP EXPLANATION:

The first thing is to calculate the ratio between the corresponding sides of the triangles:

We must bear in mind that the area of the larger t triangle is equal to the area of the small triangle multiplied by the ratio of the square, since the area is a quadratic unit, therefore:

The area of the larger triangle is 64 square inches.

The simplified value for the function at g(0) and g(2) are 2 and -20 respectively.

To simplify is to make something simpler. Simplifying an equation, fraction, or issue in mathematics entails taking something complex and making it simpler. The issue is made simpler by calculations and problem-solving strategies. We can simplify fractions by removing all common elements from the numerator and denominator and putting the fraction in its simplest/lowest form.

Given a function g(x) = -4x² - 3x + 2

to find the values of g(0)

and g(2)

for g(0)

substitute x = 0 in the equation,

g(x) = -4x² - 3x + 2

g(0) = -4(0)² - 3(0) + 2

g(0) = 2

for g(2), substitute x = 2 in the equation,

g(x) = -4x² - 3x + 2

g(2) = -4(2)² -3(2) + 2

g(2) = -4(4) - 6 + 2

g(2) = -16 - 6 +2

g(2) = -20

Hence the values for g(0) is 2 and for g(2) is -20.

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The correct definition of an angle is D: A shape formed by two intersecting lines from a common point.

A line segment is extended infinitely in both directions whereas a 'ray' is a line segment that has one endpoint and extends infinitely in the other direction.

Now, an 'angle' is formed by two rays having a common end-point.

As the angle has a common endpoint,

Therefore it is not possible to form an angle by intersecting two rays having different endpoints.

Hence, option D is correct.

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Answer:

Please give brainliest

Step-by-step explanation:

c

Answer:

(4) 29, 33, 37

(6) 53, 59, 65

(5) -16, -20, -24

Step-by-step explanation:

Answer:

18 or A

Step-by-step explanation:

a+ai (a-ai)

Question 2 Part 1 Answer: The answer is 3x = y.

Question 2 Part 1 Step-by-step explanation: When you see 2 as \(x\) and 6 as \(y\), divide \(y\) by \(x\) and you basically get 3. Do the same thing with 4 as \(x\) and 12 as \(y\).

Question 2 Part 2 Answer: The answer is \(33.\stackrel{-}{3} \%\).

Question 2 Part 2 Step-by-step explanation: Basically, anything divided by three gets a percentage of \(33.\stackrel{-}{3} \%\).

Question 2 Part 3 Answer: The answer is 270.

Question 2 Part 3 Step-by-step explanation: You can use proportions to solve this problem or do it by typing the first entry on a graphing calculator (x-intercept is your answer):

\(\frac{6}{18}=\frac{90}{x}\\\\\frac{6}{18}=\frac{90}{270}\)

Done!

Answer:

32

Step-by-step explanation:

3+3+3+4+4+8+8+9=32

Answer:

60 m²

Step-by-step explanation:

In three parts:

1st:

8 × 3 = 24

2nd:

4 × 3 = 12

3rd:

8 × 3 = 24

So: 24 + 12 + 24 = 60

Answer:

Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

Answer:

12.5 minutes

Step-by-step explanation:

Given that,

Fernando can run 600 meters  in 5 minutes.

We need to find how many minutes would it take him to run 1500 meters.

ATQ,

600 m = 5 min

1 m = (5/600) min

For 1500 m,

\(t=\dfrac{5}{600}\times 1500\\\\t=12.5\ min\)

So, it will take 12.5 minutes to run 1500 m.

Answer:

25/9

Step-by-step explanation:

3 1/3 ÷ 1 1/5

3 1/3 = 10/3

1 1/5 = 6/5

10/3 ÷ 6/5 = 10/3 x 5/6 = 50/18 = 25/9

So, the answer is 25/9

Answer:

Step-by-step explanation:

40/30=409

Using an online finance calculator, the yield to maturity (YTM) of the Ashburn Company's bond at a coupon rate of 8.9 percent paying semiannual interest and selling at 113% of par value is 7.45%.

The Yield to maturity (YTM) is the total return, expressed as an annual rate, anticipated by a bondholder on a bond if it is held until its maturity date.

The maturity date refers to the date when the principal of a fixed investment is repaid at the maturity value.

The yield to maturity can also be computed using the following formula:

YTM = [(Face value/Bond price)1/Time period]-1.

Face (par) value = $100

Bond current price = $113 ($100 x 113%)

Annual coupon rate = 8.9%

Coupon frequency = Semi-annually

Years to maturity = 15 years

Result:

Yield to maturity (YTM) = 7.45%

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Answer:

the answer is C.because it is a suitable combination for the question

Considering the closure under property the polynomials f(x) = a 0 + a 1 x + a 2 x^ 2 ... + a n x^ n; and g(x) = b 0 + b 1 x + b 2 x^ 2 ... + b m x^ m

In mathematics, a set is considered closed if we are able to apply and complete an operation on its components while consistently receiving a component from the same set.

A set therefore either possesses closure for a given mathematical operation or it does not.

Use of real numbers is the closure property of addition. Addition of two real numbers results in areal number

In the given problem, the set considered is polynomial addition and the addition of the two polynomial will give a sum which is a polynomial hence we say it is closed under addition.

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Let x represent the number of Supra balls that were ordered

Let y represent the number of Lightning balls that were ordered

Supra balls cost $2.00

This means that the cost of x Supra balls is 2 * x = 2x

Lightning balls cost .90 each

This means that the cost of y Lightening balls is 0.9 * y = 0.9y

The total cost of the Supra balls exceeded the total cost of the Lightening balls by $132. This means that

2x - 0.9y = 132

If an equal number of each brand was ordered, it means that

x = y

2x - 0.9x = 132

1.1x = 132

x = 132/1.1

x = 120

This means that 120 of each balls were ordered. Recall, 1 dozen = 12 balls

120 balls = 120/12 = 10

Thus, 10 dozens of each brand were ordered.

Answer:

  (b)  22 in

Step-by-step explanation:

You want the perimeter of a rectangle with side lengths 4 inches and 7 inches.

The perimeter of a rectangle is the sum of the lengths of its sides. Your rectangle has two sides that are 4 inches, and two sides that are 7 inches. The perimeter is the sum of these lengths:

  P = 4 in + 4 in + 7 in + 7 in

  P = 22 in

The perimeter of the rectangle is 22 inches.

__

Additional comment

We can save a math operation by recognizing the sum can be arranged to ...

  P = (4 in +7 in) +(4 in +7 in) = 2(4 in +7 in)

This is evaluated using one sum and one product, rather than the three sums we need if we simply add the lengths of the four sides.

This is why the usual formula for the perimeter of a rectangle is ...

  P = 2(L +W)

Answer:

\(y=\frac{-x(x+1)}{x+1} +5\)

Step-by-step explanation:

This function has a slope of -1, a hole at x = -1, and a y-intercept of 5

Answer:

Step-by-step explanation:

The answer is (C)

<AEB is congruent to <BEC

Answer:

-6 I meant

Step-by-step explanation:

Answer:

9.26 per quart

Step-by-step explanation:

A 3-gallon bucket of paint costs $111.12.

  Find the price of per quart.

3 gallons equal 12 quarts. We divide 111.12 for 12 quarts by 12:

111.12 / 12 = 9.26

The next step in the series will be Option B

A series is the sequence of object in pattern.

From the given figure it can be seen that the red and blue colour semicircle are shifting alternately , and the number series is increasing by 1

Therefore the next step is red on the right side , blue on the left side and no. 4 written on blue

Therefore Option B is the right answer.

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Answer:

Step-by-step explanation:

At the beginning there is not sugar in the tank

The value of x in the solution to this system of equations is,

⇒ x = - 8

We have to given that;

A system of linear equations is shown are,

x - 3y = 7   ... (i)

x - 2y = 2  ... (ii)

Now, We can simplify as;

From (i);

x = 7 + 3y

Put in (ii);

7 + 3y - 2y = 2

7 + y = 2

y = - 7 + 2

y = - 5

Hence, From (i);

x - 3 x - 5 = 7

x + 15 = 7

x = - 15 + 7

x = - 8

Thus, The value of x in the solution to this system of equations is,

⇒ x = - 8

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Answer:

B.

Step-by-step explanation:

the distance for every segment is half of the previous one.

so, when we get to E we have divided the whole distance AB 3 times by 2. that means by 2³ = 8.

so, the distance EB = AB/8.

and that means that also the coordinate differences are divided by 8.

AB coordinate differences = (|-10 - 8|, |14 - -2|) =

= (18, 16)

therefore the EB coordinate differences are

(18/8, 16/8) = (2.25, 2)

E is to the left and above B, so we need to subtract the x difference and add the y difference :

E = B + (-2.25, 2) = (8-2.25, -2+2) = (5.75, 0)

The length shortest side of the quadrilateral is 5 inches

The length longest side of the quadrilateral is 10 inches;

The length of the other two sides of the quadrilateral will be 7 inches.

What is the perimeter of a quadrilateral?

The length of a quadrilateral's boundary, or what remains after joining all four of its sides to form a single line segment, is referred to as the quadrilateral's perimeter. As a result, a quadrilateral's perimeter is measured in the same linear units as its sides, such as meters, inches, centimeters, etc. We are aware that a quadrilateral's perimeter can be calculated by summing all of its side lengths. This can be stated using a straightforward formula. For instance, the formula for a quadrilateral ABCD's perimeter can be written as,

AB + BC + CD + DA = The perimeter

Let the length shortest side of the quadrilateral be x;

So, According to the question,

length longest side of the quadrilateral will be: 2x;

length of the other two sides of the quadrilateral will be (x +2) inches.

We have given that:

The perimeter of the quadrilateral is 29 inches.

So,

⇒ 2x + (x+2) +(x+2)+x = 29

⇒5x + 4 = 29

⇒5x = 29-4

⇒5x = 25

⇒x =5;

Hence,

the length shortest side of the quadrilateral is 5 inches

length longest side of the quadrilateral is 10 inches;

length of the other two sides of the quadrilateral will be 7 inches.

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1. The percentage of maize flour is given as 16.7 %

2. The common ratio of the GP is r = 1.5.

1. We have to set up equation

60x + 90(1 - x) = 85

60x + 90 - 90x = 85

now we have to solve for the value of x

-30x = -5

x = 5 / 30

x = 0.167

Hence percentage of maize flour is given as 16.7 %

2. a + ar = 20 (1)

ar + ar^2 = 30 (2)

We can rearrange equation (1) to get an expression for a:

a = 20 / (1 + r)

Now, we can substitute a into equation (2) to get an equation only in terms of r:

\(20r / (1 + r) + 20r^2 / (1 + r) = 30\\20r + 20r^2 = 30(1 + r)\\20r + 20r^2 = 30 + 30r\\20r^2 - 10r - 30 = 0\\2r^2 - r - 3 = 0\)

Solving this quadratic equation, we get:

We have two solutions, r = 1.5 and r = -1. But since the GP is increasing, we discard the negative solution. Therefore, the common ratio of the GP is r = 1.5.

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