44%
Bill needs to build a rectangular sheep pen.
The pen must have a perimeter of 24 m.
Every half metres of fencing cost him £1.20.
a) Work out the cost of fencing used to make
the sheep pen.
The length of the sheep pen is three times its width.
b) Find the length and width of the sheep pen.
Length
metres
Width
metres

Letss try using Pythagoras Theorem with

\(a+b+c=180\\21+28+c=180\\c=180-21-28\\c=131\)

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Answer:

Please attach a photo to this so I can better answer your question

Answer:

10:1

Step-by-step explanation:

Divide each number by two

Answer:

10:1, 10:7

Step-by-step explanation:

20:2, 20:14

You can count the 2 weeks as 2 or 14.

The probability of rolling either a 2 or an odd number is 1/12

A six-sided die has faces:

1, 2, 3, 4, 5 and 6

Probability of rolling a 2 is 1/6

The odd numbers are 1, 3 and 5

The probability of rolling an odd number is 3/6 = 1/2

The probability of rolling either a 2 or an odd number is:

(1/6)*(1/2) = 1/12

The cost of 13 markers is $326.17.

We have,

Let x be the cost of one marker.

3 markers cost $5.79.

We can set up a proportion:

3 markers / $5.79 = 1 marker / x

To determine the cost of 13 markers, we can use this proportion and solve for y, which represents the cost of 13 markers:

3 markers / $5.79 = 13 markers / y

Cross-multiplying

3 markers x y = $5.79 x 13 markers

Simplifying:

3y = $75.27

Dividing both sides by 3, we get:

y = $25.09

The equation that helps determine the cost of 13 markers is:

= 13 markers x $25.09 per marker

= $326.17

Thus,

The cost of 13 markers is $326.17.

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the best prediction possible for the number of times the spinner will land on yellow if it is spun 72 times is 12. This means that out of 72 spins,

how to solve probability

If the spinner has 12 equal parts and 2 of them are yellow, then the probability of the spinner landing on yellow is 2/12, or 1/6. This means that out of every 6 spins, we can expect the spinner to land on yellow once.

To find the best prediction for the number of times the spinner will land on yellow if it is spun 72 times, we can use the idea of expected value. The expected value of an event is the average value we would expect to see if the event were repeated many times.

In this case, the expected value of the number of times the spinner will land on yellow in 72 spins is simply the probability of landing on yellow multiplied by the number of spins:

Expected value = Probability of yellow x Number of spins

Expected value = (1/6) x 72

Expected value = 12

Therefore, the best prediction possible for the number of times the spinner will land on yellow if it is spun 72 times is 12. This means that out of 72 spins, we can expect the spinner to land on yellow approximately 12 times on average. However, it's important to remember that this is just a prediction based on probability, and the actual number of yellow spins may vary.

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The solution to the system of inequalities in interval notation is [-2, 1].

Based on the information provided in the image below, we have the following system of inequalities;

-12 < 3x - 6

-3 ≥ 3x - 6

By adding 6 to both sides of the equation (inequality), we have;

-12 < 3x - 6

-12 + 6 < 3x - 6 + 6

-6 < 3x

-2 < x

x > -2 (flip)

-3 ≥ 3x - 6

-3 + 6 ≥ 3x - 6 + 6

3 ≥ 3x

1 ≥ x

x ≤ 1

Therefore, the solution to the system of inequalities is given by:

-2 < x ≤ 1

In interval notation, we have [-2, 1].

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

kya karna hai isme

what we have to do in this

Answer:

To find 40% of a number, you can multiply the number by 0.4 or divide it by 2.5.

Using this method, we get:

40% of 100 is 40 (100 x 0.4 or 100 ÷ 2.5)

40% of 110 is 44 (110 x 0.4 or 110 ÷ 2.5)

40% of 140 is 56 (140 x 0.4 or 140 ÷ 2.5)

40% of 120 is 48 (120 x 0.4 or 120 ÷ 2.5)

Therefore, 40% of 100 is 40, 40% of 110 is 44, 40% of 140 is 56, and 40% of 120 is 48.

Answer:

2301

Step-by-step explanation:

Hope this helped

Answer:

150°

Step-by-step explanation:

Both the measure of <1 and <2 are 150°

Answer:

X ~ N(27, 4) ;

xbar ~ N(27, 0.1026) ;

0.5 ;

0.5

Step-by-step explanation:

Probability distribution of X : N(μ, σ²)

μ = 27 ; σ = 2

X ~ N(μ, σ²) = X ~ N(27, 2²) ;X ~ N(27, 4)

Distribution is approximately normal ; μ = xbar ; xbar = 27

(Standard Error)² = (σ/√n)²= (2/√39)² = 0.1026

xbar ~ N(μ, σ²) = xbar ~ N(27, 2²) ; xbar ~ N(27, 0.1026)

Probability that a randomly selected individual found a job in less than 27 weeks :

P(X < 27) :

Obtain the Zscore :

Z = (x - μ) / σ

Z = (27 - 27) / 2 = 0/2

Z = 0

P(Z < 0) = 0.5

D.) n = 36

P(X < 27) :

Obtain the Zscore :

Z = (x - μ) / σ/√n

Z = (27 - 27) / (2/√36) = 0/0.33333

Z = 0

P(Z < 0) = 0.5

if angle A is 108 degrees, angle B is 27 degrees then angle C is 45 degrees.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given that angle A is 108 degrees

Angle B is 27 degrees

We need to find angle C

By angle sum property we know that the sum of three angles is 180 degrees

108+27+x=180

135+x=180

Subtract 135 from both sides

x=180-135

x=45 degrees

Hence, if angle A is 108 degrees, angle B is 27 degrees then angle C is 45 degrees.

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In a triangle ABC, Find the angle C when angle A= 108° ,B=27° .

The rate of oscillation at t = 2 seconds is -0.31 cm/s

We know that the spring is oscillating according to the equation:

s(t) = 9*cos(t)  (t would be in "radians", not degrees, check that on your calculator)

The rate at which this oscillates is given by the derivate of the above equation, remember that the derivate of cos(t) is -sin(t), then we will get:

s'(t) = -9*sin(t)

The rate of oscillation at t= 2 seconds is:

s'(2) = -9*sin(2) = -0.31

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3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:

3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup

Since there are 1 cup in each term, we can rewrite it as:

3 cups + (1/2) cup

Now, we can express each term as a multiplication expression:

3 cups = 3 * 1 cup = 3

(1/2) cup = (1/2) * 1 cup = 1/2

Putting it all together, the multiplication expression is:

3 * 1 cup + (1/2) * 1 cup = 3 + 1/2

Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

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Our initial assumption that S is non-empty must be false. Therefore, for every x ε W, f(x) < x.

To prove the given statement, let's assume that (W, <) is a well-ordered set and f: WW is an increasing function. We need to show that f(x) < x for each x ε W.

Since (W, <) is a well-ordered set, every non-empty subset of W has a minimum element. Let's consider the set S = {x ∈ W | f(x) ≥ x}. Suppose S is non-empty.

By the well-ordered property of (W, <), S has a minimum element, let's call it a. Since a is the minimum element of S, it implies that for all x < a, f(x) < x, because if f(x) ≥ x for any x < a, then x would be an element of S smaller than a, contradicting the assumption that a is the minimum element of S.

Now, let's consider f(a). Since f is an increasing function, f(a) ≥ f(x) for all x < a. But we also know that f(x) < x for all x < a. Combining these two inequalities, we get f(a) < x for all x < a, which means f(a) is an element of S smaller than a, contradicting the assumption that a is the minimum element of S.

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The annualized return for the entire period is the closest to 10.5%.

To calculate the annualized return for the entire period, we need to consider the returns for each year and the return in the first quarter of Year 4. Since the returns are given for each period, we can use the geometric mean to calculate the annualized return.

The formula for calculating the geometric mean return is:

Geometric Mean Return = [(1 + R1) * (1 + R2) * (1 + R3) * (1 + R4)]^(1/n) - 1

Where R1, R2, R3, and R4 are the returns for each respective period, and n is the number of periods.

Given the returns:

Year 1 return: 5% or 0.05

Year 2 return: 12% or 0.12

Year 3 return: -6% or -0.06

First quarter of Year 4 return: 2% or 0.02

Using the formula, we can calculate the annualized return:

Annualized Return = [(1 + 0.05) * (1 + 0.12) * (1 - 0.06) * (1 + 0.02)]^(1/3) - 1

Annualized Return = (1.05 * 1.12 * 0.94 * 1.02)^(1/3) - 1

Annualized Return = 1.121485^(1/3) - 1

Annualized Return ≈ 0.105 or 10.5%

Therefore, the annualized return for the entire period is approximately 10.5%.

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There are 9444 men and 24555 females are present.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

Total students = 34000

For every 5 male students there are 13 female students.

So, the number men are

= 5/18 x 34000

= 9444

and, number of women

= 13/ 18 x 34000

= 24, 555.

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The question attached here is in other language whose translation is given below.

In a school for every 5 male students there are 13 female students. If the total number of students is 34,000, how many men and women are there?

The value of B1 shows a fall in demand as price rises by a unit. The point prediction is given as y = 306,560.8

The regression equation shows that y= 306,619-27.71.x

b1 = -27.71

The interpretation for b1 is that if the price of this good is increased by 1, then the demand for the good would fall by about 27.71.

The regression line equation is given as

y= 306,619-27.71.x

when x which is price is = 2.10

Then the value of y would be:

y = 306,619 - 27.71*2.10

y = 306,560.8

c. a 95% C1 for B1 is given as:

1.96 * 27.71.

= 54.31

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9514 1404 393

Answer:

  1 +x -x^2/2 +x^3/2 -5x^4/8+7x^5/8

Step-by-step explanation:

We can use the expansion formula shown in the attachment. Here, we have a=1, b=2x, so the expansion is ...

  \(\sqrt{1}+\dfrac{2x}{2\sqrt{1}}-\dfrac{(2x)^2}{8(1\sqrt{1})}+\dfrac{(2x)^3}{16(1\sqrt{1})}-\dfrac{5(2x)^4}{128(1\sqrt{1})}+\dfrac{7(2x)^5}{256(1\sqrt{1})}\\\\=\boxed{1+x-\dfrac{x^2}{2}+\dfrac{x^3}{2}-\dfrac{5x^4}{8}+\dfrac{7x^5}{8}}\)

Answer:

i think it's b4

Step-by-step explanation:

Answer:

Step-by-step explanation:

B 160 milliliters

1a) An equation that gives the width `y` of the book, if it has `x`-hundred pages printed on bond paper is; y = ¹/₂ + ¹/₄x

1b) Ledger paper has a thickness of 2/5 in. per `100` pages, the equation is; y = ¹/₂ + ²/₅x

2) The equation will be; y = ²/₃ +¹/₄x

1) We are told that the front cover and the back cover have a thickness of 1/4 inches and they also have a thickness of 1/4 inch. Thus;

The addition of both gives to the book thickness of;

1/4 + 1/4 = 1/2 inch, despite how many pages the book  has.

We are told that for every hundred pages, a thickness of 1/4 inch is added to the book, then the equation is:

y = ¹/₂ + ¹/₄x

where;

y is the width of the book in inches.

x is every hundred pages printed on bond paper.

1b) If ledger paper has a thickness of 2/5 in. per 100 pages, then the equation is now;

y = ¹/₂ + ²/₅x

2) If both front and back covers now, have a thickness of 1/3 inches instead of 1/4 inches each, then the equation will be;

y = 2(1/3) +¹/₄x

y = ²/₃ +¹/₄x

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Answer:

Never seen this before sorry can't help

Step-by-step explination:

Answer:

interest rate = 0.0400215403 or 4.00215403% or 4%

Step-by-step explanation:

formula

final amount =

initial amount times e^(interest rate times time)

6614 = 4998 times e^(interest rate times 7)

(6614 ÷ 4998) = e^(interest rate times 7)

1.32332933173 = e^(interest rate times 7)

ln means natual log

ln(1.32332933173) = ln(e^(interest rate times 7))

0.28015078214 = interest rate times 7

0.28015078214 ÷ 7 = interest rate

0.0400215403 = interest rate

utub dr ashley godbold

investopedia

Answer:

  14 4/9 km/h, about 14.4 km/h

Step-by-step explanation:

You want to know the average speed of a river cruise boat that travels upstream and downstream in one day if the boat's speed is 18 km/h and the current speed is 8 km/h.

When the boat travels the same distance upstream and back, its average speed is the harmonic mean of the speeds upstream and down. Those speeds are, respectively, the difference of the boat speed and current, and their sum.

  harmonic mean = n/(1/x1 +1/x2 +1/x3 +... +1/xn)

  average speed = 2/(1/(18-8) +1/(18+8)) = 2/(1/10 +1/26) = 2·10·26/(10 +26)

  average speed = 520/36 = 14 4/9 . . . . km/h

The average rate of speed of the cruise ship during the time it is moving is 14 4/9 km/h, about 14.4 km/h.

__

Additional comment

The average speed is the distance divided by the time. If the distance upstream is 'd', then the time upstream is d/(18 -8) = d/10. Similarly, the time downstream is d/26, and the total time is d(1/10 +1/26) = d(36/260).

Then the average speed over the distance 2d is ...

  2d/(d(36/260)) = 520/36 . . . . as above

<95141404393>

Answer:

250

Step-by-step explanation:

because 147 rounded is 150 14 is 10 and 85 is 90 these added together are 250

The relationship is that the sum of all the angles is 360 degrees.

Because they are angles around a point.

Therefore,

3x + 90 + 4x + 221 = 360

3x+4x+90+221=360

7x+311=360

7x=360-311=49

Hence

x = 49 / 7 =7

Angle RQS = 3x = 3(7) =21 degrees

Angle RQS = 21 degrees

Angle UQT = 4x = 4(7) = 28 degrees

Angle UQT = 28 degrees