Area of composite figures worksheet. How do you solve it. Step-By-Step​

the probability that Becky’s proportion of poses held for over a minute is greater than Carla’s is 0.5 or 50%.Answer: 0.5.

1. Sample Proportion:P(B > C) = P(B - C > 0)We know that μB - μC = 0 (Assuming the two population proportions are equal)

Therefore, P(B > C) = P(B - C > 0) = P(Z > 0) = 0.5

Where Z is the standard normal random variable.2. Sample Standard Deviation: Using the formula for the standard deviation of the difference between two sample proportions,

we get;\(B - C =\sqrt{(PB * (1 - PB) / nB) + (PC * (1 - PC) / nC)}\)

Where, PB and PC are the sample proportions, and nB and nC are the sample sizes.

Let's find the sample proportions and the sample standard deviation;B = 0.29 (Sample proportion of Becky)C = 0.35 (Sample proportion of Carla)nB = nC = 50 (Sample sizes)\(B - C = \sqrt{{(0.29 * (1 - 0.29) / 50) + (0.35 * (1 - 0.35) / 50)}B - C = 0.097\)

Using the z-table, we can find the probability that Z > 0 as 0.5.

Therefore, the probability that Becky’s proportion of poses held for over a minute is greater than Carla’s is 0.5 or 50%.

Answer: 0.5.

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Answer:

Jamie will pay back a total of 370.79

Step-by-step explanation:

361.75 x 1.025

Simple interest is not compounded so just multiply the borrowed amount by

1 + .025

He pays 370.28125.

Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.

Given:

Jamie borrowed =  $361.75

Simple interest = 2.5%

As, Simple interest is not compounded.

so,

361.75 x 1.025

=370.28125

Hence, he pays 370.28125.

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The correlation coefficient for the data is given as follows:

r = 0.53.

Hence there is an association between the variables that is positive and not strong.

The correlation coefficient is an index between -1 and 1 that measures the relationship between two variables, as follows:

The correlation coefficient is obtained inserting the points of a data-set into a correlation coefficient calculator.

From the table given at the end of the answer, the points are given as follows:

(43, 99), (21,65), (25, 79), (42, 75), (57, 87), (59, 81).

Inserting these points into a calculator, the equation is given as follows:

r = 0.53.

Meaning that the relationship between the variables is positive and not strong.

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Answer:

Step-by-step explanation:

Perimeter of the shape comprises of circumference of semicircle and diameter.

Correct choice is B

The angle m∠JIX is 90 degrees.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.

IG bisect CIJ. Hence,

m∠CIG ≅ m∠GIJ

Therefore,

m∠CIX = 150 degrees

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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The measure of angle m∠JIX is  estimated to be 90⁰.

You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.

Frim the given parameters,

IG⊥CIJ.

But;  m∠CIG ≅ m∠GIJ

⇒ m∠CIX = 150⁰

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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The lengths equal to 3 yards 16 inches are 3 yards, 108 inches, 3.44 yards (approximately), and 108.44 inches (approximately).

To determine the lengths that are equal to 3 yards 16 inches, we need to convert the measurements into a consistent unit. Since both yards and inches are units of length, we can convert the inches into yards or the yards into inches to find the equivalent lengths.

1 yard is equal to 36 inches (since 1 yard = 3 feet and 1 foot = 12 inches).

Therefore, 3 yards is equal to 3 * 36 = 108 inches.

Now, we can compare 108 inches to 3 yards 16 inches.

108 inches is equal to 3 yards, so it matches the given length.

To convert 16 inches into yards, we divide it by 36 since 1 yard = 36 inches. 16 inches / 36 = 0.44 yards.

Therefore, 3 yards 16 inches is equivalent to:

3 yards

108 inches

3 yards 0.44 yards (or approximately 3.44 yards)

108 inches 0.44 yards (or approximately 108.44 inches)

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The standard form of the equation is,

⇒ y = - x² - 18x - 80

We have to given that;

Equation is,

⇒ y = - 1 (x + 9)² + 1

Now, We can change it into standard form as;

⇒ y = - 1 (x + 9)² + 1

⇒ y = - 1 (x² + 81 + 18x) + 1

⇒ y = - x² - 81 - 18x + 1

⇒ y = - x² - 18x - 80

Thus, The standard form of the equation is,

⇒ y = - x² - 18x - 80

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The unknown number, represented by the variable b, is 1/2, which satisfies the equation "Five more than the product of a number and 8 equals 9."

To solve the equation "Five more than the product of a number and 8 equals 9" using the variable b for the unknown number, we can express this statement as an equation:

8b + 5 = 9

To solve for b, we need to isolate the variable on one side of the equation. Let's simplify the equation step by step:

Subtract 5 from both sides to get rid of the constant term:

8b + 5 - 5 = 9 - 5

8b = 4

Divide both sides of the equation by 8 to solve for b:

8b/8 = 4/8

b = 1/2

Therefore, the solution to the equation is b = 1/2. This means that when we substitute b = 1/2 into the equation, the equation will hold true:

8(1/2) + 5 = 9

4 + 5 = 9

Both sides of the equation are equal, confirming that b = 1/2 is the solution.

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The unit rate of computers per day using the graph is that 12 computers are made per day.

The unit rate is how many units of quantity correspond to the single unit of another quantity. We say that when the denominator in rate is 1, it is called unit rate. Unit rates is said to be the amount of something in each unit or per unit.

To obtain the unit rate of computers sold per day using the graph, we need to obtain the slope of the graph, which is the change in y per change in x

So, it is given by:

\(\text{Slope} = \dfrac{\text{change in y}}{\text{change in x}}\)

\(\text{Slope} = \dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}\)

\(\text{y}_2 = 60 , \ \text{y}_1 = 36 , \ \text{x}_2 = 5, \ \text{x}_1 = 3.\)

\(\text{Slope} = \dfrac{(60 - 36)}{(5 - 3)} = \dfrac{24}{2} = 12\)

\(\bold{Slope = 12}\)

Unit rate = 12 computers per day.

The attachment of the graph is given below.

Therefore, the unit rate of computers per day is 12.

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Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

because yes

The statement indicates that when a set X is partitioned, each partition forms an  parity relation by grouping together  rudiments that are considered original within each subset, thereby creating distinct and non-overlapping subsets within the original setX.  

The statement" each partition P of X defines an  parity relation on X" means that when a set X is divided into non-overlapping subsets or partitions, each partition creates an  parity relation on the original set X.

An  parity relation is a relation that satisfies three  parcels reflexivity,  harmony, and transitivity.  In the  environment of partitions, when a set X is divided into subsets, each partition forms an  parity relation by grouping together  rudiments that partake a common characteristic or property.

Within each partition, the  rudiments are considered original or affiliated to each other, and they're distinct from  rudiments in other partitions.  The meaning of" each partition P of X" refers to every possible way of dividing the set X intonon-overlapping subsets.

It implies that different partitions may  live grounded on different criteria or conditions for grouping  rudiments.

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Answer:

y = 9

Step-by-step explanation:

given that y varies inversely as x then the equation relating them is

y = \(\frac{k}{x}\) ← k is the constant of variation

to find k use the condition y = 12 when x = 6

12 = \(\frac{k}{6}\) ← multiply both sides by 6 to clear the fraction

72 = k

y = \(\frac{72}{x}\) ← equation of variation

when x = 8 , then

y = \(\frac{72}{8}\) = 9

Answer:

13.5

Step-by-step explanation:

14 oranges in 21 hour translates to:

3/2 oranges per hour.

So, in 9 hours thor can peel 13.5 oranges.

The largest number of relief supplies that can be put in each box is 75 bottles and 8 cans of food respectively.

The factors of:

1350 = 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675 and 1350.

144 = 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144.

1350 bottles / 18

= 75 bottles per box

144 cans of food / 18

= 8 cans of food per box

So, there 18 boxes of items, each containing 75 bottles and 8 cans of food respectively.

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Answer:

3. 42

4. 38.7

Step-by-step explanation:

Answer:

5 is the correct answer

Step-by-step explanation:

20 divide by 100 because it is in percent and 20 miltiply by 100 and there is the sign of multiply (of) is also known as multiply soo 20\100 * 25 will be the answer 5

$841,500 is the maturity value.

Given in question,

MV = P(1+RT)

P = $750,000

R = 13.35%

  = 13.35/100

  = 0.1335

T= 11 months

 = 11/12 years

 = 0.917 years

Putting the value in equation,

MV = 750000(1+0.1335*0.917)

      = 750000(1+0.122)

      = 750000*1.122

      = 814500

Hence, Maturity Value is $814,500.

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Answer:

110°

Step-by-step explanation:

if we're looking for the bearing of C from A, the angle should be formed at A

then, starting from the north poles, move in a clockwise direction till you meet the line coming from C . then, sum up the angles involved.

which is = 45°+ 65° = 110°

therefore, the bearing of C from A is 110°

The class equation is if G is a nontrivial finite group whose order is a power of a prime p, is the centralizer of G, and is the centralizer of the element a. (1) Here, the sum runs over representatives of all conjugacy classes that have more than one element.

The commutativity degree, which indicates the likelihood that two members of a group will commute between themselves, is related to the class equation in group theory [3]. The definition is as follows: d ( G ) = | { ( a , b ) ∈ G 2 ∣ a · b = b · a } | | G | 2 .

In group theory, there is a connection between the class equation and the commutativity degree, which indicates the likelihood that two members of a group will commute between themselves [3]. The following is the definition: d ( G ) = | { ( a , b ) ∈ G 2 ∣ a · b = b · a } | | G | 2 .

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Step-by-step explanation: 4/5, 2/5

I hope this helps.

Answer:

π/6 and 5π/6

Step-by-step explanation:

Graphing the equation or using a unit circle, we can find these values out pretty easily

Answer:

Part A: It was an increase.

Part B:80%

Step-by-step explanation:

First, state the info of the problem

Cost Price(CP):$500,000

Selling Price(SP):$900,000

Part A Solution

The SP is higher than the CP so there is a price increase

$900,000>$500,000

Part B Solution

Find price change

Price change equals SP-CP

$900,000-$500,000 equal to $400,000

State CP percent so it will later help in finding percent of price change

CP percent:100%(basic percent for the original cost of item,CP percent is basically 100%)

Cross multiply by comparing amount with percent

So if $500,000 equals 100%

∴$400,000 equals ?(can be represented by variable "x")

Cross-multiplying, we get

$500,000x equals 100%×$400,000(dividing both sides by $500,000)

x equals (400/5)% which further equals 80%

∴The percent of change for the house price was 80%

To confirm

If there was a price increase(Profit),the SP equals CP plus P

SP equals 100% plus 80%:180% ∴SP equals 180%

If 100% equals $500,000

∴180% equals x which is $900,000 after cross-multiplying.

Hope all confusion is now cleared.

The solution to the division problem 2x³-4x²-3x-9/ x-3 is 2x² + 6x + 15

Synthetic division is a method of polynomial division used to divide a polynomial by a linear expression of the form x - a, where a is a constant. It is a shorthand way of performing long division for polynomials and is particularly useful when the divisor is of the form x - a, as it eliminates the need for writing out the full divisor in each step of the division process.

The advantage of synthetic division is that it is quicker and easier than long division, especially for dividing polynomials by linear expressions. It can also be used to evaluate a polynomial at a specific value of x, by setting the divisor to x - a and using the result in the final row of the synthetic division as the value of the polynomial at x = a.

We can use long division to solve this problem:

        2x² + 6x + 15

   ---------------------

x - 3 | 2x³ - 4x² - 3x - 9

       - (2x³ - 6x²)

       ---------------

              2x² - 3x

              - (2x² - 6x)

              ------------

                     3x - 9

                     - (3x - 9)

                     --------

                            0

So the solution to the division problem is:

2x² + 6x + 15

Therefore, the answer is (none of the above).

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Answer:

No... provided no other information or no graph is provided.

Step-by-step explanation:

You can find the x-coordinate of the vertex which can be calculated using the two given x-intercepts. Using the symmetry of the parabola, it would just mean the vertex should lay midway between the x's. So the x-coordinate of the vertex is (12+35)/2=47/2.

However, we do not have enough information about the relationship between x and y to find the y-coordinate of the vertex.

All we are given is y=a(x-12)(x-35) (where a is real number) since we know the relationship is quadratic, and the zeros are 12 & 35.

So we could have many possible y-coordinates for our vertex since we don't know the value of a in our equation and we can plug in our x-coordinate for our vertex to find them all.

y=a(47/2-12)(47/2-35)

I'm just going to put everything to right of a in calculator:

y=-529/4 ×a

So that's all the possible y-coordinates for the vertex.

Answer:10% rate:

Principal = p

Rate = 0.10

Interest = 0.10p

5% rate:

Principal = 15500 - p

Rate = 0.05

Interest = 0.05(15500 - p) = 775 - 0.05p

0.10p + (775 - 0.05p) = 1450

0.05p + 775 = 1450

0.05p = 675

p = 13500

10% rate:

Principal = p = $13,500

5% rate:

Principal = 15500 - p = 15500 - 13500 = $2000

Step-by-step explanation:

hope it helps

Answer:

The range of the (f+g)(x) is all real number or \(]-\infty,\infty[\)

Step-by-step explanation:

Let's difne the addition of two funtion as:

\((f+g)(x)=f(x)+g(x)\)

\((f+g)(x)=|x|+9-6\)

\((f+g)(x)=|x|+3\)

The range of the (f+g)(x) is all real number or \(]-\infty,\infty[\).

I hope it helps you!

Answer:

a

Step-by-step explanation:

The perimeter of PQRS would depend on the lengths of the tangent segments and the lengths of the intercepted arcs. Without specific measurements, we cannot determine the precise perimeter.

To determine the perimeter of quadrilateral PQRS, we need more information about the lengths of the sides or the relationship between the sides and angles. Without specific measurements or additional details, we cannot calculate the exact perimeter of the quadrilateral.

However, we can provide some general information.Since PQ¯ is tangent to circle R at point Q, it is perpendicular to the radius drawn from the center of the circle to point Q. Similarly, PS¯ is tangent to circle R at point S, so it is perpendicular to the radius drawn to point S.

The quadrilateral PQRS is formed by the tangents PQ¯ and PS¯ along with the two arcs intercepted by these tangents on the circle R.

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The minimum amount of plastic wrap needed to completely wrap 8 containers is  794. 4 in². Option D

The area of each circular end is:

A = πr²

A = 3.14 × (2.75)²

A = 23.68in²

The area of the rectangular side is:

A = h * circumference

circumference = 5.5in * π

circumference = 17.27in

Using the given height of 3 inches, we get:

A = 3in * 17.27

A = 51.81in²

Therefore, the total surface area of each container is:

A = 2 * 23.68 + 51.81

A = 98.17in²

To wrap 8 containers, we need to multiply the surface area of each container by 8:

Total surface area = 8 × 98.17

Total surface area = 794. 4 in²

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