72 is what percent of 45​

Answer:

A

Step-by-step explanation:

The area of figure=Area of rectangle+Area of triangle

Area of figure=(x+2)(x-3)+1/2*(x)*(x+2)

Area of figure=x^2-x-6+0.5*x^2+x

Area of figure=(3/2)x^2-6

Answer:

A, M(x)=3/2 (x^2-6)

Step-by-step explanation:

Let's calculate the area of the figure 1st,

Area of figure=Area of triangle+Area of rectangle

                      =1/2 b*h + l*b = 1/2 (x+2)x + (x+2)(x-3)

                      =(x^2+2x)/2+x^2 - x - 6 =(x^2+2x+2x^2 - 2x -12)/2

                      =3x^2-12/2=3/2(x^2-6)

In the options,

M(x)=3/2 (x^2-6) is given, so it best represents the area.

The data is symmetric because some students have phones and some do not. The correct option is B.

A histogram is a simplified representation of the distribution of numerical data. The phrase was first used by Karl Pearson at the outset.

Rectangles are used in a histogram, a type of visual representation of statistical data, to show how frequently data points occur throughout a range of subsequent numerical intervals of equal width.

In the most common sort of histogram, the independent variable and dependent variable are shown along the horizontal axis and the vertical axis, respectively.

The histogram is a frequently used graphing tool. It is used to summarize data that is measured on an interval scale, whether it be continuous or discontinuous.

It is widely applied to give the primary properties of the data distribution a practical way to be illustrated.

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Answer: B. The data is symmetric because some students have phones and some do not.

Step-by-step explanation:

Answer:

i honestly dont know

Step-by-step explanation:

The most important details are that a club consisting of 11 men and 12 women needs to choose a committee with one more women than the number of men on the committee, and that the sum of prime numbers that divide N is 3 + 7 + 3 + 7 + 11 + 2 + 3 + 83 = 119. The sum of prime divisors of N is 3 + 7 + 3 + 7 + 11 + 2 + 3 + 83 = 119.

A club consisting of 11 men and 12 women needs to choose a committee from among its members so that the number of women on the committee is one more than the number of men on the committee. To find the sum of the prime numbers that divide N, the approach is as follows: Let k represent the number of men on the committee, then the number of committees with k men is given by: 12Ck  11C(k-1) + 12C(k+1)  11Ck + 12C(k+2)  11C(k+1) +  + 12C23  11C22. The sum of prime divisors of N is 3 + 7 + 3 + 7 + 11 + 2 + 3 + 83 = 119. The answer is 119.

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The given equation is equivalent to the system

\(\begin{cases}y = 17x-8\\y = 3x+16\end{cases}\)

The linear equations have different slopes (m = 17 and m = 3), so that means the two lines intersect at exactly one location. This one intersection point means there is exactly one solution to the system.

That means there is exactly one solution to the equation 17x-8 = 3x+16

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

That solution is....

17x-8 = 3x+16

17x-3x = 16+8

14x = 24

x = 24/14

x = 12/7

Using interquartile ranges.

Interquartile range (IQR) indicates the middle half range of the data set. You can use IQR to create "fences" around your data and define outliers as values outside those fences.

This method is useful when you have some values on either end of your dataset, but you are not sure whether any of them should be considered outliers.

Outliers are data that deviate too far from other data in a data set (outlier). The existence of these data outliers will make the analysis of a series of data biased, or not reflect the actual phenomenon. The term outliers is also often associated with extreme values, both large extremes and small extremes.

As an illustration, if there are four students, the first student has a monthly allowance of Rp. 500 thousand, second students Rp. 600 thousand, third student Rp. 700 thousand, and the fourth student because he is the son of a rich man (sultan), has a monthly allowance of up to Rp. 5 million. At a glance it appears that the value of 5 million is relatively far compared to the pocket money of the other three students.

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Step-by-step explanation:

Commutative law under addition says- p + q = q + p. Commutative law under multiplication says p x q = q x p. Note- Rational numbers, integers and whole numbers are commutative under addition and multiplication. Rational numbers, integers and whole numbers are non commutative under subtraction and division.

Answer:

Step-by-step explanation:

The second one

Answer:

  2. 26.2 m

  3. 117.2 cm

Step-by-step explanation:

You want the perimeters of two figures involving that are a composite of parts of circles and parts of rectangles.

The circumference of a circle is given by ...

  C = πd . . . . . where d is the diameter

The length of the semicircle of diameter 12.6 m will be ...

  1/2C = 1/2(π)(12.6 m) = 6.3π m ≈ 19.8 m

The two lighted sides of the rectangle have a total length of ...

  3.2 m + 3.2 m = 6.4 m

The length of the light string is the sum of these values:

  19.8 m + 6.4 m = 26.2 m

The length of the string of lights is about 26.2 meters.

The perimeter of the figure is the sum of four quarter-circles of radius 11.4 cm, and 4 straight edges of length 11.4 cm.

Four quarter-circles total one full circle in length, so we can use the formula for the circumference of a circle:

  C = 2πr

  C = 2π·(11.4 cm) = 22.8π cm ≈ 71.6 cm

The four straight sides total ...

  4 × 11.4 cm = 45.6 cm

The perimeter of the figure is the sum of the lengths of the curved sides and the straight sides:

  71.6 cm + 45.6 cm = 117.2 cm

The design has a perimeter of about 117.2 cm.

__

Additional comment

The bottom 12.6 m edge in the figure of problem 2 is part of the perimeter of the shape, but is not included in the length of the light string.

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Answer:

the answer would be 33 tons

Answer:

33 tons

Step-by-step explanation:

use your intuition and you can figure out that several yaks, which are like cows, would not weigh 33 ounces or pounds

Answer:

53 minutes

Step-by-step explanation:

Answer:

c on edge

Step-by-step explanation:

Data Encryption Standard (DES) is one of the most widely-used encryption algorithms in the world. The algorithm is symmetric-key encryption, meaning that the same key is used to encrypt and decrypt data.

The algorithm itself is comprised of 16 rounds of encryption.

The input of Round 2 is given as:

\("846623 20 2 \( 2889120 \)"\)

The input of S-Box of the same round is given as:

\("45 1266 C5 9855"\).

Now, the question requires us to find the required key for Round 2.

We can start by understanding the algorithm used in DES.

DES works by first performing an initial permutation (IP) on the plaintext.

The IP is just a rearrangement of the bits of the plaintext, and its purpose is to spread the bits around so that they can be more easily processed.

The IP is followed by 16 rounds of encryption.

Each round consists of four steps:

Expansion, Substitution, Permutation, and XOR with the Round Key.

Finally, after the 16th round, the ciphertext is passed through a final permutation (FP) to produce the final output.

Each round in DES uses a different 48-bit key.

These keys are derived from a 64-bit master key using a process called key schedule.

The key schedule generates 16 round keys, one for each round of encryption.

Therefore, to find the key for Round 2, we need to know the master key and the key schedule.

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Answer:

It converges

Step-by-step explanation:

dx/dy = x∧4 + 9x∧21

f(x) = ∫(x∧4 + 9x∧21)dy        0  > f(x) > ∞

= x∧5/5 + 9x∧22/22 + c  

    x = ∞ and x = 0

∴ c = 1 /5 +  9/22 = 27/22

Answer:

it is 2

Step-by-step explanation:

i think it is

Answer:

yes i do

Step-by-step explanation:

1/4 x 12= 3

12 divided by 4 = 3

The total number of seating arrangements George can make, if rotations and reflections of each seating arrangement are not considered different, is 72.

George is planning a dinner party for three other couples, his wife, and himself. He plans to seat the four couples around a circular table for, and wants each husband to be seated opposite his wife. Let us determine the number of seating arrangements he can make, considering the reflections and rotations of each seating arrangement not considered different. Each husband has two possibilities for a seat: one next to his wife or across from her. Since there are four couples, this is the same as placing two black and two white balls in a circle. There are 3! ways to arrange the black balls and 3! ways to arrange the white balls.

We must also account for the ways in which black and white balls may be interchanged. There are two possibilities: black balls may be placed together and white balls may be placed together. Using the permutation formula, we can find that there are:(3! × 3!) + (3 × 3!) = 72 total arrangements. This is because there are three ways in which black balls may be placed together, and there are three ways in which white balls may be placed together. Hence, there are 3! × 3! ways to arrange the couples when they are seated opposite each other.

And there are 3 × 3! ways to arrange them when they are seated next to each other.The total number of seating arrangements George can make, if rotations and reflections of each seating arrangement are not considered different, is 72.

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Answer: a11 + ( b11 + c11 ) = 0

Step-by-step explanation:

A, B, and C represent three matrices of the same size and (A + B) + C = 0.

There are 4 big fish for every 5 small fish.

The ratio of two numbers a and b is given by a divided by b and represented by a/b or a:b. While the proportion is the relation between two ratios of a/b and c/d is represented by a:b::c:d or a/b=c/d.

Given that, there are 8 big fish for every 10 small fish, we need to find how many are there for 4 big fish for every.

We will solve this by using proportion,

Let the number of small fishes be x

Therefore,

8 / 10 = 4 / x

x = 5

Hence, there are 5 small fish for every 4 big fishes.

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Answer: father:45

Daughter:17

Step-by-step explanation:

Present

Father (X+28)yrs

Daughter X yrs

After 6 years father will be (X+28)+6= 3x

28+6=3x-x

34=2x

X=17yrs=daughter

Father=28+17=45yrs

To determine if two shapes are similar, we need to consider two conditions: proportional corresponding sides and equal corresponding angles.

Proportional corresponding sides: For two shapes to be similar, the lengths of their corresponding sides must be proportional. This means that if we take the ratio of the length of one side of the first shape to the length of the corresponding side of the second shape, it should be equal to the ratio of any other pair of corresponding sides.

For example, if the ratio of the lengths of the corresponding sides AB: DE is equal to the ratio of the lengths of the corresponding sides BC: EF, then the shapes are similar.

Equal corresponding angles: In addition to proportional corresponding sides, the corresponding angles of the two shapes must also be equal. This means that if we measure the angles of one shape and their corresponding angles in the other shape, they should have the same measures.

For example, if angle A in the first shape is equal to angle D in the second shape, and angle B is equal to angle E, then the shapes are similar.

For two shapes to be similar, both the corresponding sides must be proportional and the corresponding angles must be equal.

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Answer:

83.3%

Step-by-step explanation:

5/6~=0.833

which is 83.3%

Answer:

Area: 7, because there are 7 squares.

Perimeter: 14.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

i think it D because I look up

13cm, 7cm 6cm it a lil close to Sorry if u wrong

The value of price (p) at a point of equilibrium is 13.4. Then the correct option is C.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The equation of the demand (D) and supply (S) is given below.

\(\rm D = -\dfrac{4}{3}p +22\\\\S \ = 3p -36\)

Where p is price.

At equilibrium, we have

D = S

Then

\(\begin{aligned} \dfrac{4}{3}p +22 &= 3p -36\\\\3p + \dfrac{4}{3} p &= 36 + 22\\\\\dfrac{13}{3}p &= 58\\\\p &= 13.38 \approx 13.4 \end{aligned}\)

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Answer:

Circumference = 75.4

Step-by-step explanation:

Since the circles are identical, that means that the radii must be equal.

4x=3x+3

x=3

That means that radius = 12

The formula for the circumference = 2pi × radius

2pi × 12 = 24pi ≈ 75.4

Answer:

75.4 (nearest tenth)

Step-by-step explanation:

The diameter of a circle is the distance from one side of the circle to the other through the center. The diameter is the widest part of the circle.

The radius of a circle is the distance from the center to the circumference.  The radius is half the diameter of a circle.

We have been given the radius of the circle on the left:  r = 4x.

Therefore, as the diameter is twice the radius, the diameter of the circle on the left is:  d = 2(4x) = 8x

We have been given the diameter of the circle on the right:  d = 6x + 6

Equate the two diameters and solve for x:

⇒ 8x = 6x + 6

⇒ 8x - 6x = 6x + 6 - 6x

⇒ 2x = 6

⇒ 2x ÷ 2 = 6 ÷ 2

⇒ x = 3

Substitute the found value of x into one of the diameter expressions to find the diameter of both circles:

⇒ d = 8x

⇒ d = 8(3)

⇒ d = 24

Circumference of a circle

C = πd

(where d is the diameter)

Substitute the found diameter into the circumference formula:

⇒ C = πd

⇒ C = 24π

⇒ C = 75.39822...

⇒ C = 75.4 (nearest tenth)

Therefore, the circumference of each circle is 75.4 units (nearest tenth).

Since a z-score of 0.96 is within two standard deviations of the mean, it is not considered unusual. Therefore, the answer is A. unusual.

To determine if this is unusual, we need to consider the normal distribution and the concept of standard deviation. In a standard normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations.

To calculate the z-score, we use the formula:
z = (x - μ) / σ
Where x is the individual's score, μ is the mean, and σ is the standard deviation.

To calculate the z-score, we'll use the formula:
z-score = (individual score - class mean) / standard deviation

In this case, the individual score is 77.14, the class mean is 73, and the standard deviation is 4.6.

Step 1: Subtract the class mean from the individual score.
77.14 - 73 = 4.14

Step 2: Divide the result by the standard deviation.
4.14 / 4.6 = 0.9
Plugging in the values we get:

z = (77.14 - 73) / 4.6
z = 0.9565 (rounded to 4 decimal places)

A z-score of 0.9565 indicates that the person's score is about 0.96 standard deviations above the mean.

Now, let's determine if this is unusual or not. In general, a z-score greater than 1.96 or less than -1.96 is considered unusual, as it represents a result that is outside the 95% confidence interval. Since our calculated z-score is 0.9000, it is within the 95% confidence interval.

Answer: The z-score is 0.9000, and it is A. Not Unusual.

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Answer:

There is no solution

Step-by-step explanation:

\(\frac{1}{4} x-13= \frac{1}{4} x + \frac{13}{4}\)

subrtact 1/4 X from each side

-13=13/4 is not true, so no solution

Answer:

A

Step-by-step explanation:

Here, we simply want to select the indices that is equivalent to the given expression

(8x^3)^2/3

That is same as;

8^2/3 * x ^3 * 2/3

That will be;

2^2 * x^2

= 4x^2