what shape best describes the cross cut section perpendicular to the base of the rectangluar prism

Answer: 15 - 6i

Step-by-step explanation:

3(5-2i)

3×5+3×(−2i)

Do the multiplications.

15−6i

This situation should be analyzed using a two-sample independent method. The two-sample independent method is used when comparing two independent groups, in this case, taxi ride times in San Diego and Phoenix. The two-sample paired method is used when comparing the same group under two different conditions, which is not the case here, as the taxi ride times are taken from two separate cities. There is no common characteristic that makes these data paired.

A two-sample independent method is used to compare the means of two independent populations, which is appropriate for this situation. The independent samples t-test is a common statistical test used to compare the means of two independent populations.On the other hand, if the data were obtained from the same set of taxis in both cities or from the same set of riders in both cities, then the situation would be a paired situation, and a two-sample paired method would be more appropriate.Paired data refers to data that is collected from the same sample, subject, or group at different points in time or under different conditions. For example, if the data were obtained from the same set of taxis in both cities, then the data would be paired because each taxi in San Diego would have a corresponding taxi in Phoenix. Similarly, if the data were obtained from the same set of riders in both cities, then the data would be paired because each rider in San Diego would have a corresponding rider in Phoenix.In summary, since the data in this situation were obtained from two different cities, a two-sample independent method is appropriate. If the data were obtained from the same set of taxis or riders in both cities, a two-sample paired method would be appropriate.

Learn More About two-sample independent method : https://brainly.com/question/24303205

#SPJ11

There are 55 adults and 27 younglings attended the club.

let the number of adults attended the club be x

let the number of younglings  attended the club be y

total people attended the club = 82

so,

x + y = 82.....[1]

cost for the adult = $6

cost for the younglings = $4

so total amount collected = $438

so, equation formed is ,

6x + 4y = 438.......[2]

from equation [1]

x + y = 82

x = 82 - y

put this in equation [2]

6(82 - y) + 4y = 438

492 - 6y + 4y = 438

492 - 2y = 438

492 - 438 = 2y

2y = 54

y = 27

put this value in equation [1]

x + y = 82

x + 27 = 82

x = 82 - 27

x = 55

so, there are 55 adults and 27 younglings attended the club.

Learn more about equation here :-

https://brainly.com/question/10413253

#SPJ4

Answer:

-193 is correct.

Answer:

No solution

Step-by-step explanation:

3(5x+7) = 30 + 15x

DISTRIBUTE

15x+21 = 30+15x

15x-15x = 0

So no solution

Answer:

Zero solutions

Step-by-step explanation:

3(5x + 7) = 30 + 15x,            Use the distributive property

15x + 21 = 30 + 15x,             The 15x from both sides cancel each other out

21 ≠ 30                                 No matter what value of x is, 21 will never equal 30

Answer:

-2

Step-by-step explanation:

down 4 over 2 meaning it's negative; simplify

Answer:

B

Step-by-step explanation:

AB=6 therefore Pto Q should be 6

6^2=36

8^2=64

add them together

=100

square root 100=10

divide by 2=5

There are two points that satisfy the system of equations:

(0.79, 0.37)

(-3.79, -12.37)

The system of equations is:

y = 3x - 3

y = -x^2

To determine which point from a specified set satisfies the system of equations, we need to find the values of x and y that satisfy both equations simultaneously.

Substituting y = 3x - 3 into the second equation, we get:

3x - 3 = -x^2

Rearranging this equation, we get:

x^2 + 3x - 3 = 0

Using the quadratic formula, we can solve for x:

x = (-3 ± sqrt(3^2 - 41(-3))) / (2*1) = (-3 ± sqrt(21)) / 2

Therefore, there are two possible values of x that satisfy the system of equations:

x = (-3 + sqrt(21)) / 2 ≈ 0.79

x = (-3 - sqrt(21)) / 2 ≈ -3.79

To find the corresponding values of y, we can substitute these values of x into either equation. For example, if we use y = 3x - 3, we get:

y ≈ 0.37 (when x ≈ 0.79)

y ≈ -12.37 (when x ≈ -3.79)

Therefore, there are two points that satisfy the system of equations:

(0.79, 0.37)

(-3.79, -12.37)

To know more about Equations :

https://brainly.com/question/13865224

#SPJ11

The specific name of the quadrilateral is trapezoid

The measure of the missing angle is 55 degrees

To determine the measure of the angle, we need to know the following;

The properties of a trapezoid are listed as;

From the information given, we have that;

125 + x = 180

collect the like terms, we have;

x = 180 - 125

subtract the values, we get;

x = 55 degrees

Learn more about trapezoids at: https://brainly.com/question/1410008

#SPJ1

Answer:

the volume of the cylinder is 41x^3

Step-by-step explanation:

The computation of the volume of the cylinder is shown below:

As we know that

The Volume of the cylinder is

= base × height

= (4x)^2 + (5x)^2

=16x^2 + 25x^2

= 41x^3

Hence, the volume of the cylinder is 41x^3

Answer:

m = 3 , n = 4

Step-by-step explanation:

Using Section Formula.

\(If \ the \ line \ segment \ AB \ where \ A = (x _1, y_1) \ and \ B = (x_2, y_2) \ divided \ by \ P =(x , y) \ in \ the \ ratio \ a : b,\\\\Then \ the \ points \ of \ P \ \\\\x = \frac{ax_2 + bx_1}{a+b} \ and \ y = \frac{ay_2 + by_1}{a+b}\)

   \(Here (x_1 , y_ 1 ) = ( -7 , 1 ) \ and \ (x_ 2 , y _ 2 ) = (m , 6)\\\\ratio\ a:b = 3 : 2\\\\Therefore, P (x, y) \\\\x = \frac{3m + (2\times -7)}{5} \ \ \ \ \ \ \ \ \ \ \ [ \ x = -1 \ ] \\\\-1 = \frac{3m - 14}{5}\\\\- 5 = 3m - 14\\\\-5 + 14 = 3m\\\\9 = 3m \\\\m = 3\)

  \(y =\frac{3\times 6 + 2 \times 1}{5}\\\\n = \frac{18 + 2}{5} = \frac{20}{5} = 4\)

t = 180 - 66 - 57 = 57°

To determine how many gallons of water are being filled each minute, you will need some more information, such as the total gallons of water being filled and the total time it takes to fill it.

Once you have that information, you can use the following steps to find the answer:
1. Write down the total gallons of water (let's call it G) and the total time in minutes (let's call it M).
2. Divide the total gallons of water (G) by the total time in minutes (M) to find the gallons filled per minute.
For example, if you are filling a pool with 120 gallons of water and it takes 20 minutes to fill it completely, the calculation would be:
Gallons per minute = 120 gallons / 20 minutes = 6 gallons per minute
So, in this example, 6 gallons of water are being filled each minute.

Visit here to learn more about gallons of water:

brainly.com/question/29196597

#SPJ11

Answer:

C

180(.6) because 40% off is 0.4 and what is left over is 60% or 0.6. When you multiply this you get 108. 5% sales tax is a 5% increase, so multiple 108(1.05) and you get $113.40.

Answer:

eric

Step-by-step explanation:

just took the test

Answer:

10

Step-by-step explanation:

6^2+8^2=c^2 (c is the hypotenous)

100=c^2

c=10

Use this to answer

Using two of the points on the line, you can find the slope of the line by finding the rise and the run. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run

Answer:

3,-2,-7,-12,-17,-22

when going up add, when going down subtract.

Example: -2+5=3

-17-5=-22

9514 1404 393

Answer:

Step-by-step explanation:

The formulas tell you for a circle of radius 6, ...

  C = 2π(6) = 12π

  A = πr² = π(6²) = 36π

__

a)

Arc NQ is 1/4 of the circumference of the circle, so will have length ...

  NQ = 1/4C = 1/4(12π)

  NQ = 3π . . . . units

__

b) Each sector is 1/4 the area of the circle. The area of one sector is ...

  sector area = 1/4A = 1/4(36π)

  sector area = 9π . . . . square units

__

c) The total path length is equal to the sum of the lengths of the pieces of the path length. Each radius is 6 units.

PRQNP = PR +RQ +QN +NP

  = PR +RQ +QN +NR +RP

  = 6 +6 +3π +6 +6

path length = 24 +3π . . . . units

__

Numerical answers (rounded to hundredths):

  NQ ≈ 9.42 u

  area ≈ 28.27 u²

  PRQNP = 33.42 u

The probability that the X is between 72 and 84 is 0.340 , the correct option is (d) .

In the question ,

it is given that ,

The random variable X is said to be normally distributed  ,

the mean is given as , μ = 70 , and

standard deviation of normal distribution is  (σ) = 10

probability that X is between 72 and 84 is written as P(72 < X < 84)

= P((72 - 70)/10 \(<\) Z \(<\) (84 - 70)/10)

= P(0.2 < Z < 1.4)

= P(0 \(<\) Z \(<\) 1.4) – P(0 \(<\) Z \(<\) 0.2)

From the z table , we get the values as

= 0.4192 – 0.0793

= 0.3399

≈ 0.340

Therefore , The probability that the X is between 72 and 84 is 0.340 , the correct option is (d) .

Learn more about Probability here

https://brainly.com/question/23990510

#SPJ4

Answer:

the rational numbers that doesn’t have a reciprocal are [math]0 [/math] (which can also be expressed as [math]\frac {0} {x}, x \neq 0 [/math] ), and any number of the form [math]\frac {x} {0} [/math].

Step-by-step explanation:

Answer:

As time increases water decreases

For a given triangle with sides a, b, c and a corresponding angle, A to side a(opposite side a), we would find the measure of the angle by applying the cosine rule which is expressed as

a^2 = b^2 + c^2 - 2bcCosA

Looking at the given triangle, given that a = 12, b = 7, c = 10 and angle A = x, the formula would be applied as shown below

12^2 = 7^2 + 10^2 - 2 * 7 * 10 * Cosx

144 = 49 + 100 - 140Cosx

144 = 149 - 140Cosx

140Cosx = 149 - 144

140Cosx = 5

Cosx = 5/140

Cosx = 0.0357

x = Cos^(- 1)(0.0357)

x = 87.95 degrees

The volume of the composite solid is 310.86 cubic centimeter where it has a cylinder and cone.

The composite figure has a cylinder and cone

The volume of cylinder =πr²h

The radius of cylinder is 3 cm and height is 10 cm

Volume of cylinder = 3.14×3²×10

=3.14×9×10

=282.6 cubic centimeter

Now let us find volume of cone

Volume of cone = πr²h/3

Radius of cone is 3 cm and height is 3 cm

Volume of cone = 3.14×9×3/3

=28.26cubic centimeter

Total volume = 282.6 + 28.26

=310.86 cubic centimeter

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

#SPJ1

Answer:

35 in

Step-by-step explanation:

By definition of proportion, complete question is,

⇒ 4 / x = x / 13

We have to given that;

A triangle is shown in image.

Since, Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Hence, By definition of proportion, we get;

⇒ 4 / x = x /(9 + 4)

⇒ 4 / x = x / 13

⇒ 4 × 13 = x²

⇒ x² = 52

⇒ x = 7.2

Thus, The complete sentence is,

⇒ 4 / x = x / 13

Learn more about the proportion visit:

https://brainly.com/question/1496357

#SPJ1

The Tennesseean, an online newspaper located in Nashville, Tennessee, conducts a daily poll to obtain reader opinions on current issues. In a recent poll, 762 readers responded to a question. To answer this question, we need more information about the question itself. However, I can provide a general format for an answer that includes the terms you mentioned.

The Tennesseean, an online newspaper, uses daily polls to gather opinions from readers. These polls allow the newspaper to gauge public sentiment on a variety of current issues. The recent poll in question received 762 responses, indicating a level of engagement from the readership.

The Tennesseean, an online newspaper located in Nashville, Tennessee, values reader input and conducts daily polls to gather opinions on a wide range of current issues. In a recent poll, a total of 762 readers responded to the question at hand. This high number of responses indicates that the readership is actively participating in the poll and shows a strong interest in expressing their opinions.

The Tennesseean's decision to conduct daily polls is a strategic approach to engage its audience and involve them in the newspaper's content creation process. By seeking reader opinions, the newspaper ensures that its reporting and coverage align with the interests and preferences of its audience. The high response rate of 762 readers suggests that the poll question was relevant and engaging to the readership.

The Tennesseean's use of daily polls to obtain reader opinions is a commendable effort to involve its audience in the news-making process. The substantial number of responses received in a recent poll, with 762 readers participating, demonstrates a strong level of engagement from the newspaper's readership. This feedback helps the newspaper to better understand the interests and perspectives of its audience, allowing it to deliver more relevant and informative content.

To know more about  online visit

https://brainly.com/question/12972525

#SPJ11

Answer:

6(9+7)

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

We want to know which of the given expressions will produce an answer with three significant figures. That is, it has an answer with three nonzero numbers.

Let us find the values to know