What is the median of Restaurant A's service ratings?

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Answer: The Answer is "less than"

Step-by-step explanation:

To find the sum of a series, you find the difference between the first and last term, multiply that by the number of terms, then divide by 2.

For the even numbers, 2 is the first term and 200 is the 100th term (because 2+(100-1)2 is equal to 200). So, (100(2+202)/2 = 10100.

For the odd numbers, 1 is the first term and 201 is the 101th term (because 1+(101-1)2 is equal to 201). So, (101(1+202))/2 = 10251.5.

10100<10251.5 so the sum of the first 100 even numbers is less than the sum of the first odd 101 numbers.

The sum of the first 100 even natural numbers is smaller than the sum of the first 101 odd natural numbers.

A number that is divisible by two into two equal whole numbers is called an even number. Even numbers are those that end in 0, 2, 4, 6, and 8.

The problem can be solved using the arithmetic sequence. The sum of the first 100 even numbers will be,

[tex]\text{Sum of first 100 even numbers} = \dfrac{100}{2} \times [2(2) +(100-1)2]=10,100[/tex]

The sum of the first 101 odd numbers will be,

[tex]\text{Sum of first 101 odd numbers} = \dfrac{101}{2} \times [2(1) +(101-1)2]=10,201[/tex]

Hence, the sum of the first 100 even natural numbers is smaller than the sum of the first 101 odd natural numbers.

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Answer:

k =2.57

Step-by-step explanation:

3.1+k=5.67

Subtract 3.1 from each side

3.1-3.1+k=5.67-3.1

k =2.57

Answer:

k=2.57

Step-by-step explanation:

Okay so first things first we have to eliminate 3.1 so we can get the variable k by itself.

 3.1+k=5.67

-3.1    -3.1

k=2.57

Just in case if you're confused we have to isolate thats why we were subtracting both sides by 3.1

(Hope you find this helpful ;w;)

Answer:

  -45/2 = -22.5

Step-by-step explanation:

The applicable rules of exponents are ...

  [tex](a^b)(a^c)=a^{b+c}\\\\\sqrt[n]{a^m}=a^\frac{m}{n}\\\\\dfrac{1}{a^b}=a^{-b}[/tex]

__

These rules let us rewrite the expression as ...

  [tex]\dfrac{3x^{\frac{7}{2}}y^{-4}}{\sqrt[4]{16x^2y^4}}=\dfrac{3}{16^{\frac{1}{4}}}\cdot x^{\frac{7}{2}-\frac{2}{4}}y^{-4-\frac{4}{4}}=\dfrac{3}{2}\cdot x^3y^{-5}[/tex]

Now, we know the values of a, b, c:

  a = 3/2, b = 3, c = -5

Their product is (3/2)(3)(-5) = -45/2 = -22.5.

Answer:

B

Step-by-step explanation:

Given the expression:

[tex]log_{1/2} 462 [/tex]

we want to find an equivalent expression.

Change of base formula:

[tex]log_{a} b = \frac{log b}{log a} [/tex]

where log means logarithm with base 10, also known as common logarithm.

Then, the expression of the problem is transformed into:

[tex]log_{1/2} 462 = \frac{log 462}{log (1/2)} [/tex]

Answer:

130º

Step-by-step explanation:

use the conveyor xd

Answer:

g(h(a)) = 6a-1

Step-by-step explanation:

They are trying to confuse you for no reason.

it migt be easier if you think of g(a) instead as g(x)=2x-3

So h(a)=3a+1, and we pu it info g(x), which would make it 3a+1=x, so g(3a+1) = 2(3a+1)-3=6a+2-3=6a-1

Answer:

(-8,0)

Step-by-step explanation:

(-4×2 + 0, 0×2 + 0)

(-8,0)

Final answer:

The image of point L (-4,0) after a dilation with a scale factor of 2 from the center (0,0) is L' (-8,0).

Explanation:

To find the image of the point L (-4,0) after a dilation with a scale factor of 2 from the center (0,0), you multiply the coordinates of the point by the scale factor. Therefore, the coordinates of point L after dilation (L') would be (-4 × 2, 0 × 2) = (-8, 0).

The image of point L after the dilation is L' with coordinates (-8, 0).

Answer:

100

Step-by-step explanation:

I counted

Answer and Step-by-step explanation:

The journal entries are shown below:

On March 12

Account receivable A/c Dr $11,000

         To Sales $11,000

(Being the goods are sold on credit)

On March 11

Cash  $10,780

Sales discount  ($11,000 × 2%)          $220

       To Account receivable $11,000

(Being the cash received is recorded)

Only these two entries are recorded

Since the payment is made within 10 days so Grace hospital is eligible for the discount

There are 6 faces on a cube. Each face is equal to the area of one square.

Area of one square = 2.5 x 2.5 = 6.25 units^2

Surface area = 6.25 x 6 = 37.5 units^2

Hope this helps!! :)

Answer:

37.5

Step-by-step explanation:

Since it is a cube, all edges are 2.5. To find one side, you do 2.5x2.5. That gives you 6.25. And you have 6 sides. So 6.25x6 = 37.5.

I think it's 11.40

Step-by-step explanation:

hope it's right

Answer:

216.67

Step-by-step explanation:

Answer:

3. Terms

4. Like terms

5. Coefficient

Step-by-step explanation:

Please keep in mind that Brainly shouldn't be used to cheat on tests or exams.

Answer:

1/2 or 0.5 either way they're both right

Step-by-step explanation:

The slope of the line is 1/2

The formula for calculating the slope of the line is expressed as:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

From the graph, using the coordinate points (0, 2) and (-4, 0)

Get the slope using the coordinate;

[tex]m=\frac{0-2}{-4-0}\\m=\frac{-2}{-4}\\m=\frac{1}{2}[/tex]

Hence the slope of the line is 1/2

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Answer:

  [x, y, z] = [7, 17, -15]

Step-by-step explanation:

The list equation resolves to four equations involving corresponding list elements:

  5 -x = -2   ⇒   x = 7

  -8 -7 = z   ⇒   z = -15

  2 -11 = 13   ⇒   looks like a wrong sign somewhere; this is FALSE

  y -4 = 13   ⇒   y = 17

_____

Comment on the question

Since one of the equations turns out to be false, it makes us suspect there may be typos in the others as well. YMMV

Final answer:

The total change in temperature when a substance is consistently heated by 6 °C each hour for 60 hours is 360 °C, calculated by multiplying the hourly temperature increase by the number of hours.

Explanation:

To calculate the total change in temperature when a substance is heated by a consistent amount over a period of time, you simply multiply the rate of temperature change per hour by the total number of hours. In this case, the substance was heated by 6 °C each hour for 60 hours. So, the calculation will be 6 °C/hour * 60 hours.

The total change in temperature is therefore 6 °C/hour * 60 hours = 360 °C. This calculation shows the cumulative effect of consistent heating over a certain period.

Answer: The probability is 0.013

Step-by-step explanation:

Out of 80 people, 28 of them dance with the hands touching the ground.

Then, the probability of selecting at random someone that dances with the hands touching the floor is equal to the number of persons that dance in that way, divided by the total number of persons.

For the first selection, this is p1 = 28/80

now, the probability in the second selection will be 27/79, because we have selected 1 out of the 28 (and also 1 out of the 80)

for the third and the fourth we have:

p3 = 26/78

p4 = 25/77

Then the probability of the fourth events is equal to the product of the four probabilities:

P = (28/80)*(27/79)/(26/78)/(25/77) = 0.013

Answer:

The probability that each of the 4 dance with their hands touching the floor is 0.0129.

Step-by-step explanation:

There are a total of 80 people and out of them, 28 dance with their hands touching the floor. The probability of selecting a person who has their hands touching the floor while dancing can be computed as 28/80.

We are asked to computed the probability that four people are selected at random and all four of them dance with their hands touching the floor. The probability for selecting the first person is 28/80. For the second person, the total no. of people are now 79 and the people who can dance with their hands touching the floor are 27. So, the probability is 27/79. Similarly, for the third person, the probability is 26/78 and for the fourth person, the probability is 25/77.

So, the probability that all four people selected dance with their hands touching the floor is:

28/80 * 27/79 * 26/78 * 25/77 = 0.0129

Answer:

More likely

Step-by-step explanation: It wouldn't be likely because that is 100% of that happening

Answer:

It would be raining but not raining cats and dog and then goes away like 15-20 minutes. But the weather can change how much it is going to rain like if its hot and sunny at a high number it is 50 chance to not rain but if its like a low weather then its likely to rain.

Answer:

i believe the answer for your question is 80 cm.

Step-by-step explanation:

A rectangle is a closed two-dimensional figure with four sides. The opposite sides of a rectangle are equal and parallel to each other and all the angles of a rectangle are equal to [tex]90[/tex] degree and the volume of the rectangular prism is [tex]60cm^{3}[/tex]

What is rectangle ?

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to [tex]90[/tex] degrees.

Here the size of one cube is [tex]1 centimeter[/tex].

As we know, the volume of the rectangle is:-

[tex]Volume=(Length)(Breadth)(Height)\\V=(4)(3)(5)\\V=60 cm^{3}[/tex]

Hence, the volume of the rectangular prism Wendy built​ is [tex]60cm^{3}[/tex].

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Answer: 151

Step-by-step explanation:

In this situation we have two cones, the big cone with volume [tex]V_{big}[/tex] and the small cone with volume [tex]V_{small}[/tex].

Now, if we want to know the total volume [tex]V_{T}[/tex] we have to substract [tex]V_{small}[/tex] from  [tex]V_{big}[/tex], but first we have to calculate each volume:  

For the big cone:

[tex]V_{big}=\frac{\pi R^{2} H}{3}[/tex]

Where:

[tex]R=\frac{Diameter}{2}=\frac{8 in}{2}=4 in[/tex]

[tex]H=9 in[/tex]

Then:

[tex]V_{big}=\frac{\pi (4 in)^{2} 9 in}{3}[/tex]

[tex]V_{big}=150.79 in^{3}[/tex] Volume of big cone

For the small cone:

[tex]V_{small}=\frac{\pi r^{2} h}{3}[/tex]

Where:

[tex]r=\frac{diameter}{2}=\frac{1 in}{2}=0.5 in[/tex]

[tex]h=1 in[/tex]

Then:

[tex]V_{small}=\frac{\pi (0.5 in)^{2} 1 in}{3}[/tex]

[tex]V_{small}=0.261 in^{3}[/tex] Volume of small cone

Calculating the total volume:

[tex]V_{T}=V_{big}-V_{small}[/tex]

[tex]V_{T}=150.79 in^{3}-0.261 in^{3}[/tex]

Finally:

[tex]V_{T}=150.52 in^{3} \approx 151 in^{3}[/tex]

Answer:

151 in^3

Step-by-step explanation:

Find the volume of the cones the subtract them to get your final answer

Answer:

median =55

Step-by-step explanation:

The median is the middle number.  It will fall exactly between those two numbers.  Take the average

(51+59)/2 = 110/2 =55

The median is the middle number of a data set. We can find the median using two by the following.

51 + 59 = 110

110 / 2 = 55

The median is 55!

Best of Luck!

Answer: 7/9

I hope that helps. That’s the answer I got.

Answer:

Step-by-step explanation:

[tex][ \frac{5}{6}-(\frac{1}{3})^{2}]*\frac{1}{2}=[\frac{5}{6}-\frac{1}{9}]*\frac{1}{2}\\\\=[\frac{5*3}{6*3}-\frac{1*2}{9*2}]*\frac{1}{2}\\\\=[\frac{15}{18}-\frac{2}{18}]*\frac{1}{2}\\\\=[\frac{15-2}{18}]*\frac{1}{2}\\\\=\frac{13}{18}*\frac{1}{2}\\\\=\frac{13}{36}[/tex]

Area of the parallelogram = (base length) x (height)

Step-by-step explanation:

The parallelogram has 2 different sides.

To find:

The expression to calculate the area of parallelogram.

Base of the parallelogram= 5(1/4) in.

Height of the parallelogram= 4(1/5) in.

Area of the parallelogram= base x height

= 5(1/4) x 4(1/5) = 1 square inches.

So, the expression to calculate the area of the parallelogram is,

 Area = (base length) x (height)

Answer:

Part 1) [tex]m\angle AFE=55^o[/tex]

Part 2) [tex]m\angle EFB=125^o[/tex]

Step-by-step explanation:

Part 1) what is the measure of angle AFE

we know that

The measure of the interior angle is the semisum of the arches that comprise it and its opposite.

Note: In this problem the correct measure of arc EA is 40 degrees (see the picture)

so

[tex]m\angle AFE=\frac{1}{2}(arc\ EA+arc\ DB)[/tex]

substitute the given values

[tex]m\angle AFE=\frac{1}{2}(40^o+70^o)=55^o[/tex]

Part 2) what is the measure of angle  EFB?

we know that

[tex]m\angle AFE+m\angle EFB=180^o[/tex] ---> by supplementary angles (form a linear pair)

so

substitute the given value

[tex]55^o+m\angle EFB=180^o[/tex]

[tex]m\angle EFB=180^o-55^o=125^o[/tex]

The measure of angle AFE is 60 degrees and the measure of angle EFB is 10 degrees. This is derived from the property that the measure of an inscribed angle is half the measure of its intercepted arc.

The measure of an inscribed angle (an angle whose vertex is on the circle) is half the measure of its intercepted arc. The measure of angle AFE is half the sum of arc EA (50 degrees) and arc DB (70 degrees), while the measure of angle EFB is half the difference of arc EA and arc DB.

Therefore:

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Answer: 7.5

Step-by-step explanation: It's negative, so the opposite would be positive.

Answer:

7.5

Step-by-step explanation

They are both matching integers

mark me brainliest if I helped:D

Step-by-step explanation:

as we know that the power will be multiplied then

[tex] ({5}^{3} ) ^{6} [/tex]

[tex] {5}^{18} [/tex]

Hope it will help :)

Answer:

A is true.

Step-by-step explanation:

The square root of 65 is approximately 8.06226. This means that 8 is less than [tex]\sqrt{65}[/tex] but [tex]\sqrt{65}[/tex] is less than 9.

Let me know if you need anymore help

Answer:

m=37

Step-by-step explanation:

The 2 angles are complementary, or add to 90 degrees. Wee know this because of the little square in the corner that indicates a right angle, which is equal to 90 degrees.

m+53=90

Solve for m by getting m by itself. To do this, subtract 53 from both sides to "reverse" the addition being done to m.

m+53-53=90-53

The 53s on the left cancel, and we are left with:

m=37

Answer:

M = 37°

Step-by-step explanation:

M + 53° = 90°

M = 90° - 53°

M = 37°