Mathematics Middle School

The mean of 4 numbers is 22. What would the new mean be if the number 18 is added to the data set?
A. 17.2
B. 40
C. 21.2
D. 26.5

Answers

Answer 1
The new mean would be C: 21.2
Answer 2
How do you find the mean? You add the numbers up and divide by the amount in the set. So, we have to go backwards. Since we divided, we need to multiply 4 by 22. You get 88. Now add that new number of 18 to 88 to get 106. Now there are 5 numbers in the set so you divide 106 by 5 to get 21.2. So the answer is C. 21.2! Hope this helps!

Related Questions

120e^(2x)=75e^(3x)
Please solve with steps

Answers

Step 1. Take natural logarithm to both sides of the equation:
[tex]120e^{2x}=75e^{3x}[/tex]
[tex]ln(120e^{2x})=ln(75e^{3x})[/tex]

Step 2. Apply product rule of logarithms [tex]ln(ab)=ln(a)+ln(b)[/tex]:
[tex]ln(120)+ln(e^{2x})=ln(75)+ln(e^{3x})[/tex]

Step 3. Apply the rule [tex]ln(e^x)=x[/tex]:
[tex]ln(120)+2x=ln(75)+3x[/tex]

Step 4. Solve for [tex]x[/tex]:
[tex]ln(120)+2x=ln(75)+3x[/tex]
[tex]ln(120)-ln(75)=3x-2x[/tex]
[tex]x=ln(120)-ln(75)[/tex]
Apply the quotient rule of logarithms [tex]ln(a)-ln(b)= ln(\frac{a}{b} )[/tex]:
[tex]x=ln( \frac{120}{75} )[/tex]
[tex]x=ln( \frac{8}{5} )[/tex]

We can conclude that the solution of our equation is [tex]x=ln( \frac{8}{5} )[/tex], which is approximately [tex]x=0.47[/tex].

What is the angle of rotation of this regular decagon? What is the measure of an interior angle?

Answers

A decagon has 10 sides. If the polygon is symmetrical, the angle of rotation is given by the following equation:

360 / (number of sides)

Therefore, 

360 = 10 = 36.

The interior angles are determined by the following equation:

180 - (angle of rotation)

Therefore, 

180 - 36 = 144

The answer is A.

the product of two consecutive even integers that are negative is 224. Write an equation and find the two integers.

Answers

x=14 or x=-16 
the first integer be x and the second one will be x+2


a recipe for 2 1/2 dozen whole-wheat muffins require 600 g of flour. How many muffins can be made with 900 g of flour?

Answers

you do 600x1.5 to get 900 and then you do 2.5 x1.5=3.75 so you can make 3 and 3/4 of dozen
Final answer:

With 900 g of flour, you can make 45 muffins.

Explanation:

To find out how many muffins can be made with 900 g of flour, we can set up a proportion:

2.5 × 12 = 600

x × 900 = 1

Cross-multiplying gives us:

2.5 × 12 × 900 = 600 × x

30 × 900 = 600 × x

27000 = 600x

x = 27000 / 600

x = 45

Therefore, with 900 g of flour, you can make 45 muffins.

The height h of an arrow in feet is modeled by h(t) = -16t^2 + 63t +4, where t is the time in seconds since the arrow was shot. what is the height of the arrow after 2 seconds?

Answers

The answer is 66.

If you substitute in the formula t = 2, you will get 66.

Hope this helps you!

Jonathan bought 10lb of flour at 7.50 he had a store cupon for 0.79 what was the final price for flour

Answers

your answer is $6.71 .

HELP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ!!!

Which of the following best describes the expression 9(x + 7)?

A. The sum of constant factors 9 and x + 7
B. The product of constant factors 9 and x + 7
C. The product of a constant factor 9 and a 2-term factor x + 7
D. The sum of a constant factor 9 and a 2-term factor x + 7

Answers

The product of constant factors 9 and x + 7

Answer:

THE ANSWER IS C NOT D

Step-by-step explanation:

The answer is C i got it correct on the test DON'T LISTEN TO THE PEOPLE THAT SAY D

Which pair of numbers is an example of opposites? 1/2 and 2 -1/2 and 2 -2 and 1/2 -2 and 2

Answers

Opposites are a positive and a negative that are both an equal distance from zero on the number line. The only numbers listed that are both the same distance from zero on the number line are -2 and 2. Each is two away from zero, although in different directions.


ANSWER: -2 and 2

Hops this helps! :)

Answer is : -2 and 2

Step-by-step explanation:

150% of A is equal to $120

Answers

So, your question is kind of vague (if not even a question), but I'll guess on what you want...

So, to find 150% of A, we use this equation:
1.5a = 120
We divide both sides by 1.5 to isolate a:
a = 80
150% of 80 is equal to 120
We can make this into an equation like so:

150/100A=120

Simplify

3/2A=120

A=80

The endpoints of GE are located at G(-6,-4) , and E(4,8). Using slope-intercept form, write the equation of GE.

Answers

Answer:

The line would be y = 6/5x + 26/5

Step-by-step explanation:

To find the equation, we first need to find the slope. We can do this by using the slope formula.

m(slope) = (y2 - y1)/(x2 - x1)

m = (8 - -4)/(4 - -6)

m = 12/10

m = 6/5

Now that we have the slope, we can use that and either point in point-slope form to get the equation.

y - y1 = m(x - x1)

y - 8 = 6/5(x - 4)

y - 8 = 6/5x - 24/5

y = 6/5x + 26/5

What is the probability that her keys have landed within the forest?

Answers

if your options are: 0.2, 0.6, 0.8 & 1.0, then your answer would be 0.8. 

Answer:

0.8

Step-by-step explanation:

egde

Why is a square a rectangle and a rhombus??

Answers

A square Counts as a rectangle and a rhombus because of the sides and points that is has.
A square is a rectangle because it has 4 sides and 4 right angles.

A square is a rhombus because it has 4 equal sides.

HELP QUICKLY
15 men and 20 women what is the experimental probability that the next person to enter the store will be a man?

Answers

To find probability, you write a fraction with the numerator as the subject you are trying to find the probability of and with a denominator as the total number of subjects. The total number of subjects is 35 (or 15 + 20). The subject we are finding the probability of is men, which there are 15 of. Therefore the fraction would look like this:

15/35
which we can simplify to 
3/7

The probability that the next person to enter the store will be a man is 3/7

Answer: 3/7

Women: 20

Men: 15

Total: 35

15/35 is simplified to 3/7

Over the period of one month 159 dogs visited the dog park. Suppose the same number of dogs visited each month for 1 year. How is this total different from the year before 95 dogs visited the dog park every 3 months for the year? Show your work and explain how you got your answer. WILL MARK BRAINLEST!!!!!!

Answers

Final answer:

The total number of dogs visiting the park in the current year, assuming 159 dogs visit each month, is 1,908 dogs/year. The previous year, with 95 dogs visiting every 3 months, saw 380 dogs/year. Hence, there are 1,528 more dogs visiting the park in the current year.

Explanation:

Calculating the Total Annual Number of Dogs Visiting the Dog Park

To calculate the total number of dogs visiting the dog park over the course of a year for the current period, we simply multiply the number of dogs that visit each month by the total number of months in a year. For the previous year, we will add up the number of dogs visiting every three months and then determine the difference between the two annual totals.

Current Period Calculation:

Number of dogs visiting each month: 159 dogsNumber of months in a year: 12 monthsTotal dogs visiting in the current year = 159 dogs/month * 12 months/year = 1,908 dogs/year

Previous Year Calculation:

Number of dogs visiting every 3 months: 95 dogsNumber of 3-month periods in a year: 4Total dogs visiting in the previous year = 95 dogs/3 months * 4 (3-month periods) = 380 dogs/year

Now, we find the difference between the two annual totals:

Difference = Current year total - Previous year totalDifference = 1,908 dogs/year - 380 dogs/yearDifference = 1,528 dogs/year

The total number of dogs visiting the park in the current year is 1,528 dogs more than the previous year.

mrs.beluga is driving on a snow covered road with a drag factor of 0.2. she brakes suddenly for a deer. The tires leave a yaw mark with a 52 foot chord and a middle ornate of 6 feet. What is the minimum speed she could have been going?

Answers

First, we are going to find the radius of the yaw mark. To do that we are going to use the formula: [tex]r= \frac{c^2}{8m} + \frac{m}{2} [/tex]
where 
[tex]c[/tex] is the length of the chord 
[tex]m[/tex] is the middle ordinate 
We know from our problem that the tires leave a yaw mark with a 52 foot chord and a middle ornate of 6 feet, so [tex]c=52[/tex] and [tex]m=6[/tex]. Lets replace those values in our formula:
[tex]r= \frac{52^2}{8(6)} + \frac{6}{2} [/tex]
[tex]r= \frac{2704}{48} +3[/tex]
[tex]r= \frac{169}{3} +3[/tex]
[tex]r= \frac{178}{3} [/tex]

Next, to find the minimum speed, we are going to use the formula: [tex]s= \sqrt{15fr} [/tex]
where
[tex]f[/tex] is drag factor
[tex]r[/tex] is the radius 
We know form our problem that the drag factor is 0.2, so [tex]f=0.2[/tex]. We also know from our previous calculation that the radius is [tex] \frac{178}{3} [/tex], so [tex]r= \frac{178}{3}[/tex]. Lets replace those values in our formula:
[tex]s= \sqrt{(15)(0.2)( \frac{178}{3}) } [/tex]
[tex]s= \sqrt{178} [/tex]
[tex]s=13.34[/tex] mph

We can conclude that Mrs. Beluga's minimum speed before she applied the brakes was 13.34 miles per hour. 

The minimum speed Mrs. Beluga could have been traveling when she braked suddenly on the snow-covered road is approximately 13.68 mph.

To find this, we can use the formula for determining speed from yaw marks: v = √(15 × f × R), where v is the speed in miles per hour, f is the drag factor (0.2 in this case), and R is the radius of the yaw mark.

First, we need to determine the radius of the yaw mark using the given chord length (52 feet) and middle ordinate (6 feet). The formula for R using these values is: R = (C² / 8M) + (M / 2), where C is the chord length and M is the middle ordinate.

Plugging in the values, we get:
R = (52² / 8 × 6) + (6 / 2)Calculating inside the parentheses:
R = (2704 / 48) + 3This simplifies to:
R ≈ 59.42 + 3Thus, R ≈ 62.42 feet.Now, plug R and f into the speed formula:
v = √(15 × 0.2 × 62.42)Calculating inside the square root:
v = √(187.26)This yields:
v ≈ 13.68 mph.

Therefore, the minimum speed Mrs. Beluga could have been traveling was approximately 13.68 mph.

The school's basketball team lost 4 times as many games as they won. They also tied 5 fewer games than they won.

If they played 43 games, how many did they lose?

Answers

If they played 43 games, the number of games that they lost is: 32

How to save algebra word problems?

Let

x represent number of games won

Let y represent number of lost games.

Thus;

y = 4x - - - - - equation (I)

Let z denote tied games.

Thus;

z = x - 5 - - - - - equation(II)

Total games played is 43.

Thus;

x + y + z = 43 (III) equation

substitute (I) and (II) in (III)

therefore

x+(4x)+(x-5)=43

6x-5=43

x=48/6

x=8

y = 4x

= 4*8 =32

The answer is 32 lost games


I WILL MARK THE BRAINLIEST! PLZ HELP!




The track-and-field coach wants to know whether the students in the entire school prefer track races or field events. The coach draws a random sample from the following groups:
All students in each grade
All teachers in the school
All boys in each grade in the school
All students on the track-and-field team

Which group best represents the population she should take a random sample from to get the best results for her survey? (5 points)

{A} All students in each grade
{B} All teachers in the school
{C} All boys in each grade in the school
{D} All students on the track-and-field team

Answers

A, because she is measuring opinions that revolve around the entire school. That said, A would be a reasonable answer.

The  track-and-field coach should select the group which contains all students in each grade to take a random sample to get the best results for her survey.

We have a situation in which track-and-field coach wants to know whether the students in the entire school prefer track races or field events. In order to do so she draws a random sample from the following groups:

• All teachers in the school

• All boys in each grade

• All students in the track-and-field team

• All students in each grade

We have to find the best group from which she should take a random sample of the above mentioned to get the best results for her survey.

What is the condition for Set A to be a Superset of Set B?

Set A is superset of Set B if Set A contains all the elements of Set B.

In our question, we have four groups in the form of four sets as -

• Set of all teachers in school (say Set T)

• Set of all boys in each grade (say Set B)

• Set of All students in track-and-field team (Say Set C)

• Set of all students in each grade (Say Set S)

Since the art teacher wants to know the opinion of students, therefore Set T is not correct. Set B contains all boys in each grade, but it would exclude the girls in each grade, therefore it is also not correct. Set C consists of all students in track-and-field team, but it would exclude students who are not in track and field team, therefore incorrect. Set S consist of all Students in each grade, this means that Set S is the superset of Set B and Set C and contains all the students of the school.

Hence, the group that contains all students in each grade should be selected to take a random sample to get the best results for her survey.

To solve more questions like these, visit the link below -

brainly.com/question/4093666

#SPJ2

solve the equation. choose the answer in simplest form. 4x= 8/7 (A) 1/28 (B) 1/7 (C) 2/7 (D) 7/2

Answers

4x=8/7
x=(8/7)÷4
x=2/7
4x = 8/7
/4     /4

x = (8/7)/4 (Keep, change, flip)
x = 8/7 * 1/4
x = 8/28
x = 2/7

i need your help please!!!

Answers

In order to find the area of the semicircle, or the shaded region, we just have to find the area of the entire circle and divide it by 2. The formula for the area of a circle is [tex] \pi r^{2} [/tex]. With the given diameter of 12, we can deduce that the radius is 6.

Area of Semicircle = ([tex] \pi 6^{2} [/tex]/2)
Area of Semicircle = (3.14 x 36/2)
Area of Semicircle = (3.14 x 18)
Area of Semicircle = 56.52[tex] in.^{2} [/tex]

Hope this helps!
To do this first find the area of a circle. The area of a circle uses this formula...

[pi]r^2

So substituting...

The diameter is 12 in. And radius is half of the diameter.

12/2=6. The radius is 6 in.

To finish this, we do the r^2, which is 6^2, which is 36.

Finally, we multiply pi by 36, in this question we found pi to 3.14.

The area of the circle is 113.04 in. BUT, Half of the circle, that is being shaded, would subtract half of the circle away from the total area.

So we do 113.04/2=

56.52.

The answer is that the shaded/not shaded side of the circle is equal to 56.52 in.

solve using quadratic equations

Answers

4x² - 9x² + 5 = 0
4x² - 4x - 5x + 5 = 0
4x(x - 1) - 5(x - 1) = 0
(4x - 5)(x - 1) = 0

Set each binomial equal to zero. 

4x - 5 = 0
4x = 0 + 5
4x = 5
x = 5/4

x - 1 = 0
x = 0 + 1
x = 1

Your solutions are x = 1, 5/4

Is 7/8 the right answer

Answers

Yes you would be correct!
Yes 1 3/4 - 7/8=7/8 hope this helps

The base of this regular right pyramid is a square. What is its surface area?
base edge = 8in
Height = 12in

Answers

p=4(8)=32  inches

B=8^2=64  inches2

T.S.A.=1/2(32)(12)+ 64           
   =192+ 64 
     =  256 inches2

Answer:

C

Step-by-step explanation:

Tommy conducts an experiment where he rolls a number cube, with sides labeled from 1 to 6, and then flips a coin. This table shows the results from 12 trials. Results 1 H 4 T 1 H 5 T 2 H 3 T 6 T 2 H 3 T 5 T 3 H 4 T How do the experimental probability and theoretical probability of rolling an odd number and then flipping a tail in Tommy's trials compare? Drag and drop the values or phrases to correctly complete the sentence. The experimental probability is , which is the theoretical probability of .

Answers

The experimental probability is greater than the theoretical probability.

The theoretical probability of rolling an odd and flipping a coin is 1/4.
1/2 x 1/2 = 1/4

Looking at the results, there are 4 occasions where an odd numbers was flipped then tails.

That is 4 out of 12 or 1/3 which is more than 1/4 for the theoretical.

Answer:

The experimental probability is greater than the theoretical probability.

Step-by-step explanation:

Edg : )

Over the last 4 years, Michael has earned $240 interest on an initial investment of $2,000. What simple annual interest rate is the bank paying on this account?

Answers

the simple interest rate was 0.3 or just 3%

Answer:

3%

Step-by-step explanation:

solve the area of a triangle for b and use the resulting formula to find the base of a triangle with a height of 6 ft. and an area of 9 ft. ^2.

Answers

The formula of the area of a triangle:

[tex]A_\Delta=\dfrac{bh}{2}[/tex]

b - a base
h - a height

We have:
h = 6ft.and A=9 ft.²

substitute:

[tex]\dfrac{6b}{2}=9\\\\3b=9\ \ \ |:3\\\\b=3\ ft.[/tex]

Answer: b = 3ft.

I need help trying to find the vertex y=2x^2 + 12x +26

Answers

In order to find the vertex, you first need to find the axis of symmetry- the formula is (A.O.S) x = \frac{-b}{2a} 

So you would multiply 12 by -1 and get -12, then multiply 2 by 2 (a) and you should get 4.
In order to get the A.O.S, divide -12 by 4 = -3

Finally, plug in x (or the A.O.S) 

Your equations should now look like this;
y = 2 (-3) ^2 + 12 (-3) +26
Solve each part separately and then add it up:
-3^2 = 9 * 2 = 18
12 * -3 = -36
and just 26

18 - 36 + 36
Vertex (or y) = 18
Rewrite in standard form and use this form to find the vertex (h,k)
(-3,8)

what is the missing constant term in the perfect square that starts with x^2 +6x

Answers

I'm not really sure how to explain this, but this is just a perfect square I'm familiar with.


The answer is 9
x^2 + 6x + 9 is the same thing as (x+3)^2

Rhombus WXYZ is graphed on a coordinate plane. What is the area of the rhombus? 24 square units 28 square units 32 square units 48 square units


Rhombus WXYZ is graphed on a coordinate plane.

What is the area of the rhombus?

24 square units
28 square units
32 square units
48 square units

Answers

Answer:

24 square units

Step-by-step explanation:

Find the greatest common factor of 8a 3 b 2 and 12ab 4.

Answers

Do you mean 8a³b² and 12ab^4?

If it is like this..
The GCF is 4ab²

Answer:

4ab²

Step-by-step explanation:

The two expressions are given as 8a³b² and 12ab⁴

Now factors of 8a³b² = 2 × 2 × 2 × a × a × a × b × b

and factors of 12ab⁴ = 2 × 2 × 3 × a × b × b × b × b

Now greatest common factor will be 2 × 2 × a × b × b

= 4ab²

The center circle of a soccer field prohibits a defender from being near the ball at the start or restart of a soccer game. On a professional soccer field this circle is 20 yards in diameter. Find the area of this circle. Show work or explain how you found your answer.

Answers

In terms of diameter (d), the area (A) of a circle is given by the formula
 A = (π/4)d²

You have d=20 yd, so the area of the circle is
 A = (π/4)×(20 yd)² . . . . substitute the given information into the formula
 A = 100π yd² . . . . . . . . do the arithmetic
 A ≈ 314.16 yd²
Final answer:

The area of the center circle on a professional soccer field, which has a diameter of 20 yards, is calculated using the formula for the area of a circle. The calculated area is approximately 314.16 square yards.

Explanation:

To find the area of the center circle on a soccer field, we use the formula for the area of a circle: A = πr^2, where A is the area and r is the radius of the circle. Given that the diameter of the circle is 20 yards, the radius (which is half of the diameter) would be 10 yards. Therefore, substituting 10 for r in the formula gives A = π(10)^2.

Performing the calculations, we find that A = π(100), which equals 314.16 square yards, using 3.1416 as the approximation for σ. Hence, the area of the center circle on a professional soccer field is approximately 314.16 square yards.

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