What is the average of 3/8 + 2/4 + 5/8 + 7/8 + 1 1/8 + 1 5/8 + 1 7/8 + 4

Answers

Answer 1

Answer:

1 3/8

Step-by-step explanation:

Well to find the average or the mean we need to add all the numbers,

3/8 + 2/4 + 5/8 + 7/8 + 1 1/8 + 1 5/8 + 1 7/8 + 4

= 11

Then we divide t by the number of numbers in the set.

11 ÷ 8 = 1 3/8

Thus,

the average in the set is 1 3/8.

Hope this helps :)


Related Questions

Solve the equation for X. 2(2x-4)=3(x+4) A -4 B 4 C 20 D 6

Answers

Answer:

X=20

Step-by-step explanation:

The answer is C

PLS HELP!!!!ILL MARK YOU THE BRAINLISt

Translate into an algebraic expression and simplify if possible. C It would take Maya x minutes to rake the leaves and Carla y minutes, what portion of the leaves do they rake in one minute if they work together?

Answers

Answer:

(x+y)/xy or  (1/x + 1/y) portion of the leaves

Step-by-step explanation:

Let the total work done to rake the leaves be a for representation.

Thus,

given Maya takes x minutes to rake the leaves

thus,

work done by may in x minutes = a

dividing both side by x

work done by maya in x/x = 1 minutes = a/x

similarly

given Calra takes y minutes to rake the leaves

thus,

work done by may in y minutes = a

dividing both side by y

work done by maya in y/y = 1 minutes = a/y

__________________________________

Total work done by both in 1 minutes = a/x + a/y = a(1/x+1/y) = a(x+y)/xy

Thus, if a is the total work , then they do (x+y)/xy of a work in one minute.

Thus, (x+y)/xy portion of leaves do they rake in one minute if they work together.

Which ideas from the excerpt would be most appropriate to include in a summary? Select three options. Popular novels from the past often ask provocative questions that are important to consider today. Many Americans have given up and say that the nation is no longer great or a land of dreams. John Wayne, nicknamed Duke, was an iconic Hollywood actor and filmmaker. President Reagan believed that John Wayne would argue that he was not the last American hero, because there are many more. Duke Wayne died as a symbol of the Hollywood dream industry.

Answers

Answer:

Short answer A,B,D

Step-by-step explanation:

The ideas from the excerpt would be most appropriate to include in a summary are;

Popular novels from the past often ask provocative questions that are important to consider today. Many Americans have given up and say that the nation is no longer great or a land of dreams. President Reagan believed that John Wayne would argue that he was not the last American hero, because there are many more.

What is a summary of a passage?

Summary is known to be a form of quick or short review of what has happened in a specific passage.

The summary  is regarded as a statement that present the main points of a passage as seen above.

Learn more about novels from

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match the inequality, x²≥0, with it's equivalent interval notation​

Answers

Answer:

[tex](-\infty, \infty)[/tex]

Step-by-step explanation:

Every number, when you raised to the second power is positive, therefore that inequality would be all real numbers.

[tex](-\infty, \infty)[/tex]

the initial population of a town is 16,237 and it grows with a doubling time of 24 years. what will the popluation be in 2 years.

Answers

Answer: 17,203 people

Step-by-step explanation:

The formula for solving this is;

[tex]P(t) = P_{0} (2)^{t/dt}[/tex]

Where;

P(t) is the population at time t

[tex]P_{0}[/tex] is the initial population

t is the year of interest

dt is the amount of time it takes to double.

[tex]P(t) = P_{0} (2)^{t/dt}[/tex]

[tex]P(2) = 16,237 (2)^{2/24}[/tex]

=  17,202.50

= 17,203 people

a parabola has an x-intercept at 2, its axis of symmetry is the line x=4, and the y-coordinate of its vertex is 6. Determine the equation of the parabola.

Answers

Answer:

The standard equation of the parabola is:

[tex]y=-\frac{3}{2}x^2+12x-18[/tex]

Step-by-step explanation:

An x intercept of 2 means that the point (2, 0) is in the graph of the parabola.

We can also write the general expression for the parabola in vertex form, since we can use the information on the coordinates of the vertex: (4, 6) - recall that the axis of symmetry of the parabola goes through the parabola's vertex, so the x-value of the vertex must be x=4.

[tex]y-y_{vertex}=a\,(x-x_{vertex})^2\\y-6=a\,(x-4)^2[/tex]

Now we can find the value of the parameter "a" by using the extra information about the point (2, 0) at which the parabola intercepts the x-axis:

[tex]y-6=a\,(x-4)^2\\0-6=a\,(2-4)^2\\-6=a\,4\\a=-\frac{6}{4} =-\frac{3}{2}[/tex]

Then the equation of the parabola becomes:

[tex]y-6=-\frac{3}{2} \,(x-4)^2\\y-6=-\frac{3}{2} (x^2-8x+16)\\y-6=-\frac{3}{2}x^2+12x-24\\y=-\frac{3}{2}x^2+12x-18[/tex]

The ratio of men to women working for a company is 7 to 5 . If there are 90 women working for the company, what is the total number of employees?

Answers

Answer:

The Total of employees

=216 employees

Step-by-step explanation:

Ratio of men to women is 7 to 5

Meaning

Men/women= 7/5

If their are 90 women

Let men= x

X/women= 7/5

X= women *7/5

X= 90*7/5

X= 18*7

X= 126

There are a total of 126 men

The Total of employees=men + women

The Total of employees=126+90

The Total of employees

=216 employees

Determine the values of \theta if sec\;\theta=-\frac{2}{\sqrt{3}}.

Answers

Answer:

See below.

Step-by-step explanation:

So, we have:

[tex]\sec(\theta)=-2/\sqrt{3}[/tex]

Recall that secant is simply the reciprocal of cosine. So we can:

[tex]\cos(\theta)=(\sec(\theta))^{-1}=(-2/\sqrt{3})^{-1}\\\cos(\theta)=-\sqrt{3}/2[/tex]

Now, recall the unit circle. Since cosine is negative, it must be in Quadrants II and/or III. The numerator is the square root of 3. The denominator is 2. The whole thing is negative. Therefore, this means that 150 or 5π/6 is a candidate. Therefore, due to reference angles, 180+30=210 or 7π/6 is also a candidate.

Therefore, the possible values for theta is

5π/6 +2nπ

and

7π/6 + 2nπ

6th grade math , help me please :)

Answers

Answer:

a= 7/20

b=35

Step-by-step explanation:

A was simple because 7 people with blue eyes for every 20 people written in fraction form. For b they say what if it was 100 total people so 20 x 5 = 100 so 7 x 5= 35 so your answer to b is 35

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Answers

Answer:

acute isosceles triangle

vertex angle, y =  44.0 degrees. (smallest angle)

Step-by-step explanation:

If the sides are in the ratio 4:4:3,

two of the sides have equal lengths, so it is an isosceles triangle.

Also, the sum of square of the two shorter sides is greater than the square of the longest side, so it is an acute triangle.

To find the smallest angle, we draw the perpendicular bisector of the base (side length 3) and form two right triangles.

The base angle x is given by the ratio

cos(x) = 1.5/4 = 3/8

Consequently the base angle is  arccos(3/8) = 68.0 degrees.

The vertex angle equals twice the complement of 68.0

vertex angle, y = 2 (90-68.0) = 44.0 degrees. (smallest angle)

Four friends are on a basketball team. During a game, each friend kept track of how many shots they attempted and how many of those attempts they made. Henry made 0.45 of his shots. Allison made Arthur made of her shots. of his shots. Trevor missed 58% of his shots. Which friend had the best record for the number of shots made?

Answers

Answer:

Henry had the best record for the number of shots made

Step-by-step explanation:

From the given information.

Four friends are on a basketball team.

Henry

Allison

Arthur

Trevor

We are being told that Henry made 0.45  of his shots out of all his attempts

Allison made Arthur made of her shots  of his shots.

i,e Arthur did the work for Allison , so out of Arthur's shot , we have to  figured out Allison shots,

Trevor missed 58% of his shots.

i.e Trevor failed 0.58 of his shot, If he failed 0.58 shot

Then the attempts Trevor made is :

= 1 - 0.58

= 0.42

SO , Trevor made 0.42 shots out of all his attempt

N:B We are not given any information about Arthur's shots , so we can't determine Allison shot as well.

Therefore; we will focus on only Henry and Trevor shots

So ;

Henry made 0.45  of his shots

Trevor made 0.42 out of his shots

We can thereby conclude that :

Henry had the best record for the number of shots made

Imagine you have a data set with 9,987 names. The data set is sorted alphabetically. You want to find out if the name "David Joyner" is in the data set. Using a linear search, what is the minimum number of names we might have to check?

Answers

Answer:

  1

Step-by-step explanation:

David Joyner might be the first name, so you may only have to check 1 name.

1. Manuel quiere fabricar banderitas chilenas para venderlas en los partidos de la selección nacional. Si se demora 1 hora en hacer 45 banderitas y trabaja 5 horas diarias. ¿Cuántos días se demorará en fabricar 1800 banderitas?

Answers

Answer:

[tex]\large \boxed{\text{Eight days}}[/tex]

Step-by-step explanation:

1. Calculate the hours

[tex]\text{Hours} = \text{1800 flags} \times \dfrac{\text{1 h}}{\text{45 flags}} = \textbf{40 h}[/tex]

2. Calculate the days

[tex]\text{Days} = \text{40 h} \times \dfrac{\text{1 da}}{\text{5 h}} = \text{8 da}\\\\\text{It will take $\large \boxed{\textbf{eight days}}$ to make 4500 flags.}[/tex]

In a sequence, the 40th term is 70, the 41st term is 72 and the 42nd term is 74.


a) State the term-to-term rule

b) Work out the first term

c) Work out the 80th term

Answers

Answer:

term to term rule is +2

The first term is -8

80th term is 150

Step-by-step explanation:

70 to 72 is adding 2

72 to 74 is adding 2

term to term rule is +2

The equation for a sequence like this is

xn = a + d(n−1)

where n is the term number  a is the first term and d is the term to term rule

Using the 40th term is 70

70 = a + 2( 40-1)

70 = a + 2( 39)

70 = a + 78

Subtract 78 from each side

-8 = a

The first term is -8

80th term

xn = a + d(n−1)

x80 = -8 +2 (80-1)

     = -8+2(79)

    = -8+158

   = 150

What is the missing side lenght in the triangle below?​

Answers

Answer:

45

Step-by-step explanation:

Let's call the missing side x

This is a right triangle and in right triangles the square length of hypotenuse is equal to sum of square length of base and side lengths

53^2 = 28^2 + x^2

x = 45

Solve the system using multiplication for the linear combination method. 6x – 3y = 3 –2x + 6y = 14 What is the solution to the system

Answers

Answer:

work is shown and pictured

Correct Answer would be

D: (2,3)

A fair die is rolled. What is the probability of rolling a 3 or a 4?

Answers

Answer:

2/6 which when simplified, is equal to 1/3

Answer:

1/3

Step-by-step explanation:

Help please!!!!!!! Thxxxxx

Answers

Answer:

x= 155°

straight line equals 180°

since you have a side that equals to 25°

you subtract

180°-25° = 155°

Choose the correct equation for the parabola based on the given information. Given: Focus:(4,-3) Vertex: (-2,-3) a. 24(y+3) = (x+2)^2 b. 24(x+2)=(y+3)^2 c. 6(x-4)= (y+3)^2 d. 6(y+3)=(x-4)^2

Answers

Answer:  b.  24(x + 2) = (y + 3)²

Step-by-step explanation:

Vertex: (-2, -3)

Focus:  (4, -3)

                  ↓

                same y-value so equation will be y²

Equation: a(x - h) = (y - k)²

a = 4p where p is the distance from Vertex to Focush is the x-coordinate of the Vertexk is the y-coordinate of the Vertex

Given: h = -2,  k = -3,   a = 4[4 - (-2)] --> a = 24

Input those values into the equation:  24(x + 2) = (y + 3)²

 

PLEASE EXPLAIN IN DETAILS HOW TO SOLVE LINEAR INEQUALITIES. Heres an example problem. Please solve and show your steps/explain.
6(x+8) ≥ ‒43+4x

Answers

Answer:

[tex]x \geq -91/2[/tex]

Step-by-step explanation:

[tex]6(x+8) \geq -43 + 4x[/tex]

Resolving Parenthesis

[tex]6x+48 \geq -43 + 4x[/tex]

Collecting like terms

[tex]6x - 4 x \geq -43-48[/tex]

[tex]2x \geq -91[/tex]

Dividing both sides by 2

[tex]x \geq -91/2[/tex]

Answer:

x ≥ - 91 / 2

Step-by-step explanation:

In this sample problem, the first thing we want to do is expand the part in parenthesis through the distributive property. This will make the simplification process easier. Another approach would be to divide either side by x + 8, but let's try the first.

Approach 1 : [tex]6(x+8) = 6x + 6 8 = 6x + 48[/tex]

[tex]6x + 48 \geq - 43+4x[/tex] - so we have this simplified expression. We now want to isolate x, so let's combine common terms here. Start by subtracting 6x from either side,

[tex]48 \geq - 43-2x[/tex] - now add 43 to either side,

[tex]91\geq -2x[/tex] - remember that dividing or multiplying a negative value changed the inequality sign. Dividing - 2 on either side, the sign changes to greater than or equal to, with respect to x,

[tex]- 91 / 2 \leq x[/tex], or in other words [tex]x \geq - 91 / 2[/tex]. This is our solution.

3 + 5x, for x = 10

A. 350

B. 120

C. 53

D. 75

Answers

Answer:C

Step-by-step explanation:

Pemdas

3+5(10)

5*10=50

3+50=53

Mai invests $20,000 at age 20. She hopes the investment will be worth $500,000 when she turns 40. If the interest compounds continuously, approximately what rate of growth will she need to achieve her goal? Round to the nearest tenth of a percent.

Answers

Answer:16.1%

Step-by-step explanation:

Answer:

The investment needs the rate of growth to be approximately 16.1%.

Step-by-step explanation:

When a fish is selected at random from a tank, the probability that it has a green tail is 0.54, the probability that it has red fins is 0.18, and the probability that it has both a green tail and red fins is 0.02. What is the probability that the selected fish will not have a red fin or a green tail? A) 28% B) 70% C) 2% D) 30%

Answers

Answer:

the answer is C

Step-by-step explanation:

hope this helps

The probability that the selected fish will not have a red fin or a green tail is 0.30.

To find the probability.

What is probability?

probability is the ratio of the number of favorable outcomes and the total number of possible outcomes.

Given that:

G=fish has green tail

R=fish has red fin

G^R = fish has both a red fin and a green tail

P(G)=.54

P(R) = .18

P(G^R) = .02

P(GvR) = P(G) + P(R) - P(G^R) = .54 + .18 - .02 =

P(GvR) =.72 - .02 = .7

P(neither G nor R) = 1-.7 = .3 = 30%

So, the probability that the selected fish will not have a red fin or a green tail is 0.30.

Learn more about probability here:

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Solve the given simultaneous equations : 2x + 3y = 17 ; 3x - 2y = 6

Answers

Answer:

x= 4, y=3

Step-by-step explanation:

2x + 3y = 17

3x - 2y = 6

----------

If we double the first and triple the second equation, and add up, we can get rid of y:

4x+6y= 34+9x - 6y= 18-----------------13x= 52x= 4

Then it is easy to find the value of y:

2*4+3y= 173y= 9y= 3

Answer is: x= 4, y=3

I NEED HELP ASAP PLEASE

Answers

Answer:

D. x^2 - 6x + 7.

Step-by-step explanation:

The roots are 3 plus or minus sqrt(2). That means the equation is...

(x - [3 + sqrt(2)]) * (x - [3 - sqrt(2)])

= [x - 3 - sqrt(2)] * [x - 3 + sqrt(2)]

= x^2 - 3x - xsqrt(2) - 3x + 9 + 3sqrt(2) + xsqrt(2) - 3sqrt(2) - (sqrt(2))^2

= x^2 - 3x - 3x + 9 - 2 - xsqrt(2) + xsqrt(2) + 3sqrt(2) - 3sqrt(2)

= x^2 - 6x + 7.

Hope this helps!

What is the equation of the following line? Be sure to scroll down first to see all answer options.



A.
y = 18x

B.
y = 9x

C.
y = -9x

D.
y = - x

E.
y = -18x

F.
y = x

Answers

Answer:

y=9x

Step-by-step explanation:

rise over run the rise is the y=9 and run is x=1.

9/1=9x

An important proportion that the ancient Greeks used was the

Answers

the ancient Greek used the golden ratio

Answer:

An important proportion that the Ancient Greeks used was the Golden Mean, the a0

Step-by-step explanation:

Also known as Golden Ratio, Divine Proportion, or Golden Section

These two polygons are similar.
Find the value of z.
z = [?]

Answers

Answer:

Definitely 3 hmmm..

Step-by-step explanation:

6/2=3 so 9/z=3

tfo 9/3=3

The missing variables have values of 12, 5, 9, and 3, respectively, for x, y, w and z.

Given that there are two similar polygons with dimension:

Larger polygon = 9, 6, w, 15, x.

Smaller polygon = z, 2, 3, y, 4.

We need to find the missing value of the side length.

According to the definition of the similar polygons, the corresponding sides shows proportionality.

9/z = 6/2 = w/3 = 15/y = x/4

Solving for each variable =

i) Solve for z:

9/z = 6/2

Cross-multiplying:

6z = 9 × 2

6z = 18

Dividing both sides by 6:

z = 18/6

z = 3

ii) Solve for w:

6/2 = w/3

Cross-multiplying:

2w = 6 × 3

2w = 18

Dividing both sides by 2:

w = 18/2

w = 9

iii) Solve for y:

6/2 = 15/y

Cross-multiplying:

6y = 30

Dividing both sides by 6:

y = 5

iv) Solve for x:

6/2 = x/4

Cross-multiplying:

2x = 24

Dividing both sides by 2:

x = 12

Hence the values of the missing variables are x = 12, y = 5, w = 9 and z = 3.

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Digital music distribution provides an opportunity for everyone to get their music heard. In order to get on a service like iTunes, one needs to pay for distribution through a service like Tunecore or CD Baby. These services make sure that your music is heard in the different platforms. Suppose the distributor charges the artist a $50.00 cost for distribution, and the streaming services pays $4.00 per one thousand streams. Model the profit for the total number of streams by answering the questions below: Use the cost for distribution to build your y-intercept. What is the y-intercept? Hint: the y-intercept is a point on the y axis, so your answer should be an ordered pair. Hint: you have to keep in mind that any time you pay for something, you are SPENDING money, if your y-intercept is incorrect, all your numbers will be off Use the payment per thousand streams to build your slope. What is the slope? Use the slope-intercept format (y = mx + b) to give the equation of the line. What is the equation of this line? Graph the line by adjusting the sliders below. Show your line by attaching an image below. After how many streams will you pay for the distributor charges? (hint: this is where the line crosses the x-axis, round to the nearest thousand) How many streams would it take to profit $300,000? Challenge Question: In 2019, Old Town Road became one of the most streamed songs of all time passing the previous record holders, Despacito and One Sweet Day. The second week the song was #1, it set an all time streaming record. It was streamed 143 million times (143,000,000) in the US, nearly 30 million higher than the previous record holder Drake, In My Feelings. Calculate the profit earned using these numbers. (Hint: use the slope intercept format to build this equation).

Answers

Answer:

the answer is 1.00

Step-by-step explanation:

pls mark me as the brainliest and tell me thanks

At time, t=0, Billy puts 625 into an account paying 6% simple interest. At the end of year 2, George puts 400 into an account paying interest at a force of interest, δt=16+t for t≥2. If both accounts continue to earn interest indefinitely at the levels given above, the amounts in both accounts will be equal at the end of year n. Calculate n.

Answers

Answer:

26

Step-by-step explanation:

Given that:

At time, t=0, Billy puts 625 into an account paying 6% simple interest

At the end of year 2, George puts 400 into an account paying interest at a force of interest, 1/(6+t), for all t ≥ 2.

If both accounts continue to earn interest indefinitely at the levels given above, the amounts in both accounts will be equal at the end of year n. Calculate n.

In order to calculate n;

Let K constant to be the value of time for both accounts

At  time, t=0, the value of time K when Billy puts 625 into an account paying 6% simple interest is:

[tex]K = 625 \times (1+ 0.06 K)[/tex]

[tex]K = 625 +37.5 K[/tex]

At year end 2; George  amount of 400 will grow at a force interest, then the value of  [tex]K = 400 \times e^{\int\limits^2_k {\dfrac{1}{6+t}} \, dx }[/tex]

[tex]K =400 \times \dfrac{6+K}{6+2}[/tex]

[tex]K =400 \times \dfrac{6+K}{8}[/tex]

[tex]K =50 \times ({6+K})[/tex]

[tex]K =300+50K[/tex]

Therefore:

If K = K

Then:

625 + 37.5 = 300 +50 K

625-300 = 50 K - 37.5 K

325 = 12.5K

K = 325/12.5

K = 26

the amounts in both accounts  at the end of year n = K = 26

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