David and Patti each decomposed 138. David wrote 1 + 1/8 + 3/8. Patti wrote 4/8+2/8+5/8.
Who Is Correct?
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Answers

Answer 1

Answer:

Both are wrong.

Step-by-step explanation:

We have that:

Both decomposed the fraction [tex]\frac{13}{8}[/tex] into a sum of fractions. Whoever's decomposition sum has a value of [tex]\frac{13}{8}[/tex] is correct.

David:

[tex]1 + \frac{1}{8} + \frac{3}{8} = \frac{8}{8} + \frac{1}{8} + \frac{3}{8} = \frac{8+1+3}{8} = \frac{12}{8}[/tex]

[tex]\frac{12}{8} \neq \frac{13}{8}[/tex], which means that David is wrong.

Patti

[tex]\frac{4}{8} + \frac{2}{8} + \frac{5}{8} = \frac{4+2+5}{8} = \frac{11}{8}[/tex]

[tex]\frac{11}{8} \neq \frac{13}{8}[/tex], which means that Patti is wrong.

So the answer is that both are wrong.


Related Questions

Line L is parallel to line M if the measure of angle six is 75 what is the measure of angle one

Answers

The measure is to L is 75

At midnight, the temperature was 43.7°F. In the morning, the temperature was −3.6°F. Which statement describes the temperature?

Answers

Answer: At midnight, the temperature was 43.7 degrees above 0, and in the morning, it was 3.6 degrees below 0

HOPE THIS HELPS

A potato chip company produces a large number of potato chip bags each day and wants to investigate whether a new packaging machine will lower the proportion of bags that are damaged. The company selected a random sample of 150 bags from the old machine and found that 15 percent of the bags were damaged, then selected a random sample of 200 bags from the new machine and found that 8 percent were damaged. Let p^O represent the sample proportion of bags packaged on the old machine that are damaged, pˆN represent the sample proportion of bags packaged on the new machine that are damaged, pˆC represent the combined proportion of damaged bags from both machines, and nO and nN represent the respective sample sizes for the old machine and new machine.

Required:
Have the conditions for statistical inference for testing a difference in population proportions been met?

Answers

Answer:

The conditions for the approximation have been met

Step-by-step explanation:

Random samples on both cases  and

p∧o proportion of bags packaged on the old machine that are damaged

p∧n sample proportion of bags packaged on the new machine that are damaged

p∧c  =  ( p∧o + p∧n ) / (nO + nN )  

p∧o = 15 %      p∧o =  0,15         nO = 150

p∧o *  nO = 0,15 *150          p∧o *  nO = 22,5

p∧n  = 8 %      p∧n  = 0,08     nN = 200

p∧n*nN  = 0,08 * 200     p∧n*nN  = 16

Both  p∧n*nN  and   p∧o *  nO    are bigger than 5

Therefore both samples are big enough for the approximation of the binomial distribution to normal distribution

• plot the two points
• draw the hypotenuse
• complete the triangle
• use the Pythagorean theorem to find the distance between the
given points
• show all your work
• leave answers in simplest radical form.
1. (3, 4), (-2, 6)
У
61
.
2
10
8 9 10

Answers

9514 1404 393

Answer:

  √29

Step-by-step explanation:

We can call the given points A(3, 4) and B(-2, 6).

The right triangle with segment AB as a hypotenuse can best be drawn along grid lines. Then the vertical leg is the difference of y-coordinates: 6-4 = 2, and the horizontal leg is the difference of x-coordinates: 3 -(-2) = 5.

The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the legs.

  AB² = 2² + 5²

  AB² = 4 + 25 = 29

Taking the square root, we find the length of the line segment between the points to be ...

  AB = √29

I need help plzz I need help plzz

Answers

13.6 ft. It’s asking for the length

(Look at pictures)
Geometry
(Plz answer fast ill give all points and brainly)

Answers

Answer:

D

Step-by-step explanation:

Clockwise would mean a rotation to the right, and since the triangle is already plotted, just use the little picture turning icon( in the top right corner of the photo of the problem) to turn, and look at the triangle in the original graph to see how it moved.

Then click the button three more time until you get the photo right-side-up, and choose which option is the best answer.

Data was collected from a simple random sample of 200 cell phone users age 18 or older in the United States. Each user was categorized by age-group and by whether he or she uses a certain cell phone app. The table shown summarizes the data, with expected cell counts in parentheses.
Uses Cell Phone App
Yes No Total
Age-Group Young Adults 4 (15.2) 76 (64.8) 80
Older Adults 29 (19.38) 73 (82.62) 102
Elderly Adults 5 (3.42) 13 (14.58) 18
Total 38 162 200
Which statement is true about whether the conditions for a chi-square test for independence have been met?
A. All necessary conditions are satisfied to apply a chi-square test for independence between age group and texting use by cell phone users.
B. The data from the different age groups are not the result of independent random samples; therefore, the conditions for the test are not met
C. The total sample size in one or more of the age-groups is too small to meet the conditions of the chi-square test for independence.
D. Not all of the observed cell counts are large enough to satisfy the conditions for the chi-square test for independence.
E. Not all of the expected cell counts are large enough to satisfy the conditions for the chi-square test for independence

Answers

Answer:

D

Step-by-step explanation:

i took it

Answer:

d

Step-by-step explanation:

my stats teacher went over it

Use the figure below and 2-3 sentences to explain the following:

The side opposite angle E is side ____?


The side adjacent to angle E is side ____?


The hypotenuse is side ____?

Answers

Answer/Step-by-step explanation:

The triangle given is a right triangle

Reference angle = angle E

Thus:

The side that is opposite to angle E is side DF = e

The side that is adjacent to angle E is side EF = d

The hypotenuse side is the longest side that is opposite go the right angle of the triangle = DE = f

My teacher wants me to answer questions 1-10 with work shown. It can be any kind of work as long as it shows how you got the answers.

Answers

Answer:

use the app photomath its free. and shows you all the steps

Step-by-step explanation:

Benny sees an inflatable beach ball for sale at a pool store. The packaging says that the ball has a diameter of 20 inches. Benny purchases and inflates the
ball. What is its volume?
O A 400x
3
in
OB. 1,0007 in
0 C 4,000
in3
D
32,000
3
in?

Answers

Answer:

Volume of beach ball = 4176.2 inch³ (Approx.)

Step-by-step explanation:

Given:

Diameter of beach ball = 20 inches

Find:

Volume of beach ball

Computation:

Radius of beach ball = Diameter / 2

Radius of beach ball = 20 / 2

Radius of beach ball = 10 inches

We know that beach ball is a sphere shape

So,

Volume of beach ball = Volume of sphere

Volume of sphere = [4/3][π][r³]

Volume of beach ball = [4/3][π][r³]

Volume of beach ball = [4/3][22/7][10³]

Volume of beach ball = [1.33][3.14][1,000]

Volume of beach ball = 4176.2 inch³ (Approx.)

What is the square root of 36542

Answers

Answer:

191.159619167

Step-by-step explanation:

I Need Help!!! PLEASE HELP!!!!!!!!

Answers

Answer:

Maybe B?

Step-by-step explanation:

Eddie purchases 72 feet 6 inches of fencing and finds that he needs 7 feet 8 inches more fencing to finish fencing his back yard.
What is the total length of fencing that Eddie needs?

A.) 79 feet 16 inches
B.) 79 feet 12 inches
C.) 30 feet 2 inches
D.)80 feet 4 inches

Answers

Answer:

The answer is C

Step-by-step explanation:

Please help ill give you BRAINLIEST. No links please

Answers

Answer:

m(arc FE) = 166°

Step-by-step explanation:

By theorem of intersecting chords and tangent of a circle,

Measure of the angle formed by a chord and tangent intersecting on the circle measure the half of the intercepted arc.

m(∠GFE) = [tex]\frac{1}{2}\text{m (arc} FE)[/tex]

83° = [tex]\frac{1}{2}\text{m (arc} FE)[/tex]

m(arc FE) = 166°

Pls help ! I have a couple of minutes left.

Answers

Answer:

The building would be about 77 feet!

Step-by-step explanation:

Brainliest Please!

Refrigerators are able to transfer energy out of a substance. AT first the
substance is a gas but then it changes so first the molecules

A-vibrate in place but then the move apart from each other

B-are far apart but when energy leaves the particles move more closely around each
other

C-are moving close together very quickly and then very far apart suddenly

Answers

Answer:

C- are moving close together very quickly and then very far apart suddenly

HELP PLSSSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

3) not equivalent

4) equivalent multiply by 2

5) equivalent multiply by 2

Help #2-8 please thank you !

Answers

2. $1.75
3. $1.65
4. $1.05
5. $1.55
6. $1.20
7. $1.50
8. $1.29

g Annual starting salaries in a certain region of the U. S. for college graduates with an engineering major are normally distributed with mean $39725 and standard deviation $7320. Suppose a school takes a sample of 125 such graduates and records the annual starting salary of each. The probability that the sample mean would be at least $39000 is about

Answers

Answer:

The probability that the sample mean would be at least $39000 is of 0.8665 = 86.65%.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean $39725 and standard deviation $7320.

This means that [tex]\mu = 39725, \sigma = 7320[/tex]

Sample of 125

This means that [tex]n = 125, s = \frac{7320}{\sqrt{125}}[/tex]

The probability that the sample mean would be at least $39000 is about?

This is 1 subtracted by the pvalue of Z when X = 39000. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{39000 - 39725}{\frac{7320}{\sqrt{125}}}[/tex]

[tex]Z = -1.11[/tex]

[tex]Z = -1.11[/tex] has a pvalue of 0.1335

1 - 0.1335 = 0.8665

The probability that the sample mean would be at least $39000 is of 0.8665 = 86.65%.

a golfer hits a ball with an initial velocity of 120ft/sec so that its path as it leaves makes a 23 ° angle with the horizontal. About how long will it take for the ball to hit the ground?

Answers

Answer:

the time taken for the ball to hit the ground is 9.4s

Shannon is creating a scale drawing of her classroom. If she is using the scale 1/2 inch = 1 foot and the room model is 10 inches by 15 inches, what are the dimensions of the actual room. Please help me!

Answers

Answer:

30 foot by 20 foot

Step-by-step explanation:

1 inch = 10 inch

2 foot = d foot

Cross products: 1xd=2x10

d=20foot

1 inch = 15 inch

2 foot = d foot

Cross products: 1xd=2x15

d=30foot

please please i need help i did not understand it

Answers

V=l*w*h
5600=35*8h
Multiply 35 times 8, which you’ll get 280
5600=280h
Divide both sides
5600/280=280h/280
20=h
Therefore h=20ft is your answer <3

Answer:

h = 20 ft

Step-by-step explanation:

Given,

Volume = 5600 sq.ft

Length = 35 ft

Width = 8 ft

Therefore,

By the problem,

[tex]height = \frac{volume}{length \times width} [/tex]

[tex] = > h = \frac{5600}{35 \times 8} ft[/tex]

=> h = 20 ft (Ans)

Help me with this please

Answers

when I did this it was C for me

What is the perimeter of a triangle with side lengths of 5 cm, 8 cm, and 9 cm?

9 cm
22 cm
13 cm
30 cm

Answers

The answer is 22 cm, you just add up all the sides when doing perimeter

Mr Baxter deposits 2,000 in an account that earns %5 simple interest how much is mr Baxter investment after 8 years?

Answers

Answer:

$2,800

Step-by-step explanation:

The formula for simple interest is I = PRT, where I is the interest (earned or paid), P is the principal amount invested/borrowed, R is the rate in decimal form, and T is the time in years.

I = (2000)(0.05)(8)

I = $800

Then we add that to the principal to get $2,800

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

Joey made a deposit into an account that earns 6% simple interest. After 3 years, Joey earned $400. How much was Joey's initial deposit?

I = PRT

400 = P(0.06)(3)

400 = 0.18P

P = $2,222. 22

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

Peter is calculating the interest earned on a deposit of $275 in an account that earns 8% simple interest after 12 years. What is the ??? guessing interest earned?

I = PRT

I = (275)(0.08)(12)

I = $264

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

Neil's grandmother has left him a small inheritance of $6,000. Neil would like to invest it at a rate of 5% interest. What is the simple???

I = PRT

I = (6000)(0.05)(T)

Please let me know if you have questions, or want to fill in the missing information on questions 3 & 4.

A polygon has a perimeter of 36 inches. Each side is exactly 6 inches long. Which of the following figures does this describe?
A. Rectangle
B. Square
C. Regular Octagon
D. Regular hexagon

Answers

Ist b hope that helps have a good day I’ll see

Quick help what is 4 2/9 divided by 1/3

Answers

Answer:

[tex]12\frac{2}{3}[/tex]

Step-by-step explanation:

HELP ASAP PLEASE NO LINKS

Question 1(Multiple Choice Worth 3 points)
(07.04)
The solution to 6x = 48 is x =
05
06
07
08

Answers

Well the answer would be 8 as the total sum would be 6 x (8) = 48

value of 180 when b = 4

Answers

Answer:

the answer is 45

Step-by-step explanation:

(180/4)=45

What is the solution for the equation?

Negative five-halves = three-fourths + n
n = Negative StartFraction 13 over 4 EndFraction
n = negative start Fraction 7 over 4 EndFraction
n = StartFraction 7 over 4 EndFraction
n = StartFraction 13 over 4 EndFraction

Answers

Answer:

n=-13/4 because you subtract 3/4 from -5/2

Step-by-step explanation:

Answer:

its a

Step-by-step explanation:

did it on my test edge

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