1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
crimeas [40]
3 years ago
7

Three of these expressions give the distance between point A and point B on the number line

Mathematics
1 answer:
frutty [35]3 years ago
6 0

Answer:

Option A does not give the right expression.

Step-by-step explanation:

On the number line if there are two points P(a) and Q(b) given by coordinates a and b, then the distance between those two points will be given by  

d = |a - b| ......... (1)

which is independent of the position of the points.

Therefore, if point A is at - 3.5 and point B is at 7.5, then the distance between point A and point B will be given by  |7.5+3.5| or |- 3.5-7.5| or |7.5-(-3.5)|, but not by  |7.4-3.5|.

Hence, option A does not give the right expression. (Answer)

You might be interested in
PLEASE HELP ASAP!! Ben worked 6 hours at x dollars per hour. Julie worked 9 hours and earned twice as much as Ben per hour. Phil
krok68 [10]

Answer:

A

Step-by-step explanation:

Given that Ben worked 6 hours at x dollars per hour. That is,

Ben earns = 6x

Julie worked 9 hours and earned twice as much as Ben per hour. That is,

Julie earns = 9 × 2x = 18x

Phil worked 16 hours and earned 3 dollars an hour less than Julie

That is,

Phil earns = 16 × ( 2x - 3 )

= 32x - 48

Total wages = 6x + 18x + 32x - 48

Total wages = 56x - 48

Option A is therefore the best option which is the answer to the question.

4 0
3 years ago
2. Sammie has 3 feet of ribbon. She is making bows for her friends that each use of 1/3 of a foot
lilavasa [31]

Answer:

Sammy can make 9 bows.

Step-by-step explanation:

3 feet of Ribbon

1/3 for each bow

1/3 + 1/3 +1/3  = 3/3 or 1 so she can make 3 bows out of one foot of ribbon

so if you repeat this than  you should get 9 bows out of three feet of ribbion.

3 0
2 years ago
If three parallel lines are cut by a transversal and one angle is measured to be 90 degrees, what can be said of the remaining?
V125BC [204]

Answer: A. There all 90 degrees


Step-by-step explanation:

Given: Three parallel lines are cut by a transversal and one angle is measured to be 90 degrees.

We know that if two lines cut by transversal the following pairs are equal:

  • Vertically opposite angles.
  • Corresponding angles.
  • Alternate interior angles.
  • Alternate exterior angles.

If one angles measures 90°, then its supplement would be 90°.

Then by using above properties , we will get measure of all angles as 90°.



8 0
3 years ago
Read 2 more answers
What numbers multiplie to equal -30 but add to equal -1
VashaNatasha [74]

Answer:

5 and -6.

Step-by-step explanation:

When you add 5 and -6, you get -1. When they are multiplied, you get -30. I just did this by finding all of the factors that went into 30 and making one negative.

5 0
3 years ago
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Vinil7 [7]

Answer:

a)

X[bar]_A= 71.8cm

X[bar]_B= 72cm

b)

M.A.D._A= 8.16cm

M.A.D._B= 5.4cm

c) The data set for Soil A is more variable.

Step-by-step explanation:

Hello!

The data in the stem-and-leaf plots show the heights in cm of Teddy Bear sunflowers grown in two different types of soil (A and B)

To read the data shown in the plots, remember that the first digit of the number is shown in the stem and the second digit is placed in the leaves.

The two data sets, in this case, are arranged in a "back to back" stem plot, which allows you to compare both distributions. In this type of graph, there is one single stem in the middle, shared by both samples, and the leaves are placed to its left and right of it corresponds to the observations of each one of them.

Since the stem is shared by both samples, there can be observations made only in one of the samples. For example in the first row, the stem value is 5, for the "Soil A" sample there is no leaf, this means that there was no plant of 50 ≤ X < 60 but for "Soil B" there was one observation of 59 cm.

X represents the variable of interest, as said before, the height of the Teddy Bear sunflowers.

a) To calculate the average or mean of a data set you have to add all observations of the sample and divide it by the number of observations:

X[bar]= ∑X/n

For soil A

Observations:

61, 61, 62, 65, 70, 71, 75, 81, 82, 90

The total of observations is n_A= 10

∑X_A= 61 + 61 + 62 + 65 + 70 + 71 + 75 + 81 + 82 + 90= 718

X[bar]_A= ∑X_A/n_A= 218/10= 71.8cm

For Soil B

Observations:

59, 63, 69, 70, 72, 73, 76, 77, 78, 83

The total of observations is n_B= 10

∑X_B= 59 + 63 + 69 + 70 + 72 + 73 + 76 + 77 + 78 + 83= 720

X[bar]_B= ∑X_B/n_B= 720/10= 72cm

b) The mean absolute deviation is the average of the absolute deviations of the sample. It is a summary of the sample's dispersion, meaning the greater its value, the greater the sample dispersion.

To calculate the mean absolute dispersion you have to:

1) Find the mean of the sample (done in the previous item)

2) Calculate the absolute difference of each observation and the sample mean |X-X[bar]|

3) Add all absolute differences

4) Divide the summation by the number of observations (sample size,n)

For Soil A

1) X[bar]_A= 71.8cm

2) Absolute differences |X_A-X[bar]_{A}|

|61-71.8|= 10.8

|61-71.8|= 10.8

|62-71.8|= 9.8

|65-71.8|= 6.8

|70-71.8|= 1.8

|71-71.8|= 0.8

|75-71.8|= 3.2

|81-71.8|= 9.2

|82-71.8|= 10.2

|90-71.8|= 18.2

3) Summation of all absolute differences

∑|X_A-X[bar]_A|= 10.8 + 10.8 + 9.8 + 6.8 + 1.8 + 0.8 + 3.2 + 9.2 + 10.2 + 18.2= 81.6

4) M.A.D._A=∑|X_A-X[bar]_A|/n_A= 81.6/10= 8.16cm

For Soil B

1) X[bar]_B= 72cm

2) Absolute differences |X_B-X[bar]_B|

|59-72|= 13

|63-72|= 9

|69-72|= 3

|70-72|= 2

|72-72|= 0

|73-72|= 1

|76-72|= 4

|77-72|= 5

|78-72|= 6

|83-72|= 11

3) Summation of all absolute differences

∑ |X_B-X[bar]_B|= 13 + 9 + 3 + 2 + 0 + 1 + 4 + 5 + 6 + 11= 54

4) M.A.D._B=∑ |X_B-X[bar]_B|/n_B= 54/10= 5.4cm

c)

If you compare both calculated mean absolute deviations, you can see M.A.D._A > M.A.D._B. As said before, the M.A.D. summary of the sample's dispersion. The greater value obtained for "Soil A" indicates this sample has greater variability.

I hope this helps!

7 0
3 years ago
Other questions:
  • 3(x-1)=4(1+x)+5 what is the value of X
    8·1 answer
  • a number is decreased by seven. then the new number multiplied by 3 to get a answer of-9 what is the orginal number
    11·1 answer
  • These two Scalene triangles are similar with a scale of 5:2. What is true about these figures?
    13·2 answers
  • Graph the equations to solve the system. y= 2x+5 an 1/2y = x+5/2
    5·1 answer
  • Amanda's employer deducts $350 from her paycheck each month for her family's health insurance plan. Jer gross monthly salary is
    11·2 answers
  • Q1) In a right tringle the hypotenuse is 5, the one of the legs is 3, find the other leg.
    12·2 answers
  • Michael’s class 27 adults and 63 kids on their field trip. Emily’s class had 20 adults and 70 kids on their trip. Both Michael &
    10·2 answers
  • Help solve these problems
    13·1 answer
  • :) (8x2 + 7y2 – z2 + 2yz + 3xz - 5xy) (2x – 3y) slove this in vertical method​
    10·1 answer
  • James has organised a game to raise money for charity at a local He rolls a fair six-sided dice and flips a fair coin. If the co
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!