I'll give brainliest if you show your work.
Jeremy surveyed students in his class about their spending habits in the school cafeteria. He used the data to create a scatterplot.
How Students Spend Money in the Cafeteria
Which is the equation of his trend line?
y= 2.75x
y= 3.05x- 0.6
y= 3.25x- 1
y= 9.75x- 14
Answers
Answer:
[tex]y=3.25x-1[/tex]
Step-by-step explanation:
step 1
Find the slope
we have the points
(2,5.5) and (5,15.25)
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
substitute
[tex]m=\frac{15.25-5.5}{5-2}[/tex]
[tex]m=\frac{9.75}{3}=3.25[/tex]
step 2
Find the equation of the line in slope intercept form
y=mx+b
we have
[tex]m=3.25\\point\ (2,5.5)[/tex]
substitute
[tex]5.5=3.25(2)+b[/tex]
solve for b
[tex]b=-6.5+5.5=-1[/tex]
therefore
[tex]y=3.25x-1[/tex]
Answer: c
Step-by-step explanation:
Related Questions
Amber completed a 25-kilometer road race in 3 hours. She ran at the same speed and covered the same distance each hour. Between which 2 whole numbers does the distance she ran each hour lie? Draw a visual model to find the distance she ran each hour.
You don’t have to do the last part but it’d be great if you did
Answers
The distance she ran each hour is between 8 and 9
How to determine the whole numbers?The distance is given as:
Distance = 25 km
The time is given as:
Time = 3 hours
The speed is then calculated as:
Speed = Distance/Time
So, we have:
Speed = 25km/3 hours
Divide
Speed = 8.33 km/hr
8.33 is between 8 and 9
Hence, the distance she ran each hour is between 8 and 9
Read more about speed at:
https://brainly.com/question/4931057
1. The lengths, in centimeters, of nine earthworms are shown below.
3, 4, 5, 5, 6, 7, 8, 9, 10
What is the median of the data?
A)5
B)6
C)7
D)8
2. Which measure of central tendency is MOST EASILY affected by outliers?
A) mean
B) median
C) mode
D) IQR
3. The math test scores of Mrs. Hunter's class are shown below.
48, 56, 68, 72, 72, 78, 78, 80, 82, 84, 88, 88, 88, 90, 94, 98, 100
What is the range of the scores?
A) 44
B) 52
C) 54
D) 62
4. The heights (in inches) of 13 plants are 6, 9, 10, 10, 10, 11, 11, 12, 12, 13, 14, 16, and 17.
What is the interquartile range of this data set?
A) 3.5
B) 6
C) 10.5
D) 11
Answers
3, 4, 5, 5, 6, 7, 8, 9, 10
The median of the data, will be the middle number. From the data shown the middle number is:
B] 6
2. The mean is more affected by outliers since it takes into account all the values in a given set of data. Thus existence of outliers will greatly affect the mean. Hence the correct answer is A]
3. Given the math test scores of Mrs. Hunter's class, the range is given by:
Range=(maximum value)-(minimum value)
thus:
Maximum value=100
Minimum value=48
therefore plugging in the formula:
Range=100-48=52
Answer: B]
4. From the given heights of 13 plants:
6, 9, 10, 10, 10, 11, 11, 12, 12, 13, 14, 16,17.
The IQR is given by:
IQR=(upper quartile)-(lower quartile)
upper quartile=(14+13)/2=13.5
lower quartile=(10+10)/2=10
thus
IQR=13.5-10=3.5
Answer:
A]3.5
Select from the drop-down menu to correctly complete the statement.
Triangle ABC and triangle DEC are
Answers
Answer:
Not similar
Step-by-step explanation:
In triangle DEC, using the angle sum property, we get
∠D+∠E+∠C=180°
⇒∠D+15°+94°=180°
⇒∠D=180-109
⇒∠D=71°
Also, from triangle ABC, we have
∠A+∠C+∠B=180°
⇒38°+94°+∠B=180°
⇒∠B=48°
Now, From triangle ABC and CDE, neither the angles nor the sides are similar, therefore the given triangles cannot be similar.
Choosing a graph to fit a narrative
Answers
I WILL GIVE BRAINLEST. Use the irregular polygon below. show all work.
a. find the perimeter.
b. find the area.
Answers
To measure the distance from the U.S. to Istanbul, Turkey you would most likely use __________.
Answers
1. The United States System using miles
2. The Metric System using kilometers
However, the best answer to the question is MILES, because you would use miles to find the distance when traveling.
Angle of rotation(including direction of rotation)
Answers
Ken has 6 different colors of marbles he has 9 marbles of each color how many marbles does Ken have in all
Answers
Final answer:
Ken has a total of 54 marbles in all.
Explanation:
To calculate the total number of marbles Ken has, we need to multiply the number of colors of marbles by the number of marbles of each color. Ken has 6 different colors of marbles and 9 marbles of each color. To find the total, we perform the multiplication:
6 colors imes 9 marbles per color = 54 marbles.
Hence, Ken has a total of 54 marbles in all.
Piper bought 5 movie tickets and 1 bottle of water. She spent $28. The water cost $3. How much did each ticket cost. Write an equation to solve the problem and answer the question.
Answers
5x5=25
Each movie ticket cost $5
What is the quotient of the complex number 4-3i divided by its conjugate ?
Answers
Answer:
Quotient is[tex]\frac{7-24i}{25}[/tex]
Step-by-step explanation:
Given is a complex number as 4-3i
We have to find the quotient when divided by its conjugate
Its conjugate is
[tex]4+3i[/tex]
When divided we have
[tex]\frac{4-3i}{4+3i} =\frac{4-3i}{4+3i} \frac{4-3i}{4-3i}[/tex]
(to simplify the above)
=[tex]\frac{(4-3i)^2}{4^2+3^2} \\=\frac{7-24i}{25}[/tex]
Quotient is [tex]\frac{7-24i}{25}[/tex]
Answer:
7/25 - 24/25i
Step-by-step explanation:
A bag contains 4 red, 3 yellow, 3 blue, and 2 white marbles, for a total of 12 marbles. If Lucia randomly picks two marbles from the bag without putting the first marble back, what is the probability that the first marble is red and the second is white?
Answers
[tex] |\Omega|=12\cdot11=132\\
|A|=4\cdot2=8\\\\
P(A)=\dfrac{8}{132}=\dfrac{2}{33}\approx6\% [/tex]
Answer:
2/33
Step-by-step explanation:
In the diagram l//m.You also know that 3=~4 because vertical angles are congruent.Which of the following statement can be used to help show that ABC is similar to EDC
Answers
Angle 1 is congruent to angle 5 because they are alternate interior angles (assuming AB || DE)
They are on the inside of the parallel train tracks. By "train tracks" I mean the horizontal lines AB and DE. So they are considered interior angles. They are on alternate sides of the transversal AE. Angle 1 is on the right side while angle 5 is on the left side. These two facts are why they are considered alternate interior angles.
Please help use the diagram of the right triangle above
Answers
TanB = b / a
We clear the value of b:
b = a * TanB
Substituting the values we have:
b = 10 * Tan (60)
b = 17.32 m
Answer:
b = 17.32 m
option a.
Jose decided to walk the 9 3/10 mi from his house to the beach. in the first hour he walked 3 4/5 mi. in the second hour he walked 2 9/10 mi. how much farther did he have to go?
Answers
8/10 + 9/10 = 1 7/10
3+2+1 7/10 = 6 7/10
9 3/10 - 6 7/10 = 2 6/10
9 3/10= 93/10
3 4/5= 19/5
2 9/10= 29/10
Ok so 19/5 + 29/10 is 67/10
67/10 - 93/10= 13/5.
13/5 or 2 3/5 is the answer, good luck, hope this helped, and STAY SMART! =p
I need sambady help my to rate the question
Answers
Samantha works at a nursery where she pots plants. It takes her 1 1/2 hours to pot 12 plants. How many plants can Samantha pot in hour?
Answers
Samantha can pot 8 plants in one hour.
To calculate how many plants Samantha can pot in one hour, we need to determine the rate at which she pots plants. She currently pots 12 plants in 1 1/2 hours, which is equal to 1.5 hours.
To find the rate, we divide the number of plants by the number of hours:
12 plants /1.5 hours=8 plants per hour
Therefore, Samantha can pot 8 plants in one hour.
You are a coffee shop owner and want to calculate the usual amount of money made each day, but you know that Fridays bring in more than double the revenue of any other day. Which measure of central tendency should you use?
A. Median
B. Mean
C. Mode
D. Any of the above
Answers
~Mathlete12321~
Final answer:
A. Median
The median is the most appropriate measure of central tendency for a coffee shop owner to use to calculate the usual daily revenue, as it is not skewed by the unusually high revenue on Fridays.
Explanation:
When considering which measure of central tendency to use for determining the usual amount of money made each day at a coffee shop, where Fridays bring in more than double the revenue of any other day, the best option would be the median. This is because the median is the middle point of the data distribution when the observations are ordered by their numerical values, and it is not affected by extreme values or outliers in the data.
The mean, or average, could be significantly skewed by the higher revenue on Fridays, thus not accurately depicting a typical day. The mode is the most frequently occurring value in the distribution, which may not be applicable to this situation unless you have multiple days with the exact same revenue.
Therefore, the median is most appropriate for this scenario as it is not influenced by the high revenue on Fridays and will provide a better indication of what a typical day's earnings might look like.
In what quadrant does point R lie?
A.
Quadrant I
B.
Quadrant II
C.
Quadrant III
D.
Quadrant IV
Answers
Answer:
Option: D
Point R lie on the Quadrant IV (i.e. quadrant fourth)
Step-by-step explanation:
Clearly from the given graph the point R lie on the fourth quadrant as the fourth quadrant is defined as the region such that any point on it with the given coordinates ; the x-value of any point is positive and y-value of any point is negative.
The coordinates of Point R from the given Graph has coordinates (5,-5).
Hence point R lie on the fourth quadrant.
Hence option D is correct.
Match the pre-image, and its clockwise rotation, with the coordinates of its image. 1. (5, 2); 90° (-2, -5) 2. (5, 2); 180° (2, -5) 3. (5, 2); 270° (-2, 5) 4. (-5, 2); 90° (5, 2) 5. (-5, 2); 180° (-5, -2) 6. (-5, 2); 270° (2, 5) 7. (-2, 5); 90° (-5, 2) 8. (5, -2); 180° (5, -2)
Answers
2. (-5,-2)
3. (-2,5)
4. (2,5)
5. (5,-2)
6. (-2,-5)
7. (5,2)
8. (-5,2)
Each 90° clockwise turn takes a point (x,y) and transforms it to (y,-x). For a 180° turn you would do this process twice in a row; for a 270° turn, three times in a row.
Answer:
(2,5) = (-5,2); 90°
(2,-5) = (5,2); 90°
(-2,-5) = (-5,2); 270°
(5,-2) = (-5,2); 180°
(-2,5) = (5,2); 270°
(5,2) = (-2,5); 90°
(-5,2) = (5,-2); 180°
(-5,-2) = (5,2); 180°
Each 90° clockwise turn takes a point (x,y) and transforms it to (y,-x). For a 180° turn you would do this process twice in a row; for a 270° turn, three times in a row.
Hope this helps!
∵∅Levi∅∵
∵ФωФ∵
Alcia received a $75 gift certificate for her birthday. She went to a boutique to buy some T- shirts at $7 each and some socks for $2.50 a pair. If T represents the number of T-Shirts, and S represents the number of pairs of socks she bought, write an inequality that would determine the number of T-shirts and pairs of socks she could buy. HURRY PLEASE
Answers
T represents the number of T-Shirts
S represents the number of pairs of socks she bought
Each T-shirt cost $7, so 'T' T-Shirts will cost 7T
Each Pairs of socks cost $2.5, so 'S' pair of socks cost 2.5S
[tex] Total \; cost\; =\; T-shirts \; cost \; +\; Pair \; of \; socks\; cost \\ \\ Total \; Cost \; =\; 7T+2.5S\\ \\ [/tex]
Total cost should be less than or equal to 75 dollars.
Conclusion:
The inequality that would determine the number of T-shirts and pairs of socks she could buy is given below:
[tex] 7T+2.5S\leq 75 [/tex]
All colors of light are bent the same amount as they move from one material to another.
A) Always true.
B) Always false.
C) True, if you change bent to absorbed.
D) False, each color bends a different amount.
Answers
a rectangular photograph is 4 inches wide and 6 inches long. The photograph is enlarged by increasing the length and width by an equal amount. If the area of the new photograph is twice as large as the oringinal area, what are the dimensions of the new photograph?
Answers
4*6= 24
The new area is 24*2 =48
So the dimensions is 6*8
Select the graph of the solution. Click until the correct graph appears.
|x| = 3
Answers
The bars around x stand for absolute value, which is defined as the distance a number is from 0. We want to know what number or numbers is/are 3 units away from 0 on a number line; the only choices are 3 or -3.
This means we must plot points at -3 and 3. They must be solid points, since these numbers are included in the solution (they are, in fact, the only ones of the solution).
Answer:
First picture
Step-by-step explanation
the graph with the open circle on -3 and 3 and pointing to the opposite to each so -3 the arrow is pointing this way <----- for 3 the arrow is pointing this way ------->
What is the 32nd term of the arithmetic sequence where a1 = −33 and a9 = −121? −396 −385 −374 −363
Answers
The formula to find the general term of an arithmetic sequence is,
[tex] a_{n} =a_{1} +(n-1)d [/tex]
Where [tex] a_{n} [/tex]= nth term and
[tex] a_{1} [/tex] = First term.
Given, a9 = −121. Therefore, we can set up an equation as following:
[tex] -33+(9-1)d = -121 [/tex] Since, a1 = -33
- 33 + 8d = -121
-33 + 8d + 33 = -121 + 33 Add 33 to each sides of the equation.
8d = -88.
[tex] \frac{8d}{8} =\frac{-88}{8} [/tex] Divide each sides by 8.
So, d = - 11.
Now to find the 32nd terms, plug in n = 32, a1 = -33 and d = -11 in the above formula. So,
[tex] a_{32} = -33 +(32 -1) (-11) [/tex]
= -33 + 31 ( -11)
= - 33 - 341
= -374
So, 32nd term = - 374.
Hope this helps you!
Simplify 4 sqrt 6 / sqrt 30 by rationalizing the denominator. Please show steps.
Answers
so it basically looks like
4√6
¯¯
√30
?
then you multiply both sides by √30
4√6 x √30 = 4√180 which simplified = 24√5
√30 x √30 just equals 30
so the answer is
24(√30) / 30
simplified = 4(√5) / 5
Hope this helps!!
~Girlygir101~
24√5/√30 is the simplified form of the expression 4√6/√30
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 4√6/√30
We have to rationalizing the denominator.
Multiply numerator and denominator by √30
4√6/√30 × √30/√30
4√6×30/30
4√180/30
4.6√5/√30
24√5/√30
Hence, 24√5/√30 is the simplified form of the expression 4√6/√30
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ2
A cylinder has a volume of 136 cubic centimeters. What is the volume of a cone with the same height and the same diameter
Answers
V_cone = 1/3 pi r^2 h. If that's the case the only difference is that the Cone's volume is 1/3 that of the cylinder
V_cone = 1/3 V_cylinder
V_cone = 1/3 136 cubic cm.
V_cone = 45.33 cubic cm.
what can you conclude about the equations y=5/4x-10 and 5x-4y=40
Answers
5x - 4y = 40
Let's rewrite the second equation to y = mx + b form
5x - 4y = 40
subtract 5x from both sides
-4y = -5x + 40
divide both sides by - 4
y = 5/4x - 10
What can you conclude about the equations?
Well, it's the same thing just written in slope-intercept form and standard form.
Hope this helps
A 15 oz can of peaches costs $1.99 and a 24 oz can of peaches cost $2.55. How much is the price per ounce of the 15 oz can of peaches
Answers
=$1.99 ÷ 15 ounces
=$0.13
The price per ounce of the 15 ounce can is $0.13.
Hope this helps! :)
a) Wilma used to make 10.50 per hour, but then she got an 8% raise. How much does Wilma make per hour now?
1) $11.00
2) $11.14
3) $11.34
4) $11.54
b) You went to the store and bought some DVDs. The cost of the DVDs was 45.80. The sales tax is 5%. How much is your total cost?
1) $48.09
2) $48.19
3) $48.29
4) $48.39
c) What is 2/3 of 30?
1) 10
2) 15
3) 20
4) 25
d) Arrange in order from least to greatest: 1/2, 3/4, 5/7, 13/14
1) 1/2 < 3/4 < 5/7 < 13/14
2) 1/2 < 5/7 < 3/4 < 13/14
3) 3/4 < 5/7 < 13/14 < 1/2
4) 13/14 < 1/2 < 3/4 < 5/7
e) Which property is demonstrated by this equation? 3(1 + 2) = (1 + 2)3
1) Commutative property
2) Associative property
3) Distributive property
f) Which property is demonstrated by this equation? 2 + 3 = 3 + 2
1) Commutative property
2) Associative property
3) Distributive property
g) Which property is demonstrated by this equation? 3 • (1 • 2) = (3 • 1) • 2
1) Commutative property
2) Associative property
3) Distributive property
please answer fast
Answers
If a number is added to itself and the sum is multipled by 2 , the product is 4
Answers
1 + 1 = 2
2(2) = 4
1 is your answer
hope this helps