Answer:
the correct answers are translation 12 units left and 180 degrees around the origin
Step-by-step explanation:
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Bay Side School Seaside School
8, 6, 5 0 5, 8
8, 6, 5, 4, 2, 0 1 0, 1, 2, 5, 6, 8
5, 3, 2, 0, 0 2 5, 5, 7, 7, 8
3 0, 6
2 4
Key: 2 | 1 | 0 means 12 for Bay Side and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
PLEASE HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Part A: To calculate the measures of center, we can find the median and the mean for each school.
For Bay Side School, the median class size is the average of the 8th and 9th values when the data is sorted in ascending order. The 8th and 9th values are both 25, so the median class size is 25.
To find the mean class size for Bay Side School, we can add up all the class sizes and divide by the total number of classes. The sum of the class sizes is 12 + 12 + 12 + 14 + 15 + 15 + 16 + 16 + 18 + 18 + 20 + 20 + 23 + 25 + 25 = 243. There are 15 classes, so the mean class size is 243/15 ≈ 16.2.
For Seaside School, the median class size is the average of the 8th and 9th values when the data is sorted in ascending order. The 8th and 9th values are both 15, so the median class size is 15.
To find the mean class size for Seaside School, we can add up all the class sizes and divide by the total number of classes. The sum of the class sizes is 10 + 10 + 10 + 11 + 12 + 15 + 15 + 16 + 17 + 17Part A (continued):
18 + 18 + 20 + 20 + 25 = 222. There are 14 classes, so the mean class size is 222/14 ≈ 15.9.
Therefore, the measures of center for Bay Side School are: median = 25, mean ≈ 16.2.
The measures of center for Seaside School are: median = 15, mean ≈ 15.9.
Part B: To calculate the measures of variability, we can find the range and the interquartile range (IQR) for each school.
For Bay Side School, the range is the difference between the largest and smallest class sizes. The largest class size is 25, and the smallest class size is 12, so the range is 25 - 12 = 13.
To find the IQR for Bay Side School, we need to find the first quartile (Q1) and the third quartile (Q3) of the data. From the stem-and-leaf plot, we can see that Q1 is 15 and Q3 is 20. Therefore, the IQR is 20 - 15 = 5.
For Seaside School, the range is the difference between the largest and smallest class sizes. The largest class size is 25, and the smallest class size is 10, so the range is 25 - 10 = 15.
To find the IQRPart B (continued): for Seaside School, we need to find the first quartile (Q1) and the third quartile (Q3) of the data. From the stem-and-leaf plot, we can see that Q1 is 12 and Q3 is 18. Therefore, the IQR is 18 - 12 = 6.
Therefore, the measures of variability for Bay Side School are: range = 13, IQR = 5.
The measures of variability for Seaside School are: range = 15, IQR = 6.
Part C: If you are interested in a smaller class size, Seaside School is a better choice because its measures of center are lower than those of Bay Side School, indicating that its class sizes tend to be smaller on average. Additionally, Seaside School has a smaller range and IQR, indicating less variability in class size. Therefore, there is less chance of encountering very large classes at Seaside School compared to Bay Side School.
Mackey invested some money in an account paying 6% interest for one year. She invested $1000 more than this amount in an account paying 8.5%. How much did she invest in total if the total interest earned in the year was $737.50?
Step-by-step explanation:
Let's assume the amount Mackey initially invested in the 6% account is x dollars.
According to the given information, Mackey invested $1000 more than x in the 8.5% account, which means she invested (x + $1000) dollars in that account.
The total interest earned from the 6% account would be 0.06x dollars, and the total interest earned from the 8.5% account would be 0.085(x + $1000) dollars.
The total interest earned in the year is given as $737.50, so we can set up the equation:
0.06x + 0.085(x + $1000) = $737.50
Simplifying the equation:
0.06x + 0.085x + 0.085($1000) = $737.50
Combining like terms:
0.145x + $85 = $737.50
Subtracting $85 from both sides:
0.145x = $737.50 - $85
0.145x = $652.50
Dividing both sides by 0.145:
x = $652.50 / 0.145
x ≈ $4500
Therefore, Mackey initially invested approximately $4500 in the 6% account, and she invested $1000 more, which means she invested a total of $5500.
$4500
$4500
$4500
$4500
Fezzik, the giant is berated by Vizzini, who says he is nothing more than a “landmass.” What evidence shows you that Vizzini is wrong, that Fezzik has value that extends beyond his large physique?
(The Princess Bride Movie)
Answer:
What evidence shows you that Vizzini is wrong, that Fezzik has ... Fezzik, the giant is berated by Vizzini, who says he is nothing more than a “landmass. ... wrong, that Fezzik has value that extends beyond his large physique?
Step-by-step explanation:
a/5 divided by 3a/10
if a doesnt equal to 0
Answer:
Step-by-step explanation:
format is if let variables a,b,c,d then, a/b is divided by c/d can be represented as (a*d)/(b*c) so, by this we have according to the question:
(a*10)/(5*3a) = 2/3
Can someone help me with this question!!
Answer:
8
Step-by-step explanation:
area = bh/2
32.4 yd² = 8.1 yd × s / 2
s = 8 yd
PLEASE HELP ASAP
Answer correctly
Answer:
62,100
Step-by-step explanation:
x-2y=3, x^2-2y=3, x^2-2xy+4y^2=11, find the value of x^2y-2xy^2
This is a system of three equations with two unknowns, x and y. To solve it, we can use the method of elimination. First, we can eliminate y by subtracting the first equation from the second equation:
x^2-2y=3 - (x-2y=3) => x^2-x=0
Then we can factor the resulting equation and find the values of x:
x^2-x=0 => x(x-1)=0 => x=0 or x=1
Next, we can substitute these values of x into any of the original equations and find the corresponding values of y. For example, using the first equation:
x-2y=3 => 0-2y=3 => y=-3/2 when x=0 x-2y=3 => 1-2y=3 => y=-1 when x=1
Finally, we can substitute these values of x and y into the expression x2y-2xy2 and evaluate it:
x2y-2xy2 => 02(-3/2)-2(0)(-3/2)2 => 0 when x=0 and y=-3/2 x2y-2xy2 => 12(-1)-2(1)(-1)2 => -3 when x=1 and y=-1
Therefore, the value of x2y-2xy2 can be either 0 or -3 depending on the values of x and y.
⋆ check image !!!!
⚝ the variability in the data for period 1 is [ ... ] the variability in the data for period 2 .
choices ...
✰ less than
✰ equal to
✰ greater than
PLEASE HELP!! no links, no unnecessary comments or i will take away points. IF SHOWN ON PAPER I WILL GIVE BONUS POINTS AND BRAINLEST THANK YOU!!
Answer:
(-3.5, 2)
Step-by-step explanation:
If you were to graph all the other points it would look like the picture below, so to complete the rectangle it has to be (-3.5,2)
m represent the money she earns, and let h represent the number of hours she works.
Answer:
100$
Step-by-step explanation:
H:5
M:20
If she works for 5 hours every hour will give her 20 dollars and if you multiply 5x20 you will get 100 dollers for her hard work.
pls help!!!!
Solve the equation for r. Show your work.
r-15=6
Answer:
r=21
Step-by-step explanation:
r-15=6
r=6+15
r=21
Answer:
21
Step-by-step explanation:
r-15=6
r-15=6
add 15 to both sides it cancels out left side
r=21
tere
PEDMAS?
Example 1:
3+8(4-2)-7
Parentheses First = 3+8(2)-7
Exponents-none
Multiply/Divide 3+16-7
Add/Subtract 19-7 = 12
Example 2:
32-(9-5)+7x3-8÷2
Parentheses 32-(4)+7x3-8÷2
Exponents 6-4+7x3-8÷2
Multiply/Divide 6-4+21-4
Add/Subtract 2+17=19
Review
Directions: Compute the answers using PEMDAS.
1) 7 x 5 + 3=
2) 8 - (6 + 2)=
3) 10 - 6 + 5=
4) (21 3) x 2=
5) (12 6) + 6=
6) 3 + 10 5=
7) 8 + 4 - 2=
8) 7 + 5 - 5=
9) 16 8 - 1=
10) (20 - 17) - 3=
11) 8 + 2 - 7=
12) 18 (4 + 2)=
13) 8 - 6 + 7=
14) 5 - (18 6)=
15) 2 + 13 - 4=
16) (7 - 4) + 3=
17) 9 - 7 + 4=
18) 2 x 6 3=
19) 15 5 + 4=
20) 8 + 6 - 4=
Answer:
1. 38
2. 0
3. -1
4. 14
5. 8
6. 5
7. 10
8. 7
9. 1
10. 0
11. 3
12. 2
13. 5
14. 3
15. 11
16. 6
17. 2
18. 4
19. 7
20. 10
Step-by-step explanation:
two years of local phone service costs 883, including the installation fee of 55. what is the monthly fee
Answer:
888
Step-by-step explanation:
Add the 55 and 833
833+55=888
7th grade math I'll give brainliest
Answer:
Step-by-step explanation:
Rise over run is the slope, m
m=2/5
a) the slope is 2/5 = .4 which is below the boundary guideline. So no this is not with in carpenter's guidelines
b) the image below show a line with slope 2/5 but with intercept 3
c) the stairs can be draw on the line with rise 2 run 5 from the line. see image
d)equation is in image
2.
a) count the squares
horizontal distance =3
vertical distance =3
b) slope is vertical distance over horizontal distance so m= 3/3 =1
What is the area of the figure below
Answer:224
Step-by-step explanation:
Okay as you can see, the figure is divided into 3 shapes. 2 rectangles and a right trapezoid.
You can solve the area of the rectangle on the far right by doing 9x6 leaving you with 54.
For the other rectangles you can do 11x12 equaling 132. I got 11 because you know the top is 17 and as you see at the bottom that length you used for the first rectangle is 6, so you do 17-6. You get 12 from adding 9+3.
For the right trapezoid the formula is A = ( a + b ) x h/2. So you can plug it in and say A=(12+7) x 4/2= 38.
You then add all the areas together (54+132+38= 224) leaving you with the answer of 224.
cassie is placing stickers on a page that is 12 inches long and 8 inches wide the sticker are 3 inches long and 2 inches wide
Answer:
To find the greatest number of stickers Cassie can place on a page that is 11 inches long and 8 inches wide without them overlapping, we need to use the same approach as before.
Firstly, we need to calculate the maximum number of stickers that can fit along the length of the page, which is now 11 inches. Since each sticker is 3 inches long, we can fit 3 stickers along the length (11 ÷ 3 = 3 with a remainder of 2).
Next, we can calculate the maximum number of stickers that can fit along the width of the page, which is still 8 inches. Since each sticker is 2 inches wide, we can fit 4 stickers along the width (8 ÷ 2 = 4).
To ensure that the stickers do not overlap, we can only use the full row of 3 stickers from the previous calculation. Therefore, we can place 3 stickers along the length and 4 stickers along the width, giving us a maximum of 12 stickers that Cassie can place on the page without them overlapping.
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
First, find out how much stickers you can put on the long side:
12/3 = 4
Next, find out how much stickers you can put on the wide side:
8/2 = 4
Lastly, calculate them together:
4x4=16
So the answer is 16.
Susie has 8 pieces of string. Each string measure 6.5 inches long, how many inches of string does she have in all?
Answer:
52
Step-by-step explanation:
8 times 6.5= 52
Answer:
She has 52 pieces of string in all.
Step-by-step explanation:
theres 2 questions, please answer will give brainliest
Answer:
1. 207.35
2. 153.94
Step-by-step explanation:
A fruit juice recipe calls for 2 parts orange juice and 8 parts pineapple juice. Which proportion can be used to find the amount of orange juice, j, that is needed to add to 18 L of pineapple juice?
2 over 8 equals j over 18
8 over 2 equals j over 18
8 over j equals 2 over 18
16 over 18 equals j over 100
The correct proportion to use to find the amount of orange juice, j, needed to add to 18 L of pineapple juice is:
2/8 = j/18
This proportion relates the ratio of orange juice to pineapple juice in the recipe (2:8) to the amount of orange juice needed to add to 18 L of pineapple juice. By cross-multiplying, we can solve for j as follows:
2/8 = j/18
218 = 8j
36 = 8*j
j = 36/8
j = 4.5
Therefore, you would need to add 4.5 L of orange juice to 18 L of pineapple juice to create the fruit juice recipe that calls for a ratio of 2 parts orange juice to 8 parts pineapple juice.
Answer:
2 over 8 equals j over 18Step-by-step explanation
2 over 8 equals j over 18
This proportion represents the ratio of orange juice to pineapple juice in the recipe. By setting up the proportion, we can solve for the value of 'j,' which represents the amount of orange juice needed.
So, the correct proportion is:
2 over 8 equals j over 18
look at the pic below
Answer: Read Below Please
Step-by-step explanation:
Split up 3 and 1/5 first.
3\(\frac{1}{5}\)x\(\frac{2}{3}\)=3x\(\frac{2}{3}\)+\(\frac{1}{5}\)x\(\frac{2}{3}\)
You solve that and you get:
\(\frac{6}{3}\)+\(\frac{2}{15}\)
6/3 is 2 then you add 2 + 2/15
The answer at the end would be 2\(\frac{2}{15}\).
Answer:
I tried myself and found it hard the teacher who gave you that I would ask for help on the questions your stuck on
Step-by-step explanation:
A scientist makes a graph of temperature versus time. Temperature will be plotted on the ______ axis.
Answer:
y-axis
Step-by-step explanation:
time is almost always plotted on the x-axis :)
Have a great day!!!
Temperature will be plotted on the x - axis.
⇒ X axis always represents the time.
Here,
A scientist makes a graph of temperature versus time.
We have to find the axis in which temperature will be plot.
What is temperature vs time graph?
In a time-temperature graph the x-axis represents time and the y-axis represents temperature.
Since, in any scientific work scientist measure the behavior of temperature with respect to time.
Therefore, for making the temperature vs time graph X axis always represents the time.
So, Temperature will be plotted on the x - axis.
To learn more about temperature vs time graph visit:
https://brainly.com/question/17508027
#SPJ2
ΔDEF is similar to ΔABC as shown below, and x represents the length of segment EF.
Which proportion can be used to find, x, the length of segment EF?
a. 2/5 = 6/x
b. 5/6 = x/2
c. 5/2 = 6/x
d. 6/5 = 2/x
I need help with this can you please help.↑↓
Answer:
O = 8
K = 0
L = 1
V = 7
I = 2
M = 4
H = 9
E = 6
T = 9
N = 5
Step-by-step explanation:
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 10 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Answer:
1) O = 8
2) K = 0
3) L = 1
4) V = 7
5) I = 2
6) M = 4
7) H = 9
8) E = 6
9) T = 9
10) N = 5
Step-by-step explanation:
Marta wants to prove that Figures A and A" are similar. What sequence of transformations could Marta perform to prove that the figures are similar? Write your answers in the blanks.
Translate figure A up ___ units.
Dilate figure A' by a scale factor of ___ with the canter or dilation at (___ , ___) to form figure A''.
Answer:
5 units up, dilate by scale of 1.5 with center of dilation at (0,3)
Step-by-step explanation:
Hope this helped!
I WILL GIVE BRAINLIEST ( hurry!1!! :[ )
b
Step-by-step explanation:
because I am not sure what to do with my life
For each ride, a taxi service charges an initial fee plus an additional fee based on the number of kilometers of the trip. The graph shows the cost for taxi rides. Select a true statement. The rise is 4 while the run is 2. The selection of answers are:
A: The slope is 2.1. This means that each kilometer costs $2.10.
B: The slope is 5. This means that each kilometer costs $5.
C: The y-intercept is 2.1. This means that the initial fee is $2.10.
D: The y-intercept is 5. This means that the ride lasts 5. kilometers.
Which one is right and why?
THIS MIGHT NOT BE WHAT YOU ARE LOOKING FOR AND MIGHT NOT BE CORRECT! READ FIRST!
The answer is A. The slope of the line is rise/run = 4/2 = 2.1. This means that each kilometer costs $2.10. The y-intercept is 2.1, which means that the initial fee is $2.10. So the correct statement is: The slope is 2.1. This means that each kilometer costs $2.10.
The other statements are incorrect. The slope is not 5, so each kilometer does not cost $5. The y-intercept is not 5, so the ride does not last 5 kilometers. The y-intercept is the value of the function when the input is 0, which in this case is the initial fee of $2.10.
Select ALL the correct answers.
Brandon goes to an ATM near his house and withdraws x dollars from his checking account. Since the ATM is not at the same bank where his checking account is, the bank charges a $2 fee for each transaction, which is withdrawn from his account in addition to the x dollars.
Brandon makes this same withdrawal at this same bank once a week for seven weeks. Which of the following expressions could represent the total amount withdrawn from Brandon's checking account during this time period from these ATM transactions?
(7)(x) + (7)(2)
7x + 9
7x + 14
7x + 2
(7)(x) + (7)(2x)
7(x + 2)
Answer:
(7)(x) + (7)(2) , 7x + 14 , 7(x + 2)
Step-by-step explanation:
Can someone help me and tell me what this is I dont get it
Answer:
of the First rectangle Is smaller than the second the factor Is greater than One , if the First and the second are the same the scale factor Is one, and of the First Is bigger than the second the factor Is less than one
so:
a greater
b greater
c less
D greater
e equal
f less
g equal
Answers in bold:
P to Q: greater than 1P to R: greater than 1Q to S: less than 1Q to R: greater than 1S to P: equal to 1R to P: less than 1P to S: equal to 1========================================================
Explanation:
We have these three rules for scale factors
scale factor > 1, enlarge the image0 < scale factor < 1, shrink the imagescale factor = 1, the preimage and image are identicalWith those rules in mind, we have enlargements for these transformations.
P to QP to RQ to RAll of which represent some scale factor larger than 1. We don't have enough information to pinpoint what that scale factor would be.
In other words, if you go from small to big, then you apply some scale factor larger than 1 to enlarge the image.
----------------
We also have these reductions
Q to SR to PThis is where we go from big to small. The image shrinks and we use some scale factor between 0 and 1.
----------------
And finally we have these transformations in which the size of the image does not change. Therefore the scale factor is 1.
P to SS to PThe order doesn't matter for this subset, but the order will matter for the other batches of transformations.
Use a number line to order the numbers from least to greatest.
Assign the numbers to the number line in the following order:
2.15=2.15
220%=2.2
9/4=2.25
*2.15* is easy enough to place as it is already in decimal form. However, the other 2 options need to be converted to decimals in order to be placed. We have the fraction 9/4 and percentage 220%. 9/4 can either be simply divided on a calculator or turned into the mixed fraction 2 and 1/4, which is *2.25*. Finally, we know that converting a decimal to a percentage we multiply the decimal by 100. Therefore, to convert a percentage to a decimal we divide 100 or move the decimal to the left 2 places. With this conversion rule, 220% transforms to *2.2* and we have the third and final number for our number line. Arranging these three numbers from least to greatest:
2.15, 2.2, 2.25
PLEASE HURRY This table shows how many t-shirts of each color Marcus has in his closet. If he chooses a T-shirt without looking, what is the probability that it will be white?
Answer:
3/30
Step-by-step explanation:
3/30 or 1/10 simplified