Answer:
(A) The 25th percentile is 20.
(B) The mean of the data set is 20 and the median of the data set is 25. The data set is left-skewed.
Step-by-step explanation:
The data set arranged in ascending order is:
S = {15, 20, 22, 25, 28, 40, 55}
(A)
Compute the 25th percentile as follows:
[tex]25^{th} \text{Percentile}=[\frac{n+1}{4}]^{th}obs.\\\\=[\frac{7+1}{4}]^{th}obs.\\\\=2^{nd}obs.\\\\=20[/tex]
Thus, the 25th percentile is 20. This value implies that exactly 25% of the observations are less than 20.
(B)
Compute the sample mean as follows:
[tex]\text{Mean}=\frac{22+25+20+15+40+55+28}{7}=\frac{205}{7}=29.29[/tex]
Compute the median as follows:
For a set with odd number of observations, the median value if the middle value.
The middle value is 25.
Thus, the mean of the data set is 20 and the median of the data set is 25.
The Mean < Median.
This implies that the data set is left-skewed.
2.2.PS-16
Challenge Schools A and B are competing in an academic contest. Correct answers earn 9 points.
Incorrect answers lose 2 points. In the final round, School A gives the same number of correct and
incorrect answers. School B gives no incorrect answers and the same number of correct answers as
School A. School A started the final round with 62 points. School B started with 24. The game ends
with the two schools tied. Let x represent the number of correct answers given by School A in the final
round. Write an equation that models the outcome of the contest. Then find the number of answers
that each school got correct in the final round.
Which equation models the scoring in the final round and the outcome of the contest?
OA. 9x + 2x - 62 = - 9x + 24
OB. 2x-9x + 62 = 9x + 24
OC. 9x - 2x - 62 = 9x + 24
OD. 9x - 2x + 62 = 9x + 24
Answer:
9x - 2x + 62 = 9x + 24
Number of correct answer each obtained = 19
Step-by-step explanation:
Given that:
Number of correct answers = x
POINTS for correct answers = 9
POINTS for incorrect answers = - 2
SCHOOL A:
Number of correct answers = x
Number of incorrect answers = x
Initial point = 62
Initial point + 9(number of correct answers) + - 2(number of incorrect answers)
62 + 9x - 2x
SCHOOL B :
Number of correct answers = x
Number of incorrect answers = 0
Initial point = 24
Initial point + 9(number of correct answers) + - 2(number of incorrect answers
24 + 9x
Since they end up tied :
School A = School B
62 + 9x - 2x = 24 + 9x
9x - 2x + 62 = 9x + 24
Number of correct answers gotten :
9x - 2x + 62 = 9x + 24
7x + 62 = 9x + 24
7x - 9x = 24 - 62
-2x = - 38
x = 19
Hence, Number of correct answers each obtained = 19
A designer plans to create a new pattern of stitching a triangular piece of fabric shown in the figure above. She will stitch fabric in a straight line from the vertices of the triangle to the circumcenter of the triangle, located at point C, and then stitch an additional line of fabric back from the circumcenter to each vertex. How much fabric, in inches, will she need in total to create the design? (Note: Answer should be a whole number.)
Answer:
54
Step-by-step explanation:
The circumcenter is the middle to each vertex. So since they gave you 9 in. and you have to go back and forth on each line, that is 18 in. per line. Considering there are three lines, add all of them together (Or multiple 18 by 3) to get 54 in.
Any other Prepworks questions? :)
The two boxes shown are cuboids.
20 cm
4 cm
30 cm
3 cm
50 cm
10 cm
Work out how many of the smaller boxes you would need
to completely fill the larger one.
Answer:
250.
The area of the larger box is 30,000 cm squared. Once you find the total area of the small box, divide that by the area of the larger box and you have your answer.
Answer:
205
Step-by-step explanation:
00:00 The product of 64 and 13 can be rewritten as the sum of two products. Which expression is equal to 64 x 13? A. (60 x 13) + (60 x 4) B. (10 x 60) + (4 x 3) O C. (60 x 13) + (4 x 13) O D. (60 x 1) + (60 x 4)
Answer:
∴ The expression which is equal to 64 x 13 is (60 × 13) + (4 × 13) ⇒ C
Step-by-step explanation:
The product of two numbers can be put in the form of the sum of two products by using this rule, m × n = (a × n) + (b × n), where m = a + b
Let us solve the question using this rule
∵ We need to put 64 × 13 as the sum of two products
→ Let m = 64 and n = 13
∵ m = 64 and n = 13
∵ 64 = 60 + 4
∴ a = 60 and b = 4
→ By using the rule above
∵ m × n = (a × n) + (b × n)
∵ a = 60, b = 4, and n = 13
∴ 64 × 13 = (60 × 13) + (4 × 13)
∴ The expression which is equal to 64 x 13 is (60 × 13) + (4 × 13)
10 lbs to 6 lbs need percentage
please give step by step
Answer:
10ibs=1000% 6ibs=600%
Step-by-step explanation:
Which best describes a polynomial?
Answer:
an algebraic expression containing one or more terms
Step-by-step explanation:
Ken prepared 12 kilograms of dough after working 2 hours. How many hours did Ken work if he prepared 36 kilograms of dough? Assume the relationship is directly proportional.
Answer:
36 Kilograms of Dough in 6 hours
Step-by-step explanation:
Each hour Ken prepares 6 kilograms of dough, and every 2 hours Ken prepare 12 kilograms of dough.
Recidivism occurs when a person continues to commit criminal behavior even after having been punished. A prison official wants to estimate the proportion of cases of recidivism. Examining the records of 250 convicts, the official determines that there are 65 cases of recidivism. Construct a 99% confidence interval for the proportion of cases of recidivism.A. (0.331, 0.567)B. (0.188, 0.332)D. (0.289, 0.431)E. (0.069, 0.111)
Answer:
Option (C) [0.2574 , 0.2626]
Step-by-step explanation:
Of 250 convicts, there are 65 cases of recidivism.
- Construct a 99% confidence interval for the proportion of cases of recidivism.
This calls for first finding the proportion of cases of recidivism. This will be 65/250 = 0.26
You are 100% confident that the proportion of cases of recidivism is 0.26
You will be 99% confident that the recidivism cases are between:
99% of 0.26 = 0.2574
1% of 0.26 = 0.0026
[0.26 - 0.0026] , [0.26 + 0.0026] = [0.2574 , 0.2626]
This should be OPTION C, as that option is missing in the list of options.
Write the expression in simplest form.
(-11/2 x + 3) -2(-11/4x-5/2)
Answer:
8
Step-by-step explanation:
(-11/2x +3) -2(-11/4x -5/2)
(-11/2x +3) +22/4x +10/2
-11/2x +3 +11/2x +5
8
3x + 6y = 42 and -7x + 8y = -109 solve by elimination
Answer:
Point Form
(15,-1/2
Equation Form
x=15 and y= -1/2
Step-by-step explanation:
HELP!!! use Gauss-Jordan elimination to solve the following linear system
-x+6y=20
-x+3y=8
I solved it using my calculator but you can also solve the matrix by hand.
which statement about 3/4 multiplied by 16/5 is true?
A. The product is greater than 5
B. The product is less than 3/4
C. The product is between 3/4 and 16/5
D. The product is between 16/5 and 5
Answer:
Option c
Step-by-step explanation:
3/4 multiplied by 16/5
3/4×16/5
12/5
Option c is correct
The product between 3/4 and 16/5
How many solutions will there be to the following equation?
16x2 = 100
a. more than 2 solutions
b.
no solution
c. 1 solution
d. 2 solutions
Answer:
d. 2 solutions
+5/2,-5/2
Step-by-step explanation:
16x^2 = 100
x^2=100/16
x^2=25/4
X=√25/4
X=. +5/2,-5/2
So the answer is +5/2,-5/2
Evaluate the expressions using the distributive property. ⅔(-7) + ⅔(-5)
whats 9+10 ??????????????????????
Answer:
19
Step-by-step explanation:
yerreeer cause u add duh
The $199.99 camera Anne purchased was on sale for 25% off. What amount did Anne get off the price rounded to the nearest dollar?
Answer:
50 dollars
Step-by-step explanation:
199.99 x .25
Answer:
the answer is 50 dollars
If a quadratic polynomial has an absolute minimum at (-3,-5), what is the range of the polynomial?
Answer:
range: (-5, ∞)
domain: (-∞, ∞)
Step-by-step explanation:
given vertex, absolute minimum: (-3, -5)
Range look at y-value
(minimum, maximum) the -5 will be on the left of the comma b/c its the min
If this was a max, you would put the y-value on the right side of the comma
Check all apply 2x+2-9=5
Answer:
x=6
Step-by-step explanation:
2x=12 simplify and subtract
x=6
How many shelves did Andrew stock per hour?
Answer:
we dont have the info
Step-by-step explanation:
6x^2-19x+3=0
Find both of the x
Which of the following shows only multiples of 12
Answer:
there is no following
Step-by-step explanation:
Answer: 12,24,36,48,60,72,84,96,108,120,132,144
Step-by-step explanation:
Hope this helps. Could not see the image attached.
PLZ I WILL GIVE BRAINLISTS. Which is a exaplem of a negative number
1
9
-3
14
Answer:
-3
Step-by-step explanation:
because it has a negitve sign
Answer:
-3
look at this number line
________________________________
-4 -3 -2 -1 0 1 2 3 4
The numbers on the left side of the 0 are negative since they have a value below zero. This can be represented as a - (negative) sign
Step-by-step explanation:
Keep in mine this number line can continue forever meaning every possible number on the left side of the 0 is negative.
What is the slope-intercept form of a line that contains the point (-2,-11) with a slope=4?
PLZ HELP I ONLY HAVE 10 minutes left
Answer:
I believe its c.
Step-by-step explanation:
There using the equation mx+b=y. M is the slope(4), b is the y intercept (3).
Answer:
The correct choice is D.
Answer this please thanks
Answer:
No
Step-by-step explanation:
The first 3 boxes are proportional since they have a ratio of 1:3, but 6:21 is not proportional to the others.
Answer:
No it is not proportional.
Step-by-step explanation:
This is not proportional because
2 times 3 = 6
4 times 3 = 12
8 times 3 = 24
but,
6 times 3 = 18 not 21 so it is not proportional.
Hope this helped! Ask me any questions if needed!
The time taken by artisans A. B and C to do an
embroidery job is 15 hours, 18 hours, and 15 hours.
respectively. A, B, and C begin working together but
after 3 hours B is put on another job. How long will A
and C take to finish the embroidery job?
Answer:
3 hours 15mins
Step-by-step explanation:
in 1 hours time, A will complete 1/15 of the job, B will complete 1/18 and C 1/15.
After 3 hours, A completed 3/15 (aka 1/5) of the job, B 3/18 (aka 1/6) and C being the same as A.
total job done after 3 hrs is 1/5 + 1/6 + 1/5 which is 17/30 of the job
left: 13/30
in 1 hr, A and C will do 2/15 of the job (4/30)
therefore, no. of hours needed: 13/4 hours = 3.25 hours (3 hours 15mins)
Please answer this correctly without making mistakes
Answer:
Its too low
Step-by-step explanation:
plz mark brainliestʕ•ᴥ•ʔ
A high school marching band has 12 flute players. If 8% of the band members play the flute, then how many members are in the entire band?
Answer:
It is 150 players
Step-by-step explanation:
You just cross multiply and divide.
8. 12
---- = -----
100. x
12×100 = 1,200
1,200 ÷ 8 = 150
Hope this helps!
helppppp please will give brainlist
Answer:
D or answer 4 y=-5/2x+7
Step-by-step explanation:
Well we can first start of by finding the y-intercept.
Note that when x=0, you can find your y-intercept.
Knowing this, and looking at the table, 7 is the y-intercept because when y=7, x=0.
So we can eliminate choices 'a' and 'c,' or answers 1 and 3, because they have the y-intercept as -7, when it's just 7.
Please know that in the equation:
y = mx + b
y = y-coordinate or any given point
mx = slope
b = y-intercept
Now we must find slope
To find the slope we need to do:
(y2 - y1) / (x2 - x1) or rise/run
The two coordinates I choose to use is (0, 7) and (6, -8).
(-8 - 7) / (6 - 0) = -5/2
-5/2 is the slope
Finally, look for an equation that has 7 as the y-intercept and -5/2 as the slope.
Answer: D or answer 4
In a clinical trial of oxycodone, 16 subjects experience headaches among the 227 subjects treated with oxycodone. Construct a 95% confidence interval for the proportion of treated subjects who experience headaches. Provide both probabilistic and practical interpretations. (Hint: this is proportion problem).
Answer:
95% Confidence Interval = (0.037, 0.104)
Step-by-step explanation:
The formula for Confidence Interval if a proportion is:
p ± z × √p(1 - p)/n
z = z score of a 95% confidence interval = 1.96
p = proportion = x/n
x = 16, n = 227
p = 16/227
p = 0.0704845815
≈ 0.0705
Confidence Interval
= 0.0705 ± 1.96 × √0.0705(1 - 0.0705)/227
= 0.0705 ± 1.96 × √0.0002886773
= 0.0705 ± 0.0333013921
Confidence Interval
= 0.0705 - 0.0333013921
= 0.0371986079
≈ 0.037
= 0.0705 + 0.0333013921
= 0.1038013921
≈ 0.104
Hence, 95% Confidence Interval = (0.037, 0.104)
Cathy's food usually costs $212.90 a week. One week, it cost $198.98. How
much less money did she spend that week?
Answer:
$13.92
Step-by-step explanation: