f(x) = 1-3x, x = 4 , x = 4+h
(a) find the net change of f(x):
f1= f(x=4) = 1-3(4) = 1 - 12 = -11
f2= f(x=4+h) = 1-3(4+h) = 1-12 + 3h = -11 - 3h
Net change = f2 - f1 = -11 -3h - -11 = -3h
(b) average rate of change = slope = (f2 - f1)/(x2-x1) = -3h/((4+h)-4 =-3
Hown below are the top 15 market research firms in the United States in 2014 according to the AMA Gold Top 50 Report. Compute the mean, median, P50, P40, P85, Q1, Q3, range, and the interquartile range on these data.
Company Sales ($ millions)
Nielson Holdings N.V. $3,194.3
Kantar 952.6
IMS Health Inc. 935.0
Ipsos 574.1
Westat Inc. 563.7
Information Resources, Inc. 504.0
GfK USA 334.5 comScore Inc. 202.7
The NPD Group Inc. 202.3
Symphony Health Solutions 196.5
J.D. Power and Associates 172.9
ICF International Inc. 172.0
Abt SRBI Inc. 155.7
Maritz Research 138.9
dunnhumbyUSA LLC 121.5
Solution :
Number Values (X) [tex]$\sum (X_i - \bar X)^2$[/tex]
1 121.5 193494.4144
2 138.9 178489.3504
3 155.7 164576.2624
4 172 151616.7844
5 172.9 150916.7104
6 196.5 133137.4144
7 202.3 128938.4464
8 202.7 128651.3424
9 334.5 51474.5344
10 504 3292.4644
11 563.7 5.3824
12 574.1 161.7984
13 935 139591.9044
14 952.6 153053.0884
15 3194.3 6932267.726
Total 8420.7 8509667.624
Mean [tex]$\bar X = \sum \frac{X_i}{n}$[/tex]
[tex]$=\frac{8420.7}{15}$[/tex]
= 561.38
Median :
[tex]$Q_2 = \left(\frac{1}{2}n+\frac{1}{2}\right)^{th}$[/tex]value
[tex]$ = \left(\frac{1}{2}\times 15+\frac{1}{2}\right)^{th}$[/tex]value
= 202.7
Percentile = [tex]$\left(\frac{P}{100} \times n + \frac{1}{2}\right)^{th}$[/tex] value
= [tex]$\left(\frac{50}{100} \times 15 + \frac{1}{2}\right)^{th}$[/tex] value
= 202.7
Percentile = [tex]$\left(\frac{P}{100} \times n + \frac{1}{2}\right)^{th}$[/tex] value
= [tex]$\left(\frac{40}{100} \times 15 + \frac{1}{2}\right)^{th}$[/tex] value
= 198.82
Percentile = [tex]$\left(\frac{P}{100} \times n + \frac{1}{2}\right)^{th}$[/tex] value
= [tex]$\left(\frac{90}{100} \times 15 + \frac{1}{2}\right)^{th}$[/tex] value
= 1849.28
[tex]$Q_1 = \left(\frac{1}{4}n+\frac{1}{4}\right)^{th}$[/tex]value
[tex]$ = \left(\frac{1}{4}\times 15+\frac{1}{4}\right)^{th}$[/tex]value
= 172
[tex]$Q_3 = \left(\frac{3}{4}n+\frac{3}{4}\right)^{th}$[/tex]value
[tex]$ = \left(\frac{3}{4}\times 15+\frac{3}{4}\right)^{th}$[/tex]value
= 574.1
Therefore, the range = highest value - lowest value
= 3194.3 - 121.5
= 3072.8
Now the interquartile range = [tex]$Q_3-Q_1$[/tex]
= 574.1 - 172
= 402.1
Louis wants to carpet the rectangular floor of his basement. The basement has an area of 4,335 square feet. The width of the basement is
3/5 its length. What is the length of Louis's basement? The length is blank feet.
Answer:
The length of Louis's basement is 85 feet.
Step-by-step explanation:
The area of the basement, A = 4,335 square feet
The width of the basement is 3/5 its length.
Let length be l.
Width = (3/5)l
The area of the basement is given by :
[tex]A=l\times b\\\\4,335 =l\times \dfrac{3}{5}l\\\\4,335 =\dfrac{3}{5}l^2\\\\l^2=\dfrac{4,335 \times 5}{3}\\\\l=\sqrt{\dfrac{4335\times5}{3}}\\\\l=85\ ft[/tex]
So, the length of Louis's basement is 85 feet.
All the answers you need is at the top
Answer:
I don't know if you need help, but the answer to the question in the picture is indeed A. :)
Pqrs is a rhombus find the value of x and y
Answer:
x = 90 degrees
y = 28 degrees
Step-by-step explanation:
x: all the angles in the middle are 90
y: 180 - 90 - 62 = 28
A and B are complementary angles. If m_A= (2x + 10)° and m
ZB = (3x + 15)°, then find the measure of ZB
Step-by-step explanation:
<A + < B = 90° { being complementary angles)
2x + 10° + 3x + 15° = 90°
5x = 90° - 15° - 10°
5x = 65°
x = 13°
Now
<B = 3x + 15° = 3 *13° + 15° = 54°
Hope it will help :)
Help me please!!!!!!
Answer:
BStep-by-step explanation:
:)))))))))))))))))))What is the value of x?
Answer:
x = 5.4
Step-by-step explanation:
3/x = 4/7.2
cross-multiply:
4x = 21.6
x = 5.4
-43/50 as a decimal number
Answer:
-0.86
Step-by-step explanation:
Identify at least one confounding variable that undermines the conclusion drawn in the following fictional study:
Prof. Acosta was interested in which of two popular statistics textbooks (Statistics: It Will Change Your Life and Statistics: Bigger, Better, Stronger) was better for students. Prof. Acosta compared the two texts by assigning one text to a section of statistics taught by Prof. Agnew from 10 to 11 a.m. on Monday, Wednesday, and Friday, and the other text to a section of statistics taught by Prof. Alvarez from 7 to 10 p.m. on Wednesday evenings. At the end of the term, all students took the same comprehensive test. Students to whom Statistics: Bigger, Better, Stronger was assigned performed better on the test than did students to whom Statistics: It Will Change Your Life was assigned. Therefore, Prof. Acosta concluded that the former textbook was the better one.
Answer:
Identifying at least one confounding variable that undermines the conclusion drawn in the fictional study is:
All students took the same comprehensive test.
Step-by-step explanation:
In a study, an independent variable causes an effect on the dependent variable. But a confounding variable is the variable that influences the independent variable as well as the dependent variable. If this third variable is not controlled, it might lead the researcher to make a wrong estimate of the relationship that exists between the independent variable and the dependent variable.
1,8,5,4,1,8,5,4
Mean:
Median:
Mode:
Answer:
1. Mean = 55.8
Median = 23
Mode = None
2. Mean = 2.1
Median = 1.4
Mode 0.5
3. Mean = 4.5
Median = 4.5
Mode = 1,4, 5, 8
4. Mean 68
Median 58
Mode = 0
Step-by-step explanation:
Mean = 17 + 25 + 23 + 200 + 14 / 5 = 279/5 = 55.8
Median= Because its odd you put them in order 17, 14, 23, 25, 200 = 23 because it is the middle number. Mode = None
2. Mean = 0.5 + 1.4 + 3.0 + 7.0 + 0.5 +1.8 + 0.5 = 14.7 = 14.7/7 = 2.1
Median = because it is odd you put them in order 0.5, 0.5, 0.5, 1.4, 1.8, 3.0, 7.0 = 1.4 The mode is 0.5 because it repeats three times
3. Mean = 1 + 8 + 5 + 4 + 1 + 8 + 5 + 4 = 36/8 =4.5
Median = Because its even you divide by the two middle numbers = 1, 1, 4,4, 5, 5 , 8 , 8 = 4+5 = 9/2 = 4.5 Mode = 1, 4, 5, and 8 are the numbers that are repeated most often.
Mean = 0+78+99+58+65+0+47+38+227 = 68 Median, Because there is an odd number you get the odd number from the middle. 0, 0, 38, 47, 58, 65, 78, 99, 227 = 58 Mode = 0 because it repeats more often.
Sorry I kept commenting I'm new to this platform!
The temperature was -13 °F and then fell 5 degrees.
What was the final temperature?
Answer:
-8
Step-by-step explanation:
The final temperature was -18 °F if it decreased by 5 degrees.
What is the addition operation?The addition operation in mathematics adds values on each side of the operator.
For example 4 + 2 = 6
The temperature was -13 °F and then dropped 5 degrees.
As per the question, we have data as follows:
The initial temperature = -13 °F
The changed temperature = -5 °F (negative sign indicates temp dropped)
Final temperature = initial temperature + changed temperature
Final temperature = -13 °F + (-5 °F)
Final temperature = -13 °F - 5 °F
Apply the addition operation, and we get
Final temperature = -18 °F
Therefore, the final temperature was -18 °F.
Learn more about Addition operations here:
brainly.com/question/25834626
#SPJ2
Hello! I’m struggling with this question just if someone could help me!
Answer:
Assuming the question is about the area of the "house" it's 70.
Step-by-step explanation:
The triangle's height is 18 - 10 = 8
The area of the rectangle is 5 * 10 = 50
The area of the triangle is 5 * 8 / 2 = 20
The total area is 50 + 20 = 70
Figure D'E'F'G'is a dilation with center (0,0) of figure DEFG. What is the scale factor? Enter your answer in the box.
The scale factor is 4.
Important information:
Figure D'E'F'G' is a dilation with center (0,0) of figure DEFG. Scale factor:From the given figure it is clear that:
DG = 2
D'G' = 8
The scale factor is:
[tex]k=\dfrac{D'G'}{DG}[/tex]
[tex]k=\dfrac{8}{2}[/tex]
[tex]k=4[/tex]
Therefore, the scale factor is 4.
Find out more about 'Scale factor' here:
https://brainly.com/question/19896181
solve m the propotion m−15=9?
Answer:
24
Step-by-step explanation:
1st u do the inverse which is 15+9=24
24-15=9
there are 84 girls in grade 3.the boys are twice the numbers of girls. how many pupils are there in all in grade 3?draw a diagram.
Answer: 252
Step-by-step explanation:
You just multiply 84 by two and then ad another 84.
Finding percents
1 is 25% of what number?
PLEASE HELP!!! Find the length of the missing side of the right triangle,
13 yd
Syd
A. 194 yd
B 13.93 yd
C. 144 ya
D. 12 yd
Answer:
12
Step-by-step explanation:
For these problems you should use the pythagorean theorem: a^2+b^2=c^2
In this case, 13=c and 5=a
so:
5^2+x^2=13^2
25+x^2=169
subtract 25 from both sides
x^2=144
√144=12
missing side=12
help me pliss
which one is supposed to be correct?
24 = 2w - 10 Solve for w, simplify your answer as much as possible
Answer:
the answer is 17
Step-by-step explanation:
2w-10=24
10+24=34
34/2=17
so w=17
Answer:
w=17
Step-by-step explanation:
The point (8,1) is on the line. (Remember the line continues in both directions forever.)
True
O False
the answear us true im preety sure
I need help please i really need it (14 points)
Answer:
point b
Step-by-step explanation
piont b can go to piont e
Answer:
B
Step-by-step explanation:
Go through each point and see which ones works:
Find the mean of first five prime numbers.
Answer:
5.6
Step-by-step explanation:
First five prime numbers are 2, 3, 5, 7 and 11. The mean or the average formula is = Sum/number of items = (2 + 3 + 5 + 7 +11)/5 = 5.6
Convert 8 weeks into days.
*Note: you must use these exact conversion factors to get this question right.
1 minute (min) = 60 seconds (sec) 1 week (week) = 7 days (days)
1 hour (hr) = 60 minutes (min)
1 month (month) = 30 days (days)
1 day (day) = 24 hours (hr)
1 year (year) = 365 days (days)
Answer:
days
Submit Answer
atte
Answer:
Tris-HCl (0.5M Tris Base, pH7.6):
Trizma Base ---------------------------------- 61 g
Distilled water ------------------------------- 1000 ml
Adjust pH 7.6 using concentrated HCl
Store this solution at room temperature. Dilute 1:10 with distilled water before use
and adjust pH if necessary.
20X Tris-HCl (1M Tris Base, pH7.6):
Trizma Base ---------------------------------- 122 g
Distilled water ------------------------------- 1000 ml
Adjust pH 7.6 using concentrated HCl
Store this solution at room temperature. Dilute 1:20 with distilled water before use
and adjust pH if necessary.
10X Tris-HCl-Tween 20 (0.5M Tris Base, 0.5% Tween 20, pH7.6):
Trizma Base ---------------------------------- 61 g
Distilled water ------------------------------- 1000 ml
Adjust pH 7.6 using concentrated HCl and then add 5 ml of Tween 20.
Store this solution at room temperature. Dilute 1:10 with distilled water before use
and adjust pH if necessary.
Note: Tris-HCl Buffer is used for specific cases of immunohistochemical staining.
*** OR you can use Tris Base to make Tr
3. Which expression is NOT equivalent to 216? *
Answer: 8x62 i found this so here is why this is correct hope it helps!
( I am a middle schooler btw)
Step-by-step explanation: 8 x 60 = 480 + 2 =482 so 8 x 62 is correct
Michael has 12% of his paycheck
automatically deposited to his savings
account. His last paycheck was $2165.00
How much money was deposited to
Michael's savings account?
If Michael Saves this amount for
24 consecutive pay periods, how much
will he have saved total?
Answer:
259.80 dollars was deposited from his last pay check and he will have saved 6235.20 dollars in total
Step-by-step explanation:
Grocery Store A is selling bananas for $0.75 for 12 pound. Grocery Store B is selling 5 pounds of bananas for $3.75.
Which store is offering the best unit rate? Show your work
Answer:
12 ×$0.75 =$8.00
3.75 ÷ 5 = $1.33 a pound,
$1.33 × 12 = $15.96 so store A is offering the best rate.
It is found that Store B is offering the best unit rate for the bananas.
What is unit rate?There is independent quantity, and a quantity which depends on it (dependent quantity). When independent quantity moves by a unit measurement (single unit increment), the increment in dependent quantity is called rate of increment of dependent quantity per unit increment in independent quantity.
Given that Grocery Store A is selling bananas 1/2 pound for $0.75 .
Grocery Store B is selling 5 pounds of bananas for $3.75.
According to the question,
Store A is selling bananas 1/2 pound for $0.75 .
Therefore,
For one pound will be;
= 0.75/0.5
= 1.5
And store B is selling 5 pounds of bananas for; $3.75
Therefore,
One pound will cost;
3.75/ 5 = 0.75
Hence, Store B is offering the best unit rate for the bananas.
To know more about the Division click the link given below.
brainly.com/question/19704059
#SPJ6
Can someone plz help
Answer:
Step-by-step explanation:
x = 100° ( being vertically opposite angles )
hope it helps :)
What is the remainder when x4–5x3+ 3x2–2x + 7 is divided by x –1?
A) 4
B) 7
C) 10
D) 18
Answer:
-107
Step-by-step explanation:
x4-5^3+ 3^2-2x + 7
2x−109/x−1
1 2 −109
2
second step
1 2 -109
1 * 2 = 2
2 (-109) + 2 = -107
Coefficients are 2, and -107
Therefore the quotient is 2 and the remainder is -107
Find the pattern. What numbers come next?
61, 54, 47, 40,
Answer:
33
Step-by-step explanation:
It's decreasing by 7
The relation is the descending the series by 7 and the next term is 33.
We have to determine, find the pattern and what numbers come next
We have given that, 61, 54, 47, 40.
What is the series?
A series is, roughly speaking, a description of the operation of adding infinitely many quantities, one after the other.
61-54=7
54-47=7
47-40=7
So the next term is
40-7=33
Therefore the relation is the descending the series by 7 and the next term is 33.
To learn more about the series visit:
https://brainly.com/question/25870256
A bag of flour weighs 2.5 kilograms. Of 1 bag makes 5 loaves of bread, how many grams of flour are needed for each loaf
Answer:
500 grams
Step-by-step explanation:
2.5 kg = 5 loaves
1 loaf = 2.5/5 = 0.5 kg
0.5 kg = 500 grams