The values of the central tendencies are as follows;
The mean of Class 1 is 78.83.
The median of Class 1 is 88
The mean of Class 2 is 79.42
The median of Class 2 is 85.50
The mean of Class 3 is 79.42
The median of Class 3 is 78
The standard deviation of Class 1 is 18.81
The standard deviation of Class 2 is 16.15
The standard deviation of Class 3 is 12.70.
How to find the mean and median?Mean is the average of a set of numbers.
Mean = sum of numbers / total number
Mean of Class 1 = (45 + 50 + 55 + 68 + 77 + 86 + 90 + 90 + 90 + 95 + 100 + 100) / 12 = 78.83
Mean of Class 2 = (40 + 64 + 65 + 70 + 80 + 84 + 87 + 88 + 90 + 90 + 95 + 100) / 12 = 79.42
Mean of Class 3 = (55 + 65 + 70 + 75 + 75 + 76 + 80 + 80 + 88 + 90 + 99 + 100) / 12 = 79.42
Median is the number that is at the center of the dataset that is arranged in either ascending or descending order.
Median of Class 1 = (86 + 90) / 2 = 88
Median of Class 2 = (84 + 87) / 2 = 85.50
Median of Class 3 = (76 + 80) / 2 = 78
Standard deviation is used to calculate the average variation of a dataset.
Standard deviation = √((x - μ)²/σ)
Where:
x = number in the dataset
u = mean
n = total numbers in the dataset.
Standard deviation of Class 1 = 18.81
Standard deviation of Class 2 = 16.15
Standard deviation of Class 3 = 12.70
Read more about Mean, Median and Mode at; https://brainly.com/question/14532771
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Complete question is;
Mrs. Sparks is a 9th grade Algebra 1 teacher. She teaches three
Algebra 1 courses and all the classes recently took a chapter exam.
Below are the scores.
Class 1
45
68
77
90
90
95
100
100
86
90
50
55
Class 2
64
65
70
40
100
87
84
88
90
90
95
80
Class 3
70
75
75
90
100
80
55
65
76
80
88
99
a. Find the mean, median, mode and range of Class 1.
b. Find the mean, median, mode and range of Class 2.
c. Find the mean, median, mode and range of Class 3.
d. Find the standard deviation of Class 1.
e. Find the standard deviation of Class 2.
f. Find the standard deviation of Class 3.
Answer:
Down below! Hope this helps! Mark me Brainly!
Step-by-step explanation:
A.
The mean 78.83.
The median 88
The mode 90
The range 55
B.
The mean 79.42
The median 85.50
The mode 90
The range 60
C.
The mean 79.42
The median 78
The mode 75 and 80
The range 45
D.18.81
E.16.15
G.The class that had the higher standard deviation is class 1.
H.The class that did better on the exam is class 3 because it has the higher mean and the lowest standard deviation.
Can someone check my work?
Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today!
We can check your answer in 1 step.
We need to find how much they earn if they worked 37 hours at a rate of 26 dollars per hour.
We can mutliply to figure this out:
[tex]37*26=962[/tex]
Therefore, yes, your answer is correct!
Cheers!
Answer:
$26=1hr
x =37hr
$26 x 37=$ 962
Step-by-step explanation:
Solve each equation for the specified variable.
a. a-q=a+sx for x
b. kx-bf=fy/m for y
c. a-q=a+sx for q
d. kx-bf=fy/m for m
PLEASE HELP I WILL GIVE GREATEST ANSWER TO WHOEVER SOLVES ALL OF THEM THE BEST. THANK YOU SO MUCH
Answer:
a.
a - q = a + sx
a - a - q = a - a + sx
-q = sx
[tex]\frac{-q}{s} = \frac{sx}{s}[/tex]
x = [tex]\frac{-q}{s}[/tex]
b.
kx - bf = [tex]\frac{fy}{m}[/tex]
m(kx - bf) = m([tex]\frac{fy}{m}[/tex])
mkx - mbf = fy
[tex]\frac{mkx - mbf}{f}[/tex] = [tex]\frac{fy}{f}[/tex]
y = [tex]\frac{mkx - mbf}{f}[/tex]
y = [tex]\frac{mkx}{f}[/tex] - [tex]\frac{mbf}{f}[/tex]
y = [tex]\frac{mkx}{f}[/tex] - mb
c.
a - q = a + sx
a - a - q = a - a + sx
-q = sx
-q × (-1) = sx × (-1)
q = -sx
d.
kx - bf = [tex]\frac{fy}{m}[/tex]
m(kx - bf) = m([tex]\frac{fy}{m}[/tex])
m(kx - bf) = fy
[tex]\frac{m(kx - bf)}{kx - bf}[/tex] = [tex]\frac{fy}{kx - bf}[/tex]
m = [tex]\frac{fy}{kx - bf}[/tex]
13. A linear cost function is C(x)= 28.37x +5,580, where x represents the number of units produced. What is the cost
of producing one more item if 75 are currently being produced? Round your answer to the nearest cent.
a. $7,736.12
b. $28.37
c. $5,580.00
d. $5,608.37
e. $75.00
9514 1404 393
Answer:
b. $28.37
Step-by-step explanation:
In the cost function, x is the number of units. The derivative of the cost function with respect to x will tell the incremental cost of producing one more unit. That derivative is a constant, $28.37 per unit, so the cost of producing one more unit is $28.37 at any production level.
solve for x in equation !! ?
Pretty sure the answer is d
Question 19
A game consists of black and white pieces. The number of black pieces is 5 more than 3 times the white pieces. Seven white and 15 black pieces are removed each round. After several rounds, there are 3 white and 56 black pieces left. How many pieces were there in the beginning?
A. 52
B. 158
C. 210
D. 213
E. 218
Answer:
D. 213Step-by-step explanation:
The number of black pieces is 5 more than 3 times the white pieces:
b = 3w + 5Let the number of rounds is x.
Initial number of white nd black pieces:
w = 7x + 3b = 15x + 56Substitute the values of b and w into first equation and find the value of x:
15x + 56 = 3(7x + 3) + 515x + 56 = 21x + 146x = 42x = 7Find the number of pieces:
w = 7*7 + 3 = 52b = 3*52 + 5 = 161w + b = 52 + 161 = 213Correct choice is D
Answer:
A game consists of black and white pieces. The number of black pieces is 5 more than 3 times the white pieces. Seven white and 15 black pieces are removed each round. After several rounds, there are 3 white and 56 black pieces left. How many pieces were there in the beginning?
A. 52
B. 158
C. 210
D. 213
E. 218
what’s the correct answer i will give brainlist
The scenario could be modeled as a linear equation to produce the mathematical model written as : y = 10x + 7
Number of cards from previous card = 7
Number of cards per cardstock purchased = 10
Let :
Number of cardstocks purchased = x
Total Number cards made = y
The total number of cards made, y can be expressed thus :
(Number of cards per cardstock purchased × number of cardstocks purchased) + number of previous cards
This means :
y = 10x + 7
Therefore, the required equation is y = 10x + 7
Please help! Steps if possible: If n=31, ¯x (x-bar)=41, and s=12, construct a confidence interval at a 90% confidence level. Assume the data came from a normally distributed population.
Give your answers to one decimal place.
decimal place.
________ < μ < _______
Answer: [tex]\boldsymbol{37.5} < \mu < \boldsymbol{44.5}[/tex]
===========================================================
Explanation:
At a 90% confidence level, the z critical value is roughly z = 1.645. Use a reference table or a calculator to determine this. Despite not knowing what sigma is, we can use a z interval here because n > 30. If the sample size n was smaller than 30, then we'd have to use a T distribution instead.
We'll plug that z value, along with the other given values, into the formula for the lower boundary L of the confidence interval.
[tex]L = \text{lower boundary}\\\\L = \overline{x} - z*\frac{s}{\sqrt{n}}\\\\L = 41 - 1.645*\frac{12}{\sqrt{31}}\\\\L = 41 - 3.545\\\\L = 37.455\\\\L = 37.5\\\\[/tex]
This value is approximate.
Do the same for the upper boundary as well
[tex]U = \text{upper boundary}\\\\U = \overline{x} + z*\frac{s}{\sqrt{n}}\\\\U = 41 + 1.645*\frac{12}{\sqrt{31}}\\\\U = 41 + 3.545\\\\U = 44.545\\\\U = 44.5\\\\[/tex]
This value is also approximate.
We have 90% confidence that the population mean [tex]\mu[/tex] (greek letter mu) is somewhere between L = 37.5 and U = 44.5
Therefore, we would write the 90% confidence interval as [tex]\boldsymbol{37.5} < \mu < \boldsymbol{44.5}[/tex]
This is the same as writing the confidence interval in the form [tex](\boldsymbol{37.5} , \boldsymbol{44.5})[/tex]. Both forms are two different ways to say the same thing. The first form being [tex]L < \mu < U[/tex] while the second form is [tex](L,U)[/tex].
Side note: The value 3.545 calculated earlier is the approximate margin of error.
-3 1/8 divided by 3 3/4 = ?
whats the answer to this question, and what you did to get this answer
Answer:
-5/6
Step-by-step explanation:
1. Change 3/4 to 6/8 by cancelling the common factors.
2. Divide how you normally would
Answer:
- [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
-3[tex]\frac{1}{8}[/tex] ÷ 3[tex]\frac{3}{4}[/tex]
[tex]\frac{-25}{8}[/tex] ÷ [tex]\frac{15}{4}[/tex]
[tex]\frac{-25}{8}[/tex] × [tex]\frac{4}{15}[/tex]
[tex]\frac{-100}{120}[/tex]
[tex]\frac{-50}{60}[/tex]
- [tex]\frac{5}{6}[/tex]
* Keep in mind that - [tex]\frac{5}{6}[/tex], [tex]\frac{-5}{6}[/tex], and [tex]\frac{5}{-6}[/tex] mean the same thing!
First, I converted -3 1/8 and 3 3/4 to improper fractions. I then switched the sign of division to multiplication and changed 15/4 to 4/15. I then multiplied -25 with 4 and 8 with 15, resulting in -100/120. I simplified this to -5/6.
Hope this helps, and if you have any questions, let me know!
ANSWER THIS PLEASE I NEED HELP
Answer:
1st part:
0.65= 13/2
0.425=4251000
9.35=9 7/20
2nd part:
19/25= 0.76
311/500=0.622
5/8=0.625
14 3/5=14.6.
Step-by-step explanation:
hope this helped good luck!<3
What is 18/100 written as a decimal?
[tex]0.18[/tex]
is the decimal point
Uhm is this a function?
Answer:
yes it is
Step-by-step explanation:
-3(p+2) when p=6
Anybody
Answer:
-24
Step-by-step explanation:
-3(p+2)
-3 ( 6+2 )
-3(8)
-24
Complete the statement:
If AB, CD, then
a. AB - CD
b. AB = CD
C. ABCD
d. AB - CD
-
Solve the inequality.
2(x+4) < 2 - x
Answer:
x < -2
Step-by-step explanation:
2(x+4)<2-x
2x+8<2-x
+x +x
3x+8<2
-8 -8
3x<-6
x<-2 Divide both sides by 3
Hope this helps!
Answer:
2x+8<2-x
8-2<-x-2x
-3x>6
x>6/3
x<2
Step-by-step explanation:
I think it's smtg like this
-0.8 as a fraction!
Please explain I have to go in like 5 minutes!
Answer:
4/5 divide 100 by the denominator in this case 5 get 20 as the unit percent and multiply by the numerator to get 80% which is 8/10 as a fraction.
Choose the correct answer below
Answer: B.
Step-by-step explanation:
brainliest me
4. 8 is what percent of 18?
Answer:
the answer is 26.6666667 and when rounded off is 26.7
Give the two missing numbers in the following sequences.8,9,11,14,?,23,?
Answer:
18 and 29
Step-by-step explanation:
8+0=8
8+1=9
9+2=11
11+3=14
14+4=18
18+5=23
23+6=29
As you can see, the number that you add to the previous number in the sequence is increased by 1 as the sequence grows in length. The number added goes from 0 to 1 to 2 to 3 and so on. :-)
A car was valued at 380,000 in the year 2014. By 2019, the value had depreciated to 110,000. If the cars value continues to drop by the same percentage,what will it be worth by 2017?
Please help thanks and Godbless
Answer:
160000
Step-by-step explanation:
Determine the Domain and Range for promblems 1 and 2.
Answer:
Nvgjvfknh
Step-by-step explanation:
HELP ME OUT PLEASE
PLS SEND PICTURE OF WHAT TO DO
Use the data to create a scatter plot.
Answer:
(2,5)
(3,8)
(4,13)
(5,12)
(6,18)
(7,20)
Plug those into the scatter plot graph
Step-by-step explanation:
The left side is the x axis and the right side is the y axis
Cliff earns $15 for each hour that he works as a television sales person plus an additional $10 for each television that he sells which of the following represents the amount cliff earns , in dollars, if he sells n television and works h hours ?
Answer:
15h+10n
Step-by-step explanation:
You forgot to list the equations.
10 * n = 10n = $ paid for amount of televisions sold
15 * h = 15h = $ paid for hours worked
15h + 10n = Total amount paid
The answer for n television sold and h hours working is 15h +10n.
Expression:
An expression is an algebraic or mathematical statement in which some variable and constant are arranges with any algebraic operations
Given that
Cliff earned for one hour = $15
Therefore for h hours = 15h
Also he earned additional for each television sold = $10
Therefore for n television sold = 10n
How to add the algebraic terms?Here 15h and 10n are two algebraic numbers because there is constants 15 and 10 and variables h and n are multiplied simultaneously.
Therefore the total earning is the addition of both
15h + 10n
The final answer is 15h + 10n
Learn more about expression here-
https://brainly.com/question/4344214
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Use substitution to determine which value of x makes the equation x– 5 = 7.4 true
x=2.4
X= 6.9
X= 7.9
X = 12.4
HELPPPP
Step-by-step explanation:
I'm not sure if I'm using substitution method but I guess it's x = 12.4
A truck is carrying
10^3
bushels of apples,
10^2
bushels of grapes, and
10^1
bushels of oranges. Each bushel of apples weighs 32 pounds, each bushel of grapes weighs 25 pounds, and each bushel of oranges weighs 42 pounds. What is the total weight of the fruit in pounds?
A.
3,592 pounds
B.
5,742 pounds
C.
32,299 pounds
D.
34,920 pounds
[tex]\begin{cases} \stackrel{apples}{10^3}\\ \stackrel{grapes}{10^2}\\ \stackrel{oranges}{10^1} \end{cases}\qquad \begin{cases} \stackrel{lbs}{32}\\ \stackrel{lbs}{25}\\ \stackrel{lbs}{42} \end{cases}\qquad \begin{array}{rllll} 10^3\cdot 32\\ 10^2\cdot 25\\ +\qquad 10\cdot 42\\\cline{1-1} 34920&lbs \end{array}[/tex]
The women's rights movement gained momentum in the 1960s as leaders like Betty Friedan and Gloria Steinem began sharing
their beliefs and concerns regarding discrimination against women. The Equal Rights Amendment called for an end to
discrimination based on gender. Which statement is true regarding the ERA?
sets if 98% of households have at least one television set and 4 households are selected, find the probability that at least one household has a television set.
Using the binomial distribution, it is found that there is a 0.99999984 = 99.999984% probability that at least one household has a television set.
For each household, there are only two possible outcomes, either it has at least one television set, or it does not. The probability of a household having at least one television set is independent of any other household, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
4 households are selected, hence [tex]n = 4[/tex].98% have at least one television set, hence [tex]p = 0.98[/tex]The probability that at least one household has a television set is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{4,0}.(0.98)^{0}.(0.02)^{4} = 0.00000016[/tex]
Then:
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.00000016 = 0.99999984 [/tex]
0.99999984 = 99.999984% probability that at least one household has a television set.
A similar problem is given at https://brainly.com/question/24863377
how many times does 1 go in 9
Answer:
9 times
Step-by-step explanation:
1 goes into 9, 9 times
1+1=2
2+1=3
3+1=4
4+1=5
5+1=6
6+1=7
7+1=8
8+1=9
Arranging the real number in ascending order -8,2,0,9,-10
Hello,
- 10, - 8, 0, 2, 9
The ascending order is always : negative numbers, zero, positive numbers
Answer:
-10, -8, 0, 2, 9
what is the numerical answer?
Answer:
x = 3
Step-by-step explanation:
In a parallelogram the diagonals bisect each other , then
6x + 11 = 5x + 14 ( subtract 5x from both sides )
x + 11 = 14 ( subtract 11 from both sides )
x = 3
Help please I’ll give points help help help help
Answer:
my sample ka
Step-by-step explanation:
bigyan mu ako para masagot ko ang tanong nayan.