Answer:
X=∑fX ∑f , where ¯X is the mean.
Mean = 115/4 = 28.75
Standard deviation = [tex]\sigma={\sqrt {\frac {\sum(x_{i}-{\mu})^{2}}{N}}}[/tex] n = the number of items = 4
Standard deviation = √28.37/4 = √7.0925 = 2.66317
Step-by-step explanation:
Mean is the number which is obtained by adding the values of all the items of a series and dividing the total by the number of items.
Standard deviation is the square root of the arithmetic mean of the squares of deviations of the items from their mean values
So, Class intervals are given here.
We have to find the middle point of the class interval.
So,
Class interval= 25- 34
Middle point= [tex]\frac{34-25}{2}[/tex]= [tex]\frac{9}{2}= 4.5[/tex]
Let's add 4.5 to the lower interval,
=> 25 + 4.5= 29.5
This is the median point and do the same for the other intervals too
i.e 39.5,49.5 and then 59.5 then multiply the number with the middle point.
So midpoint times the number. So, we get
29.5 * 21.7 = 640.15 & so on we get 129,...
Then add these numbers together. So that becomes 5375.75. And what about the total number here, that is
=>21.7 + 32.8 + 36.8 + 21.7= 118.5
So here,
Mean value, that should be equal to the sum of mean times the number divided by the total number here,
Mean= [tex]\frac{5375.75}{118.5}[/tex] = 45.36
So, this is the mean value.
Standard deviation:
Standard deviation = [tex]\sigma={\sqrt {\frac {\sum(x_{i}-{\mu})^{2}}{N}}}[/tex]
[tex]\sigma[/tex] = population standard deviation
N = the size of the population
[tex]x_{i}[/tex] = each value from the population
[tex]\mu[/tex] = the population mean
So here is what we have to do,
We have to subtract the mean value from the middle point that is,
=>45.36- 21.5 and squared plus 45.36 -39.5 Squared. And plus this is 45.36 -49.5 Squared plus 45.36 -59.5 squared. And then, this is 45.
Let me just inside the apprentices Inside the practices, this is 45 .36 29.5 and take the square of this one And then add another one Which is 45.36 39.5 and then take the square this one too. And plus inside parentheses, this is 45.36 minus Which is 490.5 And then squared. That is 45.36 And -59 0.5 so And then take the square, there's 12 if you just add all of them, so we will get five 47.1184.
So the standard deviation is the square of 547, divided by The total frequency here.
Standard deviation = √28.37/4 = √7.0925 = 2.66317
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HELP WILL GIVE 20 points!
Each unit on the graph is equal to one block how many blocks does Ben need to walk from his house to reach the museum? HELP
Answer:
D.
Step-by-step explanation:
He has to walk down 3 blocks and right 10
What are some limitations in using a line of best fit drawn on a scatter plot to make predictions?
a.
There may be too much information given on the scatter plot.
b.
The line may represent a negative or positive correlation.
c.
It is possible to draw different lines to approximate the same data. The line of best fit is only an estimate.
d.
The axes of the scatter plot may be labeled incorrectly.
Please select the best answer from the choices provided
A
B
C
D
Mark this and return
Answer: It is possible to draw different lines to approximate the same data. The line of best fit is only an estimate.
In the equation 3y = 21, what is the next step in the equation solving sequence
Answer:
divide both sides by 3
Step-by-step explanation:
Solving the equation means to have y alone on the left side equaling a number.
Since the variable y is being multiplied by 3, the next step is to do the opposite operation to "multiplying by 3" which is "dividing by 3." Since the rule in algebra is that you must do the same operation to both sides of an equation, the next step is:
divide both sides by 3
HELP ME PLEASE !!!!!!!
Suppose g(x) = f(x-3) -4. Which statement best compares the graph of
g(x) with the graph of f(x)?
A. The graph of g(x) is shifted 3 units right and 4 units up.
B. The graph of g(x) is shifted 3 units left and 4 units down.
C. The graph of g(x) is shifted 3 units left and 4 units up.
D. The graph of g(x) is shifted 3 units right and 4 units down.
Answer:
D. The graph of g(x) is shifted 3 units right and 4 units down.
Step-by-step explanation:
The graph of g(x) is shifted 3 units right and 4 units down
Help me with this math problem
The required probabilities are as follows:
a) P(X=5) = 0.123
b) P(X6) = P(X=6+X=7+X=8+X=9+X=10)
c) P(X4)=P(X=0), P(X=1), P(X=2), and P(X=3)
Using a binomial random variable, the following is modeled:
There are always ten (10) persons that are being questioned.
From trial to trial, the likelihood of success (i.e., very little faith in newspapers) remains consistent (p=0.68).
The trials are impartial (a reasonable assumption, since the response of 1 of the people should not affect the response of any other)
There are just two possible results for each trial: low faith in newspapers or not.
X counts how many of the 10 trials were successful.
P(X=k) = is the probability mass function for the binomial random variable.
= [tex]^nC_k\times(p^k)\times(1-p)^{n-k}[/tex]
a) P(X=5) =[tex]^{10}C_5\times(0.68)^5\times(0.32)^5[/tex]≈ 0.123
b) P(X6) = P(X=6+X=7+X=8+X=9+X=10)
These may all be calculated individually, then summed together.
c) P(X4)=P(X=0), P(X=1), P(X=2), and P(X=3)
the same concept as in (b) above.
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maximum value of P+4x+5y+21 given the following: y-x<1, 21x+7y<25, x>-2, y>-4
The maximum value of the objective function is 31.787
How to maximize the function?The given parameters are:
Objective function:
Max P = 4x + 5y + 21
Subject to:
y- x < 1
21x + 7y < 25
x>-2, y>-4
Rewrite the inequalities as equation
y - x = 1
21x + 7y = 25
Add x to both sides in y - x = 1
y = x + 1
Substitute y = x + 1 in 21x + 7y = 25
21x + 7x + 7 = 25
Evaluate the like terms
28x = 18
Divide both sides by 28
x = 0.643
Substitute x = 0.643 in y = x + 1
y = 0.643 + 1
y = 1.643
So, we have:
Max P = 4x + 5y + 21
This gives
P = 4 * 0.643 + 5* 1.643 + 21
Evaluate
P = 31.787
Hence, the maximum value of the objective function is 31.787
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Suppose that the total cost of flatiron TVs is given by the function TC(Q) = 500Q + 300 dollars, where Q is the number of TVs produced. Find TC(10).
The value of TC(10) is 5300 Dollars
Given function is TC(Q) = 500Q +300 dollars
We need to calculate the value for TC (10)
As we know that the equation given is TC(Q) = 500Q + 300 dollars
Q is the number of TVs produced
Therefore, The value of Q is 10 for TC(10)
Substituting the value of Q
in the total cost of flatiron TVs given by function TC(Q) = 500Q + 300 dollars That Q= 100,
TC(10) = 500(10)+300 dollars
∴ TC (10) = 5000+300 dollars
∴ TC (10) = 5300 dollars
Hence the value of TC(10) is 5300 Dollars
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There are 5 white balls. 8 red balls, 7 yellow balls, and 4 green balls in a container. A ball is chosen randomly. Find the probability of the following events.
1.What is the probability of choosing
green?
Answers:________ work space:______
2. What is the probability of choosing
red?
Answers:________ work space:______
3. What is the probability of choosing
neither white nor green?
Answers:________ work space:_______
4. . What is the probability of choosing
other than yellow?
Answers:________ work space:_______
5. What is the probability of choosing
purple?
Answer:_________ work space:_______
Given :
White balls = 5 Red balls = 8 Yellow balls = 7Green balls = 4Answer 1 :-
We know that,
P (E) = No. of favourable outcomes / Total number of outcomes.>> Total no. of outcomes = 5 + 8 + 7 + 4
>> Total no. of outcomes = 24
As there are 4 green balls. Therefore,
P (E) = 4 / 24P (E) = 2 / 12 P (E) = 1 / 6Answer 2 :-
We know that,
P (E) = No. of favourable outcomes / Total number of outcomes.>> Total no. of outcomes = 5 + 8 + 7 + 4
>> Total no. of outcomes = 24
As there are 8 red balls. Therefore,
P (E) = 8 / 24 P (E) = 4 / 12 P (E) = 2 / 6 P (E) = 1 / 3Answer 3 :-
We know that,
P (E) = No. of favourable outcomes / Total number of outcomes.>> Total no. of outcomes = 5 + 8 + 7 + 4
>> Total no. of outcomes = 24
As there are 15 balls that are neither green nor white. (Red balls+ yellow balls)
P (E) = 15 / 24 P (E) = 5 / 8Which of the function correctly expresses the exponential model f(x)=6(14)^x with base of e
The exponential equation with a base of e is:
[tex]f(x) = 6*e^{2.639*x}[/tex]
How to change the base?
We start with:
[tex]f(x) = 6*(14)^x[/tex]
We want to rewrite this to:
[tex]f(x) = 6*(e^n)^x[/tex]
So we only need to find the value of n such that:
[tex]e^n = 14[/tex]
If we apply the natural logarithm to both sides:
[tex]ln(e^n) = ln(14)\\n = ln(14) = 2.639[/tex]
Then the exponential equation with base of e is:
[tex]f(x) = 6*e^{2.639*x}[/tex]
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Convert:
3½ kilograms to grams
Step-by-step explanation:
3 1/2 = 3,5 kg → ? g
1 kg = 1.000 g
• Convert kg to g.
= 3,5 kg
= 3,5 × 1.000
= 3.500 grams IS THE ANSWER
Help me with this I’m stuck!!!
The intersection between the complement of set A and the complement of set B is 7.
What is a Venn diagram?A Venn diagram is a visual representation that shows mathematical sets as circular curves inside of a rectangle (known as the universal set).
From the Venn diagram, we are to find the intersection between the complement of set A and the complement of set B.
[tex]\mathbf{A^c = \{ 7,6,11 \}} \\ \\ \\ \mathbf{B^c = \{7,9,13 \}}[/tex]
Therefore, the intersection between the two sets is the set of elements that exists in both of them. Therefore, we have:
[tex]\mathbf{n(A^c \cap B^c) = \{7\}}[/tex]
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please help me write an equation for this polynomial graphed
The equation of the given polynomial is f(x)=(x+2)(x+1)(x-3).
here we have given the graph of the
The roots of the given polynomial is
x=-2,x=-1 and x=3
What is the polynomial?A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
Therefore the equation of the polynomial is
f(x)=(x+2)(x+1)(x-3)
Therefore the equation of the given polynomial is f(x)=(x+2)(x+1)(x-3).
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The equation for this polynomial graphed will be P(x) = a(x + 2)(x + 1)(x – 3)³.
What is polynomial?A polynomial expression is an algebraic expression with variables and coefficients.
The graph of the polynomial is given below.
From the graph, the roots of the polynomial will be -2, -1, and 3.
Then the factor of the polynomial will be
(x + 2), (x + 1), and (x – 3)
Then the polynomial will be
P(x) = a(x + 2)(x + 1)(x – 3)³
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HURRY Given f(x) = - 3/4x + 2, find ƒ(16). The solution is
Answer: Read attachment.
Step-by-step explanation: Attached is my work. Hope it helps!
If my answer was helpful, please mark as brainliest. Or not, it's fine.
Answer:
[tex]\fbox {f(16) = -10}[/tex]
Step-by-step explanation:
Given :
f(x) = -3/4x + 2
Substitute x = 16 :
f(16) = -3/4(16) + 2
f(16) = -12 + 2
f(16) = -10
On a number line, 6.87 would be located
6.87
A. To the right of 6.81
B. Between 6 and 6.5
C. Between 6.5 and 7
D. To the left of 6.81
Check all that apply.
Determine the values of x and y.
Answer: x = 23, y = 40
Step-by-step explanation:
By the same-side interior angles theorem, y+30 and 110 are supplementary.
110 + y + 30 = 180 [supplementary angles add to 180 degrees]y + 140 = 180 [combine like terms]y = 40 [subtract 140 from both sides]We know that the 3x + 1 angle and y + 30 are also congruent, so:
3x + 1 = y + 30 [congruent angles have equal measure]3x + 1 = 40 + 30 [substitute y = 40]3x + 1 = 70 [combine like terms]3x = 69 [subtract 1 from both sides]x = 23 [divide both sides by 3]
Find the domain and range of the function graphed below. Write your answers in interval notation.
Answer:
Domain: [tex][-3, 1)[/tex]Range: [tex][-5, 4][/tex]Step-by-step explanation:
The domain is the set of x-values and the range is the set of y-values.
For what values of x is the following polynomial expression undefined?
x^2+4x+32/x^2−x−10∗2x^2+4x^3/x^2+3x÷x^2+3x+2/x
The values of x for which the expression [tex](x^{2} +4x+32)/(x^{2} -x-10)(2x^{2} +4x^{3} )+4x^{3} /x^{2} +3x/x^{2} +3x+2/x[/tex]is undefined are 0,[tex]\sqrt{41} /2[/tex] and imaginary numbers.
Given Expression :x^2+4x+32/x^2−x−10∗2x^2+4x^3/x^2+3x÷x^2+3x+2/x
We have to find out those values of x for which the expression does not exists.
[tex](x^{2} +4x+32)/(x^{2} -x-10)(2x^{2} +4x^{3} )+4x^{3} /x^{2} +3x/x^{2} +3x+2/x[/tex]
We have to take LCM of the expression which is equal to [tex]x^{3}(x^{2}-x-10)(2x^{2} +4x^{3})[/tex]
LCM is the smallest positive integer that is divisible by both the numbers whose LCM is found.
and it is present in the denominator.
Expression if exists cannot take denominator equal to 0.
So, by putting LCM equal to zero we find
x=0,x=imaginary numbers and x=[tex]\sqrt{41} /2[/tex].
Hence the given expression have not take values of x=0,[tex]\sqrt{41} /2[/tex], imaginary number.
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^
Which is the graph of the linear inequality 2x - 3y < 12?
The graph of the linear inequality 2x – 3y < 12 is given below. Then the correct option is A.
The missing options are given below.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given below.
2x – 3y < 12
Then the correct graph will be given below.
Then the correct option is A.
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the equation of the line that goes through (3, 0) and (6, 2) in slope-intercept form???
the slope intercept form of the given points is y = 2/3 (x-3).
What is Straight Line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined on both sides of a point. A straight line does not have any curve in it.
Here, given passing points
(3, 0) and (6, 2)
We know that,
(y - y₁) = (y₂-y₁)/(x₂-x₁) (x - x₁)
(y - 0) = (2-0)/(6-3) (x-3)
y = 2/3 (x-3)
Thus, the slope intercept form of the given points is y = 2/3 (x-3).
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Evaluate
3(x+4)(x+1)
HP for x = 4.
(x+2)(x-2)
Answer:
120
Step-by-step explanation:
3(x+4)(x+1)
3((4)+4) ((4)+1)
(12 + 12)(4+1)
(24)(5)
120
If you need the other function, here:
(4+2)(4-2)
6(2)
12
Answer:
below
Step-by-step explanation:
3×x=12
3×4=12
3(x+4)=12+12+12+3=39
The Taieri Plain in New Zealand is 6 feet below sea level (or –6 feet). If you are standing 3 feet above sea level, is your elevation the opposite of the elevation of the plain? Describe the steps you would follow with a vertical number line to find the answer.
Answer :Opposite numbers are the same distance from 0 on the number line, but in opposite directions. Steps I would follow:
first, check the directions to make sure they are opposite,
then read the digits, or count the tick marks or compare lengths with dividers or ruler or marks on a piece of paper to see if the distances are the same.
3 is not the opposite of -6
__
6 is the opposite of -6
Determine the number of zeros of the polynomial function. f(x) = x^4 − 6x
The factor of the function will be x and (x³ – 6). Then the zeroes of the function will be 0 and √6.
What is a factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The polynomial function is given below.
f(x) = x⁴ − 6x
Then the factor of the function will be
f(x) = x(x³ – 6)
Then the zeroes of the function will be
x = 0, √6
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Determine the number of crawlers and rovers to make,that will maximize the company profit in a given week
Answer:
jjjijijijiiijijijijijijij no pliss inglés. ;D.
Graph the feasible region subject to the following constraints:
7x+11y≤ 1540
x+3y ≤ 360
x+y≤ 200
x≥0
y≥0
The attached graph represents the graph of the constraints
How to graph the feasible region?The constraints are given as:
7x+11y≤ 1540
x+3y ≤ 360
x+y≤ 200
x ≥ 0, y ≥ 0
Next, we plot the graph of the constraints using a graphing calculator
From the graph (see attachment), we have the coordinates of the feasible region to be (66, 98), (120,80) and (165,35)
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Joshua has a job that pays $2,265 biweekly. How much is withheld annually for Medicare? A.$853.91 B.$32.84 C.$16.42 d.$35.58 E.$71.16
Answer:
09999kjht
Step-by-step explanation:
tttttttttgtgr312345678909ytrewq
6(2x² - 5) = [?]
x = -3
x = -3
[tex]6( {2x}^{2} - 5) \\ \\ 6(2 \times { (- 3)}^{2} - 5) \\ \\ 6(2 \times ( 9) - 5) \\ \\ 6( 18 - 5) \\ \\ 6 \times ( 13) \\ \\ 78.[/tex]
What is the y-intercept of this quadratic function f(I)=-i2+10i-22
The y-intercept of the quadratic equation is -47.
What is Quadratic Equation?A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.
Here, given quadratic equation;
f(i) = i² + 10i - 22
or, y = i² + 10i - 22
y = i² + 2.5x - (47-25)
y = i² + 2.5x + 25 - 47
y = (i+5)² - 47
Thus, the y-intercept of the quadratic equation is -47.
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if x = { 3,6,9,12,...} and y = {5,10,15,20,.. then every member of x and y is ?
A) a multiple of 3 but not of 5
B) a multiple of 5 but not of 3
C) a multiple of 15
D) a multiple of 30
Answer:
the answer is D)
a multiple of thirty
he following stem-and-leaf plot represents the test scores for 26 students in a class on their most recent test. Use the data provided to find the quartiles.
Test Scores by Student
Stem Leaves
6 2 4 4 6 7 9
7 1 2 4 7 8
8 4 4 5 5 6 7 7 8
9 0 0 1 3 4 7 8
Key: 6|2=62
Step 1 of 3 : Find the second quartile.
Considering the given stem-and-left plot, the median = second quaritle of the data set is of 84.5.
What is the median of a data-set?The median of a data-set is the 50th percentile, that is, the value that separates the bottom 50% of scores from the upper 50% of scores.
This data-set has even cardinality of 26, hence the median is the mean of the 13th and 14th scores, which, considering the key for the stem-and-leaf plot, are 84 and 85, hence:
Me = (84 + 85)/2 = 84.5.
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Nigel bought 10 pencils and 5 erasers for 8$. The price of 2
pencils was 1$. What was the price of 2 erasers?
Answer:
2 erasers cost $1.20
Step-by-step explanation:
Nigel bought 10 pencils and 5 erasers for $8.
We can write this algebraically:
10p + 5e = 8
We know that the price of 2 pencils is $1. That is $0.50/Pencil.
So, p = $0.50. Now we can plug that into out equation and find the price of one eraser:
10(0.50) + 5e = 8
5 + 5e = 8
5e = 3
e = $0.60
Now, we have the price of one eraser, $0.60, and we can multiply this by 2 to find the price of 2 erasers, which equates to $1.20.