The variance of [6 ,7 ,10 ,11 ,12 ,13 ,16 ,18 ,25] is 34.61
The sample size (n) = 9
The mean of the distribution (x_i) is the sum of the distribution divided by the number of items in the distribution.
[tex]\mathbf{x_i=\dfrac{6+7+10+11+12+13+16+18+25}{9}}[/tex]
[tex]\mathbf{x_i=\dfrac{118}{9}}[/tex]
[tex]\mathbf{x_i=13.11}[/tex]
The variance is the average between the difference of the mean, followed by squaring the result.
[tex]\mathbf{S^2 = \dfrac{\sum (x_i - \bar x)^2}{n-1}}[/tex]
[tex]\mathbf{S^2 = \dfrac{ ((6 -13.11)^2+ (7-13.11)^2+...+(16-13.11)^2+(18-13.11)^2+(25-13.11)^2}{8}}[/tex]
[tex]\mathbf{S^2 = \dfrac{276.8889}{8}}[/tex]
[tex]\mathbf{S^2 = \ 34.61}[/tex]
Therefore, the variance of the sample given is 34.61
Learn more about variance here:
https://brainly.com/question/13091634?referrer=searchResults
Jared's car can travel 320 miles on 1 tank of gasolin. The gas tank of his car holds 22.4 gallon. If one gallon of gas costs $3.46, how much did he pay in gasif he travelled 563 miles. Round answer to nearest hundredth.
Answer:
39.8, $51.00
Step-by-step explanation:
What’s the height of a right triangle with an angle that measures 45 degrees and a base of 16?
I got h = 11.31371.
Hope this helps!
what is 750 decreased by 13%
Answer:
750 decreased by 13% = 652.5
3x^2-17x=56. What is x?
Answer:
[tex]x=-\frac{7}{3} \\x=8[/tex]
Step-by-step explanation:
[tex]3x^2-17x=56[/tex]
[tex]3x^2-17x-56=0\\[/tex]
[tex]3x^2+7x-24x-56=0[/tex]
[tex]x(3x+7)-8(3x+7)=0[/tex]
[tex](3x+7)(x-8)=0[/tex]
[tex]x=-\frac{7}{3} \\x=8[/tex]
Hope this is helpful.
Hello can someone please help me with this
Answer:
c)
Step-by-step explanation:
my guess is if she needs 1.04 tablets a day, and 1 tablet is closer to that than any other option listed
72 boxes out of 90 sold what percentage sold
Answer:
is what is the math thing at you need help with huh
The slope intercept form of a linear equation is given by AX true or false
what are the first 4 multiples of 4.
Answer:
the first 4 multiples of 4
Multiples of 4: 4, 8, 12, 16,
Step-by-step explanation:
Answer:
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, …
Step-by-step explanation:
please mark as brainlist
Given the scenario in #2 for Kevin, how much interest will he pay over the life of the
mortgage?
A. $62,283.60
B. $24,337.80
C. $28,632.60
D. $64,312.60
PLZ HELP ASAP WITH 2,4,6,8,9 plz
Answer:
2. 1
4. -5/2
6. 3
8. 5/3
You asked for help with number 9, but you haven't included the problem in the picture, so I couldn't solve it. I hope this helps!
Step-by-step explanation:
The formula for finding slope is y2 - y1/x2 - x1
2. 3-1/3-1 = 2/2 = 1
4. 4-9/2-0 = -5/2
6. 7-1/2-0 = 6/2 = 3
8. 7-2/4-1 = 5/3
i inserted a picture of the question can you please make it short
Answer:
C. 12 is the correct answer
Step-by-step explanation:
1.2 x 10¹²
What is the axis of symmetry for f(x) = 2x2 − 4x + 5? x = −2 x = −1 x = 1 x = 2
Step-by-step explanation:
for a quadratic equation
y = ax² + bx + c
the x value for the axis of symmetry is
x = -b/(2a)
in our case
y = 2x² - 4x + 5
a = 2
b = -4
x = - -4/4 = 4/4 = 1
x = 1 is the correct answer.
the perimeter of a rectangle is 58 inches. if the length of the rectangle one inch more than 3 times the width, find the dimensions.
Answer:
W:13,L:16
Step-by-step explanation:
2(x+x+3)=58
2x+3=29
2x=26
x=13
13+3=16
In a 5k race, the average time for a runner to finish was 25.2 minutes. The standard deviation is 3.5 minutes. ROUND ALL Z-SCORES TO 2 DECIMAL PLACES.
1. What is the z-score of a runner who finished in 20 minutes?
2.what is the z-score of a runner who finished in 30.5 minutes?
3. what is the z-score of a runner who finished in 26 minutes?
4.why are some z-scores negative and some positive? what does a positive z-score tell you? what does negative z-score tell you?
Please Help im so confused!!!
see link in comments
assume that y varies directly as x. if y=7 when x=4, find y when x=12
Rank the following methods of timekeeping from most precise to least precise. ANSWER ASAP AND GET BRAINLIEST
A stop watch
Finding the height of the sun in the sky
Counting heartbeats
A calendar
Answer:
Most precise to least precise
Finding the height of the sun in the skyCounting heartbeats A calendarA stop watchThe low temperature on a certain day is 51°F. The low temperature is 17°F lower than the high temperature, h.
Which equation can be used to find the high temperature for that day?
51 = 17h
51 = h + 17
51=h−17
h + 51 = 17
Answer:
c. 51=h−17
Step-by-step explanation:
the other ones dont make since and C is the only one that does.
Your school raised 125% of its fundraising goal. The school raised $6750. What was the goal?
Also answer for 25 points :)
Answer:
5400
Step-by-step explanation:
6750÷1.25=5400
to verify 25 percent of 5400 is 1350 if you add that to 5400 you get 6750
Which of the following equations is an example of inverse variation between
the variables x and y?
A. y = 12x
B. y =х
12
C. y= x + 12
D. y = 12
х
Answer:
The correct answer is option D
Step-by-step explanation:option A : y = x/12 ⇒ x = 12y (wrong option)
option B : y = 12/x ⇒ y * x = 12 (wrong option) and c will be equal 12
option C : y = x + 12 ⇒ not similar to the general form (wrong option)
option D : y = 12/x (corect option)( I meant to switch it around)
The general form of inverse variation between the variables x and y is as following:
where c is constant
So, the correct option is D
Select the sequence of transformations that are the inverse of rotating a figure 90° counterclockwise and then reflecting it over
the x-axis.
-))
A)
Reflect it over the line y = -x and then reflect it over the x-axis.
B)
Rotate the image 270° counterclockwise and then reflect it in the x-axis.
Rotate the image 180° counterclockwise and then reflect it in the x-axis.
D)
Reflecting it over the x-axis, then over the y-axis and finally over the line y
= X
B is the answer because it results in the shape being opposite of the original.
For questions 1 - 4, use your graphing calculator to help you sketch a graph of the function given. Then state whether each function is one-to-one. In each case, explain how you know.
Answer:
the function is one-to-one
Step-by-step explanation:
The graph is attached.
The function is one-to-one, because no horizontal line intersects the graph at more than one point.
5 < x + 10
what does x equal??
Hello there! :)
5<x+10
Move all the variables to the left, using the opposite operation:
-x<10-5
-x<5
x>-5
When we divide by a negative variable, we flip the inequality sign.
Therefore, x>-5Hope this helps!
~Just a felicitous girlie
#HaveASplendidDay
[tex]SilentNature :-)[/tex]
Answer:
x>-5
Step-by-step explanation:
x needs to be any number greater than 5, as you can see, this is an inequality not an equation so there is no defenite answer. if youdo the math, 10+-5 is 5, our answer cannot equal 5 it has to be greater than 5, Therefore, x can be any number greater than -5
At a certain time of day, a tree that is x meters tall casts a shadow that is x - 23 meters long. If the distance from the top of the tree to the end of
the shadow is x + 2 meters, what is the height, x, of the tree?
Answer:
The height, x of the tree is 35 meters
Step-by-step explanation:
use Pythagorean theory to answer
(x+2)^2= x^2+(x-23)^2
[tex]x^{2}[/tex]+4x+4=[tex]x^{2}[/tex]+[tex]x^{2}[/tex]-46x+529
re-arrange the equation and collect like terms
[tex]x^{2}[/tex]-50x+525=0
(x-35)(x-15)=0
x=15 or x=35
x cannot be 15 because 15-23 is a negative answer
therefore the height of tree is 35 m
ASAP!!!
What is the range of the function on the graph?
A all the real numbers
B all the real numbers greater than or equal to 0
C all the real numbers greater than or equal to 2
D all the real numbers greater than or equal to -3
Answer:
D all the real numbers greater than or equal to -3
Step-by-step explanation:
Kara has five exam scores of 93, 67, 82, 71, and 94 in her biology class. What score does she need on the final exam to have a mean grade of 80?
Round your answer to two decimal places, if necessary. (All exams have a maximum of 100 points.)
Answer:
She needs at least 73%
Step-by-step explanation:
1. add all of the numbers up and d the quantity to find
93+67+82+71+94/5
=407/5
=81.
2. try diffrent numbers
407+73/6
=480/6
=80
She needs at least 73%
Answer:
A score of 73
Step-by-step explanation:
Five exam scores + the final exam = mean (average) of 80.
First find the total points that you need to make an 80 average 80 × 6 = 480 points.
The five exam scores + x score = 480 points.
93 + 67 + 82 + 71 + 94 + x = 480
407 + x = 480
x = 480 - 407
x = 73
Type the correct answer in the box.
Winston is creating a rectangular piece of 8-bit art using squares that are x pixels wide. The length of the rectangular piece, in pixels, is represented by the function l(x) = x + 24, and the width of the rectangular piece is represented by w(x) = x + 16.
Write the standard form of the function which describes the total area of the rectangular piece, a(x), in terms of x, the side length of each square pixel.
Area=l×w
Function:-
[tex]\\ \sf\longmapsto (l*w)(x)[/tex]
[tex]\\ \sf\longmapsto l(x)*w(x)[/tex]
[tex]\\ \sf\longmapsto (x+24)(x+16)[/tex]
[tex]\\ \sf\longmapsto x^2+40x+384[/tex]
What temperature should I cook this
fish or while or you or ne or sex
Answer:
350
Step-by-step explanation:
you should cook it between 350-365
Help! Give brainliest!
City A grows by 5% every year. In 2001, it has a population of 145,201. What will the population be in 2037?
Total years=2037-2001=36
[tex]\\ \sf\longmapsto S=P\left(1+\dfrac{r}{100}\right)^t[/tex]
[tex]\\ \sf\longmapsto S=145201\left(1+\dfrac{5}{100}\right)^{36}[/tex]
[tex]\\ \sf\longmapsto S=145201\left(\dfrac{105}{100}\right)^{36}[/tex]
[tex]\\ \sf\longmapsto S=145201(1.05)^{36}[/tex]
[tex]\\ \sf\longmapsto S=145201(5.79)[/tex]
[tex]\\ \sf\longmapsto S\approx 840713[/tex]
___________
[tex]\:[/tex]
Answer in the picture.
GIVING 100 POINTS AND BRAINLIEST IF CORRECT! You recently upgraded your experience by buying an Controller for $74.99 and an Game Pass Subscription for $14.99 per month.
Answer:
Part A: It's linear because it increases at a constant rate of 14.99 dollars per month
Part B: C = 14.99M + 74.99 (y = 14.99x + 74.99)
Step-by-step explanation:
Part A: Every month, you have to pay the same amount.
1 month = 14.99
2 months = 14.99 + 14.99
3 months = 14.99 + 14.99 + 14.99
So, it's linear.
Part B: We have to use the formula y = mx + b, or slope-intercept form, to represent the total cost per month.
m = slope, b = y-intercept (initial value)
Let's have the total cost be represented as C
Let's also have the subscription per month be represented as M
So, C would = 74.99, because we only need to pay for a controller once
But we also our subsription per month, M, as 14.99.
So our final answer would be C = 14.99M + 74.99, or y = 14.99M + 74.99 if you can't make your own variables
I wanted to get more indepth. Try adding this to notes! <3
pls help I have headache i try everything
Answer:
210 students
Step-by-step explanation:
30%=63
10%=63÷3
=21
100%=21×10
=210
