For a data consisting of 9 observations, the sum of 9 values is 360 and the sum of squares of deviation taken from the mean is 288. Find the mean and variance of the observation.
Answer:
4 ; 32
Step-by-step explanation:
Given that :
Number of observations, n = 9
Let observations = X
ΣX = 360
The mean, (m) is calculated using the formula :
m = ΣX / n
m = 360 / 9
m = 4
Σ(X - m) = 288 (sum of square of deviation )
Variance is calculated using the formula :
[Σ(X - m) / n]
Variance = Sqrt(288 / 9)
Variance = 32
How to classify triangles by its sides and by its angles help pls
Step-by-step explanation:
triangle with 2 sides of equal lengths= isoceles
triangle with 3 sides of equal lengths= equilateral
Answer:
if the two sides are congruent, then it's an isosceles triangle.
all angles congruent and it's an equilateral.
all angles unequal and it's a scalene.
if all the angle measures are less than 90 degrees, then it's acute, but more than 90 degrees would be obtuse.
pls help me with this. im begging you!
Answer:
the top is 4* then the other two would have to evenly add up to 86=43
Step-by-step explanation:
Write the equation of the shown line in slope intercept form. I need help please!
Answer:
y = 1/4x -2
Step-by-step explanation:
Slope intercept from is y = mx + b
m is the slope (rise/run) and this one is one over four.
The y-intercept is b and this line crosses the y-axis at -2.
Jasmine is buying cakes for a party. One chocolate cake costs $7, and one lemon cake
costs $5. If Jasmine needs to buy 18 cakes and has $110 to spend, how many lemon
cakes can she buy?
Set up and solve a system of linear equations to model how to determine the number
of lemon cakes Jasmine can buy for the party.
Answer:
Step-by-step explanation: Am not sure if this is the answer you guys are looking for but my in 9th grade and this is how my math teacher taught me how to do it.
one chocolate cake=?=x
one lemon cake=?=y
$270 spent
need to buy total of 18 cakes
1-chocolate cake =$7
lemon cake = $5
cakes 18=x+y
money $110=$7x+$5y
When i graphed it on the demos calculator i got (10,8).
So 10= the number of chocolate cake brought and 4= the number of lemon cake brought
Janet had a sheet of paper that was 4 inches long the area was 40 inch square what is the width of the paper.
Answer:
10 inches
Step-by-step explanation:
Area is qual to length times width.
A = lw
Rearrange this to find width.
w = A/l
Now plug in your known numbers and simplify.
w = 40/4
w = 10
Which statement about is true? X = 1 is an extraneous solution. X = 1 is a true solution x = 3 is an extraneous solution. X = 3 is a true solution.
Answer:
x = 3 is an extraneous solution
Step-by-step explanation:
Answer:
Option 3
Step-by-step explanation:
Edg2021
What is the value of X in the equation?
Answer:
Whoa!! Dat is waaay too long
At a local gardening store, there is a small group of plants located near the gardening
supplies, and the remainder of the plants are arranged in equal-sized rows in the field
behind the store. The function 9(x) = 18x+23 represents the total number of plants at the
gardening store if there are x rows of plants in the field. What is the value of g(27)), the
total number of plants when there are 27 rows?
Answer:
uuuuuuuuu
Step-by-step explauuuuuuuuuuu
The required number of plants from the function is 509 when there are 27 rows.
Given that,
The function g(x) = 18x+23 represents the total number of plants at the gardening store if there are x rows of plants in the field. What is the value of g(27) is to be determined.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
Number of plants,
g(x) = 18x+23
Since the number of rows is 27
Now, the number of plants,
g(27) = 27 * 18 + 23
g(27) = 486 + 23
g(27) = 509
Thus, The required number of plants from the function is 509 when there are 27 rows.
learn more about function here:
brainly.com/question/21145944
#SPJ2
WILL GIVE BRAINLIEST PLZ HURRY
Caesar gets coffee from his local coffee shop when he has time in the morning. The coffee shop sells a ceramic refill mug for $8.95. Each refill costs $1.50. Last month Caesar spent $26.95 on a mug and refills.
Write an equation that you can use to find the number of refills Caesar purchased.
a.8.95r + 1.50= 26.95
b.8.95 + 1.50r= 26.95
c8.95 + 1.50 = 26.95r
How many refills did he buy? Solve the equation
(-∞-)help me help me help me help me help me help me help me help me help me help me help me help me help me help me help me help me help me help me
Answer:
-9
Step-by-step explanation:
Answer: -9
Step-by-step explanation: its just like adding positive numbers, just with negative signs
divide the decimal 134.55 by the decimal 0.5
Answer:
269.1
Step-by-step explanation:
Which of the following is equivalent to 3(x + 5) - 6 ?
Answer:
3x5 is 15, 15-6 is 9
Step-by-step explanation:
Mia wants to rent a paddleboat in Forest Park. The boathouse charges a 7$ fee, plus an hourly rate of 6$. For how long did Mia rent a paddleboat if she paid a total of 43$?
Answer:
6 hours.
Step-by-step explanation:
since the boat house charges 7 dollars we can subtract that from 43
43-7=36
since we have 36 left and the fee per hour is 6 we can devide
36÷6=6
Which expression is equivalent to (-4y - x) - (3y - 9x)
Answer: -7y+8x
Step-by-step explanation: I assume you mean to simplify
Step 1: Remove parentheses : -4y - x - (3y - 9x)
Step 2: -(3y - 9x) = -3y + 9x
Step 3: Simplify: -4y - x - 3y +9x
Step 4: Answer: -7y+8x
if 2×2=4 and 4×4=8. What is 8×8?
Answer:
64
Step-by-step explanation:
division 54 /7.5 plz answer this
Answer:
turn the decimal into a whole number by multiplying by 10, 100 (what you do to one number you must do to the other)
multiply both by 10 it then becomes
540/75 = 7.2
it's easier to divide whole numbers and is the same answer as 54/7.5
What is the rate of change for y=2x+10
Answer:
its 2
The general rate of change can be found by using the difference quotient formula. To find the average rate of change over an interval, enter a function with an interval
Zane has of a pie. He keeps a piece for himself and shares the rest equally with 2 friends.
What fraction of the whole pie wil each of the 3 students get?
Answer: 1/3
Step-by-step explanation:
Can anyone help?? Basic algebra-
Answer:
-7x+4y=15
Perpendicular lines have slopes with a product of -1
Step-by-step explanation:
The length of a planet's orbit around a star is approximately 29,870,000 km.
It takes the planet about 1670 Earth days to complete a full orbit.
What is the planet's average speed in kmh-' to 3sf?
Answer:
745 k/hr
Step-by-step explanation:
mathematically, 1 day = 24 hours
1670 days = 1670 * 24 = 40,080 hours
The speed is thus;
(29,870,000)/40,080 = 745.259
= 745 km/h
Solve the equation 6(x + 2) = 3(2x + 4).How many solutions are there? Show your work
Someone Asist me with this pleaseeee
Answer: it's the last one It's not a function
Step-by-step explanation
Solve the equation y=x2 −81
(d + 3) + (5d +4)=?
Help
Answer:
[tex]6d + 7[/tex]
Step-by-step explanation:
just add the like terms and remove the parthenses
d+ 5d = 6d
and 3+4 =7
6d + 7
Answer:
6d + 7
Step-by-step explanation:
7 cm
5.2 cm
6 cm
6 cm
6 cm
Answer:
m24,m249,m416,kar98k
Step-by-step explanation:
過文はまやたらあわまはやたはたやはたやたなまやたはたはまはたやあはたはたはたはたはた
Algebra 2-Which of the following is a like radical to .......
Answer:
A
Step-by-step explanation:
Like radicals are radicals that have the same root number and radicand (expression under the root)
Helpppppppppppppp meeeeeee ouuuuuutttt
Plz its easy
Answer: 2329 cups
Step-by-step explanation:
Make an equation and you will have c (total number of cups at the end)=2000-125-127+1719-356-782+0= 2329. So the total number of cups at the end of the week is 2329. Hope this helps!
£600 is invested into a savings account paying
5% compound interest per year. How much is in
the account after three years
Answer:
£694.575
Step-by-step explanation:
Using the formula for calculating the compound interest expressed as;
A = P(1+r)^t
P is the principal = £600
r is the rate = 5% = 0.05
t is the time = 3 years
Substitute into the formula;
A = 600(1+0.05)^3
A = 600(1.05)^3
A = 600(1.157625)
A = 694.575
hence the amount in the account after 3 years is £694.575
Mary's tube of red paint is five sevenths full and her blue paint is four sevenths full. How much red and blue paint does Mary have in total? Use the benchmark fraction one half, 1, and 0 to help you estimate each answer before you solve it.
Answer:
We know that:
Mary has 5/7 of the red paint tube
And she also has 4/7 of the blue paint tube.
How much paint does she have in total?
Well, we only need to add these fractions.
5/7 + 4/7 = 9/7
We can rewrite the 9 as 7 + 2, then we get:
9/7 = (7 + 2)/7 = 7/7 + 2/7 = 1 + 2/7
This means that, in total, she has a complete tube and two sevents of other.