15 is the standard deviation of 225 .
What is explained by the standard deviation?
You can tell how skewed the data is by looking at the standard deviation. It gauges how far away from the mean each observed value is.
Any distribution will have roughly 95% of its values within two standard deviations of the mean. Think about the following data: 2, 1, 3, 2, 4. The average and the sum of squares representing the observations' variances from the mean will be 2.4 and 5.2, respectively.
Variance is simply the square of the standard deviation (v=σ2) .
So if the variance is 225,
σ=√225 or 15.
Learn more about Standard deviation
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If the following triangles are similar solve for x
Answer:
x = 16
Step-by-step explanation:
Given that ∆EFG ~ ∆ABC, therefore the ratio of the their corresponding sides would be equal.
Thus:
EG/AC = EF/AB
EG = 756
AC = (45x - 76)
EF = 1107
AB = 943
Plug in the values into the equation
756/(45x - 76) = 1107/943
Cross Multiply
756*943 = (45x - 76)*1107
712,908 = 49,815x - 84,132
712,908 + 84,132 = 49,815x
797,040 = 49,815x
797,040/49,815 = x
16 = x
x = 16
Answer me this please!
Knowing the absolute value of the numbers will help you determine which is closest to ________
Answer:
0
Step-by-step explanation:
absolute value disregards -/+
Chloe's bookshelf has 6 books by Smith and 8 books by Jones. If she removes 4 books at random, what is the probability of removing 2 by each author?
Answer:
7%
Step-by-step explanation:
I added 8 and 6 then divided by 2
I'm taking probability and stats next year so ¡dk if its right
Answer:
42%
Step-by-step explanation:
Which figure is described below?
The locus of points in a plane 10
units from the line y = 4.
A ray
B. 2 parallel lines
C. circle
D. plane
Answer: 2 parallel lines
Find the value of x in the picture below.
Find a and b if
2^a×3^b=12
Answer:
12=12
Step-by-step explanation:
2a = b
a -3b =12
To solve, set one of the equations equal to zero. The first equation is actually already set to 0.
b = 2a
Now you can plug this equation into the other one, by substituting the b in the equation with this.
a -3b = 12
a – 3(2a) = 12
Now all you have to do is distribute the 3 (multiply the number outside the parenthesis, 3 in this case, by everything inside).
a – 6a = 12
Combine like terms. Since we have 1 positive a and 6 negative ones, we subtract the two numbers without the signs
6-1 = 5
And take the sign of the larger number. Since 6 is large and 6 is negative, we are left with
-5a = 12
Now solve for a, which in this case means dividing both sides by -5
a = -12/5
Simplify
a = -2.4
Now that you have a, it’s easy to find b
b = 2a
b = 2(-2.4)
b= -4.8
Now you check your work by plugging your new a and b into either equation to see if it’s true.
-4.8 = 2(-2.4)
-4.8 = -4.8
And just for laughs let’s try the other equation
a -3b =12
-2.4 – 3(-4.8) = 12
Distribute the 3 again. Remember that when two negative numbers are multiplied they become positive.
-2.4 +14.4 = 12
12 = 12
PLEASE HELP, I NEED THIS OR I WILL FAIL MY CLASS PLZZZZ.
30 POINTS AND BRANILEST
Answer:
this is 5 points not 30 mate
Your answer is B
Step-by-step explanation:
have a nice day
i hope this helps
mark brainliest please :)
Please help me out :)
Answer:
96 cm^3
Step-by-step explanation:
you just multiply all the numbers :)
7n-4=31
what does n stand for?
Answer:
it is the number you are trying to solve for which would be 5
Step-by-step explanation:
solve for x radical forms
Answer:
in right angled triangle ABC
by using Pythagoras law
h²=p²+b²
x²=7²+10²
x=√149=12.21cm
PLEASE HELP! I really really need help. If you can please help me with the answer.
Answer:
I believe it's 960
Step-by-step explanation:
Rect. Prism volume = 12 * 10 * 7 = 840
Pyramid = (12 * 10 * 3) / 3 = 120
Total = 840 + 120 = 960
What is the locus of two parallel lines?
a. One parallel line
b. One perpendicular bisector
c. Two parallel lines
d. one circle
Answer:
I think (A) One parallel line.
Step-by-step explanation:
Because there's two and simple math you would divide (width÷1).
Hope this helps! Have a good day/or night!
Expresa en forma algebraica. ⦁ El cuadrado de un número aumentado en 1. ⦁ Cinco veces un número menos 8. ⦁ El número siguiente a un múltiplo de 5. ⦁ Un número impar.
Answer:
1) N^2 + 1
2) 5*N - 9
3) n*5 + 1 (con n entero)
4) n*2 + 1 (con n entero)
Step-by-step explanation:
1) El cuadrado de un número aumentado en 1.
Podemos definir a N como el número.
El cuadrado de N es:
N^2
Y a esto lo tenemos que aumentar en 1, entonces tenemos:
N^2 + 1
Esto es el cuadrado de un número aumentado en 1.
2) Cinco veces un número menos 8.
Esto es:
5*N (5 veces un número)
Y a esto le restamos 8, para obtener:
5*N - 8
3) El número siguiente a un múltiplo de 5
Un multiplo de 5 se escribe como:
n*5
Donde n es un número entero.
El numero siguiente es:
n*5 + 1
4) Un número impar.
Bien, sabemos que un número par es un multiplo de 2.
Entonces:
n*2 es un número par.
Entonces, n*2 + 1 tiene que ser un numero impar.
En este caso la expresión algebraica es:
n*2 + 1
y=225(1.23)^2
growth or decay
Answer:
Growth
Step-by-step explanation:
You can simply look at this and say that this is growth because the number in the parenthesis is greater than 1.00.
It would only be decay if the parenthesis^2 resulted in a number less than 1
Luna mixes 3/4 cup of orange juice with 3/8 cup of cranberry juice. She gives 5/8 cup of the juice to mags. How much is left in lunas glass
Answer:
1/2
Step-by-step explanation:
3/4+3/8=9/8
9/8-5/8=1/2
Answer:
1/2 is left in Luna's glass
Step-by-step explanation:
3/4 is the same as 6/8
So 6/8 + 3/8 = 9/8
9/8 - 5/8 = 4/8.
4/8 can be simplified to 2/4, which can be simplified to 1/2
Which expression is equivalent to 5 (a + b)
solve for x.
please help.
Please find the attached photograph for your answer
find the value of a²+b when a =-2 and b=5
Answer:
4+5=9
Step-by-step explanation:
a2+b=9
Two negatives equal a positive you multiply 2, 2 times because of the power 2.
Answer:
[tex]\large\boxed{\boxed{\underline{\underline{\maltese{\pink{\pmb{\sf{\: Solution \Longrightarrow 9 }}}}}}}}[/tex]
Step-by-step explanation:
Given,
a = - 2
b = 5
Our expression is,
a² + b.
To solve this, we need to substitute the values of a & b in the given expresssion. So,
a² + b
= (-2)² + 5
= 4 + 5 (2 negatives when mutilpied gives a positive number)
= [tex]\boxed{\sf{9}}[/tex]
___________________________
[tex]\sf{Hope \: it \: helps}\\\mathfrak{Lucazz}[/tex]
is searching online for airline tickets. Two weeks ago, the cost to fly from to was 250$. Now the cost is 330 $. What is the percent increase? What would be the percent increase if the airline charges an additional $50 baggage fee with the new ticket price?
Answer:
Cost increases to $330.
The percent increase here would be:
= (New price - Old price )/ Old price
= (330 - 250) / 250
= 0.32
= 32%
Cost increases to $330 and charges $50 baggage fee
= (New price - Old price )/ Old price
= (330 + 50 - 250) / 250
= 0.52
= 52%
On the first january 2014 carol invested some money in a bank account the account payes 2.5% compound interest per year on 1st jan 2015 carol withdrew £1000 from the account on 1st jan 2026 sge had £23517.60 in the account work out how much carol originally invested in the account
Answer:
$23,360
Step-by-step explanation:
Calculation to determine how much carol originally invested in the account
First step is to divide £23517.60 by 1.025
= (23,517.60)/(1+.025)
= (23,517.60)/1.025
=$22,944
Second step is to add back the $1,000 withdrew
=$22,944+$1,000
=$23,944
Now let calculate how much carol originally invested in the account
$23,944=1.025P
Divide both side by 1.025
P=$23,944/1.025
P=$23,360
Therefore the amount that carol originally invested in the account is $23,360
Boy Scout camp and walk 6 km due east he then turns and walks 9 km due south what is his distance away from the camp at this point
Please give me the answer nothing else
Answer:
h = 45.5 ÷ 7
Step-by-step explanation:
Find the value of x. Show your work of a piece of paper
Answer:
3
Step-by-step explanation:
x/1= 9/3
solve to get 3
Answer:
X = 3
Step-by-step explanation:
1. Find the difference between 1 and 3. The larger triangle is being multiplied by 3
2. To find x you must divide 9 by 3 since the bigger triangle is 3 times bigger then the smaller one. X then equals 3
Hope that helps
Let me know if it is confusing
Simultaneous Equations - 5p-2q=9 3p+2q=7
Apnswer:
p = 1
q = -2
Step-by-step explanation:
5p - 2q = 9 eqn 1
3p + 2q = 7 eqn 2
subtract equation 2 from 1
2p = 2
p = 1
Substitute for p in equation 1
5(1) - 2q = 9
5 - 2q = 9
-2q = 4
q = -2
1/2y=13
Solve for y.
Answer:
The correct answer is Y = 26
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{1}{2}y = 13}[/tex]
[tex]\large\textsf{MULTIPLY 2 to BOTH SIDES}[/tex]
[tex]\mathsf{2\times\dfrac{1}{2}y=2\times13}[/tex]
[tex]\large\textsf{Cancel out: }\mathsf{2\times\dfrac{1}{2}}\large\textsf{ because that gives you 1}[/tex]
[tex]\large\textsf{Keep: }\mathsf{2\times13}\large\textsf{ because it gives you the value of \bf y}[/tex]
[tex]\mathsf{2\times13=\bf y}[/tex]
[tex]\mathsf{2\times13 = \bf 26}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf y = 26}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
What is the length of a in this triangle?
a^2 = 37^2 - 35^2
a^2 = 1369 - 1225
a^2 = 144
___
a = /144
a = 12
Let x=−1−5i
and y=5−i
. Find x−y
.
A. 6−4i
B. −12i
C. −6−4i
D. −6−6i
WILL GIVE BRAINLIEST TO CORRECT ANSWER!!!
A teacher surveys a sample of students from Lake Middle School. He asks the students where they’d like to go for a field trip. He records these results:
80 choose the aquarium.
60 choose the science center.
30 choose the planetarium.
40 choose the farm.
The teacher wants to figure out the relative frequency of a student choosing the aquarium. He will then estimate how many students out of all 1000 at the school are likely to choose the aquarium.
Answer the questions to solve the problem.
3. Suppose the teacher surveys one student at random. Based on the survey results, what is the estimated probability that the student chooses the aquarium?
Answer:
8/21 I reduced it, this is the simplest fraction
Answer:
1. 210 students
2. 80/210 students
3. 8/21 or 38%
4. 8/21 = x/1000 | X = 381 students
Step-by-step explanation:
if a person walks 2.4 miles in 1.5 hours how far can you walk in 6 hours
Answer: 9.6
Step-by-step explanation: I did a proportion, 2.4/1.5=?/6 so 6/1.5= 4 so 2.4*4= 9.6
So a person can walk 9.6 miles in 6 hours.
Hope this helps!
please help meee
a. square root of 4 and 3
b. square root of 2
c. 4
d. square root of 8 and 3
Answer:
a) 4sqrt3
Step-by-step explanation:
8/2=4
4*sqrt3=4sqrt3
look up 30 60 90 triangle