Answer:
6.27
Step-by-step explanation:
We are to obtain the standard deviation of the given values :
{24, 18, 31,25, 34}
The standard deviation = √(Σ(x - mean)²/ n)
The mean = (ΣX) /n
Using calculator to save computation time :
The standard deviation, s = 6.27 (2 decimal places)
Given:
Point G is the centroid of triangle ABC.
FG = x + 8 and AG = 6x - 4
To find:
The value of the variable x.
Solution:
Using rule of centroid:
Multiply by 3 on both sides, we get
⇒ 3(6x - 4) = 2(7x + 4)
⇒ 18x - 12 = 14x + 8
Subtract 14x from both sides.
⇒ 4x - 12 = 8
Add 12 on both sides.
⇒ 4x = 20
Divide by 4 on both sides.
⇒ x = 5
The value of x is 5.
Ella spent $13.5 dollars on rides. So she got in 27 rides.
{Solution: subtract 17.50 - 4= 13.5...... and then divide 13.5/.50=27}
Answer:
<h2>30</h2>
Step-by-step explanation:
<h3>to understand the steps</h3><h3>you need to know about:</h3>
- system of linear equation
- word problems
- PEMDAS
first step
let's create the equation word problem
<h3>my mother's current age is four times the sum of the ages of my two sisters. After 5 years, my mother's age will be double the sum of the ages of my two sisters. What is the current age of my mother? (imaginary problem)</h3>
let's solve
let my mother's and sister's age be x and y respectively
according to the first condition,x=4y....(I)
according to the 2nd condition,x+5=2(y+5×2).....(ii)
so the system of linear equations is
x=4y
x+5=2(y+5×2)
gets from the second equation
x+5=2(y+10)
x+5=2y+20
4y+5=2y+20 (as x=4y)
2y=15
y=7.5
so the age of mother is
x=4.(7.5)
x=30
Be more specific. Like what is it asking you to do ? I'm trying to help. :)
