To solve this problem, let us first assign some variables.
Let us say that the numbers are:
x = the variable representing the first number
y = the variable representing the second number
z = the variable representing the third number
From the given problem, we know that:
<span>x + y + z = 102 --->
1</span>
<span>z = 4 x --->
2</span>
<span>x = y + 6 --->
3</span>
Rewriting equation 3 in terms of y:
<span>y = x – 6 ---> 4</span>
Combining equations 1, 2 and 4 to express solely on x:
x + (x – 6) + (4 x) = 102
6 x – 6 = 102
6 x = 108
x = 18
From equation 2:
z = 4 (18)
z = 72
From equation 4:
y = 18 – 6
y = 12
Hence, the numbers are:
x = 18
y = 12
<span>z = 72</span>
Answer:
0.03
Step-by-step explanation:w
standard deviation = ( p(1-p) / n)1/2
p= sample proportion= 55%
n= sample size = 900
standard deviation = ( [55/100] [ 1- 55/100]) / 900)1/2
= (0.55*0.45 / 900)1/2
= 0.0165
margin of error = critical value*standard deviation
[ from graph critical value = 2]
margin of error = 2*0.0165=0.033
Answer:
Total Length is 9 1/3 inches shorter Than the required length
Step-by-step explanation:
Number of wood pieces cut = 4
Each piece is 2 1/3 inches too short
Total shortage in length :
Number of pieces * shortage per piece
4 * 2 1/3
4 * 7/3
= 28/3 inches = 9 1/3 inches
Hence, The total length of the wood is 9 1/3 inches shorter than the actual or required length of the wood.
I think it would be the last one
Option) If KLRT = LMST, ΔKLM ~ ΔRST
I'm sorry I'm not too certain...