1/2r -3= 3 (4-3/2r) is to be solved for r.
I'll begin by making the assumptions that by 1/2r you actually meant (1/2)r and that by 3/2r you actually meant (3/2)r. When in doubt, please use parentheses to make your meaning clear.
Thus, 1/2r -3= 3 (4-3/2r) becomes (1/2)r -3= 3 (4-(3/2)r ) .
Simplify this by multiplying all 3 terms by 2. Doing this will eliminate the fractions:
r -6 = 3 (4*2-(3)r ) or r - 6 = 24 - 9r
Now expand the right side, using the distributive property of
r - 3 = 24 - 9r
Regrouping so as to combine like terms:
10r = 30
Solving for r: r = 30/10 = 3
The value of r that satisfies this equation is 3
The value of X is 5 and QR is 34
Given:
Ten People
5 people = 30 years old
3 people = 32 years old
1 person = 31 years old
1 person = 65 years old
We need to arrange the ages in order from least to greatest.
30, 30, 30, 30, 30, 31, 32, 32, 32, 65
65 is the outlier.
A.) mean age without the outlier. count of the numbers : 9
5 x 30 = 150
1 x 31 = 31
3 x 32 =<u> 96</u>
total age 277
÷ # of pax<u> 9</u>
mean 30.77 round to the nearest tenth 30.80
b.) Standard deviation:
We need to calculate variance first:
5 pax : 30 - 30.80 = - 0.80 ⇒ -0.80² = 0.64 * 5pax = 3.20
1 pax : 31 - 30.80 = 0.20 ⇒ 0.20² = 0.04 * 1pax = 0.04
3 pax : 32 - 30.80 = 1.20 ⇒ 1.20² = 1.44 * 3 pax = 4.32
Variance : (3.20 + 0.04 + 4.32) / 9 pax = 7.56 / 9 = 0.84
Standard deviation is simply the square root of the variance.
Standard deviation = √0.84 = 0.916
0.916 round to nearest hundredths is 0.92
0.916 round to nearest tenths is 0.90
The answer would be <span>ordianl.
Hope this helps !
Photon</span>
