Answer:
The answer to your question is: x = 1, y = 4
Step-by-step explanation:
I'll change decimals to fractions
4.5 = 9/2
12.5 = 25/2
3.25 = 13/4
0.75 = 3/4
-9/2 x - 2 y = - 25/2 (I)
13/4 x - y = - 3/4 (ll)
Process
from (II) y = 13/4x + 3/4
Sunstitution -9/2x -2(13/4 x + 3/4) = - 25/2
-9/2 x - 13/2 x - 3/2 = -25/2
Multiply by 2 -9 x - 13 x - 3 = -25
-22 x = -25 + 3
-22 x = -22
x = 22/22
x = 1
y = 13/4 (1) + 3/4
y = 16/4
y = 4
2 inches in between each, start off on the edge go in 3 inches secound brace, than finsh on the final edge
Step 1: subtract x from -3. New equation should be y=-3-x.
Step 2: plug that equation into top equation. Should be 5x + 2(-3-x) = 9.
Step 3: use distribitive properties on 2(-3-x). New equation is 5x - 6 - 2x = 9.
Step 4: combine like terms. New equation 3x - 6 = 9.
Step 5: work it out. Divide 3x and 9 by 3. New equation is x - 6 = 3. Add 6 to -6 and 9. Final eqaution is x = 9.
Step 6: swap 9 for x in second equation. New equation is 9 + y = -3
Step 7: subtract 9 from 9 and -3. New equation is y = -12
: = = -
Answer:
a) the proportion is 0.159 (15.9%)
b) the proportion is 0.524 (52.4%)
c) Ralph is 70.958 inches tall
Step-by-step explanation:
defining our random variable X= heights of men , then we can define the standard random variable Z as
Z= (X- μ)/σ , where μ is the population's mean and σ is the corresponding standard deviation of X
then for X=72
Z= (X- μ)/σ
Z= (72-68)/4 = 1
a) P(X> 72) = P(Z> 1) = 1-0.841 = 0.159 (using standard normal distribution tables)
b) for X=64 and X=74
Z₁= (64 -68)/4 = -1
Z₂= (74-68)/4 = 1.5
then
P(68<X< 74) = P(-1<Z <1.5) 0 = P(Z<1.5) - P(Z<-1) = 0.933- 0.159 =0.774
c) Z₃ = 0.933 - 0.774*0.25 = 0.7395
thus
Z₃= (X₃- μ)/σ →X₃ =μ+ Z₃*σ = 68 + 0.7395*4 = 70.958 inches
therefore Ralph is 70.958 inches tall
-33/12. Lets forget the negative symbol.
12 goes into 33, 2 times with 9 remaining.
So now get the negative sign back.
It will be -2 9/12 but you can reduce that to -2 3/4.
Hope this helps :)